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 |
|---|---|---|---|---|---|---|---|---|
[
32,
70,
42,
48
] | 96 | [
"32+70=102",
"48-42=6",
"102-6=96"
] | Current State: 96:[32, 70, 42, 48], Operations: []
Exploring Operation: 32+70=102, Resulting Numbers: [42, 48, 102]
Generated Node #2: [42, 48, 102] from Operation: 32+70=102
Current State: 96:[42, 48, 102], Operations: ['32+70=102']
Exploring Operation: 48-42=6, Resulting Numbers: [102, 6]
Generated Node #3: [102, 6] from Operation: 48-42=6
Current State: 96:[102, 6], Operations: ['32+70=102', '48-42=6']
Exploring Operation: 102-6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[32, 70, 42, 48], Operations: []
Exploring Operation: 70-48=22, Resulting Numbers: [32, 42, 22]
Generated Node #0,0: 96:[32, 42, 22] Operation: 70-48=22
Exploring Operation: 70-42=28, Resulting Numbers: [32, 48, 28]
Generated Node #0,1: 96:[32, 48, 28] Operation: 70-42=28
Moving to Node #0,1
Current State: 96:[32, 48, 28], Operations: ['70-42=28']
Exploring Operation: 32-28=4, Resulting Numbers: [48, 4]
Generated Node #0,1,0: 96:[48, 4] Operation: 32-28=4
Exploring Operation: 48-32=16, Resulting Numbers: [28, 16]
Generated Node #0,1,1: 96:[28, 16] Operation: 48-32=16
Moving to Node #0,0
Current State: 96:[32, 42, 22], Operations: ['70-48=22']
Exploring Operation: 42-22=20, Resulting Numbers: [32, 20]
Generated Node #0,0,0: 96:[32, 20] Operation: 42-22=20
Exploring Operation: 42-32=10, Resulting Numbers: [22, 10]
Generated Node #0,0,1: 96:[22, 10] Operation: 42-32=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[32, 20], Operations: ['70-48=22', '42-22=20']
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 32+20=52, Resulting Numbers: [52]
52,96 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 #0,0,1
Current State: 96:[22, 10], Operations: ['70-48=22', '42-32=10']
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,96 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,96 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: 96:[48, 4], Operations: ['70-42=28', '32-28=4']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[28, 16], Operations: ['70-42=28', '48-32=16']
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,96 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
85,
70,
84,
4
] | 74 | [
"85-84=1",
"70+4=74",
"1*74=74"
] | Current State: 74:[85, 70, 84, 4], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [70, 4, 1]
Generated Node #2: [70, 4, 1] from Operation: 85-84=1
Current State: 74:[70, 4, 1], Operations: ['85-84=1']
Exploring Operation: 70+4=74, Resulting Numbers: [1, 74]
Generated Node #3: [1, 74] from Operation: 70+4=74
Current State: 74:[1, 74], Operations: ['85-84=1', '70+4=74']
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[85, 70, 84, 4], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [70, 4, 1]
Generated Node #0,0: 74:[70, 4, 1] Operation: 85-84=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[70, 4, 1], Operations: ['85-84=1']
Exploring Operation: 70+4=74, Resulting Numbers: [1, 74]
Generated Node #0,0,0: 74:[1, 74] Operation: 70+4=74
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[1, 74], Operations: ['85-84=1', '70+4=74']
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[85, 70, 84, 4], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [70, 4, 1]
Generated Node #0,0: 74:[70, 4, 1] Operation: 85-84=1
Moving to Node #0,0
Current State: 74:[70, 4, 1], Operations: ['85-84=1']
Exploring Operation: 70+4=74, Resulting Numbers: [1, 74]
Generated Node #0,0,0: 74:[1, 74] Operation: 70+4=74
Moving to Node #0,0,0
Current State: 74:[1, 74], Operations: ['85-84=1', '70+4=74']
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
35,
9,
3,
33
] | 21 | [
"35-9=26",
"33-26=7",
"3*7=21"
] | Current State: 21:[35, 9, 3, 33], Operations: []
Exploring Operation: 35-9=26, Resulting Numbers: [3, 33, 26]
Generated Node #2: [3, 33, 26] from Operation: 35-9=26
Current State: 21:[3, 33, 26], Operations: ['35-9=26']
Exploring Operation: 33-26=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 33-26=7
Current State: 21:[3, 7], Operations: ['35-9=26', '33-26=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[35, 9, 3, 33], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [9, 3, 2]
Generated Node #0,0: 21:[9, 3, 2] Operation: 35-33=2
Exploring Operation: 35-9=26, Resulting Numbers: [3, 33, 26]
Generated Node #0,1: 21:[3, 33, 26] Operation: 35-9=26
Exploring Operation: 33/3=11, Resulting Numbers: [35, 9, 11]
Generated Node #0,2: 21:[35, 9, 11] Operation: 33/3=11
Exploring Operation: 33-9=24, Resulting Numbers: [35, 3, 24]
Generated Node #0,3: 21:[35, 3, 24] Operation: 33-9=24
Exploring Operation: 35-3=32, Resulting Numbers: [9, 33, 32]
Generated Node #0,4: 21:[9, 33, 32] Operation: 35-3=32
Moving to Node #0,0
Current State: 21:[9, 3, 2], Operations: ['35-33=2']
Exploring Operation: 9-3=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 21:[2, 6] Operation: 9-3=6
Exploring Operation: 9-2=7, Resulting Numbers: [3, 7]
Generated Node #0,0,1: 21:[3, 7] Operation: 9-2=7
Exploring Operation: 9*2=18, Resulting Numbers: [3, 18]
Generated Node #0,0,2: 21:[3, 18] Operation: 9*2=18
Exploring Operation: 3*2=6, Resulting Numbers: [9, 6]
Generated Node #0,0,3: 21:[9, 6] Operation: 3*2=6
Exploring Operation: 9/3=3, Resulting Numbers: [2, 3]
Generated Node #0,0,4: 21:[2, 3] Operation: 9/3=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 21:[3, 7], Operations: ['35-33=2', '9-2=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[35, 9, 3, 33], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [9, 3, 2]
Generated Node #0,0: 21:[9, 3, 2] Operation: 35-33=2
Moving to Node #0,0
Current State: 21:[9, 3, 2], Operations: ['35-33=2']
Exploring Operation: 9-2=7, Resulting Numbers: [3, 7]
Generated Node #0,0,1: 21:[3, 7] Operation: 9-2=7
Moving to Node #0,0,1
Current State: 21:[3, 7], Operations: ['35-33=2', '9-2=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
34,
77,
17,
95
] | 59 | [
"34*77=2618",
"2618/17=154",
"154-95=59"
] | Current State: 59:[34, 77, 17, 95], Operations: []
Exploring Operation: 34*77=2618, Resulting Numbers: [17, 95, 2618]
Generated Node #2: [17, 95, 2618] from Operation: 34*77=2618
Current State: 59:[17, 95, 2618], Operations: ['34*77=2618']
Exploring Operation: 2618/17=154, Resulting Numbers: [95, 154]
Generated Node #3: [95, 154] from Operation: 2618/17=154
Current State: 59:[95, 154], Operations: ['34*77=2618', '2618/17=154']
Exploring Operation: 154-95=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[34, 77, 17, 95], Operations: []
Exploring Operation: 34+17=51, Resulting Numbers: [77, 95, 51]
Generated Node #0,0: 59:[77, 95, 51] Operation: 34+17=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[77, 95, 51], Operations: ['34+17=51']
Exploring Operation: 95-51=44, Resulting Numbers: [77, 44]
Generated Node #0,0,0: 59:[77, 44] Operation: 95-51=44
Moving to Node #0,0,0
Current State: 59:[77, 44], Operations: ['34+17=51', '95-51=44']
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,59 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 |
[
64,
43,
6,
48
] | 14 | [
"64+6=70",
"48-43=5",
"70/5=14"
] | Current State: 14:[64, 43, 6, 48], Operations: []
Exploring Operation: 64+6=70, Resulting Numbers: [43, 48, 70]
Generated Node #2: [43, 48, 70] from Operation: 64+6=70
Current State: 14:[43, 48, 70], Operations: ['64+6=70']
Exploring Operation: 48-43=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 48-43=5
Current State: 14:[70, 5], Operations: ['64+6=70', '48-43=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[64, 43, 6, 48], Operations: []
Exploring Operation: 64-48=16, Resulting Numbers: [43, 6, 16]
Generated Node #0,0: 14:[43, 6, 16] Operation: 64-48=16
Moving to Node #0,0
Current State: 14:[43, 6, 16], Operations: ['64-48=16']
Exploring Operation: 43-16=27, Resulting Numbers: [6, 27]
Generated Node #0,0,0: 14:[6, 27] Operation: 43-16=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[6, 27], Operations: ['64-48=16', '43-16=27']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
78,
43,
24,
41
] | 52 | [
"78-43=35",
"41-24=17",
"35+17=52"
] | Current State: 52:[78, 43, 24, 41], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [24, 41, 35]
Generated Node #2: [24, 41, 35] from Operation: 78-43=35
Current State: 52:[24, 41, 35], Operations: ['78-43=35']
Exploring Operation: 41-24=17, Resulting Numbers: [35, 17]
Generated Node #3: [35, 17] from Operation: 41-24=17
Current State: 52:[35, 17], Operations: ['78-43=35', '41-24=17']
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[78, 43, 24, 41], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [43, 24, 37]
Generated Node #0,0: 52:[43, 24, 37] Operation: 78-41=37
Exploring Operation: 78-24=54, Resulting Numbers: [43, 41, 54]
Generated Node #0,1: 52:[43, 41, 54] Operation: 78-24=54
Exploring Operation: 78-43=35, Resulting Numbers: [24, 41, 35]
Generated Node #0,2: 52:[24, 41, 35] Operation: 78-43=35
Exploring Operation: 41-24=17, Resulting Numbers: [78, 43, 17]
Generated Node #0,3: 52:[78, 43, 17] Operation: 41-24=17
Exploring Operation: 43-41=2, Resulting Numbers: [78, 24, 2]
Generated Node #0,4: 52:[78, 24, 2] Operation: 43-41=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[43, 24, 37], Operations: ['78-41=37']
Exploring Operation: 43+24=67, Resulting Numbers: [37, 67]
Generated Node #0,0,0: 52:[37, 67] Operation: 43+24=67
Exploring Operation: 37-24=13, Resulting Numbers: [43, 13]
Generated Node #0,0,1: 52:[43, 13] Operation: 37-24=13
Exploring Operation: 24+37=61, Resulting Numbers: [43, 61]
Generated Node #0,0,2: 52:[43, 61] Operation: 24+37=61
Exploring Operation: 43-24=19, Resulting Numbers: [37, 19]
Generated Node #0,0,3: 52:[37, 19] Operation: 43-24=19
Exploring Operation: 43-37=6, Resulting Numbers: [24, 6]
Generated Node #0,0,4: 52:[24, 6] Operation: 43-37=6
Moving to Node #0,0,4
Current State: 52:[24, 6], Operations: ['78-41=37', '43-37=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,52 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[43, 13], Operations: ['78-41=37', '37-24=13']
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[37, 19], Operations: ['78-41=37', '43-24=19']
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 37*19=703, Resulting Numbers: [703]
703,52 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[43, 61], Operations: ['78-41=37', '24+37=61']
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 43*61=2623, Resulting Numbers: [2623]
2623,52 unequal: No Solution
Exploring Operation: 43+61=104, Resulting Numbers: [104]
104,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[37, 67], Operations: ['78-41=37', '43+24=67']
Exploring Operation: 37+67=104, Resulting Numbers: [104]
104,52 unequal: No Solution
Exploring Operation: 37*67=2479, Resulting Numbers: [2479]
2479,52 unequal: No Solution
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[43, 41, 54], Operations: ['78-24=54']
Exploring Operation: 54-41=13, Resulting Numbers: [43, 13]
Generated Node #0,1,0: 52:[43, 13] Operation: 54-41=13
Exploring Operation: 41+54=95, Resulting Numbers: [43, 95]
Generated Node #0,1,1: 52:[43, 95] Operation: 41+54=95
Exploring Operation: 54-43=11, Resulting Numbers: [41, 11]
Generated Node #0,1,2: 52:[41, 11] Operation: 54-43=11
Exploring Operation: 43+41=84, Resulting Numbers: [54, 84]
Generated Node #0,1,3: 52:[54, 84] Operation: 43+41=84
Exploring Operation: 43-41=2, Resulting Numbers: [54, 2]
Generated Node #0,1,4: 52:[54, 2] Operation: 43-41=2
Moving to Node #0,1,4
Current State: 52:[54, 2], Operations: ['78-24=54', '43-41=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[78, 43, 24, 41], Operations: []
Exploring Operation: 78-24=54, Resulting Numbers: [43, 41, 54]
Generated Node #0,1: 52:[43, 41, 54] Operation: 78-24=54
Moving to Node #0,1
Current State: 52:[43, 41, 54], Operations: ['78-24=54']
Exploring Operation: 43-41=2, Resulting Numbers: [54, 2]
Generated Node #0,1,4: 52:[54, 2] Operation: 43-41=2
Moving to Node #0,1,4
Current State: 52:[54, 2], Operations: ['78-24=54', '43-41=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
55,
66,
95,
10
] | 83 | [
"66*10=660",
"660/55=12",
"95-12=83"
] | Current State: 83:[55, 66, 95, 10], Operations: []
Exploring Operation: 66*10=660, Resulting Numbers: [55, 95, 660]
Generated Node #2: [55, 95, 660] from Operation: 66*10=660
Current State: 83:[55, 95, 660], Operations: ['66*10=660']
Exploring Operation: 660/55=12, Resulting Numbers: [95, 12]
Generated Node #3: [95, 12] from Operation: 660/55=12
Current State: 83:[95, 12], Operations: ['66*10=660', '660/55=12']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[55, 66, 95, 10], Operations: []
Exploring Operation: 55+10=65, Resulting Numbers: [66, 95, 65]
Generated Node #0,0: 83:[66, 95, 65] Operation: 55+10=65
Exploring Operation: 66+10=76, Resulting Numbers: [55, 95, 76]
Generated Node #0,1: 83:[55, 95, 76] Operation: 66+10=76
Moving to Node #0,0
Current State: 83:[66, 95, 65], Operations: ['55+10=65']
Exploring Operation: 95-65=30, Resulting Numbers: [66, 30]
Generated Node #0,0,0: 83:[66, 30] Operation: 95-65=30
Exploring Operation: 66+65=131, Resulting Numbers: [95, 131]
Generated Node #0,0,1: 83:[95, 131] Operation: 66+65=131
Moving to Node #0,1
Current State: 83:[55, 95, 76], Operations: ['66+10=76']
Exploring Operation: 95-55=40, Resulting Numbers: [76, 40]
Generated Node #0,1,0: 83:[76, 40] Operation: 95-55=40
Exploring Operation: 55+76=131, Resulting Numbers: [95, 131]
Generated Node #0,1,1: 83:[95, 131] Operation: 55+76=131
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[76, 40], Operations: ['66+10=76', '95-55=40']
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 76+40=116, Resulting Numbers: [116]
116,83 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:[95, 131], Operations: ['66+10=76', '55+76=131']
Exploring Operation: 95+131=226, Resulting Numbers: [226]
226,83 unequal: No Solution
Exploring Operation: 131-95=36, Resulting Numbers: [36]
36,83 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:[95, 131], Operations: ['55+10=65', '66+65=131']
Exploring Operation: 131-95=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 95+131=226, Resulting Numbers: [226]
226,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[66, 30], Operations: ['55+10=65', '95-65=30']
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,83 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
29,
52,
3,
47
] | 82 | [
"29*3=87",
"52-47=5",
"87-5=82"
] | Current State: 82:[29, 52, 3, 47], Operations: []
Exploring Operation: 29*3=87, Resulting Numbers: [52, 47, 87]
Generated Node #2: [52, 47, 87] from Operation: 29*3=87
Current State: 82:[52, 47, 87], Operations: ['29*3=87']
Exploring Operation: 52-47=5, Resulting Numbers: [87, 5]
Generated Node #3: [87, 5] from Operation: 52-47=5
Current State: 82:[87, 5], Operations: ['29*3=87', '52-47=5']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[29, 52, 3, 47], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [29, 3, 5]
Generated Node #0,0: 82:[29, 3, 5] Operation: 52-47=5
Exploring Operation: 29+47=76, Resulting Numbers: [52, 3, 76]
Generated Node #0,1: 82:[52, 3, 76] Operation: 29+47=76
Exploring Operation: 29*3=87, Resulting Numbers: [52, 47, 87]
Generated Node #0,2: 82:[52, 47, 87] Operation: 29*3=87
Exploring Operation: 29+52=81, Resulting Numbers: [3, 47, 81]
Generated Node #0,3: 82:[3, 47, 81] Operation: 29+52=81
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[3, 47, 81], Operations: ['29+52=81']
Exploring Operation: 81-47=34, Resulting Numbers: [3, 34]
Generated Node #0,3,0: 82:[3, 34] Operation: 81-47=34
Exploring Operation: 3+81=84, Resulting Numbers: [47, 84]
Generated Node #0,3,1: 82:[47, 84] Operation: 3+81=84
Exploring Operation: 47-3=44, Resulting Numbers: [81, 44]
Generated Node #0,3,2: 82:[81, 44] Operation: 47-3=44
Exploring Operation: 3+47=50, Resulting Numbers: [81, 50]
Generated Node #0,3,3: 82:[81, 50] Operation: 3+47=50
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 82:[81, 44], Operations: ['29+52=81', '47-3=44']
Exploring Operation: 81+44=125, Resulting Numbers: [125]
125,82 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 81*44=3564, Resulting Numbers: [3564]
3564,82 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 #0,3,0
Current State: 82:[3, 34], Operations: ['29+52=81', '81-47=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,82 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,82 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 #0,3,1
Current State: 82:[47, 84], Operations: ['29+52=81', '3+81=84']
Exploring Operation: 84-47=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 47+84=131, Resulting Numbers: [131]
131,82 unequal: No Solution
Exploring Operation: 47*84=3948, Resulting Numbers: [3948]
3948,82 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 #0,3,3
Current State: 82:[81, 50], Operations: ['29+52=81', '3+47=50']
Exploring Operation: 81-50=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 81+50=131, Resulting Numbers: [131]
131,82 unequal: No Solution
Exploring Operation: 81*50=4050, Resulting Numbers: [4050]
4050,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[29, 3, 5], Operations: ['52-47=5']
Exploring Operation: 29+3=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 82:[5, 32] Operation: 29+3=32
Exploring Operation: 5-3=2, Resulting Numbers: [29, 2]
Generated Node #0,0,1: 82:[29, 2] Operation: 5-3=2
Exploring Operation: 29*3=87, Resulting Numbers: [5, 87]
Generated Node #0,0,2: 82:[5, 87] Operation: 29*3=87
Exploring Operation: 29+5=34, Resulting Numbers: [3, 34]
Generated Node #0,0,3: 82:[3, 34] Operation: 29+5=34
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[5, 87], Operations: ['52-47=5', '29*3=87']
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[29, 52, 3, 47], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [29, 3, 5]
Generated Node #0,0: 82:[29, 3, 5] Operation: 52-47=5
Moving to Node #0,0
Current State: 82:[29, 3, 5], Operations: ['52-47=5']
Exploring Operation: 29*3=87, Resulting Numbers: [5, 87]
Generated Node #0,0,2: 82:[5, 87] Operation: 29*3=87
Moving to Node #0,0,2
Current State: 82:[5, 87], Operations: ['52-47=5', '29*3=87']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
50,
3,
33,
19
] | 67 | [
"50+3=53",
"33-19=14",
"53+14=67"
] | Current State: 67:[50, 3, 33, 19], Operations: []
Exploring Operation: 50+3=53, Resulting Numbers: [33, 19, 53]
Generated Node #2: [33, 19, 53] from Operation: 50+3=53
Current State: 67:[33, 19, 53], Operations: ['50+3=53']
Exploring Operation: 33-19=14, Resulting Numbers: [53, 14]
Generated Node #3: [53, 14] from Operation: 33-19=14
Current State: 67:[53, 14], Operations: ['50+3=53', '33-19=14']
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[50, 3, 33, 19], Operations: []
Exploring Operation: 3+33=36, Resulting Numbers: [50, 19, 36]
Generated Node #0,0: 67:[50, 19, 36] Operation: 3+33=36
Exploring Operation: 50+3=53, Resulting Numbers: [33, 19, 53]
Generated Node #0,1: 67:[33, 19, 53] Operation: 50+3=53
Exploring Operation: 3*19=57, Resulting Numbers: [50, 33, 57]
Generated Node #0,2: 67:[50, 33, 57] Operation: 3*19=57
Moving to Node #0,2
Current State: 67:[50, 33, 57], Operations: ['3*19=57']
Exploring Operation: 33+57=90, Resulting Numbers: [50, 90]
Generated Node #0,2,0: 67:[50, 90] Operation: 33+57=90
Exploring Operation: 50+33=83, Resulting Numbers: [57, 83]
Generated Node #0,2,1: 67:[57, 83] Operation: 50+33=83
Exploring Operation: 50-33=17, Resulting Numbers: [57, 17]
Generated Node #0,2,2: 67:[57, 17] Operation: 50-33=17
Moving to Node #0,0
Current State: 67:[50, 19, 36], Operations: ['3+33=36']
Exploring Operation: 50+19=69, Resulting Numbers: [36, 69]
Generated Node #0,0,0: 67:[36, 69] Operation: 50+19=69
Exploring Operation: 50-19=31, Resulting Numbers: [36, 31]
Generated Node #0,0,1: 67:[36, 31] Operation: 50-19=31
Exploring Operation: 19+36=55, Resulting Numbers: [50, 55]
Generated Node #0,0,2: 67:[50, 55] Operation: 19+36=55
Moving to Node #0,1
Current State: 67:[33, 19, 53], Operations: ['50+3=53']
Exploring Operation: 33+19=52, Resulting Numbers: [53, 52]
Generated Node #0,1,0: 67:[53, 52] Operation: 33+19=52
Exploring Operation: 19+53=72, Resulting Numbers: [33, 72]
Generated Node #0,1,1: 67:[33, 72] Operation: 19+53=72
Exploring Operation: 33-19=14, Resulting Numbers: [53, 14]
Generated Node #0,1,2: 67:[53, 14] Operation: 33-19=14
Moving to Node #0,2,1
Current State: 67:[57, 83], Operations: ['3*19=57', '50+33=83']
Exploring Operation: 57*83=4731, Resulting Numbers: [4731]
4731,67 unequal: No Solution
Exploring Operation: 83-57=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 57+83=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[53, 52], Operations: ['50+3=53', '33+19=52']
Exploring Operation: 53*52=2756, Resulting Numbers: [2756]
2756,67 unequal: No Solution
Exploring Operation: 53+52=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[50, 55], Operations: ['3+33=36', '19+36=55']
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 50+55=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 50*55=2750, Resulting Numbers: [2750]
2750,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[36, 69], Operations: ['3+33=36', '50+19=69']
Exploring Operation: 36+69=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 36*69=2484, Resulting Numbers: [2484]
2484,67 unequal: No Solution
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[33, 72], Operations: ['50+3=53', '19+53=72']
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 33*72=2376, Resulting Numbers: [2376]
2376,67 unequal: No Solution
Exploring Operation: 33+72=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[50, 90], Operations: ['3*19=57', '33+57=90']
Exploring Operation: 50*90=4500, Resulting Numbers: [4500]
4500,67 unequal: No Solution
Exploring Operation: 50+90=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[57, 17], Operations: ['3*19=57', '50-33=17']
Exploring Operation: 57*17=969, Resulting Numbers: [969]
969,67 unequal: No Solution
Exploring Operation: 57+17=74, Resulting Numbers: [74]
74,67 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[53, 14], Operations: ['50+3=53', '33-19=14']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[50, 3, 33, 19], Operations: []
Exploring Operation: 50+3=53, Resulting Numbers: [33, 19, 53]
Generated Node #0,1: 67:[33, 19, 53] Operation: 50+3=53
Moving to Node #0,1
Current State: 67:[33, 19, 53], Operations: ['50+3=53']
Exploring Operation: 33-19=14, Resulting Numbers: [53, 14]
Generated Node #0,1,2: 67:[53, 14] Operation: 33-19=14
Moving to Node #0,1,2
Current State: 67:[53, 14], Operations: ['50+3=53', '33-19=14']
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 0.966146 | hs_3 | mult_heuristic |
[
27,
40,
42,
85
] | 24 | [
"27+40=67",
"85-42=43",
"67-43=24"
] | Current State: 24:[27, 40, 42, 85], Operations: []
Exploring Operation: 27+40=67, Resulting Numbers: [42, 85, 67]
Generated Node #2: [42, 85, 67] from Operation: 27+40=67
Current State: 24:[42, 85, 67], Operations: ['27+40=67']
Exploring Operation: 85-42=43, Resulting Numbers: [67, 43]
Generated Node #3: [67, 43] from Operation: 85-42=43
Current State: 24:[67, 43], Operations: ['27+40=67', '85-42=43']
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[27, 40, 42, 85], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [27, 42, 45]
Generated Node #0,0: 24:[27, 42, 45] Operation: 85-40=45
Exploring Operation: 40-27=13, Resulting Numbers: [42, 85, 13]
Generated Node #0,1: 24:[42, 85, 13] Operation: 40-27=13
Exploring Operation: 42-40=2, Resulting Numbers: [27, 85, 2]
Generated Node #0,2: 24:[27, 85, 2] Operation: 42-40=2
Exploring Operation: 85-42=43, Resulting Numbers: [27, 40, 43]
Generated Node #0,3: 24:[27, 40, 43] Operation: 85-42=43
Exploring Operation: 85-27=58, Resulting Numbers: [40, 42, 58]
Generated Node #0,4: 24:[40, 42, 58] Operation: 85-27=58
Moving to Node #0,3
Current State: 24:[27, 40, 43], Operations: ['85-42=43']
Exploring Operation: 43-27=16, Resulting Numbers: [40, 16]
Generated Node #0,3,0: 24:[40, 16] Operation: 43-27=16
Exploring Operation: 40-27=13, Resulting Numbers: [43, 13]
Generated Node #0,3,1: 24:[43, 13] Operation: 40-27=13
Exploring Operation: 43-40=3, Resulting Numbers: [27, 3]
Generated Node #0,3,2: 24:[27, 3] Operation: 43-40=3
Exploring Operation: 27+43=70, Resulting Numbers: [40, 70]
Generated Node #0,3,3: 24:[40, 70] Operation: 27+43=70
Exploring Operation: 27+40=67, Resulting Numbers: [43, 67]
Generated Node #0,3,4: 24:[43, 67] Operation: 27+40=67
Moving to Node #0,0
Current State: 24:[27, 42, 45], Operations: ['85-40=45']
Exploring Operation: 45-42=3, Resulting Numbers: [27, 3]
Generated Node #0,0,0: 24:[27, 3] Operation: 45-42=3
Exploring Operation: 42-27=15, Resulting Numbers: [45, 15]
Generated Node #0,0,1: 24:[45, 15] Operation: 42-27=15
Exploring Operation: 45-27=18, Resulting Numbers: [42, 18]
Generated Node #0,0,2: 24:[42, 18] Operation: 45-27=18
Exploring Operation: 27+42=69, Resulting Numbers: [45, 69]
Generated Node #0,0,3: 24:[45, 69] Operation: 27+42=69
Exploring Operation: 27+45=72, Resulting Numbers: [42, 72]
Generated Node #0,0,4: 24:[42, 72] Operation: 27+45=72
Moving to Node #0,2
Current State: 24:[27, 85, 2], Operations: ['42-40=2']
Exploring Operation: 85+2=87, Resulting Numbers: [27, 87]
Generated Node #0,2,0: 24:[27, 87] Operation: 85+2=87
Exploring Operation: 85-27=58, Resulting Numbers: [2, 58]
Generated Node #0,2,1: 24:[2, 58] Operation: 85-27=58
Exploring Operation: 85-2=83, Resulting Numbers: [27, 83]
Generated Node #0,2,2: 24:[27, 83] Operation: 85-2=83
Exploring Operation: 27-2=25, Resulting Numbers: [85, 25]
Generated Node #0,2,3: 24:[85, 25] Operation: 27-2=25
Exploring Operation: 27+2=29, Resulting Numbers: [85, 29]
Generated Node #0,2,4: 24:[85, 29] Operation: 27+2=29
Moving to Node #0,4
Current State: 24:[40, 42, 58], Operations: ['85-27=58']
Exploring Operation: 40+58=98, Resulting Numbers: [42, 98]
Generated Node #0,4,0: 24:[42, 98] Operation: 40+58=98
Exploring Operation: 58-42=16, Resulting Numbers: [40, 16]
Generated Node #0,4,1: 24:[40, 16] Operation: 58-42=16
Exploring Operation: 42-40=2, Resulting Numbers: [58, 2]
Generated Node #0,4,2: 24:[58, 2] Operation: 42-40=2
Exploring Operation: 58-40=18, Resulting Numbers: [42, 18]
Generated Node #0,4,3: 24:[42, 18] Operation: 58-40=18
Exploring Operation: 40+42=82, Resulting Numbers: [58, 82]
Generated Node #0,4,4: 24:[58, 82] Operation: 40+42=82
Moving to Node #0,1
Current State: 24:[42, 85, 13], Operations: ['40-27=13']
Exploring Operation: 85+13=98, Resulting Numbers: [42, 98]
Generated Node #0,1,0: 24:[42, 98] Operation: 85+13=98
Exploring Operation: 85-13=72, Resulting Numbers: [42, 72]
Generated Node #0,1,1: 24:[42, 72] Operation: 85-13=72
Exploring Operation: 85-42=43, Resulting Numbers: [13, 43]
Generated Node #0,1,2: 24:[13, 43] Operation: 85-42=43
Exploring Operation: 42-13=29, Resulting Numbers: [85, 29]
Generated Node #0,1,3: 24:[85, 29] Operation: 42-13=29
Exploring Operation: 42+13=55, Resulting Numbers: [85, 55]
Generated Node #0,1,4: 24:[85, 55] Operation: 42+13=55
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 24:[13, 43], Operations: ['40-27=13', '85-42=43']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,24 unequal: No Solution
No 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: 24:[42, 72], Operations: ['40-27=13', '85-13=72']
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 42*72=3024, Resulting Numbers: [3024]
3024,24 unequal: No Solution
Exploring Operation: 42+72=114, Resulting Numbers: [114]
114,24 unequal: No Solution
No 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: 24:[85, 29], Operations: ['40-27=13', '42-13=29']
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 85*29=2465, Resulting Numbers: [2465]
2465,24 unequal: No Solution
Exploring Operation: 85+29=114, Resulting Numbers: [114]
114,24 unequal: No Solution
No 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: 24:[42, 98], Operations: ['40-27=13', '85+13=98']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 42+98=140, Resulting Numbers: [140]
140,24 unequal: No Solution
Exploring Operation: 42*98=4116, Resulting Numbers: [4116]
4116,24 unequal: No Solution
No 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: 24:[85, 55], Operations: ['40-27=13', '42+13=55']
Exploring Operation: 85*55=4675, Resulting Numbers: [4675]
4675,24 unequal: No Solution
Exploring Operation: 85+55=140, Resulting Numbers: [140]
140,24 unequal: No Solution
Exploring Operation: 85-55=30, Resulting Numbers: [30]
30,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 24:[27, 3], Operations: ['85-42=43', '43-40=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[27, 40, 42, 85], Operations: []
Exploring Operation: 85-42=43, Resulting Numbers: [27, 40, 43]
Generated Node #0,3: 24:[27, 40, 43] Operation: 85-42=43
Moving to Node #0,3
Current State: 24:[27, 40, 43], Operations: ['85-42=43']
Exploring Operation: 43-40=3, Resulting Numbers: [27, 3]
Generated Node #0,3,2: 24:[27, 3] Operation: 43-40=3
Moving to Node #0,3,2
Current State: 24:[27, 3], Operations: ['85-42=43', '43-40=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.955729 | hs_5 | sum_heuristic |
[
5,
92,
61,
68
] | 46 | [
"5+61=66",
"68-66=2",
"92/2=46"
] | Current State: 46:[5, 92, 61, 68], Operations: []
Exploring Operation: 5+61=66, Resulting Numbers: [92, 68, 66]
Generated Node #2: [92, 68, 66] from Operation: 5+61=66
Current State: 46:[92, 68, 66], Operations: ['5+61=66']
Exploring Operation: 68-66=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 68-66=2
Current State: 46:[92, 2], Operations: ['5+61=66', '68-66=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[5, 92, 61, 68], Operations: []
Exploring Operation: 92-5=87, Resulting Numbers: [61, 68, 87]
Generated Node #0,0: 46:[61, 68, 87] Operation: 92-5=87
Exploring Operation: 92-61=31, Resulting Numbers: [5, 68, 31]
Generated Node #0,1: 46:[5, 68, 31] Operation: 92-61=31
Exploring Operation: 68-61=7, Resulting Numbers: [5, 92, 7]
Generated Node #0,2: 46:[5, 92, 7] Operation: 68-61=7
Exploring Operation: 92-68=24, Resulting Numbers: [5, 61, 24]
Generated Node #0,3: 46:[5, 61, 24] Operation: 92-68=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[5, 61, 24], Operations: ['92-68=24']
Exploring Operation: 61-5=56, Resulting Numbers: [24, 56]
Generated Node #0,3,0: 46:[24, 56] Operation: 61-5=56
Exploring Operation: 24-5=19, Resulting Numbers: [61, 19]
Generated Node #0,3,1: 46:[61, 19] Operation: 24-5=19
Exploring Operation: 5+61=66, Resulting Numbers: [24, 66]
Generated Node #0,3,2: 46:[24, 66] Operation: 5+61=66
Exploring Operation: 61-24=37, Resulting Numbers: [5, 37]
Generated Node #0,3,3: 46:[5, 37] Operation: 61-24=37
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 46:[24, 56], Operations: ['92-68=24', '61-5=56']
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 24+56=80, Resulting Numbers: [80]
80,46 unequal: No Solution
Exploring Operation: 24*56=1344, Resulting Numbers: [1344]
1344,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 46:[5, 37], Operations: ['92-68=24', '61-24=37']
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 46:[61, 19], Operations: ['92-68=24', '24-5=19']
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 61*19=1159, Resulting Numbers: [1159]
1159,46 unequal: No Solution
Exploring Operation: 61+19=80, Resulting Numbers: [80]
80,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 46:[24, 66], Operations: ['92-68=24', '5+61=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 24*66=1584, Resulting Numbers: [1584]
1584,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[5, 68, 31], Operations: ['92-61=31']
Exploring Operation: 5+31=36, Resulting Numbers: [68, 36]
Generated Node #0,1,0: 46:[68, 36] Operation: 5+31=36
Exploring Operation: 68-5=63, Resulting Numbers: [31, 63]
Generated Node #0,1,1: 46:[31, 63] Operation: 68-5=63
Exploring Operation: 68-31=37, Resulting Numbers: [5, 37]
Generated Node #0,1,2: 46:[5, 37] Operation: 68-31=37
Exploring Operation: 31-5=26, Resulting Numbers: [68, 26]
Generated Node #0,1,3: 46:[68, 26] Operation: 31-5=26
Moving to Node #0,1,2
Current State: 46:[5, 37], Operations: ['92-61=31', '68-31=37']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[68, 26], Operations: ['92-61=31', '31-5=26']
Exploring Operation: 68+26=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 68*26=1768, Resulting Numbers: [1768]
1768,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[31, 63], Operations: ['92-61=31', '68-5=63']
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 31*63=1953, Resulting Numbers: [1953]
1953,46 unequal: No Solution
Exploring Operation: 31+63=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[68, 36], Operations: ['92-61=31', '5+31=36']
Exploring Operation: 68+36=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 68*36=2448, Resulting Numbers: [2448]
2448,46 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[5, 92, 7], Operations: ['68-61=7']
Exploring Operation: 7-5=2, Resulting Numbers: [92, 2]
Generated Node #0,2,0: 46:[92, 2] Operation: 7-5=2
Exploring Operation: 92-5=87, Resulting Numbers: [7, 87]
Generated Node #0,2,1: 46:[7, 87] Operation: 92-5=87
Exploring Operation: 92-7=85, Resulting Numbers: [5, 85]
Generated Node #0,2,2: 46:[5, 85] Operation: 92-7=85
Exploring Operation: 5+92=97, Resulting Numbers: [7, 97]
Generated Node #0,2,3: 46:[7, 97] Operation: 5+92=97
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 46:[5, 85], Operations: ['68-61=7', '92-7=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,46 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 46:[92, 2], Operations: ['68-61=7', '7-5=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[5, 92, 61, 68], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [5, 92, 7]
Generated Node #0,2: 46:[5, 92, 7] Operation: 68-61=7
Moving to Node #0,2
Current State: 46:[5, 92, 7], Operations: ['68-61=7']
Exploring Operation: 7-5=2, Resulting Numbers: [92, 2]
Generated Node #0,2,0: 46:[92, 2] Operation: 7-5=2
Moving to Node #0,2,0
Current State: 46:[92, 2], Operations: ['68-61=7', '7-5=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.956597 | hs_4 | sum_heuristic |
[
83,
15,
44,
5
] | 42 | [
"83-44=39",
"15/5=3",
"39+3=42"
] | Current State: 42:[83, 15, 44, 5], Operations: []
Exploring Operation: 83-44=39, Resulting Numbers: [15, 5, 39]
Generated Node #2: [15, 5, 39] from Operation: 83-44=39
Current State: 42:[15, 5, 39], Operations: ['83-44=39']
Exploring Operation: 15/5=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 15/5=3
Current State: 42:[39, 3], Operations: ['83-44=39', '15/5=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[83, 15, 44, 5], Operations: []
Exploring Operation: 83-15=68, Resulting Numbers: [44, 5, 68]
Generated Node #0,0: 42:[44, 5, 68] Operation: 83-15=68
Exploring Operation: 83-44=39, Resulting Numbers: [15, 5, 39]
Generated Node #0,1: 42:[15, 5, 39] Operation: 83-44=39
Exploring Operation: 83-5=78, Resulting Numbers: [15, 44, 78]
Generated Node #0,2: 42:[15, 44, 78] Operation: 83-5=78
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[15, 5, 39], Operations: ['83-44=39']
Exploring Operation: 15/5=3, Resulting Numbers: [39, 3]
Generated Node #0,1,0: 42:[39, 3] Operation: 15/5=3
Exploring Operation: 15+5=20, Resulting Numbers: [39, 20]
Generated Node #0,1,1: 42:[39, 20] Operation: 15+5=20
Exploring Operation: 5+39=44, Resulting Numbers: [15, 44]
Generated Node #0,1,2: 42:[15, 44] Operation: 5+39=44
Moving to Node #0,1,0
Current State: 42:[39, 3], Operations: ['83-44=39', '15/5=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,42 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[83, 15, 44, 5], Operations: []
Exploring Operation: 83-44=39, Resulting Numbers: [15, 5, 39]
Generated Node #0,1: 42:[15, 5, 39] Operation: 83-44=39
Moving to Node #0,1
Current State: 42:[15, 5, 39], Operations: ['83-44=39']
Exploring Operation: 15/5=3, Resulting Numbers: [39, 3]
Generated Node #0,1,0: 42:[39, 3] Operation: 15/5=3
Moving to Node #0,1,0
Current State: 42:[39, 3], Operations: ['83-44=39', '15/5=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
17,
58,
19,
97
] | 57 | [
"17*58=986",
"97+986=1083",
"1083/19=57"
] | Current State: 57:[17, 58, 19, 97], Operations: []
Exploring Operation: 17*58=986, Resulting Numbers: [19, 97, 986]
Generated Node #2: [19, 97, 986] from Operation: 17*58=986
Current State: 57:[19, 97, 986], Operations: ['17*58=986']
Exploring Operation: 97+986=1083, Resulting Numbers: [19, 1083]
Generated Node #3: [19, 1083] from Operation: 97+986=1083
Current State: 57:[19, 1083], Operations: ['17*58=986', '97+986=1083']
Exploring Operation: 1083/19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[17, 58, 19, 97], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [17, 19, 39]
Generated Node #0,0: 57:[17, 19, 39] Operation: 97-58=39
Exploring Operation: 97-19=78, Resulting Numbers: [17, 58, 78]
Generated Node #0,1: 57:[17, 58, 78] Operation: 97-19=78
Exploring Operation: 97-17=80, Resulting Numbers: [58, 19, 80]
Generated Node #0,2: 57:[58, 19, 80] Operation: 97-17=80
Moving to Node #0,0
Current State: 57:[17, 19, 39], Operations: ['97-58=39']
Exploring Operation: 39-17=22, Resulting Numbers: [19, 22]
Generated Node #0,0,0: 57:[19, 22] Operation: 39-17=22
Exploring Operation: 19+39=58, Resulting Numbers: [17, 58]
Generated Node #0,0,1: 57:[17, 58] Operation: 19+39=58
Exploring Operation: 17+39=56, Resulting Numbers: [19, 56]
Generated Node #0,0,2: 57:[19, 56] Operation: 17+39=56
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 57:[19, 56], Operations: ['97-58=39', '17+39=56']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,57 unequal: No Solution
Exploring Operation: 19*56=1064, Resulting Numbers: [1064]
1064,57 unequal: No Solution
Exploring Operation: 19+56=75, Resulting Numbers: [75]
75,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[19, 22], Operations: ['97-58=39', '39-17=22']
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,57 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[17, 58], Operations: ['97-58=39', '19+39=58']
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 17+58=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Exploring Operation: 17*58=986, Resulting Numbers: [986]
986,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 57:[17, 58, 78], Operations: ['97-19=78']
Exploring Operation: 78-17=61, Resulting Numbers: [58, 61]
Generated Node #0,1,0: 57:[58, 61] Operation: 78-17=61
Exploring Operation: 78-58=20, Resulting Numbers: [17, 20]
Generated Node #0,1,1: 57:[17, 20] Operation: 78-58=20
Exploring Operation: 58-17=41, Resulting Numbers: [78, 41]
Generated Node #0,1,2: 57:[78, 41] Operation: 58-17=41
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[17, 20], Operations: ['97-19=78', '78-58=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,57 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[58, 61], Operations: ['97-19=78', '78-17=61']
Exploring Operation: 58+61=119, Resulting Numbers: [119]
119,57 unequal: No Solution
Exploring Operation: 58*61=3538, Resulting Numbers: [3538]
3538,57 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 57:[78, 41], Operations: ['97-19=78', '58-17=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,57 unequal: No Solution
Exploring Operation: 78*41=3198, Resulting Numbers: [3198]
3198,57 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,57 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: 57:[58, 19, 80], Operations: ['97-17=80']
Exploring Operation: 80-58=22, Resulting Numbers: [19, 22]
Generated Node #0,2,0: 57:[19, 22] Operation: 80-58=22
Exploring Operation: 58-19=39, Resulting Numbers: [80, 39]
Generated Node #0,2,1: 57:[80, 39] Operation: 58-19=39
Exploring Operation: 80-19=61, Resulting Numbers: [58, 61]
Generated Node #0,2,2: 57:[58, 61] Operation: 80-19=61
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[19, 22], Operations: ['97-17=80', '80-58=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[58, 61], Operations: ['97-17=80', '80-19=61']
Exploring Operation: 58*61=3538, Resulting Numbers: [3538]
3538,57 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 58+61=119, Resulting Numbers: [119]
119,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[80, 39], Operations: ['97-17=80', '58-19=39']
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 80+39=119, Resulting Numbers: [119]
119,57 unequal: No Solution
Exploring Operation: 80*39=3120, Resulting Numbers: [3120]
3120,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
17,
55,
32,
85
] | 79 | [
"55-17=38",
"32+85=117",
"117-38=79"
] | Current State: 79:[17, 55, 32, 85], Operations: []
Exploring Operation: 55-17=38, Resulting Numbers: [32, 85, 38]
Generated Node #2: [32, 85, 38] from Operation: 55-17=38
Current State: 79:[32, 85, 38], Operations: ['55-17=38']
Exploring Operation: 32+85=117, Resulting Numbers: [38, 117]
Generated Node #3: [38, 117] from Operation: 32+85=117
Current State: 79:[38, 117], Operations: ['55-17=38', '32+85=117']
Exploring Operation: 117-38=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[17, 55, 32, 85], Operations: []
Exploring Operation: 17+55=72, Resulting Numbers: [32, 85, 72]
Generated Node #0,0: 79:[32, 85, 72] Operation: 17+55=72
Exploring Operation: 17+32=49, Resulting Numbers: [55, 85, 49]
Generated Node #0,1: 79:[55, 85, 49] Operation: 17+32=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[32, 85, 72], Operations: ['17+55=72']
Exploring Operation: 85-32=53, Resulting Numbers: [72, 53]
Generated Node #0,0,0: 79:[72, 53] Operation: 85-32=53
Exploring Operation: 32+72=104, Resulting Numbers: [85, 104]
Generated Node #0,0,1: 79:[85, 104] Operation: 32+72=104
Moving to Node #0,0,1
Current State: 79:[85, 104], Operations: ['17+55=72', '32+72=104']
Exploring Operation: 85+104=189, Resulting Numbers: [189]
189,79 unequal: No Solution
Exploring Operation: 104-85=19, Resulting Numbers: [19]
19,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[72, 53], Operations: ['17+55=72', '85-32=53']
Exploring Operation: 72+53=125, Resulting Numbers: [125]
125,79 unequal: No Solution
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[55, 85, 49], Operations: ['17+32=49']
Exploring Operation: 85-49=36, Resulting Numbers: [55, 36]
Generated Node #0,1,0: 79:[55, 36] Operation: 85-49=36
Exploring Operation: 55+49=104, Resulting Numbers: [85, 104]
Generated Node #0,1,1: 79:[85, 104] Operation: 55+49=104
Moving to Node #0,1,1
Current State: 79:[85, 104], Operations: ['17+32=49', '55+49=104']
Exploring Operation: 104-85=19, Resulting Numbers: [19]
19,79 unequal: No Solution
Exploring Operation: 85+104=189, Resulting Numbers: [189]
189,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[55, 36], Operations: ['17+32=49', '85-49=36']
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,79 unequal: No Solution
Exploring Operation: 55+36=91, Resulting Numbers: [91]
91,79 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 |
[
55,
8,
55,
71
] | 73 | [
"71-55=16",
"8*16=128",
"128-55=73"
] | Current State: 73:[55, 8, 55, 71], Operations: []
Exploring Operation: 71-55=16, Resulting Numbers: [8, 16]
Generated Node #2: [8, 16] from Operation: 71-55=16
Current State: 73:[8, 16], Operations: ['71-55=16']
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,73 equal: Goal Reached
Exploring Operation: 128-55=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[55, 8, 55, 71], Operations: []
Exploring Operation: 55+8=63, Resulting Numbers: [55, 71, 63]
Generated Node #0,0: 73:[55, 71, 63] Operation: 55+8=63
Exploring Operation: 8+55=63, Resulting Numbers: [55, 71, 63]
Generated Node #0,1: 73:[55, 71, 63] Operation: 8+55=63
Moving to Node #0,0
Current State: 73:[55, 71, 63], Operations: ['55+8=63']
Exploring Operation: 55+63=118, Resulting Numbers: [71, 118]
Generated Node #0,0,0: 73:[71, 118] Operation: 55+63=118
Exploring Operation: 55+71=126, Resulting Numbers: [63, 126]
Generated Node #0,0,1: 73:[63, 126] Operation: 55+71=126
Moving to Node #0,1
Current State: 73:[55, 71, 63], Operations: ['8+55=63']
Exploring Operation: 55+63=118, Resulting Numbers: [71, 118]
Generated Node #0,1,0: 73:[71, 118] Operation: 55+63=118
Exploring Operation: 55+71=126, Resulting Numbers: [63, 126]
Generated Node #0,1,1: 73:[63, 126] Operation: 55+71=126
Moving to Node #0,0,0
Current State: 73:[71, 118], Operations: ['55+8=63', '55+63=118']
Exploring Operation: 71+118=189, Resulting Numbers: [189]
189,73 unequal: No Solution
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[71, 118], Operations: ['8+55=63', '55+63=118']
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,73 unequal: No Solution
Exploring Operation: 71+118=189, Resulting Numbers: [189]
189,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[63, 126], Operations: ['55+8=63', '55+71=126']
Exploring Operation: 126/63=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 126-63=63, Resulting Numbers: [63]
63,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[63, 126], Operations: ['8+55=63', '55+71=126']
Exploring Operation: 126-63=63, Resulting Numbers: [63]
63,73 unequal: No Solution
Exploring Operation: 126/63=2, Resulting Numbers: [2]
2,73 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
15,
38,
79,
14
] | 12 | [
"15+38=53",
"79-14=65",
"65-53=12"
] | Current State: 12:[15, 38, 79, 14], Operations: []
Exploring Operation: 15+38=53, Resulting Numbers: [79, 14, 53]
Generated Node #2: [79, 14, 53] from Operation: 15+38=53
Current State: 12:[79, 14, 53], Operations: ['15+38=53']
Exploring Operation: 79-14=65, Resulting Numbers: [53, 65]
Generated Node #3: [53, 65] from Operation: 79-14=65
Current State: 12:[53, 65], Operations: ['15+38=53', '79-14=65']
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[15, 38, 79, 14], Operations: []
Exploring Operation: 38-14=24, Resulting Numbers: [15, 79, 24]
Generated Node #0,0: 12:[15, 79, 24] Operation: 38-14=24
Exploring Operation: 79-14=65, Resulting Numbers: [15, 38, 65]
Generated Node #0,1: 12:[15, 38, 65] Operation: 79-14=65
Exploring Operation: 38-15=23, Resulting Numbers: [79, 14, 23]
Generated Node #0,2: 12:[79, 14, 23] Operation: 38-15=23
Exploring Operation: 79-38=41, Resulting Numbers: [15, 14, 41]
Generated Node #0,3: 12:[15, 14, 41] Operation: 79-38=41
Exploring Operation: 79-15=64, Resulting Numbers: [38, 14, 64]
Generated Node #0,4: 12:[38, 14, 64] Operation: 79-15=64
Moving to Node #0,3
Current State: 12:[15, 14, 41], Operations: ['79-38=41']
Exploring Operation: 15-14=1, Resulting Numbers: [41, 1]
Generated Node #0,3,0: 12:[41, 1] Operation: 15-14=1
Exploring Operation: 41-14=27, Resulting Numbers: [15, 27]
Generated Node #0,3,1: 12:[15, 27] Operation: 41-14=27
Exploring Operation: 15+41=56, Resulting Numbers: [14, 56]
Generated Node #0,3,2: 12:[14, 56] Operation: 15+41=56
Exploring Operation: 15+14=29, Resulting Numbers: [41, 29]
Generated Node #0,3,3: 12:[41, 29] Operation: 15+14=29
Exploring Operation: 41-15=26, Resulting Numbers: [14, 26]
Generated Node #0,3,4: 12:[14, 26] Operation: 41-15=26
Moving to Node #0,4
Current State: 12:[38, 14, 64], Operations: ['79-15=64']
Exploring Operation: 38+64=102, Resulting Numbers: [14, 102]
Generated Node #0,4,0: 12:[14, 102] Operation: 38+64=102
Exploring Operation: 38-14=24, Resulting Numbers: [64, 24]
Generated Node #0,4,1: 12:[64, 24] Operation: 38-14=24
Exploring Operation: 38+14=52, Resulting Numbers: [64, 52]
Generated Node #0,4,2: 12:[64, 52] Operation: 38+14=52
Exploring Operation: 64-14=50, Resulting Numbers: [38, 50]
Generated Node #0,4,3: 12:[38, 50] Operation: 64-14=50
Exploring Operation: 64-38=26, Resulting Numbers: [14, 26]
Generated Node #0,4,4: 12:[14, 26] Operation: 64-38=26
Moving to Node #0,2
Current State: 12:[79, 14, 23], Operations: ['38-15=23']
Exploring Operation: 79-23=56, Resulting Numbers: [14, 56]
Generated Node #0,2,0: 12:[14, 56] Operation: 79-23=56
Exploring Operation: 23-14=9, Resulting Numbers: [79, 9]
Generated Node #0,2,1: 12:[79, 9] Operation: 23-14=9
Exploring Operation: 79-14=65, Resulting Numbers: [23, 65]
Generated Node #0,2,2: 12:[23, 65] Operation: 79-14=65
Exploring Operation: 79+23=102, Resulting Numbers: [14, 102]
Generated Node #0,2,3: 12:[14, 102] Operation: 79+23=102
Exploring Operation: 79+14=93, Resulting Numbers: [23, 93]
Generated Node #0,2,4: 12:[23, 93] Operation: 79+14=93
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[14, 56], Operations: ['38-15=23', '79-23=56']
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 14+56=70, Resulting Numbers: [70]
70,12 unequal: No Solution
Exploring Operation: 14*56=784, Resulting Numbers: [784]
784,12 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:[23, 65], Operations: ['38-15=23', '79-14=65']
Exploring Operation: 23+65=88, Resulting Numbers: [88]
88,12 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 23*65=1495, Resulting Numbers: [1495]
1495,12 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:[79, 9], Operations: ['38-15=23', '23-14=9']
Exploring Operation: 79*9=711, Resulting Numbers: [711]
711,12 unequal: No Solution
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,12 unequal: No Solution
Exploring Operation: 79+9=88, Resulting Numbers: [88]
88,12 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:[14, 102], Operations: ['38-15=23', '79+23=102']
Exploring Operation: 102-14=88, Resulting Numbers: [88]
88,12 unequal: No Solution
Exploring Operation: 14+102=116, Resulting Numbers: [116]
116,12 unequal: No Solution
Exploring Operation: 14*102=1428, Resulting Numbers: [1428]
1428,12 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 #0,2,4
Current State: 12:[23, 93], Operations: ['38-15=23', '79+14=93']
Exploring Operation: 23+93=116, Resulting Numbers: [116]
116,12 unequal: No Solution
Exploring Operation: 23*93=2139, Resulting Numbers: [2139]
2139,12 unequal: No Solution
Exploring Operation: 93-23=70, Resulting Numbers: [70]
70,12 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:[15, 79, 24], Operations: ['38-14=24']
Exploring Operation: 79-24=55, Resulting Numbers: [15, 55]
Generated Node #0,0,0: 12:[15, 55] Operation: 79-24=55
Exploring Operation: 15+24=39, Resulting Numbers: [79, 39]
Generated Node #0,0,1: 12:[79, 39] Operation: 15+24=39
Exploring Operation: 79-15=64, Resulting Numbers: [24, 64]
Generated Node #0,0,2: 12:[24, 64] Operation: 79-15=64
Exploring Operation: 15+79=94, Resulting Numbers: [24, 94]
Generated Node #0,0,3: 12:[24, 94] Operation: 15+79=94
Exploring Operation: 24-15=9, Resulting Numbers: [79, 9]
Generated Node #0,0,4: 12:[79, 9] Operation: 24-15=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[15, 55], Operations: ['38-14=24', '79-24=55']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,12 unequal: No Solution
Exploring Operation: 15*55=825, Resulting Numbers: [825]
825,12 unequal: No Solution
Exploring Operation: 15+55=70, Resulting Numbers: [70]
70,12 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 #0,0,2
Current State: 12:[24, 64], Operations: ['38-14=24', '79-15=64']
Exploring Operation: 24+64=88, Resulting Numbers: [88]
88,12 unequal: No Solution
Exploring Operation: 24*64=1536, Resulting Numbers: [1536]
1536,12 unequal: No Solution
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,12 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 #0,0,4
Current State: 12:[79, 9], Operations: ['38-14=24', '24-15=9']
Exploring Operation: 79+9=88, Resulting Numbers: [88]
88,12 unequal: No Solution
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,12 unequal: No Solution
Exploring Operation: 79*9=711, Resulting Numbers: [711]
711,12 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 #0,0,1
Current State: 12:[79, 39], Operations: ['38-14=24', '15+24=39']
Exploring Operation: 79+39=118, Resulting Numbers: [118]
118,12 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,12 unequal: No Solution
Exploring Operation: 79*39=3081, Resulting Numbers: [3081]
3081,12 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 #0,0,3
Current State: 12:[24, 94], Operations: ['38-14=24', '15+79=94']
Exploring Operation: 24*94=2256, Resulting Numbers: [2256]
2256,12 unequal: No Solution
Exploring Operation: 24+94=118, Resulting Numbers: [118]
118,12 unequal: No Solution
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,12 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:[15, 38, 65], Operations: ['79-14=65']
Exploring Operation: 65-15=50, Resulting Numbers: [38, 50]
Generated Node #0,1,0: 12:[38, 50] Operation: 65-15=50
Exploring Operation: 15+65=80, Resulting Numbers: [38, 80]
Generated Node #0,1,1: 12:[38, 80] Operation: 15+65=80
Exploring Operation: 38-15=23, Resulting Numbers: [65, 23]
Generated Node #0,1,2: 12:[65, 23] Operation: 38-15=23
Exploring Operation: 15+38=53, Resulting Numbers: [65, 53]
Generated Node #0,1,3: 12:[65, 53] Operation: 15+38=53
Exploring Operation: 65-38=27, Resulting Numbers: [15, 27]
Generated Node #0,1,4: 12:[15, 27] Operation: 65-38=27
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 12:[15, 27], Operations: ['79-14=65', '65-38=27']
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[15, 38, 79, 14], Operations: []
Exploring Operation: 79-14=65, Resulting Numbers: [15, 38, 65]
Generated Node #0,1: 12:[15, 38, 65] Operation: 79-14=65
Moving to Node #0,1
Current State: 12:[15, 38, 65], Operations: ['79-14=65']
Exploring Operation: 65-38=27, Resulting Numbers: [15, 27]
Generated Node #0,1,4: 12:[15, 27] Operation: 65-38=27
Moving to Node #0,1,4
Current State: 12:[15, 27], Operations: ['79-14=65', '65-38=27']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | mult_heuristic |
[
3,
69,
43,
27
] | 51 | [
"69-43=26",
"3*26=78",
"78-27=51"
] | Current State: 51:[3, 69, 43, 27], Operations: []
Exploring Operation: 69-43=26, Resulting Numbers: [3, 27, 26]
Generated Node #2: [3, 27, 26] from Operation: 69-43=26
Current State: 51:[3, 27, 26], Operations: ['69-43=26']
Exploring Operation: 3*26=78, Resulting Numbers: [27, 78]
Generated Node #3: [27, 78] from Operation: 3*26=78
Current State: 51:[27, 78], Operations: ['69-43=26', '3*26=78']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[3, 69, 43, 27], Operations: []
Exploring Operation: 69-27=42, Resulting Numbers: [3, 43, 42]
Generated Node #0,0: 51:[3, 43, 42] Operation: 69-27=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[3, 43, 42], Operations: ['69-27=42']
Exploring Operation: 43-42=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0: 51:[3, 1] Operation: 43-42=1
Moving to Node #0,0,0
Current State: 51:[3, 1], Operations: ['69-27=42', '43-42=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,51 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 |
[
62,
19,
41,
64
] | 30 | [
"64-62=2",
"19+41=60",
"60/2=30"
] | Current State: 30:[62, 19, 41, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [19, 41, 2]
Generated Node #2: [19, 41, 2] from Operation: 64-62=2
Current State: 30:[19, 41, 2], Operations: ['64-62=2']
Exploring Operation: 19+41=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 19+41=60
Current State: 30:[2, 60], Operations: ['64-62=2', '19+41=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[62, 19, 41, 64], Operations: []
Exploring Operation: 64-41=23, Resulting Numbers: [62, 19, 23]
Generated Node #0,0: 30:[62, 19, 23] Operation: 64-41=23
Exploring Operation: 64-62=2, Resulting Numbers: [19, 41, 2]
Generated Node #0,1: 30:[19, 41, 2] Operation: 64-62=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[19, 41, 2], Operations: ['64-62=2']
Exploring Operation: 41-19=22, Resulting Numbers: [2, 22]
Generated Node #0,1,0: 30:[2, 22] Operation: 41-19=22
Exploring Operation: 19-2=17, Resulting Numbers: [41, 17]
Generated Node #0,1,1: 30:[41, 17] Operation: 19-2=17
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[2, 22], Operations: ['64-62=2', '41-19=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[41, 17], Operations: ['64-62=2', '19-2=17']
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[62, 19, 23], Operations: ['64-41=23']
Exploring Operation: 62-19=43, Resulting Numbers: [23, 43]
Generated Node #0,0,0: 30:[23, 43] Operation: 62-19=43
Exploring Operation: 62-23=39, Resulting Numbers: [19, 39]
Generated Node #0,0,1: 30:[19, 39] Operation: 62-23=39
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[19, 39], Operations: ['64-41=23', '62-23=39']
Exploring Operation: 19+39=58, Resulting Numbers: [58]
58,30 unequal: No Solution
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[23, 43], Operations: ['64-41=23', '62-19=43']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
55,
37,
38,
26
] | 80 | [
"55+37=92",
"38-26=12",
"92-12=80"
] | Current State: 80:[55, 37, 38, 26], Operations: []
Exploring Operation: 55+37=92, Resulting Numbers: [38, 26, 92]
Generated Node #2: [38, 26, 92] from Operation: 55+37=92
Current State: 80:[38, 26, 92], Operations: ['55+37=92']
Exploring Operation: 38-26=12, Resulting Numbers: [92, 12]
Generated Node #3: [92, 12] from Operation: 38-26=12
Current State: 80:[92, 12], Operations: ['55+37=92', '38-26=12']
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[55, 37, 38, 26], Operations: []
Exploring Operation: 55+26=81, Resulting Numbers: [37, 38, 81]
Generated Node #0,0: 80:[37, 38, 81] Operation: 55+26=81
Exploring Operation: 55-38=17, Resulting Numbers: [37, 26, 17]
Generated Node #0,1: 80:[37, 26, 17] Operation: 55-38=17
Exploring Operation: 55-37=18, Resulting Numbers: [38, 26, 18]
Generated Node #0,2: 80:[38, 26, 18] Operation: 55-37=18
Moving to Node #0,0
Current State: 80:[37, 38, 81], Operations: ['55+26=81']
Exploring Operation: 37+38=75, Resulting Numbers: [81, 75]
Generated Node #0,0,0: 80:[81, 75] Operation: 37+38=75
Exploring Operation: 38-37=1, Resulting Numbers: [81, 1]
Generated Node #0,0,1: 80:[81, 1] Operation: 38-37=1
Exploring Operation: 81-37=44, Resulting Numbers: [38, 44]
Generated Node #0,0,2: 80:[38, 44] Operation: 81-37=44
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[81, 1], Operations: ['55+26=81', '38-37=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[55, 37, 38, 26], Operations: []
Exploring Operation: 55+26=81, Resulting Numbers: [37, 38, 81]
Generated Node #0,0: 80:[37, 38, 81] Operation: 55+26=81
Moving to Node #0,0
Current State: 80:[37, 38, 81], Operations: ['55+26=81']
Exploring Operation: 38-37=1, Resulting Numbers: [81, 1]
Generated Node #0,0,1: 80:[81, 1] Operation: 38-37=1
Moving to Node #0,0,1
Current State: 80:[81, 1], Operations: ['55+26=81', '38-37=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
8,
16,
93,
59
] | 94 | [
"8*16=128",
"93-59=34",
"128-34=94"
] | Current State: 94:[8, 16, 93, 59], Operations: []
Exploring Operation: 8*16=128, Resulting Numbers: [93, 59, 128]
Generated Node #2: [93, 59, 128] from Operation: 8*16=128
Current State: 94:[93, 59, 128], Operations: ['8*16=128']
Exploring Operation: 93-59=34, Resulting Numbers: [128, 34]
Generated Node #3: [128, 34] from Operation: 93-59=34
Current State: 94:[128, 34], Operations: ['8*16=128', '93-59=34']
Exploring Operation: 128-34=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[8, 16, 93, 59], Operations: []
Exploring Operation: 59-16=43, Resulting Numbers: [8, 93, 43]
Generated Node #0,0: 94:[8, 93, 43] Operation: 59-16=43
Exploring Operation: 16/8=2, Resulting Numbers: [93, 59, 2]
Generated Node #0,1: 94:[93, 59, 2] Operation: 16/8=2
Moving to Node #0,0
Current State: 94:[8, 93, 43], Operations: ['59-16=43']
Exploring Operation: 8+43=51, Resulting Numbers: [93, 51]
Generated Node #0,0,0: 94:[93, 51] Operation: 8+43=51
Exploring Operation: 93-43=50, Resulting Numbers: [8, 50]
Generated Node #0,0,1: 94:[8, 50] Operation: 93-43=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[93, 51], Operations: ['59-16=43', '8+43=51']
Exploring Operation: 93-51=42, Resulting Numbers: [42]
42,94 unequal: No Solution
Exploring Operation: 93+51=144, Resulting Numbers: [144]
144,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[8, 50], Operations: ['59-16=43', '93-43=50']
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,94 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,94 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: 94:[93, 59, 2], Operations: ['16/8=2']
Exploring Operation: 93-59=34, Resulting Numbers: [2, 34]
Generated Node #0,1,0: 94:[2, 34] Operation: 93-59=34
Exploring Operation: 59-2=57, Resulting Numbers: [93, 57]
Generated Node #0,1,1: 94:[93, 57] Operation: 59-2=57
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[93, 57], Operations: ['16/8=2', '59-2=57']
Exploring Operation: 93+57=150, Resulting Numbers: [150]
150,94 unequal: No Solution
Exploring Operation: 93-57=36, Resulting Numbers: [36]
36,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[2, 34], Operations: ['16/8=2', '93-59=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,94 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 |
[
33,
4,
68,
14
] | 83 | [
"33-4=29",
"68-14=54",
"29+54=83"
] | Current State: 83:[33, 4, 68, 14], Operations: []
Exploring Operation: 33-4=29, Resulting Numbers: [68, 14, 29]
Generated Node #2: [68, 14, 29] from Operation: 33-4=29
Current State: 83:[68, 14, 29], Operations: ['33-4=29']
Exploring Operation: 68-14=54, Resulting Numbers: [29, 54]
Generated Node #3: [29, 54] from Operation: 68-14=54
Current State: 83:[29, 54], Operations: ['33-4=29', '68-14=54']
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[33, 4, 68, 14], Operations: []
Exploring Operation: 4*14=56, Resulting Numbers: [33, 68, 56]
Generated Node #0,0: 83:[33, 68, 56] Operation: 4*14=56
Exploring Operation: 33+4=37, Resulting Numbers: [68, 14, 37]
Generated Node #0,1: 83:[68, 14, 37] Operation: 33+4=37
Exploring Operation: 33+14=47, Resulting Numbers: [4, 68, 47]
Generated Node #0,2: 83:[4, 68, 47] Operation: 33+14=47
Moving to Node #0,0
Current State: 83:[33, 68, 56], Operations: ['4*14=56']
Exploring Operation: 33+56=89, Resulting Numbers: [68, 89]
Generated Node #0,0,0: 83:[68, 89] Operation: 33+56=89
Exploring Operation: 33+68=101, Resulting Numbers: [56, 101]
Generated Node #0,0,1: 83:[56, 101] Operation: 33+68=101
Exploring Operation: 68-33=35, Resulting Numbers: [56, 35]
Generated Node #0,0,2: 83:[56, 35] Operation: 68-33=35
Moving to Node #0,1
Current State: 83:[68, 14, 37], Operations: ['33+4=37']
Exploring Operation: 68-14=54, Resulting Numbers: [37, 54]
Generated Node #0,1,0: 83:[37, 54] Operation: 68-14=54
Exploring Operation: 68+14=82, Resulting Numbers: [37, 82]
Generated Node #0,1,1: 83:[37, 82] Operation: 68+14=82
Exploring Operation: 14+37=51, Resulting Numbers: [68, 51]
Generated Node #0,1,2: 83:[68, 51] Operation: 14+37=51
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[37, 82], Operations: ['33+4=37', '68+14=82']
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,83 unequal: No Solution
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[68, 51], Operations: ['33+4=37', '14+37=51']
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 68+51=119, Resulting Numbers: [119]
119,83 unequal: No Solution
Exploring Operation: 68*51=3468, Resulting Numbers: [3468]
3468,83 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:[37, 54], Operations: ['33+4=37', '68-14=54']
Exploring Operation: 37*54=1998, Resulting Numbers: [1998]
1998,83 unequal: No Solution
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 37+54=91, Resulting Numbers: [91]
91,83 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: 83:[4, 68, 47], Operations: ['33+14=47']
Exploring Operation: 4+68=72, Resulting Numbers: [47, 72]
Generated Node #0,2,0: 83:[47, 72] Operation: 4+68=72
Exploring Operation: 4+47=51, Resulting Numbers: [68, 51]
Generated Node #0,2,1: 83:[68, 51] Operation: 4+47=51
Exploring Operation: 68-4=64, Resulting Numbers: [47, 64]
Generated Node #0,2,2: 83:[47, 64] Operation: 68-4=64
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[47, 72], Operations: ['33+14=47', '4+68=72']
Exploring Operation: 47*72=3384, Resulting Numbers: [3384]
3384,83 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 47+72=119, Resulting Numbers: [119]
119,83 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:[68, 51], Operations: ['33+14=47', '4+47=51']
Exploring Operation: 68+51=119, Resulting Numbers: [119]
119,83 unequal: No Solution
Exploring Operation: 68*51=3468, Resulting Numbers: [3468]
3468,83 unequal: No Solution
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[47, 64], Operations: ['33+14=47', '68-4=64']
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 47*64=3008, Resulting Numbers: [3008]
3008,83 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: 83:[68, 89], Operations: ['4*14=56', '33+56=89']
Exploring Operation: 68+89=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 68*89=6052, Resulting Numbers: [6052]
6052,83 unequal: No Solution
Exploring Operation: 89-68=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[56, 101], Operations: ['4*14=56', '33+68=101']
Exploring Operation: 101-56=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 56*101=5656, Resulting Numbers: [5656]
5656,83 unequal: No Solution
Exploring Operation: 56+101=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[56, 35], Operations: ['4*14=56', '68-33=35']
Exploring Operation: 56-35=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 56+35=91, Resulting Numbers: [91]
91,83 unequal: No Solution
Exploring Operation: 56*35=1960, Resulting Numbers: [1960]
1960,83 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
55,
27,
4,
61
] | 25 | [
"55+27=82",
"61-4=57",
"82-57=25"
] | Current State: 25:[55, 27, 4, 61], Operations: []
Exploring Operation: 55+27=82, Resulting Numbers: [4, 61, 82]
Generated Node #2: [4, 61, 82] from Operation: 55+27=82
Current State: 25:[4, 61, 82], Operations: ['55+27=82']
Exploring Operation: 61-4=57, Resulting Numbers: [82, 57]
Generated Node #3: [82, 57] from Operation: 61-4=57
Current State: 25:[82, 57], Operations: ['55+27=82', '61-4=57']
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[55, 27, 4, 61], Operations: []
Exploring Operation: 55-27=28, Resulting Numbers: [4, 61, 28]
Generated Node #0,0: 25:[4, 61, 28] Operation: 55-27=28
Exploring Operation: 55-4=51, Resulting Numbers: [27, 61, 51]
Generated Node #0,1: 25:[27, 61, 51] Operation: 55-4=51
Exploring Operation: 61-27=34, Resulting Numbers: [55, 4, 34]
Generated Node #0,2: 25:[55, 4, 34] Operation: 61-27=34
Exploring Operation: 61-55=6, Resulting Numbers: [27, 4, 6]
Generated Node #0,3: 25:[27, 4, 6] Operation: 61-55=6
Moving to Node #0,3
Current State: 25:[27, 4, 6], Operations: ['61-55=6']
Exploring Operation: 27-4=23, Resulting Numbers: [6, 23]
Generated Node #0,3,0: 25:[6, 23] Operation: 27-4=23
Exploring Operation: 6-4=2, Resulting Numbers: [27, 2]
Generated Node #0,3,1: 25:[27, 2] Operation: 6-4=2
Exploring Operation: 4*6=24, Resulting Numbers: [27, 24]
Generated Node #0,3,2: 25:[27, 24] Operation: 4*6=24
Exploring Operation: 27-6=21, Resulting Numbers: [4, 21]
Generated Node #0,3,3: 25:[4, 21] Operation: 27-6=21
Moving to Node #0,2
Current State: 25:[55, 4, 34], Operations: ['61-27=34']
Exploring Operation: 55-4=51, Resulting Numbers: [34, 51]
Generated Node #0,2,0: 25:[34, 51] Operation: 55-4=51
Exploring Operation: 55+4=59, Resulting Numbers: [34, 59]
Generated Node #0,2,1: 25:[34, 59] Operation: 55+4=59
Exploring Operation: 55-34=21, Resulting Numbers: [4, 21]
Generated Node #0,2,2: 25:[4, 21] Operation: 55-34=21
Exploring Operation: 34-4=30, Resulting Numbers: [55, 30]
Generated Node #0,2,3: 25:[55, 30] Operation: 34-4=30
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[4, 21], Operations: ['61-27=34', '55-34=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[55, 27, 4, 61], Operations: []
Exploring Operation: 61-27=34, Resulting Numbers: [55, 4, 34]
Generated Node #0,2: 25:[55, 4, 34] Operation: 61-27=34
Moving to Node #0,2
Current State: 25:[55, 4, 34], Operations: ['61-27=34']
Exploring Operation: 55-34=21, Resulting Numbers: [4, 21]
Generated Node #0,2,2: 25:[4, 21] Operation: 55-34=21
Moving to Node #0,2,2
Current State: 25:[4, 21], Operations: ['61-27=34', '55-34=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
62,
30,
88,
20
] | 24 | [
"62+30=92",
"88-20=68",
"92-68=24"
] | Current State: 24:[62, 30, 88, 20], Operations: []
Exploring Operation: 62+30=92, Resulting Numbers: [88, 20, 92]
Generated Node #2: [88, 20, 92] from Operation: 62+30=92
Current State: 24:[88, 20, 92], Operations: ['62+30=92']
Exploring Operation: 88-20=68, Resulting Numbers: [92, 68]
Generated Node #3: [92, 68] from Operation: 88-20=68
Current State: 24:[92, 68], Operations: ['62+30=92', '88-20=68']
Exploring Operation: 92-68=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[62, 30, 88, 20], Operations: []
Exploring Operation: 88-30=58, Resulting Numbers: [62, 20, 58]
Generated Node #0,0: 24:[62, 20, 58] Operation: 88-30=58
Exploring Operation: 62-30=32, Resulting Numbers: [88, 20, 32]
Generated Node #0,1: 24:[88, 20, 32] Operation: 62-30=32
Exploring Operation: 62-20=42, Resulting Numbers: [30, 88, 42]
Generated Node #0,2: 24:[30, 88, 42] Operation: 62-20=42
Exploring Operation: 88-62=26, Resulting Numbers: [30, 20, 26]
Generated Node #0,3: 24:[30, 20, 26] Operation: 88-62=26
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[30, 20, 26], Operations: ['88-62=26']
Exploring Operation: 30-26=4, Resulting Numbers: [20, 4]
Generated Node #0,3,0: 24:[20, 4] Operation: 30-26=4
Exploring Operation: 30+20=50, Resulting Numbers: [26, 50]
Generated Node #0,3,1: 24:[26, 50] Operation: 30+20=50
Exploring Operation: 26-20=6, Resulting Numbers: [30, 6]
Generated Node #0,3,2: 24:[30, 6] Operation: 26-20=6
Exploring Operation: 30-20=10, Resulting Numbers: [26, 10]
Generated Node #0,3,3: 24:[26, 10] Operation: 30-20=10
Moving to Node #0,3,0
Current State: 24:[20, 4], Operations: ['88-62=26', '30-26=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[62, 30, 88, 20], Operations: []
Exploring Operation: 88-62=26, Resulting Numbers: [30, 20, 26]
Generated Node #0,3: 24:[30, 20, 26] Operation: 88-62=26
Moving to Node #0,3
Current State: 24:[30, 20, 26], Operations: ['88-62=26']
Exploring Operation: 30-26=4, Resulting Numbers: [20, 4]
Generated Node #0,3,0: 24:[20, 4] Operation: 30-26=4
Moving to Node #0,3,0
Current State: 24:[20, 4], Operations: ['88-62=26', '30-26=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
63,
37,
61,
44
] | 59 | [
"63-61=2",
"44/2=22",
"37+22=59"
] | Current State: 59:[63, 37, 61, 44], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [37, 44, 2]
Generated Node #2: [37, 44, 2] from Operation: 63-61=2
Current State: 59:[37, 44, 2], Operations: ['63-61=2']
Exploring Operation: 44/2=22, Resulting Numbers: [37, 22]
Generated Node #3: [37, 22] from Operation: 44/2=22
Current State: 59:[37, 22], Operations: ['63-61=2', '44/2=22']
Exploring Operation: 37+22=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[63, 37, 61, 44], Operations: []
Exploring Operation: 63+37=100, Resulting Numbers: [61, 44, 100]
Generated Node #0,0: 59:[61, 44, 100] Operation: 63+37=100
Exploring Operation: 61-37=24, Resulting Numbers: [63, 44, 24]
Generated Node #0,1: 59:[63, 44, 24] Operation: 61-37=24
Exploring Operation: 63-37=26, Resulting Numbers: [61, 44, 26]
Generated Node #0,2: 59:[61, 44, 26] Operation: 63-37=26
Exploring Operation: 37+44=81, Resulting Numbers: [63, 61, 81]
Generated Node #0,3: 59:[63, 61, 81] Operation: 37+44=81
Moving to Node #0,3
Current State: 59:[63, 61, 81], Operations: ['37+44=81']
Exploring Operation: 81-63=18, Resulting Numbers: [61, 18]
Generated Node #0,3,0: 59:[61, 18] Operation: 81-63=18
Exploring Operation: 63+61=124, Resulting Numbers: [81, 124]
Generated Node #0,3,1: 59:[81, 124] Operation: 63+61=124
Exploring Operation: 63-61=2, Resulting Numbers: [81, 2]
Generated Node #0,3,2: 59:[81, 2] Operation: 63-61=2
Exploring Operation: 81-61=20, Resulting Numbers: [63, 20]
Generated Node #0,3,3: 59:[63, 20] Operation: 81-61=20
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[61, 18], Operations: ['37+44=81', '81-63=18']
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 61*18=1098, Resulting Numbers: [1098]
1098,59 unequal: No Solution
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 59:[63, 20], Operations: ['37+44=81', '81-61=20']
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,59 unequal: No Solution
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[81, 2], Operations: ['37+44=81', '63-61=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,59 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 81*2=162, Resulting Numbers: [162]
162,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 59:[81, 124], Operations: ['37+44=81', '63+61=124']
Exploring Operation: 81*124=10044, Resulting Numbers: [10044]
10044,59 unequal: No Solution
Exploring Operation: 81+124=205, Resulting Numbers: [205]
205,59 unequal: No Solution
Exploring Operation: 124-81=43, Resulting Numbers: [43]
43,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 59:[61, 44, 26], Operations: ['63-37=26']
Exploring Operation: 44-26=18, Resulting Numbers: [61, 18]
Generated Node #0,2,0: 59:[61, 18] Operation: 44-26=18
Exploring Operation: 61+26=87, Resulting Numbers: [44, 87]
Generated Node #0,2,1: 59:[44, 87] Operation: 61+26=87
Exploring Operation: 61-26=35, Resulting Numbers: [44, 35]
Generated Node #0,2,2: 59:[44, 35] Operation: 61-26=35
Exploring Operation: 44+26=70, Resulting Numbers: [61, 70]
Generated Node #0,2,3: 59:[61, 70] Operation: 44+26=70
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[61, 70], Operations: ['63-37=26', '44+26=70']
Exploring Operation: 61*70=4270, Resulting Numbers: [4270]
4270,59 unequal: No Solution
Exploring Operation: 61+70=131, Resulting Numbers: [131]
131,59 unequal: No Solution
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[44, 35], Operations: ['63-37=26', '61-26=35']
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,59 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[61, 18], Operations: ['63-37=26', '44-26=18']
Exploring Operation: 61*18=1098, Resulting Numbers: [1098]
1098,59 unequal: No Solution
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[44, 87], Operations: ['63-37=26', '61+26=87']
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Exploring Operation: 44+87=131, Resulting Numbers: [131]
131,59 unequal: No Solution
Exploring Operation: 44*87=3828, Resulting Numbers: [3828]
3828,59 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: 59:[63, 44, 24], Operations: ['61-37=24']
Exploring Operation: 44-24=20, Resulting Numbers: [63, 20]
Generated Node #0,1,0: 59:[63, 20] Operation: 44-24=20
Exploring Operation: 44+24=68, Resulting Numbers: [63, 68]
Generated Node #0,1,1: 59:[63, 68] Operation: 44+24=68
Exploring Operation: 63-24=39, Resulting Numbers: [44, 39]
Generated Node #0,1,2: 59:[44, 39] Operation: 63-24=39
Exploring Operation: 63+24=87, Resulting Numbers: [44, 87]
Generated Node #0,1,3: 59:[44, 87] Operation: 63+24=87
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[63, 68], Operations: ['61-37=24', '44+24=68']
Exploring Operation: 63+68=131, Resulting Numbers: [131]
131,59 unequal: No Solution
Exploring Operation: 68-63=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 63*68=4284, Resulting Numbers: [4284]
4284,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[44, 39], Operations: ['61-37=24', '63-24=39']
Exploring Operation: 44+39=83, Resulting Numbers: [83]
83,59 unequal: No Solution
Exploring Operation: 44*39=1716, Resulting Numbers: [1716]
1716,59 unequal: No Solution
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[63, 20], Operations: ['61-37=24', '44-24=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,59 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[44, 87], Operations: ['61-37=24', '63+24=87']
Exploring Operation: 44+87=131, Resulting Numbers: [131]
131,59 unequal: No Solution
Exploring Operation: 44*87=3828, Resulting Numbers: [3828]
3828,59 unequal: No Solution
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,59 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: 59:[61, 44, 100], Operations: ['63+37=100']
Exploring Operation: 61+44=105, Resulting Numbers: [100, 105]
Generated Node #0,0,0: 59:[100, 105] Operation: 61+44=105
Exploring Operation: 61-44=17, Resulting Numbers: [100, 17]
Generated Node #0,0,1: 59:[100, 17] Operation: 61-44=17
Exploring Operation: 100-61=39, Resulting Numbers: [44, 39]
Generated Node #0,0,2: 59:[44, 39] Operation: 100-61=39
Exploring Operation: 100-44=56, Resulting Numbers: [61, 56]
Generated Node #0,0,3: 59:[61, 56] Operation: 100-44=56
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[61, 56], Operations: ['63+37=100', '100-44=56']
Exploring Operation: 61+56=117, Resulting Numbers: [117]
117,59 unequal: No Solution
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 61*56=3416, Resulting Numbers: [3416]
3416,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[44, 39], Operations: ['63+37=100', '100-61=39']
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 44*39=1716, Resulting Numbers: [1716]
1716,59 unequal: No Solution
Exploring Operation: 44+39=83, Resulting Numbers: [83]
83,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[100, 17], Operations: ['63+37=100', '61-44=17']
Exploring Operation: 100*17=1700, Resulting Numbers: [1700]
1700,59 unequal: No Solution
Exploring Operation: 100+17=117, Resulting Numbers: [117]
117,59 unequal: No Solution
Exploring Operation: 100-17=83, Resulting Numbers: [83]
83,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[100, 105], Operations: ['63+37=100', '61+44=105']
Exploring Operation: 100+105=205, Resulting Numbers: [205]
205,59 unequal: No Solution
Exploring Operation: 105-100=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 100*105=10500, Resulting Numbers: [10500]
10500,59 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 |
[
57,
54,
10,
23
] | 39 | [
"57-54=3",
"23-10=13",
"3*13=39"
] | Current State: 39:[57, 54, 10, 23], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [10, 23, 3]
Generated Node #2: [10, 23, 3] from Operation: 57-54=3
Current State: 39:[10, 23, 3], Operations: ['57-54=3']
Exploring Operation: 23-10=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 23-10=13
Current State: 39:[3, 13], Operations: ['57-54=3', '23-10=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[57, 54, 10, 23], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [10, 23, 3]
Generated Node #0,0: 39:[10, 23, 3] Operation: 57-54=3
Exploring Operation: 54-23=31, Resulting Numbers: [57, 10, 31]
Generated Node #0,1: 39:[57, 10, 31] Operation: 54-23=31
Exploring Operation: 57-23=34, Resulting Numbers: [54, 10, 34]
Generated Node #0,2: 39:[54, 10, 34] Operation: 57-23=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[10, 23, 3], Operations: ['57-54=3']
Exploring Operation: 10+23=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 39:[3, 33] Operation: 10+23=33
Exploring Operation: 10+3=13, Resulting Numbers: [23, 13]
Generated Node #0,0,1: 39:[23, 13] Operation: 10+3=13
Exploring Operation: 23-10=13, Resulting Numbers: [3, 13]
Generated Node #0,0,2: 39:[3, 13] Operation: 23-10=13
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[3, 13], Operations: ['57-54=3', '23-10=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[57, 54, 10, 23], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [10, 23, 3]
Generated Node #0,0: 39:[10, 23, 3] Operation: 57-54=3
Moving to Node #0,0
Current State: 39:[10, 23, 3], Operations: ['57-54=3']
Exploring Operation: 23-10=13, Resulting Numbers: [3, 13]
Generated Node #0,0,2: 39:[3, 13] Operation: 23-10=13
Moving to Node #0,0,2
Current State: 39:[3, 13], Operations: ['57-54=3', '23-10=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
51,
67,
44,
7
] | 21 | [
"67-51=16",
"44-7=37",
"37-16=21"
] | Current State: 21:[51, 67, 44, 7], Operations: []
Exploring Operation: 67-51=16, Resulting Numbers: [44, 7, 16]
Generated Node #2: [44, 7, 16] from Operation: 67-51=16
Current State: 21:[44, 7, 16], Operations: ['67-51=16']
Exploring Operation: 44-7=37, Resulting Numbers: [16, 37]
Generated Node #3: [16, 37] from Operation: 44-7=37
Current State: 21:[16, 37], Operations: ['67-51=16', '44-7=37']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[51, 67, 44, 7], Operations: []
Exploring Operation: 51-7=44, Resulting Numbers: [67, 44, 44]
Generated Node #0,0: 21:[67, 44, 44] Operation: 51-7=44
Exploring Operation: 51-44=7, Resulting Numbers: [67, 7, 7]
Generated Node #0,1: 21:[67, 7, 7] Operation: 51-44=7
Exploring Operation: 67-51=16, Resulting Numbers: [44, 7, 16]
Generated Node #0,2: 21:[44, 7, 16] Operation: 67-51=16
Exploring Operation: 67-44=23, Resulting Numbers: [51, 7, 23]
Generated Node #0,3: 21:[51, 7, 23] Operation: 67-44=23
Moving to Node #0,2
Current State: 21:[44, 7, 16], Operations: ['67-51=16']
Exploring Operation: 7+16=23, Resulting Numbers: [44, 23]
Generated Node #0,2,0: 21:[44, 23] Operation: 7+16=23
Exploring Operation: 44-16=28, Resulting Numbers: [7, 28]
Generated Node #0,2,1: 21:[7, 28] Operation: 44-16=28
Exploring Operation: 44-7=37, Resulting Numbers: [16, 37]
Generated Node #0,2,2: 21:[16, 37] Operation: 44-7=37
Exploring Operation: 16-7=9, Resulting Numbers: [44, 9]
Generated Node #0,2,3: 21:[44, 9] Operation: 16-7=9
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[7, 28], Operations: ['67-51=16', '44-16=28']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[51, 67, 44, 7], Operations: []
Exploring Operation: 67-51=16, Resulting Numbers: [44, 7, 16]
Generated Node #0,2: 21:[44, 7, 16] Operation: 67-51=16
Moving to Node #0,2
Current State: 21:[44, 7, 16], Operations: ['67-51=16']
Exploring Operation: 44-16=28, Resulting Numbers: [7, 28]
Generated Node #0,2,1: 21:[7, 28] Operation: 44-16=28
Moving to Node #0,2,1
Current State: 21:[7, 28], Operations: ['67-51=16', '44-16=28']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
35,
39,
24,
47
] | 53 | [
"39-35=4",
"24/4=6",
"47+6=53"
] | Current State: 53:[35, 39, 24, 47], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [24, 47, 4]
Generated Node #2: [24, 47, 4] from Operation: 39-35=4
Current State: 53:[24, 47, 4], Operations: ['39-35=4']
Exploring Operation: 24/4=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 24/4=6
Current State: 53:[47, 6], Operations: ['39-35=4', '24/4=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[35, 39, 24, 47], Operations: []
Exploring Operation: 39+24=63, Resulting Numbers: [35, 47, 63]
Generated Node #0,0: 53:[35, 47, 63] Operation: 39+24=63
Exploring Operation: 35+24=59, Resulting Numbers: [39, 47, 59]
Generated Node #0,1: 53:[39, 47, 59] Operation: 35+24=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[39, 47, 59], Operations: ['35+24=59']
Exploring Operation: 59-39=20, Resulting Numbers: [47, 20]
Generated Node #0,1,0: 53:[47, 20] Operation: 59-39=20
Exploring Operation: 39+47=86, Resulting Numbers: [59, 86]
Generated Node #0,1,1: 53:[59, 86] Operation: 39+47=86
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[47, 20], Operations: ['35+24=59', '59-39=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,53 unequal: No Solution
No 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: 53:[59, 86], Operations: ['35+24=59', '39+47=86']
Exploring Operation: 59+86=145, Resulting Numbers: [145]
145,53 unequal: No Solution
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,53 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: 53:[35, 47, 63], Operations: ['39+24=63']
Exploring Operation: 35+47=82, Resulting Numbers: [63, 82]
Generated Node #0,0,0: 53:[63, 82] Operation: 35+47=82
Exploring Operation: 63-35=28, Resulting Numbers: [47, 28]
Generated Node #0,0,1: 53:[47, 28] Operation: 63-35=28
Moving to Node #0,0,1
Current State: 53:[47, 28], Operations: ['39+24=63', '63-35=28']
Exploring Operation: 47+28=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[63, 82], Operations: ['39+24=63', '35+47=82']
Exploring Operation: 82-63=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 63+82=145, Resulting Numbers: [145]
145,53 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 |
[
4,
94,
88,
17
] | 98 | [
"94-88=6",
"17*6=102",
"102-4=98"
] | Current State: 98:[4, 94, 88, 17], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [4, 17, 6]
Generated Node #2: [4, 17, 6] from Operation: 94-88=6
Current State: 98:[4, 17, 6], Operations: ['94-88=6']
Exploring Operation: 17*6=102, Resulting Numbers: [4, 102]
Generated Node #3: [4, 102] from Operation: 17*6=102
Current State: 98:[4, 102], Operations: ['94-88=6', '17*6=102']
Exploring Operation: 102-4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[4, 94, 88, 17], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [4, 17, 6]
Generated Node #0,0: 98:[4, 17, 6] Operation: 94-88=6
Moving to Node #0,0
Current State: 98:[4, 17, 6], Operations: ['94-88=6']
Exploring Operation: 17-4=13, Resulting Numbers: [6, 13]
Generated Node #0,0,0: 98:[6, 13] Operation: 17-4=13
Moving to Node #0,0,0
Current State: 98:[6, 13], Operations: ['94-88=6', '17-4=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,98 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
58,
27,
10,
57
] | 78 | [
"58-27=31",
"57-10=47",
"31+47=78"
] | Current State: 78:[58, 27, 10, 57], Operations: []
Exploring Operation: 58-27=31, Resulting Numbers: [10, 57, 31]
Generated Node #2: [10, 57, 31] from Operation: 58-27=31
Current State: 78:[10, 57, 31], Operations: ['58-27=31']
Exploring Operation: 57-10=47, Resulting Numbers: [31, 47]
Generated Node #3: [31, 47] from Operation: 57-10=47
Current State: 78:[31, 47], Operations: ['58-27=31', '57-10=47']
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[58, 27, 10, 57], Operations: []
Exploring Operation: 58+27=85, Resulting Numbers: [10, 57, 85]
Generated Node #0,0: 78:[10, 57, 85] Operation: 58+27=85
Exploring Operation: 58-57=1, Resulting Numbers: [27, 10, 1]
Generated Node #0,1: 78:[27, 10, 1] Operation: 58-57=1
Exploring Operation: 58-27=31, Resulting Numbers: [10, 57, 31]
Generated Node #0,2: 78:[10, 57, 31] Operation: 58-27=31
Exploring Operation: 57-27=30, Resulting Numbers: [58, 10, 30]
Generated Node #0,3: 78:[58, 10, 30] Operation: 57-27=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[27, 10, 1], Operations: ['58-57=1']
Exploring Operation: 10+1=11, Resulting Numbers: [27, 11]
Generated Node #0,1,0: 78:[27, 11] Operation: 10+1=11
Exploring Operation: 27*1=27, Resulting Numbers: [10, 27]
Generated Node #0,1,1: 78:[10, 27] Operation: 27*1=27
Exploring Operation: 27+10=37, Resulting Numbers: [1, 37]
Generated Node #0,1,2: 78:[1, 37] Operation: 27+10=37
Exploring Operation: 27-1=26, Resulting Numbers: [10, 26]
Generated Node #0,1,3: 78:[10, 26] Operation: 27-1=26
Moving to Node #0,1,0
Current State: 78:[27, 11], Operations: ['58-57=1', '10+1=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,78 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[10, 26], Operations: ['58-57=1', '27-1=26']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[1, 37], Operations: ['58-57=1', '27+10=37']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 1*37=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 1+37=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[10, 27], Operations: ['58-57=1', '27*1=27']
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,78 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,78 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, 57, 31], Operations: ['58-27=31']
Exploring Operation: 57-10=47, Resulting Numbers: [31, 47]
Generated Node #0,2,0: 78:[31, 47] Operation: 57-10=47
Exploring Operation: 57-31=26, Resulting Numbers: [10, 26]
Generated Node #0,2,1: 78:[10, 26] Operation: 57-31=26
Exploring Operation: 10+57=67, Resulting Numbers: [31, 67]
Generated Node #0,2,2: 78:[31, 67] Operation: 10+57=67
Exploring Operation: 57+31=88, Resulting Numbers: [10, 88]
Generated Node #0,2,3: 78:[10, 88] Operation: 57+31=88
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[10, 26], Operations: ['58-27=31', '57-31=26']
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,78 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[31, 47], Operations: ['58-27=31', '57-10=47']
Exploring Operation: 31*47=1457, Resulting Numbers: [1457]
1457,78 unequal: No Solution
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[58, 27, 10, 57], Operations: []
Exploring Operation: 58-27=31, Resulting Numbers: [10, 57, 31]
Generated Node #0,2: 78:[10, 57, 31] Operation: 58-27=31
Moving to Node #0,2
Current State: 78:[10, 57, 31], Operations: ['58-27=31']
Exploring Operation: 57-10=47, Resulting Numbers: [31, 47]
Generated Node #0,2,0: 78:[31, 47] Operation: 57-10=47
Moving to Node #0,2,0
Current State: 78:[31, 47], Operations: ['58-27=31', '57-10=47']
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_4 | mult_heuristic |
[
26,
16,
12,
10
] | 48 | [
"26+10=36",
"16*36=576",
"576/12=48"
] | Current State: 48:[26, 16, 12, 10], Operations: []
Exploring Operation: 26+10=36, Resulting Numbers: [16, 12, 36]
Generated Node #2: [16, 12, 36] from Operation: 26+10=36
Current State: 48:[16, 12, 36], Operations: ['26+10=36']
Exploring Operation: 16*36=576, Resulting Numbers: [12, 576]
Generated Node #3: [12, 576] from Operation: 16*36=576
Current State: 48:[12, 576], Operations: ['26+10=36', '16*36=576']
Exploring Operation: 576/12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[26, 16, 12, 10], Operations: []
Exploring Operation: 16-10=6, Resulting Numbers: [26, 12, 6]
Generated Node #0,0: 48:[26, 12, 6] Operation: 16-10=6
Exploring Operation: 26-10=16, Resulting Numbers: [16, 12, 16]
Generated Node #0,1: 48:[16, 12, 16] Operation: 26-10=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[16, 12, 16], Operations: ['26-10=16']
Exploring Operation: 16-12=4, Resulting Numbers: [16, 4]
Generated Node #0,1,0: 48:[16, 4] Operation: 16-12=4
Exploring Operation: 16-12=4, Resulting Numbers: [16, 4]
Generated Node #0,1,1: 48:[16, 4] Operation: 16-12=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[16, 4], Operations: ['26-10=16', '16-12=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 48:[16, 4], Operations: ['26-10=16', '16-12=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[26, 12, 6], Operations: ['16-10=6']
Exploring Operation: 12-6=6, Resulting Numbers: [26, 6]
Generated Node #0,0,0: 48:[26, 6] Operation: 12-6=6
Exploring Operation: 26-12=14, Resulting Numbers: [6, 14]
Generated Node #0,0,1: 48:[6, 14] Operation: 26-12=14
Moving to Node #0,0,0
Current State: 48:[26, 6], Operations: ['16-10=6', '12-6=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[6, 14], Operations: ['16-10=6', '26-12=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,48 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 |
[
21,
81,
23,
2
] | 95 | [
"81-23=58",
"2*58=116",
"116-21=95"
] | Current State: 95:[21, 81, 23, 2], Operations: []
Exploring Operation: 81-23=58, Resulting Numbers: [21, 2, 58]
Generated Node #2: [21, 2, 58] from Operation: 81-23=58
Current State: 95:[21, 2, 58], Operations: ['81-23=58']
Exploring Operation: 2*58=116, Resulting Numbers: [21, 116]
Generated Node #3: [21, 116] from Operation: 2*58=116
Current State: 95:[21, 116], Operations: ['81-23=58', '2*58=116']
Exploring Operation: 116-21=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[21, 81, 23, 2], Operations: []
Exploring Operation: 21+81=102, Resulting Numbers: [23, 2, 102]
Generated Node #0,0: 95:[23, 2, 102] Operation: 21+81=102
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[23, 2, 102], Operations: ['21+81=102']
Exploring Operation: 23-2=21, Resulting Numbers: [102, 21]
Generated Node #0,0,0: 95:[102, 21] Operation: 23-2=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[102, 21], Operations: ['21+81=102', '23-2=21']
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
21,
27,
16,
63
] | 25 | [
"21*27=567",
"567/63=9",
"16+9=25"
] | Current State: 25:[21, 27, 16, 63], Operations: []
Exploring Operation: 21*27=567, Resulting Numbers: [16, 63, 567]
Generated Node #2: [16, 63, 567] from Operation: 21*27=567
Current State: 25:[16, 63, 567], Operations: ['21*27=567']
Exploring Operation: 567/63=9, Resulting Numbers: [16, 9]
Generated Node #3: [16, 9] from Operation: 567/63=9
Current State: 25:[16, 9], Operations: ['21*27=567', '567/63=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[21, 27, 16, 63], Operations: []
Exploring Operation: 63-21=42, Resulting Numbers: [27, 16, 42]
Generated Node #0,0: 25:[27, 16, 42] Operation: 63-21=42
Exploring Operation: 63-27=36, Resulting Numbers: [21, 16, 36]
Generated Node #0,1: 25:[21, 16, 36] Operation: 63-27=36
Exploring Operation: 63/21=3, Resulting Numbers: [27, 16, 3]
Generated Node #0,2: 25:[27, 16, 3] Operation: 63/21=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[27, 16, 3], Operations: ['63/21=3']
Exploring Operation: 27-3=24, Resulting Numbers: [16, 24]
Generated Node #0,2,0: 25:[16, 24] Operation: 27-3=24
Exploring Operation: 27-16=11, Resulting Numbers: [3, 11]
Generated Node #0,2,1: 25:[3, 11] Operation: 27-16=11
Exploring Operation: 16+3=19, Resulting Numbers: [27, 19]
Generated Node #0,2,2: 25:[27, 19] Operation: 16+3=19
Moving to Node #0,2,1
Current State: 25:[3, 11], Operations: ['63/21=3', '27-16=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[27, 19], Operations: ['63/21=3', '16+3=19']
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 27*19=513, Resulting Numbers: [513]
513,25 unequal: No Solution
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[16, 24], Operations: ['63/21=3', '27-3=24']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,25 unequal: No Solution
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,25 unequal: No Solution
No 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: 25:[21, 16, 36], Operations: ['63-27=36']
Exploring Operation: 36-21=15, Resulting Numbers: [16, 15]
Generated Node #0,1,0: 25:[16, 15] Operation: 36-21=15
Exploring Operation: 21-16=5, Resulting Numbers: [36, 5]
Generated Node #0,1,1: 25:[36, 5] Operation: 21-16=5
Exploring Operation: 36-16=20, Resulting Numbers: [21, 20]
Generated Node #0,1,2: 25:[21, 20] Operation: 36-16=20
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 25:[21, 20], Operations: ['63-27=36', '36-16=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,25 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No 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: 25:[36, 5], Operations: ['63-27=36', '21-16=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,25 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,25 unequal: No Solution
No 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: 25:[16, 15], Operations: ['63-27=36', '36-21=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,25 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,25 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: 25:[27, 16, 42], Operations: ['63-21=42']
Exploring Operation: 42-16=26, Resulting Numbers: [27, 26]
Generated Node #0,0,0: 25:[27, 26] Operation: 42-16=26
Exploring Operation: 42-27=15, Resulting Numbers: [16, 15]
Generated Node #0,0,1: 25:[16, 15] Operation: 42-27=15
Exploring Operation: 27-16=11, Resulting Numbers: [42, 11]
Generated Node #0,0,2: 25:[42, 11] Operation: 27-16=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[27, 26], Operations: ['63-21=42', '42-16=26']
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,25 unequal: No Solution
No 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: 25:[16, 15], Operations: ['63-21=42', '42-27=15']
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,25 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,25 unequal: No Solution
No 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: 25:[42, 11], Operations: ['63-21=42', '27-16=11']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 42*11=462, Resulting Numbers: [462]
462,25 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 |
[
15,
40,
37,
24
] | 87 | [
"40-37=3",
"24*3=72",
"15+72=87"
] | Current State: 87:[15, 40, 37, 24], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [15, 24, 3]
Generated Node #2: [15, 24, 3] from Operation: 40-37=3
Current State: 87:[15, 24, 3], Operations: ['40-37=3']
Exploring Operation: 24*3=72, Resulting Numbers: [15, 72]
Generated Node #3: [15, 72] from Operation: 24*3=72
Current State: 87:[15, 72], Operations: ['40-37=3', '24*3=72']
Exploring Operation: 15+72=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[15, 40, 37, 24], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [37, 24, 25]
Generated Node #0,0: 87:[37, 24, 25] Operation: 40-15=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[37, 24, 25], Operations: ['40-15=25']
Exploring Operation: 25-24=1, Resulting Numbers: [37, 1]
Generated Node #0,0,0: 87:[37, 1] Operation: 25-24=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[37, 1], Operations: ['40-15=25', '25-24=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,87 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
91,
72,
85,
98
] | 79 | [
"98-85=13",
"91/13=7",
"72+7=79"
] | Current State: 79:[91, 72, 85, 98], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [91, 72, 13]
Generated Node #2: [91, 72, 13] from Operation: 98-85=13
Current State: 79:[91, 72, 13], Operations: ['98-85=13']
Exploring Operation: 91/13=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 91/13=7
Current State: 79:[72, 7], Operations: ['98-85=13', '91/13=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[91, 72, 85, 98], Operations: []
Exploring Operation: 91-72=19, Resulting Numbers: [85, 98, 19]
Generated Node #0,0: 79:[85, 98, 19] Operation: 91-72=19
Exploring Operation: 98-91=7, Resulting Numbers: [72, 85, 7]
Generated Node #0,1: 79:[72, 85, 7] Operation: 98-91=7
Exploring Operation: 98-72=26, Resulting Numbers: [91, 85, 26]
Generated Node #0,2: 79:[91, 85, 26] Operation: 98-72=26
Moving to Node #0,2
Current State: 79:[91, 85, 26], Operations: ['98-72=26']
Exploring Operation: 91+26=117, Resulting Numbers: [85, 117]
Generated Node #0,2,0: 79:[85, 117] Operation: 91+26=117
Exploring Operation: 91-26=65, Resulting Numbers: [85, 65]
Generated Node #0,2,1: 79:[85, 65] Operation: 91-26=65
Exploring Operation: 85-26=59, Resulting Numbers: [91, 59]
Generated Node #0,2,2: 79:[91, 59] Operation: 85-26=59
Moving to Node #0,0
Current State: 79:[85, 98, 19], Operations: ['91-72=19']
Exploring Operation: 85-19=66, Resulting Numbers: [98, 66]
Generated Node #0,0,0: 79:[98, 66] Operation: 85-19=66
Exploring Operation: 85+19=104, Resulting Numbers: [98, 104]
Generated Node #0,0,1: 79:[98, 104] Operation: 85+19=104
Exploring Operation: 98-19=79, Resulting Numbers: [85, 79]
Generated Node #0,0,2: 79:[85, 79] Operation: 98-19=79
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[85, 79], Operations: ['91-72=19', '98-19=79']
Exploring Operation: 85-79=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 85*79=6715, Resulting Numbers: [6715]
6715,79 unequal: No Solution
Exploring Operation: 85+79=164, Resulting Numbers: [164]
164,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[98, 66], Operations: ['91-72=19', '85-19=66']
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,79 unequal: No Solution
Exploring Operation: 98+66=164, Resulting Numbers: [164]
164,79 unequal: No Solution
Exploring Operation: 98*66=6468, Resulting Numbers: [6468]
6468,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[98, 104], Operations: ['91-72=19', '85+19=104']
Exploring Operation: 98*104=10192, Resulting Numbers: [10192]
10192,79 unequal: No Solution
Exploring Operation: 98+104=202, Resulting Numbers: [202]
202,79 unequal: No Solution
Exploring Operation: 104-98=6, Resulting Numbers: [6]
6,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 79:[72, 85, 7], Operations: ['98-91=7']
Exploring Operation: 72+7=79, Resulting Numbers: [85, 79]
Generated Node #0,1,0: 79:[85, 79] Operation: 72+7=79
Exploring Operation: 85-7=78, Resulting Numbers: [72, 78]
Generated Node #0,1,1: 79:[72, 78] Operation: 85-7=78
Exploring Operation: 72-7=65, Resulting Numbers: [85, 65]
Generated Node #0,1,2: 79:[85, 65] Operation: 72-7=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[85, 79], Operations: ['98-91=7', '72+7=79']
Exploring Operation: 85-79=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 85*79=6715, Resulting Numbers: [6715]
6715,79 unequal: No Solution
Exploring Operation: 85+79=164, Resulting Numbers: [164]
164,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[72, 78], Operations: ['98-91=7', '85-7=78']
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 72+78=150, Resulting Numbers: [150]
150,79 unequal: No Solution
Exploring Operation: 72*78=5616, Resulting Numbers: [5616]
5616,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[85, 65], Operations: ['98-91=7', '72-7=65']
Exploring Operation: 85+65=150, Resulting Numbers: [150]
150,79 unequal: No Solution
Exploring Operation: 85-65=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 85*65=5525, Resulting Numbers: [5525]
5525,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 79:[85, 65], Operations: ['98-72=26', '91-26=65']
Exploring Operation: 85-65=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 85+65=150, Resulting Numbers: [150]
150,79 unequal: No Solution
Exploring Operation: 85*65=5525, Resulting Numbers: [5525]
5525,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[91, 59], Operations: ['98-72=26', '85-26=59']
Exploring Operation: 91+59=150, Resulting Numbers: [150]
150,79 unequal: No Solution
Exploring Operation: 91-59=32, Resulting Numbers: [32]
32,79 unequal: No Solution
Exploring Operation: 91*59=5369, Resulting Numbers: [5369]
5369,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[85, 117], Operations: ['98-72=26', '91+26=117']
Exploring Operation: 85+117=202, Resulting Numbers: [202]
202,79 unequal: No Solution
Exploring Operation: 85*117=9945, Resulting Numbers: [9945]
9945,79 unequal: No Solution
Exploring Operation: 117-85=32, Resulting Numbers: [32]
32,79 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
68,
86,
90,
41
] | 31 | [
"86-68=18",
"90-41=49",
"49-18=31"
] | Current State: 31:[68, 86, 90, 41], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [90, 41, 18]
Generated Node #2: [90, 41, 18] from Operation: 86-68=18
Current State: 31:[90, 41, 18], Operations: ['86-68=18']
Exploring Operation: 90-41=49, Resulting Numbers: [18, 49]
Generated Node #3: [18, 49] from Operation: 90-41=49
Current State: 31:[18, 49], Operations: ['86-68=18', '90-41=49']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[68, 86, 90, 41], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [68, 41, 4]
Generated Node #0,0: 31:[68, 41, 4] Operation: 90-86=4
Exploring Operation: 90-68=22, Resulting Numbers: [86, 41, 22]
Generated Node #0,1: 31:[86, 41, 22] Operation: 90-68=22
Moving to Node #0,0
Current State: 31:[68, 41, 4], Operations: ['90-86=4']
Exploring Operation: 68-41=27, Resulting Numbers: [4, 27]
Generated Node #0,0,0: 31:[4, 27] Operation: 68-41=27
Exploring Operation: 68/4=17, Resulting Numbers: [41, 17]
Generated Node #0,0,1: 31:[41, 17] Operation: 68/4=17
Moving to Node #0,1
Current State: 31:[86, 41, 22], Operations: ['90-68=22']
Exploring Operation: 86-22=64, Resulting Numbers: [41, 64]
Generated Node #0,1,0: 31:[41, 64] Operation: 86-22=64
Exploring Operation: 86-41=45, Resulting Numbers: [22, 45]
Generated Node #0,1,1: 31:[22, 45] Operation: 86-41=45
Moving to Node #0,1,1
Current State: 31:[22, 45], Operations: ['90-68=22', '86-41=45']
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,31 unequal: No Solution
Exploring Operation: 22+45=67, Resulting Numbers: [67]
67,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[41, 17], Operations: ['90-86=4', '68/4=17']
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[4, 27], Operations: ['90-86=4', '68-41=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[68, 86, 90, 41], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [68, 41, 4]
Generated Node #0,0: 31:[68, 41, 4] Operation: 90-86=4
Moving to Node #0,0
Current State: 31:[68, 41, 4], Operations: ['90-86=4']
Exploring Operation: 68-41=27, Resulting Numbers: [4, 27]
Generated Node #0,0,0: 31:[4, 27] Operation: 68-41=27
Moving to Node #0,0,0
Current State: 31:[4, 27], Operations: ['90-86=4', '68-41=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
3,
11,
66,
50
] | 61 | [
"66/3=22",
"50-11=39",
"22+39=61"
] | Current State: 61:[3, 11, 66, 50], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [11, 50, 22]
Generated Node #2: [11, 50, 22] from Operation: 66/3=22
Current State: 61:[11, 50, 22], Operations: ['66/3=22']
Exploring Operation: 50-11=39, Resulting Numbers: [22, 39]
Generated Node #3: [22, 39] from Operation: 50-11=39
Current State: 61:[22, 39], Operations: ['66/3=22', '50-11=39']
Exploring Operation: 22+39=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[3, 11, 66, 50], Operations: []
Exploring Operation: 66-3=63, Resulting Numbers: [11, 50, 63]
Generated Node #0,0: 61:[11, 50, 63] Operation: 66-3=63
Exploring Operation: 3+11=14, Resulting Numbers: [66, 50, 14]
Generated Node #0,1: 61:[66, 50, 14] Operation: 3+11=14
Exploring Operation: 3*11=33, Resulting Numbers: [66, 50, 33]
Generated Node #0,2: 61:[66, 50, 33] Operation: 3*11=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[66, 50, 33], Operations: ['3*11=33']
Exploring Operation: 66-33=33, Resulting Numbers: [50, 33]
Generated Node #0,2,0: 61:[50, 33] Operation: 66-33=33
Exploring Operation: 66+33=99, Resulting Numbers: [50, 99]
Generated Node #0,2,1: 61:[50, 99] Operation: 66+33=99
Exploring Operation: 50+33=83, Resulting Numbers: [66, 83]
Generated Node #0,2,2: 61:[66, 83] Operation: 50+33=83
Moving to Node #0,2,2
Current State: 61:[66, 83], Operations: ['3*11=33', '50+33=83']
Exploring Operation: 83-66=17, Resulting Numbers: [17]
17,61 unequal: No Solution
Exploring Operation: 66*83=5478, Resulting Numbers: [5478]
5478,61 unequal: No Solution
Exploring Operation: 66+83=149, Resulting Numbers: [149]
149,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[50, 33], Operations: ['3*11=33', '66-33=33']
Exploring Operation: 50+33=83, Resulting Numbers: [83]
83,61 unequal: No Solution
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,61 unequal: No Solution
Exploring Operation: 50*33=1650, Resulting Numbers: [1650]
1650,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[50, 99], Operations: ['3*11=33', '66+33=99']
Exploring Operation: 99-50=49, Resulting Numbers: [49]
49,61 unequal: No Solution
Exploring Operation: 50+99=149, Resulting Numbers: [149]
149,61 unequal: No Solution
Exploring Operation: 50*99=4950, Resulting Numbers: [4950]
4950,61 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
Current State: 61:[11, 50, 63], Operations: ['66-3=63']
Exploring Operation: 11+50=61, Resulting Numbers: [63, 61]
Generated Node #0,0,0: 61:[63, 61] Operation: 11+50=61
Exploring Operation: 63-11=52, Resulting Numbers: [50, 52]
Generated Node #0,0,1: 61:[50, 52] Operation: 63-11=52
Exploring Operation: 50-11=39, Resulting Numbers: [63, 39]
Generated Node #0,0,2: 61:[63, 39] Operation: 50-11=39
Moving to Node #0,0,0
Current State: 61:[63, 61], Operations: ['66-3=63', '11+50=61']
Exploring Operation: 63*61=3843, Resulting Numbers: [3843]
3843,61 unequal: No Solution
Exploring Operation: 63+61=124, Resulting Numbers: [124]
124,61 unequal: No Solution
Exploring Operation: 63-61=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[50, 52], Operations: ['66-3=63', '63-11=52']
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,61 unequal: No Solution
Exploring Operation: 50*52=2600, Resulting Numbers: [2600]
2600,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[63, 39], Operations: ['66-3=63', '50-11=39']
Exploring Operation: 63+39=102, Resulting Numbers: [102]
102,61 unequal: No Solution
Exploring Operation: 63*39=2457, Resulting Numbers: [2457]
2457,61 unequal: No Solution
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,61 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
Current State: 61:[66, 50, 14], Operations: ['3+11=14']
Exploring Operation: 50+14=64, Resulting Numbers: [66, 64]
Generated Node #0,1,0: 61:[66, 64] Operation: 50+14=64
Exploring Operation: 66-14=52, Resulting Numbers: [50, 52]
Generated Node #0,1,1: 61:[50, 52] Operation: 66-14=52
Exploring Operation: 66+14=80, Resulting Numbers: [50, 80]
Generated Node #0,1,2: 61:[50, 80] Operation: 66+14=80
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[66, 64], Operations: ['3+11=14', '50+14=64']
Exploring Operation: 66*64=4224, Resulting Numbers: [4224]
4224,61 unequal: No Solution
Exploring Operation: 66+64=130, Resulting Numbers: [130]
130,61 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,61 unequal: No Solution
No 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: 61:[50, 52], Operations: ['3+11=14', '66-14=52']
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,61 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 50*52=2600, Resulting Numbers: [2600]
2600,61 unequal: No Solution
No 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: 61:[50, 80], Operations: ['3+11=14', '66+14=80']
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 50*80=4000, Resulting Numbers: [4000]
4000,61 unequal: No Solution
Exploring Operation: 50+80=130, Resulting Numbers: [130]
130,61 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 |
[
4,
38,
53,
6
] | 29 | [
"4*53=212",
"212-38=174",
"174/6=29"
] | Current State: 29:[4, 38, 53, 6], Operations: []
Exploring Operation: 4*53=212, Resulting Numbers: [38, 6, 212]
Generated Node #2: [38, 6, 212] from Operation: 4*53=212
Current State: 29:[38, 6, 212], Operations: ['4*53=212']
Exploring Operation: 212-38=174, Resulting Numbers: [6, 174]
Generated Node #3: [6, 174] from Operation: 212-38=174
Current State: 29:[6, 174], Operations: ['4*53=212', '212-38=174']
Exploring Operation: 174/6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[4, 38, 53, 6], Operations: []
Exploring Operation: 4*6=24, Resulting Numbers: [38, 53, 24]
Generated Node #0,0: 29:[38, 53, 24] Operation: 4*6=24
Moving to Node #0,0
Current State: 29:[38, 53, 24], Operations: ['4*6=24']
Exploring Operation: 53-24=29, Resulting Numbers: [38, 29]
Generated Node #0,0,0: 29:[38, 29] Operation: 53-24=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[38, 29], Operations: ['4*6=24', '53-24=29']
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,29 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 |
[
64,
60,
3,
37
] | 79 | [
"64+37=101",
"60*3=180",
"180-101=79"
] | Current State: 79:[64, 60, 3, 37], Operations: []
Exploring Operation: 64+37=101, Resulting Numbers: [60, 3, 101]
Generated Node #2: [60, 3, 101] from Operation: 64+37=101
Current State: 79:[60, 3, 101], Operations: ['64+37=101']
Exploring Operation: 60*3=180, Resulting Numbers: [101, 180]
Generated Node #3: [101, 180] from Operation: 60*3=180
Current State: 79:[101, 180], Operations: ['64+37=101', '60*3=180']
Exploring Operation: 180-101=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[64, 60, 3, 37], Operations: []
Exploring Operation: 60+3=63, Resulting Numbers: [64, 37, 63]
Generated Node #0,0: 79:[64, 37, 63] Operation: 60+3=63
Exploring Operation: 3+37=40, Resulting Numbers: [64, 60, 40]
Generated Node #0,1: 79:[64, 60, 40] Operation: 3+37=40
Exploring Operation: 64+3=67, Resulting Numbers: [60, 37, 67]
Generated Node #0,2: 79:[60, 37, 67] Operation: 64+3=67
Exploring Operation: 3*37=111, Resulting Numbers: [64, 60, 111]
Generated Node #0,3: 79:[64, 60, 111] Operation: 3*37=111
Moving to Node #0,3
Current State: 79:[64, 60, 111], Operations: ['3*37=111']
Exploring Operation: 111-64=47, Resulting Numbers: [60, 47]
Generated Node #0,3,0: 79:[60, 47] Operation: 111-64=47
Exploring Operation: 64+60=124, Resulting Numbers: [111, 124]
Generated Node #0,3,1: 79:[111, 124] Operation: 64+60=124
Exploring Operation: 64-60=4, Resulting Numbers: [111, 4]
Generated Node #0,3,2: 79:[111, 4] Operation: 64-60=4
Exploring Operation: 111-60=51, Resulting Numbers: [64, 51]
Generated Node #0,3,3: 79:[64, 51] Operation: 111-60=51
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[64, 51], Operations: ['3*37=111', '111-60=51']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[60, 47], Operations: ['3*37=111', '111-64=47']
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,79 unequal: No Solution
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,79 unequal: No Solution
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 79:[111, 124], Operations: ['3*37=111', '64+60=124']
Exploring Operation: 111+124=235, Resulting Numbers: [235]
235,79 unequal: No Solution
Exploring Operation: 111*124=13764, Resulting Numbers: [13764]
13764,79 unequal: No Solution
Exploring Operation: 124-111=13, Resulting Numbers: [13]
13,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 79:[111, 4], Operations: ['3*37=111', '64-60=4']
Exploring Operation: 111+4=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 111-4=107, Resulting Numbers: [107]
107,79 unequal: No Solution
Exploring Operation: 111*4=444, Resulting Numbers: [444]
444,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 79:[64, 60, 40], Operations: ['3+37=40']
Exploring Operation: 60-40=20, Resulting Numbers: [64, 20]
Generated Node #0,1,0: 79:[64, 20] Operation: 60-40=20
Exploring Operation: 64-40=24, Resulting Numbers: [60, 24]
Generated Node #0,1,1: 79:[60, 24] Operation: 64-40=24
Exploring Operation: 60+40=100, Resulting Numbers: [64, 100]
Generated Node #0,1,2: 79:[64, 100] Operation: 60+40=100
Exploring Operation: 64+40=104, Resulting Numbers: [60, 104]
Generated Node #0,1,3: 79:[60, 104] Operation: 64+40=104
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[64, 100], Operations: ['3+37=40', '60+40=100']
Exploring Operation: 100-64=36, Resulting Numbers: [36]
36,79 unequal: No Solution
Exploring Operation: 64+100=164, Resulting Numbers: [164]
164,79 unequal: No Solution
Exploring Operation: 64*100=6400, Resulting Numbers: [6400]
6400,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 79:[60, 104], Operations: ['3+37=40', '64+40=104']
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 60*104=6240, Resulting Numbers: [6240]
6240,79 unequal: No Solution
Exploring Operation: 60+104=164, Resulting Numbers: [164]
164,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[64, 20], Operations: ['3+37=40', '60-40=20']
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,79 unequal: No Solution
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[60, 24], Operations: ['3+37=40', '64-40=24']
Exploring Operation: 60*24=1440, Resulting Numbers: [1440]
1440,79 unequal: No Solution
Exploring Operation: 60+24=84, Resulting Numbers: [84]
84,79 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,79 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: 79:[64, 37, 63], Operations: ['60+3=63']
Exploring Operation: 37+63=100, Resulting Numbers: [64, 100]
Generated Node #0,0,0: 79:[64, 100] Operation: 37+63=100
Exploring Operation: 64-37=27, Resulting Numbers: [63, 27]
Generated Node #0,0,1: 79:[63, 27] Operation: 64-37=27
Exploring Operation: 64+37=101, Resulting Numbers: [63, 101]
Generated Node #0,0,2: 79:[63, 101] Operation: 64+37=101
Exploring Operation: 63-37=26, Resulting Numbers: [64, 26]
Generated Node #0,0,3: 79:[64, 26] Operation: 63-37=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[64, 100], Operations: ['60+3=63', '37+63=100']
Exploring Operation: 64*100=6400, Resulting Numbers: [6400]
6400,79 unequal: No Solution
Exploring Operation: 64+100=164, Resulting Numbers: [164]
164,79 unequal: No Solution
Exploring Operation: 100-64=36, Resulting Numbers: [36]
36,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[63, 101], Operations: ['60+3=63', '64+37=101']
Exploring Operation: 63*101=6363, Resulting Numbers: [6363]
6363,79 unequal: No Solution
Exploring Operation: 63+101=164, Resulting Numbers: [164]
164,79 unequal: No Solution
Exploring Operation: 101-63=38, Resulting Numbers: [38]
38,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[63, 27], Operations: ['60+3=63', '64-37=27']
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 63*27=1701, Resulting Numbers: [1701]
1701,79 unequal: No Solution
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 79:[64, 26], Operations: ['60+3=63', '63-37=26']
Exploring Operation: 64*26=1664, Resulting Numbers: [1664]
1664,79 unequal: No Solution
Exploring Operation: 64+26=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,79 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: 79:[60, 37, 67], Operations: ['64+3=67']
Exploring Operation: 37+67=104, Resulting Numbers: [60, 104]
Generated Node #0,2,0: 79:[60, 104] Operation: 37+67=104
Exploring Operation: 67-37=30, Resulting Numbers: [60, 30]
Generated Node #0,2,1: 79:[60, 30] Operation: 67-37=30
Exploring Operation: 60-37=23, Resulting Numbers: [67, 23]
Generated Node #0,2,2: 79:[67, 23] Operation: 60-37=23
Exploring Operation: 60+37=97, Resulting Numbers: [67, 97]
Generated Node #0,2,3: 79:[67, 97] Operation: 60+37=97
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[67, 97], Operations: ['64+3=67', '60+37=97']
Exploring Operation: 67*97=6499, Resulting Numbers: [6499]
6499,79 unequal: No Solution
Exploring Operation: 67+97=164, Resulting Numbers: [164]
164,79 unequal: No Solution
Exploring Operation: 97-67=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[60, 104], Operations: ['64+3=67', '37+67=104']
Exploring Operation: 60+104=164, Resulting Numbers: [164]
164,79 unequal: No Solution
Exploring Operation: 60*104=6240, Resulting Numbers: [6240]
6240,79 unequal: No Solution
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[60, 30], Operations: ['64+3=67', '67-37=30']
Exploring Operation: 60*30=1800, Resulting Numbers: [1800]
1800,79 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[67, 23], Operations: ['64+3=67', '60-37=23']
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,79 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,79 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 |
[
13,
75,
29,
79
] | 23 | [
"79-75=4",
"13*4=52",
"52-29=23"
] | Current State: 23:[13, 75, 29, 79], Operations: []
Exploring Operation: 79-75=4, Resulting Numbers: [13, 29, 4]
Generated Node #2: [13, 29, 4] from Operation: 79-75=4
Current State: 23:[13, 29, 4], Operations: ['79-75=4']
Exploring Operation: 13*4=52, Resulting Numbers: [29, 52]
Generated Node #3: [29, 52] from Operation: 13*4=52
Current State: 23:[29, 52], Operations: ['79-75=4', '13*4=52']
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[13, 75, 29, 79], Operations: []
Exploring Operation: 79-75=4, Resulting Numbers: [13, 29, 4]
Generated Node #0,0: 23:[13, 29, 4] Operation: 79-75=4
Exploring Operation: 75-29=46, Resulting Numbers: [13, 79, 46]
Generated Node #0,1: 23:[13, 79, 46] Operation: 75-29=46
Exploring Operation: 79-29=50, Resulting Numbers: [13, 75, 50]
Generated Node #0,2: 23:[13, 75, 50] Operation: 79-29=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[13, 29, 4], Operations: ['79-75=4']
Exploring Operation: 13-4=9, Resulting Numbers: [29, 9]
Generated Node #0,0,0: 23:[29, 9] Operation: 13-4=9
Exploring Operation: 29-4=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 23:[13, 25] Operation: 29-4=25
Exploring Operation: 13+4=17, Resulting Numbers: [29, 17]
Generated Node #0,0,2: 23:[29, 17] Operation: 13+4=17
Moving to Node #0,0,1
Current State: 23:[13, 25], Operations: ['79-75=4', '29-4=25']
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,23 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[29, 17], Operations: ['79-75=4', '13+4=17']
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,23 unequal: No Solution
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[29, 9], Operations: ['79-75=4', '13-4=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,23 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,23 unequal: No Solution
No 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: 23:[13, 79, 46], Operations: ['75-29=46']
Exploring Operation: 79-46=33, Resulting Numbers: [13, 33]
Generated Node #0,1,0: 23:[13, 33] Operation: 79-46=33
Exploring Operation: 79-13=66, Resulting Numbers: [46, 66]
Generated Node #0,1,1: 23:[46, 66] Operation: 79-13=66
Exploring Operation: 46-13=33, Resulting Numbers: [79, 33]
Generated Node #0,1,2: 23:[79, 33] Operation: 46-13=33
Moving to Node #0,1,0
Current State: 23:[13, 33], Operations: ['75-29=46', '79-46=33']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 13*33=429, Resulting Numbers: [429]
429,23 unequal: No Solution
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[46, 66], Operations: ['75-29=46', '79-13=66']
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 46*66=3036, Resulting Numbers: [3036]
3036,23 unequal: No Solution
Exploring Operation: 46+66=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[79, 33], Operations: ['75-29=46', '46-13=33']
Exploring Operation: 79*33=2607, Resulting Numbers: [2607]
2607,23 unequal: No Solution
Exploring Operation: 79+33=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,23 unequal: No Solution
No 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: 23:[13, 75, 50], Operations: ['79-29=50']
Exploring Operation: 75-13=62, Resulting Numbers: [50, 62]
Generated Node #0,2,0: 23:[50, 62] Operation: 75-13=62
Exploring Operation: 50-13=37, Resulting Numbers: [75, 37]
Generated Node #0,2,1: 23:[75, 37] Operation: 50-13=37
Exploring Operation: 75-50=25, Resulting Numbers: [13, 25]
Generated Node #0,2,2: 23:[13, 25] Operation: 75-50=25
Moving to Node #0,2,2
Current State: 23:[13, 25], Operations: ['79-29=50', '75-50=25']
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,23 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[50, 62], Operations: ['79-29=50', '75-13=62']
Exploring Operation: 50*62=3100, Resulting Numbers: [3100]
3100,23 unequal: No Solution
Exploring Operation: 50+62=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Exploring Operation: 62-50=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[75, 37], Operations: ['79-29=50', '50-13=37']
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 75+37=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Exploring Operation: 75*37=2775, Resulting Numbers: [2775]
2775,23 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 |
[
56,
5,
38,
64
] | 74 | [
"64-38=26",
"5*26=130",
"130-56=74"
] | Current State: 74:[56, 5, 38, 64], Operations: []
Exploring Operation: 64-38=26, Resulting Numbers: [56, 5, 26]
Generated Node #2: [56, 5, 26] from Operation: 64-38=26
Current State: 74:[56, 5, 26], Operations: ['64-38=26']
Exploring Operation: 5*26=130, Resulting Numbers: [56, 130]
Generated Node #3: [56, 130] from Operation: 5*26=130
Current State: 74:[56, 130], Operations: ['64-38=26', '5*26=130']
Exploring Operation: 130-56=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[56, 5, 38, 64], Operations: []
Exploring Operation: 5+64=69, Resulting Numbers: [56, 38, 69]
Generated Node #0,0: 74:[56, 38, 69] Operation: 5+64=69
Exploring Operation: 56-5=51, Resulting Numbers: [38, 64, 51]
Generated Node #0,1: 74:[38, 64, 51] Operation: 56-5=51
Exploring Operation: 64-56=8, Resulting Numbers: [5, 38, 8]
Generated Node #0,2: 74:[5, 38, 8] Operation: 64-56=8
Exploring Operation: 56+5=61, Resulting Numbers: [38, 64, 61]
Generated Node #0,3: 74:[38, 64, 61] Operation: 56+5=61
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[5, 38, 8], Operations: ['64-56=8']
Exploring Operation: 38-8=30, Resulting Numbers: [5, 30]
Generated Node #0,2,0: 74:[5, 30] Operation: 38-8=30
Exploring Operation: 5*8=40, Resulting Numbers: [38, 40]
Generated Node #0,2,1: 74:[38, 40] Operation: 5*8=40
Exploring Operation: 8-5=3, Resulting Numbers: [38, 3]
Generated Node #0,2,2: 74:[38, 3] Operation: 8-5=3
Exploring Operation: 38-5=33, Resulting Numbers: [8, 33]
Generated Node #0,2,3: 74:[8, 33] Operation: 38-5=33
Moving to Node #0,2,2
Current State: 74:[38, 3], Operations: ['64-56=8', '8-5=3']
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,74 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[38, 40], Operations: ['64-56=8', '5*8=40']
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,74 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[8, 33], Operations: ['64-56=8', '38-5=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[5, 30], Operations: ['64-56=8', '38-8=30']
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,74 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,74 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
Current State: 74:[56, 38, 69], Operations: ['5+64=69']
Exploring Operation: 69-56=13, Resulting Numbers: [38, 13]
Generated Node #0,0,0: 74:[38, 13] Operation: 69-56=13
Exploring Operation: 56-38=18, Resulting Numbers: [69, 18]
Generated Node #0,0,1: 74:[69, 18] Operation: 56-38=18
Exploring Operation: 69-38=31, Resulting Numbers: [56, 31]
Generated Node #0,0,2: 74:[56, 31] Operation: 69-38=31
Exploring Operation: 56+38=94, Resulting Numbers: [69, 94]
Generated Node #0,0,3: 74:[69, 94] Operation: 56+38=94
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[38, 13], Operations: ['5+64=69', '69-56=13']
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,74 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,74 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[69, 18], Operations: ['5+64=69', '56-38=18']
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,74 unequal: No Solution
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,74 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[56, 31], Operations: ['5+64=69', '69-38=31']
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,74 unequal: No Solution
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[69, 94], Operations: ['5+64=69', '56+38=94']
Exploring Operation: 94-69=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 69+94=163, Resulting Numbers: [163]
163,74 unequal: No Solution
Exploring Operation: 69*94=6486, Resulting Numbers: [6486]
6486,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[38, 64, 61], Operations: ['56+5=61']
Exploring Operation: 64-38=26, Resulting Numbers: [61, 26]
Generated Node #0,3,0: 74:[61, 26] Operation: 64-38=26
Exploring Operation: 64-61=3, Resulting Numbers: [38, 3]
Generated Node #0,3,1: 74:[38, 3] Operation: 64-61=3
Exploring Operation: 38+61=99, Resulting Numbers: [64, 99]
Generated Node #0,3,2: 74:[64, 99] Operation: 38+61=99
Exploring Operation: 61-38=23, Resulting Numbers: [64, 23]
Generated Node #0,3,3: 74:[64, 23] Operation: 61-38=23
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 74:[38, 3], Operations: ['56+5=61', '64-61=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 74:[61, 26], Operations: ['56+5=61', '64-38=26']
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 61*26=1586, Resulting Numbers: [1586]
1586,74 unequal: No Solution
Exploring Operation: 61+26=87, Resulting Numbers: [87]
87,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 74:[64, 23], Operations: ['56+5=61', '61-38=23']
Exploring Operation: 64*23=1472, Resulting Numbers: [1472]
1472,74 unequal: No Solution
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,74 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 74:[64, 99], Operations: ['56+5=61', '38+61=99']
Exploring Operation: 64*99=6336, Resulting Numbers: [6336]
6336,74 unequal: No Solution
Exploring Operation: 99-64=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 64+99=163, Resulting Numbers: [163]
163,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[38, 64, 51], Operations: ['56-5=51']
Exploring Operation: 38+51=89, Resulting Numbers: [64, 89]
Generated Node #0,1,0: 74:[64, 89] Operation: 38+51=89
Exploring Operation: 64-38=26, Resulting Numbers: [51, 26]
Generated Node #0,1,1: 74:[51, 26] Operation: 64-38=26
Exploring Operation: 64-51=13, Resulting Numbers: [38, 13]
Generated Node #0,1,2: 74:[38, 13] Operation: 64-51=13
Exploring Operation: 51-38=13, Resulting Numbers: [64, 13]
Generated Node #0,1,3: 74:[64, 13] Operation: 51-38=13
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 74:[38, 13], Operations: ['56-5=51', '64-51=13']
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,74 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,74 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 74:[64, 13], Operations: ['56-5=51', '51-38=13']
Exploring Operation: 64+13=77, Resulting Numbers: [77]
77,74 unequal: No Solution
Exploring Operation: 64*13=832, Resulting Numbers: [832]
832,74 unequal: No Solution
Exploring Operation: 64-13=51, Resulting Numbers: [51]
51,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[64, 89], Operations: ['56-5=51', '38+51=89']
Exploring Operation: 64+89=153, Resulting Numbers: [153]
153,74 unequal: No Solution
Exploring Operation: 64*89=5696, Resulting Numbers: [5696]
5696,74 unequal: No Solution
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[51, 26], Operations: ['56-5=51', '64-38=26']
Exploring Operation: 51*26=1326, Resulting Numbers: [1326]
1326,74 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
71,
88,
77,
51
] | 31 | [
"71+88=159",
"77+51=128",
"159-128=31"
] | Current State: 31:[71, 88, 77, 51], Operations: []
Exploring Operation: 71+88=159, Resulting Numbers: [77, 51, 159]
Generated Node #2: [77, 51, 159] from Operation: 71+88=159
Current State: 31:[77, 51, 159], Operations: ['71+88=159']
Exploring Operation: 77+51=128, Resulting Numbers: [159, 128]
Generated Node #3: [159, 128] from Operation: 77+51=128
Current State: 31:[159, 128], Operations: ['71+88=159', '77+51=128']
Exploring Operation: 159-128=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[71, 88, 77, 51], Operations: []
Exploring Operation: 88-71=17, Resulting Numbers: [77, 51, 17]
Generated Node #0,0: 31:[77, 51, 17] Operation: 88-71=17
Exploring Operation: 88-77=11, Resulting Numbers: [71, 51, 11]
Generated Node #0,1: 31:[71, 51, 11] Operation: 88-77=11
Exploring Operation: 77-71=6, Resulting Numbers: [88, 51, 6]
Generated Node #0,2: 31:[88, 51, 6] Operation: 77-71=6
Exploring Operation: 88-51=37, Resulting Numbers: [71, 77, 37]
Generated Node #0,3: 31:[71, 77, 37] Operation: 88-51=37
Moving to Node #0,0
Current State: 31:[77, 51, 17], Operations: ['88-71=17']
Exploring Operation: 77-17=60, Resulting Numbers: [51, 60]
Generated Node #0,0,0: 31:[51, 60] Operation: 77-17=60
Exploring Operation: 77-51=26, Resulting Numbers: [17, 26]
Generated Node #0,0,1: 31:[17, 26] Operation: 77-51=26
Exploring Operation: 51/17=3, Resulting Numbers: [77, 3]
Generated Node #0,0,2: 31:[77, 3] Operation: 51/17=3
Exploring Operation: 51-17=34, Resulting Numbers: [77, 34]
Generated Node #0,0,3: 31:[77, 34] Operation: 51-17=34
Moving to Node #0,1
Current State: 31:[71, 51, 11], Operations: ['88-77=11']
Exploring Operation: 71-51=20, Resulting Numbers: [11, 20]
Generated Node #0,1,0: 31:[11, 20] Operation: 71-51=20
Exploring Operation: 51-11=40, Resulting Numbers: [71, 40]
Generated Node #0,1,1: 31:[71, 40] Operation: 51-11=40
Exploring Operation: 71+11=82, Resulting Numbers: [51, 82]
Generated Node #0,1,2: 31:[51, 82] Operation: 71+11=82
Exploring Operation: 71-11=60, Resulting Numbers: [51, 60]
Generated Node #0,1,3: 31:[51, 60] Operation: 71-11=60
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[11, 20], Operations: ['88-77=11', '71-51=20']
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,31 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[71, 88, 77, 51], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [71, 51, 11]
Generated Node #0,1: 31:[71, 51, 11] Operation: 88-77=11
Moving to Node #0,1
Current State: 31:[71, 51, 11], Operations: ['88-77=11']
Exploring Operation: 71-51=20, Resulting Numbers: [11, 20]
Generated Node #0,1,0: 31:[11, 20] Operation: 71-51=20
Moving to Node #0,1,0
Current State: 31:[11, 20], Operations: ['88-77=11', '71-51=20']
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
63,
92,
97,
66
] | 15 | [
"66-63=3",
"97-92=5",
"3*5=15"
] | Current State: 15:[63, 92, 97, 66], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [92, 97, 3]
Generated Node #2: [92, 97, 3] from Operation: 66-63=3
Current State: 15:[92, 97, 3], Operations: ['66-63=3']
Exploring Operation: 97-92=5, Resulting Numbers: [3, 5]
Generated Node #3: [3, 5] from Operation: 97-92=5
Current State: 15:[3, 5], Operations: ['66-63=3', '97-92=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[63, 92, 97, 66], Operations: []
Exploring Operation: 92-66=26, Resulting Numbers: [63, 97, 26]
Generated Node #0,0: 15:[63, 97, 26] Operation: 92-66=26
Exploring Operation: 97-92=5, Resulting Numbers: [63, 66, 5]
Generated Node #0,1: 15:[63, 66, 5] Operation: 97-92=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[63, 66, 5], Operations: ['97-92=5']
Exploring Operation: 63-5=58, Resulting Numbers: [66, 58]
Generated Node #0,1,0: 15:[66, 58] Operation: 63-5=58
Exploring Operation: 66-63=3, Resulting Numbers: [5, 3]
Generated Node #0,1,1: 15:[5, 3] Operation: 66-63=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[5, 3], Operations: ['97-92=5', '66-63=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[63, 92, 97, 66], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [63, 66, 5]
Generated Node #0,1: 15:[63, 66, 5] Operation: 97-92=5
Moving to Node #0,1
Current State: 15:[63, 66, 5], Operations: ['97-92=5']
Exploring Operation: 66-63=3, Resulting Numbers: [5, 3]
Generated Node #0,1,1: 15:[5, 3] Operation: 66-63=3
Moving to Node #0,1,1
Current State: 15:[5, 3], Operations: ['97-92=5', '66-63=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
1,
25,
75,
89
] | 40 | [
"1+25=26",
"89-75=14",
"26+14=40"
] | Current State: 40:[1, 25, 75, 89], Operations: []
Exploring Operation: 1+25=26, Resulting Numbers: [75, 89, 26]
Generated Node #2: [75, 89, 26] from Operation: 1+25=26
Current State: 40:[75, 89, 26], Operations: ['1+25=26']
Exploring Operation: 89-75=14, Resulting Numbers: [26, 14]
Generated Node #3: [26, 14] from Operation: 89-75=14
Current State: 40:[26, 14], Operations: ['1+25=26', '89-75=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[1, 25, 75, 89], Operations: []
Exploring Operation: 89-75=14, Resulting Numbers: [1, 25, 14]
Generated Node #0,0: 40:[1, 25, 14] Operation: 89-75=14
Exploring Operation: 75-25=50, Resulting Numbers: [1, 89, 50]
Generated Node #0,1: 40:[1, 89, 50] Operation: 75-25=50
Exploring Operation: 89-25=64, Resulting Numbers: [1, 75, 64]
Generated Node #0,2: 40:[1, 75, 64] Operation: 89-25=64
Exploring Operation: 75/25=3, Resulting Numbers: [1, 89, 3]
Generated Node #0,3: 40:[1, 89, 3] Operation: 75/25=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[1, 25, 14], Operations: ['89-75=14']
Exploring Operation: 14-1=13, Resulting Numbers: [25, 13]
Generated Node #0,0,0: 40:[25, 13] Operation: 14-1=13
Exploring Operation: 25-1=24, Resulting Numbers: [14, 24]
Generated Node #0,0,1: 40:[14, 24] Operation: 25-1=24
Exploring Operation: 25-14=11, Resulting Numbers: [1, 11]
Generated Node #0,0,2: 40:[1, 11] Operation: 25-14=11
Exploring Operation: 25+14=39, Resulting Numbers: [1, 39]
Generated Node #0,0,3: 40:[1, 39] Operation: 25+14=39
Moving to Node #0,0,2
Current State: 40:[1, 11], Operations: ['89-75=14', '25-14=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,40 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[1, 39], Operations: ['89-75=14', '25+14=39']
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[1, 25, 75, 89], Operations: []
Exploring Operation: 89-75=14, Resulting Numbers: [1, 25, 14]
Generated Node #0,0: 40:[1, 25, 14] Operation: 89-75=14
Moving to Node #0,0
Current State: 40:[1, 25, 14], Operations: ['89-75=14']
Exploring Operation: 25+14=39, Resulting Numbers: [1, 39]
Generated Node #0,0,3: 40:[1, 39] Operation: 25+14=39
Moving to Node #0,0,3
Current State: 40:[1, 39], Operations: ['89-75=14', '25+14=39']
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
54,
98,
99,
57
] | 65 | [
"57-54=3",
"99/3=33",
"98-33=65"
] | Current State: 65:[54, 98, 99, 57], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [98, 99, 3]
Generated Node #2: [98, 99, 3] from Operation: 57-54=3
Current State: 65:[98, 99, 3], Operations: ['57-54=3']
Exploring Operation: 99/3=33, Resulting Numbers: [98, 33]
Generated Node #3: [98, 33] from Operation: 99/3=33
Current State: 65:[98, 33], Operations: ['57-54=3', '99/3=33']
Exploring Operation: 98-33=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[54, 98, 99, 57], Operations: []
Exploring Operation: 99-54=45, Resulting Numbers: [98, 57, 45]
Generated Node #0,0: 65:[98, 57, 45] Operation: 99-54=45
Exploring Operation: 99-98=1, Resulting Numbers: [54, 57, 1]
Generated Node #0,1: 65:[54, 57, 1] Operation: 99-98=1
Moving to Node #0,1
Current State: 65:[54, 57, 1], Operations: ['99-98=1']
Exploring Operation: 54+1=55, Resulting Numbers: [57, 55]
Generated Node #0,1,0: 65:[57, 55] Operation: 54+1=55
Exploring Operation: 57-54=3, Resulting Numbers: [1, 3]
Generated Node #0,1,1: 65:[1, 3] Operation: 57-54=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[1, 3], Operations: ['99-98=1', '57-54=3']
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,65 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:[57, 55], Operations: ['99-98=1', '54+1=55']
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 65:[98, 57, 45], Operations: ['99-54=45']
Exploring Operation: 57-45=12, Resulting Numbers: [98, 12]
Generated Node #0,0,0: 65:[98, 12] Operation: 57-45=12
Exploring Operation: 98-45=53, Resulting Numbers: [57, 53]
Generated Node #0,0,1: 65:[57, 53] Operation: 98-45=53
Moving to Node #0,0,1
Current State: 65:[57, 53], Operations: ['99-54=45', '98-45=53']
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[98, 12], Operations: ['99-54=45', '57-45=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,65 unequal: No Solution
Exploring Operation: 98+12=110, Resulting Numbers: [110]
110,65 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
54,
54,
85,
72
] | 63 | [
"54*85=4590",
"4590-54=4536",
"4536/72=63"
] | Current State: 63:[54, 54, 85, 72], Operations: []
Exploring Operation: 54*85=4590, Resulting Numbers: [72, 4590]
Generated Node #2: [72, 4590] from Operation: 54*85=4590
Current State: 63:[72, 4590], Operations: ['54*85=4590']
Exploring Operation: 4590-54=4536, Resulting Numbers: [72, 4536]
Generated Node #3: [72, 4536] from Operation: 4590-54=4536
Current State: 63:[72, 4536], Operations: ['54*85=4590', '4590-54=4536']
Exploring Operation: 4536/72=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[54, 54, 85, 72], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [54, 54, 13]
Generated Node #0,0: 63:[54, 54, 13] Operation: 85-72=13
Moving to Node #0,0
Current State: 63:[54, 54, 13], Operations: ['85-72=13']
Exploring Operation: 54/54=1, Resulting Numbers: [13, 1]
Generated Node #0,0,0: 63:[13, 1] Operation: 54/54=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[13, 1], Operations: ['85-72=13', '54/54=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
7,
49,
82
] | 46 | [
"7+49=56",
"82+56=138",
"138/3=46"
] | Current State: 46:[3, 7, 49, 82], Operations: []
Exploring Operation: 7+49=56, Resulting Numbers: [3, 82, 56]
Generated Node #2: [3, 82, 56] from Operation: 7+49=56
Current State: 46:[3, 82, 56], Operations: ['7+49=56']
Exploring Operation: 82+56=138, Resulting Numbers: [3, 138]
Generated Node #3: [3, 138] from Operation: 82+56=138
Current State: 46:[3, 138], Operations: ['7+49=56', '82+56=138']
Exploring Operation: 138/3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[3, 7, 49, 82], Operations: []
Exploring Operation: 82-49=33, Resulting Numbers: [3, 7, 33]
Generated Node #0,0: 46:[3, 7, 33] Operation: 82-49=33
Moving to Node #0,0
Current State: 46:[3, 7, 33], Operations: ['82-49=33']
Exploring Operation: 33-7=26, Resulting Numbers: [3, 26]
Generated Node #0,0,0: 46:[3, 26] Operation: 33-7=26
Moving to Node #0,0,0
Current State: 46:[3, 26], Operations: ['82-49=33', '33-7=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
53,
57,
96
] | 36 | [
"57-53=4",
"15*4=60",
"96-60=36"
] | Current State: 36:[15, 53, 57, 96], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [15, 96, 4]
Generated Node #2: [15, 96, 4] from Operation: 57-53=4
Current State: 36:[15, 96, 4], Operations: ['57-53=4']
Exploring Operation: 15*4=60, Resulting Numbers: [96, 60]
Generated Node #3: [96, 60] from Operation: 15*4=60
Current State: 36:[96, 60], Operations: ['57-53=4', '15*4=60']
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[15, 53, 57, 96], Operations: []
Exploring Operation: 96-57=39, Resulting Numbers: [15, 53, 39]
Generated Node #0,0: 36:[15, 53, 39] Operation: 96-57=39
Moving to Node #0,0
Current State: 36:[15, 53, 39], Operations: ['96-57=39']
Exploring Operation: 53-15=38, Resulting Numbers: [39, 38]
Generated Node #0,0,0: 36:[39, 38] Operation: 53-15=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[39, 38], Operations: ['96-57=39', '53-15=38']
Exploring Operation: 39-38=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
50,
61,
34,
59
] | 14 | [
"61-50=11",
"59-34=25",
"25-11=14"
] | Current State: 14:[50, 61, 34, 59], Operations: []
Exploring Operation: 61-50=11, Resulting Numbers: [34, 59, 11]
Generated Node #2: [34, 59, 11] from Operation: 61-50=11
Current State: 14:[34, 59, 11], Operations: ['61-50=11']
Exploring Operation: 59-34=25, Resulting Numbers: [11, 25]
Generated Node #3: [11, 25] from Operation: 59-34=25
Current State: 14:[11, 25], Operations: ['61-50=11', '59-34=25']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[50, 61, 34, 59], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [50, 59, 27]
Generated Node #0,0: 14:[50, 59, 27] Operation: 61-34=27
Exploring Operation: 61-59=2, Resulting Numbers: [50, 34, 2]
Generated Node #0,1: 14:[50, 34, 2] Operation: 61-59=2
Exploring Operation: 61-50=11, Resulting Numbers: [34, 59, 11]
Generated Node #0,2: 14:[34, 59, 11] Operation: 61-50=11
Exploring Operation: 59-50=9, Resulting Numbers: [61, 34, 9]
Generated Node #0,3: 14:[61, 34, 9] Operation: 59-50=9
Exploring Operation: 50-34=16, Resulting Numbers: [61, 59, 16]
Generated Node #0,4: 14:[61, 59, 16] Operation: 50-34=16
Moving to Node #0,1
Current State: 14:[50, 34, 2], Operations: ['61-59=2']
Exploring Operation: 34/2=17, Resulting Numbers: [50, 17]
Generated Node #0,1,0: 14:[50, 17] Operation: 34/2=17
Exploring Operation: 50-34=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 14:[2, 16] Operation: 50-34=16
Exploring Operation: 50/2=25, Resulting Numbers: [34, 25]
Generated Node #0,1,2: 14:[34, 25] Operation: 50/2=25
Exploring Operation: 34-2=32, Resulting Numbers: [50, 32]
Generated Node #0,1,3: 14:[50, 32] Operation: 34-2=32
Exploring Operation: 50-2=48, Resulting Numbers: [34, 48]
Generated Node #0,1,4: 14:[34, 48] Operation: 50-2=48
Moving to Node #0,2
Current State: 14:[34, 59, 11], Operations: ['61-50=11']
Exploring Operation: 59-11=48, Resulting Numbers: [34, 48]
Generated Node #0,2,0: 14:[34, 48] Operation: 59-11=48
Exploring Operation: 59-34=25, Resulting Numbers: [11, 25]
Generated Node #0,2,1: 14:[11, 25] Operation: 59-34=25
Exploring Operation: 59+11=70, Resulting Numbers: [34, 70]
Generated Node #0,2,2: 14:[34, 70] Operation: 59+11=70
Exploring Operation: 34-11=23, Resulting Numbers: [59, 23]
Generated Node #0,2,3: 14:[59, 23] Operation: 34-11=23
Exploring Operation: 34+11=45, Resulting Numbers: [59, 45]
Generated Node #0,2,4: 14:[59, 45] Operation: 34+11=45
Moving to Node #0,3
Current State: 14:[61, 34, 9], Operations: ['59-50=9']
Exploring Operation: 61-9=52, Resulting Numbers: [34, 52]
Generated Node #0,3,0: 14:[34, 52] Operation: 61-9=52
Exploring Operation: 61+9=70, Resulting Numbers: [34, 70]
Generated Node #0,3,1: 14:[34, 70] Operation: 61+9=70
Exploring Operation: 34+9=43, Resulting Numbers: [61, 43]
Generated Node #0,3,2: 14:[61, 43] Operation: 34+9=43
Exploring Operation: 61-34=27, Resulting Numbers: [9, 27]
Generated Node #0,3,3: 14:[9, 27] Operation: 61-34=27
Exploring Operation: 34-9=25, Resulting Numbers: [61, 25]
Generated Node #0,3,4: 14:[61, 25] Operation: 34-9=25
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[9, 27], Operations: ['59-50=9', '61-34=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,14 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 14:[34, 52], Operations: ['59-50=9', '61-9=52']
Exploring Operation: 34*52=1768, Resulting Numbers: [1768]
1768,14 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 14:[61, 25], Operations: ['59-50=9', '34-9=25']
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 61*25=1525, Resulting Numbers: [1525]
1525,14 unequal: No Solution
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 14:[34, 70], Operations: ['59-50=9', '61+9=70']
Exploring Operation: 34+70=104, Resulting Numbers: [104]
104,14 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 34*70=2380, Resulting Numbers: [2380]
2380,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 14:[61, 43], Operations: ['59-50=9', '34+9=43']
Exploring Operation: 61+43=104, Resulting Numbers: [104]
104,14 unequal: No Solution
Exploring Operation: 61*43=2623, Resulting Numbers: [2623]
2623,14 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 14:[50, 59, 27], Operations: ['61-34=27']
Exploring Operation: 50-27=23, Resulting Numbers: [59, 23]
Generated Node #0,0,0: 14:[59, 23] Operation: 50-27=23
Exploring Operation: 50+27=77, Resulting Numbers: [59, 77]
Generated Node #0,0,1: 14:[59, 77] Operation: 50+27=77
Exploring Operation: 59-27=32, Resulting Numbers: [50, 32]
Generated Node #0,0,2: 14:[50, 32] Operation: 59-27=32
Exploring Operation: 59-50=9, Resulting Numbers: [27, 9]
Generated Node #0,0,3: 14:[27, 9] Operation: 59-50=9
Exploring Operation: 50+59=109, Resulting Numbers: [27, 109]
Generated Node #0,0,4: 14:[27, 109] Operation: 50+59=109
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 14:[27, 9], Operations: ['61-34=27', '59-50=9']
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,14 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[59, 23], Operations: ['61-34=27', '50-27=23']
Exploring Operation: 59*23=1357, Resulting Numbers: [1357]
1357,14 unequal: No Solution
Exploring Operation: 59+23=82, Resulting Numbers: [82]
82,14 unequal: No Solution
Exploring Operation: 59-23=36, Resulting Numbers: [36]
36,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[50, 32], Operations: ['61-34=27', '59-27=32']
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,14 unequal: No Solution
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,14 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[59, 77], Operations: ['61-34=27', '50+27=77']
Exploring Operation: 59*77=4543, Resulting Numbers: [4543]
4543,14 unequal: No Solution
Exploring Operation: 77-59=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 59+77=136, Resulting Numbers: [136]
136,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 14:[27, 109], Operations: ['61-34=27', '50+59=109']
Exploring Operation: 27*109=2943, Resulting Numbers: [2943]
2943,14 unequal: No Solution
Exploring Operation: 109-27=82, Resulting Numbers: [82]
82,14 unequal: No Solution
Exploring Operation: 27+109=136, Resulting Numbers: [136]
136,14 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: 14:[61, 59, 16], Operations: ['50-34=16']
Exploring Operation: 61-59=2, Resulting Numbers: [16, 2]
Generated Node #0,4,0: 14:[16, 2] Operation: 61-59=2
Exploring Operation: 59-16=43, Resulting Numbers: [61, 43]
Generated Node #0,4,1: 14:[61, 43] Operation: 59-16=43
Exploring Operation: 61-16=45, Resulting Numbers: [59, 45]
Generated Node #0,4,2: 14:[59, 45] Operation: 61-16=45
Exploring Operation: 61+16=77, Resulting Numbers: [59, 77]
Generated Node #0,4,3: 14:[59, 77] Operation: 61+16=77
Exploring Operation: 61+59=120, Resulting Numbers: [16, 120]
Generated Node #0,4,4: 14:[16, 120] Operation: 61+59=120
Moving to Node #0,1,1
Current State: 14:[2, 16], Operations: ['61-59=2', '50-34=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,14 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[50, 61, 34, 59], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [50, 34, 2]
Generated Node #0,1: 14:[50, 34, 2] Operation: 61-59=2
Moving to Node #0,1
Current State: 14:[50, 34, 2], Operations: ['61-59=2']
Exploring Operation: 50-34=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 14:[2, 16] Operation: 50-34=16
Moving to Node #0,1,1
Current State: 14:[2, 16], Operations: ['61-59=2', '50-34=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.940104 | hs_5 | sum_heuristic |
[
39,
3,
63,
41
] | 63 | [
"39+3=42",
"42-41=1",
"63*1=63"
] | Current State: 63:[39, 3, 63, 41], Operations: []
Exploring Operation: 39+3=42, Resulting Numbers: [63, 41, 42]
Generated Node #2: [63, 41, 42] from Operation: 39+3=42
Current State: 63:[63, 41, 42], Operations: ['39+3=42']
Exploring Operation: 42-41=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 42-41=1
Current State: 63:[63, 1], Operations: ['39+3=42', '42-41=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[39, 3, 63, 41], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [3, 63, 2]
Generated Node #0,0: 63:[3, 63, 2] Operation: 41-39=2
Exploring Operation: 39+41=80, Resulting Numbers: [3, 63, 80]
Generated Node #0,1: 63:[3, 63, 80] Operation: 39+41=80
Moving to Node #0,0
Current State: 63:[3, 63, 2], Operations: ['41-39=2']
Exploring Operation: 63/3=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 63:[2, 21] Operation: 63/3=21
Exploring Operation: 3*2=6, Resulting Numbers: [63, 6]
Generated Node #0,0,1: 63:[63, 6] Operation: 3*2=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[2, 21], Operations: ['41-39=2', '63/3=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,63 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,63 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:[63, 6], Operations: ['41-39=2', '3*2=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 63:[3, 63, 80], Operations: ['39+41=80']
Exploring Operation: 80-3=77, Resulting Numbers: [63, 77]
Generated Node #0,1,0: 63:[63, 77] Operation: 80-3=77
Exploring Operation: 80-63=17, Resulting Numbers: [3, 17]
Generated Node #0,1,1: 63:[3, 17] Operation: 80-63=17
Moving to Node #0,1,1
Current State: 63:[3, 17], Operations: ['39+41=80', '80-63=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,63 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[63, 77], Operations: ['39+41=80', '80-3=77']
Exploring Operation: 63+77=140, Resulting Numbers: [140]
140,63 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,63 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
51,
48,
32,
6
] | 34 | [
"51-48=3",
"6/3=2",
"32+2=34"
] | Current State: 34:[51, 48, 32, 6], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [32, 6, 3]
Generated Node #2: [32, 6, 3] from Operation: 51-48=3
Current State: 34:[32, 6, 3], Operations: ['51-48=3']
Exploring Operation: 6/3=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 6/3=2
Current State: 34:[32, 2], Operations: ['51-48=3', '6/3=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[51, 48, 32, 6], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [51, 32, 8]
Generated Node #0,0: 34:[51, 32, 8] Operation: 48/6=8
Exploring Operation: 51-6=45, Resulting Numbers: [48, 32, 45]
Generated Node #0,1: 34:[48, 32, 45] Operation: 51-6=45
Exploring Operation: 51-32=19, Resulting Numbers: [48, 6, 19]
Generated Node #0,2: 34:[48, 6, 19] Operation: 51-32=19
Exploring Operation: 51-48=3, Resulting Numbers: [32, 6, 3]
Generated Node #0,3: 34:[32, 6, 3] Operation: 51-48=3
Exploring Operation: 48-32=16, Resulting Numbers: [51, 6, 16]
Generated Node #0,4: 34:[51, 6, 16] Operation: 48-32=16
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[32, 6, 3], Operations: ['51-48=3']
Exploring Operation: 6/3=2, Resulting Numbers: [32, 2]
Generated Node #0,3,0: 34:[32, 2] Operation: 6/3=2
Exploring Operation: 6-3=3, Resulting Numbers: [32, 3]
Generated Node #0,3,1: 34:[32, 3] Operation: 6-3=3
Exploring Operation: 32+6=38, Resulting Numbers: [3, 38]
Generated Node #0,3,2: 34:[3, 38] Operation: 32+6=38
Exploring Operation: 32+3=35, Resulting Numbers: [6, 35]
Generated Node #0,3,3: 34:[6, 35] Operation: 32+3=35
Exploring Operation: 6*3=18, Resulting Numbers: [32, 18]
Generated Node #0,3,4: 34:[32, 18] Operation: 6*3=18
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 34:[32, 2], Operations: ['51-48=3', '6/3=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[51, 48, 32, 6], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [32, 6, 3]
Generated Node #0,3: 34:[32, 6, 3] Operation: 51-48=3
Moving to Node #0,3
Current State: 34:[32, 6, 3], Operations: ['51-48=3']
Exploring Operation: 6/3=2, Resulting Numbers: [32, 2]
Generated Node #0,3,0: 34:[32, 2] Operation: 6/3=2
Moving to Node #0,3,0
Current State: 34:[32, 2], Operations: ['51-48=3', '6/3=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
3,
47,
42,
25
] | 54 | [
"3*42=126",
"47+25=72",
"126-72=54"
] | Current State: 54:[3, 47, 42, 25], Operations: []
Exploring Operation: 3*42=126, Resulting Numbers: [47, 25, 126]
Generated Node #2: [47, 25, 126] from Operation: 3*42=126
Current State: 54:[47, 25, 126], Operations: ['3*42=126']
Exploring Operation: 47+25=72, Resulting Numbers: [126, 72]
Generated Node #3: [126, 72] from Operation: 47+25=72
Current State: 54:[126, 72], Operations: ['3*42=126', '47+25=72']
Exploring Operation: 126-72=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[3, 47, 42, 25], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [3, 25, 5]
Generated Node #0,0: 54:[3, 25, 5] Operation: 47-42=5
Exploring Operation: 42-25=17, Resulting Numbers: [3, 47, 17]
Generated Node #0,1: 54:[3, 47, 17] Operation: 42-25=17
Moving to Node #0,0
Current State: 54:[3, 25, 5], Operations: ['47-42=5']
Exploring Operation: 25/5=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 54:[3, 5] Operation: 25/5=5
Exploring Operation: 3+25=28, Resulting Numbers: [5, 28]
Generated Node #0,0,1: 54:[5, 28] Operation: 3+25=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[3, 5], Operations: ['47-42=5', '25/5=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[5, 28], Operations: ['47-42=5', '3+25=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,54 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,54 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: 54:[3, 47, 17], Operations: ['42-25=17']
Exploring Operation: 47-17=30, Resulting Numbers: [3, 30]
Generated Node #0,1,0: 54:[3, 30] Operation: 47-17=30
Exploring Operation: 3+47=50, Resulting Numbers: [17, 50]
Generated Node #0,1,1: 54:[17, 50] Operation: 3+47=50
Moving to Node #0,1,0
Current State: 54:[3, 30], Operations: ['42-25=17', '47-17=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[17, 50], Operations: ['42-25=17', '3+47=50']
Exploring Operation: 50-17=33, Resulting Numbers: [33]
33,54 unequal: No Solution
Exploring Operation: 17+50=67, Resulting Numbers: [67]
67,54 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
78,
10,
54,
76
] | 74 | [
"78-76=2",
"10*2=20",
"54+20=74"
] | Current State: 74:[78, 10, 54, 76], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [10, 54, 2]
Generated Node #2: [10, 54, 2] from Operation: 78-76=2
Current State: 74:[10, 54, 2], Operations: ['78-76=2']
Exploring Operation: 10*2=20, Resulting Numbers: [54, 20]
Generated Node #3: [54, 20] from Operation: 10*2=20
Current State: 74:[54, 20], Operations: ['78-76=2', '10*2=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[78, 10, 54, 76], Operations: []
Exploring Operation: 78-10=68, Resulting Numbers: [54, 76, 68]
Generated Node #0,0: 74:[54, 76, 68] Operation: 78-10=68
Exploring Operation: 78-54=24, Resulting Numbers: [10, 76, 24]
Generated Node #0,1: 74:[10, 76, 24] Operation: 78-54=24
Exploring Operation: 54-10=44, Resulting Numbers: [78, 76, 44]
Generated Node #0,2: 74:[78, 76, 44] Operation: 54-10=44
Exploring Operation: 10+54=64, Resulting Numbers: [78, 76, 64]
Generated Node #0,3: 74:[78, 76, 64] Operation: 10+54=64
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[78, 76, 44], Operations: ['54-10=44']
Exploring Operation: 78-44=34, Resulting Numbers: [76, 34]
Generated Node #0,2,0: 74:[76, 34] Operation: 78-44=34
Exploring Operation: 78-76=2, Resulting Numbers: [44, 2]
Generated Node #0,2,1: 74:[44, 2] Operation: 78-76=2
Exploring Operation: 76-44=32, Resulting Numbers: [78, 32]
Generated Node #0,2,2: 74:[78, 32] Operation: 76-44=32
Exploring Operation: 78+44=122, Resulting Numbers: [76, 122]
Generated Node #0,2,3: 74:[76, 122] Operation: 78+44=122
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 74:[76, 34], Operations: ['54-10=44', '78-44=34']
Exploring Operation: 76*34=2584, Resulting Numbers: [2584]
2584,74 unequal: No Solution
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 76+34=110, Resulting Numbers: [110]
110,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 74:[44, 2], Operations: ['54-10=44', '78-76=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 74:[78, 32], Operations: ['54-10=44', '76-44=32']
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,74 unequal: No Solution
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 74:[76, 122], Operations: ['54-10=44', '78+44=122']
Exploring Operation: 76+122=198, Resulting Numbers: [198]
198,74 unequal: No Solution
Exploring Operation: 76*122=9272, Resulting Numbers: [9272]
9272,74 unequal: No Solution
Exploring Operation: 122-76=46, Resulting Numbers: [46]
46,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[78, 76, 64], Operations: ['10+54=64']
Exploring Operation: 78-76=2, Resulting Numbers: [64, 2]
Generated Node #0,3,0: 74:[64, 2] Operation: 78-76=2
Exploring Operation: 78-64=14, Resulting Numbers: [76, 14]
Generated Node #0,3,1: 74:[76, 14] Operation: 78-64=14
Exploring Operation: 78+64=142, Resulting Numbers: [76, 142]
Generated Node #0,3,2: 74:[76, 142] Operation: 78+64=142
Exploring Operation: 76-64=12, Resulting Numbers: [78, 12]
Generated Node #0,3,3: 74:[78, 12] Operation: 76-64=12
Moving to Node #0,3,0
Current State: 74:[64, 2], Operations: ['10+54=64', '78-76=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,74 unequal: No Solution
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,74 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Moving to Node #0,3,3
Current State: 74:[78, 12], Operations: ['10+54=64', '76-64=12']
Exploring Operation: 78*12=936, Resulting Numbers: [936]
936,74 unequal: No Solution
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Moving to Node #0,3,1
Current State: 74:[76, 14], Operations: ['10+54=64', '78-64=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,74 unequal: No Solution
Moving to Node #0,3,2
Current State: 74:[76, 142], Operations: ['10+54=64', '78+64=142']
Exploring Operation: 142-76=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 76*142=10792, Resulting Numbers: [10792]
10792,74 unequal: No Solution
Exploring Operation: 76+142=218, Resulting Numbers: [218]
218,74 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
Current State: 74:[10, 76, 24], Operations: ['78-54=24']
Exploring Operation: 24-10=14, Resulting Numbers: [76, 14]
Generated Node #0,1,0: 74:[76, 14] Operation: 24-10=14
Exploring Operation: 10+24=34, Resulting Numbers: [76, 34]
Generated Node #0,1,1: 74:[76, 34] Operation: 10+24=34
Exploring Operation: 76-10=66, Resulting Numbers: [24, 66]
Generated Node #0,1,2: 74:[24, 66] Operation: 76-10=66
Exploring Operation: 76-24=52, Resulting Numbers: [10, 52]
Generated Node #0,1,3: 74:[10, 52] Operation: 76-24=52
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[76, 34], Operations: ['78-54=24', '10+24=34']
Exploring Operation: 76*34=2584, Resulting Numbers: [2584]
2584,74 unequal: No Solution
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 76+34=110, Resulting Numbers: [110]
110,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[76, 14], Operations: ['78-54=24', '24-10=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,74 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 74:[24, 66], Operations: ['78-54=24', '76-10=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 24*66=1584, Resulting Numbers: [1584]
1584,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 74:[10, 52], Operations: ['78-54=24', '76-24=52']
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 10*52=520, Resulting Numbers: [520]
520,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[54, 76, 68], Operations: ['78-10=68']
Exploring Operation: 76-68=8, Resulting Numbers: [54, 8]
Generated Node #0,0,0: 74:[54, 8] Operation: 76-68=8
Exploring Operation: 76-54=22, Resulting Numbers: [68, 22]
Generated Node #0,0,1: 74:[68, 22] Operation: 76-54=22
Exploring Operation: 68-54=14, Resulting Numbers: [76, 14]
Generated Node #0,0,2: 74:[76, 14] Operation: 68-54=14
Exploring Operation: 54+68=122, Resulting Numbers: [76, 122]
Generated Node #0,0,3: 74:[76, 122] Operation: 54+68=122
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[76, 14], Operations: ['78-10=68', '68-54=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[68, 22], Operations: ['78-10=68', '76-54=22']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,74 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[54, 8], Operations: ['78-10=68', '76-68=8']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Exploring Operation: 54*8=432, Resulting Numbers: [432]
432,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[76, 122], Operations: ['78-10=68', '54+68=122']
Exploring Operation: 122-76=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 76+122=198, Resulting Numbers: [198]
198,74 unequal: No Solution
Exploring Operation: 76*122=9272, Resulting Numbers: [9272]
9272,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
59,
14,
38,
26
] | 70 | [
"59-38=21",
"26-21=5",
"14*5=70"
] | Current State: 70:[59, 14, 38, 26], Operations: []
Exploring Operation: 59-38=21, Resulting Numbers: [14, 26, 21]
Generated Node #2: [14, 26, 21] from Operation: 59-38=21
Current State: 70:[14, 26, 21], Operations: ['59-38=21']
Exploring Operation: 26-21=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 26-21=5
Current State: 70:[14, 5], Operations: ['59-38=21', '26-21=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[59, 14, 38, 26], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [14, 38, 33]
Generated Node #0,0: 70:[14, 38, 33] Operation: 59-26=33
Exploring Operation: 59+14=73, Resulting Numbers: [38, 26, 73]
Generated Node #0,1: 70:[38, 26, 73] Operation: 59+14=73
Exploring Operation: 38-26=12, Resulting Numbers: [59, 14, 12]
Generated Node #0,2: 70:[59, 14, 12] Operation: 38-26=12
Moving to Node #0,0
Current State: 70:[14, 38, 33], Operations: ['59-26=33']
Exploring Operation: 38-33=5, Resulting Numbers: [14, 5]
Generated Node #0,0,0: 70:[14, 5] Operation: 38-33=5
Exploring Operation: 33-14=19, Resulting Numbers: [38, 19]
Generated Node #0,0,1: 70:[38, 19] Operation: 33-14=19
Exploring Operation: 38+33=71, Resulting Numbers: [14, 71]
Generated Node #0,0,2: 70:[14, 71] Operation: 38+33=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[14, 5], Operations: ['59-26=33', '38-33=5']
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[59, 14, 38, 26], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [14, 38, 33]
Generated Node #0,0: 70:[14, 38, 33] Operation: 59-26=33
Moving to Node #0,0
Current State: 70:[14, 38, 33], Operations: ['59-26=33']
Exploring Operation: 38-33=5, Resulting Numbers: [14, 5]
Generated Node #0,0,0: 70:[14, 5] Operation: 38-33=5
Moving to Node #0,0,0
Current State: 70:[14, 5], Operations: ['59-26=33', '38-33=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
19,
13,
85,
36
] | 79 | [
"19-13=6",
"36/6=6",
"85-6=79"
] | Current State: 79:[19, 13, 85, 36], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [85, 36, 6]
Generated Node #2: [85, 36, 6] from Operation: 19-13=6
Current State: 79:[85, 36, 6], Operations: ['19-13=6']
Exploring Operation: 36/6=6, Resulting Numbers: [85, 6]
Generated Node #3: [85, 6] from Operation: 36/6=6
Current State: 79:[85, 6], Operations: ['19-13=6', '36/6=6']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[19, 13, 85, 36], Operations: []
Exploring Operation: 19+36=55, Resulting Numbers: [13, 85, 55]
Generated Node #0,0: 79:[13, 85, 55] Operation: 19+36=55
Exploring Operation: 19+13=32, Resulting Numbers: [85, 36, 32]
Generated Node #0,1: 79:[85, 36, 32] Operation: 19+13=32
Exploring Operation: 13+36=49, Resulting Numbers: [19, 85, 49]
Generated Node #0,2: 79:[19, 85, 49] Operation: 13+36=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[13, 85, 55], Operations: ['19+36=55']
Exploring Operation: 13+55=68, Resulting Numbers: [85, 68]
Generated Node #0,0,0: 79:[85, 68] Operation: 13+55=68
Exploring Operation: 13+85=98, Resulting Numbers: [55, 98]
Generated Node #0,0,1: 79:[55, 98] Operation: 13+85=98
Exploring Operation: 85-13=72, Resulting Numbers: [55, 72]
Generated Node #0,0,2: 79:[55, 72] Operation: 85-13=72
Moving to Node #0,0,0
Current State: 79:[85, 68], Operations: ['19+36=55', '13+55=68']
Exploring Operation: 85+68=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Exploring Operation: 85*68=5780, Resulting Numbers: [5780]
5780,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[55, 72], Operations: ['19+36=55', '85-13=72']
Exploring Operation: 55*72=3960, Resulting Numbers: [3960]
3960,79 unequal: No Solution
Exploring Operation: 55+72=127, Resulting Numbers: [127]
127,79 unequal: No Solution
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[55, 98], Operations: ['19+36=55', '13+85=98']
Exploring Operation: 55*98=5390, Resulting Numbers: [5390]
5390,79 unequal: No Solution
Exploring Operation: 55+98=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 98-55=43, Resulting Numbers: [43]
43,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[85, 36, 32], Operations: ['19+13=32']
Exploring Operation: 85-32=53, Resulting Numbers: [36, 53]
Generated Node #0,1,0: 79:[36, 53] Operation: 85-32=53
Exploring Operation: 36+32=68, Resulting Numbers: [85, 68]
Generated Node #0,1,1: 79:[85, 68] Operation: 36+32=68
Exploring Operation: 85-36=49, Resulting Numbers: [32, 49]
Generated Node #0,1,2: 79:[32, 49] Operation: 85-36=49
Moving to Node #0,1,1
Current State: 79:[85, 68], Operations: ['19+13=32', '36+32=68']
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Exploring Operation: 85+68=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 85*68=5780, Resulting Numbers: [5780]
5780,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[36, 53], Operations: ['19+13=32', '85-32=53']
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Exploring Operation: 36*53=1908, Resulting Numbers: [1908]
1908,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[32, 49], Operations: ['19+13=32', '85-36=49']
Exploring Operation: 32*49=1568, Resulting Numbers: [1568]
1568,79 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[19, 85, 49], Operations: ['13+36=49']
Exploring Operation: 85-19=66, Resulting Numbers: [49, 66]
Generated Node #0,2,0: 79:[49, 66] Operation: 85-19=66
Exploring Operation: 19+49=68, Resulting Numbers: [85, 68]
Generated Node #0,2,1: 79:[85, 68] Operation: 19+49=68
Exploring Operation: 19+85=104, Resulting Numbers: [49, 104]
Generated Node #0,2,2: 79:[49, 104] Operation: 19+85=104
Moving to Node #0,2,1
Current State: 79:[85, 68], Operations: ['13+36=49', '19+49=68']
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Exploring Operation: 85+68=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 85*68=5780, Resulting Numbers: [5780]
5780,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[49, 66], Operations: ['13+36=49', '85-19=66']
Exploring Operation: 49*66=3234, Resulting Numbers: [3234]
3234,79 unequal: No Solution
Exploring Operation: 49+66=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[49, 104], Operations: ['13+36=49', '19+85=104']
Exploring Operation: 104-49=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 49*104=5096, Resulting Numbers: [5096]
5096,79 unequal: No Solution
Exploring Operation: 49+104=153, Resulting Numbers: [153]
153,79 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 |
[
7,
41,
40,
27
] | 43 | [
"27-7=20",
"40/20=2",
"41+2=43"
] | Current State: 43:[7, 41, 40, 27], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [41, 40, 20]
Generated Node #2: [41, 40, 20] from Operation: 27-7=20
Current State: 43:[41, 40, 20], Operations: ['27-7=20']
Exploring Operation: 40/20=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 40/20=2
Current State: 43:[41, 2], Operations: ['27-7=20', '40/20=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[7, 41, 40, 27], Operations: []
Exploring Operation: 7+27=34, Resulting Numbers: [41, 40, 34]
Generated Node #0,0: 43:[41, 40, 34] Operation: 7+27=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[41, 40, 34], Operations: ['7+27=34']
Exploring Operation: 40+34=74, Resulting Numbers: [41, 74]
Generated Node #0,0,0: 43:[41, 74] Operation: 40+34=74
Moving to Node #0,0,0
Current State: 43:[41, 74], Operations: ['7+27=34', '40+34=74']
Exploring Operation: 74-41=33, Resulting Numbers: [33]
33,43 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 |
[
37,
32,
35,
4
] | 10 | [
"37-32=5",
"35+5=40",
"40/4=10"
] | Current State: 10:[37, 32, 35, 4], Operations: []
Exploring Operation: 37-32=5, Resulting Numbers: [35, 4, 5]
Generated Node #2: [35, 4, 5] from Operation: 37-32=5
Current State: 10:[35, 4, 5], Operations: ['37-32=5']
Exploring Operation: 35+5=40, Resulting Numbers: [4, 40]
Generated Node #3: [4, 40] from Operation: 35+5=40
Current State: 10:[4, 40], Operations: ['37-32=5', '35+5=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[37, 32, 35, 4], Operations: []
Exploring Operation: 37-32=5, Resulting Numbers: [35, 4, 5]
Generated Node #0,0: 10:[35, 4, 5] Operation: 37-32=5
Exploring Operation: 35-32=3, Resulting Numbers: [37, 4, 3]
Generated Node #0,1: 10:[37, 4, 3] Operation: 35-32=3
Exploring Operation: 37-35=2, Resulting Numbers: [32, 4, 2]
Generated Node #0,2: 10:[32, 4, 2] Operation: 37-35=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[32, 4, 2], Operations: ['37-35=2']
Exploring Operation: 32/4=8, Resulting Numbers: [2, 8]
Generated Node #0,2,0: 10:[2, 8] Operation: 32/4=8
Exploring Operation: 32/2=16, Resulting Numbers: [4, 16]
Generated Node #0,2,1: 10:[4, 16] Operation: 32/2=16
Exploring Operation: 32-4=28, Resulting Numbers: [2, 28]
Generated Node #0,2,2: 10:[2, 28] Operation: 32-4=28
Moving to Node #0,2,0
Current State: 10:[2, 8], Operations: ['37-35=2', '32/4=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[37, 32, 35, 4], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [32, 4, 2]
Generated Node #0,2: 10:[32, 4, 2] Operation: 37-35=2
Moving to Node #0,2
Current State: 10:[32, 4, 2], Operations: ['37-35=2']
Exploring Operation: 32/4=8, Resulting Numbers: [2, 8]
Generated Node #0,2,0: 10:[2, 8] Operation: 32/4=8
Moving to Node #0,2,0
Current State: 10:[2, 8], Operations: ['37-35=2', '32/4=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
56,
24,
32,
40
] | 34 | [
"56+24=80",
"80/40=2",
"32+2=34"
] | Current State: 34:[56, 24, 32, 40], Operations: []
Exploring Operation: 56+24=80, Resulting Numbers: [32, 40, 80]
Generated Node #2: [32, 40, 80] from Operation: 56+24=80
Current State: 34:[32, 40, 80], Operations: ['56+24=80']
Exploring Operation: 80/40=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 80/40=2
Current State: 34:[32, 2], Operations: ['56+24=80', '80/40=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[56, 24, 32, 40], Operations: []
Exploring Operation: 56-40=16, Resulting Numbers: [24, 32, 16]
Generated Node #0,0: 34:[24, 32, 16] Operation: 56-40=16
Exploring Operation: 56-32=24, Resulting Numbers: [24, 40, 24]
Generated Node #0,1: 34:[24, 40, 24] Operation: 56-32=24
Exploring Operation: 56-24=32, Resulting Numbers: [32, 40, 32]
Generated Node #0,2: 34:[32, 40, 32] Operation: 56-24=32
Moving to Node #0,0
Current State: 34:[24, 32, 16], Operations: ['56-40=16']
Exploring Operation: 32/16=2, Resulting Numbers: [24, 2]
Generated Node #0,0,0: 34:[24, 2] Operation: 32/16=2
Exploring Operation: 32-24=8, Resulting Numbers: [16, 8]
Generated Node #0,0,1: 34:[16, 8] Operation: 32-24=8
Exploring Operation: 24+16=40, Resulting Numbers: [32, 40]
Generated Node #0,0,2: 34:[32, 40] Operation: 24+16=40
Moving to Node #0,2
Current State: 34:[32, 40, 32], Operations: ['56-24=32']
Exploring Operation: 40-32=8, Resulting Numbers: [32, 8]
Generated Node #0,2,0: 34:[32, 8] Operation: 40-32=8
Exploring Operation: 32-32=0, Resulting Numbers: [40, 0]
Generated Node #0,2,1: 34:[40, 0] Operation: 32-32=0
Exploring Operation: 32/32=1, Resulting Numbers: [40, 1]
Generated Node #0,2,2: 34:[40, 1] Operation: 32/32=1
Moving to Node #0,1
Current State: 34:[24, 40, 24], Operations: ['56-32=24']
Exploring Operation: 24-24=0, Resulting Numbers: [40, 0]
Generated Node #0,1,0: 34:[40, 0] Operation: 24-24=0
Exploring Operation: 24/24=1, Resulting Numbers: [40, 1]
Generated Node #0,1,1: 34:[40, 1] Operation: 24/24=1
Exploring Operation: 40-24=16, Resulting Numbers: [24, 16]
Generated Node #0,1,2: 34:[24, 16] Operation: 40-24=16
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[40, 1], Operations: ['56-32=24', '24/24=1']
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,34 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:[40, 0], Operations: ['56-32=24', '24-24=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 40*0=0, Resulting Numbers: [0]
0,34 unequal: No Solution
Exploring Operation: 40-0=40, Resulting Numbers: [40]
40,34 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:[24, 16], Operations: ['56-32=24', '40-24=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,34 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,34 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: 34:[24, 2], Operations: ['56-40=16', '32/16=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,34 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[16, 8], Operations: ['56-40=16', '32-24=8']
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,34 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[40, 1], Operations: ['56-24=32', '32/32=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[32, 40], Operations: ['56-40=16', '24+16=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,34 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,34 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[40, 0], Operations: ['56-24=32', '32-32=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 40-0=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 40*0=0, Resulting Numbers: [0]
0,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[32, 8], Operations: ['56-24=32', '40-32=8']
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,34 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,34 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
81,
9,
58,
65
] | 79 | [
"81-9=72",
"65-58=7",
"72+7=79"
] | Current State: 79:[81, 9, 58, 65], Operations: []
Exploring Operation: 81-9=72, Resulting Numbers: [58, 65, 72]
Generated Node #2: [58, 65, 72] from Operation: 81-9=72
Current State: 79:[58, 65, 72], Operations: ['81-9=72']
Exploring Operation: 65-58=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 65-58=7
Current State: 79:[72, 7], Operations: ['81-9=72', '65-58=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[81, 9, 58, 65], Operations: []
Exploring Operation: 9+58=67, Resulting Numbers: [81, 65, 67]
Generated Node #0,0: 79:[81, 65, 67] Operation: 9+58=67
Exploring Operation: 81-9=72, Resulting Numbers: [58, 65, 72]
Generated Node #0,1: 79:[58, 65, 72] Operation: 81-9=72
Exploring Operation: 9+65=74, Resulting Numbers: [81, 58, 74]
Generated Node #0,2: 79:[81, 58, 74] Operation: 9+65=74
Moving to Node #0,0
Current State: 79:[81, 65, 67], Operations: ['9+58=67']
Exploring Operation: 81+65=146, Resulting Numbers: [67, 146]
Generated Node #0,0,0: 79:[67, 146] Operation: 81+65=146
Exploring Operation: 65+67=132, Resulting Numbers: [81, 132]
Generated Node #0,0,1: 79:[81, 132] Operation: 65+67=132
Exploring Operation: 81-65=16, Resulting Numbers: [67, 16]
Generated Node #0,0,2: 79:[67, 16] Operation: 81-65=16
Moving to Node #0,2
Current State: 79:[81, 58, 74], Operations: ['9+65=74']
Exploring Operation: 81-58=23, Resulting Numbers: [74, 23]
Generated Node #0,2,0: 79:[74, 23] Operation: 81-58=23
Exploring Operation: 81+58=139, Resulting Numbers: [74, 139]
Generated Node #0,2,1: 79:[74, 139] Operation: 81+58=139
Exploring Operation: 58+74=132, Resulting Numbers: [81, 132]
Generated Node #0,2,2: 79:[81, 132] Operation: 58+74=132
Moving to Node #0,1
Current State: 79:[58, 65, 72], Operations: ['81-9=72']
Exploring Operation: 65-58=7, Resulting Numbers: [72, 7]
Generated Node #0,1,0: 79:[72, 7] Operation: 65-58=7
Exploring Operation: 58+65=123, Resulting Numbers: [72, 123]
Generated Node #0,1,1: 79:[72, 123] Operation: 58+65=123
Exploring Operation: 58+72=130, Resulting Numbers: [65, 130]
Generated Node #0,1,2: 79:[65, 130] Operation: 58+72=130
Moving to Node #0,1,1
Current State: 79:[72, 123], Operations: ['81-9=72', '58+65=123']
Exploring Operation: 72*123=8856, Resulting Numbers: [8856]
8856,79 unequal: No Solution
Exploring Operation: 123-72=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Exploring Operation: 72+123=195, Resulting Numbers: [195]
195,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[81, 132], Operations: ['9+58=67', '65+67=132']
Exploring Operation: 81+132=213, Resulting Numbers: [213]
213,79 unequal: No Solution
Exploring Operation: 81*132=10692, Resulting Numbers: [10692]
10692,79 unequal: No Solution
Exploring Operation: 132-81=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[81, 132], Operations: ['9+65=74', '58+74=132']
Exploring Operation: 81+132=213, Resulting Numbers: [213]
213,79 unequal: No Solution
Exploring Operation: 132-81=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Exploring Operation: 81*132=10692, Resulting Numbers: [10692]
10692,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[74, 23], Operations: ['9+65=74', '81-58=23']
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,79 unequal: No Solution
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Exploring Operation: 74*23=1702, Resulting Numbers: [1702]
1702,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[74, 139], Operations: ['9+65=74', '81+58=139']
Exploring Operation: 74+139=213, Resulting Numbers: [213]
213,79 unequal: No Solution
Exploring Operation: 74*139=10286, Resulting Numbers: [10286]
10286,79 unequal: No Solution
Exploring Operation: 139-74=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[65, 130], Operations: ['81-9=72', '58+72=130']
Exploring Operation: 130/65=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 65+130=195, Resulting Numbers: [195]
195,79 unequal: No Solution
Exploring Operation: 130-65=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[67, 16], Operations: ['9+58=67', '81-65=16']
Exploring Operation: 67+16=83, Resulting Numbers: [83]
83,79 unequal: No Solution
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Exploring Operation: 67*16=1072, Resulting Numbers: [1072]
1072,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[72, 7], Operations: ['81-9=72', '65-58=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[81, 9, 58, 65], Operations: []
Exploring Operation: 81-9=72, Resulting Numbers: [58, 65, 72]
Generated Node #0,1: 79:[58, 65, 72] Operation: 81-9=72
Moving to Node #0,1
Current State: 79:[58, 65, 72], Operations: ['81-9=72']
Exploring Operation: 65-58=7, Resulting Numbers: [72, 7]
Generated Node #0,1,0: 79:[72, 7] Operation: 65-58=7
Moving to Node #0,1,0
Current State: 79:[72, 7], Operations: ['81-9=72', '65-58=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 0.967014 | hs_3 | mult_heuristic |
[
22,
92,
99,
70
] | 99 | [
"92-22=70",
"99+70=169",
"169-70=99"
] | Current State: 99:[22, 92, 99, 70], Operations: []
Exploring Operation: 92-22=70, Resulting Numbers: [99, 70, 70]
Generated Node #2: [99, 70, 70] from Operation: 92-22=70
Current State: 99:[99, 70, 70], Operations: ['92-22=70']
Exploring Operation: 99+70=169, Resulting Numbers: [169]
169,99 equal: Goal Reached
Exploring Operation: 169-70=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[22, 92, 99, 70], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [22, 92, 29]
Generated Node #0,0: 99:[22, 92, 29] Operation: 99-70=29
Exploring Operation: 99-92=7, Resulting Numbers: [22, 70, 7]
Generated Node #0,1: 99:[22, 70, 7] Operation: 99-92=7
Exploring Operation: 92-70=22, Resulting Numbers: [22, 99, 22]
Generated Node #0,2: 99:[22, 99, 22] Operation: 92-70=22
Exploring Operation: 70-22=48, Resulting Numbers: [92, 99, 48]
Generated Node #0,3: 99:[92, 99, 48] Operation: 70-22=48
Exploring Operation: 22+70=92, Resulting Numbers: [92, 99, 92]
Generated Node #0,4: 99:[92, 99, 92] Operation: 22+70=92
Moving to Node #0,4
Current State: 99:[92, 99, 92], Operations: ['22+70=92']
Exploring Operation: 99-92=7, Resulting Numbers: [92, 7]
Generated Node #0,4,0: 99:[92, 7] Operation: 99-92=7
Exploring Operation: 92-92=0, Resulting Numbers: [99, 0]
Generated Node #0,4,1: 99:[99, 0] Operation: 92-92=0
Exploring Operation: 99-92=7, Resulting Numbers: [92, 7]
Generated Node #0,4,2: 99:[92, 7] Operation: 99-92=7
Exploring Operation: 92+92=184, Resulting Numbers: [99, 184]
Generated Node #0,4,3: 99:[99, 184] Operation: 92+92=184
Exploring Operation: 92/92=1, Resulting Numbers: [99, 1]
Generated Node #0,4,4: 99:[99, 1] Operation: 92/92=1
Moving to Node #0,2
Current State: 99:[22, 99, 22], Operations: ['92-70=22']
Exploring Operation: 99-22=77, Resulting Numbers: [22, 77]
Generated Node #0,2,0: 99:[22, 77] Operation: 99-22=77
Exploring Operation: 22-22=0, Resulting Numbers: [99, 0]
Generated Node #0,2,1: 99:[99, 0] Operation: 22-22=0
Exploring Operation: 22+22=44, Resulting Numbers: [99, 44]
Generated Node #0,2,2: 99:[99, 44] Operation: 22+22=44
Exploring Operation: 22/22=1, Resulting Numbers: [99, 1]
Generated Node #0,2,3: 99:[99, 1] Operation: 22/22=1
Exploring Operation: 22+99=121, Resulting Numbers: [22, 121]
Generated Node #0,2,4: 99:[22, 121] Operation: 22+99=121
Moving to Node #0,0
Current State: 99:[22, 92, 29], Operations: ['99-70=29']
Exploring Operation: 92+29=121, Resulting Numbers: [22, 121]
Generated Node #0,0,0: 99:[22, 121] Operation: 92+29=121
Exploring Operation: 29-22=7, Resulting Numbers: [92, 7]
Generated Node #0,0,1: 99:[92, 7] Operation: 29-22=7
Exploring Operation: 22+92=114, Resulting Numbers: [29, 114]
Generated Node #0,0,2: 99:[29, 114] Operation: 22+92=114
Exploring Operation: 22+29=51, Resulting Numbers: [92, 51]
Generated Node #0,0,3: 99:[92, 51] Operation: 22+29=51
Exploring Operation: 92-22=70, Resulting Numbers: [29, 70]
Generated Node #0,0,4: 99:[29, 70] Operation: 92-22=70
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[92, 7], Operations: ['99-70=29', '29-22=7']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 92*7=644, Resulting Numbers: [644]
644,99 unequal: No Solution
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[22, 92, 99, 70], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [22, 92, 29]
Generated Node #0,0: 99:[22, 92, 29] Operation: 99-70=29
Moving to Node #0,0
Current State: 99:[22, 92, 29], Operations: ['99-70=29']
Exploring Operation: 29-22=7, Resulting Numbers: [92, 7]
Generated Node #0,0,1: 99:[92, 7] Operation: 29-22=7
Moving to Node #0,0,1
Current State: 99:[92, 7], Operations: ['99-70=29', '29-22=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
78,
99,
84,
8
] | 71 | [
"99-78=21",
"84+8=92",
"92-21=71"
] | Current State: 71:[78, 99, 84, 8], Operations: []
Exploring Operation: 99-78=21, Resulting Numbers: [84, 8, 21]
Generated Node #2: [84, 8, 21] from Operation: 99-78=21
Current State: 71:[84, 8, 21], Operations: ['99-78=21']
Exploring Operation: 84+8=92, Resulting Numbers: [21, 92]
Generated Node #3: [21, 92] from Operation: 84+8=92
Current State: 71:[21, 92], Operations: ['99-78=21', '84+8=92']
Exploring Operation: 92-21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[78, 99, 84, 8], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [78, 84, 91]
Generated Node #0,0: 71:[78, 84, 91] Operation: 99-8=91
Moving to Node #0,0
Current State: 71:[78, 84, 91], Operations: ['99-8=91']
Exploring Operation: 91-78=13, Resulting Numbers: [84, 13]
Generated Node #0,0,0: 71:[84, 13] Operation: 91-78=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[84, 13], Operations: ['99-8=91', '91-78=13']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[78, 99, 84, 8], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [78, 84, 91]
Generated Node #0,0: 71:[78, 84, 91] Operation: 99-8=91
Moving to Node #0,0
Current State: 71:[78, 84, 91], Operations: ['99-8=91']
Exploring Operation: 91-78=13, Resulting Numbers: [84, 13]
Generated Node #0,0,0: 71:[84, 13] Operation: 91-78=13
Moving to Node #0,0,0
Current State: 71:[84, 13], Operations: ['99-8=91', '91-78=13']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
80,
33,
28,
99
] | 83 | [
"33-28=5",
"80/5=16",
"99-16=83"
] | Current State: 83:[80, 33, 28, 99], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [80, 99, 5]
Generated Node #2: [80, 99, 5] from Operation: 33-28=5
Current State: 83:[80, 99, 5], Operations: ['33-28=5']
Exploring Operation: 80/5=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 80/5=16
Current State: 83:[99, 16], Operations: ['33-28=5', '80/5=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[80, 33, 28, 99], Operations: []
Exploring Operation: 33+28=61, Resulting Numbers: [80, 99, 61]
Generated Node #0,0: 83:[80, 99, 61] Operation: 33+28=61
Exploring Operation: 99-28=71, Resulting Numbers: [80, 33, 71]
Generated Node #0,1: 83:[80, 33, 71] Operation: 99-28=71
Moving to Node #0,0
Current State: 83:[80, 99, 61], Operations: ['33+28=61']
Exploring Operation: 99-61=38, Resulting Numbers: [80, 38]
Generated Node #0,0,0: 83:[80, 38] Operation: 99-61=38
Exploring Operation: 80+61=141, Resulting Numbers: [99, 141]
Generated Node #0,0,1: 83:[99, 141] Operation: 80+61=141
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[80, 38], Operations: ['33+28=61', '99-61=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[99, 141], Operations: ['33+28=61', '80+61=141']
Exploring Operation: 141-99=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 99+141=240, Resulting Numbers: [240]
240,83 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:[80, 33, 71], Operations: ['99-28=71']
Exploring Operation: 33+71=104, Resulting Numbers: [80, 104]
Generated Node #0,1,0: 83:[80, 104] Operation: 33+71=104
Exploring Operation: 80+33=113, Resulting Numbers: [71, 113]
Generated Node #0,1,1: 83:[71, 113] Operation: 80+33=113
Moving to Node #0,1,0
Current State: 83:[80, 104], Operations: ['99-28=71', '33+71=104']
Exploring Operation: 104-80=24, Resulting Numbers: [24]
24,83 unequal: No Solution
Exploring Operation: 80+104=184, Resulting Numbers: [184]
184,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[71, 113], Operations: ['99-28=71', '80+33=113']
Exploring Operation: 113-71=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 71+113=184, Resulting Numbers: [184]
184,83 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
26,
44,
29,
30
] | 17 | [
"44-26=18",
"30-29=1",
"18-1=17"
] | Current State: 17:[26, 44, 29, 30], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [29, 30, 18]
Generated Node #2: [29, 30, 18] from Operation: 44-26=18
Current State: 17:[29, 30, 18], Operations: ['44-26=18']
Exploring Operation: 30-29=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 30-29=1
Current State: 17:[18, 1], Operations: ['44-26=18', '30-29=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[26, 44, 29, 30], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [26, 30, 15]
Generated Node #0,0: 17:[26, 30, 15] Operation: 44-29=15
Moving to Node #0,0
Current State: 17:[26, 30, 15], Operations: ['44-29=15']
Exploring Operation: 30-15=15, Resulting Numbers: [26, 15]
Generated Node #0,0,0: 17:[26, 15] Operation: 30-15=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[26, 15], Operations: ['44-29=15', '30-15=15']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
89,
40,
44,
66
] | 19 | [
"89+40=129",
"44+66=110",
"129-110=19"
] | Current State: 19:[89, 40, 44, 66], Operations: []
Exploring Operation: 89+40=129, Resulting Numbers: [44, 66, 129]
Generated Node #2: [44, 66, 129] from Operation: 89+40=129
Current State: 19:[44, 66, 129], Operations: ['89+40=129']
Exploring Operation: 44+66=110, Resulting Numbers: [129, 110]
Generated Node #3: [129, 110] from Operation: 44+66=110
Current State: 19:[129, 110], Operations: ['89+40=129', '44+66=110']
Exploring Operation: 129-110=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[89, 40, 44, 66], Operations: []
Exploring Operation: 66-44=22, Resulting Numbers: [89, 40, 22]
Generated Node #0,0: 19:[89, 40, 22] Operation: 66-44=22
Exploring Operation: 89-66=23, Resulting Numbers: [40, 44, 23]
Generated Node #0,1: 19:[40, 44, 23] Operation: 89-66=23
Exploring Operation: 89-44=45, Resulting Numbers: [40, 66, 45]
Generated Node #0,2: 19:[40, 66, 45] Operation: 89-44=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[40, 44, 23], Operations: ['89-66=23']
Exploring Operation: 40-23=17, Resulting Numbers: [44, 17]
Generated Node #0,1,0: 19:[44, 17] Operation: 40-23=17
Exploring Operation: 44-40=4, Resulting Numbers: [23, 4]
Generated Node #0,1,1: 19:[23, 4] Operation: 44-40=4
Exploring Operation: 44-23=21, Resulting Numbers: [40, 21]
Generated Node #0,1,2: 19:[40, 21] Operation: 44-23=21
Moving to Node #0,1,1
Current State: 19:[23, 4], Operations: ['89-66=23', '44-40=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[89, 40, 44, 66], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [40, 44, 23]
Generated Node #0,1: 19:[40, 44, 23] Operation: 89-66=23
Moving to Node #0,1
Current State: 19:[40, 44, 23], Operations: ['89-66=23']
Exploring Operation: 44-40=4, Resulting Numbers: [23, 4]
Generated Node #0,1,1: 19:[23, 4] Operation: 44-40=4
Moving to Node #0,1,1
Current State: 19:[23, 4], Operations: ['89-66=23', '44-40=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
7,
56,
23,
67
] | 41 | [
"56-7=49",
"23+67=90",
"90-49=41"
] | Current State: 41:[7, 56, 23, 67], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [23, 67, 49]
Generated Node #2: [23, 67, 49] from Operation: 56-7=49
Current State: 41:[23, 67, 49], Operations: ['56-7=49']
Exploring Operation: 23+67=90, Resulting Numbers: [49, 90]
Generated Node #3: [49, 90] from Operation: 23+67=90
Current State: 41:[49, 90], Operations: ['56-7=49', '23+67=90']
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[7, 56, 23, 67], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [23, 67, 49]
Generated Node #0,0: 41:[23, 67, 49] Operation: 56-7=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[23, 67, 49], Operations: ['56-7=49']
Exploring Operation: 67-23=44, Resulting Numbers: [49, 44]
Generated Node #0,0,0: 41:[49, 44] Operation: 67-23=44
Moving to Node #0,0,0
Current State: 41:[49, 44], Operations: ['56-7=49', '67-23=44']
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,41 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 |
[
2,
14,
43,
7
] | 65 | [
"2*43=86",
"14+7=21",
"86-21=65"
] | Current State: 65:[2, 14, 43, 7], Operations: []
Exploring Operation: 2*43=86, Resulting Numbers: [14, 7, 86]
Generated Node #2: [14, 7, 86] from Operation: 2*43=86
Current State: 65:[14, 7, 86], Operations: ['2*43=86']
Exploring Operation: 14+7=21, Resulting Numbers: [86, 21]
Generated Node #3: [86, 21] from Operation: 14+7=21
Current State: 65:[86, 21], Operations: ['2*43=86', '14+7=21']
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[2, 14, 43, 7], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [2, 7, 29]
Generated Node #0,0: 65:[2, 7, 29] Operation: 43-14=29
Exploring Operation: 14+43=57, Resulting Numbers: [2, 7, 57]
Generated Node #0,1: 65:[2, 7, 57] Operation: 14+43=57
Exploring Operation: 2+43=45, Resulting Numbers: [14, 7, 45]
Generated Node #0,2: 65:[14, 7, 45] Operation: 2+43=45
Exploring Operation: 43+7=50, Resulting Numbers: [2, 14, 50]
Generated Node #0,3: 65:[2, 14, 50] Operation: 43+7=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[2, 7, 57], Operations: ['14+43=57']
Exploring Operation: 2*7=14, Resulting Numbers: [57, 14]
Generated Node #0,1,0: 65:[57, 14] Operation: 2*7=14
Exploring Operation: 2+57=59, Resulting Numbers: [7, 59]
Generated Node #0,1,1: 65:[7, 59] Operation: 2+57=59
Exploring Operation: 7-2=5, Resulting Numbers: [57, 5]
Generated Node #0,1,2: 65:[57, 5] Operation: 7-2=5
Exploring Operation: 7+57=64, Resulting Numbers: [2, 64]
Generated Node #0,1,3: 65:[2, 64] Operation: 7+57=64
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 65:[2, 64], Operations: ['14+43=57', '7+57=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,65 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,65 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[7, 59], Operations: ['14+43=57', '2+57=59']
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 7*59=413, Resulting Numbers: [413]
413,65 unequal: No Solution
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 65:[57, 5], Operations: ['14+43=57', '7-2=5']
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,65 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[57, 14], Operations: ['14+43=57', '2*7=14']
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,65 unequal: No Solution
Exploring Operation: 57*14=798, Resulting Numbers: [798]
798,65 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[2, 14, 50], Operations: ['43+7=50']
Exploring Operation: 14-2=12, Resulting Numbers: [50, 12]
Generated Node #0,3,0: 65:[50, 12] Operation: 14-2=12
Exploring Operation: 14+50=64, Resulting Numbers: [2, 64]
Generated Node #0,3,1: 65:[2, 64] Operation: 14+50=64
Exploring Operation: 50/2=25, Resulting Numbers: [14, 25]
Generated Node #0,3,2: 65:[14, 25] Operation: 50/2=25
Exploring Operation: 2+50=52, Resulting Numbers: [14, 52]
Generated Node #0,3,3: 65:[14, 52] Operation: 2+50=52
Moving to Node #0,3,1
Current State: 65:[2, 64], Operations: ['43+7=50', '14+50=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,65 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,65 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[14, 25], Operations: ['43+7=50', '50/2=25']
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,65 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 14*25=350, Resulting Numbers: [350]
350,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[14, 52], Operations: ['43+7=50', '2+50=52']
Exploring Operation: 14*52=728, Resulting Numbers: [728]
728,65 unequal: No Solution
Exploring Operation: 14+52=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[50, 12], Operations: ['43+7=50', '14-2=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,65 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,65 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[2, 7, 29], Operations: ['43-14=29']
Exploring Operation: 29-7=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 65:[2, 22] Operation: 29-7=22
Exploring Operation: 29-2=27, Resulting Numbers: [7, 27]
Generated Node #0,0,1: 65:[7, 27] Operation: 29-2=27
Exploring Operation: 2*29=58, Resulting Numbers: [7, 58]
Generated Node #0,0,2: 65:[7, 58] Operation: 2*29=58
Exploring Operation: 7-2=5, Resulting Numbers: [29, 5]
Generated Node #0,0,3: 65:[29, 5] Operation: 7-2=5
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 65:[7, 58], Operations: ['43-14=29', '2*29=58']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,65 unequal: No Solution
Exploring Operation: 7*58=406, Resulting Numbers: [406]
406,65 unequal: No Solution
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[2, 14, 43, 7], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [2, 7, 29]
Generated Node #0,0: 65:[2, 7, 29] Operation: 43-14=29
Moving to Node #0,0
Current State: 65:[2, 7, 29], Operations: ['43-14=29']
Exploring Operation: 2*29=58, Resulting Numbers: [7, 58]
Generated Node #0,0,2: 65:[7, 58] Operation: 2*29=58
Moving to Node #0,0,2
Current State: 65:[7, 58], Operations: ['43-14=29', '2*29=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.957465 | hs_4 | sum_heuristic |
[
95,
22,
6,
63
] | 30 | [
"95+22=117",
"63+117=180",
"180/6=30"
] | Current State: 30:[95, 22, 6, 63], Operations: []
Exploring Operation: 95+22=117, Resulting Numbers: [6, 63, 117]
Generated Node #2: [6, 63, 117] from Operation: 95+22=117
Current State: 30:[6, 63, 117], Operations: ['95+22=117']
Exploring Operation: 63+117=180, Resulting Numbers: [6, 180]
Generated Node #3: [6, 180] from Operation: 63+117=180
Current State: 30:[6, 180], Operations: ['95+22=117', '63+117=180']
Exploring Operation: 180/6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[95, 22, 6, 63], Operations: []
Exploring Operation: 63-22=41, Resulting Numbers: [95, 6, 41]
Generated Node #0,0: 30:[95, 6, 41] Operation: 63-22=41
Exploring Operation: 95-63=32, Resulting Numbers: [22, 6, 32]
Generated Node #0,1: 30:[22, 6, 32] Operation: 95-63=32
Exploring Operation: 95-22=73, Resulting Numbers: [6, 63, 73]
Generated Node #0,2: 30:[6, 63, 73] Operation: 95-22=73
Moving to Node #0,1
Current State: 30:[22, 6, 32], Operations: ['95-63=32']
Exploring Operation: 32-22=10, Resulting Numbers: [6, 10]
Generated Node #0,1,0: 30:[6, 10] Operation: 32-22=10
Exploring Operation: 22+6=28, Resulting Numbers: [32, 28]
Generated Node #0,1,1: 30:[32, 28] Operation: 22+6=28
Exploring Operation: 22-6=16, Resulting Numbers: [32, 16]
Generated Node #0,1,2: 30:[32, 16] Operation: 22-6=16
Moving to Node #0,0
Current State: 30:[95, 6, 41], Operations: ['63-22=41']
Exploring Operation: 95-41=54, Resulting Numbers: [6, 54]
Generated Node #0,0,0: 30:[6, 54] Operation: 95-41=54
Exploring Operation: 95-6=89, Resulting Numbers: [41, 89]
Generated Node #0,0,1: 30:[41, 89] Operation: 95-6=89
Exploring Operation: 41-6=35, Resulting Numbers: [95, 35]
Generated Node #0,0,2: 30:[95, 35] Operation: 41-6=35
Moving to Node #0,2
Current State: 30:[6, 63, 73], Operations: ['95-22=73']
Exploring Operation: 73-63=10, Resulting Numbers: [6, 10]
Generated Node #0,2,0: 30:[6, 10] Operation: 73-63=10
Exploring Operation: 73-6=67, Resulting Numbers: [63, 67]
Generated Node #0,2,1: 30:[63, 67] Operation: 73-6=67
Exploring Operation: 63-6=57, Resulting Numbers: [73, 57]
Generated Node #0,2,2: 30:[73, 57] Operation: 63-6=57
Moving to Node #0,1,0
Current State: 30:[6, 10], Operations: ['95-63=32', '32-22=10']
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
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[6, 10], Operations: ['95-22=73', '73-63=10']
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
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[32, 16], Operations: ['95-63=32', '22-6=16']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[32, 28], Operations: ['95-63=32', '22+6=28']
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 32*28=896, Resulting Numbers: [896]
896,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[6, 54], Operations: ['63-22=41', '95-41=54']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,30 unequal: No Solution
Exploring Operation: 6+54=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[95, 35], Operations: ['63-22=41', '41-6=35']
Exploring Operation: 95+35=130, Resulting Numbers: [130]
130,30 unequal: No Solution
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 95*35=3325, Resulting Numbers: [3325]
3325,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[73, 57], Operations: ['95-22=73', '63-6=57']
Exploring Operation: 73+57=130, Resulting Numbers: [130]
130,30 unequal: No Solution
Exploring Operation: 73*57=4161, Resulting Numbers: [4161]
4161,30 unequal: No Solution
Exploring Operation: 73-57=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[41, 89], Operations: ['63-22=41', '95-6=89']
Exploring Operation: 89-41=48, Resulting Numbers: [48]
48,30 unequal: No Solution
Exploring Operation: 41*89=3649, Resulting Numbers: [3649]
3649,30 unequal: No Solution
Exploring Operation: 41+89=130, Resulting Numbers: [130]
130,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[63, 67], Operations: ['95-22=73', '73-6=67']
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 63*67=4221, Resulting Numbers: [4221]
4221,30 unequal: No Solution
Exploring Operation: 63+67=130, Resulting Numbers: [130]
130,30 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
74,
62,
90,
78
] | 32 | [
"74+62=136",
"90+78=168",
"168-136=32"
] | Current State: 32:[74, 62, 90, 78], Operations: []
Exploring Operation: 74+62=136, Resulting Numbers: [90, 78, 136]
Generated Node #2: [90, 78, 136] from Operation: 74+62=136
Current State: 32:[90, 78, 136], Operations: ['74+62=136']
Exploring Operation: 90+78=168, Resulting Numbers: [136, 168]
Generated Node #3: [136, 168] from Operation: 90+78=168
Current State: 32:[136, 168], Operations: ['74+62=136', '90+78=168']
Exploring Operation: 168-136=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[74, 62, 90, 78], Operations: []
Exploring Operation: 90-62=28, Resulting Numbers: [74, 78, 28]
Generated Node #0,0: 32:[74, 78, 28] Operation: 90-62=28
Exploring Operation: 78-74=4, Resulting Numbers: [62, 90, 4]
Generated Node #0,1: 32:[62, 90, 4] Operation: 78-74=4
Exploring Operation: 78-62=16, Resulting Numbers: [74, 90, 16]
Generated Node #0,2: 32:[74, 90, 16] Operation: 78-62=16
Exploring Operation: 90-74=16, Resulting Numbers: [62, 78, 16]
Generated Node #0,3: 32:[62, 78, 16] Operation: 90-74=16
Exploring Operation: 90-78=12, Resulting Numbers: [74, 62, 12]
Generated Node #0,4: 32:[74, 62, 12] Operation: 90-78=12
Moving to Node #0,3
Current State: 32:[62, 78, 16], Operations: ['90-74=16']
Exploring Operation: 62+16=78, Resulting Numbers: [78, 78]
Generated Node #0,3,0: 32:[78, 78] Operation: 62+16=78
Exploring Operation: 78+16=94, Resulting Numbers: [62, 94]
Generated Node #0,3,1: 32:[62, 94] Operation: 78+16=94
Exploring Operation: 62-16=46, Resulting Numbers: [78, 46]
Generated Node #0,3,2: 32:[78, 46] Operation: 62-16=46
Exploring Operation: 78-16=62, Resulting Numbers: [62, 62]
Generated Node #0,3,3: 32:[62, 62] Operation: 78-16=62
Exploring Operation: 78-62=16, Resulting Numbers: [16, 16]
Generated Node #0,3,4: 32:[16, 16] Operation: 78-62=16
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 32:[16, 16], Operations: ['90-74=16', '78-62=16']
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,32 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,32 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[74, 62, 90, 78], Operations: []
Exploring Operation: 90-74=16, Resulting Numbers: [62, 78, 16]
Generated Node #0,3: 32:[62, 78, 16] Operation: 90-74=16
Moving to Node #0,3
Current State: 32:[62, 78, 16], Operations: ['90-74=16']
Exploring Operation: 78-62=16, Resulting Numbers: [16, 16]
Generated Node #0,3,4: 32:[16, 16] Operation: 78-62=16
Moving to Node #0,3,4
Current State: 32:[16, 16], Operations: ['90-74=16', '78-62=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
88,
7,
31,
91
] | 52 | [
"91-88=3",
"7*3=21",
"31+21=52"
] | Current State: 52:[88, 7, 31, 91], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [7, 31, 3]
Generated Node #2: [7, 31, 3] from Operation: 91-88=3
Current State: 52:[7, 31, 3], Operations: ['91-88=3']
Exploring Operation: 7*3=21, Resulting Numbers: [31, 21]
Generated Node #3: [31, 21] from Operation: 7*3=21
Current State: 52:[31, 21], Operations: ['91-88=3', '7*3=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[88, 7, 31, 91], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [88, 31, 13]
Generated Node #0,0: 52:[88, 31, 13] Operation: 91/7=13
Exploring Operation: 91-31=60, Resulting Numbers: [88, 7, 60]
Generated Node #0,1: 52:[88, 7, 60] Operation: 91-31=60
Exploring Operation: 88-31=57, Resulting Numbers: [7, 91, 57]
Generated Node #0,2: 52:[7, 91, 57] Operation: 88-31=57
Exploring Operation: 88-7=81, Resulting Numbers: [31, 91, 81]
Generated Node #0,3: 52:[31, 91, 81] Operation: 88-7=81
Exploring Operation: 91-88=3, Resulting Numbers: [7, 31, 3]
Generated Node #0,4: 52:[7, 31, 3] Operation: 91-88=3
Moving to Node #0,4
Current State: 52:[7, 31, 3], Operations: ['91-88=3']
Exploring Operation: 31-7=24, Resulting Numbers: [3, 24]
Generated Node #0,4,0: 52:[3, 24] Operation: 31-7=24
Exploring Operation: 7*3=21, Resulting Numbers: [31, 21]
Generated Node #0,4,1: 52:[31, 21] Operation: 7*3=21
Exploring Operation: 7+3=10, Resulting Numbers: [31, 10]
Generated Node #0,4,2: 52:[31, 10] Operation: 7+3=10
Exploring Operation: 7-3=4, Resulting Numbers: [31, 4]
Generated Node #0,4,3: 52:[31, 4] Operation: 7-3=4
Exploring Operation: 31-3=28, Resulting Numbers: [7, 28]
Generated Node #0,4,4: 52:[7, 28] Operation: 31-3=28
Moving to Node #0,0
Current State: 52:[88, 31, 13], Operations: ['91/7=13']
Exploring Operation: 88-13=75, Resulting Numbers: [31, 75]
Generated Node #0,0,0: 52:[31, 75] Operation: 88-13=75
Exploring Operation: 88-31=57, Resulting Numbers: [13, 57]
Generated Node #0,0,1: 52:[13, 57] Operation: 88-31=57
Exploring Operation: 31-13=18, Resulting Numbers: [88, 18]
Generated Node #0,0,2: 52:[88, 18] Operation: 31-13=18
Exploring Operation: 31+13=44, Resulting Numbers: [88, 44]
Generated Node #0,0,3: 52:[88, 44] Operation: 31+13=44
Exploring Operation: 88+13=101, Resulting Numbers: [31, 101]
Generated Node #0,0,4: 52:[31, 101] Operation: 88+13=101
Moving to Node #0,1
Current State: 52:[88, 7, 60], Operations: ['91-31=60']
Exploring Operation: 7+60=67, Resulting Numbers: [88, 67]
Generated Node #0,1,0: 52:[88, 67] Operation: 7+60=67
Exploring Operation: 60-7=53, Resulting Numbers: [88, 53]
Generated Node #0,1,1: 52:[88, 53] Operation: 60-7=53
Exploring Operation: 88+7=95, Resulting Numbers: [60, 95]
Generated Node #0,1,2: 52:[60, 95] Operation: 88+7=95
Exploring Operation: 88-7=81, Resulting Numbers: [60, 81]
Generated Node #0,1,3: 52:[60, 81] Operation: 88-7=81
Exploring Operation: 88-60=28, Resulting Numbers: [7, 28]
Generated Node #0,1,4: 52:[7, 28] Operation: 88-60=28
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 52:[7, 28], Operations: ['91-31=60', '88-60=28']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,52 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[88, 53], Operations: ['91-31=60', '60-7=53']
Exploring Operation: 88*53=4664, Resulting Numbers: [4664]
4664,52 unequal: No Solution
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 88+53=141, Resulting Numbers: [141]
141,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 52:[60, 81], Operations: ['91-31=60', '88-7=81']
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 60*81=4860, Resulting Numbers: [4860]
4860,52 unequal: No Solution
Exploring Operation: 60+81=141, Resulting Numbers: [141]
141,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[88, 67], Operations: ['91-31=60', '7+60=67']
Exploring Operation: 88-67=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 88*67=5896, Resulting Numbers: [5896]
5896,52 unequal: No Solution
Exploring Operation: 88+67=155, Resulting Numbers: [155]
155,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 52:[60, 95], Operations: ['91-31=60', '88+7=95']
Exploring Operation: 60*95=5700, Resulting Numbers: [5700]
5700,52 unequal: No Solution
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 60+95=155, Resulting Numbers: [155]
155,52 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: 52:[7, 91, 57], Operations: ['88-31=57']
Exploring Operation: 91/7=13, Resulting Numbers: [57, 13]
Generated Node #0,2,0: 52:[57, 13] Operation: 91/7=13
Exploring Operation: 91-7=84, Resulting Numbers: [57, 84]
Generated Node #0,2,1: 52:[57, 84] Operation: 91-7=84
Exploring Operation: 91-57=34, Resulting Numbers: [7, 34]
Generated Node #0,2,2: 52:[7, 34] Operation: 91-57=34
Exploring Operation: 7+91=98, Resulting Numbers: [57, 98]
Generated Node #0,2,3: 52:[57, 98] Operation: 7+91=98
Exploring Operation: 57-7=50, Resulting Numbers: [91, 50]
Generated Node #0,2,4: 52:[91, 50] Operation: 57-7=50
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 52:[57, 13], Operations: ['88-31=57', '91/7=13']
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,52 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 52:[7, 34], Operations: ['88-31=57', '91-57=34']
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 7*34=238, Resulting Numbers: [238]
238,52 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 52:[57, 84], Operations: ['88-31=57', '91-7=84']
Exploring Operation: 57+84=141, Resulting Numbers: [141]
141,52 unequal: No Solution
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 57*84=4788, Resulting Numbers: [4788]
4788,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 52:[91, 50], Operations: ['88-31=57', '57-7=50']
Exploring Operation: 91+50=141, Resulting Numbers: [141]
141,52 unequal: No Solution
Exploring Operation: 91-50=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 91*50=4550, Resulting Numbers: [4550]
4550,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 52:[57, 98], Operations: ['88-31=57', '7+91=98']
Exploring Operation: 57*98=5586, Resulting Numbers: [5586]
5586,52 unequal: No Solution
Exploring Operation: 57+98=155, Resulting Numbers: [155]
155,52 unequal: No Solution
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,52 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: 52:[31, 91, 81], Operations: ['88-7=81']
Exploring Operation: 91-31=60, Resulting Numbers: [81, 60]
Generated Node #0,3,0: 52:[81, 60] Operation: 91-31=60
Exploring Operation: 31+91=122, Resulting Numbers: [81, 122]
Generated Node #0,3,1: 52:[81, 122] Operation: 31+91=122
Exploring Operation: 31+81=112, Resulting Numbers: [91, 112]
Generated Node #0,3,2: 52:[91, 112] Operation: 31+81=112
Exploring Operation: 91-81=10, Resulting Numbers: [31, 10]
Generated Node #0,3,3: 52:[31, 10] Operation: 91-81=10
Exploring Operation: 81-31=50, Resulting Numbers: [91, 50]
Generated Node #0,3,4: 52:[91, 50] Operation: 81-31=50
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[31, 10], Operations: ['88-7=81', '91-81=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,52 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 52:[81, 60], Operations: ['88-7=81', '91-31=60']
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 81+60=141, Resulting Numbers: [141]
141,52 unequal: No Solution
Exploring Operation: 81*60=4860, Resulting Numbers: [4860]
4860,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 52:[91, 50], Operations: ['88-7=81', '81-31=50']
Exploring Operation: 91-50=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 91+50=141, Resulting Numbers: [141]
141,52 unequal: No Solution
Exploring Operation: 91*50=4550, Resulting Numbers: [4550]
4550,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[81, 122], Operations: ['88-7=81', '31+91=122']
Exploring Operation: 122-81=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 81+122=203, Resulting Numbers: [203]
203,52 unequal: No Solution
Exploring Operation: 81*122=9882, Resulting Numbers: [9882]
9882,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[91, 112], Operations: ['88-7=81', '31+81=112']
Exploring Operation: 91*112=10192, Resulting Numbers: [10192]
10192,52 unequal: No Solution
Exploring Operation: 112-91=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 91+112=203, Resulting Numbers: [203]
203,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 52:[3, 24], Operations: ['91-88=3', '31-7=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[7, 28], Operations: ['91-88=3', '31-3=28']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,52 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[13, 57], Operations: ['91/7=13', '88-31=57']
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,52 unequal: No Solution
Exploring Operation: 13*57=741, Resulting Numbers: [741]
741,52 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Moving to Node #0,4,3
Current State: 52:[31, 4], Operations: ['91-88=3', '7-3=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,52 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,52 unequal: No Solution
Moving to Node #0,4,2
Current State: 52:[31, 10], Operations: ['91-88=3', '7+3=10']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,52 unequal: No Solution
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Moving to Node #0,4,1
Current State: 52:[31, 21], Operations: ['91-88=3', '7*3=21']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 31*21=651, Resulting Numbers: [651]
651,52 unequal: No Solution
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[88, 7, 31, 91], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [7, 31, 3]
Generated Node #0,4: 52:[7, 31, 3] Operation: 91-88=3
Moving to Node #0,4
Current State: 52:[7, 31, 3], Operations: ['91-88=3']
Exploring Operation: 7*3=21, Resulting Numbers: [31, 21]
Generated Node #0,4,1: 52:[31, 21] Operation: 7*3=21
Moving to Node #0,4,1
Current State: 52:[31, 21], Operations: ['91-88=3', '7*3=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.913194 | hs_5 | mult_heuristic |
[
53,
7,
21,
31
] | 87 | [
"53+31=84",
"21/7=3",
"84+3=87"
] | Current State: 87:[53, 7, 21, 31], Operations: []
Exploring Operation: 53+31=84, Resulting Numbers: [7, 21, 84]
Generated Node #2: [7, 21, 84] from Operation: 53+31=84
Current State: 87:[7, 21, 84], Operations: ['53+31=84']
Exploring Operation: 21/7=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 21/7=3
Current State: 87:[84, 3], Operations: ['53+31=84', '21/7=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[53, 7, 21, 31], Operations: []
Exploring Operation: 53+31=84, Resulting Numbers: [7, 21, 84]
Generated Node #0,0: 87:[7, 21, 84] Operation: 53+31=84
Exploring Operation: 53-21=32, Resulting Numbers: [7, 31, 32]
Generated Node #0,1: 87:[7, 31, 32] Operation: 53-21=32
Moving to Node #0,1
Current State: 87:[7, 31, 32], Operations: ['53-21=32']
Exploring Operation: 32-7=25, Resulting Numbers: [31, 25]
Generated Node #0,1,0: 87:[31, 25] Operation: 32-7=25
Exploring Operation: 32-31=1, Resulting Numbers: [7, 1]
Generated Node #0,1,1: 87:[7, 1] Operation: 32-31=1
Moving to Node #0,0
Current State: 87:[7, 21, 84], Operations: ['53+31=84']
Exploring Operation: 21/7=3, Resulting Numbers: [84, 3]
Generated Node #0,0,0: 87:[84, 3] Operation: 21/7=3
Exploring Operation: 7+21=28, Resulting Numbers: [84, 28]
Generated Node #0,0,1: 87:[84, 28] Operation: 7+21=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[84, 3], Operations: ['53+31=84', '21/7=3']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[53, 7, 21, 31], Operations: []
Exploring Operation: 53+31=84, Resulting Numbers: [7, 21, 84]
Generated Node #0,0: 87:[7, 21, 84] Operation: 53+31=84
Moving to Node #0,0
Current State: 87:[7, 21, 84], Operations: ['53+31=84']
Exploring Operation: 21/7=3, Resulting Numbers: [84, 3]
Generated Node #0,0,0: 87:[84, 3] Operation: 21/7=3
Moving to Node #0,0,0
Current State: 87:[84, 3], Operations: ['53+31=84', '21/7=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
79,
24,
72,
99
] | 68 | [
"79+24=103",
"72+99=171",
"171-103=68"
] | Current State: 68:[79, 24, 72, 99], Operations: []
Exploring Operation: 79+24=103, Resulting Numbers: [72, 99, 103]
Generated Node #2: [72, 99, 103] from Operation: 79+24=103
Current State: 68:[72, 99, 103], Operations: ['79+24=103']
Exploring Operation: 72+99=171, Resulting Numbers: [103, 171]
Generated Node #3: [103, 171] from Operation: 72+99=171
Current State: 68:[103, 171], Operations: ['79+24=103', '72+99=171']
Exploring Operation: 171-103=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[79, 24, 72, 99], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [24, 72, 20]
Generated Node #0,0: 68:[24, 72, 20] Operation: 99-79=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[24, 72, 20], Operations: ['99-79=20']
Exploring Operation: 72/24=3, Resulting Numbers: [20, 3]
Generated Node #0,0,0: 68:[20, 3] Operation: 72/24=3
Moving to Node #0,0,0
Current State: 68:[20, 3], Operations: ['99-79=20', '72/24=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,68 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 |
[
84,
89,
78,
79
] | 16 | [
"84+89=173",
"78+79=157",
"173-157=16"
] | Current State: 16:[84, 89, 78, 79], Operations: []
Exploring Operation: 84+89=173, Resulting Numbers: [78, 79, 173]
Generated Node #2: [78, 79, 173] from Operation: 84+89=173
Current State: 16:[78, 79, 173], Operations: ['84+89=173']
Exploring Operation: 78+79=157, Resulting Numbers: [173, 157]
Generated Node #3: [173, 157] from Operation: 78+79=157
Current State: 16:[173, 157], Operations: ['84+89=173', '78+79=157']
Exploring Operation: 173-157=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[84, 89, 78, 79], Operations: []
Exploring Operation: 89-78=11, Resulting Numbers: [84, 79, 11]
Generated Node #0,0: 16:[84, 79, 11] Operation: 89-78=11
Exploring Operation: 89-79=10, Resulting Numbers: [84, 78, 10]
Generated Node #0,1: 16:[84, 78, 10] Operation: 89-79=10
Exploring Operation: 89-84=5, Resulting Numbers: [78, 79, 5]
Generated Node #0,2: 16:[78, 79, 5] Operation: 89-84=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[78, 79, 5], Operations: ['89-84=5']
Exploring Operation: 79-5=74, Resulting Numbers: [78, 74]
Generated Node #0,2,0: 16:[78, 74] Operation: 79-5=74
Exploring Operation: 79-78=1, Resulting Numbers: [5, 1]
Generated Node #0,2,1: 16:[5, 1] Operation: 79-78=1
Exploring Operation: 78-5=73, Resulting Numbers: [79, 73]
Generated Node #0,2,2: 16:[79, 73] Operation: 78-5=73
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 16:[5, 1], Operations: ['89-84=5', '79-78=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,16 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:[78, 74], Operations: ['89-84=5', '79-5=74']
Exploring Operation: 78+74=152, Resulting Numbers: [152]
152,16 unequal: No Solution
Exploring Operation: 78*74=5772, Resulting Numbers: [5772]
5772,16 unequal: No Solution
Exploring Operation: 78-74=4, Resulting Numbers: [4]
4,16 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:[79, 73], Operations: ['89-84=5', '78-5=73']
Exploring Operation: 79*73=5767, Resulting Numbers: [5767]
5767,16 unequal: No Solution
Exploring Operation: 79-73=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Exploring Operation: 79+73=152, Resulting Numbers: [152]
152,16 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:[84, 78, 10], Operations: ['89-79=10']
Exploring Operation: 78-10=68, Resulting Numbers: [84, 68]
Generated Node #0,1,0: 16:[84, 68] Operation: 78-10=68
Exploring Operation: 84-10=74, Resulting Numbers: [78, 74]
Generated Node #0,1,1: 16:[78, 74] Operation: 84-10=74
Exploring Operation: 84-78=6, Resulting Numbers: [10, 6]
Generated Node #0,1,2: 16:[10, 6] Operation: 84-78=6
Moving to Node #0,1,2
Current State: 16:[10, 6], Operations: ['89-79=10', '84-78=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[84, 89, 78, 79], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [84, 78, 10]
Generated Node #0,1: 16:[84, 78, 10] Operation: 89-79=10
Moving to Node #0,1
Current State: 16:[84, 78, 10], Operations: ['89-79=10']
Exploring Operation: 84-78=6, Resulting Numbers: [10, 6]
Generated Node #0,1,2: 16:[10, 6] Operation: 84-78=6
Moving to Node #0,1,2
Current State: 16:[10, 6], Operations: ['89-79=10', '84-78=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
21,
42,
58,
47
] | 36 | [
"42/21=2",
"47*2=94",
"94-58=36"
] | Current State: 36:[21, 42, 58, 47], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [58, 47, 2]
Generated Node #2: [58, 47, 2] from Operation: 42/21=2
Current State: 36:[58, 47, 2], Operations: ['42/21=2']
Exploring Operation: 47*2=94, Resulting Numbers: [58, 94]
Generated Node #3: [58, 94] from Operation: 47*2=94
Current State: 36:[58, 94], Operations: ['42/21=2', '47*2=94']
Exploring Operation: 94-58=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[21, 42, 58, 47], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [21, 47, 16]
Generated Node #0,0: 36:[21, 47, 16] Operation: 58-42=16
Exploring Operation: 58-47=11, Resulting Numbers: [21, 42, 11]
Generated Node #0,1: 36:[21, 42, 11] Operation: 58-47=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[21, 42, 11], Operations: ['58-47=11']
Exploring Operation: 42-21=21, Resulting Numbers: [11, 21]
Generated Node #0,1,0: 36:[11, 21] Operation: 42-21=21
Exploring Operation: 42/21=2, Resulting Numbers: [11, 2]
Generated Node #0,1,1: 36:[11, 2] Operation: 42/21=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[11, 2], Operations: ['58-47=11', '42/21=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,36 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:[11, 21], Operations: ['58-47=11', '42-21=21']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,36 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:[21, 47, 16], Operations: ['58-42=16']
Exploring Operation: 47-21=26, Resulting Numbers: [16, 26]
Generated Node #0,0,0: 36:[16, 26] Operation: 47-21=26
Exploring Operation: 47-16=31, Resulting Numbers: [21, 31]
Generated Node #0,0,1: 36:[21, 31] Operation: 47-16=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[21, 31], Operations: ['58-42=16', '47-16=31']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 21+31=52, Resulting Numbers: [52]
52,36 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 #0,0,0
Current State: 36:[16, 26], Operations: ['58-42=16', '47-21=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,36 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
No solution found.
| 0 | hs_2 | sum_heuristic |
[
87,
23,
11,
29
] | 31 | [
"87/29=3",
"23+11=34",
"34-3=31"
] | Current State: 31:[87, 23, 11, 29], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [23, 11, 3]
Generated Node #2: [23, 11, 3] from Operation: 87/29=3
Current State: 31:[23, 11, 3], Operations: ['87/29=3']
Exploring Operation: 23+11=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 23+11=34
Current State: 31:[3, 34], Operations: ['87/29=3', '23+11=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[87, 23, 11, 29], Operations: []
Exploring Operation: 87-11=76, Resulting Numbers: [23, 29, 76]
Generated Node #0,0: 31:[23, 29, 76] Operation: 87-11=76
Exploring Operation: 87-23=64, Resulting Numbers: [11, 29, 64]
Generated Node #0,1: 31:[11, 29, 64] Operation: 87-23=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[23, 29, 76], Operations: ['87-11=76']
Exploring Operation: 76-29=47, Resulting Numbers: [23, 47]
Generated Node #0,0,0: 31:[23, 47] Operation: 76-29=47
Exploring Operation: 76-23=53, Resulting Numbers: [29, 53]
Generated Node #0,0,1: 31:[29, 53] Operation: 76-23=53
Moving to Node #0,0,0
Current State: 31:[23, 47], Operations: ['87-11=76', '76-29=47']
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[29, 53], Operations: ['87-11=76', '76-23=53']
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 29+53=82, Resulting Numbers: [82]
82,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[11, 29, 64], Operations: ['87-23=64']
Exploring Operation: 64-11=53, Resulting Numbers: [29, 53]
Generated Node #0,1,0: 31:[29, 53] Operation: 64-11=53
Exploring Operation: 64-29=35, Resulting Numbers: [11, 35]
Generated Node #0,1,1: 31:[11, 35] Operation: 64-29=35
Moving to Node #0,1,0
Current State: 31:[29, 53], Operations: ['87-23=64', '64-11=53']
Exploring Operation: 29+53=82, Resulting Numbers: [82]
82,31 unequal: No Solution
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[11, 35], Operations: ['87-23=64', '64-29=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
50,
41,
61,
53
] | 83 | [
"50+41=91",
"61-53=8",
"91-8=83"
] | Current State: 83:[50, 41, 61, 53], Operations: []
Exploring Operation: 50+41=91, Resulting Numbers: [61, 53, 91]
Generated Node #2: [61, 53, 91] from Operation: 50+41=91
Current State: 83:[61, 53, 91], Operations: ['50+41=91']
Exploring Operation: 61-53=8, Resulting Numbers: [91, 8]
Generated Node #3: [91, 8] from Operation: 61-53=8
Current State: 83:[91, 8], Operations: ['50+41=91', '61-53=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[50, 41, 61, 53], Operations: []
Exploring Operation: 50+41=91, Resulting Numbers: [61, 53, 91]
Generated Node #0,0: 83:[61, 53, 91] Operation: 50+41=91
Exploring Operation: 41+53=94, Resulting Numbers: [50, 61, 94]
Generated Node #0,1: 83:[50, 61, 94] Operation: 41+53=94
Moving to Node #0,0
Current State: 83:[61, 53, 91], Operations: ['50+41=91']
Exploring Operation: 91-53=38, Resulting Numbers: [61, 38]
Generated Node #0,0,0: 83:[61, 38] Operation: 91-53=38
Exploring Operation: 61+53=114, Resulting Numbers: [91, 114]
Generated Node #0,0,1: 83:[91, 114] Operation: 61+53=114
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[91, 114], Operations: ['50+41=91', '61+53=114']
Exploring Operation: 114-91=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 91+114=205, Resulting Numbers: [205]
205,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[61, 38], Operations: ['50+41=91', '91-53=38']
Exploring Operation: 61+38=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,83 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:[50, 61, 94], Operations: ['41+53=94']
Exploring Operation: 50+61=111, Resulting Numbers: [94, 111]
Generated Node #0,1,0: 83:[94, 111] Operation: 50+61=111
Exploring Operation: 94-50=44, Resulting Numbers: [61, 44]
Generated Node #0,1,1: 83:[61, 44] Operation: 94-50=44
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[94, 111], Operations: ['41+53=94', '50+61=111']
Exploring Operation: 111-94=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 94+111=205, Resulting Numbers: [205]
205,83 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:[61, 44], Operations: ['41+53=94', '94-50=44']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
30,
23,
41,
16
] | 15 | [
"41-23=18",
"18-16=2",
"30/2=15"
] | Current State: 15:[30, 23, 41, 16], Operations: []
Exploring Operation: 41-23=18, Resulting Numbers: [30, 16, 18]
Generated Node #2: [30, 16, 18] from Operation: 41-23=18
Current State: 15:[30, 16, 18], Operations: ['41-23=18']
Exploring Operation: 18-16=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 18-16=2
Current State: 15:[30, 2], Operations: ['41-23=18', '18-16=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[30, 23, 41, 16], Operations: []
Exploring Operation: 41-30=11, Resulting Numbers: [23, 16, 11]
Generated Node #0,0: 15:[23, 16, 11] Operation: 41-30=11
Exploring Operation: 41-23=18, Resulting Numbers: [30, 16, 18]
Generated Node #0,1: 15:[30, 16, 18] Operation: 41-23=18
Moving to Node #0,0
Current State: 15:[23, 16, 11], Operations: ['41-30=11']
Exploring Operation: 23-11=12, Resulting Numbers: [16, 12]
Generated Node #0,0,0: 15:[16, 12] Operation: 23-11=12
Exploring Operation: 23-16=7, Resulting Numbers: [11, 7]
Generated Node #0,0,1: 15:[11, 7] Operation: 23-16=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[16, 12], Operations: ['41-30=11', '23-11=12']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[11, 7], Operations: ['41-30=11', '23-16=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,15 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: 15:[30, 16, 18], Operations: ['41-23=18']
Exploring Operation: 30-16=14, Resulting Numbers: [18, 14]
Generated Node #0,1,0: 15:[18, 14] Operation: 30-16=14
Exploring Operation: 30-18=12, Resulting Numbers: [16, 12]
Generated Node #0,1,1: 15:[16, 12] Operation: 30-18=12
Moving to Node #0,1,0
Current State: 15:[18, 14], Operations: ['41-23=18', '30-16=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[16, 12], Operations: ['41-23=18', '30-18=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
80,
33,
50,
9
] | 73 | [
"50-33=17",
"9*17=153",
"153-80=73"
] | Current State: 73:[80, 33, 50, 9], Operations: []
Exploring Operation: 50-33=17, Resulting Numbers: [80, 9, 17]
Generated Node #2: [80, 9, 17] from Operation: 50-33=17
Current State: 73:[80, 9, 17], Operations: ['50-33=17']
Exploring Operation: 9*17=153, Resulting Numbers: [80, 153]
Generated Node #3: [80, 153] from Operation: 9*17=153
Current State: 73:[80, 153], Operations: ['50-33=17', '9*17=153']
Exploring Operation: 153-80=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[80, 33, 50, 9], Operations: []
Exploring Operation: 80-9=71, Resulting Numbers: [33, 50, 71]
Generated Node #0,0: 73:[33, 50, 71] Operation: 80-9=71
Exploring Operation: 80+9=89, Resulting Numbers: [33, 50, 89]
Generated Node #0,1: 73:[33, 50, 89] Operation: 80+9=89
Exploring Operation: 50+9=59, Resulting Numbers: [80, 33, 59]
Generated Node #0,2: 73:[80, 33, 59] Operation: 50+9=59
Exploring Operation: 33+9=42, Resulting Numbers: [80, 50, 42]
Generated Node #0,3: 73:[80, 50, 42] Operation: 33+9=42
Moving to Node #0,2
Current State: 73:[80, 33, 59], Operations: ['50+9=59']
Exploring Operation: 59-33=26, Resulting Numbers: [80, 26]
Generated Node #0,2,0: 73:[80, 26] Operation: 59-33=26
Exploring Operation: 80+33=113, Resulting Numbers: [59, 113]
Generated Node #0,2,1: 73:[59, 113] Operation: 80+33=113
Exploring Operation: 80-33=47, Resulting Numbers: [59, 47]
Generated Node #0,2,2: 73:[59, 47] Operation: 80-33=47
Exploring Operation: 33+59=92, Resulting Numbers: [80, 92]
Generated Node #0,2,3: 73:[80, 92] Operation: 33+59=92
Moving to Node #0,3
Current State: 73:[80, 50, 42], Operations: ['33+9=42']
Exploring Operation: 80+42=122, Resulting Numbers: [50, 122]
Generated Node #0,3,0: 73:[50, 122] Operation: 80+42=122
Exploring Operation: 50-42=8, Resulting Numbers: [80, 8]
Generated Node #0,3,1: 73:[80, 8] Operation: 50-42=8
Exploring Operation: 50+42=92, Resulting Numbers: [80, 92]
Generated Node #0,3,2: 73:[80, 92] Operation: 50+42=92
Exploring Operation: 80-42=38, Resulting Numbers: [50, 38]
Generated Node #0,3,3: 73:[50, 38] Operation: 80-42=38
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[80, 92], Operations: ['33+9=42', '50+42=92']
Exploring Operation: 80*92=7360, Resulting Numbers: [7360]
7360,73 unequal: No Solution
Exploring Operation: 80+92=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,73 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:[50, 38], Operations: ['33+9=42', '80-42=38']
Exploring Operation: 50*38=1900, Resulting Numbers: [1900]
1900,73 unequal: No Solution
Exploring Operation: 50+38=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,73 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:[50, 122], Operations: ['33+9=42', '80+42=122']
Exploring Operation: 50*122=6100, Resulting Numbers: [6100]
6100,73 unequal: No Solution
Exploring Operation: 122-50=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 50+122=172, Resulting Numbers: [172]
172,73 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:[80, 8], Operations: ['33+9=42', '50-42=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 80*8=640, Resulting Numbers: [640]
640,73 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,73 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: 73:[33, 50, 71], Operations: ['80-9=71']
Exploring Operation: 50-33=17, Resulting Numbers: [71, 17]
Generated Node #0,0,0: 73:[71, 17] Operation: 50-33=17
Exploring Operation: 71-33=38, Resulting Numbers: [50, 38]
Generated Node #0,0,1: 73:[50, 38] Operation: 71-33=38
Exploring Operation: 33+50=83, Resulting Numbers: [71, 83]
Generated Node #0,0,2: 73:[71, 83] Operation: 33+50=83
Exploring Operation: 33+71=104, Resulting Numbers: [50, 104]
Generated Node #0,0,3: 73:[50, 104] Operation: 33+71=104
Moving to Node #0,1
Current State: 73:[33, 50, 89], Operations: ['80+9=89']
Exploring Operation: 89-33=56, Resulting Numbers: [50, 56]
Generated Node #0,1,0: 73:[50, 56] Operation: 89-33=56
Exploring Operation: 33+50=83, Resulting Numbers: [89, 83]
Generated Node #0,1,1: 73:[89, 83] Operation: 33+50=83
Exploring Operation: 50-33=17, Resulting Numbers: [89, 17]
Generated Node #0,1,2: 73:[89, 17] Operation: 50-33=17
Exploring Operation: 33+89=122, Resulting Numbers: [50, 122]
Generated Node #0,1,3: 73:[50, 122] Operation: 33+89=122
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[89, 83], Operations: ['80+9=89', '33+50=83']
Exploring Operation: 89*83=7387, Resulting Numbers: [7387]
7387,73 unequal: No Solution
Exploring Operation: 89+83=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 89-83=6, Resulting Numbers: [6]
6,73 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:[50, 56], Operations: ['80+9=89', '89-33=56']
Exploring Operation: 50*56=2800, Resulting Numbers: [2800]
2800,73 unequal: No Solution
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 50+56=106, Resulting Numbers: [106]
106,73 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:[89, 17], Operations: ['80+9=89', '50-33=17']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 89*17=1513, Resulting Numbers: [1513]
1513,73 unequal: No Solution
Exploring Operation: 89+17=106, Resulting Numbers: [106]
106,73 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:[50, 122], Operations: ['80+9=89', '33+89=122']
Exploring Operation: 50+122=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 50*122=6100, Resulting Numbers: [6100]
6100,73 unequal: No Solution
Exploring Operation: 122-50=72, Resulting Numbers: [72]
72,73 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: 73:[71, 83], Operations: ['80-9=71', '33+50=83']
Exploring Operation: 71*83=5893, Resulting Numbers: [5893]
5893,73 unequal: No Solution
Exploring Operation: 71+83=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Exploring Operation: 83-71=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[80, 92], Operations: ['50+9=59', '33+59=92']
Exploring Operation: 80+92=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 80*92=7360, Resulting Numbers: [7360]
7360,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[59, 47], Operations: ['50+9=59', '80-33=47']
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 59+47=106, Resulting Numbers: [106]
106,73 unequal: No Solution
Exploring Operation: 59*47=2773, Resulting Numbers: [2773]
2773,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[80, 26], Operations: ['50+9=59', '59-33=26']
Exploring Operation: 80+26=106, Resulting Numbers: [106]
106,73 unequal: No Solution
Exploring Operation: 80*26=2080, Resulting Numbers: [2080]
2080,73 unequal: No Solution
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[50, 104], Operations: ['80-9=71', '33+71=104']
Exploring Operation: 50+104=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Exploring Operation: 50*104=5200, Resulting Numbers: [5200]
5200,73 unequal: No Solution
Exploring Operation: 104-50=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[59, 113], Operations: ['50+9=59', '80+33=113']
Exploring Operation: 59+113=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 113-59=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 59*113=6667, Resulting Numbers: [6667]
6667,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[71, 17], Operations: ['80-9=71', '50-33=17']
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,73 unequal: No Solution
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[50, 38], Operations: ['80-9=71', '71-33=38']
Exploring Operation: 50*38=1900, Resulting Numbers: [1900]
1900,73 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 50+38=88, Resulting Numbers: [88]
88,73 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
54,
58,
8,
66
] | 87 | [
"66-54=12",
"58*12=696",
"696/8=87"
] | Current State: 87:[54, 58, 8, 66], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [58, 8, 12]
Generated Node #2: [58, 8, 12] from Operation: 66-54=12
Current State: 87:[58, 8, 12], Operations: ['66-54=12']
Exploring Operation: 58*12=696, Resulting Numbers: [8, 696]
Generated Node #3: [8, 696] from Operation: 58*12=696
Current State: 87:[8, 696], Operations: ['66-54=12', '58*12=696']
Exploring Operation: 696/8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[54, 58, 8, 66], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [8, 66, 4]
Generated Node #0,0: 87:[8, 66, 4] Operation: 58-54=4
Exploring Operation: 66-54=12, Resulting Numbers: [58, 8, 12]
Generated Node #0,1: 87:[58, 8, 12] Operation: 66-54=12
Exploring Operation: 66-58=8, Resulting Numbers: [54, 8, 8]
Generated Node #0,2: 87:[54, 8, 8] Operation: 66-58=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[8, 66, 4], Operations: ['58-54=4']
Exploring Operation: 8-4=4, Resulting Numbers: [66, 4]
Generated Node #0,0,0: 87:[66, 4] Operation: 8-4=4
Exploring Operation: 8+66=74, Resulting Numbers: [4, 74]
Generated Node #0,0,1: 87:[4, 74] Operation: 8+66=74
Exploring Operation: 8/4=2, Resulting Numbers: [66, 2]
Generated Node #0,0,2: 87:[66, 2] Operation: 8/4=2
Moving to Node #0,0,1
Current State: 87:[4, 74], Operations: ['58-54=4', '8+66=74']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 4*74=296, Resulting Numbers: [296]
296,87 unequal: No Solution
Exploring Operation: 4+74=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[66, 4], Operations: ['58-54=4', '8-4=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,87 unequal: No Solution
Exploring Operation: 66*4=264, Resulting Numbers: [264]
264,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[66, 2], Operations: ['58-54=4', '8/4=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,87 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
Current State: 87:[54, 8, 8], Operations: ['66-58=8']
Exploring Operation: 54-8=46, Resulting Numbers: [8, 46]
Generated Node #0,2,0: 87:[8, 46] Operation: 54-8=46
Exploring Operation: 8/8=1, Resulting Numbers: [54, 1]
Generated Node #0,2,1: 87:[54, 1] Operation: 8/8=1
Exploring Operation: 54-8=46, Resulting Numbers: [8, 46]
Generated Node #0,2,2: 87:[8, 46] Operation: 54-8=46
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 87:[8, 46], Operations: ['66-58=8', '54-8=46']
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,87 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,87 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 #0,2,2
Current State: 87:[8, 46], Operations: ['66-58=8', '54-8=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,87 unequal: No Solution
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,87 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,87 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 #0,2,1
Current State: 87:[54, 1], Operations: ['66-58=8', '8/8=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,87 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,87 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:[58, 8, 12], Operations: ['66-54=12']
Exploring Operation: 58+12=70, Resulting Numbers: [8, 70]
Generated Node #0,1,0: 87:[8, 70] Operation: 58+12=70
Exploring Operation: 58-12=46, Resulting Numbers: [8, 46]
Generated Node #0,1,1: 87:[8, 46] Operation: 58-12=46
Exploring Operation: 58+8=66, Resulting Numbers: [12, 66]
Generated Node #0,1,2: 87:[12, 66] Operation: 58+8=66
Moving to Node #0,1,0
Current State: 87:[8, 70], Operations: ['66-54=12', '58+12=70']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,87 unequal: No Solution
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[8, 46], Operations: ['66-54=12', '58-12=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,87 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[12, 66], Operations: ['66-54=12', '58+8=66']
Exploring Operation: 12+66=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,87 unequal: No Solution
Exploring Operation: 12*66=792, Resulting Numbers: [792]
792,87 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 |
[
18,
40,
38,
5
] | 54 | [
"40-38=2",
"5-2=3",
"18*3=54"
] | Current State: 54:[18, 40, 38, 5], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [18, 5, 2]
Generated Node #2: [18, 5, 2] from Operation: 40-38=2
Current State: 54:[18, 5, 2], Operations: ['40-38=2']
Exploring Operation: 5-2=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 5-2=3
Current State: 54:[18, 3], Operations: ['40-38=2', '5-2=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[18, 40, 38, 5], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [18, 38, 8]
Generated Node #0,0: 54:[18, 38, 8] Operation: 40/5=8
Exploring Operation: 18+40=58, Resulting Numbers: [38, 5, 58]
Generated Node #0,1: 54:[38, 5, 58] Operation: 18+40=58
Exploring Operation: 40-38=2, Resulting Numbers: [18, 5, 2]
Generated Node #0,2: 54:[18, 5, 2] Operation: 40-38=2
Moving to Node #0,2
Current State: 54:[18, 5, 2], Operations: ['40-38=2']
Exploring Operation: 5-2=3, Resulting Numbers: [18, 3]
Generated Node #0,2,0: 54:[18, 3] Operation: 5-2=3
Exploring Operation: 5+2=7, Resulting Numbers: [18, 7]
Generated Node #0,2,1: 54:[18, 7] Operation: 5+2=7
Exploring Operation: 18/2=9, Resulting Numbers: [5, 9]
Generated Node #0,2,2: 54:[5, 9] Operation: 18/2=9
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 54:[18, 3], Operations: ['40-38=2', '5-2=3']
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,54 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[18, 40, 38, 5], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [18, 5, 2]
Generated Node #0,2: 54:[18, 5, 2] Operation: 40-38=2
Moving to Node #0,2
Current State: 54:[18, 5, 2], Operations: ['40-38=2']
Exploring Operation: 5-2=3, Resulting Numbers: [18, 3]
Generated Node #0,2,0: 54:[18, 3] Operation: 5-2=3
Moving to Node #0,2,0
Current State: 54:[18, 3], Operations: ['40-38=2', '5-2=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
46,
16,
42,
20
] | 80 | [
"46-42=4",
"16*20=320",
"320/4=80"
] | Current State: 80:[46, 16, 42, 20], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [16, 20, 4]
Generated Node #2: [16, 20, 4] from Operation: 46-42=4
Current State: 80:[16, 20, 4], Operations: ['46-42=4']
Exploring Operation: 16*20=320, Resulting Numbers: [4, 320]
Generated Node #3: [4, 320] from Operation: 16*20=320
Current State: 80:[4, 320], Operations: ['46-42=4', '16*20=320']
Exploring Operation: 320/4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[46, 16, 42, 20], Operations: []
Exploring Operation: 42-20=22, Resulting Numbers: [46, 16, 22]
Generated Node #0,0: 80:[46, 16, 22] Operation: 42-20=22
Exploring Operation: 46-20=26, Resulting Numbers: [16, 42, 26]
Generated Node #0,1: 80:[16, 42, 26] Operation: 46-20=26
Exploring Operation: 20-16=4, Resulting Numbers: [46, 42, 4]
Generated Node #0,2: 80:[46, 42, 4] Operation: 20-16=4
Exploring Operation: 46+42=88, Resulting Numbers: [16, 20, 88]
Generated Node #0,3: 80:[16, 20, 88] Operation: 46+42=88
Exploring Operation: 46-42=4, Resulting Numbers: [16, 20, 4]
Generated Node #0,4: 80:[16, 20, 4] Operation: 46-42=4
Moving to Node #0,4
Current State: 80:[16, 20, 4], Operations: ['46-42=4']
Exploring Operation: 16+4=20, Resulting Numbers: [20, 20]
Generated Node #0,4,0: 80:[20, 20] Operation: 16+4=20
Exploring Operation: 20-4=16, Resulting Numbers: [16, 16]
Generated Node #0,4,1: 80:[16, 16] Operation: 20-4=16
Exploring Operation: 20*4=80, Resulting Numbers: [16, 80]
Generated Node #0,4,2: 80:[16, 80] Operation: 20*4=80
Exploring Operation: 20-16=4, Resulting Numbers: [4, 4]
Generated Node #0,4,3: 80:[4, 4] Operation: 20-16=4
Exploring Operation: 16/4=4, Resulting Numbers: [20, 4]
Generated Node #0,4,4: 80:[20, 4] Operation: 16/4=4
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 80:[20, 20], Operations: ['46-42=4', '16+4=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,80 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 80:[16, 16], Operations: ['46-42=4', '20-4=16']
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,80 unequal: No Solution
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 80:[16, 80], Operations: ['46-42=4', '20*4=80']
Exploring Operation: 80/16=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Exploring Operation: 16+80=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Exploring Operation: 16*80=1280, Resulting Numbers: [1280]
1280,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 80:[4, 4], Operations: ['46-42=4', '20-16=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 80:[20, 4], Operations: ['46-42=4', '16/4=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,80 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[46, 16, 42, 20], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [16, 20, 4]
Generated Node #0,4: 80:[16, 20, 4] Operation: 46-42=4
Moving to Node #0,4
Current State: 80:[16, 20, 4], Operations: ['46-42=4']
Exploring Operation: 16/4=4, Resulting Numbers: [20, 4]
Generated Node #0,4,4: 80:[20, 4] Operation: 16/4=4
Moving to Node #0,4,4
Current State: 80:[20, 4], Operations: ['46-42=4', '16/4=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_5 | sum_heuristic |
[
4,
55,
83,
11
] | 72 | [
"4*11=44",
"83-55=28",
"44+28=72"
] | Current State: 72:[4, 55, 83, 11], Operations: []
Exploring Operation: 4*11=44, Resulting Numbers: [55, 83, 44]
Generated Node #2: [55, 83, 44] from Operation: 4*11=44
Current State: 72:[55, 83, 44], Operations: ['4*11=44']
Exploring Operation: 83-55=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 83-55=28
Current State: 72:[44, 28], Operations: ['4*11=44', '83-55=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[4, 55, 83, 11], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [4, 83, 5]
Generated Node #0,0: 72:[4, 83, 5] Operation: 55/11=5
Exploring Operation: 83-55=28, Resulting Numbers: [4, 11, 28]
Generated Node #0,1: 72:[4, 11, 28] Operation: 83-55=28
Exploring Operation: 55+11=66, Resulting Numbers: [4, 83, 66]
Generated Node #0,2: 72:[4, 83, 66] Operation: 55+11=66
Exploring Operation: 83-11=72, Resulting Numbers: [4, 55, 72]
Generated Node #0,3: 72:[4, 55, 72] Operation: 83-11=72
Moving to Node #0,1
Current State: 72:[4, 11, 28], Operations: ['83-55=28']
Exploring Operation: 11+28=39, Resulting Numbers: [4, 39]
Generated Node #0,1,0: 72:[4, 39] Operation: 11+28=39
Exploring Operation: 28-11=17, Resulting Numbers: [4, 17]
Generated Node #0,1,1: 72:[4, 17] Operation: 28-11=17
Exploring Operation: 28/4=7, Resulting Numbers: [11, 7]
Generated Node #0,1,2: 72:[11, 7] Operation: 28/4=7
Exploring Operation: 28-4=24, Resulting Numbers: [11, 24]
Generated Node #0,1,3: 72:[11, 24] Operation: 28-4=24
Moving to Node #0,0
Current State: 72:[4, 83, 5], Operations: ['55/11=5']
Exploring Operation: 4+5=9, Resulting Numbers: [83, 9]
Generated Node #0,0,0: 72:[83, 9] Operation: 4+5=9
Exploring Operation: 83-4=79, Resulting Numbers: [5, 79]
Generated Node #0,0,1: 72:[5, 79] Operation: 83-4=79
Exploring Operation: 83-5=78, Resulting Numbers: [4, 78]
Generated Node #0,0,2: 72:[4, 78] Operation: 83-5=78
Exploring Operation: 5-4=1, Resulting Numbers: [83, 1]
Generated Node #0,0,3: 72:[83, 1] Operation: 5-4=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[4, 78], Operations: ['55/11=5', '83-5=78']
Exploring Operation: 4+78=82, Resulting Numbers: [82]
82,72 unequal: No Solution
Exploring Operation: 4*78=312, Resulting Numbers: [312]
312,72 unequal: No Solution
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[5, 79], Operations: ['55/11=5', '83-4=79']
Exploring Operation: 5+79=84, Resulting Numbers: [84]
84,72 unequal: No Solution
Exploring Operation: 5*79=395, Resulting Numbers: [395]
395,72 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[83, 9], Operations: ['55/11=5', '4+5=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,72 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,72 unequal: No Solution
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 72:[83, 1], Operations: ['55/11=5', '5-4=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,72 unequal: No Solution
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,72 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: 72:[4, 55, 72], Operations: ['83-11=72']
Exploring Operation: 72-55=17, Resulting Numbers: [4, 17]
Generated Node #0,3,0: 72:[4, 17] Operation: 72-55=17
Exploring Operation: 72/4=18, Resulting Numbers: [55, 18]
Generated Node #0,3,1: 72:[55, 18] Operation: 72/4=18
Exploring Operation: 55-4=51, Resulting Numbers: [72, 51]
Generated Node #0,3,2: 72:[72, 51] Operation: 55-4=51
Exploring Operation: 4+55=59, Resulting Numbers: [72, 59]
Generated Node #0,3,3: 72:[72, 59] Operation: 4+55=59
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 72:[4, 17], Operations: ['83-11=72', '72-55=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,72 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 72:[72, 59], Operations: ['83-11=72', '4+55=59']
Exploring Operation: 72+59=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 72*59=4248, Resulting Numbers: [4248]
4248,72 unequal: No Solution
Exploring Operation: 72-59=13, Resulting Numbers: [13]
13,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 72:[72, 51], Operations: ['83-11=72', '55-4=51']
Exploring Operation: 72*51=3672, Resulting Numbers: [3672]
3672,72 unequal: No Solution
Exploring Operation: 72+51=123, Resulting Numbers: [123]
123,72 unequal: No Solution
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 72:[55, 18], Operations: ['83-11=72', '72/4=18']
Exploring Operation: 55*18=990, Resulting Numbers: [990]
990,72 unequal: No Solution
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,72 unequal: No Solution
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,72 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: 72:[4, 83, 66], Operations: ['55+11=66']
Exploring Operation: 83-4=79, Resulting Numbers: [66, 79]
Generated Node #0,2,0: 72:[66, 79] Operation: 83-4=79
Exploring Operation: 4+83=87, Resulting Numbers: [66, 87]
Generated Node #0,2,1: 72:[66, 87] Operation: 4+83=87
Exploring Operation: 83-66=17, Resulting Numbers: [4, 17]
Generated Node #0,2,2: 72:[4, 17] Operation: 83-66=17
Exploring Operation: 4+66=70, Resulting Numbers: [83, 70]
Generated Node #0,2,3: 72:[83, 70] Operation: 4+66=70
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[4, 17], Operations: ['55+11=66', '83-66=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,72 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[66, 79], Operations: ['55+11=66', '83-4=79']
Exploring Operation: 66*79=5214, Resulting Numbers: [5214]
5214,72 unequal: No Solution
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 66+79=145, Resulting Numbers: [145]
145,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[83, 70], Operations: ['55+11=66', '4+66=70']
Exploring Operation: 83*70=5810, Resulting Numbers: [5810]
5810,72 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 83+70=153, Resulting Numbers: [153]
153,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[66, 87], Operations: ['55+11=66', '4+83=87']
Exploring Operation: 66+87=153, Resulting Numbers: [153]
153,72 unequal: No Solution
Exploring Operation: 66*87=5742, Resulting Numbers: [5742]
5742,72 unequal: No Solution
Exploring Operation: 87-66=21, Resulting Numbers: [21]
21,72 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: 72:[4, 17], Operations: ['83-55=28', '28-11=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,72 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[11, 24], Operations: ['83-55=28', '28-4=24']
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,72 unequal: No Solution
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[11, 7], Operations: ['83-55=28', '28/4=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,72 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,72 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[4, 39], Operations: ['83-55=28', '11+28=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,72 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,72 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
52,
38,
16,
36
] | 10 | [
"38-36=2",
"52/2=26",
"26-16=10"
] | Current State: 10:[52, 38, 16, 36], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [52, 16, 2]
Generated Node #2: [52, 16, 2] from Operation: 38-36=2
Current State: 10:[52, 16, 2], Operations: ['38-36=2']
Exploring Operation: 52/2=26, Resulting Numbers: [16, 26]
Generated Node #3: [16, 26] from Operation: 52/2=26
Current State: 10:[16, 26], Operations: ['38-36=2', '52/2=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[52, 38, 16, 36], Operations: []
Exploring Operation: 52-38=14, Resulting Numbers: [16, 36, 14]
Generated Node #0,0: 10:[16, 36, 14] Operation: 52-38=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[16, 36, 14], Operations: ['52-38=14']
Exploring Operation: 36-16=20, Resulting Numbers: [14, 20]
Generated Node #0,0,0: 10:[14, 20] Operation: 36-16=20
Moving to Node #0,0,0
Current State: 10:[14, 20], Operations: ['52-38=14', '36-16=20']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
90,
6,
63,
40
] | 78 | [
"90-63=27",
"40-27=13",
"6*13=78"
] | Current State: 78:[90, 6, 63, 40], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [6, 40, 27]
Generated Node #2: [6, 40, 27] from Operation: 90-63=27
Current State: 78:[6, 40, 27], Operations: ['90-63=27']
Exploring Operation: 40-27=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 40-27=13
Current State: 78:[6, 13], Operations: ['90-63=27', '40-27=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[90, 6, 63, 40], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [63, 40, 15]
Generated Node #0,0: 78:[63, 40, 15] Operation: 90/6=15
Exploring Operation: 63-40=23, Resulting Numbers: [90, 6, 23]
Generated Node #0,1: 78:[90, 6, 23] Operation: 63-40=23
Exploring Operation: 90-6=84, Resulting Numbers: [63, 40, 84]
Generated Node #0,2: 78:[63, 40, 84] Operation: 90-6=84
Exploring Operation: 90-63=27, Resulting Numbers: [6, 40, 27]
Generated Node #0,3: 78:[6, 40, 27] Operation: 90-63=27
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[6, 40, 27], Operations: ['90-63=27']
Exploring Operation: 40-6=34, Resulting Numbers: [27, 34]
Generated Node #0,3,0: 78:[27, 34] Operation: 40-6=34
Exploring Operation: 6+27=33, Resulting Numbers: [40, 33]
Generated Node #0,3,1: 78:[40, 33] Operation: 6+27=33
Exploring Operation: 40-27=13, Resulting Numbers: [6, 13]
Generated Node #0,3,2: 78:[6, 13] Operation: 40-27=13
Exploring Operation: 27-6=21, Resulting Numbers: [40, 21]
Generated Node #0,3,3: 78:[40, 21] Operation: 27-6=21
Moving to Node #0,3,2
Current State: 78:[6, 13], Operations: ['90-63=27', '40-27=13']
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,78 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[90, 6, 63, 40], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [6, 40, 27]
Generated Node #0,3: 78:[6, 40, 27] Operation: 90-63=27
Moving to Node #0,3
Current State: 78:[6, 40, 27], Operations: ['90-63=27']
Exploring Operation: 40-27=13, Resulting Numbers: [6, 13]
Generated Node #0,3,2: 78:[6, 13] Operation: 40-27=13
Moving to Node #0,3,2
Current State: 78:[6, 13], Operations: ['90-63=27', '40-27=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
55,
39,
39,
17
] | 72 | [
"55+39=94",
"39-17=22",
"94-22=72"
] | Current State: 72:[55, 39, 39, 17], Operations: []
Exploring Operation: 55+39=94, Resulting Numbers: [17, 94]
Generated Node #2: [17, 94] from Operation: 55+39=94
Current State: 72:[17, 94], Operations: ['55+39=94']
Exploring Operation: 39-17=22, Resulting Numbers: [94, 22]
Generated Node #3: [94, 22] from Operation: 39-17=22
Current State: 72:[94, 22], Operations: ['55+39=94', '39-17=22']
Exploring Operation: 94-22=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[55, 39, 39, 17], Operations: []
Exploring Operation: 55-39=16, Resulting Numbers: [39, 17, 16]
Generated Node #0,0: 72:[39, 17, 16] Operation: 55-39=16
Exploring Operation: 55-39=16, Resulting Numbers: [39, 17, 16]
Generated Node #0,1: 72:[39, 17, 16] Operation: 55-39=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[39, 17, 16], Operations: ['55-39=16']
Exploring Operation: 39-17=22, Resulting Numbers: [16, 22]
Generated Node #0,0,0: 72:[16, 22] Operation: 39-17=22
Exploring Operation: 39-16=23, Resulting Numbers: [17, 23]
Generated Node #0,0,1: 72:[17, 23] Operation: 39-16=23
Moving to Node #0,0,1
Current State: 72:[17, 23], Operations: ['55-39=16', '39-16=23']
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[16, 22], Operations: ['55-39=16', '39-17=22']
Exploring Operation: 16+22=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[39, 17, 16], Operations: ['55-39=16']
Exploring Operation: 39-16=23, Resulting Numbers: [17, 23]
Generated Node #0,1,0: 72:[17, 23] Operation: 39-16=23
Exploring Operation: 39-17=22, Resulting Numbers: [16, 22]
Generated Node #0,1,1: 72:[16, 22] Operation: 39-17=22
Moving to Node #0,1,0
Current State: 72:[17, 23], Operations: ['55-39=16', '39-16=23']
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[16, 22], Operations: ['55-39=16', '39-17=22']
Exploring Operation: 16+22=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
44,
35,
88,
67
] | 16 | [
"88/44=2",
"67-35=32",
"32/2=16"
] | Current State: 16:[44, 35, 88, 67], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [35, 67, 2]
Generated Node #2: [35, 67, 2] from Operation: 88/44=2
Current State: 16:[35, 67, 2], Operations: ['88/44=2']
Exploring Operation: 67-35=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 67-35=32
Current State: 16:[2, 32], Operations: ['88/44=2', '67-35=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[44, 35, 88, 67], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [44, 35, 21]
Generated Node #0,0: 16:[44, 35, 21] Operation: 88-67=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[44, 35, 21], Operations: ['88-67=21']
Exploring Operation: 44-35=9, Resulting Numbers: [21, 9]
Generated Node #0,0,0: 16:[21, 9] Operation: 44-35=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[21, 9], Operations: ['88-67=21', '44-35=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,16 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
31,
44,
62,
67
] | 15 | [
"31+44=75",
"67-62=5",
"75/5=15"
] | Current State: 15:[31, 44, 62, 67], Operations: []
Exploring Operation: 31+44=75, Resulting Numbers: [62, 67, 75]
Generated Node #2: [62, 67, 75] from Operation: 31+44=75
Current State: 15:[62, 67, 75], Operations: ['31+44=75']
Exploring Operation: 67-62=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 67-62=5
Current State: 15:[75, 5], Operations: ['31+44=75', '67-62=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[31, 44, 62, 67], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [31, 44, 5]
Generated Node #0,0: 15:[31, 44, 5] Operation: 67-62=5
Moving to Node #0,0
Current State: 15:[31, 44, 5], Operations: ['67-62=5']
Exploring Operation: 44-31=13, Resulting Numbers: [5, 13]
Generated Node #0,0,0: 15:[5, 13] Operation: 44-31=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[5, 13], Operations: ['67-62=5', '44-31=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
29,
34,
96,
49
] | 82 | [
"29+34=63",
"96+49=145",
"145-63=82"
] | Current State: 82:[29, 34, 96, 49], Operations: []
Exploring Operation: 29+34=63, Resulting Numbers: [96, 49, 63]
Generated Node #2: [96, 49, 63] from Operation: 29+34=63
Current State: 82:[96, 49, 63], Operations: ['29+34=63']
Exploring Operation: 96+49=145, Resulting Numbers: [63, 145]
Generated Node #3: [63, 145] from Operation: 96+49=145
Current State: 82:[63, 145], Operations: ['29+34=63', '96+49=145']
Exploring Operation: 145-63=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[29, 34, 96, 49], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [96, 49, 5]
Generated Node #0,0: 82:[96, 49, 5] Operation: 34-29=5
Exploring Operation: 29+49=78, Resulting Numbers: [34, 96, 78]
Generated Node #0,1: 82:[34, 96, 78] Operation: 29+49=78
Moving to Node #0,0
Current State: 82:[96, 49, 5], Operations: ['34-29=5']
Exploring Operation: 96-5=91, Resulting Numbers: [49, 91]
Generated Node #0,0,0: 82:[49, 91] Operation: 96-5=91
Exploring Operation: 96-49=47, Resulting Numbers: [5, 47]
Generated Node #0,0,1: 82:[5, 47] Operation: 96-49=47
Moving to Node #0,1
Current State: 82:[34, 96, 78], Operations: ['29+49=78']
Exploring Operation: 78-34=44, Resulting Numbers: [96, 44]
Generated Node #0,1,0: 82:[96, 44] Operation: 78-34=44
Exploring Operation: 96-78=18, Resulting Numbers: [34, 18]
Generated Node #0,1,1: 82:[34, 18] Operation: 96-78=18
Moving to Node #0,0,1
Current State: 82:[5, 47], Operations: ['34-29=5', '96-49=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,82 unequal: No Solution
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[96, 44], Operations: ['29+49=78', '78-34=44']
Exploring Operation: 96+44=140, Resulting Numbers: [140]
140,82 unequal: No Solution
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[49, 91], Operations: ['34-29=5', '96-5=91']
Exploring Operation: 91-49=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 49+91=140, Resulting Numbers: [140]
140,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[34, 18], Operations: ['29+49=78', '96-78=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,82 unequal: No Solution
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,82 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
79,
76,
53,
15
] | 41 | [
"79-76=3",
"53-15=38",
"3+38=41"
] | Current State: 41:[79, 76, 53, 15], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [53, 15, 3]
Generated Node #2: [53, 15, 3] from Operation: 79-76=3
Current State: 41:[53, 15, 3], Operations: ['79-76=3']
Exploring Operation: 53-15=38, Resulting Numbers: [3, 38]
Generated Node #3: [3, 38] from Operation: 53-15=38
Current State: 41:[3, 38], Operations: ['79-76=3', '53-15=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[79, 76, 53, 15], Operations: []
Exploring Operation: 79-53=26, Resulting Numbers: [76, 15, 26]
Generated Node #0,0: 41:[76, 15, 26] Operation: 79-53=26
Exploring Operation: 76-15=61, Resulting Numbers: [79, 53, 61]
Generated Node #0,1: 41:[79, 53, 61] Operation: 76-15=61
Exploring Operation: 79-15=64, Resulting Numbers: [76, 53, 64]
Generated Node #0,2: 41:[76, 53, 64] Operation: 79-15=64
Exploring Operation: 79-76=3, Resulting Numbers: [53, 15, 3]
Generated Node #0,3: 41:[53, 15, 3] Operation: 79-76=3
Moving to Node #0,1
Current State: 41:[79, 53, 61], Operations: ['76-15=61']
Exploring Operation: 79-53=26, Resulting Numbers: [61, 26]
Generated Node #0,1,0: 41:[61, 26] Operation: 79-53=26
Exploring Operation: 61-53=8, Resulting Numbers: [79, 8]
Generated Node #0,1,1: 41:[79, 8] Operation: 61-53=8
Exploring Operation: 79-61=18, Resulting Numbers: [53, 18]
Generated Node #0,1,2: 41:[53, 18] Operation: 79-61=18
Exploring Operation: 79+53=132, Resulting Numbers: [61, 132]
Generated Node #0,1,3: 41:[61, 132] Operation: 79+53=132
Moving to Node #0,2
Current State: 41:[76, 53, 64], Operations: ['79-15=64']
Exploring Operation: 76-53=23, Resulting Numbers: [64, 23]
Generated Node #0,2,0: 41:[64, 23] Operation: 76-53=23
Exploring Operation: 64-53=11, Resulting Numbers: [76, 11]
Generated Node #0,2,1: 41:[76, 11] Operation: 64-53=11
Exploring Operation: 76-64=12, Resulting Numbers: [53, 12]
Generated Node #0,2,2: 41:[53, 12] Operation: 76-64=12
Exploring Operation: 76+53=129, Resulting Numbers: [64, 129]
Generated Node #0,2,3: 41:[64, 129] Operation: 76+53=129
Moving to Node #0,3
Current State: 41:[53, 15, 3], Operations: ['79-76=3']
Exploring Operation: 15*3=45, Resulting Numbers: [53, 45]
Generated Node #0,3,0: 41:[53, 45] Operation: 15*3=45
Exploring Operation: 53-3=50, Resulting Numbers: [15, 50]
Generated Node #0,3,1: 41:[15, 50] Operation: 53-3=50
Exploring Operation: 15+3=18, Resulting Numbers: [53, 18]
Generated Node #0,3,2: 41:[53, 18] Operation: 15+3=18
Exploring Operation: 53-15=38, Resulting Numbers: [3, 38]
Generated Node #0,3,3: 41:[3, 38] Operation: 53-15=38
Moving to Node #0,0
Current State: 41:[76, 15, 26], Operations: ['79-53=26']
Exploring Operation: 76-15=61, Resulting Numbers: [26, 61]
Generated Node #0,0,0: 41:[26, 61] Operation: 76-15=61
Exploring Operation: 76-26=50, Resulting Numbers: [15, 50]
Generated Node #0,0,1: 41:[15, 50] Operation: 76-26=50
Exploring Operation: 15+26=41, Resulting Numbers: [76, 41]
Generated Node #0,0,2: 41:[76, 41] Operation: 15+26=41
Exploring Operation: 76+15=91, Resulting Numbers: [26, 91]
Generated Node #0,0,3: 41:[26, 91] Operation: 76+15=91
Moving to Node #0,3,0
Current State: 41:[53, 45], Operations: ['79-76=3', '15*3=45']
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,41 unequal: No Solution
Exploring Operation: 53*45=2385, Resulting Numbers: [2385]
2385,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[26, 61], Operations: ['79-53=26', '76-15=61']
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 26*61=1586, Resulting Numbers: [1586]
1586,41 unequal: No Solution
Exploring Operation: 26+61=87, Resulting Numbers: [87]
87,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[15, 50], Operations: ['79-53=26', '76-26=50']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 15*50=750, Resulting Numbers: [750]
750,41 unequal: No Solution
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[76, 41], Operations: ['79-53=26', '15+26=41']
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,41 unequal: No Solution
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[61, 26], Operations: ['76-15=61', '79-53=26']
Exploring Operation: 61*26=1586, Resulting Numbers: [1586]
1586,41 unequal: No Solution
Exploring Operation: 61+26=87, Resulting Numbers: [87]
87,41 unequal: No Solution
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[15, 50], Operations: ['79-76=3', '53-3=50']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 15*50=750, Resulting Numbers: [750]
750,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[53, 18], Operations: ['79-76=3', '15+3=18']
Exploring Operation: 53*18=954, Resulting Numbers: [954]
954,41 unequal: No Solution
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[53, 18], Operations: ['76-15=61', '79-61=18']
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 53*18=954, Resulting Numbers: [954]
954,41 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[53, 12], Operations: ['79-15=64', '76-64=12']
Exploring Operation: 53*12=636, Resulting Numbers: [636]
636,41 unequal: No Solution
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[79, 76, 53, 15], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [76, 53, 64]
Generated Node #0,2: 41:[76, 53, 64] Operation: 79-15=64
Moving to Node #0,2
Current State: 41:[76, 53, 64], Operations: ['79-15=64']
Exploring Operation: 76-64=12, Resulting Numbers: [53, 12]
Generated Node #0,2,2: 41:[53, 12] Operation: 76-64=12
Moving to Node #0,2,2
Current State: 41:[53, 12], Operations: ['79-15=64', '76-64=12']
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.956597 | hs_4 | mult_heuristic |
[
28,
55,
29,
19
] | 35 | [
"28+55=83",
"29+19=48",
"83-48=35"
] | Current State: 35:[28, 55, 29, 19], Operations: []
Exploring Operation: 28+55=83, Resulting Numbers: [29, 19, 83]
Generated Node #2: [29, 19, 83] from Operation: 28+55=83
Current State: 35:[29, 19, 83], Operations: ['28+55=83']
Exploring Operation: 29+19=48, Resulting Numbers: [83, 48]
Generated Node #3: [83, 48] from Operation: 29+19=48
Current State: 35:[83, 48], Operations: ['28+55=83', '29+19=48']
Exploring Operation: 83-48=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[28, 55, 29, 19], Operations: []
Exploring Operation: 29-19=10, Resulting Numbers: [28, 55, 10]
Generated Node #0,0: 35:[28, 55, 10] Operation: 29-19=10
Exploring Operation: 55-28=27, Resulting Numbers: [29, 19, 27]
Generated Node #0,1: 35:[29, 19, 27] Operation: 55-28=27
Exploring Operation: 55-29=26, Resulting Numbers: [28, 19, 26]
Generated Node #0,2: 35:[28, 19, 26] Operation: 55-29=26
Exploring Operation: 55-19=36, Resulting Numbers: [28, 29, 36]
Generated Node #0,3: 35:[28, 29, 36] Operation: 55-19=36
Exploring Operation: 28-19=9, Resulting Numbers: [55, 29, 9]
Generated Node #0,4: 35:[55, 29, 9] Operation: 28-19=9
Moving to Node #0,3
Current State: 35:[28, 29, 36], Operations: ['55-19=36']
Exploring Operation: 28+36=64, Resulting Numbers: [29, 64]
Generated Node #0,3,0: 35:[29, 64] Operation: 28+36=64
Exploring Operation: 36-28=8, Resulting Numbers: [29, 8]
Generated Node #0,3,1: 35:[29, 8] Operation: 36-28=8
Exploring Operation: 36-29=7, Resulting Numbers: [28, 7]
Generated Node #0,3,2: 35:[28, 7] Operation: 36-29=7
Exploring Operation: 29-28=1, Resulting Numbers: [36, 1]
Generated Node #0,3,3: 35:[36, 1] Operation: 29-28=1
Exploring Operation: 28+29=57, Resulting Numbers: [36, 57]
Generated Node #0,3,4: 35:[36, 57] Operation: 28+29=57
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 35:[36, 1], Operations: ['55-19=36', '29-28=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[28, 55, 29, 19], Operations: []
Exploring Operation: 55-19=36, Resulting Numbers: [28, 29, 36]
Generated Node #0,3: 35:[28, 29, 36] Operation: 55-19=36
Moving to Node #0,3
Current State: 35:[28, 29, 36], Operations: ['55-19=36']
Exploring Operation: 29-28=1, Resulting Numbers: [36, 1]
Generated Node #0,3,3: 35:[36, 1] Operation: 29-28=1
Moving to Node #0,3,3
Current State: 35:[36, 1], Operations: ['55-19=36', '29-28=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
63,
60,
26,
94
] | 12 | [
"63+26=89",
"94-89=5",
"60/5=12"
] | Current State: 12:[63, 60, 26, 94], Operations: []
Exploring Operation: 63+26=89, Resulting Numbers: [60, 94, 89]
Generated Node #2: [60, 94, 89] from Operation: 63+26=89
Current State: 12:[60, 94, 89], Operations: ['63+26=89']
Exploring Operation: 94-89=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 94-89=5
Current State: 12:[60, 5], Operations: ['63+26=89', '94-89=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[63, 60, 26, 94], Operations: []
Exploring Operation: 94-60=34, Resulting Numbers: [63, 26, 34]
Generated Node #0,0: 12:[63, 26, 34] Operation: 94-60=34
Exploring Operation: 94-63=31, Resulting Numbers: [60, 26, 31]
Generated Node #0,1: 12:[60, 26, 31] Operation: 94-63=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[60, 26, 31], Operations: ['94-63=31']
Exploring Operation: 60-31=29, Resulting Numbers: [26, 29]
Generated Node #0,1,0: 12:[26, 29] Operation: 60-31=29
Exploring Operation: 60-26=34, Resulting Numbers: [31, 34]
Generated Node #0,1,1: 12:[31, 34] Operation: 60-26=34
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[26, 29], Operations: ['94-63=31', '60-31=29']
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No 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: 12:[31, 34], Operations: ['94-63=31', '60-26=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
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: 12:[63, 26, 34], Operations: ['94-60=34']
Exploring Operation: 63-34=29, Resulting Numbers: [26, 29]
Generated Node #0,0,0: 12:[26, 29] Operation: 63-34=29
Exploring Operation: 63-26=37, Resulting Numbers: [34, 37]
Generated Node #0,0,1: 12:[34, 37] Operation: 63-26=37
Moving to Node #0,0,0
Current State: 12:[26, 29], Operations: ['94-60=34', '63-34=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[34, 37], Operations: ['94-60=34', '63-26=37']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,12 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 |
[
42,
74,
50,
38
] | 56 | [
"74-42=32",
"50+38=88",
"88-32=56"
] | Current State: 56:[42, 74, 50, 38], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [50, 38, 32]
Generated Node #2: [50, 38, 32] from Operation: 74-42=32
Current State: 56:[50, 38, 32], Operations: ['74-42=32']
Exploring Operation: 50+38=88, Resulting Numbers: [32, 88]
Generated Node #3: [32, 88] from Operation: 50+38=88
Current State: 56:[32, 88], Operations: ['74-42=32', '50+38=88']
Exploring Operation: 88-32=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[42, 74, 50, 38], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [74, 38, 8]
Generated Node #0,0: 56:[74, 38, 8] Operation: 50-42=8
Exploring Operation: 42-38=4, Resulting Numbers: [74, 50, 4]
Generated Node #0,1: 56:[74, 50, 4] Operation: 42-38=4
Exploring Operation: 74-42=32, Resulting Numbers: [50, 38, 32]
Generated Node #0,2: 56:[50, 38, 32] Operation: 74-42=32
Exploring Operation: 74-50=24, Resulting Numbers: [42, 38, 24]
Generated Node #0,3: 56:[42, 38, 24] Operation: 74-50=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[50, 38, 32], Operations: ['74-42=32']
Exploring Operation: 50-38=12, Resulting Numbers: [32, 12]
Generated Node #0,2,0: 56:[32, 12] Operation: 50-38=12
Exploring Operation: 50-32=18, Resulting Numbers: [38, 18]
Generated Node #0,2,1: 56:[38, 18] Operation: 50-32=18
Exploring Operation: 38+32=70, Resulting Numbers: [50, 70]
Generated Node #0,2,2: 56:[50, 70] Operation: 38+32=70
Exploring Operation: 38-32=6, Resulting Numbers: [50, 6]
Generated Node #0,2,3: 56:[50, 6] Operation: 38-32=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[32, 12], Operations: ['74-42=32', '50-38=12']
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,56 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 56:[50, 6], Operations: ['74-42=32', '38-32=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[42, 74, 50, 38], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [50, 38, 32]
Generated Node #0,2: 56:[50, 38, 32] Operation: 74-42=32
Moving to Node #0,2
Current State: 56:[50, 38, 32], Operations: ['74-42=32']
Exploring Operation: 38-32=6, Resulting Numbers: [50, 6]
Generated Node #0,2,3: 56:[50, 6] Operation: 38-32=6
Moving to Node #0,2,3
Current State: 56:[50, 6], Operations: ['74-42=32', '38-32=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
57,
95,
7,
63
] | 82 | [
"57+95=152",
"7+63=70",
"152-70=82"
] | Current State: 82:[57, 95, 7, 63], Operations: []
Exploring Operation: 57+95=152, Resulting Numbers: [7, 63, 152]
Generated Node #2: [7, 63, 152] from Operation: 57+95=152
Current State: 82:[7, 63, 152], Operations: ['57+95=152']
Exploring Operation: 7+63=70, Resulting Numbers: [152, 70]
Generated Node #3: [152, 70] from Operation: 7+63=70
Current State: 82:[152, 70], Operations: ['57+95=152', '7+63=70']
Exploring Operation: 152-70=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[57, 95, 7, 63], Operations: []
Exploring Operation: 95-57=38, Resulting Numbers: [7, 63, 38]
Generated Node #0,0: 82:[7, 63, 38] Operation: 95-57=38
Exploring Operation: 95-63=32, Resulting Numbers: [57, 7, 32]
Generated Node #0,1: 82:[57, 7, 32] Operation: 95-63=32
Exploring Operation: 63-57=6, Resulting Numbers: [95, 7, 6]
Generated Node #0,2: 82:[95, 7, 6] Operation: 63-57=6
Moving to Node #0,2
Current State: 82:[95, 7, 6], Operations: ['63-57=6']
Exploring Operation: 7*6=42, Resulting Numbers: [95, 42]
Generated Node #0,2,0: 82:[95, 42] Operation: 7*6=42
Exploring Operation: 95-7=88, Resulting Numbers: [6, 88]
Generated Node #0,2,1: 82:[6, 88] Operation: 95-7=88
Exploring Operation: 95-6=89, Resulting Numbers: [7, 89]
Generated Node #0,2,2: 82:[7, 89] Operation: 95-6=89
Moving to Node #0,0
Current State: 82:[7, 63, 38], Operations: ['95-57=38']
Exploring Operation: 63/7=9, Resulting Numbers: [38, 9]
Generated Node #0,0,0: 82:[38, 9] Operation: 63/7=9
Exploring Operation: 7+63=70, Resulting Numbers: [38, 70]
Generated Node #0,0,1: 82:[38, 70] Operation: 7+63=70
Exploring Operation: 63-7=56, Resulting Numbers: [38, 56]
Generated Node #0,0,2: 82:[38, 56] Operation: 63-7=56
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[38, 9], Operations: ['95-57=38', '63/7=9']
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,82 unequal: No Solution
Exploring Operation: 38*9=342, Resulting Numbers: [342]
342,82 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,82 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 #0,0,1
Current State: 82:[38, 70], Operations: ['95-57=38', '7+63=70']
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 38*70=2660, Resulting Numbers: [2660]
2660,82 unequal: No Solution
Exploring Operation: 38+70=108, Resulting Numbers: [108]
108,82 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 #0,0,2
Current State: 82:[38, 56], Operations: ['95-57=38', '63-7=56']
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,82 unequal: No Solution
Exploring Operation: 38+56=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 38*56=2128, Resulting Numbers: [2128]
2128,82 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: 82:[57, 7, 32], Operations: ['95-63=32']
Exploring Operation: 57+32=89, Resulting Numbers: [7, 89]
Generated Node #0,1,0: 82:[7, 89] Operation: 57+32=89
Exploring Operation: 7+32=39, Resulting Numbers: [57, 39]
Generated Node #0,1,1: 82:[57, 39] Operation: 7+32=39
Exploring Operation: 57-7=50, Resulting Numbers: [32, 50]
Generated Node #0,1,2: 82:[32, 50] Operation: 57-7=50
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[7, 89], Operations: ['95-63=32', '57+32=89']
Exploring Operation: 89-7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[57, 95, 7, 63], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [57, 7, 32]
Generated Node #0,1: 82:[57, 7, 32] Operation: 95-63=32
Moving to Node #0,1
Current State: 82:[57, 7, 32], Operations: ['95-63=32']
Exploring Operation: 57+32=89, Resulting Numbers: [7, 89]
Generated Node #0,1,0: 82:[7, 89] Operation: 57+32=89
Moving to Node #0,1,0
Current State: 82:[7, 89], Operations: ['95-63=32', '57+32=89']
Exploring Operation: 89-7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
51,
15,
58,
21
] | 56 | [
"51-21=30",
"30/15=2",
"58-2=56"
] | Current State: 56:[51, 15, 58, 21], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [15, 58, 30]
Generated Node #2: [15, 58, 30] from Operation: 51-21=30
Current State: 56:[15, 58, 30], Operations: ['51-21=30']
Exploring Operation: 30/15=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 30/15=2
Current State: 56:[58, 2], Operations: ['51-21=30', '30/15=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[51, 15, 58, 21], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [15, 58, 30]
Generated Node #0,0: 56:[15, 58, 30] Operation: 51-21=30
Moving to Node #0,0
Current State: 56:[15, 58, 30], Operations: ['51-21=30']
Exploring Operation: 58-30=28, Resulting Numbers: [15, 28]
Generated Node #0,0,0: 56:[15, 28] Operation: 58-30=28
Moving to Node #0,0,0
Current State: 56:[15, 28], Operations: ['51-21=30', '58-30=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
57,
72,
6,
24
] | 93 | [
"57+24=81",
"72/6=12",
"81+12=93"
] | Current State: 93:[57, 72, 6, 24], Operations: []
Exploring Operation: 57+24=81, Resulting Numbers: [72, 6, 81]
Generated Node #2: [72, 6, 81] from Operation: 57+24=81
Current State: 93:[72, 6, 81], Operations: ['57+24=81']
Exploring Operation: 72/6=12, Resulting Numbers: [81, 12]
Generated Node #3: [81, 12] from Operation: 72/6=12
Current State: 93:[81, 12], Operations: ['57+24=81', '72/6=12']
Exploring Operation: 81+12=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[57, 72, 6, 24], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [6, 24, 15]
Generated Node #0,0: 93:[6, 24, 15] Operation: 72-57=15
Moving to Node #0,0
Current State: 93:[6, 24, 15], Operations: ['72-57=15']
Exploring Operation: 24-15=9, Resulting Numbers: [6, 9]
Generated Node #0,0,0: 93:[6, 9] Operation: 24-15=9
Moving to Node #0,0,0
Current State: 93:[6, 9], Operations: ['72-57=15', '24-15=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,93 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
98,
14,
56,
20
] | 93 | [
"56/14=4",
"20/4=5",
"98-5=93"
] | Current State: 93:[98, 14, 56, 20], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [98, 20, 4]
Generated Node #2: [98, 20, 4] from Operation: 56/14=4
Current State: 93:[98, 20, 4], Operations: ['56/14=4']
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #3: [98, 5] from Operation: 20/4=5
Current State: 93:[98, 5], Operations: ['56/14=4', '20/4=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[98, 14, 56, 20], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [98, 20, 4]
Generated Node #0,0: 93:[98, 20, 4] Operation: 56/14=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[98, 20, 4], Operations: ['56/14=4']
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #0,0,0: 93:[98, 5] Operation: 20/4=5
Moving to Node #0,0,0
Current State: 93:[98, 5], Operations: ['56/14=4', '20/4=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[98, 14, 56, 20], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [98, 20, 4]
Generated Node #0,0: 93:[98, 20, 4] Operation: 56/14=4
Moving to Node #0,0
Current State: 93:[98, 20, 4], Operations: ['56/14=4']
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #0,0,0: 93:[98, 5] Operation: 20/4=5
Moving to Node #0,0,0
Current State: 93:[98, 5], Operations: ['56/14=4', '20/4=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
15,
27,
35,
13
] | 76 | [
"27*35=945",
"945/15=63",
"13+63=76"
] | Current State: 76:[15, 27, 35, 13], Operations: []
Exploring Operation: 27*35=945, Resulting Numbers: [15, 13, 945]
Generated Node #2: [15, 13, 945] from Operation: 27*35=945
Current State: 76:[15, 13, 945], Operations: ['27*35=945']
Exploring Operation: 945/15=63, Resulting Numbers: [13, 63]
Generated Node #3: [13, 63] from Operation: 945/15=63
Current State: 76:[13, 63], Operations: ['27*35=945', '945/15=63']
Exploring Operation: 13+63=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[15, 27, 35, 13], Operations: []
Exploring Operation: 27+13=40, Resulting Numbers: [15, 35, 40]
Generated Node #0,0: 76:[15, 35, 40] Operation: 27+13=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[15, 35, 40], Operations: ['27+13=40']
Exploring Operation: 35-15=20, Resulting Numbers: [40, 20]
Generated Node #0,0,0: 76:[40, 20] Operation: 35-15=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[40, 20], Operations: ['27+13=40', '35-15=20']
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
55,
96,
96,
49
] | 88 | [
"96-55=41",
"96-49=47",
"41+47=88"
] | Current State: 88:[55, 96, 96, 49], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [49, 41]
Generated Node #2: [49, 41] from Operation: 96-55=41
Current State: 88:[49, 41], Operations: ['96-55=41']
Exploring Operation: 96-49=47, Resulting Numbers: [41, 47]
Generated Node #3: [41, 47] from Operation: 96-49=47
Current State: 88:[41, 47], Operations: ['96-55=41', '96-49=47']
Exploring Operation: 41+47=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[55, 96, 96, 49], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [96, 49, 41]
Generated Node #0,0: 88:[96, 49, 41] Operation: 96-55=41
Exploring Operation: 96-55=41, Resulting Numbers: [96, 49, 41]
Generated Node #0,1: 88:[96, 49, 41] Operation: 96-55=41
Exploring Operation: 96/96=1, Resulting Numbers: [55, 49, 1]
Generated Node #0,2: 88:[55, 49, 1] Operation: 96/96=1
Moving to Node #0,0
Current State: 88:[96, 49, 41], Operations: ['96-55=41']
Exploring Operation: 49+41=90, Resulting Numbers: [96, 90]
Generated Node #0,0,0: 88:[96, 90] Operation: 49+41=90
Exploring Operation: 49-41=8, Resulting Numbers: [96, 8]
Generated Node #0,0,1: 88:[96, 8] Operation: 49-41=8
Exploring Operation: 96-49=47, Resulting Numbers: [41, 47]
Generated Node #0,0,2: 88:[41, 47] Operation: 96-49=47
Moving to Node #0,1
Current State: 88:[96, 49, 41], Operations: ['96-55=41']
Exploring Operation: 49+41=90, Resulting Numbers: [96, 90]
Generated Node #0,1,0: 88:[96, 90] Operation: 49+41=90
Exploring Operation: 49-41=8, Resulting Numbers: [96, 8]
Generated Node #0,1,1: 88:[96, 8] Operation: 49-41=8
Exploring Operation: 96-49=47, Resulting Numbers: [41, 47]
Generated Node #0,1,2: 88:[41, 47] Operation: 96-49=47
Moving to Node #0,2
Current State: 88:[55, 49, 1], Operations: ['96/96=1']
Exploring Operation: 55-1=54, Resulting Numbers: [49, 54]
Generated Node #0,2,0: 88:[49, 54] Operation: 55-1=54
Exploring Operation: 55-49=6, Resulting Numbers: [1, 6]
Generated Node #0,2,1: 88:[1, 6] Operation: 55-49=6
Exploring Operation: 49-1=48, Resulting Numbers: [55, 48]
Generated Node #0,2,2: 88:[55, 48] Operation: 49-1=48
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 88:[1, 6], Operations: ['96/96=1', '55-49=6']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,88 unequal: No Solution
Exploring Operation: 1+6=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[49, 54], Operations: ['96/96=1', '55-1=54']
Exploring Operation: 49+54=103, Resulting Numbers: [103]
103,88 unequal: No Solution
Exploring Operation: 49*54=2646, Resulting Numbers: [2646]
2646,88 unequal: No Solution
Exploring Operation: 54-49=5, Resulting Numbers: [5]
5,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[55, 48], Operations: ['96/96=1', '49-1=48']
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,88 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,88 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: 88:[41, 47], Operations: ['96-55=41', '96-49=47']
Exploring Operation: 41*47=1927, Resulting Numbers: [1927]
1927,88 unequal: No Solution
Exploring Operation: 41+47=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[55, 96, 96, 49], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [96, 49, 41]
Generated Node #0,0: 88:[96, 49, 41] Operation: 96-55=41
Moving to Node #0,0
Current State: 88:[96, 49, 41], Operations: ['96-55=41']
Exploring Operation: 96-49=47, Resulting Numbers: [41, 47]
Generated Node #0,0,2: 88:[41, 47] Operation: 96-49=47
Moving to Node #0,0,2
Current State: 88:[41, 47], Operations: ['96-55=41', '96-49=47']
Exploring Operation: 41+47=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
5,
73,
83,
89
] | 39 | [
"83-73=10",
"5*10=50",
"89-50=39"
] | Current State: 39:[5, 73, 83, 89], Operations: []
Exploring Operation: 83-73=10, Resulting Numbers: [5, 89, 10]
Generated Node #2: [5, 89, 10] from Operation: 83-73=10
Current State: 39:[5, 89, 10], Operations: ['83-73=10']
Exploring Operation: 5*10=50, Resulting Numbers: [89, 50]
Generated Node #3: [89, 50] from Operation: 5*10=50
Current State: 39:[89, 50], Operations: ['83-73=10', '5*10=50']
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[5, 73, 83, 89], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [5, 73, 6]
Generated Node #0,0: 39:[5, 73, 6] Operation: 89-83=6
Exploring Operation: 89-73=16, Resulting Numbers: [5, 83, 16]
Generated Node #0,1: 39:[5, 83, 16] Operation: 89-73=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[5, 73, 6], Operations: ['89-83=6']
Exploring Operation: 73-5=68, Resulting Numbers: [6, 68]
Generated Node #0,0,0: 39:[6, 68] Operation: 73-5=68
Exploring Operation: 73-6=67, Resulting Numbers: [5, 67]
Generated Node #0,0,1: 39:[5, 67] Operation: 73-6=67
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[5, 67], Operations: ['89-83=6', '73-6=67']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,39 unequal: No Solution
No 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: 39:[6, 68], Operations: ['89-83=6', '73-5=68']
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,39 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,39 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: 39:[5, 83, 16], Operations: ['89-73=16']
Exploring Operation: 83-16=67, Resulting Numbers: [5, 67]
Generated Node #0,1,0: 39:[5, 67] Operation: 83-16=67
Exploring Operation: 83-5=78, Resulting Numbers: [16, 78]
Generated Node #0,1,1: 39:[16, 78] Operation: 83-5=78
Moving to Node #0,1,0
Current State: 39:[5, 67], Operations: ['89-73=16', '83-16=67']
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,39 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[16, 78], Operations: ['89-73=16', '83-5=78']
Exploring Operation: 16+78=94, Resulting Numbers: [94]
94,39 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,39 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,
27,
65,
80
] | 64 | [
"53+27=80",
"80/80=1",
"65-1=64"
] | Current State: 64:[53, 27, 65, 80], Operations: []
Exploring Operation: 53+27=80, Resulting Numbers: [65, 80, 80]
Generated Node #2: [65, 80, 80] from Operation: 53+27=80
Current State: 64:[65, 80, 80], Operations: ['53+27=80']
Exploring Operation: 80/80=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 80/80=1
Current State: 64:[65, 1], Operations: ['53+27=80', '80/80=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[53, 27, 65, 80], Operations: []
Exploring Operation: 80-53=27, Resulting Numbers: [27, 65, 27]
Generated Node #0,0: 64:[27, 65, 27] Operation: 80-53=27
Moving to Node #0,0
Current State: 64:[27, 65, 27], Operations: ['80-53=27']
Exploring Operation: 27/27=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 64:[65, 1] Operation: 27/27=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[65, 1], Operations: ['80-53=27', '27/27=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[53, 27, 65, 80], Operations: []
Exploring Operation: 80-53=27, Resulting Numbers: [27, 65, 27]
Generated Node #0,0: 64:[27, 65, 27] Operation: 80-53=27
Moving to Node #0,0
Current State: 64:[27, 65, 27], Operations: ['80-53=27']
Exploring Operation: 27/27=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 64:[65, 1] Operation: 27/27=1
Moving to Node #0,0,0
Current State: 64:[65, 1], Operations: ['80-53=27', '27/27=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
24,
12,
57,
32
] | 11 | [
"24+12=36",
"57-32=25",
"36-25=11"
] | Current State: 11:[24, 12, 57, 32], Operations: []
Exploring Operation: 24+12=36, Resulting Numbers: [57, 32, 36]
Generated Node #2: [57, 32, 36] from Operation: 24+12=36
Current State: 11:[57, 32, 36], Operations: ['24+12=36']
Exploring Operation: 57-32=25, Resulting Numbers: [36, 25]
Generated Node #3: [36, 25] from Operation: 57-32=25
Current State: 11:[36, 25], Operations: ['24+12=36', '57-32=25']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[24, 12, 57, 32], Operations: []
Exploring Operation: 24-12=12, Resulting Numbers: [57, 32, 12]
Generated Node #0,0: 11:[57, 32, 12] Operation: 24-12=12
Exploring Operation: 57-24=33, Resulting Numbers: [12, 32, 33]
Generated Node #0,1: 11:[12, 32, 33] Operation: 57-24=33
Exploring Operation: 32-24=8, Resulting Numbers: [12, 57, 8]
Generated Node #0,2: 11:[12, 57, 8] Operation: 32-24=8
Exploring Operation: 57-32=25, Resulting Numbers: [24, 12, 25]
Generated Node #0,3: 11:[24, 12, 25] Operation: 57-32=25
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[24, 12, 25], Operations: ['57-32=25']
Exploring Operation: 24-12=12, Resulting Numbers: [25, 12]
Generated Node #0,3,0: 11:[25, 12] Operation: 24-12=12
Exploring Operation: 25-12=13, Resulting Numbers: [24, 13]
Generated Node #0,3,1: 11:[24, 13] Operation: 25-12=13
Exploring Operation: 24/12=2, Resulting Numbers: [25, 2]
Generated Node #0,3,2: 11:[25, 2] Operation: 24/12=2
Exploring Operation: 25-24=1, Resulting Numbers: [12, 1]
Generated Node #0,3,3: 11:[12, 1] Operation: 25-24=1
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 11:[12, 1], Operations: ['57-32=25', '25-24=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[24, 12, 57, 32], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [24, 12, 25]
Generated Node #0,3: 11:[24, 12, 25] Operation: 57-32=25
Moving to Node #0,3
Current State: 11:[24, 12, 25], Operations: ['57-32=25']
Exploring Operation: 25-24=1, Resulting Numbers: [12, 1]
Generated Node #0,3,3: 11:[12, 1] Operation: 25-24=1
Moving to Node #0,3,3
Current State: 11:[12, 1], Operations: ['57-32=25', '25-24=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
96,
77,
59,
17
] | 96 | [
"77-59=18",
"18-17=1",
"96*1=96"
] | Current State: 96:[96, 77, 59, 17], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [96, 17, 18]
Generated Node #2: [96, 17, 18] from Operation: 77-59=18
Current State: 96:[96, 17, 18], Operations: ['77-59=18']
Exploring Operation: 18-17=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 18-17=1
Current State: 96:[96, 1], Operations: ['77-59=18', '18-17=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[96, 77, 59, 17], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [96, 17, 18]
Generated Node #0,0: 96:[96, 17, 18] Operation: 77-59=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[96, 17, 18], Operations: ['77-59=18']
Exploring Operation: 18-17=1, Resulting Numbers: [96, 1]
Generated Node #0,0,0: 96:[96, 1] Operation: 18-17=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[96, 1], Operations: ['77-59=18', '18-17=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[96, 77, 59, 17], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [96, 17, 18]
Generated Node #0,0: 96:[96, 17, 18] Operation: 77-59=18
Moving to Node #0,0
Current State: 96:[96, 17, 18], Operations: ['77-59=18']
Exploring Operation: 18-17=1, Resulting Numbers: [96, 1]
Generated Node #0,0,0: 96:[96, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 96:[96, 1], Operations: ['77-59=18', '18-17=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.