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 |
|---|---|---|---|---|---|---|---|---|
[
43,
16,
2,
5
] | 70 | [
"43-5=38",
"16*2=32",
"38+32=70"
] | Current State: 70:[43, 16, 2, 5], Operations: []
Exploring Operation: 43-5=38, Resulting Numbers: [16, 2, 38]
Generated Node #2: [16, 2, 38] from Operation: 43-5=38
Current State: 70:[16, 2, 38], Operations: ['43-5=38']
Exploring Operation: 16*2=32, Resulting Numbers: [38, 32]
Generated Node #3: [38, 32] from Operation: 16*2=32
Current State: 70:[38, 32], Operations: ['43-5=38', '16*2=32']
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[43, 16, 2, 5], Operations: []
Exploring Operation: 43-5=38, Resulting Numbers: [16, 2, 38]
Generated Node #0,0: 70:[16, 2, 38] Operation: 43-5=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[16, 2, 38], Operations: ['43-5=38']
Exploring Operation: 16-2=14, Resulting Numbers: [38, 14]
Generated Node #0,0,0: 70:[38, 14] Operation: 16-2=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[38, 14], Operations: ['43-5=38', '16-2=14']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,70 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 |
[
37,
22,
59,
68
] | 50 | [
"37+22=59",
"68-59=9",
"59-9=50"
] | Current State: 50:[37, 22, 59, 68], Operations: []
Exploring Operation: 37+22=59, Resulting Numbers: [59, 68, 59]
Generated Node #2: [59, 68, 59] from Operation: 37+22=59
Current State: 50:[59, 68, 59], Operations: ['37+22=59']
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,50 equal: Goal Reached
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[37, 22, 59, 68], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [37, 22, 9]
Generated Node #0,0: 50:[37, 22, 9] Operation: 68-59=9
Moving to Node #0,0
Current State: 50:[37, 22, 9], Operations: ['68-59=9']
Exploring Operation: 37-22=15, Resulting Numbers: [9, 15]
Generated Node #0,0,0: 50:[9, 15] Operation: 37-22=15
Moving to Node #0,0,0
Current State: 50:[9, 15], Operations: ['68-59=9', '37-22=15']
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,50 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
55,
52,
17
] | 94 | [
"30*55=1650",
"1650-52=1598",
"1598/17=94"
] | Current State: 94:[30, 55, 52, 17], Operations: []
Exploring Operation: 30*55=1650, Resulting Numbers: [52, 17, 1650]
Generated Node #2: [52, 17, 1650] from Operation: 30*55=1650
Current State: 94:[52, 17, 1650], Operations: ['30*55=1650']
Exploring Operation: 1650-52=1598, Resulting Numbers: [17, 1598]
Generated Node #3: [17, 1598] from Operation: 1650-52=1598
Current State: 94:[17, 1598], Operations: ['30*55=1650', '1650-52=1598']
Exploring Operation: 1598/17=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[30, 55, 52, 17], Operations: []
Exploring Operation: 30+17=47, Resulting Numbers: [55, 52, 47]
Generated Node #0,0: 94:[55, 52, 47] Operation: 30+17=47
Exploring Operation: 30+55=85, Resulting Numbers: [52, 17, 85]
Generated Node #0,1: 94:[52, 17, 85] Operation: 30+55=85
Exploring Operation: 30-17=13, Resulting Numbers: [55, 52, 13]
Generated Node #0,2: 94:[55, 52, 13] Operation: 30-17=13
Moving to Node #0,0
Current State: 94:[55, 52, 47], Operations: ['30+17=47']
Exploring Operation: 55-47=8, Resulting Numbers: [52, 8]
Generated Node #0,0,0: 94:[52, 8] Operation: 55-47=8
Exploring Operation: 52-47=5, Resulting Numbers: [55, 5]
Generated Node #0,0,1: 94:[55, 5] Operation: 52-47=5
Exploring Operation: 55-52=3, Resulting Numbers: [47, 3]
Generated Node #0,0,2: 94:[47, 3] Operation: 55-52=3
Moving to Node #0,2
Current State: 94:[55, 52, 13], Operations: ['30-17=13']
Exploring Operation: 55-13=42, Resulting Numbers: [52, 42]
Generated Node #0,2,0: 94:[52, 42] Operation: 55-13=42
Exploring Operation: 55-52=3, Resulting Numbers: [13, 3]
Generated Node #0,2,1: 94:[13, 3] Operation: 55-52=3
Exploring Operation: 52/13=4, Resulting Numbers: [55, 4]
Generated Node #0,2,2: 94:[55, 4] Operation: 52/13=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[52, 42], Operations: ['30-17=13', '55-13=42']
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,94 unequal: No Solution
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[30, 55, 52, 17], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [55, 52, 13]
Generated Node #0,2: 94:[55, 52, 13] Operation: 30-17=13
Moving to Node #0,2
Current State: 94:[55, 52, 13], Operations: ['30-17=13']
Exploring Operation: 55-13=42, Resulting Numbers: [52, 42]
Generated Node #0,2,0: 94:[52, 42] Operation: 55-13=42
Moving to Node #0,2,0
Current State: 94:[52, 42], Operations: ['30-17=13', '55-13=42']
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
92,
25,
23,
89
] | 86 | [
"25-23=2",
"89*2=178",
"178-92=86"
] | Current State: 86:[92, 25, 23, 89], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [92, 89, 2]
Generated Node #2: [92, 89, 2] from Operation: 25-23=2
Current State: 86:[92, 89, 2], Operations: ['25-23=2']
Exploring Operation: 89*2=178, Resulting Numbers: [92, 178]
Generated Node #3: [92, 178] from Operation: 89*2=178
Current State: 86:[92, 178], Operations: ['25-23=2', '89*2=178']
Exploring Operation: 178-92=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[92, 25, 23, 89], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [92, 89, 2]
Generated Node #0,0: 86:[92, 89, 2] Operation: 25-23=2
Exploring Operation: 92/23=4, Resulting Numbers: [25, 89, 4]
Generated Node #0,1: 86:[25, 89, 4] Operation: 92/23=4
Exploring Operation: 92-23=69, Resulting Numbers: [25, 89, 69]
Generated Node #0,2: 86:[25, 89, 69] Operation: 92-23=69
Exploring Operation: 25+23=48, Resulting Numbers: [92, 89, 48]
Generated Node #0,3: 86:[92, 89, 48] Operation: 25+23=48
Moving to Node #0,0
Current State: 86:[92, 89, 2], Operations: ['25-23=2']
Exploring Operation: 89-2=87, Resulting Numbers: [92, 87]
Generated Node #0,0,0: 86:[92, 87] Operation: 89-2=87
Exploring Operation: 92/2=46, Resulting Numbers: [89, 46]
Generated Node #0,0,1: 86:[89, 46] Operation: 92/2=46
Exploring Operation: 92-2=90, Resulting Numbers: [89, 90]
Generated Node #0,0,2: 86:[89, 90] Operation: 92-2=90
Exploring Operation: 92-89=3, Resulting Numbers: [2, 3]
Generated Node #0,0,3: 86:[2, 3] Operation: 92-89=3
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 86:[2, 3], Operations: ['25-23=2', '92-89=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[89, 46], Operations: ['25-23=2', '92/2=46']
Exploring Operation: 89-46=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 89+46=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 89*46=4094, Resulting Numbers: [4094]
4094,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[92, 87], Operations: ['25-23=2', '89-2=87']
Exploring Operation: 92*87=8004, Resulting Numbers: [8004]
8004,86 unequal: No Solution
Exploring Operation: 92-87=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 92+87=179, Resulting Numbers: [179]
179,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[89, 90], Operations: ['25-23=2', '92-2=90']
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 89+90=179, Resulting Numbers: [179]
179,86 unequal: No Solution
Exploring Operation: 89*90=8010, Resulting Numbers: [8010]
8010,86 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: 86:[92, 89, 48], Operations: ['25+23=48']
Exploring Operation: 89-48=41, Resulting Numbers: [92, 41]
Generated Node #0,3,0: 86:[92, 41] Operation: 89-48=41
Exploring Operation: 92-48=44, Resulting Numbers: [89, 44]
Generated Node #0,3,1: 86:[89, 44] Operation: 92-48=44
Exploring Operation: 92-89=3, Resulting Numbers: [48, 3]
Generated Node #0,3,2: 86:[48, 3] Operation: 92-89=3
Exploring Operation: 92+48=140, Resulting Numbers: [89, 140]
Generated Node #0,3,3: 86:[89, 140] Operation: 92+48=140
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 86:[89, 44], Operations: ['25+23=48', '92-48=44']
Exploring Operation: 89+44=133, Resulting Numbers: [133]
133,86 unequal: No Solution
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 89*44=3916, Resulting Numbers: [3916]
3916,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 86:[48, 3], Operations: ['25+23=48', '92-89=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,86 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 86:[92, 41], Operations: ['25+23=48', '89-48=41']
Exploring Operation: 92+41=133, Resulting Numbers: [133]
133,86 unequal: No Solution
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 92*41=3772, Resulting Numbers: [3772]
3772,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 86:[89, 140], Operations: ['25+23=48', '92+48=140']
Exploring Operation: 89+140=229, Resulting Numbers: [229]
229,86 unequal: No Solution
Exploring Operation: 140-89=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 89*140=12460, Resulting Numbers: [12460]
12460,86 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: 86:[25, 89, 4], Operations: ['92/23=4']
Exploring Operation: 89-4=85, Resulting Numbers: [25, 85]
Generated Node #0,1,0: 86:[25, 85] Operation: 89-4=85
Exploring Operation: 25-4=21, Resulting Numbers: [89, 21]
Generated Node #0,1,1: 86:[89, 21] Operation: 25-4=21
Exploring Operation: 25+4=29, Resulting Numbers: [89, 29]
Generated Node #0,1,2: 86:[89, 29] Operation: 25+4=29
Exploring Operation: 25*4=100, Resulting Numbers: [89, 100]
Generated Node #0,1,3: 86:[89, 100] Operation: 25*4=100
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[89, 29], Operations: ['92/23=4', '25+4=29']
Exploring Operation: 89+29=118, Resulting Numbers: [118]
118,86 unequal: No Solution
Exploring Operation: 89-29=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 89*29=2581, Resulting Numbers: [2581]
2581,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 86:[89, 100], Operations: ['92/23=4', '25*4=100']
Exploring Operation: 100-89=11, Resulting Numbers: [11]
11,86 unequal: No Solution
Exploring Operation: 89+100=189, Resulting Numbers: [189]
189,86 unequal: No Solution
Exploring Operation: 89*100=8900, Resulting Numbers: [8900]
8900,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[25, 85], Operations: ['92/23=4', '89-4=85']
Exploring Operation: 25+85=110, Resulting Numbers: [110]
110,86 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 25*85=2125, Resulting Numbers: [2125]
2125,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[89, 21], Operations: ['92/23=4', '25-4=21']
Exploring Operation: 89+21=110, Resulting Numbers: [110]
110,86 unequal: No Solution
Exploring Operation: 89*21=1869, Resulting Numbers: [1869]
1869,86 unequal: No Solution
Exploring Operation: 89-21=68, Resulting Numbers: [68]
68,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 86:[25, 89, 69], Operations: ['92-23=69']
Exploring Operation: 89-25=64, Resulting Numbers: [69, 64]
Generated Node #0,2,0: 86:[69, 64] Operation: 89-25=64
Exploring Operation: 69-25=44, Resulting Numbers: [89, 44]
Generated Node #0,2,1: 86:[89, 44] Operation: 69-25=44
Exploring Operation: 25+69=94, Resulting Numbers: [89, 94]
Generated Node #0,2,2: 86:[89, 94] Operation: 25+69=94
Exploring Operation: 89-69=20, Resulting Numbers: [25, 20]
Generated Node #0,2,3: 86:[25, 20] Operation: 89-69=20
Moving to Node #0,2,1
Current State: 86:[89, 44], Operations: ['92-23=69', '69-25=44']
Exploring Operation: 89+44=133, Resulting Numbers: [133]
133,86 unequal: No Solution
Exploring Operation: 89*44=3916, Resulting Numbers: [3916]
3916,86 unequal: No Solution
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[89, 94], Operations: ['92-23=69', '25+69=94']
Exploring Operation: 89+94=183, Resulting Numbers: [183]
183,86 unequal: No Solution
Exploring Operation: 94-89=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 89*94=8366, Resulting Numbers: [8366]
8366,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[25, 20], Operations: ['92-23=69', '89-69=20']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[69, 64], Operations: ['92-23=69', '89-25=64']
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 69+64=133, Resulting Numbers: [133]
133,86 unequal: No Solution
Exploring Operation: 69*64=4416, Resulting Numbers: [4416]
4416,86 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
46,
28,
57,
2
] | 89 | [
"46+57=103",
"28/2=14",
"103-14=89"
] | Current State: 89:[46, 28, 57, 2], Operations: []
Exploring Operation: 46+57=103, Resulting Numbers: [28, 2, 103]
Generated Node #2: [28, 2, 103] from Operation: 46+57=103
Current State: 89:[28, 2, 103], Operations: ['46+57=103']
Exploring Operation: 28/2=14, Resulting Numbers: [103, 14]
Generated Node #3: [103, 14] from Operation: 28/2=14
Current State: 89:[103, 14], Operations: ['46+57=103', '28/2=14']
Exploring Operation: 103-14=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[46, 28, 57, 2], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [28, 57, 92]
Generated Node #0,0: 89:[28, 57, 92] Operation: 46*2=92
Exploring Operation: 28*2=56, Resulting Numbers: [46, 57, 56]
Generated Node #0,1: 89:[46, 57, 56] Operation: 28*2=56
Moving to Node #0,0
Current State: 89:[28, 57, 92], Operations: ['46*2=92']
Exploring Operation: 28+57=85, Resulting Numbers: [92, 85]
Generated Node #0,0,0: 89:[92, 85] Operation: 28+57=85
Exploring Operation: 92-28=64, Resulting Numbers: [57, 64]
Generated Node #0,0,1: 89:[57, 64] Operation: 92-28=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[92, 85], Operations: ['46*2=92', '28+57=85']
Exploring Operation: 92+85=177, Resulting Numbers: [177]
177,89 unequal: No Solution
Exploring Operation: 92-85=7, Resulting Numbers: [7]
7,89 unequal: No Solution
No 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: 89:[57, 64], Operations: ['46*2=92', '92-28=64']
Exploring Operation: 57+64=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 64-57=7, Resulting Numbers: [7]
7,89 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: 89:[46, 57, 56], Operations: ['28*2=56']
Exploring Operation: 46+56=102, Resulting Numbers: [57, 102]
Generated Node #0,1,0: 89:[57, 102] Operation: 46+56=102
Exploring Operation: 46+57=103, Resulting Numbers: [56, 103]
Generated Node #0,1,1: 89:[56, 103] Operation: 46+57=103
Moving to Node #0,1,0
Current State: 89:[57, 102], Operations: ['28*2=56', '46+56=102']
Exploring Operation: 57+102=159, Resulting Numbers: [159]
159,89 unequal: No Solution
Exploring Operation: 102-57=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[56, 103], Operations: ['28*2=56', '46+57=103']
Exploring Operation: 56+103=159, Resulting Numbers: [159]
159,89 unequal: No Solution
Exploring Operation: 103-56=47, Resulting Numbers: [47]
47,89 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
26,
48,
78,
78
] | 48 | [
"78-78=0",
"26*0=0",
"48+0=48"
] | Current State: 48:[26, 48, 78, 78], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [26, 48, 0]
Generated Node #2: [26, 48, 0] from Operation: 78-78=0
Current State: 48:[26, 48, 0], Operations: ['78-78=0']
Exploring Operation: 26*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 26*0=0
Current State: 48:[48, 0], Operations: ['78-78=0', '26*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[26, 48, 78, 78], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [26, 48, 0]
Generated Node #0,0: 48:[26, 48, 0] Operation: 78-78=0
Exploring Operation: 78/78=1, Resulting Numbers: [26, 48, 1]
Generated Node #0,1: 48:[26, 48, 1] Operation: 78/78=1
Moving to Node #0,1
Current State: 48:[26, 48, 1], Operations: ['78/78=1']
Exploring Operation: 26*1=26, Resulting Numbers: [48, 26]
Generated Node #0,1,0: 48:[48, 26] Operation: 26*1=26
Exploring Operation: 26-1=25, Resulting Numbers: [48, 25]
Generated Node #0,1,1: 48:[48, 25] Operation: 26-1=25
Moving to Node #0,0
Current State: 48:[26, 48, 0], Operations: ['78-78=0']
Exploring Operation: 26*0=0, Resulting Numbers: [48, 0]
Generated Node #0,0,0: 48:[48, 0] Operation: 26*0=0
Exploring Operation: 26+0=26, Resulting Numbers: [48, 26]
Generated Node #0,0,1: 48:[48, 26] Operation: 26+0=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[48, 0], Operations: ['78-78=0', '26*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[26, 48, 78, 78], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [26, 48, 0]
Generated Node #0,0: 48:[26, 48, 0] Operation: 78-78=0
Moving to Node #0,0
Current State: 48:[26, 48, 0], Operations: ['78-78=0']
Exploring Operation: 26*0=0, Resulting Numbers: [48, 0]
Generated Node #0,0,0: 48:[48, 0] Operation: 26*0=0
Moving to Node #0,0,0
Current State: 48:[48, 0], Operations: ['78-78=0', '26*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
99,
31,
60,
91
] | 42 | [
"99+31=130",
"60*91=5460",
"5460/130=42"
] | Current State: 42:[99, 31, 60, 91], Operations: []
Exploring Operation: 99+31=130, Resulting Numbers: [60, 91, 130]
Generated Node #2: [60, 91, 130] from Operation: 99+31=130
Current State: 42:[60, 91, 130], Operations: ['99+31=130']
Exploring Operation: 60*91=5460, Resulting Numbers: [130, 5460]
Generated Node #3: [130, 5460] from Operation: 60*91=5460
Current State: 42:[130, 5460], Operations: ['99+31=130', '60*91=5460']
Exploring Operation: 5460/130=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[99, 31, 60, 91], Operations: []
Exploring Operation: 99-60=39, Resulting Numbers: [31, 91, 39]
Generated Node #0,0: 42:[31, 91, 39] Operation: 99-60=39
Exploring Operation: 91-60=31, Resulting Numbers: [99, 31, 31]
Generated Node #0,1: 42:[99, 31, 31] Operation: 91-60=31
Exploring Operation: 99-31=68, Resulting Numbers: [60, 91, 68]
Generated Node #0,2: 42:[60, 91, 68] Operation: 99-31=68
Exploring Operation: 99-91=8, Resulting Numbers: [31, 60, 8]
Generated Node #0,3: 42:[31, 60, 8] Operation: 99-91=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[31, 60, 8], Operations: ['99-91=8']
Exploring Operation: 31+8=39, Resulting Numbers: [60, 39]
Generated Node #0,3,0: 42:[60, 39] Operation: 31+8=39
Exploring Operation: 60-31=29, Resulting Numbers: [8, 29]
Generated Node #0,3,1: 42:[8, 29] Operation: 60-31=29
Exploring Operation: 60-8=52, Resulting Numbers: [31, 52]
Generated Node #0,3,2: 42:[31, 52] Operation: 60-8=52
Exploring Operation: 31-8=23, Resulting Numbers: [60, 23]
Generated Node #0,3,3: 42:[60, 23] Operation: 31-8=23
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 42:[8, 29], Operations: ['99-91=8', '60-31=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 42:[31, 52], Operations: ['99-91=8', '60-8=52']
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,42 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,42 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 42:[60, 23], Operations: ['99-91=8', '31-8=23']
Exploring Operation: 60+23=83, Resulting Numbers: [83]
83,42 unequal: No Solution
Exploring Operation: 60*23=1380, Resulting Numbers: [1380]
1380,42 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 42:[60, 39], Operations: ['99-91=8', '31+8=39']
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 60*39=2340, Resulting Numbers: [2340]
2340,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[31, 91, 39], Operations: ['99-60=39']
Exploring Operation: 91-31=60, Resulting Numbers: [39, 60]
Generated Node #0,0,0: 42:[39, 60] Operation: 91-31=60
Exploring Operation: 39-31=8, Resulting Numbers: [91, 8]
Generated Node #0,0,1: 42:[91, 8] Operation: 39-31=8
Exploring Operation: 31+39=70, Resulting Numbers: [91, 70]
Generated Node #0,0,2: 42:[91, 70] Operation: 31+39=70
Exploring Operation: 91-39=52, Resulting Numbers: [31, 52]
Generated Node #0,0,3: 42:[31, 52] Operation: 91-39=52
Moving to Node #0,0,3
Current State: 42:[31, 52], Operations: ['99-60=39', '91-39=52']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,42 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[39, 60], Operations: ['99-60=39', '91-31=60']
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Exploring Operation: 39*60=2340, Resulting Numbers: [2340]
2340,42 unequal: No Solution
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[91, 8], Operations: ['99-60=39', '39-31=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,42 unequal: No Solution
Exploring Operation: 91*8=728, Resulting Numbers: [728]
728,42 unequal: No Solution
Exploring Operation: 91+8=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[91, 70], Operations: ['99-60=39', '31+39=70']
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 91+70=161, Resulting Numbers: [161]
161,42 unequal: No Solution
Exploring Operation: 91*70=6370, Resulting Numbers: [6370]
6370,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[99, 31, 31], Operations: ['91-60=31']
Exploring Operation: 99-31=68, Resulting Numbers: [31, 68]
Generated Node #0,1,0: 42:[31, 68] Operation: 99-31=68
Exploring Operation: 31-31=0, Resulting Numbers: [99, 0]
Generated Node #0,1,1: 42:[99, 0] Operation: 31-31=0
Exploring Operation: 99-31=68, Resulting Numbers: [31, 68]
Generated Node #0,1,2: 42:[31, 68] Operation: 99-31=68
Exploring Operation: 31/31=1, Resulting Numbers: [99, 1]
Generated Node #0,1,3: 42:[99, 1] Operation: 31/31=1
Moving to Node #0,1,0
Current State: 42:[31, 68], Operations: ['91-60=31', '99-31=68']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Exploring Operation: 31*68=2108, Resulting Numbers: [2108]
2108,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[31, 68], Operations: ['91-60=31', '99-31=68']
Exploring Operation: 31*68=2108, Resulting Numbers: [2108]
2108,42 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[99, 1], Operations: ['91-60=31', '31/31=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,42 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[99, 0], Operations: ['91-60=31', '31-31=0']
Exploring Operation: 99*0=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Exploring Operation: 99-0=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Exploring Operation: 99+0=99, Resulting Numbers: [99]
99,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[60, 91, 68], Operations: ['99-31=68']
Exploring Operation: 60+91=151, Resulting Numbers: [68, 151]
Generated Node #0,2,0: 42:[68, 151] Operation: 60+91=151
Exploring Operation: 91-60=31, Resulting Numbers: [68, 31]
Generated Node #0,2,1: 42:[68, 31] Operation: 91-60=31
Exploring Operation: 91-68=23, Resulting Numbers: [60, 23]
Generated Node #0,2,2: 42:[60, 23] Operation: 91-68=23
Exploring Operation: 68-60=8, Resulting Numbers: [91, 8]
Generated Node #0,2,3: 42:[91, 8] Operation: 68-60=8
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 42:[60, 23], Operations: ['99-31=68', '91-68=23']
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 60+23=83, Resulting Numbers: [83]
83,42 unequal: No Solution
Exploring Operation: 60*23=1380, Resulting Numbers: [1380]
1380,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 42:[68, 31], Operations: ['99-31=68', '91-60=31']
Exploring Operation: 68*31=2108, Resulting Numbers: [2108]
2108,42 unequal: No Solution
Exploring Operation: 68+31=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 42:[91, 8], Operations: ['99-31=68', '68-60=8']
Exploring Operation: 91+8=99, Resulting Numbers: [99]
99,42 unequal: No Solution
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,42 unequal: No Solution
Exploring Operation: 91*8=728, Resulting Numbers: [728]
728,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 42:[68, 151], Operations: ['99-31=68', '60+91=151']
Exploring Operation: 68*151=10268, Resulting Numbers: [10268]
10268,42 unequal: No Solution
Exploring Operation: 68+151=219, Resulting Numbers: [219]
219,42 unequal: No Solution
Exploring Operation: 151-68=83, Resulting Numbers: [83]
83,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
51,
9,
48
] | 14 | [
"2+51=53",
"48-9=39",
"53-39=14"
] | Current State: 14:[2, 51, 9, 48], Operations: []
Exploring Operation: 2+51=53, Resulting Numbers: [9, 48, 53]
Generated Node #2: [9, 48, 53] from Operation: 2+51=53
Current State: 14:[9, 48, 53], Operations: ['2+51=53']
Exploring Operation: 48-9=39, Resulting Numbers: [53, 39]
Generated Node #3: [53, 39] from Operation: 48-9=39
Current State: 14:[53, 39], Operations: ['2+51=53', '48-9=39']
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[2, 51, 9, 48], Operations: []
Exploring Operation: 51-2=49, Resulting Numbers: [9, 48, 49]
Generated Node #0,0: 14:[9, 48, 49] Operation: 51-2=49
Exploring Operation: 51-48=3, Resulting Numbers: [2, 9, 3]
Generated Node #0,1: 14:[2, 9, 3] Operation: 51-48=3
Exploring Operation: 48/2=24, Resulting Numbers: [51, 9, 24]
Generated Node #0,2: 14:[51, 9, 24] Operation: 48/2=24
Exploring Operation: 48-9=39, Resulting Numbers: [2, 51, 39]
Generated Node #0,3: 14:[2, 51, 39] Operation: 48-9=39
Exploring Operation: 51-9=42, Resulting Numbers: [2, 48, 42]
Generated Node #0,4: 14:[2, 48, 42] Operation: 51-9=42
Moving to Node #0,1
Current State: 14:[2, 9, 3], Operations: ['51-48=3']
Exploring Operation: 9+3=12, Resulting Numbers: [2, 12]
Generated Node #0,1,0: 14:[2, 12] Operation: 9+3=12
Exploring Operation: 9-2=7, Resulting Numbers: [3, 7]
Generated Node #0,1,1: 14:[3, 7] Operation: 9-2=7
Exploring Operation: 2*3=6, Resulting Numbers: [9, 6]
Generated Node #0,1,2: 14:[9, 6] Operation: 2*3=6
Exploring Operation: 9/3=3, Resulting Numbers: [2, 3]
Generated Node #0,1,3: 14:[2, 3] Operation: 9/3=3
Exploring Operation: 9-3=6, Resulting Numbers: [2, 6]
Generated Node #0,1,4: 14:[2, 6] Operation: 9-3=6
Moving to Node #0,2
Current State: 14:[51, 9, 24], Operations: ['48/2=24']
Exploring Operation: 9+24=33, Resulting Numbers: [51, 33]
Generated Node #0,2,0: 14:[51, 33] Operation: 9+24=33
Exploring Operation: 24-9=15, Resulting Numbers: [51, 15]
Generated Node #0,2,1: 14:[51, 15] Operation: 24-9=15
Exploring Operation: 51-24=27, Resulting Numbers: [9, 27]
Generated Node #0,2,2: 14:[9, 27] Operation: 51-24=27
Exploring Operation: 51-9=42, Resulting Numbers: [24, 42]
Generated Node #0,2,3: 14:[24, 42] Operation: 51-9=42
Exploring Operation: 51+9=60, Resulting Numbers: [24, 60]
Generated Node #0,2,4: 14:[24, 60] Operation: 51+9=60
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[9, 27], Operations: ['48/2=24', '51-24=27']
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,14 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 27-9=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 #0,2,1
Current State: 14:[51, 15], Operations: ['48/2=24', '24-9=15']
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,14 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,14 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 #0,2,3
Current State: 14:[24, 42], Operations: ['48/2=24', '51-9=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,14 unequal: No Solution
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,14 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 #0,2,0
Current State: 14:[51, 33], Operations: ['48/2=24', '9+24=33']
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Exploring Operation: 51*33=1683, Resulting Numbers: [1683]
1683,14 unequal: No Solution
Exploring Operation: 51-33=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 #0,2,4
Current State: 14:[24, 60], Operations: ['48/2=24', '51+9=60']
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,14 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,14 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: 14:[2, 51, 39], Operations: ['48-9=39']
Exploring Operation: 2+51=53, Resulting Numbers: [39, 53]
Generated Node #0,3,0: 14:[39, 53] Operation: 2+51=53
Exploring Operation: 2+39=41, Resulting Numbers: [51, 41]
Generated Node #0,3,1: 14:[51, 41] Operation: 2+39=41
Exploring Operation: 51-2=49, Resulting Numbers: [39, 49]
Generated Node #0,3,2: 14:[39, 49] Operation: 51-2=49
Exploring Operation: 39-2=37, Resulting Numbers: [51, 37]
Generated Node #0,3,3: 14:[51, 37] Operation: 39-2=37
Exploring Operation: 51-39=12, Resulting Numbers: [2, 12]
Generated Node #0,3,4: 14:[2, 12] Operation: 51-39=12
Moving to Node #0,4
Current State: 14:[2, 48, 42], Operations: ['51-9=42']
Exploring Operation: 48-42=6, Resulting Numbers: [2, 6]
Generated Node #0,4,0: 14:[2, 6] Operation: 48-42=6
Exploring Operation: 42/2=21, Resulting Numbers: [48, 21]
Generated Node #0,4,1: 14:[48, 21] Operation: 42/2=21
Exploring Operation: 48-2=46, Resulting Numbers: [42, 46]
Generated Node #0,4,2: 14:[42, 46] Operation: 48-2=46
Exploring Operation: 48/2=24, Resulting Numbers: [42, 24]
Generated Node #0,4,3: 14:[42, 24] Operation: 48/2=24
Exploring Operation: 42-2=40, Resulting Numbers: [48, 40]
Generated Node #0,4,4: 14:[48, 40] Operation: 42-2=40
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 14:[2, 6], Operations: ['51-9=42', '48-42=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 6/2=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 #0,4,3
Current State: 14:[42, 24], Operations: ['51-9=42', '48/2=24']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 42*24=1008, Resulting Numbers: [1008]
1008,14 unequal: No Solution
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,14 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 #0,4,1
Current State: 14:[48, 21], Operations: ['51-9=42', '42/2=21']
Exploring Operation: 48*21=1008, Resulting Numbers: [1008]
1008,14 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,14 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 #0,4,2
Current State: 14:[42, 46], Operations: ['51-9=42', '48-2=46']
Exploring Operation: 42*46=1932, Resulting Numbers: [1932]
1932,14 unequal: No Solution
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,14 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,14 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 #0,4,4
Current State: 14:[48, 40], Operations: ['51-9=42', '42-2=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,14 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,14 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:[9, 48, 49], Operations: ['51-2=49']
Exploring Operation: 48-9=39, Resulting Numbers: [49, 39]
Generated Node #0,0,0: 14:[49, 39] Operation: 48-9=39
Exploring Operation: 49-9=40, Resulting Numbers: [48, 40]
Generated Node #0,0,1: 14:[48, 40] Operation: 49-9=40
Exploring Operation: 49-48=1, Resulting Numbers: [9, 1]
Generated Node #0,0,2: 14:[9, 1] Operation: 49-48=1
Exploring Operation: 9+48=57, Resulting Numbers: [49, 57]
Generated Node #0,0,3: 14:[49, 57] Operation: 9+48=57
Exploring Operation: 9+49=58, Resulting Numbers: [48, 58]
Generated Node #0,0,4: 14:[48, 58] Operation: 9+49=58
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[9, 1], Operations: ['51-2=49', '49-48=1']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,14 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,14 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,14 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:[49, 39], Operations: ['51-2=49', '48-9=39']
Exploring Operation: 49+39=88, Resulting Numbers: [88]
88,14 unequal: No Solution
Exploring Operation: 49*39=1911, Resulting Numbers: [1911]
1911,14 unequal: No Solution
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,14 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:[48, 40], Operations: ['51-2=49', '49-9=40']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,14 unequal: No Solution
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,14 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 #0,0,3
Current State: 14:[49, 57], Operations: ['51-2=49', '9+48=57']
Exploring Operation: 49*57=2793, Resulting Numbers: [2793]
2793,14 unequal: No Solution
Exploring Operation: 57-49=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 49+57=106, Resulting Numbers: [106]
106,14 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:[48, 58], Operations: ['51-2=49', '9+49=58']
Exploring Operation: 48+58=106, Resulting Numbers: [106]
106,14 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 48*58=2784, Resulting Numbers: [2784]
2784,14 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: 14:[3, 7], Operations: ['51-48=3', '9-2=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,14 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Moving to Node #0,1,4
Current State: 14:[2, 6], Operations: ['51-48=3', '9-3=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[2, 3], Operations: ['51-48=3', '9/3=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Moving to Node #0,3,4
Current State: 14:[2, 12], Operations: ['48-9=39', '51-39=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[2, 51, 9, 48], Operations: []
Exploring Operation: 48-9=39, Resulting Numbers: [2, 51, 39]
Generated Node #0,3: 14:[2, 51, 39] Operation: 48-9=39
Moving to Node #0,3
Current State: 14:[2, 51, 39], Operations: ['48-9=39']
Exploring Operation: 51-39=12, Resulting Numbers: [2, 12]
Generated Node #0,3,4: 14:[2, 12] Operation: 51-39=12
Moving to Node #0,3,4
Current State: 14:[2, 12], Operations: ['48-9=39', '51-39=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.917535 | hs_5 | mult_heuristic |
[
27,
32,
82,
78
] | 55 | [
"27+32=59",
"82-78=4",
"59-4=55"
] | Current State: 55:[27, 32, 82, 78], Operations: []
Exploring Operation: 27+32=59, Resulting Numbers: [82, 78, 59]
Generated Node #2: [82, 78, 59] from Operation: 27+32=59
Current State: 55:[82, 78, 59], Operations: ['27+32=59']
Exploring Operation: 82-78=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 82-78=4
Current State: 55:[59, 4], Operations: ['27+32=59', '82-78=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[27, 32, 82, 78], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [27, 32, 4]
Generated Node #0,0: 55:[27, 32, 4] Operation: 82-78=4
Exploring Operation: 32-27=5, Resulting Numbers: [82, 78, 5]
Generated Node #0,1: 55:[82, 78, 5] Operation: 32-27=5
Exploring Operation: 82-32=50, Resulting Numbers: [27, 78, 50]
Generated Node #0,2: 55:[27, 78, 50] Operation: 82-32=50
Exploring Operation: 82-27=55, Resulting Numbers: [32, 78, 55]
Generated Node #0,3: 55:[32, 78, 55] Operation: 82-27=55
Moving to Node #0,0
Current State: 55:[27, 32, 4], Operations: ['82-78=4']
Exploring Operation: 27+32=59, Resulting Numbers: [4, 59]
Generated Node #0,0,0: 55:[4, 59] Operation: 27+32=59
Exploring Operation: 32/4=8, Resulting Numbers: [27, 8]
Generated Node #0,0,1: 55:[27, 8] Operation: 32/4=8
Exploring Operation: 32-27=5, Resulting Numbers: [4, 5]
Generated Node #0,0,2: 55:[4, 5] Operation: 32-27=5
Exploring Operation: 27-4=23, Resulting Numbers: [32, 23]
Generated Node #0,0,3: 55:[32, 23] Operation: 27-4=23
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[4, 5], Operations: ['82-78=4', '32-27=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No 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: 55:[4, 59], Operations: ['82-78=4', '27+32=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[27, 32, 82, 78], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [27, 32, 4]
Generated Node #0,0: 55:[27, 32, 4] Operation: 82-78=4
Moving to Node #0,0
Current State: 55:[27, 32, 4], Operations: ['82-78=4']
Exploring Operation: 27+32=59, Resulting Numbers: [4, 59]
Generated Node #0,0,0: 55:[4, 59] Operation: 27+32=59
Moving to Node #0,0,0
Current State: 55:[4, 59], Operations: ['82-78=4', '27+32=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
81,
72,
50,
85
] | 18 | [
"81+72=153",
"50+85=135",
"153-135=18"
] | Current State: 18:[81, 72, 50, 85], Operations: []
Exploring Operation: 81+72=153, Resulting Numbers: [50, 85, 153]
Generated Node #2: [50, 85, 153] from Operation: 81+72=153
Current State: 18:[50, 85, 153], Operations: ['81+72=153']
Exploring Operation: 50+85=135, Resulting Numbers: [153, 135]
Generated Node #3: [153, 135] from Operation: 50+85=135
Current State: 18:[153, 135], Operations: ['81+72=153', '50+85=135']
Exploring Operation: 153-135=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[81, 72, 50, 85], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [72, 50, 4]
Generated Node #0,0: 18:[72, 50, 4] Operation: 85-81=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[72, 50, 4], Operations: ['85-81=4']
Exploring Operation: 72-50=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 18:[4, 22] Operation: 72-50=22
Moving to Node #0,0,0
Current State: 18:[4, 22], Operations: ['85-81=4', '72-50=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[81, 72, 50, 85], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [72, 50, 4]
Generated Node #0,0: 18:[72, 50, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 18:[72, 50, 4], Operations: ['85-81=4']
Exploring Operation: 72-50=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 18:[4, 22] Operation: 72-50=22
Moving to Node #0,0,0
Current State: 18:[4, 22], Operations: ['85-81=4', '72-50=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
76,
79,
16,
37
] | 12 | [
"76+79=155",
"37+155=192",
"192/16=12"
] | Current State: 12:[76, 79, 16, 37], Operations: []
Exploring Operation: 76+79=155, Resulting Numbers: [16, 37, 155]
Generated Node #2: [16, 37, 155] from Operation: 76+79=155
Current State: 12:[16, 37, 155], Operations: ['76+79=155']
Exploring Operation: 37+155=192, Resulting Numbers: [16, 192]
Generated Node #3: [16, 192] from Operation: 37+155=192
Current State: 12:[16, 192], Operations: ['76+79=155', '37+155=192']
Exploring Operation: 192/16=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[76, 79, 16, 37], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [16, 37, 3]
Generated Node #0,0: 12:[16, 37, 3] Operation: 79-76=3
Exploring Operation: 79-37=42, Resulting Numbers: [76, 16, 42]
Generated Node #0,1: 12:[76, 16, 42] Operation: 79-37=42
Exploring Operation: 76-37=39, Resulting Numbers: [79, 16, 39]
Generated Node #0,2: 12:[79, 16, 39] Operation: 76-37=39
Exploring Operation: 76-16=60, Resulting Numbers: [79, 37, 60]
Generated Node #0,3: 12:[79, 37, 60] Operation: 76-16=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[16, 37, 3], Operations: ['79-76=3']
Exploring Operation: 37-3=34, Resulting Numbers: [16, 34]
Generated Node #0,0,0: 12:[16, 34] Operation: 37-3=34
Exploring Operation: 16+3=19, Resulting Numbers: [37, 19]
Generated Node #0,0,1: 12:[37, 19] Operation: 16+3=19
Exploring Operation: 37-16=21, Resulting Numbers: [3, 21]
Generated Node #0,0,2: 12:[3, 21] Operation: 37-16=21
Exploring Operation: 16-3=13, Resulting Numbers: [37, 13]
Generated Node #0,0,3: 12:[37, 13] Operation: 16-3=13
Moving to Node #0,0,2
Current State: 12:[3, 21], Operations: ['79-76=3', '37-16=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[37, 13], Operations: ['79-76=3', '16-3=13']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,12 unequal: No Solution
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[16, 34], Operations: ['79-76=3', '37-3=34']
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,12 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[37, 19], Operations: ['79-76=3', '16+3=19']
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,12 unequal: No Solution
Exploring Operation: 37*19=703, Resulting Numbers: [703]
703,12 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,12 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 #0,1
Current State: 12:[76, 16, 42], Operations: ['79-37=42']
Exploring Operation: 76-42=34, Resulting Numbers: [16, 34]
Generated Node #0,1,0: 12:[16, 34] Operation: 76-42=34
Exploring Operation: 42-16=26, Resulting Numbers: [76, 26]
Generated Node #0,1,1: 12:[76, 26] Operation: 42-16=26
Exploring Operation: 76-16=60, Resulting Numbers: [42, 60]
Generated Node #0,1,2: 12:[42, 60] Operation: 76-16=60
Exploring Operation: 76+16=92, Resulting Numbers: [42, 92]
Generated Node #0,1,3: 12:[42, 92] Operation: 76+16=92
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[16, 34], Operations: ['79-37=42', '76-42=34']
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,12 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:[76, 26], Operations: ['79-37=42', '42-16=26']
Exploring Operation: 76+26=102, Resulting Numbers: [102]
102,12 unequal: No Solution
Exploring Operation: 76*26=1976, Resulting Numbers: [1976]
1976,12 unequal: No Solution
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,12 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 #0,1,2
Current State: 12:[42, 60], Operations: ['79-37=42', '76-16=60']
Exploring Operation: 42+60=102, Resulting Numbers: [102]
102,12 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 42*60=2520, Resulting Numbers: [2520]
2520,12 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 #0,1,3
Current State: 12:[42, 92], Operations: ['79-37=42', '76+16=92']
Exploring Operation: 42*92=3864, Resulting Numbers: [3864]
3864,12 unequal: No Solution
Exploring Operation: 42+92=134, Resulting Numbers: [134]
134,12 unequal: No Solution
Exploring Operation: 92-42=50, Resulting Numbers: [50]
50,12 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 #0,2
Current State: 12:[79, 16, 39], Operations: ['76-37=39']
Exploring Operation: 79-39=40, Resulting Numbers: [16, 40]
Generated Node #0,2,0: 12:[16, 40] Operation: 79-39=40
Exploring Operation: 79+16=95, Resulting Numbers: [39, 95]
Generated Node #0,2,1: 12:[39, 95] Operation: 79+16=95
Exploring Operation: 79-16=63, Resulting Numbers: [39, 63]
Generated Node #0,2,2: 12:[39, 63] Operation: 79-16=63
Exploring Operation: 39-16=23, Resulting Numbers: [79, 23]
Generated Node #0,2,3: 12:[79, 23] Operation: 39-16=23
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[16, 40], Operations: ['76-37=39', '79-39=40']
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,12 unequal: No Solution
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,12 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,12 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 #0,2,2
Current State: 12:[39, 63], Operations: ['76-37=39', '79-16=63']
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 39+63=102, Resulting Numbers: [102]
102,12 unequal: No Solution
Exploring Operation: 39*63=2457, Resulting Numbers: [2457]
2457,12 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 #0,2,3
Current State: 12:[79, 23], Operations: ['76-37=39', '39-16=23']
Exploring Operation: 79+23=102, Resulting Numbers: [102]
102,12 unequal: No Solution
Exploring Operation: 79*23=1817, Resulting Numbers: [1817]
1817,12 unequal: No Solution
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,12 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 #0,2,1
Current State: 12:[39, 95], Operations: ['76-37=39', '79+16=95']
Exploring Operation: 39+95=134, Resulting Numbers: [134]
134,12 unequal: No Solution
Exploring Operation: 95-39=56, Resulting Numbers: [56]
56,12 unequal: No Solution
Exploring Operation: 39*95=3705, Resulting Numbers: [3705]
3705,12 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 #0,3
Current State: 12:[79, 37, 60], Operations: ['76-16=60']
Exploring Operation: 79-37=42, Resulting Numbers: [60, 42]
Generated Node #0,3,0: 12:[60, 42] Operation: 79-37=42
Exploring Operation: 79-60=19, Resulting Numbers: [37, 19]
Generated Node #0,3,1: 12:[37, 19] Operation: 79-60=19
Exploring Operation: 79+37=116, Resulting Numbers: [60, 116]
Generated Node #0,3,2: 12:[60, 116] Operation: 79+37=116
Exploring Operation: 60-37=23, Resulting Numbers: [79, 23]
Generated Node #0,3,3: 12:[79, 23] Operation: 60-37=23
Moving to Node #0,3,1
Current State: 12:[37, 19], Operations: ['76-16=60', '79-60=19']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,12 unequal: No Solution
Exploring Operation: 37*19=703, Resulting Numbers: [703]
703,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[79, 23], Operations: ['76-16=60', '60-37=23']
Exploring Operation: 79*23=1817, Resulting Numbers: [1817]
1817,12 unequal: No Solution
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,12 unequal: No Solution
Exploring Operation: 79+23=102, Resulting Numbers: [102]
102,12 unequal: No Solution
Moving to Node #0,3,0
Current State: 12:[60, 42], Operations: ['76-16=60', '79-37=42']
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 60+42=102, Resulting Numbers: [102]
102,12 unequal: No Solution
Exploring Operation: 60*42=2520, Resulting Numbers: [2520]
2520,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[60, 116], Operations: ['76-16=60', '79+37=116']
Exploring Operation: 60*116=6960, Resulting Numbers: [6960]
6960,12 unequal: No Solution
Exploring Operation: 116-60=56, Resulting Numbers: [56]
56,12 unequal: No Solution
Exploring Operation: 60+116=176, Resulting Numbers: [176]
176,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
41,
89,
41,
23
] | 89 | [
"41-41=0",
"23*0=0",
"89+0=89"
] | Current State: 89:[41, 89, 41, 23], Operations: []
Exploring Operation: 41-41=0, Resulting Numbers: [89, 23, 0]
Generated Node #2: [89, 23, 0] from Operation: 41-41=0
Current State: 89:[89, 23, 0], Operations: ['41-41=0']
Exploring Operation: 23*0=0, Resulting Numbers: [89, 0]
Generated Node #3: [89, 0] from Operation: 23*0=0
Current State: 89:[89, 0], Operations: ['41-41=0', '23*0=0']
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[41, 89, 41, 23], Operations: []
Exploring Operation: 41+41=82, Resulting Numbers: [89, 23, 82]
Generated Node #0,0: 89:[89, 23, 82] Operation: 41+41=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[89, 23, 82], Operations: ['41+41=82']
Exploring Operation: 23+82=105, Resulting Numbers: [89, 105]
Generated Node #0,0,0: 89:[89, 105] Operation: 23+82=105
Moving to Node #0,0,0
Current State: 89:[89, 105], Operations: ['41+41=82', '23+82=105']
Exploring Operation: 105-89=16, Resulting Numbers: [16]
16,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
69,
55,
21,
26
] | 80 | [
"26-21=5",
"55/5=11",
"69+11=80"
] | Current State: 80:[69, 55, 21, 26], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [69, 55, 5]
Generated Node #2: [69, 55, 5] from Operation: 26-21=5
Current State: 80:[69, 55, 5], Operations: ['26-21=5']
Exploring Operation: 55/5=11, Resulting Numbers: [69, 11]
Generated Node #3: [69, 11] from Operation: 55/5=11
Current State: 80:[69, 11], Operations: ['26-21=5', '55/5=11']
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[69, 55, 21, 26], Operations: []
Exploring Operation: 55+21=76, Resulting Numbers: [69, 26, 76]
Generated Node #0,0: 80:[69, 26, 76] Operation: 55+21=76
Exploring Operation: 69-55=14, Resulting Numbers: [21, 26, 14]
Generated Node #0,1: 80:[21, 26, 14] Operation: 69-55=14
Exploring Operation: 55+26=81, Resulting Numbers: [69, 21, 81]
Generated Node #0,2: 80:[69, 21, 81] Operation: 55+26=81
Exploring Operation: 69-26=43, Resulting Numbers: [55, 21, 43]
Generated Node #0,3: 80:[55, 21, 43] Operation: 69-26=43
Moving to Node #0,1
Current State: 80:[21, 26, 14], Operations: ['69-55=14']
Exploring Operation: 26+14=40, Resulting Numbers: [21, 40]
Generated Node #0,1,0: 80:[21, 40] Operation: 26+14=40
Exploring Operation: 26-21=5, Resulting Numbers: [14, 5]
Generated Node #0,1,1: 80:[14, 5] Operation: 26-21=5
Exploring Operation: 21-14=7, Resulting Numbers: [26, 7]
Generated Node #0,1,2: 80:[26, 7] Operation: 21-14=7
Exploring Operation: 26-14=12, Resulting Numbers: [21, 12]
Generated Node #0,1,3: 80:[21, 12] Operation: 26-14=12
Moving to Node #0,2
Current State: 80:[69, 21, 81], Operations: ['55+26=81']
Exploring Operation: 69-21=48, Resulting Numbers: [81, 48]
Generated Node #0,2,0: 80:[81, 48] Operation: 69-21=48
Exploring Operation: 81-21=60, Resulting Numbers: [69, 60]
Generated Node #0,2,1: 80:[69, 60] Operation: 81-21=60
Exploring Operation: 81-69=12, Resulting Numbers: [21, 12]
Generated Node #0,2,2: 80:[21, 12] Operation: 81-69=12
Exploring Operation: 69+21=90, Resulting Numbers: [81, 90]
Generated Node #0,2,3: 80:[81, 90] Operation: 69+21=90
Moving to Node #0,3
Current State: 80:[55, 21, 43], Operations: ['69-26=43']
Exploring Operation: 43-21=22, Resulting Numbers: [55, 22]
Generated Node #0,3,0: 80:[55, 22] Operation: 43-21=22
Exploring Operation: 55-21=34, Resulting Numbers: [43, 34]
Generated Node #0,3,1: 80:[43, 34] Operation: 55-21=34
Exploring Operation: 55-43=12, Resulting Numbers: [21, 12]
Generated Node #0,3,2: 80:[21, 12] Operation: 55-43=12
Exploring Operation: 55+21=76, Resulting Numbers: [43, 76]
Generated Node #0,3,3: 80:[43, 76] Operation: 55+21=76
Moving to Node #0,0
Current State: 80:[69, 26, 76], Operations: ['55+21=76']
Exploring Operation: 76-69=7, Resulting Numbers: [26, 7]
Generated Node #0,0,0: 80:[26, 7] Operation: 76-69=7
Exploring Operation: 69+26=95, Resulting Numbers: [76, 95]
Generated Node #0,0,1: 80:[76, 95] Operation: 69+26=95
Exploring Operation: 76-26=50, Resulting Numbers: [69, 50]
Generated Node #0,0,2: 80:[69, 50] Operation: 76-26=50
Exploring Operation: 69-26=43, Resulting Numbers: [76, 43]
Generated Node #0,0,3: 80:[76, 43] Operation: 69-26=43
Moving to Node #0,1,0
Current State: 80:[21, 40], Operations: ['69-55=14', '26+14=40']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 21*40=840, Resulting Numbers: [840]
840,80 unequal: No Solution
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[14, 5], Operations: ['69-55=14', '26-21=5']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[21, 12], Operations: ['69-55=14', '26-14=12']
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,80 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[21, 12], Operations: ['55+26=81', '81-69=12']
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,80 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[21, 12], Operations: ['69-26=43', '55-43=12']
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,80 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[76, 43], Operations: ['55+21=76', '69-26=43']
Exploring Operation: 76+43=119, Resulting Numbers: [119]
119,80 unequal: No Solution
Exploring Operation: 76*43=3268, Resulting Numbers: [3268]
3268,80 unequal: No Solution
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[26, 7], Operations: ['55+21=76', '76-69=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[43, 76], Operations: ['69-26=43', '55+21=76']
Exploring Operation: 43*76=3268, Resulting Numbers: [3268]
3268,80 unequal: No Solution
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 43+76=119, Resulting Numbers: [119]
119,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[26, 7], Operations: ['69-55=14', '21-14=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,80 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[81, 48], Operations: ['55+26=81', '69-21=48']
Exploring Operation: 81+48=129, Resulting Numbers: [129]
129,80 unequal: No Solution
Exploring Operation: 81-48=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 81*48=3888, Resulting Numbers: [3888]
3888,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[43, 34], Operations: ['69-26=43', '55-21=34']
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 43*34=1462, Resulting Numbers: [1462]
1462,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[81, 90], Operations: ['55+26=81', '69+21=90']
Exploring Operation: 90-81=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 81*90=7290, Resulting Numbers: [7290]
7290,80 unequal: No Solution
Exploring Operation: 81+90=171, Resulting Numbers: [171]
171,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[55, 22], Operations: ['69-26=43', '43-21=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,80 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[76, 95], Operations: ['55+21=76', '69+26=95']
Exploring Operation: 95-76=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 76+95=171, Resulting Numbers: [171]
171,80 unequal: No Solution
Exploring Operation: 76*95=7220, Resulting Numbers: [7220]
7220,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[69, 50], Operations: ['55+21=76', '76-26=50']
Exploring Operation: 69*50=3450, Resulting Numbers: [3450]
3450,80 unequal: No Solution
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 69+50=119, Resulting Numbers: [119]
119,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[69, 60], Operations: ['55+26=81', '81-21=60']
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,80 unequal: No Solution
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,80 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
30,
16,
70,
54
] | 31 | [
"70-16=54",
"54/54=1",
"30+1=31"
] | Current State: 31:[30, 16, 70, 54], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [30, 54, 54]
Generated Node #2: [30, 54, 54] from Operation: 70-16=54
Current State: 31:[30, 54, 54], Operations: ['70-16=54']
Exploring Operation: 54/54=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 54/54=1
Current State: 31:[30, 1], Operations: ['70-16=54', '54/54=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[30, 16, 70, 54], Operations: []
Exploring Operation: 70-54=16, Resulting Numbers: [30, 16, 16]
Generated Node #0,0: 31:[30, 16, 16] Operation: 70-54=16
Moving to Node #0,0
Current State: 31:[30, 16, 16], Operations: ['70-54=16']
Exploring Operation: 16+16=32, Resulting Numbers: [30, 32]
Generated Node #0,0,0: 31:[30, 32] Operation: 16+16=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[30, 32], Operations: ['70-54=16', '16+16=32']
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
35,
45,
25,
3
] | 60 | [
"35*45=1575",
"1575/25=63",
"63-3=60"
] | Current State: 60:[35, 45, 25, 3], Operations: []
Exploring Operation: 35*45=1575, Resulting Numbers: [25, 3, 1575]
Generated Node #2: [25, 3, 1575] from Operation: 35*45=1575
Current State: 60:[25, 3, 1575], Operations: ['35*45=1575']
Exploring Operation: 1575/25=63, Resulting Numbers: [3, 63]
Generated Node #3: [3, 63] from Operation: 1575/25=63
Current State: 60:[3, 63], Operations: ['35*45=1575', '1575/25=63']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[35, 45, 25, 3], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [25, 3, 10]
Generated Node #0,0: 60:[25, 3, 10] Operation: 45-35=10
Moving to Node #0,0
Current State: 60:[25, 3, 10], Operations: ['45-35=10']
Exploring Operation: 25-10=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 60:[3, 15] Operation: 25-10=15
Moving to Node #0,0,0
Current State: 60:[3, 15], Operations: ['45-35=10', '25-10=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,60 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
18,
79,
48,
21
] | 95 | [
"21-18=3",
"48/3=16",
"79+16=95"
] | Current State: 95:[18, 79, 48, 21], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [79, 48, 3]
Generated Node #2: [79, 48, 3] from Operation: 21-18=3
Current State: 95:[79, 48, 3], Operations: ['21-18=3']
Exploring Operation: 48/3=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 48/3=16
Current State: 95:[79, 16], Operations: ['21-18=3', '48/3=16']
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[18, 79, 48, 21], Operations: []
Exploring Operation: 48-21=27, Resulting Numbers: [18, 79, 27]
Generated Node #0,0: 95:[18, 79, 27] Operation: 48-21=27
Exploring Operation: 79-48=31, Resulting Numbers: [18, 21, 31]
Generated Node #0,1: 95:[18, 21, 31] Operation: 79-48=31
Exploring Operation: 48-18=30, Resulting Numbers: [79, 21, 30]
Generated Node #0,2: 95:[79, 21, 30] Operation: 48-18=30
Exploring Operation: 18+79=97, Resulting Numbers: [48, 21, 97]
Generated Node #0,3: 95:[48, 21, 97] Operation: 18+79=97
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[18, 21, 31], Operations: ['79-48=31']
Exploring Operation: 18+21=39, Resulting Numbers: [31, 39]
Generated Node #0,1,0: 95:[31, 39] Operation: 18+21=39
Exploring Operation: 31-21=10, Resulting Numbers: [18, 10]
Generated Node #0,1,1: 95:[18, 10] Operation: 31-21=10
Exploring Operation: 31-18=13, Resulting Numbers: [21, 13]
Generated Node #0,1,2: 95:[21, 13] Operation: 31-18=13
Exploring Operation: 21-18=3, Resulting Numbers: [31, 3]
Generated Node #0,1,3: 95:[31, 3] Operation: 21-18=3
Moving to Node #0,1,1
Current State: 95:[18, 10], Operations: ['79-48=31', '31-21=10']
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,95 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[21, 13], Operations: ['79-48=31', '31-18=13']
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,95 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,95 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[31, 3], Operations: ['79-48=31', '21-18=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,95 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[31, 39], Operations: ['79-48=31', '18+21=39']
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 31*39=1209, Resulting Numbers: [1209]
1209,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[18, 79, 27], Operations: ['48-21=27']
Exploring Operation: 79-27=52, Resulting Numbers: [18, 52]
Generated Node #0,0,0: 95:[18, 52] Operation: 79-27=52
Exploring Operation: 18+79=97, Resulting Numbers: [27, 97]
Generated Node #0,0,1: 95:[27, 97] Operation: 18+79=97
Exploring Operation: 27-18=9, Resulting Numbers: [79, 9]
Generated Node #0,0,2: 95:[79, 9] Operation: 27-18=9
Exploring Operation: 79+27=106, Resulting Numbers: [18, 106]
Generated Node #0,0,3: 95:[18, 106] Operation: 79+27=106
Moving to Node #0,0,1
Current State: 95:[27, 97], Operations: ['48-21=27', '18+79=97']
Exploring Operation: 27+97=124, Resulting Numbers: [124]
124,95 unequal: No Solution
Exploring Operation: 97-27=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 27*97=2619, Resulting Numbers: [2619]
2619,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[18, 106], Operations: ['48-21=27', '79+27=106']
Exploring Operation: 18+106=124, Resulting Numbers: [124]
124,95 unequal: No Solution
Exploring Operation: 18*106=1908, Resulting Numbers: [1908]
1908,95 unequal: No Solution
Exploring Operation: 106-18=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[79, 9], Operations: ['48-21=27', '27-18=9']
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 79+9=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 79*9=711, Resulting Numbers: [711]
711,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[18, 52], Operations: ['48-21=27', '79-27=52']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,95 unequal: No Solution
Exploring Operation: 18*52=936, Resulting Numbers: [936]
936,95 unequal: No Solution
Exploring Operation: 18+52=70, Resulting Numbers: [70]
70,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[79, 21, 30], Operations: ['48-18=30']
Exploring Operation: 79+21=100, Resulting Numbers: [30, 100]
Generated Node #0,2,0: 95:[30, 100] Operation: 79+21=100
Exploring Operation: 30-21=9, Resulting Numbers: [79, 9]
Generated Node #0,2,1: 95:[79, 9] Operation: 30-21=9
Exploring Operation: 79-30=49, Resulting Numbers: [21, 49]
Generated Node #0,2,2: 95:[21, 49] Operation: 79-30=49
Exploring Operation: 79+30=109, Resulting Numbers: [21, 109]
Generated Node #0,2,3: 95:[21, 109] Operation: 79+30=109
Moving to Node #0,2,0
Current State: 95:[30, 100], Operations: ['48-18=30', '79+21=100']
Exploring Operation: 30*100=3000, Resulting Numbers: [3000]
3000,95 unequal: No Solution
Exploring Operation: 30+100=130, Resulting Numbers: [130]
130,95 unequal: No Solution
Exploring Operation: 100-30=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[21, 109], Operations: ['48-18=30', '79+30=109']
Exploring Operation: 21*109=2289, Resulting Numbers: [2289]
2289,95 unequal: No Solution
Exploring Operation: 109-21=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 21+109=130, Resulting Numbers: [130]
130,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[79, 9], Operations: ['48-18=30', '30-21=9']
Exploring Operation: 79+9=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 79*9=711, Resulting Numbers: [711]
711,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[21, 49], Operations: ['48-18=30', '79-30=49']
Exploring Operation: 21*49=1029, Resulting Numbers: [1029]
1029,95 unequal: No Solution
Exploring Operation: 21+49=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[48, 21, 97], Operations: ['18+79=97']
Exploring Operation: 97-21=76, Resulting Numbers: [48, 76]
Generated Node #0,3,0: 95:[48, 76] Operation: 97-21=76
Exploring Operation: 97-48=49, Resulting Numbers: [21, 49]
Generated Node #0,3,1: 95:[21, 49] Operation: 97-48=49
Exploring Operation: 48+21=69, Resulting Numbers: [97, 69]
Generated Node #0,3,2: 95:[97, 69] Operation: 48+21=69
Exploring Operation: 48-21=27, Resulting Numbers: [97, 27]
Generated Node #0,3,3: 95:[97, 27] Operation: 48-21=27
Moving to Node #0,3,3
Current State: 95:[97, 27], Operations: ['18+79=97', '48-21=27']
Exploring Operation: 97+27=124, Resulting Numbers: [124]
124,95 unequal: No Solution
Exploring Operation: 97-27=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 97*27=2619, Resulting Numbers: [2619]
2619,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[97, 69], Operations: ['18+79=97', '48+21=69']
Exploring Operation: 97*69=6693, Resulting Numbers: [6693]
6693,95 unequal: No Solution
Exploring Operation: 97+69=166, Resulting Numbers: [166]
166,95 unequal: No Solution
Exploring Operation: 97-69=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[21, 49], Operations: ['18+79=97', '97-48=49']
Exploring Operation: 21+49=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 21*49=1029, Resulting Numbers: [1029]
1029,95 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Moving to Node #0,3,0
Current State: 95:[48, 76], Operations: ['18+79=97', '97-21=76']
Exploring Operation: 76-48=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 48+76=124, Resulting Numbers: [124]
124,95 unequal: No Solution
Exploring Operation: 48*76=3648, Resulting Numbers: [3648]
3648,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
1,
58,
54,
7
] | 27 | [
"58-54=4",
"7*4=28",
"28-1=27"
] | Current State: 27:[1, 58, 54, 7], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [1, 7, 4]
Generated Node #2: [1, 7, 4] from Operation: 58-54=4
Current State: 27:[1, 7, 4], Operations: ['58-54=4']
Exploring Operation: 7*4=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 7*4=28
Current State: 27:[1, 28], Operations: ['58-54=4', '7*4=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[1, 58, 54, 7], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [1, 7, 4]
Generated Node #0,0: 27:[1, 7, 4] Operation: 58-54=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[1, 7, 4], Operations: ['58-54=4']
Exploring Operation: 1+7=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 27:[4, 8] Operation: 1+7=8
Moving to Node #0,0,0
Current State: 27:[4, 8], Operations: ['58-54=4', '1+7=8']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,27 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 |
[
23,
60,
21,
19
] | 30 | [
"23+19=42",
"60*21=1260",
"1260/42=30"
] | Current State: 30:[23, 60, 21, 19], Operations: []
Exploring Operation: 23+19=42, Resulting Numbers: [60, 21, 42]
Generated Node #2: [60, 21, 42] from Operation: 23+19=42
Current State: 30:[60, 21, 42], Operations: ['23+19=42']
Exploring Operation: 60*21=1260, Resulting Numbers: [42, 1260]
Generated Node #3: [42, 1260] from Operation: 60*21=1260
Current State: 30:[42, 1260], Operations: ['23+19=42', '60*21=1260']
Exploring Operation: 1260/42=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[23, 60, 21, 19], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [23, 19, 39]
Generated Node #0,0: 30:[23, 19, 39] Operation: 60-21=39
Exploring Operation: 60-23=37, Resulting Numbers: [21, 19, 37]
Generated Node #0,1: 30:[21, 19, 37] Operation: 60-23=37
Exploring Operation: 60-19=41, Resulting Numbers: [23, 21, 41]
Generated Node #0,2: 30:[23, 21, 41] Operation: 60-19=41
Exploring Operation: 23-21=2, Resulting Numbers: [60, 19, 2]
Generated Node #0,3: 30:[60, 19, 2] Operation: 23-21=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[21, 19, 37], Operations: ['60-23=37']
Exploring Operation: 37-21=16, Resulting Numbers: [19, 16]
Generated Node #0,1,0: 30:[19, 16] Operation: 37-21=16
Exploring Operation: 21-19=2, Resulting Numbers: [37, 2]
Generated Node #0,1,1: 30:[37, 2] Operation: 21-19=2
Exploring Operation: 37-19=18, Resulting Numbers: [21, 18]
Generated Node #0,1,2: 30:[21, 18] Operation: 37-19=18
Exploring Operation: 21+19=40, Resulting Numbers: [37, 40]
Generated Node #0,1,3: 30:[37, 40] Operation: 21+19=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[19, 16], Operations: ['60-23=37', '37-21=16']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,30 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:[37, 2], Operations: ['60-23=37', '21-19=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,30 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 #0,1,2
Current State: 30:[21, 18], Operations: ['60-23=37', '37-19=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,30 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,30 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 #0,1,3
Current State: 30:[37, 40], Operations: ['60-23=37', '21+19=40']
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 37*40=1480, Resulting Numbers: [1480]
1480,30 unequal: No Solution
Exploring Operation: 37+40=77, Resulting Numbers: [77]
77,30 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:[23, 19, 39], Operations: ['60-21=39']
Exploring Operation: 23+19=42, Resulting Numbers: [39, 42]
Generated Node #0,0,0: 30:[39, 42] Operation: 23+19=42
Exploring Operation: 23-19=4, Resulting Numbers: [39, 4]
Generated Node #0,0,1: 30:[39, 4] Operation: 23-19=4
Exploring Operation: 39-19=20, Resulting Numbers: [23, 20]
Generated Node #0,0,2: 30:[23, 20] Operation: 39-19=20
Exploring Operation: 39-23=16, Resulting Numbers: [19, 16]
Generated Node #0,0,3: 30:[19, 16] Operation: 39-23=16
Moving to Node #0,0,3
Current State: 30:[19, 16], Operations: ['60-21=39', '39-23=16']
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,30 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[39, 4], Operations: ['60-21=39', '23-19=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[23, 20], Operations: ['60-21=39', '39-19=20']
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,30 unequal: No Solution
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[39, 42], Operations: ['60-21=39', '23+19=42']
Exploring Operation: 39*42=1638, Resulting Numbers: [1638]
1638,30 unequal: No Solution
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,30 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[23, 21, 41], Operations: ['60-19=41']
Exploring Operation: 23+21=44, Resulting Numbers: [41, 44]
Generated Node #0,2,0: 30:[41, 44] Operation: 23+21=44
Exploring Operation: 23-21=2, Resulting Numbers: [41, 2]
Generated Node #0,2,1: 30:[41, 2] Operation: 23-21=2
Exploring Operation: 41-21=20, Resulting Numbers: [23, 20]
Generated Node #0,2,2: 30:[23, 20] Operation: 41-21=20
Exploring Operation: 41-23=18, Resulting Numbers: [21, 18]
Generated Node #0,2,3: 30:[21, 18] Operation: 41-23=18
Moving to Node #0,2,3
Current State: 30:[21, 18], Operations: ['60-19=41', '41-23=18']
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,30 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[41, 2], Operations: ['60-19=41', '23-21=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,30 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[23, 20], Operations: ['60-19=41', '41-21=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,30 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[41, 44], Operations: ['60-19=41', '23+21=44']
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,30 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[60, 19, 2], Operations: ['23-21=2']
Exploring Operation: 19-2=17, Resulting Numbers: [60, 17]
Generated Node #0,3,0: 30:[60, 17] Operation: 19-2=17
Exploring Operation: 60-19=41, Resulting Numbers: [2, 41]
Generated Node #0,3,1: 30:[2, 41] Operation: 60-19=41
Exploring Operation: 60-2=58, Resulting Numbers: [19, 58]
Generated Node #0,3,2: 30:[19, 58] Operation: 60-2=58
Exploring Operation: 60/2=30, Resulting Numbers: [19, 30]
Generated Node #0,3,3: 30:[19, 30] Operation: 60/2=30
Moving to Node #0,3,3
Current State: 30:[19, 30], Operations: ['23-21=2', '60/2=30']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[2, 41], Operations: ['23-21=2', '60-19=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,30 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[19, 58], Operations: ['23-21=2', '60-2=58']
Exploring Operation: 19*58=1102, Resulting Numbers: [1102]
1102,30 unequal: No Solution
Exploring Operation: 19+58=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Moving to Node #0,3,0
Current State: 30:[60, 17], Operations: ['23-21=2', '19-2=17']
Exploring Operation: 60*17=1020, Resulting Numbers: [1020]
1020,30 unequal: No Solution
Exploring Operation: 60+17=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
92,
63,
84,
2
] | 67 | [
"92*63=5796",
"5796/84=69",
"69-2=67"
] | Current State: 67:[92, 63, 84, 2], Operations: []
Exploring Operation: 92*63=5796, Resulting Numbers: [84, 2, 5796]
Generated Node #2: [84, 2, 5796] from Operation: 92*63=5796
Current State: 67:[84, 2, 5796], Operations: ['92*63=5796']
Exploring Operation: 5796/84=69, Resulting Numbers: [2, 69]
Generated Node #3: [2, 69] from Operation: 5796/84=69
Current State: 67:[2, 69], Operations: ['92*63=5796', '5796/84=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[92, 63, 84, 2], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [63, 84, 46]
Generated Node #0,0: 67:[63, 84, 46] Operation: 92/2=46
Moving to Node #0,0
Current State: 67:[63, 84, 46], Operations: ['92/2=46']
Exploring Operation: 84-46=38, Resulting Numbers: [63, 38]
Generated Node #0,0,0: 67:[63, 38] Operation: 84-46=38
Moving to Node #0,0,0
Current State: 67:[63, 38], Operations: ['92/2=46', '84-46=38']
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,67 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
6,
8,
2,
89
] | 27 | [
"6/2=3",
"89-8=81",
"81/3=27"
] | Current State: 27:[6, 8, 2, 89], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [8, 89, 3]
Generated Node #2: [8, 89, 3] from Operation: 6/2=3
Current State: 27:[8, 89, 3], Operations: ['6/2=3']
Exploring Operation: 89-8=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 89-8=81
Current State: 27:[3, 81], Operations: ['6/2=3', '89-8=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[6, 8, 2, 89], Operations: []
Exploring Operation: 89-6=83, Resulting Numbers: [8, 2, 83]
Generated Node #0,0: 27:[8, 2, 83] Operation: 89-6=83
Exploring Operation: 6/2=3, Resulting Numbers: [8, 89, 3]
Generated Node #0,1: 27:[8, 89, 3] Operation: 6/2=3
Exploring Operation: 8-6=2, Resulting Numbers: [2, 89, 2]
Generated Node #0,2: 27:[2, 89, 2] Operation: 8-6=2
Exploring Operation: 89-8=81, Resulting Numbers: [6, 2, 81]
Generated Node #0,3: 27:[6, 2, 81] Operation: 89-8=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[8, 2, 83], Operations: ['89-6=83']
Exploring Operation: 83-8=75, Resulting Numbers: [2, 75]
Generated Node #0,0,0: 27:[2, 75] Operation: 83-8=75
Exploring Operation: 8+2=10, Resulting Numbers: [83, 10]
Generated Node #0,0,1: 27:[83, 10] Operation: 8+2=10
Exploring Operation: 83-2=81, Resulting Numbers: [8, 81]
Generated Node #0,0,2: 27:[8, 81] Operation: 83-2=81
Exploring Operation: 8/2=4, Resulting Numbers: [83, 4]
Generated Node #0,0,3: 27:[83, 4] Operation: 8/2=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[2, 75], Operations: ['89-6=83', '83-8=75']
Exploring Operation: 2*75=150, Resulting Numbers: [150]
150,27 unequal: No Solution
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,27 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 27:[8, 81], Operations: ['89-6=83', '83-2=81']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 8*81=648, Resulting Numbers: [648]
648,27 unequal: No Solution
Exploring Operation: 8+81=89, Resulting Numbers: [89]
89,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 27:[83, 10], Operations: ['89-6=83', '8+2=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 83*10=830, Resulting Numbers: [830]
830,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 27:[83, 4], Operations: ['89-6=83', '8/2=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,27 unequal: No Solution
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,27 unequal: No Solution
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[6, 2, 81], Operations: ['89-8=81']
Exploring Operation: 6/2=3, Resulting Numbers: [81, 3]
Generated Node #0,3,0: 27:[81, 3] Operation: 6/2=3
Exploring Operation: 6-2=4, Resulting Numbers: [81, 4]
Generated Node #0,3,1: 27:[81, 4] Operation: 6-2=4
Exploring Operation: 6+2=8, Resulting Numbers: [81, 8]
Generated Node #0,3,2: 27:[81, 8] Operation: 6+2=8
Exploring Operation: 81-6=75, Resulting Numbers: [2, 75]
Generated Node #0,3,3: 27:[2, 75] Operation: 81-6=75
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 27:[2, 75], Operations: ['89-8=81', '81-6=75']
Exploring Operation: 2*75=150, Resulting Numbers: [150]
150,27 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 27:[81, 3], Operations: ['89-8=81', '6/2=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 81*3=243, Resulting Numbers: [243]
243,27 unequal: No Solution
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,27 unequal: No Solution
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[6, 8, 2, 89], Operations: []
Exploring Operation: 89-8=81, Resulting Numbers: [6, 2, 81]
Generated Node #0,3: 27:[6, 2, 81] Operation: 89-8=81
Moving to Node #0,3
Current State: 27:[6, 2, 81], Operations: ['89-8=81']
Exploring Operation: 6/2=3, Resulting Numbers: [81, 3]
Generated Node #0,3,0: 27:[81, 3] Operation: 6/2=3
Moving to Node #0,3,0
Current State: 27:[81, 3], Operations: ['89-8=81', '6/2=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
76,
80,
94,
15
] | 75 | [
"80-76=4",
"94-15=79",
"79-4=75"
] | Current State: 75:[76, 80, 94, 15], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [94, 15, 4]
Generated Node #2: [94, 15, 4] from Operation: 80-76=4
Current State: 75:[94, 15, 4], Operations: ['80-76=4']
Exploring Operation: 94-15=79, Resulting Numbers: [4, 79]
Generated Node #3: [4, 79] from Operation: 94-15=79
Current State: 75:[4, 79], Operations: ['80-76=4', '94-15=79']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[76, 80, 94, 15], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [76, 15, 14]
Generated Node #0,0: 75:[76, 15, 14] Operation: 94-80=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[76, 15, 14], Operations: ['94-80=14']
Exploring Operation: 15-14=1, Resulting Numbers: [76, 1]
Generated Node #0,0,0: 75:[76, 1] Operation: 15-14=1
Moving to Node #0,0,0
Current State: 75:[76, 1], Operations: ['94-80=14', '15-14=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[76, 80, 94, 15], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [76, 15, 14]
Generated Node #0,0: 75:[76, 15, 14] Operation: 94-80=14
Moving to Node #0,0
Current State: 75:[76, 15, 14], Operations: ['94-80=14']
Exploring Operation: 15-14=1, Resulting Numbers: [76, 1]
Generated Node #0,0,0: 75:[76, 1] Operation: 15-14=1
Moving to Node #0,0,0
Current State: 75:[76, 1], Operations: ['94-80=14', '15-14=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
37,
90,
72,
67
] | 75 | [
"67-37=30",
"90/30=3",
"72+3=75"
] | Current State: 75:[37, 90, 72, 67], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [90, 72, 30]
Generated Node #2: [90, 72, 30] from Operation: 67-37=30
Current State: 75:[90, 72, 30], Operations: ['67-37=30']
Exploring Operation: 90/30=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 90/30=3
Current State: 75:[72, 3], Operations: ['67-37=30', '90/30=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[37, 90, 72, 67], Operations: []
Exploring Operation: 90-72=18, Resulting Numbers: [37, 67, 18]
Generated Node #0,0: 75:[37, 67, 18] Operation: 90-72=18
Exploring Operation: 90-67=23, Resulting Numbers: [37, 72, 23]
Generated Node #0,1: 75:[37, 72, 23] Operation: 90-67=23
Exploring Operation: 67-37=30, Resulting Numbers: [90, 72, 30]
Generated Node #0,2: 75:[90, 72, 30] Operation: 67-37=30
Moving to Node #0,1
Current State: 75:[37, 72, 23], Operations: ['90-67=23']
Exploring Operation: 72-37=35, Resulting Numbers: [23, 35]
Generated Node #0,1,0: 75:[23, 35] Operation: 72-37=35
Exploring Operation: 37+23=60, Resulting Numbers: [72, 60]
Generated Node #0,1,1: 75:[72, 60] Operation: 37+23=60
Exploring Operation: 37-23=14, Resulting Numbers: [72, 14]
Generated Node #0,1,2: 75:[72, 14] Operation: 37-23=14
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[72, 14], Operations: ['90-67=23', '37-23=14']
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 72*14=1008, Resulting Numbers: [1008]
1008,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[23, 35], Operations: ['90-67=23', '72-37=35']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 23*35=805, Resulting Numbers: [805]
805,75 unequal: No Solution
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[72, 60], Operations: ['90-67=23', '37+23=60']
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 72*60=4320, Resulting Numbers: [4320]
4320,75 unequal: No Solution
Exploring Operation: 72+60=132, Resulting Numbers: [132]
132,75 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: 75:[37, 67, 18], Operations: ['90-72=18']
Exploring Operation: 67+18=85, Resulting Numbers: [37, 85]
Generated Node #0,0,0: 75:[37, 85] Operation: 67+18=85
Exploring Operation: 37-18=19, Resulting Numbers: [67, 19]
Generated Node #0,0,1: 75:[67, 19] Operation: 37-18=19
Exploring Operation: 67-37=30, Resulting Numbers: [18, 30]
Generated Node #0,0,2: 75:[18, 30] Operation: 67-37=30
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[18, 30], Operations: ['90-72=18', '67-37=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[67, 19], Operations: ['90-72=18', '37-18=19']
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[37, 85], Operations: ['90-72=18', '67+18=85']
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 37*85=3145, Resulting Numbers: [3145]
3145,75 unequal: No Solution
Exploring Operation: 37+85=122, Resulting Numbers: [122]
122,75 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: 75:[90, 72, 30], Operations: ['67-37=30']
Exploring Operation: 90-72=18, Resulting Numbers: [30, 18]
Generated Node #0,2,0: 75:[30, 18] Operation: 90-72=18
Exploring Operation: 90-30=60, Resulting Numbers: [72, 60]
Generated Node #0,2,1: 75:[72, 60] Operation: 90-30=60
Exploring Operation: 90/30=3, Resulting Numbers: [72, 3]
Generated Node #0,2,2: 75:[72, 3] Operation: 90/30=3
Moving to Node #0,2,2
Current State: 75:[72, 3], Operations: ['67-37=30', '90/30=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[37, 90, 72, 67], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [90, 72, 30]
Generated Node #0,2: 75:[90, 72, 30] Operation: 67-37=30
Moving to Node #0,2
Current State: 75:[90, 72, 30], Operations: ['67-37=30']
Exploring Operation: 90/30=3, Resulting Numbers: [72, 3]
Generated Node #0,2,2: 75:[72, 3] Operation: 90/30=3
Moving to Node #0,2,2
Current State: 75:[72, 3], Operations: ['67-37=30', '90/30=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.967882 | hs_3 | mult_heuristic |
[
98,
90,
45,
60
] | 36 | [
"98-60=38",
"90/45=2",
"38-2=36"
] | Current State: 36:[98, 90, 45, 60], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [90, 45, 38]
Generated Node #2: [90, 45, 38] from Operation: 98-60=38
Current State: 36:[90, 45, 38], Operations: ['98-60=38']
Exploring Operation: 90/45=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 90/45=2
Current State: 36:[38, 2], Operations: ['98-60=38', '90/45=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[98, 90, 45, 60], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [90, 45, 38]
Generated Node #0,0: 36:[90, 45, 38] Operation: 98-60=38
Exploring Operation: 98-90=8, Resulting Numbers: [45, 60, 8]
Generated Node #0,1: 36:[45, 60, 8] Operation: 98-90=8
Exploring Operation: 90-60=30, Resulting Numbers: [98, 45, 30]
Generated Node #0,2: 36:[98, 45, 30] Operation: 90-60=30
Exploring Operation: 90/45=2, Resulting Numbers: [98, 60, 2]
Generated Node #0,3: 36:[98, 60, 2] Operation: 90/45=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[45, 60, 8], Operations: ['98-90=8']
Exploring Operation: 45-8=37, Resulting Numbers: [60, 37]
Generated Node #0,1,0: 36:[60, 37] Operation: 45-8=37
Exploring Operation: 60-45=15, Resulting Numbers: [8, 15]
Generated Node #0,1,1: 36:[8, 15] Operation: 60-45=15
Exploring Operation: 60-8=52, Resulting Numbers: [45, 52]
Generated Node #0,1,2: 36:[45, 52] Operation: 60-8=52
Exploring Operation: 45+8=53, Resulting Numbers: [60, 53]
Generated Node #0,1,3: 36:[60, 53] Operation: 45+8=53
Moving to Node #0,1,1
Current State: 36:[8, 15], Operations: ['98-90=8', '60-45=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[45, 52], Operations: ['98-90=8', '60-8=52']
Exploring Operation: 52-45=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 45*52=2340, Resulting Numbers: [2340]
2340,36 unequal: No Solution
Exploring Operation: 45+52=97, Resulting Numbers: [97]
97,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[60, 37], Operations: ['98-90=8', '45-8=37']
Exploring Operation: 60*37=2220, Resulting Numbers: [2220]
2220,36 unequal: No Solution
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,36 unequal: No Solution
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[60, 53], Operations: ['98-90=8', '45+8=53']
Exploring Operation: 60*53=3180, Resulting Numbers: [3180]
3180,36 unequal: No Solution
Exploring Operation: 60-53=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 60+53=113, Resulting Numbers: [113]
113,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[90, 45, 38], Operations: ['98-60=38']
Exploring Operation: 90-45=45, Resulting Numbers: [38, 45]
Generated Node #0,0,0: 36:[38, 45] Operation: 90-45=45
Exploring Operation: 90/45=2, Resulting Numbers: [38, 2]
Generated Node #0,0,1: 36:[38, 2] Operation: 90/45=2
Exploring Operation: 90-38=52, Resulting Numbers: [45, 52]
Generated Node #0,0,2: 36:[45, 52] Operation: 90-38=52
Exploring Operation: 45-38=7, Resulting Numbers: [90, 7]
Generated Node #0,0,3: 36:[90, 7] Operation: 45-38=7
Moving to Node #0,0,1
Current State: 36:[38, 2], Operations: ['98-60=38', '90/45=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,36 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[98, 90, 45, 60], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [90, 45, 38]
Generated Node #0,0: 36:[90, 45, 38] Operation: 98-60=38
Moving to Node #0,0
Current State: 36:[90, 45, 38], Operations: ['98-60=38']
Exploring Operation: 90/45=2, Resulting Numbers: [38, 2]
Generated Node #0,0,1: 36:[38, 2] Operation: 90/45=2
Moving to Node #0,0,1
Current State: 36:[38, 2], Operations: ['98-60=38', '90/45=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
68,
9,
60,
47
] | 49 | [
"60-47=13",
"9*13=117",
"117-68=49"
] | Current State: 49:[68, 9, 60, 47], Operations: []
Exploring Operation: 60-47=13, Resulting Numbers: [68, 9, 13]
Generated Node #2: [68, 9, 13] from Operation: 60-47=13
Current State: 49:[68, 9, 13], Operations: ['60-47=13']
Exploring Operation: 9*13=117, Resulting Numbers: [68, 117]
Generated Node #3: [68, 117] from Operation: 9*13=117
Current State: 49:[68, 117], Operations: ['60-47=13', '9*13=117']
Exploring Operation: 117-68=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[68, 9, 60, 47], Operations: []
Exploring Operation: 60-9=51, Resulting Numbers: [68, 47, 51]
Generated Node #0,0: 49:[68, 47, 51] Operation: 60-9=51
Exploring Operation: 68-60=8, Resulting Numbers: [9, 47, 8]
Generated Node #0,1: 49:[9, 47, 8] Operation: 68-60=8
Exploring Operation: 68-9=59, Resulting Numbers: [60, 47, 59]
Generated Node #0,2: 49:[60, 47, 59] Operation: 68-9=59
Moving to Node #0,1
Current State: 49:[9, 47, 8], Operations: ['68-60=8']
Exploring Operation: 9-8=1, Resulting Numbers: [47, 1]
Generated Node #0,1,0: 49:[47, 1] Operation: 9-8=1
Exploring Operation: 47+8=55, Resulting Numbers: [9, 55]
Generated Node #0,1,1: 49:[9, 55] Operation: 47+8=55
Exploring Operation: 9+47=56, Resulting Numbers: [8, 56]
Generated Node #0,1,2: 49:[8, 56] Operation: 9+47=56
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[47, 1], Operations: ['68-60=8', '9-8=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[9, 55], Operations: ['68-60=8', '47+8=55']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 9+55=64, Resulting Numbers: [64]
64,49 unequal: No Solution
Exploring Operation: 9*55=495, Resulting Numbers: [495]
495,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 49:[8, 56], Operations: ['68-60=8', '9+47=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,49 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,49 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: 49:[68, 47, 51], Operations: ['60-9=51']
Exploring Operation: 68-51=17, Resulting Numbers: [47, 17]
Generated Node #0,0,0: 49:[47, 17] Operation: 68-51=17
Exploring Operation: 68-47=21, Resulting Numbers: [51, 21]
Generated Node #0,0,1: 49:[51, 21] Operation: 68-47=21
Exploring Operation: 51-47=4, Resulting Numbers: [68, 4]
Generated Node #0,0,2: 49:[68, 4] Operation: 51-47=4
Moving to Node #0,2
Current State: 49:[60, 47, 59], Operations: ['68-9=59']
Exploring Operation: 59-47=12, Resulting Numbers: [60, 12]
Generated Node #0,2,0: 49:[60, 12] Operation: 59-47=12
Exploring Operation: 60-47=13, Resulting Numbers: [59, 13]
Generated Node #0,2,1: 49:[59, 13] Operation: 60-47=13
Exploring Operation: 60-59=1, Resulting Numbers: [47, 1]
Generated Node #0,2,2: 49:[47, 1] Operation: 60-59=1
Moving to Node #0,2,2
Current State: 49:[47, 1], Operations: ['68-9=59', '60-59=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[47, 17], Operations: ['60-9=51', '68-51=17']
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,49 unequal: No Solution
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,49 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[59, 13], Operations: ['68-9=59', '60-47=13']
Exploring Operation: 59*13=767, Resulting Numbers: [767]
767,49 unequal: No Solution
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[60, 12], Operations: ['68-9=59', '59-47=12']
Exploring Operation: 60+12=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[51, 21], Operations: ['60-9=51', '68-47=21']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,49 unequal: No Solution
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,49 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[68, 4], Operations: ['60-9=51', '51-47=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,49 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,49 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
95,
90,
14,
79
] | 98 | [
"95-90=5",
"14+79=93",
"5+93=98"
] | Current State: 98:[95, 90, 14, 79], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [14, 79, 5]
Generated Node #2: [14, 79, 5] from Operation: 95-90=5
Current State: 98:[14, 79, 5], Operations: ['95-90=5']
Exploring Operation: 14+79=93, Resulting Numbers: [5, 93]
Generated Node #3: [5, 93] from Operation: 14+79=93
Current State: 98:[5, 93], Operations: ['95-90=5', '14+79=93']
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[95, 90, 14, 79], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [90, 14, 16]
Generated Node #0,0: 98:[90, 14, 16] Operation: 95-79=16
Exploring Operation: 14+79=93, Resulting Numbers: [95, 90, 93]
Generated Node #0,1: 98:[95, 90, 93] Operation: 14+79=93
Exploring Operation: 90-79=11, Resulting Numbers: [95, 14, 11]
Generated Node #0,2: 98:[95, 14, 11] Operation: 90-79=11
Moving to Node #0,2
Current State: 98:[95, 14, 11], Operations: ['90-79=11']
Exploring Operation: 14-11=3, Resulting Numbers: [95, 3]
Generated Node #0,2,0: 98:[95, 3] Operation: 14-11=3
Exploring Operation: 95+11=106, Resulting Numbers: [14, 106]
Generated Node #0,2,1: 98:[14, 106] Operation: 95+11=106
Exploring Operation: 95+14=109, Resulting Numbers: [11, 109]
Generated Node #0,2,2: 98:[11, 109] Operation: 95+14=109
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 98:[95, 3], Operations: ['90-79=11', '14-11=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[95, 90, 14, 79], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [95, 14, 11]
Generated Node #0,2: 98:[95, 14, 11] Operation: 90-79=11
Moving to Node #0,2
Current State: 98:[95, 14, 11], Operations: ['90-79=11']
Exploring Operation: 14-11=3, Resulting Numbers: [95, 3]
Generated Node #0,2,0: 98:[95, 3] Operation: 14-11=3
Moving to Node #0,2,0
Current State: 98:[95, 3], Operations: ['90-79=11', '14-11=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
36,
6,
12,
50
] | 42 | [
"36+12=48",
"48/6=8",
"50-8=42"
] | Current State: 42:[36, 6, 12, 50], Operations: []
Exploring Operation: 36+12=48, Resulting Numbers: [6, 50, 48]
Generated Node #2: [6, 50, 48] from Operation: 36+12=48
Current State: 42:[6, 50, 48], Operations: ['36+12=48']
Exploring Operation: 48/6=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 48/6=8
Current State: 42:[50, 8], Operations: ['36+12=48', '48/6=8']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[36, 6, 12, 50], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [6, 12, 14]
Generated Node #0,0: 42:[6, 12, 14] Operation: 50-36=14
Moving to Node #0,0
Current State: 42:[6, 12, 14], Operations: ['50-36=14']
Exploring Operation: 12-6=6, Resulting Numbers: [14, 6]
Generated Node #0,0,0: 42:[14, 6] Operation: 12-6=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[14, 6], Operations: ['50-36=14', '12-6=6']
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
35,
42,
72
] | 25 | [
"72-42=30",
"30/3=10",
"35-10=25"
] | Current State: 25:[3, 35, 42, 72], Operations: []
Exploring Operation: 72-42=30, Resulting Numbers: [3, 35, 30]
Generated Node #2: [3, 35, 30] from Operation: 72-42=30
Current State: 25:[3, 35, 30], Operations: ['72-42=30']
Exploring Operation: 30/3=10, Resulting Numbers: [35, 10]
Generated Node #3: [35, 10] from Operation: 30/3=10
Current State: 25:[35, 10], Operations: ['72-42=30', '30/3=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[3, 35, 42, 72], Operations: []
Exploring Operation: 72-35=37, Resulting Numbers: [3, 42, 37]
Generated Node #0,0: 25:[3, 42, 37] Operation: 72-35=37
Exploring Operation: 72/3=24, Resulting Numbers: [35, 42, 24]
Generated Node #0,1: 25:[35, 42, 24] Operation: 72/3=24
Exploring Operation: 72-42=30, Resulting Numbers: [3, 35, 30]
Generated Node #0,2: 25:[3, 35, 30] Operation: 72-42=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[3, 35, 30], Operations: ['72-42=30']
Exploring Operation: 35-30=5, Resulting Numbers: [3, 5]
Generated Node #0,2,0: 25:[3, 5] Operation: 35-30=5
Exploring Operation: 30-3=27, Resulting Numbers: [35, 27]
Generated Node #0,2,1: 25:[35, 27] Operation: 30-3=27
Exploring Operation: 35-3=32, Resulting Numbers: [30, 32]
Generated Node #0,2,2: 25:[30, 32] Operation: 35-3=32
Moving to Node #0,2,0
Current State: 25:[3, 5], Operations: ['72-42=30', '35-30=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[35, 27], Operations: ['72-42=30', '30-3=27']
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 35*27=945, Resulting Numbers: [945]
945,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[30, 32], Operations: ['72-42=30', '35-3=32']
Exploring Operation: 30+32=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 30*32=960, Resulting Numbers: [960]
960,25 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:[35, 42, 24], Operations: ['72/3=24']
Exploring Operation: 42-35=7, Resulting Numbers: [24, 7]
Generated Node #0,1,0: 25:[24, 7] Operation: 42-35=7
Exploring Operation: 35-24=11, Resulting Numbers: [42, 11]
Generated Node #0,1,1: 25:[42, 11] Operation: 35-24=11
Exploring Operation: 42-24=18, Resulting Numbers: [35, 18]
Generated Node #0,1,2: 25:[35, 18] Operation: 42-24=18
Moving to Node #0,1,0
Current State: 25:[24, 7], Operations: ['72/3=24', '42-35=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[35, 18], Operations: ['72/3=24', '42-24=18']
Exploring Operation: 35*18=630, Resulting Numbers: [630]
630,25 unequal: No Solution
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[42, 11], Operations: ['72/3=24', '35-24=11']
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
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,25 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 #0,0
Current State: 25:[3, 42, 37], Operations: ['72-35=37']
Exploring Operation: 42-37=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 25:[3, 5] Operation: 42-37=5
Exploring Operation: 42/3=14, Resulting Numbers: [37, 14]
Generated Node #0,0,1: 25:[37, 14] Operation: 42/3=14
Exploring Operation: 42-3=39, Resulting Numbers: [37, 39]
Generated Node #0,0,2: 25:[37, 39] Operation: 42-3=39
Moving to Node #0,0,0
Current State: 25:[3, 5], Operations: ['72-35=37', '42-37=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[37, 14], Operations: ['72-35=37', '42/3=14']
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,25 unequal: No Solution
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[37, 39], Operations: ['72-35=37', '42-3=39']
Exploring Operation: 37*39=1443, Resulting Numbers: [1443]
1443,25 unequal: No Solution
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 37+39=76, Resulting Numbers: [76]
76,25 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 |
[
40,
73,
3,
27
] | 83 | [
"40+73=113",
"3+27=30",
"113-30=83"
] | Current State: 83:[40, 73, 3, 27], Operations: []
Exploring Operation: 40+73=113, Resulting Numbers: [3, 27, 113]
Generated Node #2: [3, 27, 113] from Operation: 40+73=113
Current State: 83:[3, 27, 113], Operations: ['40+73=113']
Exploring Operation: 3+27=30, Resulting Numbers: [113, 30]
Generated Node #3: [113, 30] from Operation: 3+27=30
Current State: 83:[113, 30], Operations: ['40+73=113', '3+27=30']
Exploring Operation: 113-30=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[40, 73, 3, 27], Operations: []
Exploring Operation: 73+3=76, Resulting Numbers: [40, 27, 76]
Generated Node #0,0: 83:[40, 27, 76] Operation: 73+3=76
Exploring Operation: 3*27=81, Resulting Numbers: [40, 73, 81]
Generated Node #0,1: 83:[40, 73, 81] Operation: 3*27=81
Exploring Operation: 40*3=120, Resulting Numbers: [73, 27, 120]
Generated Node #0,2: 83:[73, 27, 120] Operation: 40*3=120
Exploring Operation: 40+27=67, Resulting Numbers: [73, 3, 67]
Generated Node #0,3: 83:[73, 3, 67] Operation: 40+27=67
Exploring Operation: 40+3=43, Resulting Numbers: [73, 27, 43]
Generated Node #0,4: 83:[73, 27, 43] Operation: 40+3=43
Moving to Node #0,1
Current State: 83:[40, 73, 81], Operations: ['3*27=81']
Exploring Operation: 40+73=113, Resulting Numbers: [81, 113]
Generated Node #0,1,0: 83:[81, 113] Operation: 40+73=113
Exploring Operation: 73+81=154, Resulting Numbers: [40, 154]
Generated Node #0,1,1: 83:[40, 154] Operation: 73+81=154
Exploring Operation: 81-40=41, Resulting Numbers: [73, 41]
Generated Node #0,1,2: 83:[73, 41] Operation: 81-40=41
Exploring Operation: 40+81=121, Resulting Numbers: [73, 121]
Generated Node #0,1,3: 83:[73, 121] Operation: 40+81=121
Exploring Operation: 73-40=33, Resulting Numbers: [81, 33]
Generated Node #0,1,4: 83:[81, 33] Operation: 73-40=33
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[81, 113], Operations: ['3*27=81', '40+73=113']
Exploring Operation: 81+113=194, Resulting Numbers: [194]
194,83 unequal: No Solution
Exploring Operation: 81*113=9153, Resulting Numbers: [9153]
9153,83 unequal: No Solution
Exploring Operation: 113-81=32, Resulting Numbers: [32]
32,83 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 #0,1,3
Current State: 83:[73, 121], Operations: ['3*27=81', '40+81=121']
Exploring Operation: 121-73=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 73*121=8833, Resulting Numbers: [8833]
8833,83 unequal: No Solution
Exploring Operation: 73+121=194, Resulting Numbers: [194]
194,83 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:[73, 41], Operations: ['3*27=81', '81-40=41']
Exploring Operation: 73-41=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Exploring Operation: 73+41=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 73*41=2993, Resulting Numbers: [2993]
2993,83 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 #0,1,4
Current State: 83:[81, 33], Operations: ['3*27=81', '73-40=33']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,83 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:[40, 154], Operations: ['3*27=81', '73+81=154']
Exploring Operation: 154-40=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 40+154=194, Resulting Numbers: [194]
194,83 unequal: No Solution
Exploring Operation: 40*154=6160, Resulting Numbers: [6160]
6160,83 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:[73, 27, 120], Operations: ['40*3=120']
Exploring Operation: 73+27=100, Resulting Numbers: [120, 100]
Generated Node #0,2,0: 83:[120, 100] Operation: 73+27=100
Exploring Operation: 120-27=93, Resulting Numbers: [73, 93]
Generated Node #0,2,1: 83:[73, 93] Operation: 120-27=93
Exploring Operation: 27+120=147, Resulting Numbers: [73, 147]
Generated Node #0,2,2: 83:[73, 147] Operation: 27+120=147
Exploring Operation: 120-73=47, Resulting Numbers: [27, 47]
Generated Node #0,2,3: 83:[27, 47] Operation: 120-73=47
Exploring Operation: 73-27=46, Resulting Numbers: [120, 46]
Generated Node #0,2,4: 83:[120, 46] Operation: 73-27=46
Moving to Node #0,0
Current State: 83:[40, 27, 76], Operations: ['73+3=76']
Exploring Operation: 40-27=13, Resulting Numbers: [76, 13]
Generated Node #0,0,0: 83:[76, 13] Operation: 40-27=13
Exploring Operation: 76-27=49, Resulting Numbers: [40, 49]
Generated Node #0,0,1: 83:[40, 49] Operation: 76-27=49
Exploring Operation: 27+76=103, Resulting Numbers: [40, 103]
Generated Node #0,0,2: 83:[40, 103] Operation: 27+76=103
Exploring Operation: 40+27=67, Resulting Numbers: [76, 67]
Generated Node #0,0,3: 83:[76, 67] Operation: 40+27=67
Exploring Operation: 40+76=116, Resulting Numbers: [27, 116]
Generated Node #0,0,4: 83:[27, 116] Operation: 40+76=116
Moving to Node #0,3
Current State: 83:[73, 3, 67], Operations: ['40+27=67']
Exploring Operation: 73-3=70, Resulting Numbers: [67, 70]
Generated Node #0,3,0: 83:[67, 70] Operation: 73-3=70
Exploring Operation: 3*67=201, Resulting Numbers: [73, 201]
Generated Node #0,3,1: 83:[73, 201] Operation: 3*67=201
Exploring Operation: 73+3=76, Resulting Numbers: [67, 76]
Generated Node #0,3,2: 83:[67, 76] Operation: 73+3=76
Exploring Operation: 3+67=70, Resulting Numbers: [73, 70]
Generated Node #0,3,3: 83:[73, 70] Operation: 3+67=70
Exploring Operation: 67-3=64, Resulting Numbers: [73, 64]
Generated Node #0,3,4: 83:[73, 64] Operation: 67-3=64
Moving to Node #0,4
Current State: 83:[73, 27, 43], Operations: ['40+3=43']
Exploring Operation: 73+27=100, Resulting Numbers: [43, 100]
Generated Node #0,4,0: 83:[43, 100] Operation: 73+27=100
Exploring Operation: 73+43=116, Resulting Numbers: [27, 116]
Generated Node #0,4,1: 83:[27, 116] Operation: 73+43=116
Exploring Operation: 43-27=16, Resulting Numbers: [73, 16]
Generated Node #0,4,2: 83:[73, 16] Operation: 43-27=16
Exploring Operation: 73-27=46, Resulting Numbers: [43, 46]
Generated Node #0,4,3: 83:[43, 46] Operation: 73-27=46
Exploring Operation: 27+43=70, Resulting Numbers: [73, 70]
Generated Node #0,4,4: 83:[73, 70] Operation: 27+43=70
Moving to Node #0,2,1
Current State: 83:[73, 93], Operations: ['40*3=120', '120-27=93']
Exploring Operation: 73+93=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 73*93=6789, Resulting Numbers: [6789]
6789,83 unequal: No Solution
Exploring Operation: 93-73=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[76, 67], Operations: ['73+3=76', '40+27=67']
Exploring Operation: 76*67=5092, Resulting Numbers: [5092]
5092,83 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 76+67=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[73, 70], Operations: ['40+27=67', '3+67=70']
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 73+70=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 73*70=5110, Resulting Numbers: [5110]
5110,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[67, 76], Operations: ['40+27=67', '73+3=76']
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[73, 70], Operations: ['40+3=43', '27+43=70']
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 73*70=5110, Resulting Numbers: [5110]
5110,83 unequal: No Solution
Exploring Operation: 73+70=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[73, 64], Operations: ['40+27=67', '67-3=64']
Exploring Operation: 73*64=4672, Resulting Numbers: [4672]
4672,83 unequal: No Solution
Exploring Operation: 73-64=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 73+64=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[67, 70], Operations: ['40+27=67', '73-3=70']
Exploring Operation: 67*70=4690, Resulting Numbers: [4690]
4690,83 unequal: No Solution
Exploring Operation: 67+70=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 70-67=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[120, 100], Operations: ['40*3=120', '73+27=100']
Exploring Operation: 120*100=12000, Resulting Numbers: [12000]
12000,83 unequal: No Solution
Exploring Operation: 120-100=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Exploring Operation: 120+100=220, Resulting Numbers: [220]
220,83 unequal: No Solution
Moving to Node #0,4,0
Current State: 83:[43, 100], Operations: ['40+3=43', '73+27=100']
Exploring Operation: 43+100=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 43*100=4300, Resulting Numbers: [4300]
4300,83 unequal: No Solution
Exploring Operation: 100-43=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[40, 103], Operations: ['73+3=76', '27+76=103']
Exploring Operation: 103-40=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 40+103=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 40*103=4120, Resulting Numbers: [4120]
4120,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[73, 147], Operations: ['40*3=120', '27+120=147']
Exploring Operation: 73+147=220, Resulting Numbers: [220]
220,83 unequal: No Solution
Exploring Operation: 73*147=10731, Resulting Numbers: [10731]
10731,83 unequal: No Solution
Exploring Operation: 147-73=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[120, 46], Operations: ['40*3=120', '73-27=46']
Exploring Operation: 120*46=5520, Resulting Numbers: [5520]
5520,83 unequal: No Solution
Exploring Operation: 120-46=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 120+46=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Moving to Node #0,4,3
Current State: 83:[43, 46], Operations: ['40+3=43', '73-27=46']
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 43*46=1978, Resulting Numbers: [1978]
1978,83 unequal: No Solution
Exploring Operation: 43+46=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[76, 13], Operations: ['73+3=76', '40-27=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 76*13=988, Resulting Numbers: [988]
988,83 unequal: No Solution
Moving to Node #0,4,2
Current State: 83:[73, 16], Operations: ['40+3=43', '43-27=16']
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 73*16=1168, Resulting Numbers: [1168]
1168,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[40, 49], Operations: ['73+3=76', '76-27=49']
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 40*49=1960, Resulting Numbers: [1960]
1960,83 unequal: No Solution
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Moving to Node #0,0,4
Current State: 83:[27, 116], Operations: ['73+3=76', '40+76=116']
Exploring Operation: 27+116=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 27*116=3132, Resulting Numbers: [3132]
3132,83 unequal: No Solution
Exploring Operation: 116-27=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[27, 116], Operations: ['40+3=43', '73+43=116']
Exploring Operation: 27+116=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 116-27=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 27*116=3132, Resulting Numbers: [3132]
3132,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[27, 47], Operations: ['40*3=120', '120-73=47']
Exploring Operation: 27*47=1269, Resulting Numbers: [1269]
1269,83 unequal: No Solution
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[73, 201], Operations: ['40+27=67', '3*67=201']
Exploring Operation: 201-73=128, Resulting Numbers: [128]
128,83 unequal: No Solution
Exploring Operation: 73+201=274, Resulting Numbers: [274]
274,83 unequal: No Solution
Exploring Operation: 73*201=14673, Resulting Numbers: [14673]
14673,83 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
4,
14,
62,
48
] | 18 | [
"14*62=868",
"868-4=864",
"864/48=18"
] | Current State: 18:[4, 14, 62, 48], Operations: []
Exploring Operation: 14*62=868, Resulting Numbers: [4, 48, 868]
Generated Node #2: [4, 48, 868] from Operation: 14*62=868
Current State: 18:[4, 48, 868], Operations: ['14*62=868']
Exploring Operation: 868-4=864, Resulting Numbers: [48, 864]
Generated Node #3: [48, 864] from Operation: 868-4=864
Current State: 18:[48, 864], Operations: ['14*62=868', '868-4=864']
Exploring Operation: 864/48=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[4, 14, 62, 48], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [4, 14, 14]
Generated Node #0,0: 18:[4, 14, 14] Operation: 62-48=14
Exploring Operation: 48/4=12, Resulting Numbers: [14, 62, 12]
Generated Node #0,1: 18:[14, 62, 12] Operation: 48/4=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[4, 14, 14], Operations: ['62-48=14']
Exploring Operation: 14-14=0, Resulting Numbers: [4, 0]
Generated Node #0,0,0: 18:[4, 0] Operation: 14-14=0
Exploring Operation: 14/14=1, Resulting Numbers: [4, 1]
Generated Node #0,0,1: 18:[4, 1] Operation: 14/14=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[4, 1], Operations: ['62-48=14', '14/14=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,18 unequal: No Solution
No 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: 18:[4, 0], Operations: ['62-48=14', '14-14=0']
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,18 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: 18:[14, 62, 12], Operations: ['48/4=12']
Exploring Operation: 62-12=50, Resulting Numbers: [14, 50]
Generated Node #0,1,0: 18:[14, 50] Operation: 62-12=50
Exploring Operation: 62-14=48, Resulting Numbers: [12, 48]
Generated Node #0,1,1: 18:[12, 48] Operation: 62-14=48
Moving to Node #0,1,1
Current State: 18:[12, 48], Operations: ['48/4=12', '62-14=48']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,18 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[14, 50], Operations: ['48/4=12', '62-12=50']
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,18 unequal: No Solution
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,18 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 |
[
8,
74,
10,
88
] | 63 | [
"8*88=704",
"704-74=630",
"630/10=63"
] | Current State: 63:[8, 74, 10, 88], Operations: []
Exploring Operation: 8*88=704, Resulting Numbers: [74, 10, 704]
Generated Node #2: [74, 10, 704] from Operation: 8*88=704
Current State: 63:[74, 10, 704], Operations: ['8*88=704']
Exploring Operation: 704-74=630, Resulting Numbers: [10, 630]
Generated Node #3: [10, 630] from Operation: 704-74=630
Current State: 63:[10, 630], Operations: ['8*88=704', '704-74=630']
Exploring Operation: 630/10=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[8, 74, 10, 88], Operations: []
Exploring Operation: 88-74=14, Resulting Numbers: [8, 10, 14]
Generated Node #0,0: 63:[8, 10, 14] Operation: 88-74=14
Moving to Node #0,0
Current State: 63:[8, 10, 14], Operations: ['88-74=14']
Exploring Operation: 8+14=22, Resulting Numbers: [10, 22]
Generated Node #0,0,0: 63:[10, 22] Operation: 8+14=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[10, 22], Operations: ['88-74=14', '8+14=22']
Exploring Operation: 22-10=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 | sum_heuristic |
[
60,
6,
19,
77
] | 76 | [
"19+77=96",
"96/6=16",
"60+16=76"
] | Current State: 76:[60, 6, 19, 77], Operations: []
Exploring Operation: 19+77=96, Resulting Numbers: [60, 6, 96]
Generated Node #2: [60, 6, 96] from Operation: 19+77=96
Current State: 76:[60, 6, 96], Operations: ['19+77=96']
Exploring Operation: 96/6=16, Resulting Numbers: [60, 16]
Generated Node #3: [60, 16] from Operation: 96/6=16
Current State: 76:[60, 16], Operations: ['19+77=96', '96/6=16']
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[60, 6, 19, 77], Operations: []
Exploring Operation: 77-60=17, Resulting Numbers: [6, 19, 17]
Generated Node #0,0: 76:[6, 19, 17] Operation: 77-60=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[6, 19, 17], Operations: ['77-60=17']
Exploring Operation: 19-17=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 76:[6, 2] Operation: 19-17=2
Moving to Node #0,0,0
Current State: 76:[6, 2], Operations: ['77-60=17', '19-17=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,76 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 |
[
31,
86,
79,
21
] | 59 | [
"31+86=117",
"79-21=58",
"117-58=59"
] | Current State: 59:[31, 86, 79, 21], Operations: []
Exploring Operation: 31+86=117, Resulting Numbers: [79, 21, 117]
Generated Node #2: [79, 21, 117] from Operation: 31+86=117
Current State: 59:[79, 21, 117], Operations: ['31+86=117']
Exploring Operation: 79-21=58, Resulting Numbers: [117, 58]
Generated Node #3: [117, 58] from Operation: 79-21=58
Current State: 59:[117, 58], Operations: ['31+86=117', '79-21=58']
Exploring Operation: 117-58=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[31, 86, 79, 21], Operations: []
Exploring Operation: 31+21=52, Resulting Numbers: [86, 79, 52]
Generated Node #0,0: 59:[86, 79, 52] Operation: 31+21=52
Exploring Operation: 86-21=65, Resulting Numbers: [31, 79, 65]
Generated Node #0,1: 59:[31, 79, 65] Operation: 86-21=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[86, 79, 52], Operations: ['31+21=52']
Exploring Operation: 86-52=34, Resulting Numbers: [79, 34]
Generated Node #0,0,0: 59:[79, 34] Operation: 86-52=34
Exploring Operation: 86-79=7, Resulting Numbers: [52, 7]
Generated Node #0,0,1: 59:[52, 7] Operation: 86-79=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[79, 34], Operations: ['31+21=52', '86-52=34']
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,59 unequal: No Solution
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,59 unequal: No Solution
No 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: 59:[52, 7], Operations: ['31+21=52', '86-79=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[31, 86, 79, 21], Operations: []
Exploring Operation: 31+21=52, Resulting Numbers: [86, 79, 52]
Generated Node #0,0: 59:[86, 79, 52] Operation: 31+21=52
Moving to Node #0,0
Current State: 59:[86, 79, 52], Operations: ['31+21=52']
Exploring Operation: 86-79=7, Resulting Numbers: [52, 7]
Generated Node #0,0,1: 59:[52, 7] Operation: 86-79=7
Moving to Node #0,0,1
Current State: 59:[52, 7], Operations: ['31+21=52', '86-79=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
46,
2,
50,
65
] | 62 | [
"46+50=96",
"96-65=31",
"2*31=62"
] | Current State: 62:[46, 2, 50, 65], Operations: []
Exploring Operation: 46+50=96, Resulting Numbers: [2, 65, 96]
Generated Node #2: [2, 65, 96] from Operation: 46+50=96
Current State: 62:[2, 65, 96], Operations: ['46+50=96']
Exploring Operation: 96-65=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 96-65=31
Current State: 62:[2, 31], Operations: ['46+50=96', '96-65=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[46, 2, 50, 65], Operations: []
Exploring Operation: 65-46=19, Resulting Numbers: [2, 50, 19]
Generated Node #0,0: 62:[2, 50, 19] Operation: 65-46=19
Exploring Operation: 50/2=25, Resulting Numbers: [46, 65, 25]
Generated Node #0,1: 62:[46, 65, 25] Operation: 50/2=25
Exploring Operation: 46/2=23, Resulting Numbers: [50, 65, 23]
Generated Node #0,2: 62:[50, 65, 23] Operation: 46/2=23
Exploring Operation: 50-46=4, Resulting Numbers: [2, 65, 4]
Generated Node #0,3: 62:[2, 65, 4] Operation: 50-46=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[2, 65, 4], Operations: ['50-46=4']
Exploring Operation: 4/2=2, Resulting Numbers: [65, 2]
Generated Node #0,3,0: 62:[65, 2] Operation: 4/2=2
Exploring Operation: 65-4=61, Resulting Numbers: [2, 61]
Generated Node #0,3,1: 62:[2, 61] Operation: 65-4=61
Exploring Operation: 65-2=63, Resulting Numbers: [4, 63]
Generated Node #0,3,2: 62:[4, 63] Operation: 65-2=63
Exploring Operation: 4-2=2, Resulting Numbers: [65, 2]
Generated Node #0,3,3: 62:[65, 2] Operation: 4-2=2
Moving to Node #0,3,1
Current State: 62:[2, 61], Operations: ['50-46=4', '65-4=61']
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,62 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,62 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Moving to Node #0,3,2
Current State: 62:[4, 63], Operations: ['50-46=4', '65-2=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,62 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,62 unequal: No Solution
Moving to Node #0,3,0
Current State: 62:[65, 2], Operations: ['50-46=4', '4/2=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[65, 2], Operations: ['50-46=4', '4-2=2']
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,62 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[50, 65, 23], Operations: ['46/2=23']
Exploring Operation: 50-23=27, Resulting Numbers: [65, 27]
Generated Node #0,2,0: 62:[65, 27] Operation: 50-23=27
Exploring Operation: 50+23=73, Resulting Numbers: [65, 73]
Generated Node #0,2,1: 62:[65, 73] Operation: 50+23=73
Exploring Operation: 65-50=15, Resulting Numbers: [23, 15]
Generated Node #0,2,2: 62:[23, 15] Operation: 65-50=15
Exploring Operation: 65-23=42, Resulting Numbers: [50, 42]
Generated Node #0,2,3: 62:[50, 42] Operation: 65-23=42
Moving to Node #0,2,0
Current State: 62:[65, 27], Operations: ['46/2=23', '50-23=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 65+27=92, Resulting Numbers: [92]
92,62 unequal: No Solution
Exploring Operation: 65*27=1755, Resulting Numbers: [1755]
1755,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[65, 73], Operations: ['46/2=23', '50+23=73']
Exploring Operation: 65+73=138, Resulting Numbers: [138]
138,62 unequal: No Solution
Exploring Operation: 65*73=4745, Resulting Numbers: [4745]
4745,62 unequal: No Solution
Exploring Operation: 73-65=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[23, 15], Operations: ['46/2=23', '65-50=15']
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,62 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[50, 42], Operations: ['46/2=23', '65-23=42']
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,62 unequal: No Solution
Exploring Operation: 50*42=2100, Resulting Numbers: [2100]
2100,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[2, 50, 19], Operations: ['65-46=19']
Exploring Operation: 50/2=25, Resulting Numbers: [19, 25]
Generated Node #0,0,0: 62:[19, 25] Operation: 50/2=25
Exploring Operation: 50+19=69, Resulting Numbers: [2, 69]
Generated Node #0,0,1: 62:[2, 69] Operation: 50+19=69
Exploring Operation: 50-19=31, Resulting Numbers: [2, 31]
Generated Node #0,0,2: 62:[2, 31] Operation: 50-19=31
Exploring Operation: 2*19=38, Resulting Numbers: [50, 38]
Generated Node #0,0,3: 62:[50, 38] Operation: 2*19=38
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[2, 31], Operations: ['65-46=19', '50-19=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[46, 2, 50, 65], Operations: []
Exploring Operation: 65-46=19, Resulting Numbers: [2, 50, 19]
Generated Node #0,0: 62:[2, 50, 19] Operation: 65-46=19
Moving to Node #0,0
Current State: 62:[2, 50, 19], Operations: ['65-46=19']
Exploring Operation: 50-19=31, Resulting Numbers: [2, 31]
Generated Node #0,0,2: 62:[2, 31] Operation: 50-19=31
Moving to Node #0,0,2
Current State: 62:[2, 31], Operations: ['65-46=19', '50-19=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.960938 | hs_4 | sum_heuristic |
[
25,
47,
24,
93
] | 96 | [
"25+47=72",
"72/24=3",
"93+3=96"
] | Current State: 96:[25, 47, 24, 93], Operations: []
Exploring Operation: 25+47=72, Resulting Numbers: [24, 93, 72]
Generated Node #2: [24, 93, 72] from Operation: 25+47=72
Current State: 96:[24, 93, 72], Operations: ['25+47=72']
Exploring Operation: 72/24=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 72/24=3
Current State: 96:[93, 3], Operations: ['25+47=72', '72/24=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[25, 47, 24, 93], Operations: []
Exploring Operation: 25+24=49, Resulting Numbers: [47, 93, 49]
Generated Node #0,0: 96:[47, 93, 49] Operation: 25+24=49
Exploring Operation: 93-47=46, Resulting Numbers: [25, 24, 46]
Generated Node #0,1: 96:[25, 24, 46] Operation: 93-47=46
Exploring Operation: 47-25=22, Resulting Numbers: [24, 93, 22]
Generated Node #0,2: 96:[24, 93, 22] Operation: 47-25=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[25, 24, 46], Operations: ['93-47=46']
Exploring Operation: 25+24=49, Resulting Numbers: [46, 49]
Generated Node #0,1,0: 96:[46, 49] Operation: 25+24=49
Exploring Operation: 46-25=21, Resulting Numbers: [24, 21]
Generated Node #0,1,1: 96:[24, 21] Operation: 46-25=21
Exploring Operation: 25-24=1, Resulting Numbers: [46, 1]
Generated Node #0,1,2: 96:[46, 1] Operation: 25-24=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[46, 49], Operations: ['93-47=46', '25+24=49']
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 46*49=2254, Resulting Numbers: [2254]
2254,96 unequal: No Solution
Exploring Operation: 46+49=95, Resulting Numbers: [95]
95,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[24, 21], Operations: ['93-47=46', '46-25=21']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,96 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[46, 1], Operations: ['93-47=46', '25-24=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[47, 93, 49], Operations: ['25+24=49']
Exploring Operation: 47+49=96, Resulting Numbers: [93, 96]
Generated Node #0,0,0: 96:[93, 96] Operation: 47+49=96
Exploring Operation: 49-47=2, Resulting Numbers: [93, 2]
Generated Node #0,0,1: 96:[93, 2] Operation: 49-47=2
Exploring Operation: 93-47=46, Resulting Numbers: [49, 46]
Generated Node #0,0,2: 96:[49, 46] Operation: 93-47=46
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[93, 96], Operations: ['25+24=49', '47+49=96']
Exploring Operation: 93*96=8928, Resulting Numbers: [8928]
8928,96 unequal: No Solution
Exploring Operation: 93+96=189, Resulting Numbers: [189]
189,96 unequal: No Solution
Exploring Operation: 96-93=3, Resulting Numbers: [3]
3,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[93, 2], Operations: ['25+24=49', '49-47=2']
Exploring Operation: 93*2=186, Resulting Numbers: [186]
186,96 unequal: No Solution
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,96 unequal: No Solution
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 96:[49, 46], Operations: ['25+24=49', '93-47=46']
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,96 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[24, 93, 22], Operations: ['47-25=22']
Exploring Operation: 24+22=46, Resulting Numbers: [93, 46]
Generated Node #0,2,0: 96:[93, 46] Operation: 24+22=46
Exploring Operation: 93+22=115, Resulting Numbers: [24, 115]
Generated Node #0,2,1: 96:[24, 115] Operation: 93+22=115
Exploring Operation: 24-22=2, Resulting Numbers: [93, 2]
Generated Node #0,2,2: 96:[93, 2] Operation: 24-22=2
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 96:[93, 2], Operations: ['47-25=22', '24-22=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,96 unequal: No Solution
Exploring Operation: 93*2=186, Resulting Numbers: [186]
186,96 unequal: No Solution
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[93, 46], Operations: ['47-25=22', '24+22=46']
Exploring Operation: 93-46=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 93*46=4278, Resulting Numbers: [4278]
4278,96 unequal: No Solution
Exploring Operation: 93+46=139, Resulting Numbers: [139]
139,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 96:[24, 115], Operations: ['47-25=22', '93+22=115']
Exploring Operation: 24+115=139, Resulting Numbers: [139]
139,96 unequal: No Solution
Exploring Operation: 115-24=91, Resulting Numbers: [91]
91,96 unequal: No Solution
Exploring Operation: 24*115=2760, Resulting Numbers: [2760]
2760,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
1,
71,
94
] | 18 | [
"5*1=5",
"94-71=23",
"23-5=18"
] | Current State: 18:[5, 1, 71, 94], Operations: []
Exploring Operation: 5*1=5, Resulting Numbers: [71, 94, 5]
Generated Node #2: [71, 94, 5] from Operation: 5*1=5
Current State: 18:[71, 94, 5], Operations: ['5*1=5']
Exploring Operation: 94-71=23, Resulting Numbers: [5, 23]
Generated Node #3: [5, 23] from Operation: 94-71=23
Current State: 18:[5, 23], Operations: ['5*1=5', '94-71=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[5, 1, 71, 94], Operations: []
Exploring Operation: 94-71=23, Resulting Numbers: [5, 1, 23]
Generated Node #0,0: 18:[5, 1, 23] Operation: 94-71=23
Exploring Operation: 71-5=66, Resulting Numbers: [1, 94, 66]
Generated Node #0,1: 18:[1, 94, 66] Operation: 71-5=66
Exploring Operation: 94-5=89, Resulting Numbers: [1, 71, 89]
Generated Node #0,2: 18:[1, 71, 89] Operation: 94-5=89
Exploring Operation: 5+1=6, Resulting Numbers: [71, 94, 6]
Generated Node #0,3: 18:[71, 94, 6] Operation: 5+1=6
Moving to Node #0,0
Current State: 18:[5, 1, 23], Operations: ['94-71=23']
Exploring Operation: 5+1=6, Resulting Numbers: [23, 6]
Generated Node #0,0,0: 18:[23, 6] Operation: 5+1=6
Exploring Operation: 23-1=22, Resulting Numbers: [5, 22]
Generated Node #0,0,1: 18:[5, 22] Operation: 23-1=22
Exploring Operation: 5*1=5, Resulting Numbers: [23, 5]
Generated Node #0,0,2: 18:[23, 5] Operation: 5*1=5
Exploring Operation: 23-5=18, Resulting Numbers: [1, 18]
Generated Node #0,0,3: 18:[1, 18] Operation: 23-5=18
Moving to Node #0,2
Current State: 18:[1, 71, 89], Operations: ['94-5=89']
Exploring Operation: 89-71=18, Resulting Numbers: [1, 18]
Generated Node #0,2,0: 18:[1, 18] Operation: 89-71=18
Exploring Operation: 89-1=88, Resulting Numbers: [71, 88]
Generated Node #0,2,1: 18:[71, 88] Operation: 89-1=88
Exploring Operation: 1*71=71, Resulting Numbers: [89, 71]
Generated Node #0,2,2: 18:[89, 71] Operation: 1*71=71
Exploring Operation: 71-1=70, Resulting Numbers: [89, 70]
Generated Node #0,2,3: 18:[89, 70] Operation: 71-1=70
Moving to Node #0,1
Current State: 18:[1, 94, 66], Operations: ['71-5=66']
Exploring Operation: 94-66=28, Resulting Numbers: [1, 28]
Generated Node #0,1,0: 18:[1, 28] Operation: 94-66=28
Exploring Operation: 1*94=94, Resulting Numbers: [66, 94]
Generated Node #0,1,1: 18:[66, 94] Operation: 1*94=94
Exploring Operation: 94-1=93, Resulting Numbers: [66, 93]
Generated Node #0,1,2: 18:[66, 93] Operation: 94-1=93
Exploring Operation: 66-1=65, Resulting Numbers: [94, 65]
Generated Node #0,1,3: 18:[94, 65] Operation: 66-1=65
Moving to Node #0,3
Current State: 18:[71, 94, 6], Operations: ['5+1=6']
Exploring Operation: 71-6=65, Resulting Numbers: [94, 65]
Generated Node #0,3,0: 18:[94, 65] Operation: 71-6=65
Exploring Operation: 94-6=88, Resulting Numbers: [71, 88]
Generated Node #0,3,1: 18:[71, 88] Operation: 94-6=88
Exploring Operation: 71+6=77, Resulting Numbers: [94, 77]
Generated Node #0,3,2: 18:[94, 77] Operation: 71+6=77
Exploring Operation: 94-71=23, Resulting Numbers: [6, 23]
Generated Node #0,3,3: 18:[6, 23] Operation: 94-71=23
Moving to Node #0,0,3
Current State: 18:[1, 18], Operations: ['94-71=23', '23-5=18']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[5, 1, 71, 94], Operations: []
Exploring Operation: 94-71=23, Resulting Numbers: [5, 1, 23]
Generated Node #0,0: 18:[5, 1, 23] Operation: 94-71=23
Moving to Node #0,0
Current State: 18:[5, 1, 23], Operations: ['94-71=23']
Exploring Operation: 23-5=18, Resulting Numbers: [1, 18]
Generated Node #0,0,3: 18:[1, 18] Operation: 23-5=18
Moving to Node #0,0,3
Current State: 18:[1, 18], Operations: ['94-71=23', '23-5=18']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.978299 | hs_4 | sum_heuristic |
[
97,
1,
60,
30
] | 97 | [
"60/30=2",
"2-1=1",
"97*1=97"
] | Current State: 97:[97, 1, 60, 30], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [97, 1, 2]
Generated Node #2: [97, 1, 2] from Operation: 60/30=2
Current State: 97:[97, 1, 2], Operations: ['60/30=2']
Exploring Operation: 2-1=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 2-1=1
Current State: 97:[97, 1], Operations: ['60/30=2', '2-1=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[97, 1, 60, 30], Operations: []
Exploring Operation: 97/1=97, Resulting Numbers: [60, 30, 97]
Generated Node #0,0: 97:[60, 30, 97] Operation: 97/1=97
Exploring Operation: 1+30=31, Resulting Numbers: [97, 60, 31]
Generated Node #0,1: 97:[97, 60, 31] Operation: 1+30=31
Exploring Operation: 1+60=61, Resulting Numbers: [97, 30, 61]
Generated Node #0,2: 97:[97, 30, 61] Operation: 1+60=61
Exploring Operation: 97*1=97, Resulting Numbers: [60, 30, 97]
Generated Node #0,3: 97:[60, 30, 97] Operation: 97*1=97
Exploring Operation: 60+30=90, Resulting Numbers: [97, 1, 90]
Generated Node #0,4: 97:[97, 1, 90] Operation: 60+30=90
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[97, 60, 31], Operations: ['1+30=31']
Exploring Operation: 97-31=66, Resulting Numbers: [60, 66]
Generated Node #0,1,0: 97:[60, 66] Operation: 97-31=66
Exploring Operation: 60+31=91, Resulting Numbers: [97, 91]
Generated Node #0,1,1: 97:[97, 91] Operation: 60+31=91
Exploring Operation: 97+31=128, Resulting Numbers: [60, 128]
Generated Node #0,1,2: 97:[60, 128] Operation: 97+31=128
Exploring Operation: 97+60=157, Resulting Numbers: [31, 157]
Generated Node #0,1,3: 97:[31, 157] Operation: 97+60=157
Exploring Operation: 60-31=29, Resulting Numbers: [97, 29]
Generated Node #0,1,4: 97:[97, 29] Operation: 60-31=29
Moving to Node #0,1,1
Current State: 97:[97, 91], Operations: ['1+30=31', '60+31=91']
Exploring Operation: 97*91=8827, Resulting Numbers: [8827]
8827,97 unequal: No Solution
Exploring Operation: 97-91=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 97+91=188, Resulting Numbers: [188]
188,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[60, 128], Operations: ['1+30=31', '97+31=128']
Exploring Operation: 128-60=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 60*128=7680, Resulting Numbers: [7680]
7680,97 unequal: No Solution
Exploring Operation: 60+128=188, Resulting Numbers: [188]
188,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[60, 66], Operations: ['1+30=31', '97-31=66']
Exploring Operation: 60+66=126, Resulting Numbers: [126]
126,97 unequal: No Solution
Exploring Operation: 60*66=3960, Resulting Numbers: [3960]
3960,97 unequal: No Solution
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Moving to Node #0,1,4
Current State: 97:[97, 29], Operations: ['1+30=31', '60-31=29']
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 97*29=2813, Resulting Numbers: [2813]
2813,97 unequal: No Solution
Exploring Operation: 97+29=126, Resulting Numbers: [126]
126,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[31, 157], Operations: ['1+30=31', '97+60=157']
Exploring Operation: 31+157=188, Resulting Numbers: [188]
188,97 unequal: No Solution
Exploring Operation: 157-31=126, Resulting Numbers: [126]
126,97 unequal: No Solution
Exploring Operation: 31*157=4867, Resulting Numbers: [4867]
4867,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[97, 30, 61], Operations: ['1+60=61']
Exploring Operation: 30+61=91, Resulting Numbers: [97, 91]
Generated Node #0,2,0: 97:[97, 91] Operation: 30+61=91
Exploring Operation: 61-30=31, Resulting Numbers: [97, 31]
Generated Node #0,2,1: 97:[97, 31] Operation: 61-30=31
Exploring Operation: 97-30=67, Resulting Numbers: [61, 67]
Generated Node #0,2,2: 97:[61, 67] Operation: 97-30=67
Exploring Operation: 97+61=158, Resulting Numbers: [30, 158]
Generated Node #0,2,3: 97:[30, 158] Operation: 97+61=158
Exploring Operation: 97+30=127, Resulting Numbers: [61, 127]
Generated Node #0,2,4: 97:[61, 127] Operation: 97+30=127
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[97, 91], Operations: ['1+60=61', '30+61=91']
Exploring Operation: 97+91=188, Resulting Numbers: [188]
188,97 unequal: No Solution
Exploring Operation: 97-91=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 97*91=8827, Resulting Numbers: [8827]
8827,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 97:[97, 31], Operations: ['1+60=61', '61-30=31']
Exploring Operation: 97*31=3007, Resulting Numbers: [3007]
3007,97 unequal: No Solution
Exploring Operation: 97+31=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 97:[61, 67], Operations: ['1+60=61', '97-30=67']
Exploring Operation: 61*67=4087, Resulting Numbers: [4087]
4087,97 unequal: No Solution
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 61+67=128, Resulting Numbers: [128]
128,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 97:[61, 127], Operations: ['1+60=61', '97+30=127']
Exploring Operation: 127-61=66, Resulting Numbers: [66]
66,97 unequal: No Solution
Exploring Operation: 61*127=7747, Resulting Numbers: [7747]
7747,97 unequal: No Solution
Exploring Operation: 61+127=188, Resulting Numbers: [188]
188,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 97:[30, 158], Operations: ['1+60=61', '97+61=158']
Exploring Operation: 158-30=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 30*158=4740, Resulting Numbers: [4740]
4740,97 unequal: No Solution
Exploring Operation: 30+158=188, Resulting Numbers: [188]
188,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 97:[97, 1, 90], Operations: ['60+30=90']
Exploring Operation: 97/1=97, Resulting Numbers: [90, 97]
Generated Node #0,4,0: 97:[90, 97] Operation: 97/1=97
Exploring Operation: 97*1=97, Resulting Numbers: [90, 97]
Generated Node #0,4,1: 97:[90, 97] Operation: 97*1=97
Exploring Operation: 1*90=90, Resulting Numbers: [97, 90]
Generated Node #0,4,2: 97:[97, 90] Operation: 1*90=90
Exploring Operation: 1+90=91, Resulting Numbers: [97, 91]
Generated Node #0,4,3: 97:[97, 91] Operation: 1+90=91
Exploring Operation: 90/1=90, Resulting Numbers: [97, 90]
Generated Node #0,4,4: 97:[97, 90] Operation: 90/1=90
Moving to Node #0,4,3
Current State: 97:[97, 91], Operations: ['60+30=90', '1+90=91']
Exploring Operation: 97-91=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 97*91=8827, Resulting Numbers: [8827]
8827,97 unequal: No Solution
Exploring Operation: 97+91=188, Resulting Numbers: [188]
188,97 unequal: No Solution
Moving to Node #0,4,1
Current State: 97:[90, 97], Operations: ['60+30=90', '97*1=97']
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 90+97=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 90*97=8730, Resulting Numbers: [8730]
8730,97 unequal: No Solution
Moving to Node #0,4,4
Current State: 97:[97, 90], Operations: ['60+30=90', '90/1=90']
Exploring Operation: 97+90=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 97*90=8730, Resulting Numbers: [8730]
8730,97 unequal: No Solution
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[90, 97], Operations: ['60+30=90', '97/1=97']
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 90*97=8730, Resulting Numbers: [8730]
8730,97 unequal: No Solution
Exploring Operation: 90+97=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[97, 90], Operations: ['60+30=90', '1*90=90']
Exploring Operation: 97+90=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 97*90=8730, Resulting Numbers: [8730]
8730,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[60, 30, 97], Operations: ['97/1=97']
Exploring Operation: 60-30=30, Resulting Numbers: [97, 30]
Generated Node #0,0,0: 97:[97, 30] Operation: 60-30=30
Exploring Operation: 60+30=90, Resulting Numbers: [97, 90]
Generated Node #0,0,1: 97:[97, 90] Operation: 60+30=90
Exploring Operation: 30+97=127, Resulting Numbers: [60, 127]
Generated Node #0,0,2: 97:[60, 127] Operation: 30+97=127
Exploring Operation: 97-30=67, Resulting Numbers: [60, 67]
Generated Node #0,0,3: 97:[60, 67] Operation: 97-30=67
Exploring Operation: 60/30=2, Resulting Numbers: [97, 2]
Generated Node #0,0,4: 97:[97, 2] Operation: 60/30=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[97, 90], Operations: ['97/1=97', '60+30=90']
Exploring Operation: 97*90=8730, Resulting Numbers: [8730]
8730,97 unequal: No Solution
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 97+90=187, Resulting Numbers: [187]
187,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[97, 30], Operations: ['97/1=97', '60-30=30']
Exploring Operation: 97+30=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,97 unequal: No Solution
Exploring Operation: 97*30=2910, Resulting Numbers: [2910]
2910,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[60, 127], Operations: ['97/1=97', '30+97=127']
Exploring Operation: 60+127=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 60*127=7620, Resulting Numbers: [7620]
7620,97 unequal: No Solution
Exploring Operation: 127-60=67, Resulting Numbers: [67]
67,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 97:[60, 67], Operations: ['97/1=97', '97-30=67']
Exploring Operation: 60+67=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 60*67=4020, Resulting Numbers: [4020]
4020,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 97:[97, 2], Operations: ['97/1=97', '60/30=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[60, 30, 97], Operations: ['97*1=97']
Exploring Operation: 30+97=127, Resulting Numbers: [60, 127]
Generated Node #0,3,0: 97:[60, 127] Operation: 30+97=127
Exploring Operation: 60+30=90, Resulting Numbers: [97, 90]
Generated Node #0,3,1: 97:[97, 90] Operation: 60+30=90
Exploring Operation: 60/30=2, Resulting Numbers: [97, 2]
Generated Node #0,3,2: 97:[97, 2] Operation: 60/30=2
Exploring Operation: 97-30=67, Resulting Numbers: [60, 67]
Generated Node #0,3,3: 97:[60, 67] Operation: 97-30=67
Exploring Operation: 60-30=30, Resulting Numbers: [97, 30]
Generated Node #0,3,4: 97:[97, 30] Operation: 60-30=30
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 97:[97, 90], Operations: ['97*1=97', '60+30=90']
Exploring Operation: 97+90=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 97*90=8730, Resulting Numbers: [8730]
8730,97 unequal: No Solution
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 97:[60, 127], Operations: ['97*1=97', '30+97=127']
Exploring Operation: 60+127=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 127-60=67, Resulting Numbers: [67]
67,97 unequal: No Solution
Exploring Operation: 60*127=7620, Resulting Numbers: [7620]
7620,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 97:[60, 67], Operations: ['97*1=97', '97-30=67']
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 60*67=4020, Resulting Numbers: [4020]
4020,97 unequal: No Solution
Exploring Operation: 60+67=127, Resulting Numbers: [127]
127,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 97:[97, 30], Operations: ['97*1=97', '60-30=30']
Exploring Operation: 97+30=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 97*30=2910, Resulting Numbers: [2910]
2910,97 unequal: No Solution
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 97:[97, 2], Operations: ['97*1=97', '60/30=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
56,
37,
76,
78
] | 74 | [
"56-37=19",
"76/19=4",
"78-4=74"
] | Current State: 74:[56, 37, 76, 78], Operations: []
Exploring Operation: 56-37=19, Resulting Numbers: [76, 78, 19]
Generated Node #2: [76, 78, 19] from Operation: 56-37=19
Current State: 74:[76, 78, 19], Operations: ['56-37=19']
Exploring Operation: 76/19=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 76/19=4
Current State: 74:[78, 4], Operations: ['56-37=19', '76/19=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[56, 37, 76, 78], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [37, 76, 22]
Generated Node #0,0: 74:[37, 76, 22] Operation: 78-56=22
Moving to Node #0,0
Current State: 74:[37, 76, 22], Operations: ['78-56=22']
Exploring Operation: 37-22=15, Resulting Numbers: [76, 15]
Generated Node #0,0,0: 74:[76, 15] Operation: 37-22=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[76, 15], Operations: ['78-56=22', '37-22=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,74 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 |
[
76,
53,
2,
76
] | 27 | [
"76/76=1",
"53+1=54",
"54/2=27"
] | Current State: 27:[76, 53, 2, 76], Operations: []
Exploring Operation: 76/76=1, Resulting Numbers: [53, 2, 1]
Generated Node #2: [53, 2, 1] from Operation: 76/76=1
Current State: 27:[53, 2, 1], Operations: ['76/76=1']
Exploring Operation: 53+1=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 53+1=54
Current State: 27:[2, 54], Operations: ['76/76=1', '53+1=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[76, 53, 2, 76], Operations: []
Exploring Operation: 76/76=1, Resulting Numbers: [53, 2, 1]
Generated Node #0,0: 27:[53, 2, 1] Operation: 76/76=1
Moving to Node #0,0
Current State: 27:[53, 2, 1], Operations: ['76/76=1']
Exploring Operation: 53-2=51, Resulting Numbers: [1, 51]
Generated Node #0,0,0: 27:[1, 51] Operation: 53-2=51
Moving to Node #0,0,0
Current State: 27:[1, 51], Operations: ['76/76=1', '53-2=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,27 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
79,
91,
95,
9
] | 13 | [
"91-79=12",
"9*12=108",
"108-95=13"
] | Current State: 13:[79, 91, 95, 9], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [95, 9, 12]
Generated Node #2: [95, 9, 12] from Operation: 91-79=12
Current State: 13:[95, 9, 12], Operations: ['91-79=12']
Exploring Operation: 9*12=108, Resulting Numbers: [95, 108]
Generated Node #3: [95, 108] from Operation: 9*12=108
Current State: 13:[95, 108], Operations: ['91-79=12', '9*12=108']
Exploring Operation: 108-95=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[79, 91, 95, 9], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [79, 9, 4]
Generated Node #0,0: 13:[79, 9, 4] Operation: 95-91=4
Exploring Operation: 95-79=16, Resulting Numbers: [91, 9, 16]
Generated Node #0,1: 13:[91, 9, 16] Operation: 95-79=16
Moving to Node #0,0
Current State: 13:[79, 9, 4], Operations: ['95-91=4']
Exploring Operation: 79-9=70, Resulting Numbers: [4, 70]
Generated Node #0,0,0: 13:[4, 70] Operation: 79-9=70
Exploring Operation: 79-4=75, Resulting Numbers: [9, 75]
Generated Node #0,0,1: 13:[9, 75] Operation: 79-4=75
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[4, 70], Operations: ['95-91=4', '79-9=70']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,13 unequal: No Solution
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[9, 75], Operations: ['95-91=4', '79-4=75']
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,13 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: 13:[91, 9, 16], Operations: ['95-79=16']
Exploring Operation: 91-16=75, Resulting Numbers: [9, 75]
Generated Node #0,1,0: 13:[9, 75] Operation: 91-16=75
Exploring Operation: 91-9=82, Resulting Numbers: [16, 82]
Generated Node #0,1,1: 13:[16, 82] Operation: 91-9=82
Moving to Node #0,1,0
Current State: 13:[9, 75], Operations: ['95-79=16', '91-16=75']
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[16, 82], Operations: ['95-79=16', '91-9=82']
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,13 unequal: No Solution
Exploring Operation: 16+82=98, Resulting Numbers: [98]
98,13 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
5,
85,
48,
25
] | 15 | [
"85-5=80",
"48*25=1200",
"1200/80=15"
] | Current State: 15:[5, 85, 48, 25], Operations: []
Exploring Operation: 85-5=80, Resulting Numbers: [48, 25, 80]
Generated Node #2: [48, 25, 80] from Operation: 85-5=80
Current State: 15:[48, 25, 80], Operations: ['85-5=80']
Exploring Operation: 48*25=1200, Resulting Numbers: [80, 1200]
Generated Node #3: [80, 1200] from Operation: 48*25=1200
Current State: 15:[80, 1200], Operations: ['85-5=80', '48*25=1200']
Exploring Operation: 1200/80=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[5, 85, 48, 25], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [5, 25, 37]
Generated Node #0,0: 15:[5, 25, 37] Operation: 85-48=37
Exploring Operation: 85/5=17, Resulting Numbers: [48, 25, 17]
Generated Node #0,1: 15:[48, 25, 17] Operation: 85/5=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[5, 25, 37], Operations: ['85-48=37']
Exploring Operation: 25/5=5, Resulting Numbers: [37, 5]
Generated Node #0,0,0: 15:[37, 5] Operation: 25/5=5
Exploring Operation: 37-25=12, Resulting Numbers: [5, 12]
Generated Node #0,0,1: 15:[5, 12] Operation: 37-25=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[5, 12], Operations: ['85-48=37', '37-25=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[37, 5], Operations: ['85-48=37', '25/5=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[48, 25, 17], Operations: ['85/5=17']
Exploring Operation: 48-17=31, Resulting Numbers: [25, 31]
Generated Node #0,1,0: 15:[25, 31] Operation: 48-17=31
Exploring Operation: 48-25=23, Resulting Numbers: [17, 23]
Generated Node #0,1,1: 15:[17, 23] Operation: 48-25=23
Moving to Node #0,1,1
Current State: 15:[17, 23], Operations: ['85/5=17', '48-25=23']
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[25, 31], Operations: ['85/5=17', '48-17=31']
Exploring Operation: 25+31=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,15 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 |
[
14,
63,
72,
74
] | 79 | [
"14+63=77",
"74-72=2",
"77+2=79"
] | Current State: 79:[14, 63, 72, 74], Operations: []
Exploring Operation: 14+63=77, Resulting Numbers: [72, 74, 77]
Generated Node #2: [72, 74, 77] from Operation: 14+63=77
Current State: 79:[72, 74, 77], Operations: ['14+63=77']
Exploring Operation: 74-72=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 74-72=2
Current State: 79:[77, 2], Operations: ['14+63=77', '74-72=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[14, 63, 72, 74], Operations: []
Exploring Operation: 63-14=49, Resulting Numbers: [72, 74, 49]
Generated Node #0,0: 79:[72, 74, 49] Operation: 63-14=49
Exploring Operation: 14+72=86, Resulting Numbers: [63, 74, 86]
Generated Node #0,1: 79:[63, 74, 86] Operation: 14+72=86
Exploring Operation: 72-14=58, Resulting Numbers: [63, 74, 58]
Generated Node #0,2: 79:[63, 74, 58] Operation: 72-14=58
Exploring Operation: 14+63=77, Resulting Numbers: [72, 74, 77]
Generated Node #0,3: 79:[72, 74, 77] Operation: 14+63=77
Exploring Operation: 14+74=88, Resulting Numbers: [63, 72, 88]
Generated Node #0,4: 79:[63, 72, 88] Operation: 14+74=88
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[72, 74, 77], Operations: ['14+63=77']
Exploring Operation: 74+77=151, Resulting Numbers: [72, 151]
Generated Node #0,3,0: 79:[72, 151] Operation: 74+77=151
Exploring Operation: 72+74=146, Resulting Numbers: [77, 146]
Generated Node #0,3,1: 79:[77, 146] Operation: 72+74=146
Exploring Operation: 74-72=2, Resulting Numbers: [77, 2]
Generated Node #0,3,2: 79:[77, 2] Operation: 74-72=2
Exploring Operation: 77-72=5, Resulting Numbers: [74, 5]
Generated Node #0,3,3: 79:[74, 5] Operation: 77-72=5
Exploring Operation: 72+77=149, Resulting Numbers: [74, 149]
Generated Node #0,3,4: 79:[74, 149] Operation: 72+77=149
Moving to Node #0,3,1
Current State: 79:[77, 146], Operations: ['14+63=77', '72+74=146']
Exploring Operation: 77+146=223, Resulting Numbers: [223]
223,79 unequal: No Solution
Exploring Operation: 77*146=11242, Resulting Numbers: [11242]
11242,79 unequal: No Solution
Exploring Operation: 146-77=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[74, 149], Operations: ['14+63=77', '72+77=149']
Exploring Operation: 149-74=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 74+149=223, Resulting Numbers: [223]
223,79 unequal: No Solution
Exploring Operation: 74*149=11026, Resulting Numbers: [11026]
11026,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[72, 151], Operations: ['14+63=77', '74+77=151']
Exploring Operation: 72*151=10872, Resulting Numbers: [10872]
10872,79 unequal: No Solution
Exploring Operation: 72+151=223, Resulting Numbers: [223]
223,79 unequal: No Solution
Exploring Operation: 151-72=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[14, 63, 72, 74], Operations: []
Exploring Operation: 14+63=77, Resulting Numbers: [72, 74, 77]
Generated Node #0,3: 79:[72, 74, 77] Operation: 14+63=77
Moving to Node #0,3
Current State: 79:[72, 74, 77], Operations: ['14+63=77']
Exploring Operation: 74+77=151, Resulting Numbers: [72, 151]
Generated Node #0,3,0: 79:[72, 151] Operation: 74+77=151
Moving to Node #0,3,0
Current State: 79:[72, 151], Operations: ['14+63=77', '74+77=151']
Exploring Operation: 151-72=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
72,
55,
44,
55
] | 72 | [
"55-55=0",
"44*0=0",
"72+0=72"
] | Current State: 72:[72, 55, 44, 55], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [72, 44, 0]
Generated Node #2: [72, 44, 0] from Operation: 55-55=0
Current State: 72:[72, 44, 0], Operations: ['55-55=0']
Exploring Operation: 44*0=0, Resulting Numbers: [72, 0]
Generated Node #3: [72, 0] from Operation: 44*0=0
Current State: 72:[72, 0], Operations: ['55-55=0', '44*0=0']
Exploring Operation: 72+0=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[72, 55, 44, 55], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [72, 44, 0]
Generated Node #0,0: 72:[72, 44, 0] Operation: 55-55=0
Exploring Operation: 55/55=1, Resulting Numbers: [72, 44, 1]
Generated Node #0,1: 72:[72, 44, 1] Operation: 55/55=1
Exploring Operation: 55-44=11, Resulting Numbers: [72, 55, 11]
Generated Node #0,2: 72:[72, 55, 11] Operation: 55-44=11
Moving to Node #0,1
Current State: 72:[72, 44, 1], Operations: ['55/55=1']
Exploring Operation: 72-44=28, Resulting Numbers: [1, 28]
Generated Node #0,1,0: 72:[1, 28] Operation: 72-44=28
Exploring Operation: 72*1=72, Resulting Numbers: [44, 72]
Generated Node #0,1,1: 72:[44, 72] Operation: 72*1=72
Exploring Operation: 44-1=43, Resulting Numbers: [72, 43]
Generated Node #0,1,2: 72:[72, 43] Operation: 44-1=43
Moving to Node #0,0
Current State: 72:[72, 44, 0], Operations: ['55-55=0']
Exploring Operation: 72-44=28, Resulting Numbers: [0, 28]
Generated Node #0,0,0: 72:[0, 28] Operation: 72-44=28
Exploring Operation: 44*0=0, Resulting Numbers: [72, 0]
Generated Node #0,0,1: 72:[72, 0] Operation: 44*0=0
Exploring Operation: 72+0=72, Resulting Numbers: [44, 72]
Generated Node #0,0,2: 72:[44, 72] Operation: 72+0=72
Moving to Node #0,2
Current State: 72:[72, 55, 11], Operations: ['55-44=11']
Exploring Operation: 55+11=66, Resulting Numbers: [72, 66]
Generated Node #0,2,0: 72:[72, 66] Operation: 55+11=66
Exploring Operation: 72-55=17, Resulting Numbers: [11, 17]
Generated Node #0,2,1: 72:[11, 17] Operation: 72-55=17
Exploring Operation: 55/11=5, Resulting Numbers: [72, 5]
Generated Node #0,2,2: 72:[72, 5] Operation: 55/11=5
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[72, 5], Operations: ['55-44=11', '55/11=5']
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,72 unequal: No Solution
Exploring Operation: 72*5=360, Resulting Numbers: [360]
360,72 unequal: No Solution
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,72 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:[11, 17], Operations: ['55-44=11', '72-55=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,72 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:[72, 66], Operations: ['55-44=11', '55+11=66']
Exploring Operation: 72*66=4752, Resulting Numbers: [4752]
4752,72 unequal: No Solution
Exploring Operation: 72+66=138, Resulting Numbers: [138]
138,72 unequal: No Solution
Exploring Operation: 72-66=6, Resulting Numbers: [6]
6,72 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: 72:[72, 0], Operations: ['55-55=0', '44*0=0']
Exploring Operation: 72+0=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[72, 55, 44, 55], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [72, 44, 0]
Generated Node #0,0: 72:[72, 44, 0] Operation: 55-55=0
Moving to Node #0,0
Current State: 72:[72, 44, 0], Operations: ['55-55=0']
Exploring Operation: 44*0=0, Resulting Numbers: [72, 0]
Generated Node #0,0,1: 72:[72, 0] Operation: 44*0=0
Moving to Node #0,0,1
Current State: 72:[72, 0], Operations: ['55-55=0', '44*0=0']
Exploring Operation: 72+0=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
67,
89,
4,
52
] | 91 | [
"67+89=156",
"156/4=39",
"52+39=91"
] | Current State: 91:[67, 89, 4, 52], Operations: []
Exploring Operation: 67+89=156, Resulting Numbers: [4, 52, 156]
Generated Node #2: [4, 52, 156] from Operation: 67+89=156
Current State: 91:[4, 52, 156], Operations: ['67+89=156']
Exploring Operation: 156/4=39, Resulting Numbers: [52, 39]
Generated Node #3: [52, 39] from Operation: 156/4=39
Current State: 91:[52, 39], Operations: ['67+89=156', '156/4=39']
Exploring Operation: 52+39=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[67, 89, 4, 52], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [67, 89, 13]
Generated Node #0,0: 91:[67, 89, 13] Operation: 52/4=13
Exploring Operation: 67-52=15, Resulting Numbers: [89, 4, 15]
Generated Node #0,1: 91:[89, 4, 15] Operation: 67-52=15
Exploring Operation: 67+52=119, Resulting Numbers: [89, 4, 119]
Generated Node #0,2: 91:[89, 4, 119] Operation: 67+52=119
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[89, 4, 15], Operations: ['67-52=15']
Exploring Operation: 89+4=93, Resulting Numbers: [15, 93]
Generated Node #0,1,0: 91:[15, 93] Operation: 89+4=93
Exploring Operation: 15-4=11, Resulting Numbers: [89, 11]
Generated Node #0,1,1: 91:[89, 11] Operation: 15-4=11
Exploring Operation: 89-4=85, Resulting Numbers: [15, 85]
Generated Node #0,1,2: 91:[15, 85] Operation: 89-4=85
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 91:[15, 93], Operations: ['67-52=15', '89+4=93']
Exploring Operation: 15*93=1395, Resulting Numbers: [1395]
1395,91 unequal: No Solution
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,91 unequal: No Solution
Exploring Operation: 15+93=108, Resulting Numbers: [108]
108,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 91:[89, 11], Operations: ['67-52=15', '15-4=11']
Exploring Operation: 89*11=979, Resulting Numbers: [979]
979,91 unequal: No Solution
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 91:[15, 85], Operations: ['67-52=15', '89-4=85']
Exploring Operation: 85-15=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 15*85=1275, Resulting Numbers: [1275]
1275,91 unequal: No Solution
Exploring Operation: 15+85=100, Resulting Numbers: [100]
100,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[67, 89, 13], Operations: ['52/4=13']
Exploring Operation: 89+13=102, Resulting Numbers: [67, 102]
Generated Node #0,0,0: 91:[67, 102] Operation: 89+13=102
Exploring Operation: 67+13=80, Resulting Numbers: [89, 80]
Generated Node #0,0,1: 91:[89, 80] Operation: 67+13=80
Exploring Operation: 89-67=22, Resulting Numbers: [13, 22]
Generated Node #0,0,2: 91:[13, 22] Operation: 89-67=22
Moving to Node #0,0,2
Current State: 91:[13, 22], Operations: ['52/4=13', '89-67=22']
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[89, 80], Operations: ['52/4=13', '67+13=80']
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 89*80=7120, Resulting Numbers: [7120]
7120,91 unequal: No Solution
Exploring Operation: 89+80=169, Resulting Numbers: [169]
169,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[67, 102], Operations: ['52/4=13', '89+13=102']
Exploring Operation: 102-67=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 67*102=6834, Resulting Numbers: [6834]
6834,91 unequal: No Solution
Exploring Operation: 67+102=169, Resulting Numbers: [169]
169,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[89, 4, 119], Operations: ['67+52=119']
Exploring Operation: 119-89=30, Resulting Numbers: [4, 30]
Generated Node #0,2,0: 91:[4, 30] Operation: 119-89=30
Exploring Operation: 119-4=115, Resulting Numbers: [89, 115]
Generated Node #0,2,1: 91:[89, 115] Operation: 119-4=115
Exploring Operation: 89+4=93, Resulting Numbers: [119, 93]
Generated Node #0,2,2: 91:[119, 93] Operation: 89+4=93
Moving to Node #0,2,0
Current State: 91:[4, 30], Operations: ['67+52=119', '119-89=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,91 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[89, 115], Operations: ['67+52=119', '119-4=115']
Exploring Operation: 115-89=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 89*115=10235, Resulting Numbers: [10235]
10235,91 unequal: No Solution
Exploring Operation: 89+115=204, Resulting Numbers: [204]
204,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[119, 93], Operations: ['67+52=119', '89+4=93']
Exploring Operation: 119+93=212, Resulting Numbers: [212]
212,91 unequal: No Solution
Exploring Operation: 119*93=11067, Resulting Numbers: [11067]
11067,91 unequal: No Solution
Exploring Operation: 119-93=26, Resulting Numbers: [26]
26,91 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 |
[
13,
61,
12,
18
] | 79 | [
"13-12=1",
"61+18=79",
"1*79=79"
] | Current State: 79:[13, 61, 12, 18], Operations: []
Exploring Operation: 13-12=1, Resulting Numbers: [61, 18, 1]
Generated Node #2: [61, 18, 1] from Operation: 13-12=1
Current State: 79:[61, 18, 1], Operations: ['13-12=1']
Exploring Operation: 61+18=79, Resulting Numbers: [1, 79]
Generated Node #3: [1, 79] from Operation: 61+18=79
Current State: 79:[1, 79], Operations: ['13-12=1', '61+18=79']
Exploring Operation: 1*79=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[13, 61, 12, 18], Operations: []
Exploring Operation: 61+18=79, Resulting Numbers: [13, 12, 79]
Generated Node #0,0: 79:[13, 12, 79] Operation: 61+18=79
Exploring Operation: 13+12=25, Resulting Numbers: [61, 18, 25]
Generated Node #0,1: 79:[61, 18, 25] Operation: 13+12=25
Exploring Operation: 13+61=74, Resulting Numbers: [12, 18, 74]
Generated Node #0,2: 79:[12, 18, 74] Operation: 13+61=74
Exploring Operation: 61+12=73, Resulting Numbers: [13, 18, 73]
Generated Node #0,3: 79:[13, 18, 73] Operation: 61+12=73
Exploring Operation: 13+18=31, Resulting Numbers: [61, 12, 31]
Generated Node #0,4: 79:[61, 12, 31] Operation: 13+18=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[13, 12, 79], Operations: ['61+18=79']
Exploring Operation: 13-12=1, Resulting Numbers: [79, 1]
Generated Node #0,0,0: 79:[79, 1] Operation: 13-12=1
Exploring Operation: 12+79=91, Resulting Numbers: [13, 91]
Generated Node #0,0,1: 79:[13, 91] Operation: 12+79=91
Exploring Operation: 13*12=156, Resulting Numbers: [79, 156]
Generated Node #0,0,2: 79:[79, 156] Operation: 13*12=156
Exploring Operation: 13+12=25, Resulting Numbers: [79, 25]
Generated Node #0,0,3: 79:[79, 25] Operation: 13+12=25
Exploring Operation: 79-12=67, Resulting Numbers: [13, 67]
Generated Node #0,0,4: 79:[13, 67] Operation: 79-12=67
Moving to Node #0,0,3
Current State: 79:[79, 25], Operations: ['61+18=79', '13+12=25']
Exploring Operation: 79+25=104, Resulting Numbers: [104]
104,79 unequal: No Solution
Exploring Operation: 79*25=1975, Resulting Numbers: [1975]
1975,79 unequal: No Solution
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[79, 156], Operations: ['61+18=79', '13*12=156']
Exploring Operation: 156-79=77, Resulting Numbers: [77]
77,79 unequal: No Solution
Exploring Operation: 79+156=235, Resulting Numbers: [235]
235,79 unequal: No Solution
Exploring Operation: 79*156=12324, Resulting Numbers: [12324]
12324,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[79, 1], Operations: ['61+18=79', '13-12=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[13, 61, 12, 18], Operations: []
Exploring Operation: 61+18=79, Resulting Numbers: [13, 12, 79]
Generated Node #0,0: 79:[13, 12, 79] Operation: 61+18=79
Moving to Node #0,0
Current State: 79:[13, 12, 79], Operations: ['61+18=79']
Exploring Operation: 13-12=1, Resulting Numbers: [79, 1]
Generated Node #0,0,0: 79:[79, 1] Operation: 13-12=1
Moving to Node #0,0,0
Current State: 79:[79, 1], Operations: ['61+18=79', '13-12=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
56,
85,
53,
71
] | 57 | [
"85-71=14",
"56/14=4",
"53+4=57"
] | Current State: 57:[56, 85, 53, 71], Operations: []
Exploring Operation: 85-71=14, Resulting Numbers: [56, 53, 14]
Generated Node #2: [56, 53, 14] from Operation: 85-71=14
Current State: 57:[56, 53, 14], Operations: ['85-71=14']
Exploring Operation: 56/14=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 56/14=4
Current State: 57:[53, 4], Operations: ['85-71=14', '56/14=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[56, 85, 53, 71], Operations: []
Exploring Operation: 85-71=14, Resulting Numbers: [56, 53, 14]
Generated Node #0,0: 57:[56, 53, 14] Operation: 85-71=14
Moving to Node #0,0
Current State: 57:[56, 53, 14], Operations: ['85-71=14']
Exploring Operation: 56-53=3, Resulting Numbers: [14, 3]
Generated Node #0,0,0: 57:[14, 3] Operation: 56-53=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[14, 3], Operations: ['85-71=14', '56-53=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,57 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 |
[
56,
47,
29,
52
] | 89 | [
"52-47=5",
"29*5=145",
"145-56=89"
] | Current State: 89:[56, 47, 29, 52], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [56, 29, 5]
Generated Node #2: [56, 29, 5] from Operation: 52-47=5
Current State: 89:[56, 29, 5], Operations: ['52-47=5']
Exploring Operation: 29*5=145, Resulting Numbers: [56, 145]
Generated Node #3: [56, 145] from Operation: 29*5=145
Current State: 89:[56, 145], Operations: ['52-47=5', '29*5=145']
Exploring Operation: 145-56=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[56, 47, 29, 52], Operations: []
Exploring Operation: 56+29=85, Resulting Numbers: [47, 52, 85]
Generated Node #0,0: 89:[47, 52, 85] Operation: 56+29=85
Exploring Operation: 47+29=76, Resulting Numbers: [56, 52, 76]
Generated Node #0,1: 89:[56, 52, 76] Operation: 47+29=76
Exploring Operation: 47+52=99, Resulting Numbers: [56, 29, 99]
Generated Node #0,2: 89:[56, 29, 99] Operation: 47+52=99
Exploring Operation: 29+52=81, Resulting Numbers: [56, 47, 81]
Generated Node #0,3: 89:[56, 47, 81] Operation: 29+52=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[47, 52, 85], Operations: ['56+29=85']
Exploring Operation: 47+85=132, Resulting Numbers: [52, 132]
Generated Node #0,0,0: 89:[52, 132] Operation: 47+85=132
Exploring Operation: 47+52=99, Resulting Numbers: [85, 99]
Generated Node #0,0,1: 89:[85, 99] Operation: 47+52=99
Exploring Operation: 52-47=5, Resulting Numbers: [85, 5]
Generated Node #0,0,2: 89:[85, 5] Operation: 52-47=5
Exploring Operation: 85-47=38, Resulting Numbers: [52, 38]
Generated Node #0,0,3: 89:[52, 38] Operation: 85-47=38
Moving to Node #0,0,1
Current State: 89:[85, 99], Operations: ['56+29=85', '47+52=99']
Exploring Operation: 99-85=14, Resulting Numbers: [14]
14,89 unequal: No Solution
Exploring Operation: 85*99=8415, Resulting Numbers: [8415]
8415,89 unequal: No Solution
Exploring Operation: 85+99=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[52, 132], Operations: ['56+29=85', '47+85=132']
Exploring Operation: 52*132=6864, Resulting Numbers: [6864]
6864,89 unequal: No Solution
Exploring Operation: 132-52=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 52+132=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[52, 38], Operations: ['56+29=85', '85-47=38']
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,89 unequal: No Solution
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[85, 5], Operations: ['56+29=85', '52-47=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 85*5=425, Resulting Numbers: [425]
425,89 unequal: No Solution
No 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: 89:[56, 52, 76], Operations: ['47+29=76']
Exploring Operation: 52+76=128, Resulting Numbers: [56, 128]
Generated Node #0,1,0: 89:[56, 128] Operation: 52+76=128
Exploring Operation: 56+76=132, Resulting Numbers: [52, 132]
Generated Node #0,1,1: 89:[52, 132] Operation: 56+76=132
Exploring Operation: 56-52=4, Resulting Numbers: [76, 4]
Generated Node #0,1,2: 89:[76, 4] Operation: 56-52=4
Exploring Operation: 56+52=108, Resulting Numbers: [76, 108]
Generated Node #0,1,3: 89:[76, 108] Operation: 56+52=108
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 89:[76, 108], Operations: ['47+29=76', '56+52=108']
Exploring Operation: 76+108=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 76*108=8208, Resulting Numbers: [8208]
8208,89 unequal: No Solution
Exploring Operation: 108-76=32, Resulting Numbers: [32]
32,89 unequal: No Solution
No 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: 89:[56, 128], Operations: ['47+29=76', '52+76=128']
Exploring Operation: 56*128=7168, Resulting Numbers: [7168]
7168,89 unequal: No Solution
Exploring Operation: 56+128=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 128-56=72, Resulting Numbers: [72]
72,89 unequal: No Solution
No 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: 89:[52, 132], Operations: ['47+29=76', '56+76=132']
Exploring Operation: 132-52=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 52*132=6864, Resulting Numbers: [6864]
6864,89 unequal: No Solution
Exploring Operation: 52+132=184, Resulting Numbers: [184]
184,89 unequal: No Solution
No 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: 89:[76, 4], Operations: ['47+29=76', '56-52=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,89 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,89 unequal: No Solution
Exploring Operation: 76*4=304, Resulting Numbers: [304]
304,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[56, 47, 81], Operations: ['29+52=81']
Exploring Operation: 56+47=103, Resulting Numbers: [81, 103]
Generated Node #0,3,0: 89:[81, 103] Operation: 56+47=103
Exploring Operation: 47+81=128, Resulting Numbers: [56, 128]
Generated Node #0,3,1: 89:[56, 128] Operation: 47+81=128
Exploring Operation: 56-47=9, Resulting Numbers: [81, 9]
Generated Node #0,3,2: 89:[81, 9] Operation: 56-47=9
Exploring Operation: 81-47=34, Resulting Numbers: [56, 34]
Generated Node #0,3,3: 89:[56, 34] Operation: 81-47=34
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 89:[81, 103], Operations: ['29+52=81', '56+47=103']
Exploring Operation: 81+103=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 81*103=8343, Resulting Numbers: [8343]
8343,89 unequal: No Solution
Exploring Operation: 103-81=22, Resulting Numbers: [22]
22,89 unequal: No Solution
No 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: 89:[56, 128], Operations: ['29+52=81', '47+81=128']
Exploring Operation: 128-56=72, Resulting Numbers: [72]
72,89 unequal: No Solution
Exploring Operation: 56*128=7168, Resulting Numbers: [7168]
7168,89 unequal: No Solution
Exploring Operation: 56+128=184, Resulting Numbers: [184]
184,89 unequal: No Solution
No 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: 89:[81, 9], Operations: ['29+52=81', '56-47=9']
Exploring Operation: 81*9=729, Resulting Numbers: [729]
729,89 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,89 unequal: No Solution
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,89 unequal: No Solution
No 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: 89:[56, 34], Operations: ['29+52=81', '81-47=34']
Exploring Operation: 56*34=1904, Resulting Numbers: [1904]
1904,89 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[56, 29, 99], Operations: ['47+52=99']
Exploring Operation: 99-29=70, Resulting Numbers: [56, 70]
Generated Node #0,2,0: 89:[56, 70] Operation: 99-29=70
Exploring Operation: 56+29=85, Resulting Numbers: [99, 85]
Generated Node #0,2,1: 89:[99, 85] Operation: 56+29=85
Exploring Operation: 56-29=27, Resulting Numbers: [99, 27]
Generated Node #0,2,2: 89:[99, 27] Operation: 56-29=27
Exploring Operation: 29+99=128, Resulting Numbers: [56, 128]
Generated Node #0,2,3: 89:[56, 128] Operation: 29+99=128
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[99, 85], Operations: ['47+52=99', '56+29=85']
Exploring Operation: 99*85=8415, Resulting Numbers: [8415]
8415,89 unequal: No Solution
Exploring Operation: 99+85=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 99-85=14, Resulting Numbers: [14]
14,89 unequal: No Solution
No 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: 89:[56, 70], Operations: ['47+52=99', '99-29=70']
Exploring Operation: 56+70=126, Resulting Numbers: [126]
126,89 unequal: No Solution
Exploring Operation: 56*70=3920, Resulting Numbers: [3920]
3920,89 unequal: No Solution
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,89 unequal: No Solution
No 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: 89:[99, 27], Operations: ['47+52=99', '56-29=27']
Exploring Operation: 99*27=2673, Resulting Numbers: [2673]
2673,89 unequal: No Solution
Exploring Operation: 99+27=126, Resulting Numbers: [126]
126,89 unequal: No Solution
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,89 unequal: No Solution
No 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: 89:[56, 128], Operations: ['47+52=99', '29+99=128']
Exploring Operation: 56*128=7168, Resulting Numbers: [7168]
7168,89 unequal: No Solution
Exploring Operation: 128-56=72, Resulting Numbers: [72]
72,89 unequal: No Solution
Exploring Operation: 56+128=184, Resulting Numbers: [184]
184,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
77,
70,
34,
41
] | 59 | [
"41-34=7",
"77/7=11",
"70-11=59"
] | Current State: 59:[77, 70, 34, 41], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [77, 70, 7]
Generated Node #2: [77, 70, 7] from Operation: 41-34=7
Current State: 59:[77, 70, 7], Operations: ['41-34=7']
Exploring Operation: 77/7=11, Resulting Numbers: [70, 11]
Generated Node #3: [70, 11] from Operation: 77/7=11
Current State: 59:[70, 11], Operations: ['41-34=7', '77/7=11']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[77, 70, 34, 41], Operations: []
Exploring Operation: 77-34=43, Resulting Numbers: [70, 41, 43]
Generated Node #0,0: 59:[70, 41, 43] Operation: 77-34=43
Exploring Operation: 34+41=75, Resulting Numbers: [77, 70, 75]
Generated Node #0,1: 59:[77, 70, 75] Operation: 34+41=75
Exploring Operation: 70-34=36, Resulting Numbers: [77, 41, 36]
Generated Node #0,2: 59:[77, 41, 36] Operation: 70-34=36
Exploring Operation: 77-41=36, Resulting Numbers: [70, 34, 36]
Generated Node #0,3: 59:[70, 34, 36] Operation: 77-41=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[70, 41, 43], Operations: ['77-34=43']
Exploring Operation: 70+41=111, Resulting Numbers: [43, 111]
Generated Node #0,0,0: 59:[43, 111] Operation: 70+41=111
Exploring Operation: 70-43=27, Resulting Numbers: [41, 27]
Generated Node #0,0,1: 59:[41, 27] Operation: 70-43=27
Exploring Operation: 70-41=29, Resulting Numbers: [43, 29]
Generated Node #0,0,2: 59:[43, 29] Operation: 70-41=29
Exploring Operation: 41+43=84, Resulting Numbers: [70, 84]
Generated Node #0,0,3: 59:[70, 84] Operation: 41+43=84
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 59:[70, 84], Operations: ['77-34=43', '41+43=84']
Exploring Operation: 70+84=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 70*84=5880, Resulting Numbers: [5880]
5880,59 unequal: No Solution
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No 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: 59:[43, 29], Operations: ['77-34=43', '70-41=29']
Exploring Operation: 43+29=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 43*29=1247, Resulting Numbers: [1247]
1247,59 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No 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: 59:[41, 27], Operations: ['77-34=43', '70-43=27']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,59 unequal: No Solution
No 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: 59:[43, 111], Operations: ['77-34=43', '70+41=111']
Exploring Operation: 111-43=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 43+111=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 43*111=4773, Resulting Numbers: [4773]
4773,59 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: 59:[77, 70, 75], Operations: ['34+41=75']
Exploring Operation: 77-75=2, Resulting Numbers: [70, 2]
Generated Node #0,1,0: 59:[70, 2] Operation: 77-75=2
Exploring Operation: 77-70=7, Resulting Numbers: [75, 7]
Generated Node #0,1,1: 59:[75, 7] Operation: 77-70=7
Exploring Operation: 75-70=5, Resulting Numbers: [77, 5]
Generated Node #0,1,2: 59:[77, 5] Operation: 75-70=5
Exploring Operation: 77+70=147, Resulting Numbers: [75, 147]
Generated Node #0,1,3: 59:[75, 147] Operation: 77+70=147
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[70, 2], Operations: ['34+41=75', '77-75=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,59 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,59 unequal: No Solution
No 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: 59:[75, 7], Operations: ['34+41=75', '77-70=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,59 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,59 unequal: No Solution
No 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: 59:[77, 5], Operations: ['34+41=75', '75-70=5']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 77*5=385, Resulting Numbers: [385]
385,59 unequal: No Solution
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,59 unequal: No Solution
No 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: 59:[75, 147], Operations: ['34+41=75', '77+70=147']
Exploring Operation: 147-75=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 75+147=222, Resulting Numbers: [222]
222,59 unequal: No Solution
Exploring Operation: 75*147=11025, Resulting Numbers: [11025]
11025,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[77, 41, 36], Operations: ['70-34=36']
Exploring Operation: 77+36=113, Resulting Numbers: [41, 113]
Generated Node #0,2,0: 59:[41, 113] Operation: 77+36=113
Exploring Operation: 77-41=36, Resulting Numbers: [36, 36]
Generated Node #0,2,1: 59:[36, 36] Operation: 77-41=36
Exploring Operation: 41+36=77, Resulting Numbers: [77, 77]
Generated Node #0,2,2: 59:[77, 77] Operation: 41+36=77
Exploring Operation: 77-36=41, Resulting Numbers: [41, 41]
Generated Node #0,2,3: 59:[41, 41] Operation: 77-36=41
Moving to Node #0,2,2
Current State: 59:[77, 77], Operations: ['70-34=36', '41+36=77']
Exploring Operation: 77*77=5929, Resulting Numbers: [5929]
5929,59 unequal: No Solution
Exploring Operation: 77/77=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 77-77=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 77+77=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[41, 41], Operations: ['70-34=36', '77-36=41']
Exploring Operation: 41-41=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 41/41=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 41*41=1681, Resulting Numbers: [1681]
1681,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[36, 36], Operations: ['70-34=36', '77-41=36']
Exploring Operation: 36-36=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 36/36=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 36+36=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 36*36=1296, Resulting Numbers: [1296]
1296,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[41, 113], Operations: ['70-34=36', '77+36=113']
Exploring Operation: 41+113=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 41*113=4633, Resulting Numbers: [4633]
4633,59 unequal: No Solution
Exploring Operation: 113-41=72, Resulting Numbers: [72]
72,59 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
Current State: 59:[70, 34, 36], Operations: ['77-41=36']
Exploring Operation: 70+34=104, Resulting Numbers: [36, 104]
Generated Node #0,3,0: 59:[36, 104] Operation: 70+34=104
Exploring Operation: 34+36=70, Resulting Numbers: [70, 70]
Generated Node #0,3,1: 59:[70, 70] Operation: 34+36=70
Exploring Operation: 70-36=34, Resulting Numbers: [34, 34]
Generated Node #0,3,2: 59:[34, 34] Operation: 70-36=34
Exploring Operation: 70-34=36, Resulting Numbers: [36, 36]
Generated Node #0,3,3: 59:[36, 36] Operation: 70-34=36
Moving to Node #0,3,1
Current State: 59:[70, 70], Operations: ['77-41=36', '34+36=70']
Exploring Operation: 70-70=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 70*70=4900, Resulting Numbers: [4900]
4900,59 unequal: No Solution
Exploring Operation: 70/70=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 70+70=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[36, 36], Operations: ['77-41=36', '70-34=36']
Exploring Operation: 36/36=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 36-36=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 36*36=1296, Resulting Numbers: [1296]
1296,59 unequal: No Solution
Exploring Operation: 36+36=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[34, 34], Operations: ['77-41=36', '70-36=34']
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,59 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[36, 104], Operations: ['77-41=36', '70+34=104']
Exploring Operation: 104-36=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 36*104=3744, Resulting Numbers: [3744]
3744,59 unequal: No Solution
Exploring Operation: 36+104=140, Resulting Numbers: [140]
140,59 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 |
[
14,
45,
38,
89
] | 20 | [
"45-14=31",
"89-38=51",
"51-31=20"
] | Current State: 20:[14, 45, 38, 89], Operations: []
Exploring Operation: 45-14=31, Resulting Numbers: [38, 89, 31]
Generated Node #2: [38, 89, 31] from Operation: 45-14=31
Current State: 20:[38, 89, 31], Operations: ['45-14=31']
Exploring Operation: 89-38=51, Resulting Numbers: [31, 51]
Generated Node #3: [31, 51] from Operation: 89-38=51
Current State: 20:[31, 51], Operations: ['45-14=31', '89-38=51']
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[14, 45, 38, 89], Operations: []
Exploring Operation: 45-38=7, Resulting Numbers: [14, 89, 7]
Generated Node #0,0: 20:[14, 89, 7] Operation: 45-38=7
Exploring Operation: 45-14=31, Resulting Numbers: [38, 89, 31]
Generated Node #0,1: 20:[38, 89, 31] Operation: 45-14=31
Exploring Operation: 38-14=24, Resulting Numbers: [45, 89, 24]
Generated Node #0,2: 20:[45, 89, 24] Operation: 38-14=24
Exploring Operation: 89-38=51, Resulting Numbers: [14, 45, 51]
Generated Node #0,3: 20:[14, 45, 51] Operation: 89-38=51
Exploring Operation: 89-45=44, Resulting Numbers: [14, 38, 44]
Generated Node #0,4: 20:[14, 38, 44] Operation: 89-45=44
Moving to Node #0,4
Current State: 20:[14, 38, 44], Operations: ['89-45=44']
Exploring Operation: 14+38=52, Resulting Numbers: [44, 52]
Generated Node #0,4,0: 20:[44, 52] Operation: 14+38=52
Exploring Operation: 38-14=24, Resulting Numbers: [44, 24]
Generated Node #0,4,1: 20:[44, 24] Operation: 38-14=24
Exploring Operation: 44-14=30, Resulting Numbers: [38, 30]
Generated Node #0,4,2: 20:[38, 30] Operation: 44-14=30
Exploring Operation: 14+44=58, Resulting Numbers: [38, 58]
Generated Node #0,4,3: 20:[38, 58] Operation: 14+44=58
Exploring Operation: 44-38=6, Resulting Numbers: [14, 6]
Generated Node #0,4,4: 20:[14, 6] Operation: 44-38=6
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 20:[14, 6], Operations: ['89-45=44', '44-38=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,20 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[14, 45, 38, 89], Operations: []
Exploring Operation: 89-45=44, Resulting Numbers: [14, 38, 44]
Generated Node #0,4: 20:[14, 38, 44] Operation: 89-45=44
Moving to Node #0,4
Current State: 20:[14, 38, 44], Operations: ['89-45=44']
Exploring Operation: 44-38=6, Resulting Numbers: [14, 6]
Generated Node #0,4,4: 20:[14, 6] Operation: 44-38=6
Moving to Node #0,4,4
Current State: 20:[14, 6], Operations: ['89-45=44', '44-38=6']
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
13,
87,
91,
70
] | 97 | [
"91/13=7",
"70/7=10",
"87+10=97"
] | Current State: 97:[13, 87, 91, 70], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [87, 70, 7]
Generated Node #2: [87, 70, 7] from Operation: 91/13=7
Current State: 97:[87, 70, 7], Operations: ['91/13=7']
Exploring Operation: 70/7=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 70/7=10
Current State: 97:[87, 10], Operations: ['91/13=7', '70/7=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[13, 87, 91, 70], Operations: []
Exploring Operation: 13+70=83, Resulting Numbers: [87, 91, 83]
Generated Node #0,0: 97:[87, 91, 83] Operation: 13+70=83
Exploring Operation: 13+87=100, Resulting Numbers: [91, 70, 100]
Generated Node #0,1: 97:[91, 70, 100] Operation: 13+87=100
Exploring Operation: 91-13=78, Resulting Numbers: [87, 70, 78]
Generated Node #0,2: 97:[87, 70, 78] Operation: 91-13=78
Exploring Operation: 87-13=74, Resulting Numbers: [91, 70, 74]
Generated Node #0,3: 97:[91, 70, 74] Operation: 87-13=74
Exploring Operation: 13+91=104, Resulting Numbers: [87, 70, 104]
Generated Node #0,4: 97:[87, 70, 104] Operation: 13+91=104
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[87, 91, 83], Operations: ['13+70=83']
Exploring Operation: 91+83=174, Resulting Numbers: [87, 174]
Generated Node #0,0,0: 97:[87, 174] Operation: 91+83=174
Exploring Operation: 91-83=8, Resulting Numbers: [87, 8]
Generated Node #0,0,1: 97:[87, 8] Operation: 91-83=8
Exploring Operation: 87+83=170, Resulting Numbers: [91, 170]
Generated Node #0,0,2: 97:[91, 170] Operation: 87+83=170
Exploring Operation: 87+91=178, Resulting Numbers: [83, 178]
Generated Node #0,0,3: 97:[83, 178] Operation: 87+91=178
Exploring Operation: 87-83=4, Resulting Numbers: [91, 4]
Generated Node #0,0,4: 97:[91, 4] Operation: 87-83=4
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[91, 170], Operations: ['13+70=83', '87+83=170']
Exploring Operation: 170-91=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 91+170=261, Resulting Numbers: [261]
261,97 unequal: No Solution
Exploring Operation: 91*170=15470, Resulting Numbers: [15470]
15470,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[87, 174], Operations: ['13+70=83', '91+83=174']
Exploring Operation: 87+174=261, Resulting Numbers: [261]
261,97 unequal: No Solution
Exploring Operation: 174-87=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 87*174=15138, Resulting Numbers: [15138]
15138,97 unequal: No Solution
Exploring Operation: 174/87=2, Resulting Numbers: [2]
2,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 97:[83, 178], Operations: ['13+70=83', '87+91=178']
Exploring Operation: 83+178=261, Resulting Numbers: [261]
261,97 unequal: No Solution
Exploring Operation: 178-83=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 83*178=14774, Resulting Numbers: [14774]
14774,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[87, 8], Operations: ['13+70=83', '91-83=8']
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,97 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 97:[91, 4], Operations: ['13+70=83', '87-83=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 91*4=364, Resulting Numbers: [364]
364,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[91, 70, 100], Operations: ['13+87=100']
Exploring Operation: 100-70=30, Resulting Numbers: [91, 30]
Generated Node #0,1,0: 97:[91, 30] Operation: 100-70=30
Exploring Operation: 91-70=21, Resulting Numbers: [100, 21]
Generated Node #0,1,1: 97:[100, 21] Operation: 91-70=21
Exploring Operation: 70+100=170, Resulting Numbers: [91, 170]
Generated Node #0,1,2: 97:[91, 170] Operation: 70+100=170
Exploring Operation: 100-91=9, Resulting Numbers: [70, 9]
Generated Node #0,1,3: 97:[70, 9] Operation: 100-91=9
Exploring Operation: 91+70=161, Resulting Numbers: [100, 161]
Generated Node #0,1,4: 97:[100, 161] Operation: 91+70=161
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 97:[100, 161], Operations: ['13+87=100', '91+70=161']
Exploring Operation: 100+161=261, Resulting Numbers: [261]
261,97 unequal: No Solution
Exploring Operation: 100*161=16100, Resulting Numbers: [16100]
16100,97 unequal: No Solution
Exploring Operation: 161-100=61, Resulting Numbers: [61]
61,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[91, 30], Operations: ['13+87=100', '100-70=30']
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Exploring Operation: 91+30=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 91*30=2730, Resulting Numbers: [2730]
2730,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[100, 21], Operations: ['13+87=100', '91-70=21']
Exploring Operation: 100+21=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 100-21=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 100*21=2100, Resulting Numbers: [2100]
2100,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[91, 170], Operations: ['13+87=100', '70+100=170']
Exploring Operation: 91+170=261, Resulting Numbers: [261]
261,97 unequal: No Solution
Exploring Operation: 170-91=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 91*170=15470, Resulting Numbers: [15470]
15470,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 97:[70, 9], Operations: ['13+87=100', '100-91=9']
Exploring Operation: 70+9=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Exploring Operation: 70*9=630, Resulting Numbers: [630]
630,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 97:[87, 70, 104], Operations: ['13+91=104']
Exploring Operation: 104-70=34, Resulting Numbers: [87, 34]
Generated Node #0,4,0: 97:[87, 34] Operation: 104-70=34
Exploring Operation: 104-87=17, Resulting Numbers: [70, 17]
Generated Node #0,4,1: 97:[70, 17] Operation: 104-87=17
Exploring Operation: 87+70=157, Resulting Numbers: [104, 157]
Generated Node #0,4,2: 97:[104, 157] Operation: 87+70=157
Exploring Operation: 70+104=174, Resulting Numbers: [87, 174]
Generated Node #0,4,3: 97:[87, 174] Operation: 70+104=174
Exploring Operation: 87-70=17, Resulting Numbers: [104, 17]
Generated Node #0,4,4: 97:[104, 17] Operation: 87-70=17
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 97:[104, 157], Operations: ['13+91=104', '87+70=157']
Exploring Operation: 157-104=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 104*157=16328, Resulting Numbers: [16328]
16328,97 unequal: No Solution
Exploring Operation: 104+157=261, Resulting Numbers: [261]
261,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 97:[87, 34], Operations: ['13+91=104', '104-70=34']
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 87+34=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 87*34=2958, Resulting Numbers: [2958]
2958,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 97:[87, 174], Operations: ['13+91=104', '70+104=174']
Exploring Operation: 87*174=15138, Resulting Numbers: [15138]
15138,97 unequal: No Solution
Exploring Operation: 87+174=261, Resulting Numbers: [261]
261,97 unequal: No Solution
Exploring Operation: 174/87=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 174-87=87, Resulting Numbers: [87]
87,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 97:[104, 17], Operations: ['13+91=104', '87-70=17']
Exploring Operation: 104*17=1768, Resulting Numbers: [1768]
1768,97 unequal: No Solution
Exploring Operation: 104+17=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 104-17=87, Resulting Numbers: [87]
87,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 97:[70, 17], Operations: ['13+91=104', '104-87=17']
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 70*17=1190, Resulting Numbers: [1190]
1190,97 unequal: No Solution
Exploring Operation: 70+17=87, Resulting Numbers: [87]
87,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[87, 70, 78], Operations: ['91-13=78']
Exploring Operation: 87+70=157, Resulting Numbers: [78, 157]
Generated Node #0,2,0: 97:[78, 157] Operation: 87+70=157
Exploring Operation: 87+78=165, Resulting Numbers: [70, 165]
Generated Node #0,2,1: 97:[70, 165] Operation: 87+78=165
Exploring Operation: 87-70=17, Resulting Numbers: [78, 17]
Generated Node #0,2,2: 97:[78, 17] Operation: 87-70=17
Exploring Operation: 78-70=8, Resulting Numbers: [87, 8]
Generated Node #0,2,3: 97:[87, 8] Operation: 78-70=8
Exploring Operation: 70+78=148, Resulting Numbers: [87, 148]
Generated Node #0,2,4: 97:[87, 148] Operation: 70+78=148
Moving to Node #0,2,4
Current State: 97:[87, 148], Operations: ['91-13=78', '70+78=148']
Exploring Operation: 148-87=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Exploring Operation: 87+148=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 87*148=12876, Resulting Numbers: [12876]
12876,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[78, 157], Operations: ['91-13=78', '87+70=157']
Exploring Operation: 157-78=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 78*157=12246, Resulting Numbers: [12246]
12246,97 unequal: No Solution
Exploring Operation: 78+157=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[70, 165], Operations: ['91-13=78', '87+78=165']
Exploring Operation: 70*165=11550, Resulting Numbers: [11550]
11550,97 unequal: No Solution
Exploring Operation: 70+165=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 165-70=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[78, 17], Operations: ['91-13=78', '87-70=17']
Exploring Operation: 78*17=1326, Resulting Numbers: [1326]
1326,97 unequal: No Solution
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[87, 8], Operations: ['91-13=78', '78-70=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[91, 70, 74], Operations: ['87-13=74']
Exploring Operation: 74-70=4, Resulting Numbers: [91, 4]
Generated Node #0,3,0: 97:[91, 4] Operation: 74-70=4
Exploring Operation: 91-70=21, Resulting Numbers: [74, 21]
Generated Node #0,3,1: 97:[74, 21] Operation: 91-70=21
Exploring Operation: 91+70=161, Resulting Numbers: [74, 161]
Generated Node #0,3,2: 97:[74, 161] Operation: 91+70=161
Exploring Operation: 70+74=144, Resulting Numbers: [91, 144]
Generated Node #0,3,3: 97:[91, 144] Operation: 70+74=144
Exploring Operation: 91+74=165, Resulting Numbers: [70, 165]
Generated Node #0,3,4: 97:[70, 165] Operation: 91+74=165
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 97:[91, 144], Operations: ['87-13=74', '70+74=144']
Exploring Operation: 91+144=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 144-91=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 91*144=13104, Resulting Numbers: [13104]
13104,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 97:[74, 161], Operations: ['87-13=74', '91+70=161']
Exploring Operation: 161-74=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 74*161=11914, Resulting Numbers: [11914]
11914,97 unequal: No Solution
Exploring Operation: 74+161=235, Resulting Numbers: [235]
235,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 97:[70, 165], Operations: ['87-13=74', '91+74=165']
Exploring Operation: 165-70=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 70*165=11550, Resulting Numbers: [11550]
11550,97 unequal: No Solution
Exploring Operation: 70+165=235, Resulting Numbers: [235]
235,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 97:[91, 4], Operations: ['87-13=74', '74-70=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 91*4=364, Resulting Numbers: [364]
364,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 97:[74, 21], Operations: ['87-13=74', '91-70=21']
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
66,
27,
57,
23
] | 73 | [
"66-27=39",
"57-23=34",
"39+34=73"
] | Current State: 73:[66, 27, 57, 23], Operations: []
Exploring Operation: 66-27=39, Resulting Numbers: [57, 23, 39]
Generated Node #2: [57, 23, 39] from Operation: 66-27=39
Current State: 73:[57, 23, 39], Operations: ['66-27=39']
Exploring Operation: 57-23=34, Resulting Numbers: [39, 34]
Generated Node #3: [39, 34] from Operation: 57-23=34
Current State: 73:[39, 34], Operations: ['66-27=39', '57-23=34']
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[66, 27, 57, 23], Operations: []
Exploring Operation: 27+57=84, Resulting Numbers: [66, 23, 84]
Generated Node #0,0: 73:[66, 23, 84] Operation: 27+57=84
Exploring Operation: 27+23=50, Resulting Numbers: [66, 57, 50]
Generated Node #0,1: 73:[66, 57, 50] Operation: 27+23=50
Exploring Operation: 57+23=80, Resulting Numbers: [66, 27, 80]
Generated Node #0,2: 73:[66, 27, 80] Operation: 57+23=80
Moving to Node #0,1
Current State: 73:[66, 57, 50], Operations: ['27+23=50']
Exploring Operation: 57+50=107, Resulting Numbers: [66, 107]
Generated Node #0,1,0: 73:[66, 107] Operation: 57+50=107
Exploring Operation: 66+50=116, Resulting Numbers: [57, 116]
Generated Node #0,1,1: 73:[57, 116] Operation: 66+50=116
Exploring Operation: 66+57=123, Resulting Numbers: [50, 123]
Generated Node #0,1,2: 73:[50, 123] Operation: 66+57=123
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[66, 107], Operations: ['27+23=50', '57+50=107']
Exploring Operation: 107-66=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 66*107=7062, Resulting Numbers: [7062]
7062,73 unequal: No Solution
Exploring Operation: 66+107=173, Resulting Numbers: [173]
173,73 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 #0,1,1
Current State: 73:[57, 116], Operations: ['27+23=50', '66+50=116']
Exploring Operation: 116-57=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Exploring Operation: 57+116=173, Resulting Numbers: [173]
173,73 unequal: No Solution
Exploring Operation: 57*116=6612, Resulting Numbers: [6612]
6612,73 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:[50, 123], Operations: ['27+23=50', '66+57=123']
Exploring Operation: 123-50=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[66, 27, 57, 23], Operations: []
Exploring Operation: 27+23=50, Resulting Numbers: [66, 57, 50]
Generated Node #0,1: 73:[66, 57, 50] Operation: 27+23=50
Moving to Node #0,1
Current State: 73:[66, 57, 50], Operations: ['27+23=50']
Exploring Operation: 66+57=123, Resulting Numbers: [50, 123]
Generated Node #0,1,2: 73:[50, 123] Operation: 66+57=123
Moving to Node #0,1,2
Current State: 73:[50, 123], Operations: ['27+23=50', '66+57=123']
Exploring Operation: 123-50=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
12,
86,
65,
49
] | 28 | [
"12*49=588",
"86-65=21",
"588/21=28"
] | Current State: 28:[12, 86, 65, 49], Operations: []
Exploring Operation: 12*49=588, Resulting Numbers: [86, 65, 588]
Generated Node #2: [86, 65, 588] from Operation: 12*49=588
Current State: 28:[86, 65, 588], Operations: ['12*49=588']
Exploring Operation: 86-65=21, Resulting Numbers: [588, 21]
Generated Node #3: [588, 21] from Operation: 86-65=21
Current State: 28:[588, 21], Operations: ['12*49=588', '86-65=21']
Exploring Operation: 588/21=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[12, 86, 65, 49], Operations: []
Exploring Operation: 65-12=53, Resulting Numbers: [86, 49, 53]
Generated Node #0,0: 28:[86, 49, 53] Operation: 65-12=53
Exploring Operation: 86-12=74, Resulting Numbers: [65, 49, 74]
Generated Node #0,1: 28:[65, 49, 74] Operation: 86-12=74
Exploring Operation: 86-65=21, Resulting Numbers: [12, 49, 21]
Generated Node #0,2: 28:[12, 49, 21] Operation: 86-65=21
Exploring Operation: 86-49=37, Resulting Numbers: [12, 65, 37]
Generated Node #0,3: 28:[12, 65, 37] Operation: 86-49=37
Exploring Operation: 65-49=16, Resulting Numbers: [12, 86, 16]
Generated Node #0,4: 28:[12, 86, 16] Operation: 65-49=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[12, 49, 21], Operations: ['86-65=21']
Exploring Operation: 21-12=9, Resulting Numbers: [49, 9]
Generated Node #0,2,0: 28:[49, 9] Operation: 21-12=9
Exploring Operation: 49-21=28, Resulting Numbers: [12, 28]
Generated Node #0,2,1: 28:[12, 28] Operation: 49-21=28
Exploring Operation: 12+49=61, Resulting Numbers: [21, 61]
Generated Node #0,2,2: 28:[21, 61] Operation: 12+49=61
Exploring Operation: 49-12=37, Resulting Numbers: [21, 37]
Generated Node #0,2,3: 28:[21, 37] Operation: 49-12=37
Exploring Operation: 12+21=33, Resulting Numbers: [49, 33]
Generated Node #0,2,4: 28:[49, 33] Operation: 12+21=33
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[12, 28], Operations: ['86-65=21', '49-21=28']
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,28 unequal: No Solution
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 28:[21, 37], Operations: ['86-65=21', '49-12=37']
Exploring Operation: 21*37=777, Resulting Numbers: [777]
777,28 unequal: No Solution
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[49, 9], Operations: ['86-65=21', '21-12=9']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 28:[49, 33], Operations: ['86-65=21', '12+21=33']
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 49*33=1617, Resulting Numbers: [1617]
1617,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[21, 61], Operations: ['86-65=21', '12+49=61']
Exploring Operation: 21*61=1281, Resulting Numbers: [1281]
1281,28 unequal: No Solution
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[12, 65, 37], Operations: ['86-49=37']
Exploring Operation: 12+65=77, Resulting Numbers: [37, 77]
Generated Node #0,3,0: 28:[37, 77] Operation: 12+65=77
Exploring Operation: 65-37=28, Resulting Numbers: [12, 28]
Generated Node #0,3,1: 28:[12, 28] Operation: 65-37=28
Exploring Operation: 37-12=25, Resulting Numbers: [65, 25]
Generated Node #0,3,2: 28:[65, 25] Operation: 37-12=25
Exploring Operation: 65-12=53, Resulting Numbers: [37, 53]
Generated Node #0,3,3: 28:[37, 53] Operation: 65-12=53
Exploring Operation: 12+37=49, Resulting Numbers: [65, 49]
Generated Node #0,3,4: 28:[65, 49] Operation: 12+37=49
Moving to Node #0,3,1
Current State: 28:[12, 28], Operations: ['86-49=37', '65-37=28']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,28 unequal: No Solution
Moving to Node #0,3,3
Current State: 28:[37, 53], Operations: ['86-49=37', '65-12=53']
Exploring Operation: 37*53=1961, Resulting Numbers: [1961]
1961,28 unequal: No Solution
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 37+53=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Moving to Node #0,3,2
Current State: 28:[65, 25], Operations: ['86-49=37', '37-12=25']
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Exploring Operation: 65*25=1625, Resulting Numbers: [1625]
1625,28 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Moving to Node #0,3,0
Current State: 28:[37, 77], Operations: ['86-49=37', '12+65=77']
Exploring Operation: 37*77=2849, Resulting Numbers: [2849]
2849,28 unequal: No Solution
Exploring Operation: 37+77=114, Resulting Numbers: [114]
114,28 unequal: No Solution
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Moving to Node #0,3,4
Current State: 28:[65, 49], Operations: ['86-49=37', '12+37=49']
Exploring Operation: 65+49=114, Resulting Numbers: [114]
114,28 unequal: No Solution
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 65*49=3185, Resulting Numbers: [3185]
3185,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 28:[12, 86, 16], Operations: ['65-49=16']
Exploring Operation: 16-12=4, Resulting Numbers: [86, 4]
Generated Node #0,4,0: 28:[86, 4] Operation: 16-12=4
Exploring Operation: 86-12=74, Resulting Numbers: [16, 74]
Generated Node #0,4,1: 28:[16, 74] Operation: 86-12=74
Exploring Operation: 12+86=98, Resulting Numbers: [16, 98]
Generated Node #0,4,2: 28:[16, 98] Operation: 12+86=98
Exploring Operation: 86-16=70, Resulting Numbers: [12, 70]
Generated Node #0,4,3: 28:[12, 70] Operation: 86-16=70
Exploring Operation: 12+16=28, Resulting Numbers: [86, 28]
Generated Node #0,4,4: 28:[86, 28] Operation: 12+16=28
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 28:[12, 70], Operations: ['65-49=16', '86-16=70']
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,28 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 28:[16, 74], Operations: ['65-49=16', '86-12=74']
Exploring Operation: 16*74=1184, Resulting Numbers: [1184]
1184,28 unequal: No Solution
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 16+74=90, Resulting Numbers: [90]
90,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 28:[86, 4], Operations: ['65-49=16', '16-12=4']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 86*4=344, Resulting Numbers: [344]
344,28 unequal: No Solution
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 28:[86, 28], Operations: ['65-49=16', '12+16=28']
Exploring Operation: 86*28=2408, Resulting Numbers: [2408]
2408,28 unequal: No Solution
Exploring Operation: 86+28=114, Resulting Numbers: [114]
114,28 unequal: No Solution
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 28:[16, 98], Operations: ['65-49=16', '12+86=98']
Exploring Operation: 16+98=114, Resulting Numbers: [114]
114,28 unequal: No Solution
Exploring Operation: 98-16=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 16*98=1568, Resulting Numbers: [1568]
1568,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[86, 49, 53], Operations: ['65-12=53']
Exploring Operation: 86-49=37, Resulting Numbers: [53, 37]
Generated Node #0,0,0: 28:[53, 37] Operation: 86-49=37
Exploring Operation: 86+53=139, Resulting Numbers: [49, 139]
Generated Node #0,0,1: 28:[49, 139] Operation: 86+53=139
Exploring Operation: 86+49=135, Resulting Numbers: [53, 135]
Generated Node #0,0,2: 28:[53, 135] Operation: 86+49=135
Exploring Operation: 53-49=4, Resulting Numbers: [86, 4]
Generated Node #0,0,3: 28:[86, 4] Operation: 53-49=4
Exploring Operation: 86-53=33, Resulting Numbers: [49, 33]
Generated Node #0,0,4: 28:[49, 33] Operation: 86-53=33
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 28:[49, 33], Operations: ['65-12=53', '86-53=33']
Exploring Operation: 49*33=1617, Resulting Numbers: [1617]
1617,28 unequal: No Solution
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[53, 37], Operations: ['65-12=53', '86-49=37']
Exploring Operation: 53+37=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 53*37=1961, Resulting Numbers: [1961]
1961,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 28:[86, 4], Operations: ['65-12=53', '53-49=4']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 86*4=344, Resulting Numbers: [344]
344,28 unequal: No Solution
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[49, 139], Operations: ['65-12=53', '86+53=139']
Exploring Operation: 49*139=6811, Resulting Numbers: [6811]
6811,28 unequal: No Solution
Exploring Operation: 139-49=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Exploring Operation: 49+139=188, Resulting Numbers: [188]
188,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 28:[53, 135], Operations: ['65-12=53', '86+49=135']
Exploring Operation: 53+135=188, Resulting Numbers: [188]
188,28 unequal: No Solution
Exploring Operation: 53*135=7155, Resulting Numbers: [7155]
7155,28 unequal: No Solution
Exploring Operation: 135-53=82, Resulting Numbers: [82]
82,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[65, 49, 74], Operations: ['86-12=74']
Exploring Operation: 65-49=16, Resulting Numbers: [74, 16]
Generated Node #0,1,0: 28:[74, 16] Operation: 65-49=16
Exploring Operation: 65+49=114, Resulting Numbers: [74, 114]
Generated Node #0,1,1: 28:[74, 114] Operation: 65+49=114
Exploring Operation: 74-65=9, Resulting Numbers: [49, 9]
Generated Node #0,1,2: 28:[49, 9] Operation: 74-65=9
Exploring Operation: 74-49=25, Resulting Numbers: [65, 25]
Generated Node #0,1,3: 28:[65, 25] Operation: 74-49=25
Exploring Operation: 65+74=139, Resulting Numbers: [49, 139]
Generated Node #0,1,4: 28:[49, 139] Operation: 65+74=139
Moving to Node #0,1,2
Current State: 28:[49, 9], Operations: ['86-12=74', '74-65=9']
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,28 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Moving to Node #0,1,3
Current State: 28:[65, 25], Operations: ['86-12=74', '74-49=25']
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Exploring Operation: 65*25=1625, Resulting Numbers: [1625]
1625,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[74, 16], Operations: ['86-12=74', '65-49=16']
Exploring Operation: 74*16=1184, Resulting Numbers: [1184]
1184,28 unequal: No Solution
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 74+16=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[74, 114], Operations: ['86-12=74', '65+49=114']
Exploring Operation: 74+114=188, Resulting Numbers: [188]
188,28 unequal: No Solution
Exploring Operation: 114-74=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Exploring Operation: 74*114=8436, Resulting Numbers: [8436]
8436,28 unequal: No Solution
Moving to Node #0,1,4
Current State: 28:[49, 139], Operations: ['86-12=74', '65+74=139']
Exploring Operation: 139-49=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Exploring Operation: 49*139=6811, Resulting Numbers: [6811]
6811,28 unequal: No Solution
Exploring Operation: 49+139=188, Resulting Numbers: [188]
188,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
54,
23,
20,
8
] | 89 | [
"54+23=77",
"20-8=12",
"77+12=89"
] | Current State: 89:[54, 23, 20, 8], Operations: []
Exploring Operation: 54+23=77, Resulting Numbers: [20, 8, 77]
Generated Node #2: [20, 8, 77] from Operation: 54+23=77
Current State: 89:[20, 8, 77], Operations: ['54+23=77']
Exploring Operation: 20-8=12, Resulting Numbers: [77, 12]
Generated Node #3: [77, 12] from Operation: 20-8=12
Current State: 89:[77, 12], Operations: ['54+23=77', '20-8=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[54, 23, 20, 8], Operations: []
Exploring Operation: 54+23=77, Resulting Numbers: [20, 8, 77]
Generated Node #0,0: 89:[20, 8, 77] Operation: 54+23=77
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[20, 8, 77], Operations: ['54+23=77']
Exploring Operation: 20+8=28, Resulting Numbers: [77, 28]
Generated Node #0,0,0: 89:[77, 28] Operation: 20+8=28
Moving to Node #0,0,0
Current State: 89:[77, 28], Operations: ['54+23=77', '20+8=28']
Exploring Operation: 77+28=105, Resulting Numbers: [105]
105,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
85,
80,
68,
82
] | 36 | [
"85-82=3",
"80-68=12",
"3*12=36"
] | Current State: 36:[85, 80, 68, 82], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [80, 68, 3]
Generated Node #2: [80, 68, 3] from Operation: 85-82=3
Current State: 36:[80, 68, 3], Operations: ['85-82=3']
Exploring Operation: 80-68=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 80-68=12
Current State: 36:[3, 12], Operations: ['85-82=3', '80-68=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[85, 80, 68, 82], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [80, 68, 3]
Generated Node #0,0: 36:[80, 68, 3] Operation: 85-82=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[80, 68, 3], Operations: ['85-82=3']
Exploring Operation: 80-68=12, Resulting Numbers: [3, 12]
Generated Node #0,0,0: 36:[3, 12] Operation: 80-68=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[3, 12], Operations: ['85-82=3', '80-68=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[85, 80, 68, 82], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [80, 68, 3]
Generated Node #0,0: 36:[80, 68, 3] Operation: 85-82=3
Moving to Node #0,0
Current State: 36:[80, 68, 3], Operations: ['85-82=3']
Exploring Operation: 80-68=12, Resulting Numbers: [3, 12]
Generated Node #0,0,0: 36:[3, 12] Operation: 80-68=12
Moving to Node #0,0,0
Current State: 36:[3, 12], Operations: ['85-82=3', '80-68=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
70,
55,
26,
98
] | 53 | [
"70+55=125",
"98-26=72",
"125-72=53"
] | Current State: 53:[70, 55, 26, 98], Operations: []
Exploring Operation: 70+55=125, Resulting Numbers: [26, 98, 125]
Generated Node #2: [26, 98, 125] from Operation: 70+55=125
Current State: 53:[26, 98, 125], Operations: ['70+55=125']
Exploring Operation: 98-26=72, Resulting Numbers: [125, 72]
Generated Node #3: [125, 72] from Operation: 98-26=72
Current State: 53:[125, 72], Operations: ['70+55=125', '98-26=72']
Exploring Operation: 125-72=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[70, 55, 26, 98], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [70, 26, 43]
Generated Node #0,0: 53:[70, 26, 43] Operation: 98-55=43
Exploring Operation: 98-70=28, Resulting Numbers: [55, 26, 28]
Generated Node #0,1: 53:[55, 26, 28] Operation: 98-70=28
Exploring Operation: 98-26=72, Resulting Numbers: [70, 55, 72]
Generated Node #0,2: 53:[70, 55, 72] Operation: 98-26=72
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[70, 55, 72], Operations: ['98-26=72']
Exploring Operation: 72-70=2, Resulting Numbers: [55, 2]
Generated Node #0,2,0: 53:[55, 2] Operation: 72-70=2
Exploring Operation: 70-55=15, Resulting Numbers: [72, 15]
Generated Node #0,2,1: 53:[72, 15] Operation: 70-55=15
Exploring Operation: 72-55=17, Resulting Numbers: [70, 17]
Generated Node #0,2,2: 53:[70, 17] Operation: 72-55=17
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 53:[55, 2], Operations: ['98-26=72', '72-70=2']
Exploring Operation: 55*2=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Exploring Operation: 55+2=57, Resulting Numbers: [57]
57,53 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[70, 55, 26, 98], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [70, 55, 72]
Generated Node #0,2: 53:[70, 55, 72] Operation: 98-26=72
Moving to Node #0,2
Current State: 53:[70, 55, 72], Operations: ['98-26=72']
Exploring Operation: 72-70=2, Resulting Numbers: [55, 2]
Generated Node #0,2,0: 53:[55, 2] Operation: 72-70=2
Moving to Node #0,2,0
Current State: 53:[55, 2], Operations: ['98-26=72', '72-70=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
92,
54,
43,
32
] | 71 | [
"92+54=146",
"43+32=75",
"146-75=71"
] | Current State: 71:[92, 54, 43, 32], Operations: []
Exploring Operation: 92+54=146, Resulting Numbers: [43, 32, 146]
Generated Node #2: [43, 32, 146] from Operation: 92+54=146
Current State: 71:[43, 32, 146], Operations: ['92+54=146']
Exploring Operation: 43+32=75, Resulting Numbers: [146, 75]
Generated Node #3: [146, 75] from Operation: 43+32=75
Current State: 71:[146, 75], Operations: ['92+54=146', '43+32=75']
Exploring Operation: 146-75=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[92, 54, 43, 32], Operations: []
Exploring Operation: 43+32=75, Resulting Numbers: [92, 54, 75]
Generated Node #0,0: 71:[92, 54, 75] Operation: 43+32=75
Exploring Operation: 92-32=60, Resulting Numbers: [54, 43, 60]
Generated Node #0,1: 71:[54, 43, 60] Operation: 92-32=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[92, 54, 75], Operations: ['43+32=75']
Exploring Operation: 92-54=38, Resulting Numbers: [75, 38]
Generated Node #0,0,0: 71:[75, 38] Operation: 92-54=38
Exploring Operation: 92-75=17, Resulting Numbers: [54, 17]
Generated Node #0,0,1: 71:[54, 17] Operation: 92-75=17
Moving to Node #0,0,0
Current State: 71:[75, 38], Operations: ['43+32=75', '92-54=38']
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,71 unequal: No Solution
Exploring Operation: 75+38=113, Resulting Numbers: [113]
113,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[54, 17], Operations: ['43+32=75', '92-75=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,71 unequal: No Solution
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[92, 54, 43, 32], Operations: []
Exploring Operation: 43+32=75, Resulting Numbers: [92, 54, 75]
Generated Node #0,0: 71:[92, 54, 75] Operation: 43+32=75
Moving to Node #0,0
Current State: 71:[92, 54, 75], Operations: ['43+32=75']
Exploring Operation: 92-75=17, Resulting Numbers: [54, 17]
Generated Node #0,0,1: 71:[54, 17] Operation: 92-75=17
Moving to Node #0,0,1
Current State: 71:[54, 17], Operations: ['43+32=75', '92-75=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
58,
36,
69,
99
] | 52 | [
"58-36=22",
"99-69=30",
"22+30=52"
] | Current State: 52:[58, 36, 69, 99], Operations: []
Exploring Operation: 58-36=22, Resulting Numbers: [69, 99, 22]
Generated Node #2: [69, 99, 22] from Operation: 58-36=22
Current State: 52:[69, 99, 22], Operations: ['58-36=22']
Exploring Operation: 99-69=30, Resulting Numbers: [22, 30]
Generated Node #3: [22, 30] from Operation: 99-69=30
Current State: 52:[22, 30], Operations: ['58-36=22', '99-69=30']
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[58, 36, 69, 99], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [58, 69, 63]
Generated Node #0,0: 52:[58, 69, 63] Operation: 99-36=63
Exploring Operation: 99-58=41, Resulting Numbers: [36, 69, 41]
Generated Node #0,1: 52:[36, 69, 41] Operation: 99-58=41
Exploring Operation: 69-58=11, Resulting Numbers: [36, 99, 11]
Generated Node #0,2: 52:[36, 99, 11] Operation: 69-58=11
Exploring Operation: 99-69=30, Resulting Numbers: [58, 36, 30]
Generated Node #0,3: 52:[58, 36, 30] Operation: 99-69=30
Moving to Node #0,3
Current State: 52:[58, 36, 30], Operations: ['99-69=30']
Exploring Operation: 36+30=66, Resulting Numbers: [58, 66]
Generated Node #0,3,0: 52:[58, 66] Operation: 36+30=66
Exploring Operation: 58-36=22, Resulting Numbers: [30, 22]
Generated Node #0,3,1: 52:[30, 22] Operation: 58-36=22
Exploring Operation: 58-30=28, Resulting Numbers: [36, 28]
Generated Node #0,3,2: 52:[36, 28] Operation: 58-30=28
Exploring Operation: 36-30=6, Resulting Numbers: [58, 6]
Generated Node #0,3,3: 52:[58, 6] Operation: 36-30=6
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[30, 22], Operations: ['99-69=30', '58-36=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[58, 36, 69, 99], Operations: []
Exploring Operation: 99-69=30, Resulting Numbers: [58, 36, 30]
Generated Node #0,3: 52:[58, 36, 30] Operation: 99-69=30
Moving to Node #0,3
Current State: 52:[58, 36, 30], Operations: ['99-69=30']
Exploring Operation: 58-36=22, Resulting Numbers: [30, 22]
Generated Node #0,3,1: 52:[30, 22] Operation: 58-36=22
Moving to Node #0,3,1
Current State: 52:[30, 22], Operations: ['99-69=30', '58-36=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
6,
22,
18,
1
] | 86 | [
"6*18=108",
"22*1=22",
"108-22=86"
] | Current State: 86:[6, 22, 18, 1], Operations: []
Exploring Operation: 6*18=108, Resulting Numbers: [22, 1, 108]
Generated Node #2: [22, 1, 108] from Operation: 6*18=108
Current State: 86:[22, 1, 108], Operations: ['6*18=108']
Exploring Operation: 22*1=22, Resulting Numbers: [108, 22]
Generated Node #3: [108, 22] from Operation: 22*1=22
Current State: 86:[108, 22], Operations: ['6*18=108', '22*1=22']
Exploring Operation: 108-22=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[6, 22, 18, 1], Operations: []
Exploring Operation: 22+18=40, Resulting Numbers: [6, 1, 40]
Generated Node #0,0: 86:[6, 1, 40] Operation: 22+18=40
Exploring Operation: 22-18=4, Resulting Numbers: [6, 1, 4]
Generated Node #0,1: 86:[6, 1, 4] Operation: 22-18=4
Moving to Node #0,1
Current State: 86:[6, 1, 4], Operations: ['22-18=4']
Exploring Operation: 6-4=2, Resulting Numbers: [1, 2]
Generated Node #0,1,0: 86:[1, 2] Operation: 6-4=2
Exploring Operation: 6-1=5, Resulting Numbers: [4, 5]
Generated Node #0,1,1: 86:[4, 5] Operation: 6-1=5
Moving to Node #0,0
Current State: 86:[6, 1, 40], Operations: ['22+18=40']
Exploring Operation: 6-1=5, Resulting Numbers: [40, 5]
Generated Node #0,0,0: 86:[40, 5] Operation: 6-1=5
Exploring Operation: 6+40=46, Resulting Numbers: [1, 46]
Generated Node #0,0,1: 86:[1, 46] Operation: 6+40=46
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[1, 46], Operations: ['22+18=40', '6+40=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[40, 5], Operations: ['22+18=40', '6-1=5']
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,86 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: 86:[1, 2], Operations: ['22-18=4', '6-4=2']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[4, 5], Operations: ['22-18=4', '6-1=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,86 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,86 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
27,
22,
3,
71
] | 32 | [
"27*3=81",
"71-22=49",
"81-49=32"
] | Current State: 32:[27, 22, 3, 71], Operations: []
Exploring Operation: 27*3=81, Resulting Numbers: [22, 71, 81]
Generated Node #2: [22, 71, 81] from Operation: 27*3=81
Current State: 32:[22, 71, 81], Operations: ['27*3=81']
Exploring Operation: 71-22=49, Resulting Numbers: [81, 49]
Generated Node #3: [81, 49] from Operation: 71-22=49
Current State: 32:[81, 49], Operations: ['27*3=81', '71-22=49']
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[27, 22, 3, 71], Operations: []
Exploring Operation: 71-22=49, Resulting Numbers: [27, 3, 49]
Generated Node #0,0: 32:[27, 3, 49] Operation: 71-22=49
Exploring Operation: 71-27=44, Resulting Numbers: [22, 3, 44]
Generated Node #0,1: 32:[22, 3, 44] Operation: 71-27=44
Moving to Node #0,1
Current State: 32:[22, 3, 44], Operations: ['71-27=44']
Exploring Operation: 44/22=2, Resulting Numbers: [3, 2]
Generated Node #0,1,0: 32:[3, 2] Operation: 44/22=2
Exploring Operation: 44-22=22, Resulting Numbers: [3, 22]
Generated Node #0,1,1: 32:[3, 22] Operation: 44-22=22
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[3, 2], Operations: ['71-27=44', '44/22=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,32 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[3, 22], Operations: ['71-27=44', '44-22=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,32 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,32 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: 32:[27, 3, 49], Operations: ['71-22=49']
Exploring Operation: 49-27=22, Resulting Numbers: [3, 22]
Generated Node #0,0,0: 32:[3, 22] Operation: 49-27=22
Exploring Operation: 27/3=9, Resulting Numbers: [49, 9]
Generated Node #0,0,1: 32:[49, 9] Operation: 27/3=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[3, 22], Operations: ['71-22=49', '49-27=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,32 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[49, 9], Operations: ['71-22=49', '27/3=9']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
18,
59,
45,
60
] | 62 | [
"18+59=77",
"60-45=15",
"77-15=62"
] | Current State: 62:[18, 59, 45, 60], Operations: []
Exploring Operation: 18+59=77, Resulting Numbers: [45, 60, 77]
Generated Node #2: [45, 60, 77] from Operation: 18+59=77
Current State: 62:[45, 60, 77], Operations: ['18+59=77']
Exploring Operation: 60-45=15, Resulting Numbers: [77, 15]
Generated Node #3: [77, 15] from Operation: 60-45=15
Current State: 62:[77, 15], Operations: ['18+59=77', '60-45=15']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[18, 59, 45, 60], Operations: []
Exploring Operation: 18+45=63, Resulting Numbers: [59, 60, 63]
Generated Node #0,0: 62:[59, 60, 63] Operation: 18+45=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[59, 60, 63], Operations: ['18+45=63']
Exploring Operation: 60-59=1, Resulting Numbers: [63, 1]
Generated Node #0,0,0: 62:[63, 1] Operation: 60-59=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[63, 1], Operations: ['18+45=63', '60-59=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[18, 59, 45, 60], Operations: []
Exploring Operation: 18+45=63, Resulting Numbers: [59, 60, 63]
Generated Node #0,0: 62:[59, 60, 63] Operation: 18+45=63
Moving to Node #0,0
Current State: 62:[59, 60, 63], Operations: ['18+45=63']
Exploring Operation: 60-59=1, Resulting Numbers: [63, 1]
Generated Node #0,0,0: 62:[63, 1] Operation: 60-59=1
Moving to Node #0,0,0
Current State: 62:[63, 1], Operations: ['18+45=63', '60-59=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
83,
26,
26,
70
] | 65 | [
"83+26=109",
"70-26=44",
"109-44=65"
] | Current State: 65:[83, 26, 26, 70], Operations: []
Exploring Operation: 83+26=109, Resulting Numbers: [70, 109]
Generated Node #2: [70, 109] from Operation: 83+26=109
Current State: 65:[70, 109], Operations: ['83+26=109']
Exploring Operation: 70-26=44, Resulting Numbers: [109, 44]
Generated Node #3: [109, 44] from Operation: 70-26=44
Current State: 65:[109, 44], Operations: ['83+26=109', '70-26=44']
Exploring Operation: 109-44=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[83, 26, 26, 70], Operations: []
Exploring Operation: 83-26=57, Resulting Numbers: [26, 70, 57]
Generated Node #0,0: 65:[26, 70, 57] Operation: 83-26=57
Exploring Operation: 83-26=57, Resulting Numbers: [26, 70, 57]
Generated Node #0,1: 65:[26, 70, 57] Operation: 83-26=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[26, 70, 57], Operations: ['83-26=57']
Exploring Operation: 26+57=83, Resulting Numbers: [70, 83]
Generated Node #0,0,0: 65:[70, 83] Operation: 26+57=83
Exploring Operation: 70-57=13, Resulting Numbers: [26, 13]
Generated Node #0,0,1: 65:[26, 13] Operation: 70-57=13
Moving to Node #0,0,1
Current State: 65:[26, 13], Operations: ['83-26=57', '70-57=13']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[70, 83], Operations: ['83-26=57', '26+57=83']
Exploring Operation: 70+83=153, Resulting Numbers: [153]
153,65 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[26, 70, 57], Operations: ['83-26=57']
Exploring Operation: 70-57=13, Resulting Numbers: [26, 13]
Generated Node #0,1,0: 65:[26, 13] Operation: 70-57=13
Exploring Operation: 26+57=83, Resulting Numbers: [70, 83]
Generated Node #0,1,1: 65:[70, 83] Operation: 26+57=83
Moving to Node #0,1,0
Current State: 65:[26, 13], Operations: ['83-26=57', '70-57=13']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[70, 83], Operations: ['83-26=57', '26+57=83']
Exploring Operation: 70+83=153, Resulting Numbers: [153]
153,65 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,65 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 |
[
40,
12,
9,
55
] | 92 | [
"40-12=28",
"9+55=64",
"28+64=92"
] | Current State: 92:[40, 12, 9, 55], Operations: []
Exploring Operation: 40-12=28, Resulting Numbers: [9, 55, 28]
Generated Node #2: [9, 55, 28] from Operation: 40-12=28
Current State: 92:[9, 55, 28], Operations: ['40-12=28']
Exploring Operation: 9+55=64, Resulting Numbers: [28, 64]
Generated Node #3: [28, 64] from Operation: 9+55=64
Current State: 92:[28, 64], Operations: ['40-12=28', '9+55=64']
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[40, 12, 9, 55], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [40, 12, 46]
Generated Node #0,0: 92:[40, 12, 46] Operation: 55-9=46
Exploring Operation: 55-12=43, Resulting Numbers: [40, 9, 43]
Generated Node #0,1: 92:[40, 9, 43] Operation: 55-12=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[40, 12, 46], Operations: ['55-9=46']
Exploring Operation: 40-12=28, Resulting Numbers: [46, 28]
Generated Node #0,0,0: 92:[46, 28] Operation: 40-12=28
Exploring Operation: 40+12=52, Resulting Numbers: [46, 52]
Generated Node #0,0,1: 92:[46, 52] Operation: 40+12=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[46, 28], Operations: ['55-9=46', '40-12=28']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[46, 52], Operations: ['55-9=46', '40+12=52']
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,92 unequal: No Solution
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[40, 9, 43], Operations: ['55-12=43']
Exploring Operation: 40+9=49, Resulting Numbers: [43, 49]
Generated Node #0,1,0: 92:[43, 49] Operation: 40+9=49
Exploring Operation: 43-40=3, Resulting Numbers: [9, 3]
Generated Node #0,1,1: 92:[9, 3] Operation: 43-40=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[43, 49], Operations: ['55-12=43', '40+9=49']
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[40, 12, 9, 55], Operations: []
Exploring Operation: 55-12=43, Resulting Numbers: [40, 9, 43]
Generated Node #0,1: 92:[40, 9, 43] Operation: 55-12=43
Moving to Node #0,1
Current State: 92:[40, 9, 43], Operations: ['55-12=43']
Exploring Operation: 40+9=49, Resulting Numbers: [43, 49]
Generated Node #0,1,0: 92:[43, 49] Operation: 40+9=49
Moving to Node #0,1,0
Current State: 92:[43, 49], Operations: ['55-12=43', '40+9=49']
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
73,
77,
57,
9
] | 21 | [
"77-73=4",
"9*4=36",
"57-36=21"
] | Current State: 21:[73, 77, 57, 9], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [57, 9, 4]
Generated Node #2: [57, 9, 4] from Operation: 77-73=4
Current State: 21:[57, 9, 4], Operations: ['77-73=4']
Exploring Operation: 9*4=36, Resulting Numbers: [57, 36]
Generated Node #3: [57, 36] from Operation: 9*4=36
Current State: 21:[57, 36], Operations: ['77-73=4', '9*4=36']
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[73, 77, 57, 9], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [57, 9, 4]
Generated Node #0,0: 21:[57, 9, 4] Operation: 77-73=4
Exploring Operation: 73-9=64, Resulting Numbers: [77, 57, 64]
Generated Node #0,1: 21:[77, 57, 64] Operation: 73-9=64
Exploring Operation: 77-9=68, Resulting Numbers: [73, 57, 68]
Generated Node #0,2: 21:[73, 57, 68] Operation: 77-9=68
Exploring Operation: 73-57=16, Resulting Numbers: [77, 9, 16]
Generated Node #0,3: 21:[77, 9, 16] Operation: 73-57=16
Exploring Operation: 77-57=20, Resulting Numbers: [73, 9, 20]
Generated Node #0,4: 21:[73, 9, 20] Operation: 77-57=20
Moving to Node #0,0
Current State: 21:[57, 9, 4], Operations: ['77-73=4']
Exploring Operation: 57-4=53, Resulting Numbers: [9, 53]
Generated Node #0,0,0: 21:[9, 53] Operation: 57-4=53
Exploring Operation: 9-4=5, Resulting Numbers: [57, 5]
Generated Node #0,0,1: 21:[57, 5] Operation: 9-4=5
Exploring Operation: 57+4=61, Resulting Numbers: [9, 61]
Generated Node #0,0,2: 21:[9, 61] Operation: 57+4=61
Exploring Operation: 57-9=48, Resulting Numbers: [4, 48]
Generated Node #0,0,3: 21:[4, 48] Operation: 57-9=48
Exploring Operation: 9+4=13, Resulting Numbers: [57, 13]
Generated Node #0,0,4: 21:[57, 13] Operation: 9+4=13
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 21:[4, 48], Operations: ['77-73=4', '57-9=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 4*48=192, Resulting Numbers: [192]
192,21 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[9, 53], Operations: ['77-73=4', '57-4=53']
Exploring Operation: 9*53=477, Resulting Numbers: [477]
477,21 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 21:[57, 5], Operations: ['77-73=4', '9-4=5']
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,21 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,21 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 21:[9, 61], Operations: ['77-73=4', '57+4=61']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,21 unequal: No Solution
Exploring Operation: 9*61=549, Resulting Numbers: [549]
549,21 unequal: No Solution
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 21:[57, 13], Operations: ['77-73=4', '9+4=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,21 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: 21:[73, 9, 20], Operations: ['77-57=20']
Exploring Operation: 9+20=29, Resulting Numbers: [73, 29]
Generated Node #0,4,0: 21:[73, 29] Operation: 9+20=29
Exploring Operation: 73-9=64, Resulting Numbers: [20, 64]
Generated Node #0,4,1: 21:[20, 64] Operation: 73-9=64
Exploring Operation: 73-20=53, Resulting Numbers: [9, 53]
Generated Node #0,4,2: 21:[9, 53] Operation: 73-20=53
Exploring Operation: 73+9=82, Resulting Numbers: [20, 82]
Generated Node #0,4,3: 21:[20, 82] Operation: 73+9=82
Exploring Operation: 20-9=11, Resulting Numbers: [73, 11]
Generated Node #0,4,4: 21:[73, 11] Operation: 20-9=11
Moving to Node #0,3
Current State: 21:[77, 9, 16], Operations: ['73-57=16']
Exploring Operation: 16-9=7, Resulting Numbers: [77, 7]
Generated Node #0,3,0: 21:[77, 7] Operation: 16-9=7
Exploring Operation: 77-16=61, Resulting Numbers: [9, 61]
Generated Node #0,3,1: 21:[9, 61] Operation: 77-16=61
Exploring Operation: 77-9=68, Resulting Numbers: [16, 68]
Generated Node #0,3,2: 21:[16, 68] Operation: 77-9=68
Exploring Operation: 9+16=25, Resulting Numbers: [77, 25]
Generated Node #0,3,3: 21:[77, 25] Operation: 9+16=25
Exploring Operation: 77+9=86, Resulting Numbers: [16, 86]
Generated Node #0,3,4: 21:[16, 86] Operation: 77+9=86
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 21:[9, 61], Operations: ['73-57=16', '77-16=61']
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 9*61=549, Resulting Numbers: [549]
549,21 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 21:[16, 68], Operations: ['73-57=16', '77-9=68']
Exploring Operation: 16+68=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 16*68=1088, Resulting Numbers: [1088]
1088,21 unequal: No Solution
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 21:[77, 7], Operations: ['73-57=16', '16-9=7']
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,21 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 21:[77, 25], Operations: ['73-57=16', '9+16=25']
Exploring Operation: 77*25=1925, Resulting Numbers: [1925]
1925,21 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,21 unequal: No Solution
Exploring Operation: 77+25=102, Resulting Numbers: [102]
102,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 21:[16, 86], Operations: ['73-57=16', '77+9=86']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 16+86=102, Resulting Numbers: [102]
102,21 unequal: No Solution
Exploring Operation: 16*86=1376, Resulting Numbers: [1376]
1376,21 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: 21:[77, 57, 64], Operations: ['73-9=64']
Exploring Operation: 64-57=7, Resulting Numbers: [77, 7]
Generated Node #0,1,0: 21:[77, 7] Operation: 64-57=7
Exploring Operation: 77-57=20, Resulting Numbers: [64, 20]
Generated Node #0,1,1: 21:[64, 20] Operation: 77-57=20
Exploring Operation: 77+57=134, Resulting Numbers: [64, 134]
Generated Node #0,1,2: 21:[64, 134] Operation: 77+57=134
Exploring Operation: 77-64=13, Resulting Numbers: [57, 13]
Generated Node #0,1,3: 21:[57, 13] Operation: 77-64=13
Exploring Operation: 77+64=141, Resulting Numbers: [57, 141]
Generated Node #0,1,4: 21:[57, 141] Operation: 77+64=141
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 21:[57, 13], Operations: ['73-9=64', '77-64=13']
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,21 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[64, 20], Operations: ['73-9=64', '77-57=20']
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,21 unequal: No Solution
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[77, 7], Operations: ['73-9=64', '64-57=7']
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,21 unequal: No Solution
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,21 unequal: No Solution
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 21:[64, 134], Operations: ['73-9=64', '77+57=134']
Exploring Operation: 134-64=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 64+134=198, Resulting Numbers: [198]
198,21 unequal: No Solution
Exploring Operation: 64*134=8576, Resulting Numbers: [8576]
8576,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 21:[57, 141], Operations: ['73-9=64', '77+64=141']
Exploring Operation: 57+141=198, Resulting Numbers: [198]
198,21 unequal: No Solution
Exploring Operation: 141-57=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 57*141=8037, Resulting Numbers: [8037]
8037,21 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: 21:[73, 57, 68], Operations: ['77-9=68']
Exploring Operation: 68-57=11, Resulting Numbers: [73, 11]
Generated Node #0,2,0: 21:[73, 11] Operation: 68-57=11
Exploring Operation: 73-57=16, Resulting Numbers: [68, 16]
Generated Node #0,2,1: 21:[68, 16] Operation: 73-57=16
Exploring Operation: 73+68=141, Resulting Numbers: [57, 141]
Generated Node #0,2,2: 21:[57, 141] Operation: 73+68=141
Exploring Operation: 73-68=5, Resulting Numbers: [57, 5]
Generated Node #0,2,3: 21:[57, 5] Operation: 73-68=5
Exploring Operation: 73+57=130, Resulting Numbers: [68, 130]
Generated Node #0,2,4: 21:[68, 130] Operation: 73+57=130
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 21:[57, 5], Operations: ['77-9=68', '73-68=5']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,21 unequal: No Solution
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,21 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[68, 16], Operations: ['77-9=68', '73-57=16']
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,21 unequal: No Solution
Exploring Operation: 68*16=1088, Resulting Numbers: [1088]
1088,21 unequal: No Solution
Exploring Operation: 68+16=84, Resulting Numbers: [84]
84,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[73, 11], Operations: ['77-9=68', '68-57=11']
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,21 unequal: No Solution
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[57, 141], Operations: ['77-9=68', '73+68=141']
Exploring Operation: 141-57=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 57*141=8037, Resulting Numbers: [8037]
8037,21 unequal: No Solution
Exploring Operation: 57+141=198, Resulting Numbers: [198]
198,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 21:[68, 130], Operations: ['77-9=68', '73+57=130']
Exploring Operation: 68+130=198, Resulting Numbers: [198]
198,21 unequal: No Solution
Exploring Operation: 130-68=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Exploring Operation: 68*130=8840, Resulting Numbers: [8840]
8840,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 21:[9, 53], Operations: ['77-57=20', '73-20=53']
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 9*53=477, Resulting Numbers: [477]
477,21 unequal: No Solution
Moving to Node #0,4,1
Current State: 21:[20, 64], Operations: ['77-57=20', '73-9=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 20*64=1280, Resulting Numbers: [1280]
1280,21 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Moving to Node #0,4,4
Current State: 21:[73, 11], Operations: ['77-57=20', '20-9=11']
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,21 unequal: No Solution
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,21 unequal: No Solution
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,21 unequal: No Solution
Moving to Node #0,4,0
Current State: 21:[73, 29], Operations: ['77-57=20', '9+20=29']
Exploring Operation: 73+29=102, Resulting Numbers: [102]
102,21 unequal: No Solution
Exploring Operation: 73*29=2117, Resulting Numbers: [2117]
2117,21 unequal: No Solution
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Moving to Node #0,4,3
Current State: 21:[20, 82], Operations: ['77-57=20', '73+9=82']
Exploring Operation: 20*82=1640, Resulting Numbers: [1640]
1640,21 unequal: No Solution
Exploring Operation: 20+82=102, Resulting Numbers: [102]
102,21 unequal: No Solution
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,21 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
5,
2,
22,
25
] | 12 | [
"25-5=20",
"20/2=10",
"22-10=12"
] | Current State: 12:[5, 2, 22, 25], Operations: []
Exploring Operation: 25-5=20, Resulting Numbers: [2, 22, 20]
Generated Node #2: [2, 22, 20] from Operation: 25-5=20
Current State: 12:[2, 22, 20], Operations: ['25-5=20']
Exploring Operation: 20/2=10, Resulting Numbers: [22, 10]
Generated Node #3: [22, 10] from Operation: 20/2=10
Current State: 12:[22, 10], Operations: ['25-5=20', '20/2=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[5, 2, 22, 25], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [5, 2, 3]
Generated Node #0,0: 12:[5, 2, 3] Operation: 25-22=3
Exploring Operation: 25/5=5, Resulting Numbers: [2, 22, 5]
Generated Node #0,1: 12:[2, 22, 5] Operation: 25/5=5
Moving to Node #0,0
Current State: 12:[5, 2, 3], Operations: ['25-22=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 12:[2, 2] Operation: 5-3=2
Exploring Operation: 5-2=3, Resulting Numbers: [3, 3]
Generated Node #0,0,1: 12:[3, 3] Operation: 5-2=3
Moving to Node #0,1
Current State: 12:[2, 22, 5], Operations: ['25/5=5']
Exploring Operation: 22-5=17, Resulting Numbers: [2, 17]
Generated Node #0,1,0: 12:[2, 17] Operation: 22-5=17
Exploring Operation: 22/2=11, Resulting Numbers: [5, 11]
Generated Node #0,1,1: 12:[5, 11] Operation: 22/2=11
Moving to Node #0,0,0
Current State: 12:[2, 2], Operations: ['25-22=3', '5-3=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[3, 3], Operations: ['25-22=3', '5-2=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[5, 11], Operations: ['25/5=5', '22/2=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[2, 17], Operations: ['25/5=5', '22-5=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,12 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
64,
56,
82,
3
] | 14 | [
"82-56=26",
"3*26=78",
"78-64=14"
] | Current State: 14:[64, 56, 82, 3], Operations: []
Exploring Operation: 82-56=26, Resulting Numbers: [64, 3, 26]
Generated Node #2: [64, 3, 26] from Operation: 82-56=26
Current State: 14:[64, 3, 26], Operations: ['82-56=26']
Exploring Operation: 3*26=78, Resulting Numbers: [64, 78]
Generated Node #3: [64, 78] from Operation: 3*26=78
Current State: 14:[64, 78], Operations: ['82-56=26', '3*26=78']
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[64, 56, 82, 3], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [82, 3, 8]
Generated Node #0,0: 14:[82, 3, 8] Operation: 64-56=8
Exploring Operation: 82-64=18, Resulting Numbers: [56, 3, 18]
Generated Node #0,1: 14:[56, 3, 18] Operation: 82-64=18
Exploring Operation: 82-56=26, Resulting Numbers: [64, 3, 26]
Generated Node #0,2: 14:[64, 3, 26] Operation: 82-56=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[56, 3, 18], Operations: ['82-64=18']
Exploring Operation: 18-3=15, Resulting Numbers: [56, 15]
Generated Node #0,1,0: 14:[56, 15] Operation: 18-3=15
Exploring Operation: 56-18=38, Resulting Numbers: [3, 38]
Generated Node #0,1,1: 14:[3, 38] Operation: 56-18=38
Exploring Operation: 56-3=53, Resulting Numbers: [18, 53]
Generated Node #0,1,2: 14:[18, 53] Operation: 56-3=53
Moving to Node #0,1,1
Current State: 14:[3, 38], Operations: ['82-64=18', '56-18=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,14 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[56, 15], Operations: ['82-64=18', '18-3=15']
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 56*15=840, Resulting Numbers: [840]
840,14 unequal: No Solution
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[18, 53], Operations: ['82-64=18', '56-3=53']
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 18*53=954, Resulting Numbers: [954]
954,14 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 #0,2
Current State: 14:[64, 3, 26], Operations: ['82-56=26']
Exploring Operation: 64-3=61, Resulting Numbers: [26, 61]
Generated Node #0,2,0: 14:[26, 61] Operation: 64-3=61
Exploring Operation: 26-3=23, Resulting Numbers: [64, 23]
Generated Node #0,2,1: 14:[64, 23] Operation: 26-3=23
Exploring Operation: 64-26=38, Resulting Numbers: [3, 38]
Generated Node #0,2,2: 14:[3, 38] Operation: 64-26=38
Moving to Node #0,2,2
Current State: 14:[3, 38], Operations: ['82-56=26', '64-26=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,14 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[26, 61], Operations: ['82-56=26', '64-3=61']
Exploring Operation: 26+61=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 26*61=1586, Resulting Numbers: [1586]
1586,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[64, 23], Operations: ['82-56=26', '26-3=23']
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,14 unequal: No Solution
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Exploring Operation: 64*23=1472, Resulting Numbers: [1472]
1472,14 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
Current State: 14:[82, 3, 8], Operations: ['64-56=8']
Exploring Operation: 8-3=5, Resulting Numbers: [82, 5]
Generated Node #0,0,0: 14:[82, 5] Operation: 8-3=5
Exploring Operation: 82-3=79, Resulting Numbers: [8, 79]
Generated Node #0,0,1: 14:[8, 79] Operation: 82-3=79
Exploring Operation: 82-8=74, Resulting Numbers: [3, 74]
Generated Node #0,0,2: 14:[3, 74] Operation: 82-8=74
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 14:[3, 74], Operations: ['64-56=8', '82-8=74']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 3*74=222, Resulting Numbers: [222]
222,14 unequal: No Solution
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,14 unequal: No Solution
No 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: 14:[8, 79], Operations: ['64-56=8', '82-3=79']
Exploring Operation: 8+79=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 8*79=632, Resulting Numbers: [632]
632,14 unequal: No Solution
No 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: 14:[82, 5], Operations: ['64-56=8', '8-3=5']
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,14 unequal: No Solution
Exploring Operation: 82*5=410, Resulting Numbers: [410]
410,14 unequal: No Solution
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,14 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 |
[
12,
20,
14,
52
] | 26 | [
"20-14=6",
"12/6=2",
"52/2=26"
] | Current State: 26:[12, 20, 14, 52], Operations: []
Exploring Operation: 20-14=6, Resulting Numbers: [12, 52, 6]
Generated Node #2: [12, 52, 6] from Operation: 20-14=6
Current State: 26:[12, 52, 6], Operations: ['20-14=6']
Exploring Operation: 12/6=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 12/6=2
Current State: 26:[52, 2], Operations: ['20-14=6', '12/6=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[12, 20, 14, 52], Operations: []
Exploring Operation: 52-14=38, Resulting Numbers: [12, 20, 38]
Generated Node #0,0: 26:[12, 20, 38] Operation: 52-14=38
Exploring Operation: 20-14=6, Resulting Numbers: [12, 52, 6]
Generated Node #0,1: 26:[12, 52, 6] Operation: 20-14=6
Exploring Operation: 52-20=32, Resulting Numbers: [12, 14, 32]
Generated Node #0,2: 26:[12, 14, 32] Operation: 52-20=32
Exploring Operation: 52-12=40, Resulting Numbers: [20, 14, 40]
Generated Node #0,3: 26:[20, 14, 40] Operation: 52-12=40
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[12, 14, 32], Operations: ['52-20=32']
Exploring Operation: 14-12=2, Resulting Numbers: [32, 2]
Generated Node #0,2,0: 26:[32, 2] Operation: 14-12=2
Exploring Operation: 32-12=20, Resulting Numbers: [14, 20]
Generated Node #0,2,1: 26:[14, 20] Operation: 32-12=20
Exploring Operation: 12+14=26, Resulting Numbers: [32, 26]
Generated Node #0,2,2: 26:[32, 26] Operation: 12+14=26
Exploring Operation: 32-14=18, Resulting Numbers: [12, 18]
Generated Node #0,2,3: 26:[12, 18] Operation: 32-14=18
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 26:[32, 2], Operations: ['52-20=32', '14-12=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,26 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,26 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 26:[32, 26], Operations: ['52-20=32', '12+14=26']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 26:[12, 18], Operations: ['52-20=32', '32-14=18']
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,26 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 26:[14, 20], Operations: ['52-20=32', '32-12=20']
Exploring Operation: 14*20=280, Resulting Numbers: [280]
280,26 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[12, 20, 38], Operations: ['52-14=38']
Exploring Operation: 38-12=26, Resulting Numbers: [20, 26]
Generated Node #0,0,0: 26:[20, 26] Operation: 38-12=26
Exploring Operation: 20-12=8, Resulting Numbers: [38, 8]
Generated Node #0,0,1: 26:[38, 8] Operation: 20-12=8
Exploring Operation: 12+20=32, Resulting Numbers: [38, 32]
Generated Node #0,0,2: 26:[38, 32] Operation: 12+20=32
Exploring Operation: 38-20=18, Resulting Numbers: [12, 18]
Generated Node #0,0,3: 26:[12, 18] Operation: 38-20=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[20, 26], Operations: ['52-14=38', '38-12=26']
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,26 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 26:[12, 18], Operations: ['52-14=38', '38-20=18']
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[38, 8], Operations: ['52-14=38', '20-12=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 26:[38, 32], Operations: ['52-14=38', '12+20=32']
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,26 unequal: No Solution
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[20, 14, 40], Operations: ['52-12=40']
Exploring Operation: 20-14=6, Resulting Numbers: [40, 6]
Generated Node #0,3,0: 26:[40, 6] Operation: 20-14=6
Exploring Operation: 40-20=20, Resulting Numbers: [14, 20]
Generated Node #0,3,1: 26:[14, 20] Operation: 40-20=20
Exploring Operation: 40-14=26, Resulting Numbers: [20, 26]
Generated Node #0,3,2: 26:[20, 26] Operation: 40-14=26
Exploring Operation: 40/20=2, Resulting Numbers: [14, 2]
Generated Node #0,3,3: 26:[14, 2] Operation: 40/20=2
Moving to Node #0,3,3
Current State: 26:[14, 2], Operations: ['52-12=40', '40/20=2']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,26 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[20, 26], Operations: ['52-12=40', '40-14=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,26 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[14, 20], Operations: ['52-12=40', '40-20=20']
Exploring Operation: 14*20=280, Resulting Numbers: [280]
280,26 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,26 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[40, 6], Operations: ['52-12=40', '20-14=6']
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,26 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[12, 52, 6], Operations: ['20-14=6']
Exploring Operation: 12-6=6, Resulting Numbers: [52, 6]
Generated Node #0,1,0: 26:[52, 6] Operation: 12-6=6
Exploring Operation: 52-12=40, Resulting Numbers: [6, 40]
Generated Node #0,1,1: 26:[6, 40] Operation: 52-12=40
Exploring Operation: 52-6=46, Resulting Numbers: [12, 46]
Generated Node #0,1,2: 26:[12, 46] Operation: 52-6=46
Exploring Operation: 12/6=2, Resulting Numbers: [52, 2]
Generated Node #0,1,3: 26:[52, 2] Operation: 12/6=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[6, 40], Operations: ['20-14=6', '52-12=40']
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,26 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,26 unequal: No Solution
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 26:[12, 46], Operations: ['20-14=6', '52-6=46']
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,26 unequal: No Solution
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 26:[52, 2], Operations: ['20-14=6', '12/6=2']
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,26 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[12, 20, 14, 52], Operations: []
Exploring Operation: 20-14=6, Resulting Numbers: [12, 52, 6]
Generated Node #0,1: 26:[12, 52, 6] Operation: 20-14=6
Moving to Node #0,1
Current State: 26:[12, 52, 6], Operations: ['20-14=6']
Exploring Operation: 12/6=2, Resulting Numbers: [52, 2]
Generated Node #0,1,3: 26:[52, 2] Operation: 12/6=2
Moving to Node #0,1,3
Current State: 26:[52, 2], Operations: ['20-14=6', '12/6=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.938368 | hs_4 | sum_heuristic |
[
46,
50,
6,
69
] | 81 | [
"50*69=3450",
"3450/46=75",
"6+75=81"
] | Current State: 81:[46, 50, 6, 69], Operations: []
Exploring Operation: 50*69=3450, Resulting Numbers: [46, 6, 3450]
Generated Node #2: [46, 6, 3450] from Operation: 50*69=3450
Current State: 81:[46, 6, 3450], Operations: ['50*69=3450']
Exploring Operation: 3450/46=75, Resulting Numbers: [6, 75]
Generated Node #3: [6, 75] from Operation: 3450/46=75
Current State: 81:[6, 75], Operations: ['50*69=3450', '3450/46=75']
Exploring Operation: 6+75=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[46, 50, 6, 69], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [50, 6, 23]
Generated Node #0,0: 81:[50, 6, 23] Operation: 69-46=23
Exploring Operation: 46+50=96, Resulting Numbers: [6, 69, 96]
Generated Node #0,1: 81:[6, 69, 96] Operation: 46+50=96
Exploring Operation: 50-46=4, Resulting Numbers: [6, 69, 4]
Generated Node #0,2: 81:[6, 69, 4] Operation: 50-46=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[6, 69, 4], Operations: ['50-46=4']
Exploring Operation: 6+4=10, Resulting Numbers: [69, 10]
Generated Node #0,2,0: 81:[69, 10] Operation: 6+4=10
Exploring Operation: 6+69=75, Resulting Numbers: [4, 75]
Generated Node #0,2,1: 81:[4, 75] Operation: 6+69=75
Exploring Operation: 69+4=73, Resulting Numbers: [6, 73]
Generated Node #0,2,2: 81:[6, 73] Operation: 69+4=73
Moving to Node #0,2,1
Current State: 81:[4, 75], Operations: ['50-46=4', '6+69=75']
Exploring Operation: 4*75=300, Resulting Numbers: [300]
300,81 unequal: No Solution
Exploring Operation: 4+75=79, Resulting Numbers: [79]
79,81 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[6, 73], Operations: ['50-46=4', '69+4=73']
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,81 unequal: No Solution
Exploring Operation: 6*73=438, Resulting Numbers: [438]
438,81 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[69, 10], Operations: ['50-46=4', '6+4=10']
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,81 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,81 unequal: No Solution
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[50, 6, 23], Operations: ['69-46=23']
Exploring Operation: 50-23=27, Resulting Numbers: [6, 27]
Generated Node #0,0,0: 81:[6, 27] Operation: 50-23=27
Exploring Operation: 50-6=44, Resulting Numbers: [23, 44]
Generated Node #0,0,1: 81:[23, 44] Operation: 50-6=44
Exploring Operation: 50+23=73, Resulting Numbers: [6, 73]
Generated Node #0,0,2: 81:[6, 73] Operation: 50+23=73
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[6, 27], Operations: ['69-46=23', '50-23=27']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,81 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,81 unequal: No Solution
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 81:[6, 73], Operations: ['69-46=23', '50+23=73']
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,81 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,81 unequal: No Solution
Exploring Operation: 6*73=438, Resulting Numbers: [438]
438,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[23, 44], Operations: ['69-46=23', '50-6=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,81 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,81 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[6, 69, 96], Operations: ['46+50=96']
Exploring Operation: 6+69=75, Resulting Numbers: [96, 75]
Generated Node #0,1,0: 81:[96, 75] Operation: 6+69=75
Exploring Operation: 96-69=27, Resulting Numbers: [6, 27]
Generated Node #0,1,1: 81:[6, 27] Operation: 96-69=27
Exploring Operation: 96/6=16, Resulting Numbers: [69, 16]
Generated Node #0,1,2: 81:[69, 16] Operation: 96/6=16
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 81:[6, 27], Operations: ['46+50=96', '96-69=27']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,81 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,81 unequal: No Solution
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 81:[69, 16], Operations: ['46+50=96', '96/6=16']
Exploring Operation: 69*16=1104, Resulting Numbers: [1104]
1104,81 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,81 unequal: No Solution
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 81:[96, 75], Operations: ['46+50=96', '6+69=75']
Exploring Operation: 96*75=7200, Resulting Numbers: [7200]
7200,81 unequal: No Solution
Exploring Operation: 96+75=171, Resulting Numbers: [171]
171,81 unequal: No Solution
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
58,
35,
38,
3
] | 91 | [
"58-35=23",
"38*3=114",
"114-23=91"
] | Current State: 91:[58, 35, 38, 3], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [38, 3, 23]
Generated Node #2: [38, 3, 23] from Operation: 58-35=23
Current State: 91:[38, 3, 23], Operations: ['58-35=23']
Exploring Operation: 38*3=114, Resulting Numbers: [23, 114]
Generated Node #3: [23, 114] from Operation: 38*3=114
Current State: 91:[23, 114], Operations: ['58-35=23', '38*3=114']
Exploring Operation: 114-23=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[58, 35, 38, 3], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [35, 3, 20]
Generated Node #0,0: 91:[35, 3, 20] Operation: 58-38=20
Exploring Operation: 58+35=93, Resulting Numbers: [38, 3, 93]
Generated Node #0,1: 91:[38, 3, 93] Operation: 58+35=93
Exploring Operation: 58+38=96, Resulting Numbers: [35, 3, 96]
Generated Node #0,2: 91:[35, 3, 96] Operation: 58+38=96
Moving to Node #0,1
Current State: 91:[38, 3, 93], Operations: ['58+35=93']
Exploring Operation: 38*3=114, Resulting Numbers: [93, 114]
Generated Node #0,1,0: 91:[93, 114] Operation: 38*3=114
Exploring Operation: 93-3=90, Resulting Numbers: [38, 90]
Generated Node #0,1,1: 91:[38, 90] Operation: 93-3=90
Exploring Operation: 38-3=35, Resulting Numbers: [93, 35]
Generated Node #0,1,2: 91:[93, 35] Operation: 38-3=35
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[93, 35], Operations: ['58+35=93', '38-3=35']
Exploring Operation: 93*35=3255, Resulting Numbers: [3255]
3255,91 unequal: No Solution
Exploring Operation: 93-35=58, Resulting Numbers: [58]
58,91 unequal: No Solution
Exploring Operation: 93+35=128, Resulting Numbers: [128]
128,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[93, 114], Operations: ['58+35=93', '38*3=114']
Exploring Operation: 114-93=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 93+114=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 93*114=10602, Resulting Numbers: [10602]
10602,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[38, 90], Operations: ['58+35=93', '93-3=90']
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,91 unequal: No Solution
Exploring Operation: 38*90=3420, Resulting Numbers: [3420]
3420,91 unequal: No Solution
Exploring Operation: 38+90=128, Resulting Numbers: [128]
128,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 91:[35, 3, 96], Operations: ['58+38=96']
Exploring Operation: 96-3=93, Resulting Numbers: [35, 93]
Generated Node #0,2,0: 91:[35, 93] Operation: 96-3=93
Exploring Operation: 35-3=32, Resulting Numbers: [96, 32]
Generated Node #0,2,1: 91:[96, 32] Operation: 35-3=32
Exploring Operation: 35*3=105, Resulting Numbers: [96, 105]
Generated Node #0,2,2: 91:[96, 105] Operation: 35*3=105
Moving to Node #0,0
Current State: 91:[35, 3, 20], Operations: ['58-38=20']
Exploring Operation: 35-20=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 91:[3, 15] Operation: 35-20=15
Exploring Operation: 35*3=105, Resulting Numbers: [20, 105]
Generated Node #0,0,1: 91:[20, 105] Operation: 35*3=105
Exploring Operation: 35-3=32, Resulting Numbers: [20, 32]
Generated Node #0,0,2: 91:[20, 32] Operation: 35-3=32
Moving to Node #0,0,0
Current State: 91:[3, 15], Operations: ['58-38=20', '35-20=15']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[96, 105], Operations: ['58+38=96', '35*3=105']
Exploring Operation: 96+105=201, Resulting Numbers: [201]
201,91 unequal: No Solution
Exploring Operation: 105-96=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 96*105=10080, Resulting Numbers: [10080]
10080,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[20, 105], Operations: ['58-38=20', '35*3=105']
Exploring Operation: 105-20=85, Resulting Numbers: [85]
85,91 unequal: No Solution
Exploring Operation: 20+105=125, Resulting Numbers: [125]
125,91 unequal: No Solution
Exploring Operation: 20*105=2100, Resulting Numbers: [2100]
2100,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[96, 32], Operations: ['58+38=96', '35-3=32']
Exploring Operation: 96+32=128, Resulting Numbers: [128]
128,91 unequal: No Solution
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,91 unequal: No Solution
Exploring Operation: 96/32=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[35, 93], Operations: ['58+38=96', '96-3=93']
Exploring Operation: 93-35=58, Resulting Numbers: [58]
58,91 unequal: No Solution
Exploring Operation: 35+93=128, Resulting Numbers: [128]
128,91 unequal: No Solution
Exploring Operation: 35*93=3255, Resulting Numbers: [3255]
3255,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[20, 32], Operations: ['58-38=20', '35-3=32']
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,91 unequal: No Solution
Exploring Operation: 20*32=640, Resulting Numbers: [640]
640,91 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
16,
76,
17,
30
] | 79 | [
"16+76=92",
"30-17=13",
"92-13=79"
] | Current State: 79:[16, 76, 17, 30], Operations: []
Exploring Operation: 16+76=92, Resulting Numbers: [17, 30, 92]
Generated Node #2: [17, 30, 92] from Operation: 16+76=92
Current State: 79:[17, 30, 92], Operations: ['16+76=92']
Exploring Operation: 30-17=13, Resulting Numbers: [92, 13]
Generated Node #3: [92, 13] from Operation: 30-17=13
Current State: 79:[92, 13], Operations: ['16+76=92', '30-17=13']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[16, 76, 17, 30], Operations: []
Exploring Operation: 16+30=46, Resulting Numbers: [76, 17, 46]
Generated Node #0,0: 79:[76, 17, 46] Operation: 16+30=46
Exploring Operation: 16+17=33, Resulting Numbers: [76, 30, 33]
Generated Node #0,1: 79:[76, 30, 33] Operation: 16+17=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[76, 17, 46], Operations: ['16+30=46']
Exploring Operation: 76+17=93, Resulting Numbers: [46, 93]
Generated Node #0,0,0: 79:[46, 93] Operation: 76+17=93
Exploring Operation: 17+46=63, Resulting Numbers: [76, 63]
Generated Node #0,0,1: 79:[76, 63] Operation: 17+46=63
Moving to Node #0,0,1
Current State: 79:[76, 63], Operations: ['16+30=46', '17+46=63']
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[46, 93], Operations: ['16+30=46', '76+17=93']
Exploring Operation: 93-46=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 46+93=139, Resulting Numbers: [139]
139,79 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:[76, 30, 33], Operations: ['16+17=33']
Exploring Operation: 76+30=106, Resulting Numbers: [33, 106]
Generated Node #0,1,0: 79:[33, 106] Operation: 76+30=106
Exploring Operation: 30+33=63, Resulting Numbers: [76, 63]
Generated Node #0,1,1: 79:[76, 63] Operation: 30+33=63
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 79:[76, 63], Operations: ['16+17=33', '30+33=63']
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,79 unequal: No Solution
No 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: 79:[33, 106], Operations: ['16+17=33', '76+30=106']
Exploring Operation: 106-33=73, Resulting Numbers: [73]
73,79 unequal: No Solution
Exploring Operation: 33+106=139, Resulting Numbers: [139]
139,79 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 |
[
29,
3,
12,
11
] | 67 | [
"11-3=8",
"12*8=96",
"96-29=67"
] | Current State: 67:[29, 3, 12, 11], Operations: []
Exploring Operation: 11-3=8, Resulting Numbers: [29, 12, 8]
Generated Node #2: [29, 12, 8] from Operation: 11-3=8
Current State: 67:[29, 12, 8], Operations: ['11-3=8']
Exploring Operation: 12*8=96, Resulting Numbers: [29, 96]
Generated Node #3: [29, 96] from Operation: 12*8=96
Current State: 67:[29, 96], Operations: ['11-3=8', '12*8=96']
Exploring Operation: 96-29=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[29, 3, 12, 11], Operations: []
Exploring Operation: 3*11=33, Resulting Numbers: [29, 12, 33]
Generated Node #0,0: 67:[29, 12, 33] Operation: 3*11=33
Exploring Operation: 29*3=87, Resulting Numbers: [12, 11, 87]
Generated Node #0,1: 67:[12, 11, 87] Operation: 29*3=87
Exploring Operation: 3*12=36, Resulting Numbers: [29, 11, 36]
Generated Node #0,2: 67:[29, 11, 36] Operation: 3*12=36
Moving to Node #0,2
Current State: 67:[29, 11, 36], Operations: ['3*12=36']
Exploring Operation: 11+36=47, Resulting Numbers: [29, 47]
Generated Node #0,2,0: 67:[29, 47] Operation: 11+36=47
Exploring Operation: 29+36=65, Resulting Numbers: [11, 65]
Generated Node #0,2,1: 67:[11, 65] Operation: 29+36=65
Exploring Operation: 29+11=40, Resulting Numbers: [36, 40]
Generated Node #0,2,2: 67:[36, 40] Operation: 29+11=40
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 67:[29, 47], Operations: ['3*12=36', '11+36=47']
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[11, 65], Operations: ['3*12=36', '29+36=65']
Exploring Operation: 11+65=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,67 unequal: No Solution
Exploring Operation: 11*65=715, Resulting Numbers: [715]
715,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 67:[36, 40], Operations: ['3*12=36', '29+11=40']
Exploring Operation: 36*40=1440, Resulting Numbers: [1440]
1440,67 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,67 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: 67:[29, 12, 33], Operations: ['3*11=33']
Exploring Operation: 12+33=45, Resulting Numbers: [29, 45]
Generated Node #0,0,0: 67:[29, 45] Operation: 12+33=45
Exploring Operation: 29+12=41, Resulting Numbers: [33, 41]
Generated Node #0,0,1: 67:[33, 41] Operation: 29+12=41
Exploring Operation: 29+33=62, Resulting Numbers: [12, 62]
Generated Node #0,0,2: 67:[12, 62] Operation: 29+33=62
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[29, 45], Operations: ['3*11=33', '12+33=45']
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,67 unequal: No Solution
Exploring Operation: 29*45=1305, Resulting Numbers: [1305]
1305,67 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[33, 41], Operations: ['3*11=33', '29+12=41']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 33*41=1353, Resulting Numbers: [1353]
1353,67 unequal: No Solution
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 67:[12, 62], Operations: ['3*11=33', '29+33=62']
Exploring Operation: 12+62=74, Resulting Numbers: [74]
74,67 unequal: No Solution
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 12*62=744, Resulting Numbers: [744]
744,67 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: 67:[12, 11, 87], Operations: ['29*3=87']
Exploring Operation: 12+11=23, Resulting Numbers: [87, 23]
Generated Node #0,1,0: 67:[87, 23] Operation: 12+11=23
Exploring Operation: 87-11=76, Resulting Numbers: [12, 76]
Generated Node #0,1,1: 67:[12, 76] Operation: 87-11=76
Exploring Operation: 87-12=75, Resulting Numbers: [11, 75]
Generated Node #0,1,2: 67:[11, 75] Operation: 87-12=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[87, 23], Operations: ['29*3=87', '12+11=23']
Exploring Operation: 87*23=2001, Resulting Numbers: [2001]
2001,67 unequal: No Solution
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 87+23=110, Resulting Numbers: [110]
110,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[12, 76], Operations: ['29*3=87', '87-11=76']
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 12+76=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Exploring Operation: 12*76=912, Resulting Numbers: [912]
912,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 67:[11, 75], Operations: ['29*3=87', '87-12=75']
Exploring Operation: 11*75=825, Resulting Numbers: [825]
825,67 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,67 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 |
[
51,
94,
5,
38
] | 86 | [
"94-51=43",
"5+38=43",
"43+43=86"
] | Current State: 86:[51, 94, 5, 38], Operations: []
Exploring Operation: 94-51=43, Resulting Numbers: [5, 38, 43]
Generated Node #2: [5, 38, 43] from Operation: 94-51=43
Current State: 86:[5, 38, 43], Operations: ['94-51=43']
Exploring Operation: 5+38=43, Resulting Numbers: [43, 43]
Generated Node #3: [43, 43] from Operation: 5+38=43
Current State: 86:[43, 43], Operations: ['94-51=43', '5+38=43']
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[51, 94, 5, 38], Operations: []
Exploring Operation: 94-51=43, Resulting Numbers: [5, 38, 43]
Generated Node #0,0: 86:[5, 38, 43] Operation: 94-51=43
Exploring Operation: 51-5=46, Resulting Numbers: [94, 38, 46]
Generated Node #0,1: 86:[94, 38, 46] Operation: 51-5=46
Exploring Operation: 51+38=89, Resulting Numbers: [94, 5, 89]
Generated Node #0,2: 86:[94, 5, 89] Operation: 51+38=89
Moving to Node #0,0
Current State: 86:[5, 38, 43], Operations: ['94-51=43']
Exploring Operation: 5+38=43, Resulting Numbers: [43, 43]
Generated Node #0,0,0: 86:[43, 43] Operation: 5+38=43
Exploring Operation: 43-38=5, Resulting Numbers: [5, 5]
Generated Node #0,0,1: 86:[5, 5] Operation: 43-38=5
Exploring Operation: 38+43=81, Resulting Numbers: [5, 81]
Generated Node #0,0,2: 86:[5, 81] Operation: 38+43=81
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[43, 43], Operations: ['94-51=43', '5+38=43']
Exploring Operation: 43-43=0, Resulting Numbers: [0]
0,86 unequal: No Solution
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[51, 94, 5, 38], Operations: []
Exploring Operation: 94-51=43, Resulting Numbers: [5, 38, 43]
Generated Node #0,0: 86:[5, 38, 43] Operation: 94-51=43
Moving to Node #0,0
Current State: 86:[5, 38, 43], Operations: ['94-51=43']
Exploring Operation: 5+38=43, Resulting Numbers: [43, 43]
Generated Node #0,0,0: 86:[43, 43] Operation: 5+38=43
Moving to Node #0,0,0
Current State: 86:[43, 43], Operations: ['94-51=43', '5+38=43']
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
54,
82,
90,
27
] | 33 | [
"82-27=55",
"54*55=2970",
"2970/90=33"
] | Current State: 33:[54, 82, 90, 27], Operations: []
Exploring Operation: 82-27=55, Resulting Numbers: [54, 90, 55]
Generated Node #2: [54, 90, 55] from Operation: 82-27=55
Current State: 33:[54, 90, 55], Operations: ['82-27=55']
Exploring Operation: 54*55=2970, Resulting Numbers: [90, 2970]
Generated Node #3: [90, 2970] from Operation: 54*55=2970
Current State: 33:[90, 2970], Operations: ['82-27=55', '54*55=2970']
Exploring Operation: 2970/90=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[54, 82, 90, 27], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [82, 27, 36]
Generated Node #0,0: 33:[82, 27, 36] Operation: 90-54=36
Exploring Operation: 90-82=8, Resulting Numbers: [54, 27, 8]
Generated Node #0,1: 33:[54, 27, 8] Operation: 90-82=8
Moving to Node #0,1
Current State: 33:[54, 27, 8], Operations: ['90-82=8']
Exploring Operation: 54-27=27, Resulting Numbers: [8, 27]
Generated Node #0,1,0: 33:[8, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [8, 2]
Generated Node #0,1,1: 33:[8, 2] Operation: 54/27=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[8, 2], Operations: ['90-82=8', '54/27=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[8, 27], Operations: ['90-82=8', '54-27=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,33 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: 33:[82, 27, 36], Operations: ['90-54=36']
Exploring Operation: 82-36=46, Resulting Numbers: [27, 46]
Generated Node #0,0,0: 33:[27, 46] Operation: 82-36=46
Exploring Operation: 82-27=55, Resulting Numbers: [36, 55]
Generated Node #0,0,1: 33:[36, 55] Operation: 82-27=55
Moving to Node #0,0,0
Current State: 33:[27, 46], Operations: ['90-54=36', '82-36=46']
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[36, 55], Operations: ['90-54=36', '82-27=55']
Exploring Operation: 36+55=91, Resulting Numbers: [91]
91,33 unequal: No Solution
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,33 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
31,
33,
4,
11
] | 28 | [
"31-11=20",
"20/4=5",
"33-5=28"
] | Current State: 28:[31, 33, 4, 11], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [33, 4, 20]
Generated Node #2: [33, 4, 20] from Operation: 31-11=20
Current State: 28:[33, 4, 20], Operations: ['31-11=20']
Exploring Operation: 20/4=5, Resulting Numbers: [33, 5]
Generated Node #3: [33, 5] from Operation: 20/4=5
Current State: 28:[33, 5], Operations: ['31-11=20', '20/4=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[31, 33, 4, 11], Operations: []
Exploring Operation: 11-4=7, Resulting Numbers: [31, 33, 7]
Generated Node #0,0: 28:[31, 33, 7] Operation: 11-4=7
Exploring Operation: 33-4=29, Resulting Numbers: [31, 11, 29]
Generated Node #0,1: 28:[31, 11, 29] Operation: 33-4=29
Exploring Operation: 33-31=2, Resulting Numbers: [4, 11, 2]
Generated Node #0,2: 28:[4, 11, 2] Operation: 33-31=2
Exploring Operation: 33/11=3, Resulting Numbers: [31, 4, 3]
Generated Node #0,3: 28:[31, 4, 3] Operation: 33/11=3
Exploring Operation: 31-4=27, Resulting Numbers: [33, 11, 27]
Generated Node #0,4: 28:[33, 11, 27] Operation: 31-4=27
Moving to Node #0,2
Current State: 28:[4, 11, 2], Operations: ['33-31=2']
Exploring Operation: 11-2=9, Resulting Numbers: [4, 9]
Generated Node #0,2,0: 28:[4, 9] Operation: 11-2=9
Exploring Operation: 4+11=15, Resulting Numbers: [2, 15]
Generated Node #0,2,1: 28:[2, 15] Operation: 4+11=15
Exploring Operation: 11+2=13, Resulting Numbers: [4, 13]
Generated Node #0,2,2: 28:[4, 13] Operation: 11+2=13
Exploring Operation: 11-4=7, Resulting Numbers: [2, 7]
Generated Node #0,2,3: 28:[2, 7] Operation: 11-4=7
Exploring Operation: 4-2=2, Resulting Numbers: [11, 2]
Generated Node #0,2,4: 28:[11, 2] Operation: 4-2=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 28:[2, 7], Operations: ['33-31=2', '11-4=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 28:[2, 15], Operations: ['33-31=2', '4+11=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[4, 13], Operations: ['33-31=2', '11+2=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[4, 9], Operations: ['33-31=2', '11-2=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 28:[11, 2], Operations: ['33-31=2', '4-2=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,28 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: 28:[31, 4, 3], Operations: ['33/11=3']
Exploring Operation: 31-3=28, Resulting Numbers: [4, 28]
Generated Node #0,3,0: 28:[4, 28] Operation: 31-3=28
Exploring Operation: 4+3=7, Resulting Numbers: [31, 7]
Generated Node #0,3,1: 28:[31, 7] Operation: 4+3=7
Exploring Operation: 4-3=1, Resulting Numbers: [31, 1]
Generated Node #0,3,2: 28:[31, 1] Operation: 4-3=1
Exploring Operation: 4*3=12, Resulting Numbers: [31, 12]
Generated Node #0,3,3: 28:[31, 12] Operation: 4*3=12
Exploring Operation: 31-4=27, Resulting Numbers: [3, 27]
Generated Node #0,3,4: 28:[3, 27] Operation: 31-4=27
Moving to Node #0,1
Current State: 28:[31, 11, 29], Operations: ['33-4=29']
Exploring Operation: 31+11=42, Resulting Numbers: [29, 42]
Generated Node #0,1,0: 28:[29, 42] Operation: 31+11=42
Exploring Operation: 11+29=40, Resulting Numbers: [31, 40]
Generated Node #0,1,1: 28:[31, 40] Operation: 11+29=40
Exploring Operation: 31-29=2, Resulting Numbers: [11, 2]
Generated Node #0,1,2: 28:[11, 2] Operation: 31-29=2
Exploring Operation: 31-11=20, Resulting Numbers: [29, 20]
Generated Node #0,1,3: 28:[29, 20] Operation: 31-11=20
Exploring Operation: 29-11=18, Resulting Numbers: [31, 18]
Generated Node #0,1,4: 28:[31, 18] Operation: 29-11=18
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[11, 2], Operations: ['33-4=29', '31-29=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 28:[29, 20], Operations: ['33-4=29', '31-11=20']
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 29*20=580, Resulting Numbers: [580]
580,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 28:[31, 18], Operations: ['33-4=29', '29-11=18']
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[29, 42], Operations: ['33-4=29', '31+11=42']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,28 unequal: No Solution
Exploring Operation: 29*42=1218, Resulting Numbers: [1218]
1218,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[31, 40], Operations: ['33-4=29', '11+29=40']
Exploring Operation: 31*40=1240, Resulting Numbers: [1240]
1240,28 unequal: No Solution
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,28 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,28 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: 28:[31, 33, 7], Operations: ['11-4=7']
Exploring Operation: 33+7=40, Resulting Numbers: [31, 40]
Generated Node #0,0,0: 28:[31, 40] Operation: 33+7=40
Exploring Operation: 31-7=24, Resulting Numbers: [33, 24]
Generated Node #0,0,1: 28:[33, 24] Operation: 31-7=24
Exploring Operation: 33-31=2, Resulting Numbers: [7, 2]
Generated Node #0,0,2: 28:[7, 2] Operation: 33-31=2
Exploring Operation: 33-7=26, Resulting Numbers: [31, 26]
Generated Node #0,0,3: 28:[31, 26] Operation: 33-7=26
Exploring Operation: 31+7=38, Resulting Numbers: [33, 38]
Generated Node #0,0,4: 28:[33, 38] Operation: 31+7=38
Moving to Node #0,4
Current State: 28:[33, 11, 27], Operations: ['31-4=27']
Exploring Operation: 33-11=22, Resulting Numbers: [27, 22]
Generated Node #0,4,0: 28:[27, 22] Operation: 33-11=22
Exploring Operation: 27-11=16, Resulting Numbers: [33, 16]
Generated Node #0,4,1: 28:[33, 16] Operation: 27-11=16
Exploring Operation: 33-27=6, Resulting Numbers: [11, 6]
Generated Node #0,4,2: 28:[11, 6] Operation: 33-27=6
Exploring Operation: 33/11=3, Resulting Numbers: [27, 3]
Generated Node #0,4,3: 28:[27, 3] Operation: 33/11=3
Exploring Operation: 11+27=38, Resulting Numbers: [33, 38]
Generated Node #0,4,4: 28:[33, 38] Operation: 11+27=38
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 28:[27, 3], Operations: ['31-4=27', '33/11=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,28 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 28:[11, 6], Operations: ['31-4=27', '33-27=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 28:[27, 22], Operations: ['31-4=27', '33-11=22']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,28 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 28:[33, 16], Operations: ['31-4=27', '27-11=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 28:[33, 38], Operations: ['31-4=27', '11+27=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,28 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 28:[4, 28], Operations: ['33/11=3', '31-3=28']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,28 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[7, 2], Operations: ['11-4=7', '33-31=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Moving to Node #0,3,4
Current State: 28:[3, 27], Operations: ['33/11=3', '31-4=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,28 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Moving to Node #0,3,1
Current State: 28:[31, 7], Operations: ['33/11=3', '4+3=7']
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,28 unequal: No Solution
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Moving to Node #0,3,2
Current State: 28:[31, 1], Operations: ['33/11=3', '4-3=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Moving to Node #0,0,3
Current State: 28:[31, 26], Operations: ['11-4=7', '33-7=26']
Exploring Operation: 31*26=806, Resulting Numbers: [806]
806,28 unequal: No Solution
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,28 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Moving to Node #0,3,3
Current State: 28:[31, 12], Operations: ['33/11=3', '4*3=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,28 unequal: No Solution
Exploring Operation: 31*12=372, Resulting Numbers: [372]
372,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[33, 24], Operations: ['11-4=7', '31-7=24']
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,28 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[31, 40], Operations: ['11-4=7', '33+7=40']
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 31*40=1240, Resulting Numbers: [1240]
1240,28 unequal: No Solution
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,28 unequal: No Solution
Moving to Node #0,0,4
Current State: 28:[33, 38], Operations: ['11-4=7', '31+7=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,28 unequal: No Solution
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,28 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,28 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
15,
18,
47,
2
] | 59 | [
"15*2=30",
"47-18=29",
"30+29=59"
] | Current State: 59:[15, 18, 47, 2], Operations: []
Exploring Operation: 15*2=30, Resulting Numbers: [18, 47, 30]
Generated Node #2: [18, 47, 30] from Operation: 15*2=30
Current State: 59:[18, 47, 30], Operations: ['15*2=30']
Exploring Operation: 47-18=29, Resulting Numbers: [30, 29]
Generated Node #3: [30, 29] from Operation: 47-18=29
Current State: 59:[30, 29], Operations: ['15*2=30', '47-18=29']
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[15, 18, 47, 2], Operations: []
Exploring Operation: 15*2=30, Resulting Numbers: [18, 47, 30]
Generated Node #0,0: 59:[18, 47, 30] Operation: 15*2=30
Exploring Operation: 15+18=33, Resulting Numbers: [47, 2, 33]
Generated Node #0,1: 59:[47, 2, 33] Operation: 15+18=33
Exploring Operation: 18*2=36, Resulting Numbers: [15, 47, 36]
Generated Node #0,2: 59:[15, 47, 36] Operation: 18*2=36
Moving to Node #0,2
Current State: 59:[15, 47, 36], Operations: ['18*2=36']
Exploring Operation: 15+47=62, Resulting Numbers: [36, 62]
Generated Node #0,2,0: 59:[36, 62] Operation: 15+47=62
Exploring Operation: 15+36=51, Resulting Numbers: [47, 51]
Generated Node #0,2,1: 59:[47, 51] Operation: 15+36=51
Exploring Operation: 47-15=32, Resulting Numbers: [36, 32]
Generated Node #0,2,2: 59:[36, 32] Operation: 47-15=32
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[47, 51], Operations: ['18*2=36', '15+36=51']
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 47*51=2397, Resulting Numbers: [2397]
2397,59 unequal: No Solution
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,59 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:[36, 62], Operations: ['18*2=36', '15+47=62']
Exploring Operation: 36+62=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 36*62=2232, Resulting Numbers: [2232]
2232,59 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:[36, 32], Operations: ['18*2=36', '47-15=32']
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,59 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,59 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:[18, 47, 30], Operations: ['15*2=30']
Exploring Operation: 47-18=29, Resulting Numbers: [30, 29]
Generated Node #0,0,0: 59:[30, 29] Operation: 47-18=29
Exploring Operation: 18+30=48, Resulting Numbers: [47, 48]
Generated Node #0,0,1: 59:[47, 48] Operation: 18+30=48
Exploring Operation: 18+47=65, Resulting Numbers: [30, 65]
Generated Node #0,0,2: 59:[30, 65] Operation: 18+47=65
Moving to Node #0,1
Current State: 59:[47, 2, 33], Operations: ['15+18=33']
Exploring Operation: 2+33=35, Resulting Numbers: [47, 35]
Generated Node #0,1,0: 59:[47, 35] Operation: 2+33=35
Exploring Operation: 2*33=66, Resulting Numbers: [47, 66]
Generated Node #0,1,1: 59:[47, 66] Operation: 2*33=66
Exploring Operation: 47+2=49, Resulting Numbers: [33, 49]
Generated Node #0,1,2: 59:[33, 49] Operation: 47+2=49
Moving to Node #0,1,1
Current State: 59:[47, 66], Operations: ['15+18=33', '2*33=66']
Exploring Operation: 66-47=19, Resulting Numbers: [19]
19,59 unequal: No Solution
Exploring Operation: 47*66=3102, Resulting Numbers: [3102]
3102,59 unequal: No Solution
Exploring Operation: 47+66=113, Resulting Numbers: [113]
113,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[47, 48], Operations: ['15*2=30', '18+30=48']
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 47*48=2256, Resulting Numbers: [2256]
2256,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[30, 65], Operations: ['15*2=30', '18+47=65']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,59 unequal: No Solution
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,59 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[33, 49], Operations: ['15+18=33', '47+2=49']
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,59 unequal: No Solution
Exploring Operation: 33*49=1617, Resulting Numbers: [1617]
1617,59 unequal: No Solution
Exploring Operation: 33+49=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[47, 35], Operations: ['15+18=33', '2+33=35']
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[30, 29], Operations: ['15*2=30', '47-18=29']
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[15, 18, 47, 2], Operations: []
Exploring Operation: 15*2=30, Resulting Numbers: [18, 47, 30]
Generated Node #0,0: 59:[18, 47, 30] Operation: 15*2=30
Moving to Node #0,0
Current State: 59:[18, 47, 30], Operations: ['15*2=30']
Exploring Operation: 47-18=29, Resulting Numbers: [30, 29]
Generated Node #0,0,0: 59:[30, 29] Operation: 47-18=29
Moving to Node #0,0,0
Current State: 59:[30, 29], Operations: ['15*2=30', '47-18=29']
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 0.96441 | hs_3 | mult_heuristic |
[
89,
59,
66,
3
] | 99 | [
"89-59=30",
"66+3=69",
"30+69=99"
] | Current State: 99:[89, 59, 66, 3], Operations: []
Exploring Operation: 89-59=30, Resulting Numbers: [66, 3, 30]
Generated Node #2: [66, 3, 30] from Operation: 89-59=30
Current State: 99:[66, 3, 30], Operations: ['89-59=30']
Exploring Operation: 66+3=69, Resulting Numbers: [30, 69]
Generated Node #3: [30, 69] from Operation: 66+3=69
Current State: 99:[30, 69], Operations: ['89-59=30', '66+3=69']
Exploring Operation: 30+69=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[89, 59, 66, 3], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [89, 3, 7]
Generated Node #0,0: 99:[89, 3, 7] Operation: 66-59=7
Exploring Operation: 89-59=30, Resulting Numbers: [66, 3, 30]
Generated Node #0,1: 99:[66, 3, 30] Operation: 89-59=30
Moving to Node #0,0
Current State: 99:[89, 3, 7], Operations: ['66-59=7']
Exploring Operation: 89+3=92, Resulting Numbers: [7, 92]
Generated Node #0,0,0: 99:[7, 92] Operation: 89+3=92
Exploring Operation: 89+7=96, Resulting Numbers: [3, 96]
Generated Node #0,0,1: 99:[3, 96] Operation: 89+7=96
Moving to Node #0,1
Current State: 99:[66, 3, 30], Operations: ['89-59=30']
Exploring Operation: 66-30=36, Resulting Numbers: [3, 36]
Generated Node #0,1,0: 99:[3, 36] Operation: 66-30=36
Exploring Operation: 66+30=96, Resulting Numbers: [3, 96]
Generated Node #0,1,1: 99:[3, 96] Operation: 66+30=96
Moving to Node #0,0,1
Current State: 99:[3, 96], Operations: ['66-59=7', '89+7=96']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,99 unequal: No Solution
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[89, 59, 66, 3], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [89, 3, 7]
Generated Node #0,0: 99:[89, 3, 7] Operation: 66-59=7
Moving to Node #0,0
Current State: 99:[89, 3, 7], Operations: ['66-59=7']
Exploring Operation: 89+7=96, Resulting Numbers: [3, 96]
Generated Node #0,0,1: 99:[3, 96] Operation: 89+7=96
Moving to Node #0,0,1
Current State: 99:[3, 96], Operations: ['66-59=7', '89+7=96']
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
1,
82,
86,
13
] | 48 | [
"13-1=12",
"86-82=4",
"12*4=48"
] | Current State: 48:[1, 82, 86, 13], Operations: []
Exploring Operation: 13-1=12, Resulting Numbers: [82, 86, 12]
Generated Node #2: [82, 86, 12] from Operation: 13-1=12
Current State: 48:[82, 86, 12], Operations: ['13-1=12']
Exploring Operation: 86-82=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 86-82=4
Current State: 48:[12, 4], Operations: ['13-1=12', '86-82=4']
Exploring Operation: 12*4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[1, 82, 86, 13], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [1, 13, 4]
Generated Node #0,0: 48:[1, 13, 4] Operation: 86-82=4
Exploring Operation: 82-1=81, Resulting Numbers: [86, 13, 81]
Generated Node #0,1: 48:[86, 13, 81] Operation: 82-1=81
Exploring Operation: 82-13=69, Resulting Numbers: [1, 86, 69]
Generated Node #0,2: 48:[1, 86, 69] Operation: 82-13=69
Exploring Operation: 86-1=85, Resulting Numbers: [82, 13, 85]
Generated Node #0,3: 48:[82, 13, 85] Operation: 86-1=85
Exploring Operation: 86-13=73, Resulting Numbers: [1, 82, 73]
Generated Node #0,4: 48:[1, 82, 73] Operation: 86-13=73
Moving to Node #0,0
Current State: 48:[1, 13, 4], Operations: ['86-82=4']
Exploring Operation: 13/1=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 48:[4, 13] Operation: 13/1=13
Exploring Operation: 1*13=13, Resulting Numbers: [4, 13]
Generated Node #0,0,1: 48:[4, 13] Operation: 1*13=13
Exploring Operation: 1*4=4, Resulting Numbers: [13, 4]
Generated Node #0,0,2: 48:[13, 4] Operation: 1*4=4
Exploring Operation: 13-1=12, Resulting Numbers: [4, 12]
Generated Node #0,0,3: 48:[4, 12] Operation: 13-1=12
Exploring Operation: 4-1=3, Resulting Numbers: [13, 3]
Generated Node #0,0,4: 48:[13, 3] Operation: 4-1=3
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[4, 12], Operations: ['86-82=4', '13-1=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[1, 82, 86, 13], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [1, 13, 4]
Generated Node #0,0: 48:[1, 13, 4] Operation: 86-82=4
Moving to Node #0,0
Current State: 48:[1, 13, 4], Operations: ['86-82=4']
Exploring Operation: 13-1=12, Resulting Numbers: [4, 12]
Generated Node #0,0,3: 48:[4, 12] Operation: 13-1=12
Moving to Node #0,0,3
Current State: 48:[4, 12], Operations: ['86-82=4', '13-1=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
55,
6,
51,
46
] | 44 | [
"55-6=49",
"51-46=5",
"49-5=44"
] | Current State: 44:[55, 6, 51, 46], Operations: []
Exploring Operation: 55-6=49, Resulting Numbers: [51, 46, 49]
Generated Node #2: [51, 46, 49] from Operation: 55-6=49
Current State: 44:[51, 46, 49], Operations: ['55-6=49']
Exploring Operation: 51-46=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 51-46=5
Current State: 44:[49, 5], Operations: ['55-6=49', '51-46=5']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[55, 6, 51, 46], Operations: []
Exploring Operation: 55-46=9, Resulting Numbers: [6, 51, 9]
Generated Node #0,0: 44:[6, 51, 9] Operation: 55-46=9
Exploring Operation: 51-6=45, Resulting Numbers: [55, 46, 45]
Generated Node #0,1: 44:[55, 46, 45] Operation: 51-6=45
Exploring Operation: 55-6=49, Resulting Numbers: [51, 46, 49]
Generated Node #0,2: 44:[51, 46, 49] Operation: 55-6=49
Exploring Operation: 55-51=4, Resulting Numbers: [6, 46, 4]
Generated Node #0,3: 44:[6, 46, 4] Operation: 55-51=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[6, 46, 4], Operations: ['55-51=4']
Exploring Operation: 46-6=40, Resulting Numbers: [4, 40]
Generated Node #0,3,0: 44:[4, 40] Operation: 46-6=40
Exploring Operation: 6*4=24, Resulting Numbers: [46, 24]
Generated Node #0,3,1: 44:[46, 24] Operation: 6*4=24
Exploring Operation: 6+4=10, Resulting Numbers: [46, 10]
Generated Node #0,3,2: 44:[46, 10] Operation: 6+4=10
Exploring Operation: 6-4=2, Resulting Numbers: [46, 2]
Generated Node #0,3,3: 44:[46, 2] Operation: 6-4=2
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 44:[46, 2], Operations: ['55-51=4', '6-4=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[55, 6, 51, 46], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [6, 46, 4]
Generated Node #0,3: 44:[6, 46, 4] Operation: 55-51=4
Moving to Node #0,3
Current State: 44:[6, 46, 4], Operations: ['55-51=4']
Exploring Operation: 6-4=2, Resulting Numbers: [46, 2]
Generated Node #0,3,3: 44:[46, 2] Operation: 6-4=2
Moving to Node #0,3,3
Current State: 44:[46, 2], Operations: ['55-51=4', '6-4=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
4,
8,
3,
13
] | 83 | [
"4*8=32",
"3*32=96",
"96-13=83"
] | Current State: 83:[4, 8, 3, 13], Operations: []
Exploring Operation: 4*8=32, Resulting Numbers: [3, 13, 32]
Generated Node #2: [3, 13, 32] from Operation: 4*8=32
Current State: 83:[3, 13, 32], Operations: ['4*8=32']
Exploring Operation: 3*32=96, Resulting Numbers: [13, 96]
Generated Node #3: [13, 96] from Operation: 3*32=96
Current State: 83:[13, 96], Operations: ['4*8=32', '3*32=96']
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[4, 8, 3, 13], Operations: []
Exploring Operation: 3*13=39, Resulting Numbers: [4, 8, 39]
Generated Node #0,0: 83:[4, 8, 39] Operation: 3*13=39
Exploring Operation: 4*13=52, Resulting Numbers: [8, 3, 52]
Generated Node #0,1: 83:[8, 3, 52] Operation: 4*13=52
Exploring Operation: 8*13=104, Resulting Numbers: [4, 3, 104]
Generated Node #0,2: 83:[4, 3, 104] Operation: 8*13=104
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[4, 3, 104], Operations: ['8*13=104']
Exploring Operation: 4*3=12, Resulting Numbers: [104, 12]
Generated Node #0,2,0: 83:[104, 12] Operation: 4*3=12
Exploring Operation: 104-4=100, Resulting Numbers: [3, 100]
Generated Node #0,2,1: 83:[3, 100] Operation: 104-4=100
Exploring Operation: 4+3=7, Resulting Numbers: [104, 7]
Generated Node #0,2,2: 83:[104, 7] Operation: 4+3=7
Moving to Node #0,2,0
Current State: 83:[104, 12], Operations: ['8*13=104', '4*3=12']
Exploring Operation: 104+12=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 104*12=1248, Resulting Numbers: [1248]
1248,83 unequal: No Solution
Exploring Operation: 104-12=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[3, 100], Operations: ['8*13=104', '104-4=100']
Exploring Operation: 3+100=103, Resulting Numbers: [103]
103,83 unequal: No Solution
Exploring Operation: 100-3=97, Resulting Numbers: [97]
97,83 unequal: No Solution
Exploring Operation: 3*100=300, Resulting Numbers: [300]
300,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[104, 7], Operations: ['8*13=104', '4+3=7']
Exploring Operation: 104-7=97, Resulting Numbers: [97]
97,83 unequal: No Solution
Exploring Operation: 104+7=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 104*7=728, Resulting Numbers: [728]
728,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[8, 3, 52], Operations: ['4*13=52']
Exploring Operation: 8*3=24, Resulting Numbers: [52, 24]
Generated Node #0,1,0: 83:[52, 24] Operation: 8*3=24
Exploring Operation: 8+3=11, Resulting Numbers: [52, 11]
Generated Node #0,1,1: 83:[52, 11] Operation: 8+3=11
Exploring Operation: 8+52=60, Resulting Numbers: [3, 60]
Generated Node #0,1,2: 83:[3, 60] Operation: 8+52=60
Moving to Node #0,1,0
Current State: 83:[52, 24], Operations: ['4*13=52', '8*3=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,83 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,83 unequal: No Solution
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[52, 11], Operations: ['4*13=52', '8+3=11']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 52*11=572, Resulting Numbers: [572]
572,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[3, 60], Operations: ['4*13=52', '8+52=60']
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[4, 8, 39], Operations: ['3*13=39']
Exploring Operation: 4*8=32, Resulting Numbers: [39, 32]
Generated Node #0,0,0: 83:[39, 32] Operation: 4*8=32
Exploring Operation: 4+39=43, Resulting Numbers: [8, 43]
Generated Node #0,0,1: 83:[8, 43] Operation: 4+39=43
Exploring Operation: 4+8=12, Resulting Numbers: [39, 12]
Generated Node #0,0,2: 83:[39, 12] Operation: 4+8=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[39, 32], Operations: ['3*13=39', '4*8=32']
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,83 unequal: No Solution
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[8, 43], Operations: ['3*13=39', '4+39=43']
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,83 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,83 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[39, 12], Operations: ['3*13=39', '4+8=12']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 39+12=51, Resulting Numbers: [51]
51,83 unequal: No Solution
Exploring Operation: 39*12=468, Resulting Numbers: [468]
468,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
25,
1,
65,
66
] | 24 | [
"25*1=25",
"66-65=1",
"25-1=24"
] | Current State: 24:[25, 1, 65, 66], Operations: []
Exploring Operation: 25*1=25, Resulting Numbers: [65, 66, 25]
Generated Node #2: [65, 66, 25] from Operation: 25*1=25
Current State: 24:[65, 66, 25], Operations: ['25*1=25']
Exploring Operation: 66-65=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 66-65=1
Current State: 24:[25, 1], Operations: ['25*1=25', '66-65=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[25, 1, 65, 66], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [1, 66, 40]
Generated Node #0,0: 24:[1, 66, 40] Operation: 65-25=40
Exploring Operation: 65-1=64, Resulting Numbers: [25, 66, 64]
Generated Node #0,1: 24:[25, 66, 64] Operation: 65-1=64
Exploring Operation: 66-65=1, Resulting Numbers: [25, 1, 1]
Generated Node #0,2: 24:[25, 1, 1] Operation: 66-65=1
Exploring Operation: 25-1=24, Resulting Numbers: [65, 66, 24]
Generated Node #0,3: 24:[65, 66, 24] Operation: 25-1=24
Exploring Operation: 66-25=41, Resulting Numbers: [1, 65, 41]
Generated Node #0,4: 24:[1, 65, 41] Operation: 66-25=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[25, 1, 1], Operations: ['66-65=1']
Exploring Operation: 25-1=24, Resulting Numbers: [1, 24]
Generated Node #0,2,0: 24:[1, 24] Operation: 25-1=24
Exploring Operation: 25-1=24, Resulting Numbers: [1, 24]
Generated Node #0,2,1: 24:[1, 24] Operation: 25-1=24
Exploring Operation: 1+1=2, Resulting Numbers: [25, 2]
Generated Node #0,2,2: 24:[25, 2] Operation: 1+1=2
Exploring Operation: 25/1=25, Resulting Numbers: [1, 25]
Generated Node #0,2,3: 24:[1, 25] Operation: 25/1=25
Exploring Operation: 25*1=25, Resulting Numbers: [1, 25]
Generated Node #0,2,4: 24:[1, 25] Operation: 25*1=25
Moving to Node #0,2,0
Current State: 24:[1, 24], Operations: ['66-65=1', '25-1=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[25, 1, 65, 66], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [25, 1, 1]
Generated Node #0,2: 24:[25, 1, 1] Operation: 66-65=1
Moving to Node #0,2
Current State: 24:[25, 1, 1], Operations: ['66-65=1']
Exploring Operation: 25-1=24, Resulting Numbers: [1, 24]
Generated Node #0,2,0: 24:[1, 24] Operation: 25-1=24
Moving to Node #0,2,0
Current State: 24:[1, 24], Operations: ['66-65=1', '25-1=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
90,
22,
21,
24
] | 44 | [
"90*22=1980",
"21+24=45",
"1980/45=44"
] | Current State: 44:[90, 22, 21, 24], Operations: []
Exploring Operation: 90*22=1980, Resulting Numbers: [21, 24, 1980]
Generated Node #2: [21, 24, 1980] from Operation: 90*22=1980
Current State: 44:[21, 24, 1980], Operations: ['90*22=1980']
Exploring Operation: 21+24=45, Resulting Numbers: [1980, 45]
Generated Node #3: [1980, 45] from Operation: 21+24=45
Current State: 44:[1980, 45], Operations: ['90*22=1980', '21+24=45']
Exploring Operation: 1980/45=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[90, 22, 21, 24], Operations: []
Exploring Operation: 90-21=69, Resulting Numbers: [22, 24, 69]
Generated Node #0,0: 44:[22, 24, 69] Operation: 90-21=69
Exploring Operation: 90-22=68, Resulting Numbers: [21, 24, 68]
Generated Node #0,1: 44:[21, 24, 68] Operation: 90-22=68
Exploring Operation: 24-22=2, Resulting Numbers: [90, 21, 2]
Generated Node #0,2: 44:[90, 21, 2] Operation: 24-22=2
Exploring Operation: 90-24=66, Resulting Numbers: [22, 21, 66]
Generated Node #0,3: 44:[22, 21, 66] Operation: 90-24=66
Moving to Node #0,3
Current State: 44:[22, 21, 66], Operations: ['90-24=66']
Exploring Operation: 22+21=43, Resulting Numbers: [66, 43]
Generated Node #0,3,0: 44:[66, 43] Operation: 22+21=43
Exploring Operation: 66-21=45, Resulting Numbers: [22, 45]
Generated Node #0,3,1: 44:[22, 45] Operation: 66-21=45
Exploring Operation: 66-22=44, Resulting Numbers: [21, 44]
Generated Node #0,3,2: 44:[21, 44] Operation: 66-22=44
Exploring Operation: 66/22=3, Resulting Numbers: [21, 3]
Generated Node #0,3,3: 44:[21, 3] Operation: 66/22=3
Moving to Node #0,1
Current State: 44:[21, 24, 68], Operations: ['90-22=68']
Exploring Operation: 68-24=44, Resulting Numbers: [21, 44]
Generated Node #0,1,0: 44:[21, 44] Operation: 68-24=44
Exploring Operation: 24-21=3, Resulting Numbers: [68, 3]
Generated Node #0,1,1: 44:[68, 3] Operation: 24-21=3
Exploring Operation: 68-21=47, Resulting Numbers: [24, 47]
Generated Node #0,1,2: 44:[24, 47] Operation: 68-21=47
Exploring Operation: 21+24=45, Resulting Numbers: [68, 45]
Generated Node #0,1,3: 44:[68, 45] Operation: 21+24=45
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[21, 44], Operations: ['90-22=68', '68-24=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,44 unequal: No Solution
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 44:[24, 47], Operations: ['90-22=68', '68-21=47']
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,44 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[68, 3], Operations: ['90-22=68', '24-21=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,44 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 44:[68, 45], Operations: ['90-22=68', '21+24=45']
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,44 unequal: No Solution
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,44 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: 44:[22, 24, 69], Operations: ['90-21=69']
Exploring Operation: 24-22=2, Resulting Numbers: [69, 2]
Generated Node #0,0,0: 44:[69, 2] Operation: 24-22=2
Exploring Operation: 69-24=45, Resulting Numbers: [22, 45]
Generated Node #0,0,1: 44:[22, 45] Operation: 69-24=45
Exploring Operation: 22+24=46, Resulting Numbers: [69, 46]
Generated Node #0,0,2: 44:[69, 46] Operation: 22+24=46
Exploring Operation: 69-22=47, Resulting Numbers: [24, 47]
Generated Node #0,0,3: 44:[24, 47] Operation: 69-22=47
Moving to Node #0,2
Current State: 44:[90, 21, 2], Operations: ['24-22=2']
Exploring Operation: 90-2=88, Resulting Numbers: [21, 88]
Generated Node #0,2,0: 44:[21, 88] Operation: 90-2=88
Exploring Operation: 90/2=45, Resulting Numbers: [21, 45]
Generated Node #0,2,1: 44:[21, 45] Operation: 90/2=45
Exploring Operation: 21+2=23, Resulting Numbers: [90, 23]
Generated Node #0,2,2: 44:[90, 23] Operation: 21+2=23
Exploring Operation: 90-21=69, Resulting Numbers: [2, 69]
Generated Node #0,2,3: 44:[2, 69] Operation: 90-21=69
Moving to Node #0,3,1
Current State: 44:[22, 45], Operations: ['90-24=66', '66-21=45']
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 22+45=67, Resulting Numbers: [67]
67,44 unequal: No Solution
Exploring Operation: 22*45=990, Resulting Numbers: [990]
990,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[21, 44], Operations: ['90-24=66', '66-22=44']
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,44 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[22, 45], Operations: ['90-21=69', '69-24=45']
Exploring Operation: 22*45=990, Resulting Numbers: [990]
990,44 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 22+45=67, Resulting Numbers: [67]
67,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[21, 3], Operations: ['90-24=66', '66/22=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,44 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[21, 45], Operations: ['24-22=2', '90/2=45']
Exploring Operation: 21*45=945, Resulting Numbers: [945]
945,44 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 21+45=66, Resulting Numbers: [66]
66,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[24, 47], Operations: ['90-21=69', '69-22=47']
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[66, 43], Operations: ['90-24=66', '22+21=43']
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 66*43=2838, Resulting Numbers: [2838]
2838,44 unequal: No Solution
Exploring Operation: 66+43=109, Resulting Numbers: [109]
109,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[69, 2], Operations: ['90-21=69', '24-22=2']
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,44 unequal: No Solution
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[2, 69], Operations: ['24-22=2', '90-21=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,44 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[69, 46], Operations: ['90-21=69', '22+24=46']
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 69*46=3174, Resulting Numbers: [3174]
3174,44 unequal: No Solution
Exploring Operation: 69+46=115, Resulting Numbers: [115]
115,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[21, 88], Operations: ['24-22=2', '90-2=88']
Exploring Operation: 88-21=67, Resulting Numbers: [67]
67,44 unequal: No Solution
Exploring Operation: 21+88=109, Resulting Numbers: [109]
109,44 unequal: No Solution
Exploring Operation: 21*88=1848, Resulting Numbers: [1848]
1848,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[90, 23], Operations: ['24-22=2', '21+2=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,44 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,44 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,44 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
84,
10,
80,
84
] | 31 | [
"84-80=4",
"84/4=21",
"10+21=31"
] | Current State: 31:[84, 10, 80, 84], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [10, 4]
Generated Node #2: [10, 4] from Operation: 84-80=4
Current State: 31:[10, 4], Operations: ['84-80=4']
Exploring Operation: 84/4=21, Resulting Numbers: [10, 21]
Generated Node #3: [10, 21] from Operation: 84/4=21
Current State: 31:[10, 21], Operations: ['84-80=4', '84/4=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[84, 10, 80, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [10, 80, 1]
Generated Node #0,0: 31:[10, 80, 1] Operation: 84/84=1
Exploring Operation: 84-80=4, Resulting Numbers: [10, 84, 4]
Generated Node #0,1: 31:[10, 84, 4] Operation: 84-80=4
Moving to Node #0,0
Current State: 31:[10, 80, 1], Operations: ['84/84=1']
Exploring Operation: 80-10=70, Resulting Numbers: [1, 70]
Generated Node #0,0,0: 31:[1, 70] Operation: 80-10=70
Exploring Operation: 80/10=8, Resulting Numbers: [1, 8]
Generated Node #0,0,1: 31:[1, 8] Operation: 80/10=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[1, 8], Operations: ['84/84=1', '80/10=8']
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[1, 70], Operations: ['84/84=1', '80-10=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 31:[10, 84, 4], Operations: ['84-80=4']
Exploring Operation: 10*4=40, Resulting Numbers: [84, 40]
Generated Node #0,1,0: 31:[84, 40] Operation: 10*4=40
Exploring Operation: 84/4=21, Resulting Numbers: [10, 21]
Generated Node #0,1,1: 31:[10, 21] Operation: 84/4=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[10, 21], Operations: ['84-80=4', '84/4=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[84, 10, 80, 84], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [10, 84, 4]
Generated Node #0,1: 31:[10, 84, 4] Operation: 84-80=4
Moving to Node #0,1
Current State: 31:[10, 84, 4], Operations: ['84-80=4']
Exploring Operation: 84/4=21, Resulting Numbers: [10, 21]
Generated Node #0,1,1: 31:[10, 21] Operation: 84/4=21
Moving to Node #0,1,1
Current State: 31:[10, 21], Operations: ['84-80=4', '84/4=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
61,
61,
9,
46
] | 36 | [
"61/61=1",
"46-9=37",
"37-1=36"
] | Current State: 36:[61, 61, 9, 46], Operations: []
Exploring Operation: 61/61=1, Resulting Numbers: [9, 46, 1]
Generated Node #2: [9, 46, 1] from Operation: 61/61=1
Current State: 36:[9, 46, 1], Operations: ['61/61=1']
Exploring Operation: 46-9=37, Resulting Numbers: [1, 37]
Generated Node #3: [1, 37] from Operation: 46-9=37
Current State: 36:[1, 37], Operations: ['61/61=1', '46-9=37']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[61, 61, 9, 46], Operations: []
Exploring Operation: 61/61=1, Resulting Numbers: [9, 46, 1]
Generated Node #0,0: 36:[9, 46, 1] Operation: 61/61=1
Moving to Node #0,0
Current State: 36:[9, 46, 1], Operations: ['61/61=1']
Exploring Operation: 46-9=37, Resulting Numbers: [1, 37]
Generated Node #0,0,0: 36:[1, 37] Operation: 46-9=37
Moving to Node #0,0,0
Current State: 36:[1, 37], Operations: ['61/61=1', '46-9=37']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[61, 61, 9, 46], Operations: []
Exploring Operation: 61/61=1, Resulting Numbers: [9, 46, 1]
Generated Node #0,0: 36:[9, 46, 1] Operation: 61/61=1
Moving to Node #0,0
Current State: 36:[9, 46, 1], Operations: ['61/61=1']
Exploring Operation: 46-9=37, Resulting Numbers: [1, 37]
Generated Node #0,0,0: 36:[1, 37] Operation: 46-9=37
Moving to Node #0,0,0
Current State: 36:[1, 37], Operations: ['61/61=1', '46-9=37']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
63,
34,
74,
32
] | 52 | [
"34-32=2",
"63*2=126",
"126-74=52"
] | Current State: 52:[63, 34, 74, 32], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [63, 74, 2]
Generated Node #2: [63, 74, 2] from Operation: 34-32=2
Current State: 52:[63, 74, 2], Operations: ['34-32=2']
Exploring Operation: 63*2=126, Resulting Numbers: [74, 126]
Generated Node #3: [74, 126] from Operation: 63*2=126
Current State: 52:[74, 126], Operations: ['34-32=2', '63*2=126']
Exploring Operation: 126-74=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[63, 34, 74, 32], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [63, 34, 42]
Generated Node #0,0: 52:[63, 34, 42] Operation: 74-32=42
Exploring Operation: 74-34=40, Resulting Numbers: [63, 32, 40]
Generated Node #0,1: 52:[63, 32, 40] Operation: 74-34=40
Exploring Operation: 74-63=11, Resulting Numbers: [34, 32, 11]
Generated Node #0,2: 52:[34, 32, 11] Operation: 74-63=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[34, 32, 11], Operations: ['74-63=11']
Exploring Operation: 34+11=45, Resulting Numbers: [32, 45]
Generated Node #0,2,0: 52:[32, 45] Operation: 34+11=45
Exploring Operation: 34-32=2, Resulting Numbers: [11, 2]
Generated Node #0,2,1: 52:[11, 2] Operation: 34-32=2
Exploring Operation: 34-11=23, Resulting Numbers: [32, 23]
Generated Node #0,2,2: 52:[32, 23] Operation: 34-11=23
Moving to Node #0,2,1
Current State: 52:[11, 2], Operations: ['74-63=11', '34-32=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[32, 23], Operations: ['74-63=11', '34-11=23']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,52 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[32, 45], Operations: ['74-63=11', '34+11=45']
Exploring Operation: 32+45=77, Resulting Numbers: [77]
77,52 unequal: No Solution
Exploring Operation: 32*45=1440, Resulting Numbers: [1440]
1440,52 unequal: No Solution
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[63, 34, 42], Operations: ['74-32=42']
Exploring Operation: 63-34=29, Resulting Numbers: [42, 29]
Generated Node #0,0,0: 52:[42, 29] Operation: 63-34=29
Exploring Operation: 63-42=21, Resulting Numbers: [34, 21]
Generated Node #0,0,1: 52:[34, 21] Operation: 63-42=21
Exploring Operation: 42-34=8, Resulting Numbers: [63, 8]
Generated Node #0,0,2: 52:[63, 8] Operation: 42-34=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[42, 29], Operations: ['74-32=42', '63-34=29']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,52 unequal: No Solution
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[34, 21], Operations: ['74-32=42', '63-42=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 34*21=714, Resulting Numbers: [714]
714,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[63, 8], Operations: ['74-32=42', '42-34=8']
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,52 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[63, 32, 40], Operations: ['74-34=40']
Exploring Operation: 63-32=31, Resulting Numbers: [40, 31]
Generated Node #0,1,0: 52:[40, 31] Operation: 63-32=31
Exploring Operation: 40-32=8, Resulting Numbers: [63, 8]
Generated Node #0,1,1: 52:[63, 8] Operation: 40-32=8
Exploring Operation: 63-40=23, Resulting Numbers: [32, 23]
Generated Node #0,1,2: 52:[32, 23] Operation: 63-40=23
Moving to Node #0,1,2
Current State: 52:[32, 23], Operations: ['74-34=40', '63-40=23']
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,52 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[63, 8], Operations: ['74-34=40', '40-32=8']
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,52 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[40, 31], Operations: ['74-34=40', '63-32=31']
Exploring Operation: 40+31=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 40*31=1240, Resulting Numbers: [1240]
1240,52 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 |
[
73,
39,
3,
64
] | 42 | [
"73-64=9",
"9/3=3",
"39+3=42"
] | Current State: 42:[73, 39, 3, 64], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [39, 3, 9]
Generated Node #2: [39, 3, 9] from Operation: 73-64=9
Current State: 42:[39, 3, 9], Operations: ['73-64=9']
Exploring Operation: 9/3=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 9/3=3
Current State: 42:[39, 3], Operations: ['73-64=9', '9/3=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[73, 39, 3, 64], Operations: []
Exploring Operation: 73-39=34, Resulting Numbers: [3, 64, 34]
Generated Node #0,0: 42:[3, 64, 34] Operation: 73-39=34
Exploring Operation: 73-64=9, Resulting Numbers: [39, 3, 9]
Generated Node #0,1: 42:[39, 3, 9] Operation: 73-64=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[39, 3, 9], Operations: ['73-64=9']
Exploring Operation: 39/3=13, Resulting Numbers: [9, 13]
Generated Node #0,1,0: 42:[9, 13] Operation: 39/3=13
Exploring Operation: 39+3=42, Resulting Numbers: [9, 42]
Generated Node #0,1,1: 42:[9, 42] Operation: 39+3=42
Moving to Node #0,1,1
Current State: 42:[9, 42], Operations: ['73-64=9', '39+3=42']
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[9, 13], Operations: ['73-64=9', '39/3=13']
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[3, 64, 34], Operations: ['73-39=34']
Exploring Operation: 64-34=30, Resulting Numbers: [3, 30]
Generated Node #0,0,0: 42:[3, 30] Operation: 64-34=30
Exploring Operation: 64-3=61, Resulting Numbers: [34, 61]
Generated Node #0,0,1: 42:[34, 61] Operation: 64-3=61
Moving to Node #0,0,0
Current State: 42:[3, 30], Operations: ['73-39=34', '64-34=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,42 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[34, 61], Operations: ['73-39=34', '64-3=61']
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,42 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,42 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 |
[
94,
70,
48,
42
] | 14 | [
"70*48=3360",
"3360/42=80",
"94-80=14"
] | Current State: 14:[94, 70, 48, 42], Operations: []
Exploring Operation: 70*48=3360, Resulting Numbers: [94, 42, 3360]
Generated Node #2: [94, 42, 3360] from Operation: 70*48=3360
Current State: 14:[94, 42, 3360], Operations: ['70*48=3360']
Exploring Operation: 3360/42=80, Resulting Numbers: [94, 80]
Generated Node #3: [94, 80] from Operation: 3360/42=80
Current State: 14:[94, 80], Operations: ['70*48=3360', '3360/42=80']
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[94, 70, 48, 42], Operations: []
Exploring Operation: 94-48=46, Resulting Numbers: [70, 42, 46]
Generated Node #0,0: 14:[70, 42, 46] Operation: 94-48=46
Exploring Operation: 94-70=24, Resulting Numbers: [48, 42, 24]
Generated Node #0,1: 14:[48, 42, 24] Operation: 94-70=24
Moving to Node #0,1
Current State: 14:[48, 42, 24], Operations: ['94-70=24']
Exploring Operation: 48-42=6, Resulting Numbers: [24, 6]
Generated Node #0,1,0: 14:[24, 6] Operation: 48-42=6
Exploring Operation: 48/24=2, Resulting Numbers: [42, 2]
Generated Node #0,1,1: 14:[42, 2] Operation: 48/24=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[24, 6], Operations: ['94-70=24', '48-42=6']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 24-6=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 #0,1,1
Current State: 14:[42, 2], Operations: ['94-70=24', '48/24=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,14 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,14 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:[70, 42, 46], Operations: ['94-48=46']
Exploring Operation: 70-46=24, Resulting Numbers: [42, 24]
Generated Node #0,0,0: 14:[42, 24] Operation: 70-46=24
Exploring Operation: 70-42=28, Resulting Numbers: [46, 28]
Generated Node #0,0,1: 14:[46, 28] Operation: 70-42=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[42, 24], Operations: ['94-48=46', '70-46=24']
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,14 unequal: No Solution
Exploring Operation: 42-24=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:[46, 28], Operations: ['94-48=46', '70-42=28']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,14 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 |
[
64,
89,
55,
77
] | 47 | [
"89-64=25",
"77-55=22",
"25+22=47"
] | Current State: 47:[64, 89, 55, 77], Operations: []
Exploring Operation: 89-64=25, Resulting Numbers: [55, 77, 25]
Generated Node #2: [55, 77, 25] from Operation: 89-64=25
Current State: 47:[55, 77, 25], Operations: ['89-64=25']
Exploring Operation: 77-55=22, Resulting Numbers: [25, 22]
Generated Node #3: [25, 22] from Operation: 77-55=22
Current State: 47:[25, 22], Operations: ['89-64=25', '77-55=22']
Exploring Operation: 25+22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[64, 89, 55, 77], Operations: []
Exploring Operation: 89-64=25, Resulting Numbers: [55, 77, 25]
Generated Node #0,0: 47:[55, 77, 25] Operation: 89-64=25
Exploring Operation: 89-55=34, Resulting Numbers: [64, 77, 34]
Generated Node #0,1: 47:[64, 77, 34] Operation: 89-55=34
Exploring Operation: 89-77=12, Resulting Numbers: [64, 55, 12]
Generated Node #0,2: 47:[64, 55, 12] Operation: 89-77=12
Moving to Node #0,0
Current State: 47:[55, 77, 25], Operations: ['89-64=25']
Exploring Operation: 77-25=52, Resulting Numbers: [55, 52]
Generated Node #0,0,0: 47:[55, 52] Operation: 77-25=52
Exploring Operation: 55-25=30, Resulting Numbers: [77, 30]
Generated Node #0,0,1: 47:[77, 30] Operation: 55-25=30
Exploring Operation: 77-55=22, Resulting Numbers: [25, 22]
Generated Node #0,0,2: 47:[25, 22] Operation: 77-55=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[55, 52], Operations: ['89-64=25', '77-25=52']
Exploring Operation: 55*52=2860, Resulting Numbers: [2860]
2860,47 unequal: No Solution
Exploring Operation: 55+52=107, Resulting Numbers: [107]
107,47 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,47 unequal: No Solution
No 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: 47:[77, 30], Operations: ['89-64=25', '55-25=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[64, 89, 55, 77], Operations: []
Exploring Operation: 89-64=25, Resulting Numbers: [55, 77, 25]
Generated Node #0,0: 47:[55, 77, 25] Operation: 89-64=25
Moving to Node #0,0
Current State: 47:[55, 77, 25], Operations: ['89-64=25']
Exploring Operation: 55-25=30, Resulting Numbers: [77, 30]
Generated Node #0,0,1: 47:[77, 30] Operation: 55-25=30
Moving to Node #0,0,1
Current State: 47:[77, 30], Operations: ['89-64=25', '55-25=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
90,
47,
62,
39
] | 76 | [
"90*39=3510",
"62+3510=3572",
"3572/47=76"
] | Current State: 76:[90, 47, 62, 39], Operations: []
Exploring Operation: 90*39=3510, Resulting Numbers: [47, 62, 3510]
Generated Node #2: [47, 62, 3510] from Operation: 90*39=3510
Current State: 76:[47, 62, 3510], Operations: ['90*39=3510']
Exploring Operation: 62+3510=3572, Resulting Numbers: [47, 3572]
Generated Node #3: [47, 3572] from Operation: 62+3510=3572
Current State: 76:[47, 3572], Operations: ['90*39=3510', '62+3510=3572']
Exploring Operation: 3572/47=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[90, 47, 62, 39], Operations: []
Exploring Operation: 90-62=28, Resulting Numbers: [47, 39, 28]
Generated Node #0,0: 76:[47, 39, 28] Operation: 90-62=28
Moving to Node #0,0
Current State: 76:[47, 39, 28], Operations: ['90-62=28']
Exploring Operation: 47-28=19, Resulting Numbers: [39, 19]
Generated Node #0,0,0: 76:[39, 19] Operation: 47-28=19
Moving to Node #0,0,0
Current State: 76:[39, 19], Operations: ['90-62=28', '47-28=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,76 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
52,
8,
39
] | 100 | [
"52-39=13",
"8*13=104",
"104-4=100"
] | Current State: 100:[4, 52, 8, 39], Operations: []
Exploring Operation: 52-39=13, Resulting Numbers: [4, 8, 13]
Generated Node #2: [4, 8, 13] from Operation: 52-39=13
Current State: 100:[4, 8, 13], Operations: ['52-39=13']
Exploring Operation: 8*13=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 8*13=104
Current State: 100:[4, 104], Operations: ['52-39=13', '8*13=104']
Exploring Operation: 104-4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[4, 52, 8, 39], Operations: []
Exploring Operation: 39-8=31, Resulting Numbers: [4, 52, 31]
Generated Node #0,0: 100:[4, 52, 31] Operation: 39-8=31
Exploring Operation: 8+39=47, Resulting Numbers: [4, 52, 47]
Generated Node #0,1: 100:[4, 52, 47] Operation: 8+39=47
Exploring Operation: 52-39=13, Resulting Numbers: [4, 8, 13]
Generated Node #0,2: 100:[4, 8, 13] Operation: 52-39=13
Exploring Operation: 4+39=43, Resulting Numbers: [52, 8, 43]
Generated Node #0,3: 100:[52, 8, 43] Operation: 4+39=43
Moving to Node #0,1
Current State: 100:[4, 52, 47], Operations: ['8+39=47']
Exploring Operation: 52-4=48, Resulting Numbers: [47, 48]
Generated Node #0,1,0: 100:[47, 48] Operation: 52-4=48
Exploring Operation: 52-47=5, Resulting Numbers: [4, 5]
Generated Node #0,1,1: 100:[4, 5] Operation: 52-47=5
Exploring Operation: 4+47=51, Resulting Numbers: [52, 51]
Generated Node #0,1,2: 100:[52, 51] Operation: 4+47=51
Exploring Operation: 52+47=99, Resulting Numbers: [4, 99]
Generated Node #0,1,3: 100:[4, 99] Operation: 52+47=99
Moving to Node #0,2
Current State: 100:[4, 8, 13], Operations: ['52-39=13']
Exploring Operation: 8+13=21, Resulting Numbers: [4, 21]
Generated Node #0,2,0: 100:[4, 21] Operation: 8+13=21
Exploring Operation: 8-4=4, Resulting Numbers: [13, 4]
Generated Node #0,2,1: 100:[13, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [13, 2]
Generated Node #0,2,2: 100:[13, 2] Operation: 8/4=2
Exploring Operation: 13-8=5, Resulting Numbers: [4, 5]
Generated Node #0,2,3: 100:[4, 5] Operation: 13-8=5
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 100:[4, 5], Operations: ['52-39=13', '13-8=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 100:[4, 21], Operations: ['52-39=13', '8+13=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,100 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[13, 4], Operations: ['52-39=13', '8-4=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 100:[13, 2], Operations: ['52-39=13', '8/4=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 100:[4, 52, 31], Operations: ['39-8=31']
Exploring Operation: 52-4=48, Resulting Numbers: [31, 48]
Generated Node #0,0,0: 100:[31, 48] Operation: 52-4=48
Exploring Operation: 52-31=21, Resulting Numbers: [4, 21]
Generated Node #0,0,1: 100:[4, 21] Operation: 52-31=21
Exploring Operation: 52/4=13, Resulting Numbers: [31, 13]
Generated Node #0,0,2: 100:[31, 13] Operation: 52/4=13
Exploring Operation: 31-4=27, Resulting Numbers: [52, 27]
Generated Node #0,0,3: 100:[52, 27] Operation: 31-4=27
Moving to Node #0,3
Current State: 100:[52, 8, 43], Operations: ['4+39=43']
Exploring Operation: 52+43=95, Resulting Numbers: [8, 95]
Generated Node #0,3,0: 100:[8, 95] Operation: 52+43=95
Exploring Operation: 52-43=9, Resulting Numbers: [8, 9]
Generated Node #0,3,1: 100:[8, 9] Operation: 52-43=9
Exploring Operation: 8+43=51, Resulting Numbers: [52, 51]
Generated Node #0,3,2: 100:[52, 51] Operation: 8+43=51
Exploring Operation: 43-8=35, Resulting Numbers: [52, 35]
Generated Node #0,3,3: 100:[52, 35] Operation: 43-8=35
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 100:[8, 9], Operations: ['4+39=43', '52-43=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 100:[52, 51], Operations: ['4+39=43', '8+43=51']
Exploring Operation: 52+51=103, Resulting Numbers: [103]
103,100 unequal: No Solution
Exploring Operation: 52*51=2652, Resulting Numbers: [2652]
2652,100 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 100:[8, 95], Operations: ['4+39=43', '52+43=95']
Exploring Operation: 8+95=103, Resulting Numbers: [103]
103,100 unequal: No Solution
Exploring Operation: 8*95=760, Resulting Numbers: [760]
760,100 unequal: No Solution
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 100:[52, 35], Operations: ['4+39=43', '43-8=35']
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,100 unequal: No Solution
Exploring Operation: 52*35=1820, Resulting Numbers: [1820]
1820,100 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: 100:[4, 5], Operations: ['8+39=47', '52-47=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[4, 99], Operations: ['8+39=47', '52+47=99']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,100 unequal: No Solution
Exploring Operation: 4*99=396, Resulting Numbers: [396]
396,100 unequal: No Solution
Exploring Operation: 4+99=103, Resulting Numbers: [103]
103,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[4, 21], Operations: ['39-8=31', '52-31=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[52, 51], Operations: ['8+39=47', '4+47=51']
Exploring Operation: 52*51=2652, Resulting Numbers: [2652]
2652,100 unequal: No Solution
Exploring Operation: 52+51=103, Resulting Numbers: [103]
103,100 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[52, 27], Operations: ['39-8=31', '31-4=27']
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[47, 48], Operations: ['8+39=47', '52-4=48']
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 47*48=2256, Resulting Numbers: [2256]
2256,100 unequal: No Solution
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[31, 48], Operations: ['39-8=31', '52-4=48']
Exploring Operation: 31+48=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 31*48=1488, Resulting Numbers: [1488]
1488,100 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[31, 13], Operations: ['39-8=31', '52/4=13']
Exploring Operation: 31*13=403, Resulting Numbers: [403]
403,100 unequal: No Solution
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,100 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
87,
32,
87,
2
] | 17 | [
"87/87=1",
"32/2=16",
"1+16=17"
] | Current State: 17:[87, 32, 87, 2], Operations: []
Exploring Operation: 87/87=1, Resulting Numbers: [32, 2, 1]
Generated Node #2: [32, 2, 1] from Operation: 87/87=1
Current State: 17:[32, 2, 1], Operations: ['87/87=1']
Exploring Operation: 32/2=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 32/2=16
Current State: 17:[1, 16], Operations: ['87/87=1', '32/2=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[87, 32, 87, 2], Operations: []
Exploring Operation: 87-32=55, Resulting Numbers: [87, 2, 55]
Generated Node #0,0: 17:[87, 2, 55] Operation: 87-32=55
Exploring Operation: 87/87=1, Resulting Numbers: [32, 2, 1]
Generated Node #0,1: 17:[32, 2, 1] Operation: 87/87=1
Exploring Operation: 87-87=0, Resulting Numbers: [32, 2, 0]
Generated Node #0,2: 17:[32, 2, 0] Operation: 87-87=0
Moving to Node #0,1
Current State: 17:[32, 2, 1], Operations: ['87/87=1']
Exploring Operation: 32/2=16, Resulting Numbers: [1, 16]
Generated Node #0,1,0: 17:[1, 16] Operation: 32/2=16
Exploring Operation: 32-2=30, Resulting Numbers: [1, 30]
Generated Node #0,1,1: 17:[1, 30] Operation: 32-2=30
Exploring Operation: 32-1=31, Resulting Numbers: [2, 31]
Generated Node #0,1,2: 17:[2, 31] Operation: 32-1=31
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[1, 16], Operations: ['87/87=1', '32/2=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[87, 32, 87, 2], Operations: []
Exploring Operation: 87/87=1, Resulting Numbers: [32, 2, 1]
Generated Node #0,1: 17:[32, 2, 1] Operation: 87/87=1
Moving to Node #0,1
Current State: 17:[32, 2, 1], Operations: ['87/87=1']
Exploring Operation: 32/2=16, Resulting Numbers: [1, 16]
Generated Node #0,1,0: 17:[1, 16] Operation: 32/2=16
Moving to Node #0,1,0
Current State: 17:[1, 16], Operations: ['87/87=1', '32/2=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
34,
96,
95,
18
] | 16 | [
"34-18=16",
"96-95=1",
"16*1=16"
] | Current State: 16:[34, 96, 95, 18], Operations: []
Exploring Operation: 34-18=16, Resulting Numbers: [96, 95, 16]
Generated Node #2: [96, 95, 16] from Operation: 34-18=16
Current State: 16:[96, 95, 16], Operations: ['34-18=16']
Exploring Operation: 96-95=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 96-95=1
Current State: 16:[16, 1], Operations: ['34-18=16', '96-95=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[34, 96, 95, 18], Operations: []
Exploring Operation: 96-95=1, Resulting Numbers: [34, 18, 1]
Generated Node #0,0: 16:[34, 18, 1] Operation: 96-95=1
Exploring Operation: 96-34=62, Resulting Numbers: [95, 18, 62]
Generated Node #0,1: 16:[95, 18, 62] Operation: 96-34=62
Moving to Node #0,0
Current State: 16:[34, 18, 1], Operations: ['96-95=1']
Exploring Operation: 34-18=16, Resulting Numbers: [1, 16]
Generated Node #0,0,0: 16:[1, 16] Operation: 34-18=16
Exploring Operation: 34-1=33, Resulting Numbers: [18, 33]
Generated Node #0,0,1: 16:[18, 33] Operation: 34-1=33
Moving to Node #0,1
Current State: 16:[95, 18, 62], Operations: ['96-34=62']
Exploring Operation: 95-62=33, Resulting Numbers: [18, 33]
Generated Node #0,1,0: 16:[18, 33] Operation: 95-62=33
Exploring Operation: 95-18=77, Resulting Numbers: [62, 77]
Generated Node #0,1,1: 16:[62, 77] Operation: 95-18=77
Moving to Node #0,0,0
Current State: 16:[1, 16], Operations: ['96-95=1', '34-18=16']
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[34, 96, 95, 18], Operations: []
Exploring Operation: 96-95=1, Resulting Numbers: [34, 18, 1]
Generated Node #0,0: 16:[34, 18, 1] Operation: 96-95=1
Moving to Node #0,0
Current State: 16:[34, 18, 1], Operations: ['96-95=1']
Exploring Operation: 34-18=16, Resulting Numbers: [1, 16]
Generated Node #0,0,0: 16:[1, 16] Operation: 34-18=16
Moving to Node #0,0,0
Current State: 16:[1, 16], Operations: ['96-95=1', '34-18=16']
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
8,
23,
45,
99
] | 77 | [
"45-23=22",
"8*22=176",
"176-99=77"
] | Current State: 77:[8, 23, 45, 99], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [8, 99, 22]
Generated Node #2: [8, 99, 22] from Operation: 45-23=22
Current State: 77:[8, 99, 22], Operations: ['45-23=22']
Exploring Operation: 8*22=176, Resulting Numbers: [99, 176]
Generated Node #3: [99, 176] from Operation: 8*22=176
Current State: 77:[99, 176], Operations: ['45-23=22', '8*22=176']
Exploring Operation: 176-99=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[8, 23, 45, 99], Operations: []
Exploring Operation: 23+45=68, Resulting Numbers: [8, 99, 68]
Generated Node #0,0: 77:[8, 99, 68] Operation: 23+45=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[8, 99, 68], Operations: ['23+45=68']
Exploring Operation: 99-68=31, Resulting Numbers: [8, 31]
Generated Node #0,0,0: 77:[8, 31] Operation: 99-68=31
Moving to Node #0,0,0
Current State: 77:[8, 31], Operations: ['23+45=68', '99-68=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,77 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 |
[
33,
44,
8,
80
] | 77 | [
"44-33=11",
"8+80=88",
"88-11=77"
] | Current State: 77:[33, 44, 8, 80], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [8, 80, 11]
Generated Node #2: [8, 80, 11] from Operation: 44-33=11
Current State: 77:[8, 80, 11], Operations: ['44-33=11']
Exploring Operation: 8+80=88, Resulting Numbers: [11, 88]
Generated Node #3: [11, 88] from Operation: 8+80=88
Current State: 77:[11, 88], Operations: ['44-33=11', '8+80=88']
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[33, 44, 8, 80], Operations: []
Exploring Operation: 33+44=77, Resulting Numbers: [8, 80, 77]
Generated Node #0,0: 77:[8, 80, 77] Operation: 33+44=77
Exploring Operation: 33-8=25, Resulting Numbers: [44, 80, 25]
Generated Node #0,1: 77:[44, 80, 25] Operation: 33-8=25
Exploring Operation: 80-44=36, Resulting Numbers: [33, 8, 36]
Generated Node #0,2: 77:[33, 8, 36] Operation: 80-44=36
Exploring Operation: 44+8=52, Resulting Numbers: [33, 80, 52]
Generated Node #0,3: 77:[33, 80, 52] Operation: 44+8=52
Exploring Operation: 44-33=11, Resulting Numbers: [8, 80, 11]
Generated Node #0,4: 77:[8, 80, 11] Operation: 44-33=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[8, 80, 77], Operations: ['33+44=77']
Exploring Operation: 80/8=10, Resulting Numbers: [77, 10]
Generated Node #0,0,0: 77:[77, 10] Operation: 80/8=10
Exploring Operation: 8+80=88, Resulting Numbers: [77, 88]
Generated Node #0,0,1: 77:[77, 88] Operation: 8+80=88
Exploring Operation: 80-8=72, Resulting Numbers: [77, 72]
Generated Node #0,0,2: 77:[77, 72] Operation: 80-8=72
Exploring Operation: 80-77=3, Resulting Numbers: [8, 3]
Generated Node #0,0,3: 77:[8, 3] Operation: 80-77=3
Exploring Operation: 8+77=85, Resulting Numbers: [80, 85]
Generated Node #0,0,4: 77:[80, 85] Operation: 8+77=85
Moving to Node #0,0,0
Current State: 77:[77, 10], Operations: ['33+44=77', '80/8=10']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 77*10=770, Resulting Numbers: [770]
770,77 unequal: No Solution
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[8, 3], Operations: ['33+44=77', '80-77=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[77, 72], Operations: ['33+44=77', '80-8=72']
Exploring Operation: 77*72=5544, Resulting Numbers: [5544]
5544,77 unequal: No Solution
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 77+72=149, Resulting Numbers: [149]
149,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[77, 88], Operations: ['33+44=77', '8+80=88']
Exploring Operation: 77*88=6776, Resulting Numbers: [6776]
6776,77 unequal: No Solution
Exploring Operation: 77+88=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Exploring Operation: 88-77=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Moving to Node #0,0,4
Current State: 77:[80, 85], Operations: ['33+44=77', '8+77=85']
Exploring Operation: 80+85=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Exploring Operation: 80*85=6800, Resulting Numbers: [6800]
6800,77 unequal: No Solution
Exploring Operation: 85-80=5, Resulting Numbers: [5]
5,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 77:[8, 80, 11], Operations: ['44-33=11']
Exploring Operation: 80/8=10, Resulting Numbers: [11, 10]
Generated Node #0,4,0: 77:[11, 10] Operation: 80/8=10
Exploring Operation: 80-8=72, Resulting Numbers: [11, 72]
Generated Node #0,4,1: 77:[11, 72] Operation: 80-8=72
Exploring Operation: 8+80=88, Resulting Numbers: [11, 88]
Generated Node #0,4,2: 77:[11, 88] Operation: 8+80=88
Exploring Operation: 80-11=69, Resulting Numbers: [8, 69]
Generated Node #0,4,3: 77:[8, 69] Operation: 80-11=69
Exploring Operation: 11-8=3, Resulting Numbers: [80, 3]
Generated Node #0,4,4: 77:[80, 3] Operation: 11-8=3
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 77:[11, 10], Operations: ['44-33=11', '80/8=10']
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,77 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 77:[11, 72], Operations: ['44-33=11', '80-8=72']
Exploring Operation: 11+72=83, Resulting Numbers: [83]
83,77 unequal: No Solution
Exploring Operation: 11*72=792, Resulting Numbers: [792]
792,77 unequal: No Solution
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 77:[80, 3], Operations: ['44-33=11', '11-8=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[33, 44, 8, 80], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [8, 80, 11]
Generated Node #0,4: 77:[8, 80, 11] Operation: 44-33=11
Moving to Node #0,4
Current State: 77:[8, 80, 11], Operations: ['44-33=11']
Exploring Operation: 11-8=3, Resulting Numbers: [80, 3]
Generated Node #0,4,4: 77:[80, 3] Operation: 11-8=3
Moving to Node #0,4,4
Current State: 77:[80, 3], Operations: ['44-33=11', '11-8=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96441 | hs_5 | mult_heuristic |
[
41,
21,
14,
70
] | 67 | [
"41+21=62",
"70/14=5",
"62+5=67"
] | Current State: 67:[41, 21, 14, 70], Operations: []
Exploring Operation: 41+21=62, Resulting Numbers: [14, 70, 62]
Generated Node #2: [14, 70, 62] from Operation: 41+21=62
Current State: 67:[14, 70, 62], Operations: ['41+21=62']
Exploring Operation: 70/14=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 70/14=5
Current State: 67:[62, 5], Operations: ['41+21=62', '70/14=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[41, 21, 14, 70], Operations: []
Exploring Operation: 21+14=35, Resulting Numbers: [41, 70, 35]
Generated Node #0,0: 67:[41, 70, 35] Operation: 21+14=35
Exploring Operation: 70-14=56, Resulting Numbers: [41, 21, 56]
Generated Node #0,1: 67:[41, 21, 56] Operation: 70-14=56
Exploring Operation: 41+14=55, Resulting Numbers: [21, 70, 55]
Generated Node #0,2: 67:[21, 70, 55] Operation: 41+14=55
Exploring Operation: 41+21=62, Resulting Numbers: [14, 70, 62]
Generated Node #0,3: 67:[14, 70, 62] Operation: 41+21=62
Moving to Node #0,0
Current State: 67:[41, 70, 35], Operations: ['21+14=35']
Exploring Operation: 41+35=76, Resulting Numbers: [70, 76]
Generated Node #0,0,0: 67:[70, 76] Operation: 41+35=76
Exploring Operation: 41-35=6, Resulting Numbers: [70, 6]
Generated Node #0,0,1: 67:[70, 6] Operation: 41-35=6
Exploring Operation: 70+35=105, Resulting Numbers: [41, 105]
Generated Node #0,0,2: 67:[41, 105] Operation: 70+35=105
Exploring Operation: 70-35=35, Resulting Numbers: [41, 35]
Generated Node #0,0,3: 67:[41, 35] Operation: 70-35=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[70, 76], Operations: ['21+14=35', '41+35=76']
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,67 unequal: No Solution
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 67:[41, 35], Operations: ['21+14=35', '70-35=35']
Exploring Operation: 41*35=1435, Resulting Numbers: [1435]
1435,67 unequal: No Solution
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[70, 6], Operations: ['21+14=35', '41-35=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,67 unequal: No Solution
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 67:[41, 105], Operations: ['21+14=35', '70+35=105']
Exploring Operation: 105-41=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 41*105=4305, Resulting Numbers: [4305]
4305,67 unequal: No Solution
Exploring Operation: 41+105=146, Resulting Numbers: [146]
146,67 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: 67:[14, 70, 62], Operations: ['41+21=62']
Exploring Operation: 14+62=76, Resulting Numbers: [70, 76]
Generated Node #0,3,0: 67:[70, 76] Operation: 14+62=76
Exploring Operation: 14+70=84, Resulting Numbers: [62, 84]
Generated Node #0,3,1: 67:[62, 84] Operation: 14+70=84
Exploring Operation: 62-14=48, Resulting Numbers: [70, 48]
Generated Node #0,3,2: 67:[70, 48] Operation: 62-14=48
Exploring Operation: 70-14=56, Resulting Numbers: [62, 56]
Generated Node #0,3,3: 67:[62, 56] Operation: 70-14=56
Moving to Node #0,2
Current State: 67:[21, 70, 55], Operations: ['41+14=55']
Exploring Operation: 21+70=91, Resulting Numbers: [55, 91]
Generated Node #0,2,0: 67:[55, 91] Operation: 21+70=91
Exploring Operation: 55-21=34, Resulting Numbers: [70, 34]
Generated Node #0,2,1: 67:[70, 34] Operation: 55-21=34
Exploring Operation: 21+55=76, Resulting Numbers: [70, 76]
Generated Node #0,2,2: 67:[70, 76] Operation: 21+55=76
Exploring Operation: 70-21=49, Resulting Numbers: [55, 49]
Generated Node #0,2,3: 67:[55, 49] Operation: 70-21=49
Moving to Node #0,1
Current State: 67:[41, 21, 56], Operations: ['70-14=56']
Exploring Operation: 56-21=35, Resulting Numbers: [41, 35]
Generated Node #0,1,0: 67:[41, 35] Operation: 56-21=35
Exploring Operation: 41+21=62, Resulting Numbers: [56, 62]
Generated Node #0,1,1: 67:[56, 62] Operation: 41+21=62
Exploring Operation: 21+56=77, Resulting Numbers: [41, 77]
Generated Node #0,1,2: 67:[41, 77] Operation: 21+56=77
Exploring Operation: 41-21=20, Resulting Numbers: [56, 20]
Generated Node #0,1,3: 67:[56, 20] Operation: 41-21=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[56, 62], Operations: ['70-14=56', '41+21=62']
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,67 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 67:[41, 77], Operations: ['70-14=56', '21+56=77']
Exploring Operation: 41+77=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Exploring Operation: 77-41=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 41*77=3157, Resulting Numbers: [3157]
3157,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[41, 35], Operations: ['70-14=56', '56-21=35']
Exploring Operation: 41*35=1435, Resulting Numbers: [1435]
1435,67 unequal: No Solution
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 67:[56, 20], Operations: ['70-14=56', '41-21=20']
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,67 unequal: No Solution
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 67:[70, 76], Operations: ['41+21=62', '14+62=76']
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,67 unequal: No Solution
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,67 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[70, 76], Operations: ['41+14=55', '21+55=76']
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,67 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[62, 56], Operations: ['41+21=62', '70-14=56']
Exploring Operation: 62*56=3472, Resulting Numbers: [3472]
3472,67 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Exploring Operation: 62+56=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[62, 84], Operations: ['41+21=62', '14+70=84']
Exploring Operation: 62*84=5208, Resulting Numbers: [5208]
5208,67 unequal: No Solution
Exploring Operation: 84-62=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Exploring Operation: 62+84=146, Resulting Numbers: [146]
146,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[70, 48], Operations: ['41+21=62', '62-14=48']
Exploring Operation: 70+48=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Exploring Operation: 70*48=3360, Resulting Numbers: [3360]
3360,67 unequal: No Solution
Exploring Operation: 70-48=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[55, 49], Operations: ['41+14=55', '70-21=49']
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,67 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[55, 91], Operations: ['41+14=55', '21+70=91']
Exploring Operation: 91-55=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 55+91=146, Resulting Numbers: [146]
146,67 unequal: No Solution
Exploring Operation: 55*91=5005, Resulting Numbers: [5005]
5005,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[70, 34], Operations: ['41+14=55', '55-21=34']
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 70*34=2380, Resulting Numbers: [2380]
2380,67 unequal: No Solution
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,67 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
48,
28,
71,
92
] | 41 | [
"48-28=20",
"92-71=21",
"20+21=41"
] | Current State: 41:[48, 28, 71, 92], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [71, 92, 20]
Generated Node #2: [71, 92, 20] from Operation: 48-28=20
Current State: 41:[71, 92, 20], Operations: ['48-28=20']
Exploring Operation: 92-71=21, Resulting Numbers: [20, 21]
Generated Node #3: [20, 21] from Operation: 92-71=21
Current State: 41:[20, 21], Operations: ['48-28=20', '92-71=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[48, 28, 71, 92], Operations: []
Exploring Operation: 92-48=44, Resulting Numbers: [28, 71, 44]
Generated Node #0,0: 41:[28, 71, 44] Operation: 92-48=44
Exploring Operation: 71-28=43, Resulting Numbers: [48, 92, 43]
Generated Node #0,1: 41:[48, 92, 43] Operation: 71-28=43
Exploring Operation: 92-28=64, Resulting Numbers: [48, 71, 64]
Generated Node #0,2: 41:[48, 71, 64] Operation: 92-28=64
Exploring Operation: 92-71=21, Resulting Numbers: [48, 28, 21]
Generated Node #0,3: 41:[48, 28, 21] Operation: 92-71=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[48, 28, 21], Operations: ['92-71=21']
Exploring Operation: 48-28=20, Resulting Numbers: [21, 20]
Generated Node #0,3,0: 41:[21, 20] Operation: 48-28=20
Exploring Operation: 28+21=49, Resulting Numbers: [48, 49]
Generated Node #0,3,1: 41:[48, 49] Operation: 28+21=49
Exploring Operation: 48+21=69, Resulting Numbers: [28, 69]
Generated Node #0,3,2: 41:[28, 69] Operation: 48+21=69
Exploring Operation: 48-21=27, Resulting Numbers: [28, 27]
Generated Node #0,3,3: 41:[28, 27] Operation: 48-21=27
Moving to Node #0,3,1
Current State: 41:[48, 49], Operations: ['92-71=21', '28+21=49']
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,41 unequal: No Solution
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,41 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[28, 27], Operations: ['92-71=21', '48-21=27']
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[28, 69], Operations: ['92-71=21', '48+21=69']
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[48, 28, 71, 92], Operations: []
Exploring Operation: 92-71=21, Resulting Numbers: [48, 28, 21]
Generated Node #0,3: 41:[48, 28, 21] Operation: 92-71=21
Moving to Node #0,3
Current State: 41:[48, 28, 21], Operations: ['92-71=21']
Exploring Operation: 48+21=69, Resulting Numbers: [28, 69]
Generated Node #0,3,2: 41:[28, 69] Operation: 48+21=69
Moving to Node #0,3,2
Current State: 41:[28, 69], Operations: ['92-71=21', '48+21=69']
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
26,
41,
24,
23
] | 49 | [
"26-23=3",
"24/3=8",
"41+8=49"
] | Current State: 49:[26, 41, 24, 23], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [41, 24, 3]
Generated Node #2: [41, 24, 3] from Operation: 26-23=3
Current State: 49:[41, 24, 3], Operations: ['26-23=3']
Exploring Operation: 24/3=8, Resulting Numbers: [41, 8]
Generated Node #3: [41, 8] from Operation: 24/3=8
Current State: 49:[41, 8], Operations: ['26-23=3', '24/3=8']
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[26, 41, 24, 23], Operations: []
Exploring Operation: 26+24=50, Resulting Numbers: [41, 23, 50]
Generated Node #0,0: 49:[41, 23, 50] Operation: 26+24=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[41, 23, 50], Operations: ['26+24=50']
Exploring Operation: 41-23=18, Resulting Numbers: [50, 18]
Generated Node #0,0,0: 49:[50, 18] Operation: 41-23=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[50, 18], Operations: ['26+24=50', '41-23=18']
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
12,
48,
67,
97
] | 66 | [
"48-12=36",
"97-67=30",
"36+30=66"
] | Current State: 66:[12, 48, 67, 97], Operations: []
Exploring Operation: 48-12=36, Resulting Numbers: [67, 97, 36]
Generated Node #2: [67, 97, 36] from Operation: 48-12=36
Current State: 66:[67, 97, 36], Operations: ['48-12=36']
Exploring Operation: 97-67=30, Resulting Numbers: [36, 30]
Generated Node #3: [36, 30] from Operation: 97-67=30
Current State: 66:[36, 30], Operations: ['48-12=36', '97-67=30']
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[12, 48, 67, 97], Operations: []
Exploring Operation: 97-12=85, Resulting Numbers: [48, 67, 85]
Generated Node #0,0: 66:[48, 67, 85] Operation: 97-12=85
Exploring Operation: 48-12=36, Resulting Numbers: [67, 97, 36]
Generated Node #0,1: 66:[67, 97, 36] Operation: 48-12=36
Exploring Operation: 48/12=4, Resulting Numbers: [67, 97, 4]
Generated Node #0,2: 66:[67, 97, 4] Operation: 48/12=4
Exploring Operation: 97-48=49, Resulting Numbers: [12, 67, 49]
Generated Node #0,3: 66:[12, 67, 49] Operation: 97-48=49
Exploring Operation: 97-67=30, Resulting Numbers: [12, 48, 30]
Generated Node #0,4: 66:[12, 48, 30] Operation: 97-67=30
Moving to Node #0,3
Current State: 66:[12, 67, 49], Operations: ['97-48=49']
Exploring Operation: 67-12=55, Resulting Numbers: [49, 55]
Generated Node #0,3,0: 66:[49, 55] Operation: 67-12=55
Exploring Operation: 49-12=37, Resulting Numbers: [67, 37]
Generated Node #0,3,1: 66:[67, 37] Operation: 49-12=37
Exploring Operation: 12+67=79, Resulting Numbers: [49, 79]
Generated Node #0,3,2: 66:[49, 79] Operation: 12+67=79
Exploring Operation: 67-49=18, Resulting Numbers: [12, 18]
Generated Node #0,3,3: 66:[12, 18] Operation: 67-49=18
Exploring Operation: 12+49=61, Resulting Numbers: [67, 61]
Generated Node #0,3,4: 66:[67, 61] Operation: 12+49=61
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[67, 37], Operations: ['97-48=49', '49-12=37']
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 67*37=2479, Resulting Numbers: [2479]
2479,66 unequal: No Solution
Exploring Operation: 67+37=104, Resulting Numbers: [104]
104,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 66:[12, 18], Operations: ['97-48=49', '67-49=18']
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,66 unequal: No Solution
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 66:[67, 61], Operations: ['97-48=49', '12+49=61']
Exploring Operation: 67*61=4087, Resulting Numbers: [4087]
4087,66 unequal: No Solution
Exploring Operation: 67+61=128, Resulting Numbers: [128]
128,66 unequal: No Solution
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[49, 55], Operations: ['97-48=49', '67-12=55']
Exploring Operation: 49+55=104, Resulting Numbers: [104]
104,66 unequal: No Solution
Exploring Operation: 49*55=2695, Resulting Numbers: [2695]
2695,66 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 66:[49, 79], Operations: ['97-48=49', '12+67=79']
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 49+79=128, Resulting Numbers: [128]
128,66 unequal: No Solution
Exploring Operation: 49*79=3871, Resulting Numbers: [3871]
3871,66 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: 66:[12, 48, 30], Operations: ['97-67=30']
Exploring Operation: 48+30=78, Resulting Numbers: [12, 78]
Generated Node #0,4,0: 66:[12, 78] Operation: 48+30=78
Exploring Operation: 48-30=18, Resulting Numbers: [12, 18]
Generated Node #0,4,1: 66:[12, 18] Operation: 48-30=18
Exploring Operation: 48-12=36, Resulting Numbers: [30, 36]
Generated Node #0,4,2: 66:[30, 36] Operation: 48-12=36
Exploring Operation: 12+48=60, Resulting Numbers: [30, 60]
Generated Node #0,4,3: 66:[30, 60] Operation: 12+48=60
Exploring Operation: 48/12=4, Resulting Numbers: [30, 4]
Generated Node #0,4,4: 66:[30, 4] Operation: 48/12=4
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 66:[30, 4], Operations: ['97-67=30', '48/12=4']
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,66 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 66:[12, 18], Operations: ['97-67=30', '48-30=18']
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,66 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 66:[30, 36], Operations: ['97-67=30', '48-12=36']
Exploring Operation: 30*36=1080, Resulting Numbers: [1080]
1080,66 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[12, 48, 67, 97], Operations: []
Exploring Operation: 97-67=30, Resulting Numbers: [12, 48, 30]
Generated Node #0,4: 66:[12, 48, 30] Operation: 97-67=30
Moving to Node #0,4
Current State: 66:[12, 48, 30], Operations: ['97-67=30']
Exploring Operation: 48-12=36, Resulting Numbers: [30, 36]
Generated Node #0,4,2: 66:[30, 36] Operation: 48-12=36
Moving to Node #0,4,2
Current State: 66:[30, 36], Operations: ['97-67=30', '48-12=36']
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_5 | sum_heuristic |
[
95,
3,
93,
67
] | 68 | [
"95-3=92",
"93+67=160",
"160-92=68"
] | Current State: 68:[95, 3, 93, 67], Operations: []
Exploring Operation: 95-3=92, Resulting Numbers: [93, 67, 92]
Generated Node #2: [93, 67, 92] from Operation: 95-3=92
Current State: 68:[93, 67, 92], Operations: ['95-3=92']
Exploring Operation: 93+67=160, Resulting Numbers: [92, 160]
Generated Node #3: [92, 160] from Operation: 93+67=160
Current State: 68:[92, 160], Operations: ['95-3=92', '93+67=160']
Exploring Operation: 160-92=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[95, 3, 93, 67], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [3, 67, 2]
Generated Node #0,0: 68:[3, 67, 2] Operation: 95-93=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[3, 67, 2], Operations: ['95-93=2']
Exploring Operation: 3+67=70, Resulting Numbers: [2, 70]
Generated Node #0,0,0: 68:[2, 70] Operation: 3+67=70
Moving to Node #0,0,0
Current State: 68:[2, 70], Operations: ['95-93=2', '3+67=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[95, 3, 93, 67], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [3, 67, 2]
Generated Node #0,0: 68:[3, 67, 2] Operation: 95-93=2
Moving to Node #0,0
Current State: 68:[3, 67, 2], Operations: ['95-93=2']
Exploring Operation: 3+67=70, Resulting Numbers: [2, 70]
Generated Node #0,0,0: 68:[2, 70] Operation: 3+67=70
Moving to Node #0,0,0
Current State: 68:[2, 70], Operations: ['95-93=2', '3+67=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
19,
36,
19,
41
] | 76 | [
"19/19=1",
"36+41=77",
"77-1=76"
] | Current State: 76:[19, 36, 19, 41], Operations: []
Exploring Operation: 19/19=1, Resulting Numbers: [36, 41, 1]
Generated Node #2: [36, 41, 1] from Operation: 19/19=1
Current State: 76:[36, 41, 1], Operations: ['19/19=1']
Exploring Operation: 36+41=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 36+41=77
Current State: 76:[1, 77], Operations: ['19/19=1', '36+41=77']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[19, 36, 19, 41], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [19, 19, 5]
Generated Node #0,0: 76:[19, 19, 5] Operation: 41-36=5
Exploring Operation: 36+41=77, Resulting Numbers: [19, 19, 77]
Generated Node #0,1: 76:[19, 19, 77] Operation: 36+41=77
Exploring Operation: 36-19=17, Resulting Numbers: [19, 41, 17]
Generated Node #0,2: 76:[19, 41, 17] Operation: 36-19=17
Moving to Node #0,0
Current State: 76:[19, 19, 5], Operations: ['41-36=5']
Exploring Operation: 19+19=38, Resulting Numbers: [5, 38]
Generated Node #0,0,0: 76:[5, 38] Operation: 19+19=38
Exploring Operation: 19/19=1, Resulting Numbers: [5, 1]
Generated Node #0,0,1: 76:[5, 1] Operation: 19/19=1
Exploring Operation: 19-19=0, Resulting Numbers: [5, 0]
Generated Node #0,0,2: 76:[5, 0] Operation: 19-19=0
Moving to Node #0,1
Current State: 76:[19, 19, 77], Operations: ['36+41=77']
Exploring Operation: 19-19=0, Resulting Numbers: [77, 0]
Generated Node #0,1,0: 76:[77, 0] Operation: 19-19=0
Exploring Operation: 19/19=1, Resulting Numbers: [77, 1]
Generated Node #0,1,1: 76:[77, 1] Operation: 19/19=1
Exploring Operation: 19+19=38, Resulting Numbers: [77, 38]
Generated Node #0,1,2: 76:[77, 38] Operation: 19+19=38
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 76:[77, 38], Operations: ['36+41=77', '19+19=38']
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 77+38=115, Resulting Numbers: [115]
115,76 unequal: No Solution
Exploring Operation: 77*38=2926, Resulting Numbers: [2926]
2926,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[77, 1], Operations: ['36+41=77', '19/19=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[19, 36, 19, 41], Operations: []
Exploring Operation: 36+41=77, Resulting Numbers: [19, 19, 77]
Generated Node #0,1: 76:[19, 19, 77] Operation: 36+41=77
Moving to Node #0,1
Current State: 76:[19, 19, 77], Operations: ['36+41=77']
Exploring Operation: 19/19=1, Resulting Numbers: [77, 1]
Generated Node #0,1,1: 76:[77, 1] Operation: 19/19=1
Moving to Node #0,1,1
Current State: 76:[77, 1], Operations: ['36+41=77', '19/19=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
2,
63,
45,
98
] | 59 | [
"98/2=49",
"63+45=108",
"108-49=59"
] | Current State: 59:[2, 63, 45, 98], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [63, 45, 49]
Generated Node #2: [63, 45, 49] from Operation: 98/2=49
Current State: 59:[63, 45, 49], Operations: ['98/2=49']
Exploring Operation: 63+45=108, Resulting Numbers: [49, 108]
Generated Node #3: [49, 108] from Operation: 63+45=108
Current State: 59:[49, 108], Operations: ['98/2=49', '63+45=108']
Exploring Operation: 108-49=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[2, 63, 45, 98], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [63, 45, 49]
Generated Node #0,0: 59:[63, 45, 49] Operation: 98/2=49
Moving to Node #0,0
Current State: 59:[63, 45, 49], Operations: ['98/2=49']
Exploring Operation: 45+49=94, Resulting Numbers: [63, 94]
Generated Node #0,0,0: 59:[63, 94] Operation: 45+49=94
Moving to Node #0,0,0
Current State: 59:[63, 94], Operations: ['98/2=49', '45+49=94']
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,59 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
59,
81,
20,
50
] | 56 | [
"59+81=140",
"20*140=2800",
"2800/50=56"
] | Current State: 56:[59, 81, 20, 50], Operations: []
Exploring Operation: 59+81=140, Resulting Numbers: [20, 50, 140]
Generated Node #2: [20, 50, 140] from Operation: 59+81=140
Current State: 56:[20, 50, 140], Operations: ['59+81=140']
Exploring Operation: 20*140=2800, Resulting Numbers: [50, 2800]
Generated Node #3: [50, 2800] from Operation: 20*140=2800
Current State: 56:[50, 2800], Operations: ['59+81=140', '20*140=2800']
Exploring Operation: 2800/50=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[59, 81, 20, 50], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [81, 20, 9]
Generated Node #0,0: 56:[81, 20, 9] Operation: 59-50=9
Exploring Operation: 81-20=61, Resulting Numbers: [59, 50, 61]
Generated Node #0,1: 56:[59, 50, 61] Operation: 81-20=61
Exploring Operation: 81-59=22, Resulting Numbers: [20, 50, 22]
Generated Node #0,2: 56:[20, 50, 22] Operation: 81-59=22
Exploring Operation: 50-20=30, Resulting Numbers: [59, 81, 30]
Generated Node #0,3: 56:[59, 81, 30] Operation: 50-20=30
Exploring Operation: 81-50=31, Resulting Numbers: [59, 20, 31]
Generated Node #0,4: 56:[59, 20, 31] Operation: 81-50=31
Moving to Node #0,4
Current State: 56:[59, 20, 31], Operations: ['81-50=31']
Exploring Operation: 59+20=79, Resulting Numbers: [31, 79]
Generated Node #0,4,0: 56:[31, 79] Operation: 59+20=79
Exploring Operation: 31-20=11, Resulting Numbers: [59, 11]
Generated Node #0,4,1: 56:[59, 11] Operation: 31-20=11
Exploring Operation: 59-31=28, Resulting Numbers: [20, 28]
Generated Node #0,4,2: 56:[20, 28] Operation: 59-31=28
Exploring Operation: 59-20=39, Resulting Numbers: [31, 39]
Generated Node #0,4,3: 56:[31, 39] Operation: 59-20=39
Exploring Operation: 20+31=51, Resulting Numbers: [59, 51]
Generated Node #0,4,4: 56:[59, 51] Operation: 20+31=51
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 56:[59, 11], Operations: ['81-50=31', '31-20=11']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 59+11=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 59*11=649, Resulting Numbers: [649]
649,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 56:[20, 28], Operations: ['81-50=31', '59-31=28']
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 56:[59, 51], Operations: ['81-50=31', '20+31=51']
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,56 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 56:[31, 39], Operations: ['81-50=31', '59-20=39']
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 31*39=1209, Resulting Numbers: [1209]
1209,56 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 56:[31, 79], Operations: ['81-50=31', '59+20=79']
Exploring Operation: 79-31=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 31+79=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 31*79=2449, Resulting Numbers: [2449]
2449,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 56:[59, 50, 61], Operations: ['81-20=61']
Exploring Operation: 61-50=11, Resulting Numbers: [59, 11]
Generated Node #0,1,0: 56:[59, 11] Operation: 61-50=11
Exploring Operation: 61-59=2, Resulting Numbers: [50, 2]
Generated Node #0,1,1: 56:[50, 2] Operation: 61-59=2
Exploring Operation: 59+50=109, Resulting Numbers: [61, 109]
Generated Node #0,1,2: 56:[61, 109] Operation: 59+50=109
Exploring Operation: 59-50=9, Resulting Numbers: [61, 9]
Generated Node #0,1,3: 56:[61, 9] Operation: 59-50=9
Exploring Operation: 50+61=111, Resulting Numbers: [59, 111]
Generated Node #0,1,4: 56:[59, 111] Operation: 50+61=111
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[59, 11], Operations: ['81-20=61', '61-50=11']
Exploring Operation: 59*11=649, Resulting Numbers: [649]
649,56 unequal: No Solution
Exploring Operation: 59+11=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[50, 2], Operations: ['81-20=61', '61-59=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,56 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 56:[61, 9], Operations: ['81-20=61', '59-50=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,56 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 56:[61, 109], Operations: ['81-20=61', '59+50=109']
Exploring Operation: 61*109=6649, Resulting Numbers: [6649]
6649,56 unequal: No Solution
Exploring Operation: 109-61=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 61+109=170, Resulting Numbers: [170]
170,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 56:[59, 111], Operations: ['81-20=61', '50+61=111']
Exploring Operation: 111-59=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 59*111=6549, Resulting Numbers: [6549]
6549,56 unequal: No Solution
Exploring Operation: 59+111=170, Resulting Numbers: [170]
170,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 56:[20, 50, 22], Operations: ['81-59=22']
Exploring Operation: 20+22=42, Resulting Numbers: [50, 42]
Generated Node #0,2,0: 56:[50, 42] Operation: 20+22=42
Exploring Operation: 50-22=28, Resulting Numbers: [20, 28]
Generated Node #0,2,1: 56:[20, 28] Operation: 50-22=28
Exploring Operation: 20+50=70, Resulting Numbers: [22, 70]
Generated Node #0,2,2: 56:[22, 70] Operation: 20+50=70
Exploring Operation: 22-20=2, Resulting Numbers: [50, 2]
Generated Node #0,2,3: 56:[50, 2] Operation: 22-20=2
Exploring Operation: 50-20=30, Resulting Numbers: [22, 30]
Generated Node #0,2,4: 56:[22, 30] Operation: 50-20=30
Moving to Node #0,3
Current State: 56:[59, 81, 30], Operations: ['50-20=30']
Exploring Operation: 59-30=29, Resulting Numbers: [81, 29]
Generated Node #0,3,0: 56:[81, 29] Operation: 59-30=29
Exploring Operation: 81-59=22, Resulting Numbers: [30, 22]
Generated Node #0,3,1: 56:[30, 22] Operation: 81-59=22
Exploring Operation: 81-30=51, Resulting Numbers: [59, 51]
Generated Node #0,3,2: 56:[59, 51] Operation: 81-30=51
Exploring Operation: 59+30=89, Resulting Numbers: [81, 89]
Generated Node #0,3,3: 56:[81, 89] Operation: 59+30=89
Exploring Operation: 81+30=111, Resulting Numbers: [59, 111]
Generated Node #0,3,4: 56:[59, 111] Operation: 81+30=111
Moving to Node #0,0
Current State: 56:[81, 20, 9], Operations: ['59-50=9']
Exploring Operation: 20-9=11, Resulting Numbers: [81, 11]
Generated Node #0,0,0: 56:[81, 11] Operation: 20-9=11
Exploring Operation: 20+9=29, Resulting Numbers: [81, 29]
Generated Node #0,0,1: 56:[81, 29] Operation: 20+9=29
Exploring Operation: 81-9=72, Resulting Numbers: [20, 72]
Generated Node #0,0,2: 56:[20, 72] Operation: 81-9=72
Exploring Operation: 81/9=9, Resulting Numbers: [20, 9]
Generated Node #0,0,3: 56:[20, 9] Operation: 81/9=9
Exploring Operation: 81-20=61, Resulting Numbers: [9, 61]
Generated Node #0,0,4: 56:[9, 61] Operation: 81-20=61
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 56:[9, 61], Operations: ['59-50=9', '81-20=61']
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 9*61=549, Resulting Numbers: [549]
549,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[20, 9], Operations: ['59-50=9', '81/9=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[20, 72], Operations: ['59-50=9', '81-9=72']
Exploring Operation: 20+72=92, Resulting Numbers: [92]
92,56 unequal: No Solution
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 20*72=1440, Resulting Numbers: [1440]
1440,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[81, 29], Operations: ['59-50=9', '20+9=29']
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 81+29=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 81*29=2349, Resulting Numbers: [2349]
2349,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[81, 11], Operations: ['59-50=9', '20-9=11']
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 81+11=92, Resulting Numbers: [92]
92,56 unequal: No Solution
Exploring Operation: 81*11=891, Resulting Numbers: [891]
891,56 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: 56:[20, 28], Operations: ['81-59=22', '50-22=28']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,56 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[50, 2], Operations: ['81-59=22', '22-20=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,56 unequal: No Solution
Moving to Node #0,2,4
Current State: 56:[22, 30], Operations: ['81-59=22', '50-20=30']
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 22*30=660, Resulting Numbers: [660]
660,56 unequal: No Solution
Moving to Node #0,3,2
Current State: 56:[59, 51], Operations: ['50-20=30', '81-30=51']
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,56 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Moving to Node #0,3,1
Current State: 56:[30, 22], Operations: ['50-20=30', '81-59=22']
Exploring Operation: 30*22=660, Resulting Numbers: [660]
660,56 unequal: No Solution
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[22, 70], Operations: ['81-59=22', '20+50=70']
Exploring Operation: 22+70=92, Resulting Numbers: [92]
92,56 unequal: No Solution
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 22*70=1540, Resulting Numbers: [1540]
1540,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[50, 42], Operations: ['81-59=22', '20+22=42']
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,56 unequal: No Solution
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 50*42=2100, Resulting Numbers: [2100]
2100,56 unequal: No Solution
Moving to Node #0,3,0
Current State: 56:[81, 29], Operations: ['50-20=30', '59-30=29']
Exploring Operation: 81*29=2349, Resulting Numbers: [2349]
2349,56 unequal: No Solution
Exploring Operation: 81+29=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Moving to Node #0,3,3
Current State: 56:[81, 89], Operations: ['50-20=30', '59+30=89']
Exploring Operation: 89-81=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 81+89=170, Resulting Numbers: [170]
170,56 unequal: No Solution
Exploring Operation: 81*89=7209, Resulting Numbers: [7209]
7209,56 unequal: No Solution
Moving to Node #0,3,4
Current State: 56:[59, 111], Operations: ['50-20=30', '81+30=111']
Exploring Operation: 59*111=6549, Resulting Numbers: [6549]
6549,56 unequal: No Solution
Exploring Operation: 111-59=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 59+111=170, Resulting Numbers: [170]
170,56 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
9,
13,
7,
98
] | 26 | [
"9*13=117",
"98-7=91",
"117-91=26"
] | Current State: 26:[9, 13, 7, 98], Operations: []
Exploring Operation: 9*13=117, Resulting Numbers: [7, 98, 117]
Generated Node #2: [7, 98, 117] from Operation: 9*13=117
Current State: 26:[7, 98, 117], Operations: ['9*13=117']
Exploring Operation: 98-7=91, Resulting Numbers: [117, 91]
Generated Node #3: [117, 91] from Operation: 98-7=91
Current State: 26:[117, 91], Operations: ['9*13=117', '98-7=91']
Exploring Operation: 117-91=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[9, 13, 7, 98], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [9, 13, 14]
Generated Node #0,0: 26:[9, 13, 14] Operation: 98/7=14
Moving to Node #0,0
Current State: 26:[9, 13, 14], Operations: ['98/7=14']
Exploring Operation: 13-9=4, Resulting Numbers: [14, 4]
Generated Node #0,0,0: 26:[14, 4] Operation: 13-9=4
Moving to Node #0,0,0
Current State: 26:[14, 4], Operations: ['98/7=14', '13-9=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
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