nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
64,
3,
79,
2
] | 43 | [
"64-3=61",
"2*61=122",
"122-79=43"
] | Current State: 43:[64, 3, 79, 2], Operations: []
Exploring Operation: 64-3=61, Resulting Numbers: [79, 2, 61]
Generated Node #2: [79, 2, 61] from Operation: 64-3=61
Current State: 43:[79, 2, 61], Operations: ['64-3=61']
Exploring Operation: 2*61=122, Resulting Numbers: [79, 122]
Generated Node #3: [79, 122] from Operation: 2*61=122
Current State: 43:[79, 122], Operations: ['64-3=61', '2*61=122']
Exploring Operation: 122-79=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
22,
6,
41,
38
] | 19 | [
"22-6=16",
"41-38=3",
"16+3=19"
] | Current State: 19:[22, 6, 41, 38], Operations: []
Exploring Operation: 22-6=16, Resulting Numbers: [41, 38, 16]
Generated Node #2: [41, 38, 16] from Operation: 22-6=16
Current State: 19:[41, 38, 16], Operations: ['22-6=16']
Exploring Operation: 41-38=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 41-38=3
Current State: 19:[16, 3], Operations: ['22-6=16', '41-38=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
11,
29,
83,
47
] | 81 | [
"11+47=58",
"58/29=2",
"83-2=81"
] | Current State: 81:[11, 29, 83, 47], Operations: []
Exploring Operation: 11+47=58, Resulting Numbers: [29, 83, 58]
Generated Node #2: [29, 83, 58] from Operation: 11+47=58
Current State: 81:[29, 83, 58], Operations: ['11+47=58']
Exploring Operation: 58/29=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 58/29=2
Current State: 81:[83, 2], Operations: ['11+47=58', '58/29=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
76,
45,
40,
10
] | 38 | [
"45-40=5",
"76*5=380",
"380/10=38"
] | Current State: 38:[76, 45, 40, 10], Operations: []
Exploring Operation: 45-40=5, Resulting Numbers: [76, 10, 5]
Generated Node #2: [76, 10, 5] from Operation: 45-40=5
Current State: 38:[76, 10, 5], Operations: ['45-40=5']
Exploring Operation: 76*5=380, Resulting Numbers: [10, 380]
Generated Node #3: [10, 380] from Operation: 76*5=380
Current State: 38:[10, 380], Operations: ['45-40=5', '76*5=380']
Exploring Operation: 380/10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
37,
27,
36,
54
] | 100 | [
"37-27=10",
"36+54=90",
"10+90=100"
] | Current State: 100:[37, 27, 36, 54], Operations: []
Exploring Operation: 37-27=10, Resulting Numbers: [36, 54, 10]
Generated Node #2: [36, 54, 10] from Operation: 37-27=10
Current State: 100:[36, 54, 10], Operations: ['37-27=10']
Exploring Operation: 36+54=90, Resulting Numbers: [10, 90]
Generated Node #3: [10, 90] from Operation: 36+54=90
Current State: 100:[10, 90], Operations: ['37-27=10', '36+54=90']
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
33,
92,
53,
46
] | 26 | [
"33+92=125",
"53+46=99",
"125-99=26"
] | Current State: 26:[33, 92, 53, 46], Operations: []
Exploring Operation: 33+92=125, Resulting Numbers: [53, 46, 125]
Generated Node #2: [53, 46, 125] from Operation: 33+92=125
Current State: 26:[53, 46, 125], Operations: ['33+92=125']
Exploring Operation: 53+46=99, Resulting Numbers: [125, 99]
Generated Node #3: [125, 99] from Operation: 53+46=99
Current State: 26:[125, 99], Operations: ['33+92=125', '53+46=99']
Exploring Operation: 125-99=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
95,
96,
2,
81
] | 78 | [
"96-95=1",
"81-2=79",
"79-1=78"
] | Current State: 78:[95, 96, 2, 81], Operations: []
Exploring Operation: 96-95=1, Resulting Numbers: [2, 81, 1]
Generated Node #2: [2, 81, 1] from Operation: 96-95=1
Current State: 78:[2, 81, 1], Operations: ['96-95=1']
Exploring Operation: 81-2=79, Resulting Numbers: [1, 79]
Generated Node #3: [1, 79] from Operation: 81-2=79
Current State: 78:[1, 79], Operations: ['96-95=1', '81-2=79']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
43,
72,
65,
68
] | 67 | [
"68-65=3",
"72/3=24",
"43+24=67"
] | Current State: 67:[43, 72, 65, 68], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [43, 72, 3]
Generated Node #2: [43, 72, 3] from Operation: 68-65=3
Current State: 67:[43, 72, 3], Operations: ['68-65=3']
Exploring Operation: 72/3=24, Resulting Numbers: [43, 24]
Generated Node #3: [43, 24] from Operation: 72/3=24
Current State: 67:[43, 24], Operations: ['68-65=3', '72/3=24']
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
3,
45,
47,
96
] | 12 | [
"45+47=92",
"96-92=4",
"3*4=12"
] | Current State: 12:[3, 45, 47, 96], Operations: []
Exploring Operation: 45+47=92, Resulting Numbers: [3, 96, 92]
Generated Node #2: [3, 96, 92] from Operation: 45+47=92
Current State: 12:[3, 96, 92], Operations: ['45+47=92']
Exploring Operation: 96-92=4, Resulting Numbers: [3, 4]
Generated Node #3: [3, 4] from Operation: 96-92=4
Current State: 12:[3, 4], Operations: ['45+47=92', '96-92=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
27,
6,
4,
42
] | 45 | [
"27+42=69",
"6*4=24",
"69-24=45"
] | Current State: 45:[27, 6, 4, 42], Operations: []
Exploring Operation: 27+42=69, Resulting Numbers: [6, 4, 69]
Generated Node #2: [6, 4, 69] from Operation: 27+42=69
Current State: 45:[6, 4, 69], Operations: ['27+42=69']
Exploring Operation: 6*4=24, Resulting Numbers: [69, 24]
Generated Node #3: [69, 24] from Operation: 6*4=24
Current State: 45:[69, 24], Operations: ['27+42=69', '6*4=24']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
47,
81,
55,
3
] | 47 | [
"81-47=34",
"3*34=102",
"102-55=47"
] | Current State: 47:[47, 81, 55, 3], Operations: []
Exploring Operation: 81-47=34, Resulting Numbers: [55, 3, 34]
Generated Node #2: [55, 3, 34] from Operation: 81-47=34
Current State: 47:[55, 3, 34], Operations: ['81-47=34']
Exploring Operation: 3*34=102, Resulting Numbers: [55, 102]
Generated Node #3: [55, 102] from Operation: 3*34=102
Current State: 47:[55, 102], Operations: ['81-47=34', '3*34=102']
Exploring Operation: 102-55=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
29,
56,
49,
23
] | 99 | [
"56-29=27",
"49+23=72",
"27+72=99"
] | Current State: 99:[29, 56, 49, 23], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [49, 23, 27]
Generated Node #2: [49, 23, 27] from Operation: 56-29=27
Current State: 99:[49, 23, 27], Operations: ['56-29=27']
Exploring Operation: 49+23=72, Resulting Numbers: [27, 72]
Generated Node #3: [27, 72] from Operation: 49+23=72
Current State: 99:[27, 72], Operations: ['56-29=27', '49+23=72']
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
11,
29,
56,
4
] | 100 | [
"11+29=40",
"56+4=60",
"40+60=100"
] | Current State: 100:[11, 29, 56, 4], Operations: []
Exploring Operation: 11+29=40, Resulting Numbers: [56, 4, 40]
Generated Node #2: [56, 4, 40] from Operation: 11+29=40
Current State: 100:[56, 4, 40], Operations: ['11+29=40']
Exploring Operation: 56+4=60, Resulting Numbers: [40, 60]
Generated Node #3: [40, 60] from Operation: 56+4=60
Current State: 100:[40, 60], Operations: ['11+29=40', '56+4=60']
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
56,
75,
51,
74
] | 59 | [
"56-51=5",
"75/5=15",
"74-15=59"
] | Current State: 59:[56, 75, 51, 74], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [75, 74, 5]
Generated Node #2: [75, 74, 5] from Operation: 56-51=5
Current State: 59:[75, 74, 5], Operations: ['56-51=5']
Exploring Operation: 75/5=15, Resulting Numbers: [74, 15]
Generated Node #3: [74, 15] from Operation: 75/5=15
Current State: 59:[74, 15], Operations: ['56-51=5', '75/5=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
79,
44,
46,
81
] | 70 | [
"79-44=35",
"81-46=35",
"35+35=70"
] | Current State: 70:[79, 44, 46, 81], Operations: []
Exploring Operation: 79-44=35, Resulting Numbers: [46, 81, 35]
Generated Node #2: [46, 81, 35] from Operation: 79-44=35
Current State: 70:[46, 81, 35], Operations: ['79-44=35']
Exploring Operation: 81-46=35, Resulting Numbers: [35, 35]
Generated Node #3: [35, 35] from Operation: 81-46=35
Current State: 70:[35, 35], Operations: ['79-44=35', '81-46=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
36,
41,
66,
28
] | 89 | [
"41-36=5",
"66+28=94",
"94-5=89"
] | Current State: 89:[36, 41, 66, 28], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [66, 28, 5]
Generated Node #2: [66, 28, 5] from Operation: 41-36=5
Current State: 89:[66, 28, 5], Operations: ['41-36=5']
Exploring Operation: 66+28=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 66+28=94
Current State: 89:[5, 94], Operations: ['41-36=5', '66+28=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
4,
51,
2,
11
] | 64 | [
"4+51=55",
"11-2=9",
"55+9=64"
] | Current State: 64:[4, 51, 2, 11], Operations: []
Exploring Operation: 4+51=55, Resulting Numbers: [2, 11, 55]
Generated Node #2: [2, 11, 55] from Operation: 4+51=55
Current State: 64:[2, 11, 55], Operations: ['4+51=55']
Exploring Operation: 11-2=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 11-2=9
Current State: 64:[55, 9], Operations: ['4+51=55', '11-2=9']
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
77,
88,
42,
23
] | 79 | [
"88-42=46",
"46/23=2",
"77+2=79"
] | Current State: 79:[77, 88, 42, 23], Operations: []
Exploring Operation: 88-42=46, Resulting Numbers: [77, 23, 46]
Generated Node #2: [77, 23, 46] from Operation: 88-42=46
Current State: 79:[77, 23, 46], Operations: ['88-42=46']
Exploring Operation: 46/23=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 46/23=2
Current State: 79:[77, 2], Operations: ['88-42=46', '46/23=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
37,
64,
27,
74
] | 75 | [
"64-37=27",
"27/27=1",
"74+1=75"
] | Current State: 75:[37, 64, 27, 74], Operations: []
Exploring Operation: 64-37=27, Resulting Numbers: [27, 74, 27]
Generated Node #2: [27, 74, 27] from Operation: 64-37=27
Current State: 75:[27, 74, 27], Operations: ['64-37=27']
Exploring Operation: 27/27=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 27/27=1
Current State: 75:[74, 1], Operations: ['64-37=27', '27/27=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
69,
48,
6,
98
] | 21 | [
"98-69=29",
"48/6=8",
"29-8=21"
] | Current State: 21:[69, 48, 6, 98], Operations: []
Exploring Operation: 98-69=29, Resulting Numbers: [48, 6, 29]
Generated Node #2: [48, 6, 29] from Operation: 98-69=29
Current State: 21:[48, 6, 29], Operations: ['98-69=29']
Exploring Operation: 48/6=8, Resulting Numbers: [29, 8]
Generated Node #3: [29, 8] from Operation: 48/6=8
Current State: 21:[29, 8], Operations: ['98-69=29', '48/6=8']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
62,
44,
62,
43
] | 86 | [
"62/62=1",
"44+43=87",
"87-1=86"
] | Current State: 86:[62, 44, 62, 43], Operations: []
Exploring Operation: 62/62=1, Resulting Numbers: [44, 43, 1]
Generated Node #2: [44, 43, 1] from Operation: 62/62=1
Current State: 86:[44, 43, 1], Operations: ['62/62=1']
Exploring Operation: 44+43=87, Resulting Numbers: [1, 87]
Generated Node #3: [1, 87] from Operation: 44+43=87
Current State: 86:[1, 87], Operations: ['62/62=1', '44+43=87']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
56,
65,
57,
97
] | 31 | [
"65-56=9",
"97-57=40",
"40-9=31"
] | Current State: 31:[56, 65, 57, 97], Operations: []
Exploring Operation: 65-56=9, Resulting Numbers: [57, 97, 9]
Generated Node #2: [57, 97, 9] from Operation: 65-56=9
Current State: 31:[57, 97, 9], Operations: ['65-56=9']
Exploring Operation: 97-57=40, Resulting Numbers: [9, 40]
Generated Node #3: [9, 40] from Operation: 97-57=40
Current State: 31:[9, 40], Operations: ['65-56=9', '97-57=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
88,
90,
55,
78
] | 64 | [
"88-78=10",
"90/10=9",
"55+9=64"
] | Current State: 64:[88, 90, 55, 78], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [90, 55, 10]
Generated Node #2: [90, 55, 10] from Operation: 88-78=10
Current State: 64:[90, 55, 10], Operations: ['88-78=10']
Exploring Operation: 90/10=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 90/10=9
Current State: 64:[55, 9], Operations: ['88-78=10', '90/10=9']
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
22,
45,
82,
84
] | 65 | [
"22+45=67",
"84-82=2",
"67-2=65"
] | Current State: 65:[22, 45, 82, 84], Operations: []
Exploring Operation: 22+45=67, Resulting Numbers: [82, 84, 67]
Generated Node #2: [82, 84, 67] from Operation: 22+45=67
Current State: 65:[82, 84, 67], Operations: ['22+45=67']
Exploring Operation: 84-82=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 84-82=2
Current State: 65:[67, 2], Operations: ['22+45=67', '84-82=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
7,
80,
70,
58
] | 16 | [
"70-7=63",
"63-58=5",
"80/5=16"
] | Current State: 16:[7, 80, 70, 58], Operations: []
Exploring Operation: 70-7=63, Resulting Numbers: [80, 58, 63]
Generated Node #2: [80, 58, 63] from Operation: 70-7=63
Current State: 16:[80, 58, 63], Operations: ['70-7=63']
Exploring Operation: 63-58=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 63-58=5
Current State: 16:[80, 5], Operations: ['70-7=63', '63-58=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
77,
52,
45,
63
] | 52 | [
"52-45=7",
"77/7=11",
"63-11=52"
] | Current State: 52:[77, 52, 45, 63], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [77, 63, 7]
Generated Node #2: [77, 63, 7] from Operation: 52-45=7
Current State: 52:[77, 63, 7], Operations: ['52-45=7']
Exploring Operation: 77/7=11, Resulting Numbers: [63, 11]
Generated Node #3: [63, 11] from Operation: 77/7=11
Current State: 52:[63, 11], Operations: ['52-45=7', '77/7=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
21,
86,
92,
40
] | 13 | [
"86-21=65",
"92-40=52",
"65-52=13"
] | Current State: 13:[21, 86, 92, 40], Operations: []
Exploring Operation: 86-21=65, Resulting Numbers: [92, 40, 65]
Generated Node #2: [92, 40, 65] from Operation: 86-21=65
Current State: 13:[92, 40, 65], Operations: ['86-21=65']
Exploring Operation: 92-40=52, Resulting Numbers: [65, 52]
Generated Node #3: [65, 52] from Operation: 92-40=52
Current State: 13:[65, 52], Operations: ['86-21=65', '92-40=52']
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
24,
74,
12,
95
] | 57 | [
"74-24=50",
"12+95=107",
"107-50=57"
] | Current State: 57:[24, 74, 12, 95], Operations: []
Exploring Operation: 74-24=50, Resulting Numbers: [12, 95, 50]
Generated Node #2: [12, 95, 50] from Operation: 74-24=50
Current State: 57:[12, 95, 50], Operations: ['74-24=50']
Exploring Operation: 12+95=107, Resulting Numbers: [50, 107]
Generated Node #3: [50, 107] from Operation: 12+95=107
Current State: 57:[50, 107], Operations: ['74-24=50', '12+95=107']
Exploring Operation: 107-50=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
84,
45,
19,
61
] | 41 | [
"84-45=39",
"19+61=80",
"80-39=41"
] | Current State: 41:[84, 45, 19, 61], Operations: []
Exploring Operation: 84-45=39, Resulting Numbers: [19, 61, 39]
Generated Node #2: [19, 61, 39] from Operation: 84-45=39
Current State: 41:[19, 61, 39], Operations: ['84-45=39']
Exploring Operation: 19+61=80, Resulting Numbers: [39, 80]
Generated Node #3: [39, 80] from Operation: 19+61=80
Current State: 41:[39, 80], Operations: ['84-45=39', '19+61=80']
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
47,
96,
64,
36
] | 71 | [
"64*36=2304",
"2304/96=24",
"47+24=71"
] | Current State: 71:[47, 96, 64, 36], Operations: []
Exploring Operation: 64*36=2304, Resulting Numbers: [47, 96, 2304]
Generated Node #2: [47, 96, 2304] from Operation: 64*36=2304
Current State: 71:[47, 96, 2304], Operations: ['64*36=2304']
Exploring Operation: 2304/96=24, Resulting Numbers: [47, 24]
Generated Node #3: [47, 24] from Operation: 2304/96=24
Current State: 71:[47, 24], Operations: ['64*36=2304', '2304/96=24']
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
30,
71,
72,
18
] | 49 | [
"71-30=41",
"72+18=90",
"90-41=49"
] | Current State: 49:[30, 71, 72, 18], Operations: []
Exploring Operation: 71-30=41, Resulting Numbers: [72, 18, 41]
Generated Node #2: [72, 18, 41] from Operation: 71-30=41
Current State: 49:[72, 18, 41], Operations: ['71-30=41']
Exploring Operation: 72+18=90, Resulting Numbers: [41, 90]
Generated Node #3: [41, 90] from Operation: 72+18=90
Current State: 49:[41, 90], Operations: ['71-30=41', '72+18=90']
Exploring Operation: 90-41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
25,
36,
33,
72
] | 29 | [
"25+33=58",
"72/36=2",
"58/2=29"
] | Current State: 29:[25, 36, 33, 72], Operations: []
Exploring Operation: 25+33=58, Resulting Numbers: [36, 72, 58]
Generated Node #2: [36, 72, 58] from Operation: 25+33=58
Current State: 29:[36, 72, 58], Operations: ['25+33=58']
Exploring Operation: 72/36=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 72/36=2
Current State: 29:[58, 2], Operations: ['25+33=58', '72/36=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
30,
50,
74,
6
] | 100 | [
"50-30=20",
"74+6=80",
"20+80=100"
] | Current State: 100:[30, 50, 74, 6], Operations: []
Exploring Operation: 50-30=20, Resulting Numbers: [74, 6, 20]
Generated Node #2: [74, 6, 20] from Operation: 50-30=20
Current State: 100:[74, 6, 20], Operations: ['50-30=20']
Exploring Operation: 74+6=80, Resulting Numbers: [20, 80]
Generated Node #3: [20, 80] from Operation: 74+6=80
Current State: 100:[20, 80], Operations: ['50-30=20', '74+6=80']
Exploring Operation: 20+80=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
46,
9,
97,
11
] | 54 | [
"97-9=88",
"88/11=8",
"46+8=54"
] | Current State: 54:[46, 9, 97, 11], Operations: []
Exploring Operation: 97-9=88, Resulting Numbers: [46, 11, 88]
Generated Node #2: [46, 11, 88] from Operation: 97-9=88
Current State: 54:[46, 11, 88], Operations: ['97-9=88']
Exploring Operation: 88/11=8, Resulting Numbers: [46, 8]
Generated Node #3: [46, 8] from Operation: 88/11=8
Current State: 54:[46, 8], Operations: ['97-9=88', '88/11=8']
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
25,
36,
80,
41
] | 20 | [
"25*36=900",
"900-80=820",
"820/41=20"
] | Current State: 20:[25, 36, 80, 41], Operations: []
Exploring Operation: 25*36=900, Resulting Numbers: [80, 41, 900]
Generated Node #2: [80, 41, 900] from Operation: 25*36=900
Current State: 20:[80, 41, 900], Operations: ['25*36=900']
Exploring Operation: 900-80=820, Resulting Numbers: [41, 820]
Generated Node #3: [41, 820] from Operation: 900-80=820
Current State: 20:[41, 820], Operations: ['25*36=900', '900-80=820']
Exploring Operation: 820/41=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
37,
63,
52,
2
] | 33 | [
"52-37=15",
"2*15=30",
"63-30=33"
] | Current State: 33:[37, 63, 52, 2], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [63, 2, 15]
Generated Node #2: [63, 2, 15] from Operation: 52-37=15
Current State: 33:[63, 2, 15], Operations: ['52-37=15']
Exploring Operation: 2*15=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 2*15=30
Current State: 33:[63, 30], Operations: ['52-37=15', '2*15=30']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
69,
55,
83,
56
] | 41 | [
"69-55=14",
"83-56=27",
"14+27=41"
] | Current State: 41:[69, 55, 83, 56], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [83, 56, 14]
Generated Node #2: [83, 56, 14] from Operation: 69-55=14
Current State: 41:[83, 56, 14], Operations: ['69-55=14']
Exploring Operation: 83-56=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 83-56=27
Current State: 41:[14, 27], Operations: ['69-55=14', '83-56=27']
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
51,
29,
92,
4
] | 83 | [
"51*4=204",
"29+92=121",
"204-121=83"
] | Current State: 83:[51, 29, 92, 4], Operations: []
Exploring Operation: 51*4=204, Resulting Numbers: [29, 92, 204]
Generated Node #2: [29, 92, 204] from Operation: 51*4=204
Current State: 83:[29, 92, 204], Operations: ['51*4=204']
Exploring Operation: 29+92=121, Resulting Numbers: [204, 121]
Generated Node #3: [204, 121] from Operation: 29+92=121
Current State: 83:[204, 121], Operations: ['51*4=204', '29+92=121']
Exploring Operation: 204-121=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
91,
31,
89,
42
] | 71 | [
"91-31=60",
"89+42=131",
"131-60=71"
] | Current State: 71:[91, 31, 89, 42], Operations: []
Exploring Operation: 91-31=60, Resulting Numbers: [89, 42, 60]
Generated Node #2: [89, 42, 60] from Operation: 91-31=60
Current State: 71:[89, 42, 60], Operations: ['91-31=60']
Exploring Operation: 89+42=131, Resulting Numbers: [60, 131]
Generated Node #3: [60, 131] from Operation: 89+42=131
Current State: 71:[60, 131], Operations: ['91-31=60', '89+42=131']
Exploring Operation: 131-60=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
73,
35,
67,
4
] | 85 | [
"73-35=38",
"4*38=152",
"152-67=85"
] | Current State: 85:[73, 35, 67, 4], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [67, 4, 38]
Generated Node #2: [67, 4, 38] from Operation: 73-35=38
Current State: 85:[67, 4, 38], Operations: ['73-35=38']
Exploring Operation: 4*38=152, Resulting Numbers: [67, 152]
Generated Node #3: [67, 152] from Operation: 4*38=152
Current State: 85:[67, 152], Operations: ['73-35=38', '4*38=152']
Exploring Operation: 152-67=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
42,
58,
47,
15
] | 35 | [
"58+47=105",
"105/15=7",
"42-7=35"
] | Current State: 35:[42, 58, 47, 15], Operations: []
Exploring Operation: 58+47=105, Resulting Numbers: [42, 15, 105]
Generated Node #2: [42, 15, 105] from Operation: 58+47=105
Current State: 35:[42, 15, 105], Operations: ['58+47=105']
Exploring Operation: 105/15=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 105/15=7
Current State: 35:[42, 7], Operations: ['58+47=105', '105/15=7']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
90,
92,
66,
90
] | 25 | [
"90/90=1",
"92-66=26",
"26-1=25"
] | Current State: 25:[90, 92, 66, 90], Operations: []
Exploring Operation: 90/90=1, Resulting Numbers: [92, 66, 1]
Generated Node #2: [92, 66, 1] from Operation: 90/90=1
Current State: 25:[92, 66, 1], Operations: ['90/90=1']
Exploring Operation: 92-66=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 92-66=26
Current State: 25:[1, 26], Operations: ['90/90=1', '92-66=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
28,
80,
40,
62
] | 36 | [
"62-28=34",
"80/40=2",
"34+2=36"
] | Current State: 36:[28, 80, 40, 62], Operations: []
Exploring Operation: 62-28=34, Resulting Numbers: [80, 40, 34]
Generated Node #2: [80, 40, 34] from Operation: 62-28=34
Current State: 36:[80, 40, 34], Operations: ['62-28=34']
Exploring Operation: 80/40=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 80/40=2
Current State: 36:[34, 2], Operations: ['62-28=34', '80/40=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
29,
37,
4,
11
] | 76 | [
"37-29=8",
"11+8=19",
"4*19=76"
] | Current State: 76:[29, 37, 4, 11], Operations: []
Exploring Operation: 37-29=8, Resulting Numbers: [4, 11, 8]
Generated Node #2: [4, 11, 8] from Operation: 37-29=8
Current State: 76:[4, 11, 8], Operations: ['37-29=8']
Exploring Operation: 11+8=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 11+8=19
Current State: 76:[4, 19], Operations: ['37-29=8', '11+8=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
1,
89,
5,
8
] | 48 | [
"89-1=88",
"5*8=40",
"88-40=48"
] | Current State: 48:[1, 89, 5, 8], Operations: []
Exploring Operation: 89-1=88, Resulting Numbers: [5, 8, 88]
Generated Node #2: [5, 8, 88] from Operation: 89-1=88
Current State: 48:[5, 8, 88], Operations: ['89-1=88']
Exploring Operation: 5*8=40, Resulting Numbers: [88, 40]
Generated Node #3: [88, 40] from Operation: 5*8=40
Current State: 48:[88, 40], Operations: ['89-1=88', '5*8=40']
Exploring Operation: 88-40=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
96,
16,
9,
54
] | 39 | [
"96/16=6",
"54-9=45",
"45-6=39"
] | Current State: 39:[96, 16, 9, 54], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [9, 54, 6]
Generated Node #2: [9, 54, 6] from Operation: 96/16=6
Current State: 39:[9, 54, 6], Operations: ['96/16=6']
Exploring Operation: 54-9=45, Resulting Numbers: [6, 45]
Generated Node #3: [6, 45] from Operation: 54-9=45
Current State: 39:[6, 45], Operations: ['96/16=6', '54-9=45']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
35,
80,
25,
5
] | 32 | [
"80-5=75",
"75/25=3",
"35-3=32"
] | Current State: 32:[35, 80, 25, 5], Operations: []
Exploring Operation: 80-5=75, Resulting Numbers: [35, 25, 75]
Generated Node #2: [35, 25, 75] from Operation: 80-5=75
Current State: 32:[35, 25, 75], Operations: ['80-5=75']
Exploring Operation: 75/25=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 75/25=3
Current State: 32:[35, 3], Operations: ['80-5=75', '75/25=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
69,
39,
90
] | 99 | [
"2*39=78",
"90-69=21",
"78+21=99"
] | Current State: 99:[2, 69, 39, 90], Operations: []
Exploring Operation: 2*39=78, Resulting Numbers: [69, 90, 78]
Generated Node #2: [69, 90, 78] from Operation: 2*39=78
Current State: 99:[69, 90, 78], Operations: ['2*39=78']
Exploring Operation: 90-69=21, Resulting Numbers: [78, 21]
Generated Node #3: [78, 21] from Operation: 90-69=21
Current State: 99:[78, 21], Operations: ['2*39=78', '90-69=21']
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
80,
8,
97,
1
] | 25 | [
"80-8=72",
"97*1=97",
"97-72=25"
] | Current State: 25:[80, 8, 97, 1], Operations: []
Exploring Operation: 80-8=72, Resulting Numbers: [97, 1, 72]
Generated Node #2: [97, 1, 72] from Operation: 80-8=72
Current State: 25:[97, 1, 72], Operations: ['80-8=72']
Exploring Operation: 97*1=97, Resulting Numbers: [72, 97]
Generated Node #3: [72, 97] from Operation: 97*1=97
Current State: 25:[72, 97], Operations: ['80-8=72', '97*1=97']
Exploring Operation: 97-72=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
13,
23,
48,
19
] | 65 | [
"13+23=36",
"48-19=29",
"36+29=65"
] | Current State: 65:[13, 23, 48, 19], Operations: []
Exploring Operation: 13+23=36, Resulting Numbers: [48, 19, 36]
Generated Node #2: [48, 19, 36] from Operation: 13+23=36
Current State: 65:[48, 19, 36], Operations: ['13+23=36']
Exploring Operation: 48-19=29, Resulting Numbers: [36, 29]
Generated Node #3: [36, 29] from Operation: 48-19=29
Current State: 65:[36, 29], Operations: ['13+23=36', '48-19=29']
Exploring Operation: 36+29=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
67,
74,
36,
77
] | 78 | [
"67+77=144",
"144/36=4",
"74+4=78"
] | Current State: 78:[67, 74, 36, 77], Operations: []
Exploring Operation: 67+77=144, Resulting Numbers: [74, 36, 144]
Generated Node #2: [74, 36, 144] from Operation: 67+77=144
Current State: 78:[74, 36, 144], Operations: ['67+77=144']
Exploring Operation: 144/36=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 144/36=4
Current State: 78:[74, 4], Operations: ['67+77=144', '144/36=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
32,
8,
36,
5
] | 14 | [
"32/8=4",
"36/4=9",
"5+9=14"
] | Current State: 14:[32, 8, 36, 5], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [36, 5, 4]
Generated Node #2: [36, 5, 4] from Operation: 32/8=4
Current State: 14:[36, 5, 4], Operations: ['32/8=4']
Exploring Operation: 36/4=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 36/4=9
Current State: 14:[5, 9], Operations: ['32/8=4', '36/4=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
94,
29,
38,
22
] | 49 | [
"94-29=65",
"38-22=16",
"65-16=49"
] | Current State: 49:[94, 29, 38, 22], Operations: []
Exploring Operation: 94-29=65, Resulting Numbers: [38, 22, 65]
Generated Node #2: [38, 22, 65] from Operation: 94-29=65
Current State: 49:[38, 22, 65], Operations: ['94-29=65']
Exploring Operation: 38-22=16, Resulting Numbers: [65, 16]
Generated Node #3: [65, 16] from Operation: 38-22=16
Current State: 49:[65, 16], Operations: ['94-29=65', '38-22=16']
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
53,
44,
3,
19
] | 98 | [
"53-19=34",
"44*3=132",
"132-34=98"
] | Current State: 98:[53, 44, 3, 19], Operations: []
Exploring Operation: 53-19=34, Resulting Numbers: [44, 3, 34]
Generated Node #2: [44, 3, 34] from Operation: 53-19=34
Current State: 98:[44, 3, 34], Operations: ['53-19=34']
Exploring Operation: 44*3=132, Resulting Numbers: [34, 132]
Generated Node #3: [34, 132] from Operation: 44*3=132
Current State: 98:[34, 132], Operations: ['53-19=34', '44*3=132']
Exploring Operation: 132-34=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
1,
45,
4,
62
] | 71 | [
"1+4=5",
"45/5=9",
"62+9=71"
] | Current State: 71:[1, 45, 4, 62], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [45, 62, 5]
Generated Node #2: [45, 62, 5] from Operation: 1+4=5
Current State: 71:[45, 62, 5], Operations: ['1+4=5']
Exploring Operation: 45/5=9, Resulting Numbers: [62, 9]
Generated Node #3: [62, 9] from Operation: 45/5=9
Current State: 71:[62, 9], Operations: ['1+4=5', '45/5=9']
Exploring Operation: 62+9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
40,
42,
37,
47
] | 15 | [
"40-37=3",
"47-42=5",
"3*5=15"
] | Current State: 15:[40, 42, 37, 47], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [42, 47, 3]
Generated Node #2: [42, 47, 3] from Operation: 40-37=3
Current State: 15:[42, 47, 3], Operations: ['40-37=3']
Exploring Operation: 47-42=5, Resulting Numbers: [3, 5]
Generated Node #3: [3, 5] from Operation: 47-42=5
Current State: 15:[3, 5], Operations: ['40-37=3', '47-42=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
17,
1,
8,
60
] | 77 | [
"17*8=136",
"60-1=59",
"136-59=77"
] | Current State: 77:[17, 1, 8, 60], Operations: []
Exploring Operation: 17*8=136, Resulting Numbers: [1, 60, 136]
Generated Node #2: [1, 60, 136] from Operation: 17*8=136
Current State: 77:[1, 60, 136], Operations: ['17*8=136']
Exploring Operation: 60-1=59, Resulting Numbers: [136, 59]
Generated Node #3: [136, 59] from Operation: 60-1=59
Current State: 77:[136, 59], Operations: ['17*8=136', '60-1=59']
Exploring Operation: 136-59=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
56,
15,
12,
19
] | 64 | [
"56+15=71",
"19-12=7",
"71-7=64"
] | Current State: 64:[56, 15, 12, 19], Operations: []
Exploring Operation: 56+15=71, Resulting Numbers: [12, 19, 71]
Generated Node #2: [12, 19, 71] from Operation: 56+15=71
Current State: 64:[12, 19, 71], Operations: ['56+15=71']
Exploring Operation: 19-12=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 19-12=7
Current State: 64:[71, 7], Operations: ['56+15=71', '19-12=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
53,
53,
67,
34
] | 100 | [
"53/53=1",
"67+34=101",
"101-1=100"
] | Current State: 100:[53, 53, 67, 34], Operations: []
Exploring Operation: 53/53=1, Resulting Numbers: [67, 34, 1]
Generated Node #2: [67, 34, 1] from Operation: 53/53=1
Current State: 100:[67, 34, 1], Operations: ['53/53=1']
Exploring Operation: 67+34=101, Resulting Numbers: [1, 101]
Generated Node #3: [1, 101] from Operation: 67+34=101
Current State: 100:[1, 101], Operations: ['53/53=1', '67+34=101']
Exploring Operation: 101-1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
63,
46,
45,
89
] | 25 | [
"63+46=109",
"45+89=134",
"134-109=25"
] | Current State: 25:[63, 46, 45, 89], Operations: []
Exploring Operation: 63+46=109, Resulting Numbers: [45, 89, 109]
Generated Node #2: [45, 89, 109] from Operation: 63+46=109
Current State: 25:[45, 89, 109], Operations: ['63+46=109']
Exploring Operation: 45+89=134, Resulting Numbers: [109, 134]
Generated Node #3: [109, 134] from Operation: 45+89=134
Current State: 25:[109, 134], Operations: ['63+46=109', '45+89=134']
Exploring Operation: 134-109=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
15,
48,
39,
57
] | 78 | [
"48-39=9",
"15*9=135",
"135-57=78"
] | Current State: 78:[15, 48, 39, 57], Operations: []
Exploring Operation: 48-39=9, Resulting Numbers: [15, 57, 9]
Generated Node #2: [15, 57, 9] from Operation: 48-39=9
Current State: 78:[15, 57, 9], Operations: ['48-39=9']
Exploring Operation: 15*9=135, Resulting Numbers: [57, 135]
Generated Node #3: [57, 135] from Operation: 15*9=135
Current State: 78:[57, 135], Operations: ['48-39=9', '15*9=135']
Exploring Operation: 135-57=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
80,
36,
51,
20
] | 83 | [
"80/20=4",
"36+51=87",
"87-4=83"
] | Current State: 83:[80, 36, 51, 20], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [36, 51, 4]
Generated Node #2: [36, 51, 4] from Operation: 80/20=4
Current State: 83:[36, 51, 4], Operations: ['80/20=4']
Exploring Operation: 36+51=87, Resulting Numbers: [4, 87]
Generated Node #3: [4, 87] from Operation: 36+51=87
Current State: 83:[4, 87], Operations: ['80/20=4', '36+51=87']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
40,
60,
21,
50
] | 91 | [
"60-40=20",
"21+50=71",
"20+71=91"
] | Current State: 91:[40, 60, 21, 50], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [21, 50, 20]
Generated Node #2: [21, 50, 20] from Operation: 60-40=20
Current State: 91:[21, 50, 20], Operations: ['60-40=20']
Exploring Operation: 21+50=71, Resulting Numbers: [20, 71]
Generated Node #3: [20, 71] from Operation: 21+50=71
Current State: 91:[20, 71], Operations: ['60-40=20', '21+50=71']
Exploring Operation: 20+71=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
20,
11,
60,
20
] | 13 | [
"60-20=40",
"40/20=2",
"11+2=13"
] | Current State: 13:[20, 11, 60, 20], Operations: []
Exploring Operation: 60-20=40, Resulting Numbers: [11, 40]
Generated Node #2: [11, 40] from Operation: 60-20=40
Current State: 13:[11, 40], Operations: ['60-20=40']
Exploring Operation: 40/20=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 40/20=2
Current State: 13:[11, 2], Operations: ['60-20=40', '40/20=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
39,
98,
78,
32
] | 34 | [
"78/39=2",
"32*2=64",
"98-64=34"
] | Current State: 34:[39, 98, 78, 32], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [98, 32, 2]
Generated Node #2: [98, 32, 2] from Operation: 78/39=2
Current State: 34:[98, 32, 2], Operations: ['78/39=2']
Exploring Operation: 32*2=64, Resulting Numbers: [98, 64]
Generated Node #3: [98, 64] from Operation: 32*2=64
Current State: 34:[98, 64], Operations: ['78/39=2', '32*2=64']
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
56,
80,
1,
27
] | 52 | [
"80-56=24",
"1+27=28",
"24+28=52"
] | Current State: 52:[56, 80, 1, 27], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [1, 27, 24]
Generated Node #2: [1, 27, 24] from Operation: 80-56=24
Current State: 52:[1, 27, 24], Operations: ['80-56=24']
Exploring Operation: 1+27=28, Resulting Numbers: [24, 28]
Generated Node #3: [24, 28] from Operation: 1+27=28
Current State: 52:[24, 28], Operations: ['80-56=24', '1+27=28']
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
30,
90,
70,
32
] | 35 | [
"90/30=3",
"70-32=38",
"38-3=35"
] | Current State: 35:[30, 90, 70, 32], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [70, 32, 3]
Generated Node #2: [70, 32, 3] from Operation: 90/30=3
Current State: 35:[70, 32, 3], Operations: ['90/30=3']
Exploring Operation: 70-32=38, Resulting Numbers: [3, 38]
Generated Node #3: [3, 38] from Operation: 70-32=38
Current State: 35:[3, 38], Operations: ['90/30=3', '70-32=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
33,
43,
68,
21
] | 29 | [
"33+43=76",
"68-21=47",
"76-47=29"
] | Current State: 29:[33, 43, 68, 21], Operations: []
Exploring Operation: 33+43=76, Resulting Numbers: [68, 21, 76]
Generated Node #2: [68, 21, 76] from Operation: 33+43=76
Current State: 29:[68, 21, 76], Operations: ['33+43=76']
Exploring Operation: 68-21=47, Resulting Numbers: [76, 47]
Generated Node #3: [76, 47] from Operation: 68-21=47
Current State: 29:[76, 47], Operations: ['33+43=76', '68-21=47']
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
11,
77,
40,
9
] | 17 | [
"77-11=66",
"40+9=49",
"66-49=17"
] | Current State: 17:[11, 77, 40, 9], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [40, 9, 66]
Generated Node #2: [40, 9, 66] from Operation: 77-11=66
Current State: 17:[40, 9, 66], Operations: ['77-11=66']
Exploring Operation: 40+9=49, Resulting Numbers: [66, 49]
Generated Node #3: [66, 49] from Operation: 40+9=49
Current State: 17:[66, 49], Operations: ['77-11=66', '40+9=49']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
41,
70,
57,
82
] | 83 | [
"82/41=2",
"70*2=140",
"140-57=83"
] | Current State: 83:[41, 70, 57, 82], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [70, 57, 2]
Generated Node #2: [70, 57, 2] from Operation: 82/41=2
Current State: 83:[70, 57, 2], Operations: ['82/41=2']
Exploring Operation: 70*2=140, Resulting Numbers: [57, 140]
Generated Node #3: [57, 140] from Operation: 70*2=140
Current State: 83:[57, 140], Operations: ['82/41=2', '70*2=140']
Exploring Operation: 140-57=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
92,
7,
12,
4
] | 56 | [
"92+4=96",
"7*96=672",
"672/12=56"
] | Current State: 56:[92, 7, 12, 4], Operations: []
Exploring Operation: 92+4=96, Resulting Numbers: [7, 12, 96]
Generated Node #2: [7, 12, 96] from Operation: 92+4=96
Current State: 56:[7, 12, 96], Operations: ['92+4=96']
Exploring Operation: 7*96=672, Resulting Numbers: [12, 672]
Generated Node #3: [12, 672] from Operation: 7*96=672
Current State: 56:[12, 672], Operations: ['92+4=96', '7*96=672']
Exploring Operation: 672/12=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
84,
4,
78,
3
] | 27 | [
"84-78=6",
"4*6=24",
"3+24=27"
] | Current State: 27:[84, 4, 78, 3], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [4, 3, 6]
Generated Node #2: [4, 3, 6] from Operation: 84-78=6
Current State: 27:[4, 3, 6], Operations: ['84-78=6']
Exploring Operation: 4*6=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 4*6=24
Current State: 27:[3, 24], Operations: ['84-78=6', '4*6=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
22,
56,
79,
79
] | 56 | [
"79-79=0",
"22*0=0",
"56+0=56"
] | Current State: 56:[22, 56, 79, 79], Operations: []
Exploring Operation: 79-79=0, Resulting Numbers: [22, 56, 0]
Generated Node #2: [22, 56, 0] from Operation: 79-79=0
Current State: 56:[22, 56, 0], Operations: ['79-79=0']
Exploring Operation: 22*0=0, Resulting Numbers: [56, 0]
Generated Node #3: [56, 0] from Operation: 22*0=0
Current State: 56:[56, 0], Operations: ['79-79=0', '22*0=0']
Exploring Operation: 56+0=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
42,
9,
55,
10
] | 14 | [
"42+9=51",
"55+10=65",
"65-51=14"
] | Current State: 14:[42, 9, 55, 10], Operations: []
Exploring Operation: 42+9=51, Resulting Numbers: [55, 10, 51]
Generated Node #2: [55, 10, 51] from Operation: 42+9=51
Current State: 14:[55, 10, 51], Operations: ['42+9=51']
Exploring Operation: 55+10=65, Resulting Numbers: [51, 65]
Generated Node #3: [51, 65] from Operation: 55+10=65
Current State: 14:[51, 65], Operations: ['42+9=51', '55+10=65']
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
74,
48,
70,
20
] | 24 | [
"74-48=26",
"70-20=50",
"50-26=24"
] | Current State: 24:[74, 48, 70, 20], Operations: []
Exploring Operation: 74-48=26, Resulting Numbers: [70, 20, 26]
Generated Node #2: [70, 20, 26] from Operation: 74-48=26
Current State: 24:[70, 20, 26], Operations: ['74-48=26']
Exploring Operation: 70-20=50, Resulting Numbers: [26, 50]
Generated Node #3: [26, 50] from Operation: 70-20=50
Current State: 24:[26, 50], Operations: ['74-48=26', '70-20=50']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
55,
36,
48,
4
] | 52 | [
"48-36=12",
"12/4=3",
"55-3=52"
] | Current State: 52:[55, 36, 48, 4], Operations: []
Exploring Operation: 48-36=12, Resulting Numbers: [55, 4, 12]
Generated Node #2: [55, 4, 12] from Operation: 48-36=12
Current State: 52:[55, 4, 12], Operations: ['48-36=12']
Exploring Operation: 12/4=3, Resulting Numbers: [55, 3]
Generated Node #3: [55, 3] from Operation: 12/4=3
Current State: 52:[55, 3], Operations: ['48-36=12', '12/4=3']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
36,
81,
2,
50
] | 26 | [
"81-50=31",
"2*31=62",
"62-36=26"
] | Current State: 26:[36, 81, 2, 50], Operations: []
Exploring Operation: 81-50=31, Resulting Numbers: [36, 2, 31]
Generated Node #2: [36, 2, 31] from Operation: 81-50=31
Current State: 26:[36, 2, 31], Operations: ['81-50=31']
Exploring Operation: 2*31=62, Resulting Numbers: [36, 62]
Generated Node #3: [36, 62] from Operation: 2*31=62
Current State: 26:[36, 62], Operations: ['81-50=31', '2*31=62']
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
9,
47,
55,
34
] | 46 | [
"47+34=81",
"81/9=9",
"55-9=46"
] | Current State: 46:[9, 47, 55, 34], Operations: []
Exploring Operation: 47+34=81, Resulting Numbers: [9, 55, 81]
Generated Node #2: [9, 55, 81] from Operation: 47+34=81
Current State: 46:[9, 55, 81], Operations: ['47+34=81']
Exploring Operation: 81/9=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 81/9=9
Current State: 46:[55, 9], Operations: ['47+34=81', '81/9=9']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
10,
51,
7,
23
] | 40 | [
"10-7=3",
"51/3=17",
"23+17=40"
] | Current State: 40:[10, 51, 7, 23], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [51, 23, 3]
Generated Node #2: [51, 23, 3] from Operation: 10-7=3
Current State: 40:[51, 23, 3], Operations: ['10-7=3']
Exploring Operation: 51/3=17, Resulting Numbers: [23, 17]
Generated Node #3: [23, 17] from Operation: 51/3=17
Current State: 40:[23, 17], Operations: ['10-7=3', '51/3=17']
Exploring Operation: 23+17=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
83,
14,
34,
98
] | 12 | [
"83-34=49",
"98/49=2",
"14-2=12"
] | Current State: 12:[83, 14, 34, 98], Operations: []
Exploring Operation: 83-34=49, Resulting Numbers: [14, 98, 49]
Generated Node #2: [14, 98, 49] from Operation: 83-34=49
Current State: 12:[14, 98, 49], Operations: ['83-34=49']
Exploring Operation: 98/49=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 98/49=2
Current State: 12:[14, 2], Operations: ['83-34=49', '98/49=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
14,
45,
32,
38
] | 66 | [
"45-38=7",
"14*7=98",
"98-32=66"
] | Current State: 66:[14, 45, 32, 38], Operations: []
Exploring Operation: 45-38=7, Resulting Numbers: [14, 32, 7]
Generated Node #2: [14, 32, 7] from Operation: 45-38=7
Current State: 66:[14, 32, 7], Operations: ['45-38=7']
Exploring Operation: 14*7=98, Resulting Numbers: [32, 98]
Generated Node #3: [32, 98] from Operation: 14*7=98
Current State: 66:[32, 98], Operations: ['45-38=7', '14*7=98']
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
87,
29,
96,
92
] | 12 | [
"87/29=3",
"96-92=4",
"3*4=12"
] | Current State: 12:[87, 29, 96, 92], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [96, 92, 3]
Generated Node #2: [96, 92, 3] from Operation: 87/29=3
Current State: 12:[96, 92, 3], Operations: ['87/29=3']
Exploring Operation: 96-92=4, Resulting Numbers: [3, 4]
Generated Node #3: [3, 4] from Operation: 96-92=4
Current State: 12:[3, 4], Operations: ['87/29=3', '96-92=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
74,
98,
90
] | 70 | [
"98-90=8",
"32/8=4",
"74-4=70"
] | Current State: 70:[32, 74, 98, 90], Operations: []
Exploring Operation: 98-90=8, Resulting Numbers: [32, 74, 8]
Generated Node #2: [32, 74, 8] from Operation: 98-90=8
Current State: 70:[32, 74, 8], Operations: ['98-90=8']
Exploring Operation: 32/8=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 32/8=4
Current State: 70:[74, 4], Operations: ['98-90=8', '32/8=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
37,
75,
99,
61
] | 48 | [
"37+75=112",
"99+61=160",
"160-112=48"
] | Current State: 48:[37, 75, 99, 61], Operations: []
Exploring Operation: 37+75=112, Resulting Numbers: [99, 61, 112]
Generated Node #2: [99, 61, 112] from Operation: 37+75=112
Current State: 48:[99, 61, 112], Operations: ['37+75=112']
Exploring Operation: 99+61=160, Resulting Numbers: [112, 160]
Generated Node #3: [112, 160] from Operation: 99+61=160
Current State: 48:[112, 160], Operations: ['37+75=112', '99+61=160']
Exploring Operation: 160-112=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
33,
37,
76,
39
] | 71 | [
"39-37=2",
"76/2=38",
"33+38=71"
] | Current State: 71:[33, 37, 76, 39], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [33, 76, 2]
Generated Node #2: [33, 76, 2] from Operation: 39-37=2
Current State: 71:[33, 76, 2], Operations: ['39-37=2']
Exploring Operation: 76/2=38, Resulting Numbers: [33, 38]
Generated Node #3: [33, 38] from Operation: 76/2=38
Current State: 71:[33, 38], Operations: ['39-37=2', '76/2=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
75,
81,
31,
45
] | 82 | [
"81-75=6",
"31+45=76",
"6+76=82"
] | Current State: 82:[75, 81, 31, 45], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [31, 45, 6]
Generated Node #2: [31, 45, 6] from Operation: 81-75=6
Current State: 82:[31, 45, 6], Operations: ['81-75=6']
Exploring Operation: 31+45=76, Resulting Numbers: [6, 76]
Generated Node #3: [6, 76] from Operation: 31+45=76
Current State: 82:[6, 76], Operations: ['81-75=6', '31+45=76']
Exploring Operation: 6+76=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
65,
2,
52,
55
] | 22 | [
"65*2=130",
"52*55=2860",
"2860/130=22"
] | Current State: 22:[65, 2, 52, 55], Operations: []
Exploring Operation: 65*2=130, Resulting Numbers: [52, 55, 130]
Generated Node #2: [52, 55, 130] from Operation: 65*2=130
Current State: 22:[52, 55, 130], Operations: ['65*2=130']
Exploring Operation: 52*55=2860, Resulting Numbers: [130, 2860]
Generated Node #3: [130, 2860] from Operation: 52*55=2860
Current State: 22:[130, 2860], Operations: ['65*2=130', '52*55=2860']
Exploring Operation: 2860/130=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
90,
80,
10,
95
] | 94 | [
"90-80=10",
"10/10=1",
"95-1=94"
] | Current State: 94:[90, 80, 10, 95], Operations: []
Exploring Operation: 90-80=10, Resulting Numbers: [10, 95, 10]
Generated Node #2: [10, 95, 10] from Operation: 90-80=10
Current State: 94:[10, 95, 10], Operations: ['90-80=10']
Exploring Operation: 10/10=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 10/10=1
Current State: 94:[95, 1], Operations: ['90-80=10', '10/10=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
36,
69,
42,
7
] | 63 | [
"69-36=33",
"42-33=9",
"7*9=63"
] | Current State: 63:[36, 69, 42, 7], Operations: []
Exploring Operation: 69-36=33, Resulting Numbers: [42, 7, 33]
Generated Node #2: [42, 7, 33] from Operation: 69-36=33
Current State: 63:[42, 7, 33], Operations: ['69-36=33']
Exploring Operation: 42-33=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 42-33=9
Current State: 63:[7, 9], Operations: ['69-36=33', '42-33=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
63,
71,
35,
42
] | 15 | [
"71-63=8",
"42-35=7",
"8+7=15"
] | Current State: 15:[63, 71, 35, 42], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [35, 42, 8]
Generated Node #2: [35, 42, 8] from Operation: 71-63=8
Current State: 15:[35, 42, 8], Operations: ['71-63=8']
Exploring Operation: 42-35=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 42-35=7
Current State: 15:[8, 7], Operations: ['71-63=8', '42-35=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
58,
63,
55,
34
] | 16 | [
"63-58=5",
"55-34=21",
"21-5=16"
] | Current State: 16:[58, 63, 55, 34], Operations: []
Exploring Operation: 63-58=5, Resulting Numbers: [55, 34, 5]
Generated Node #2: [55, 34, 5] from Operation: 63-58=5
Current State: 16:[55, 34, 5], Operations: ['63-58=5']
Exploring Operation: 55-34=21, Resulting Numbers: [5, 21]
Generated Node #3: [5, 21] from Operation: 55-34=21
Current State: 16:[5, 21], Operations: ['63-58=5', '55-34=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
8,
94,
81,
24
] | 29 | [
"94-8=86",
"81-24=57",
"86-57=29"
] | Current State: 29:[8, 94, 81, 24], Operations: []
Exploring Operation: 94-8=86, Resulting Numbers: [81, 24, 86]
Generated Node #2: [81, 24, 86] from Operation: 94-8=86
Current State: 29:[81, 24, 86], Operations: ['94-8=86']
Exploring Operation: 81-24=57, Resulting Numbers: [86, 57]
Generated Node #3: [86, 57] from Operation: 81-24=57
Current State: 29:[86, 57], Operations: ['94-8=86', '81-24=57']
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
17,
53,
48,
96
] | 87 | [
"17*96=1632",
"1632/48=34",
"53+34=87"
] | Current State: 87:[17, 53, 48, 96], Operations: []
Exploring Operation: 17*96=1632, Resulting Numbers: [53, 48, 1632]
Generated Node #2: [53, 48, 1632] from Operation: 17*96=1632
Current State: 87:[53, 48, 1632], Operations: ['17*96=1632']
Exploring Operation: 1632/48=34, Resulting Numbers: [53, 34]
Generated Node #3: [53, 34] from Operation: 1632/48=34
Current State: 87:[53, 34], Operations: ['17*96=1632', '1632/48=34']
Exploring Operation: 53+34=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
80,
73,
32,
51
] | 26 | [
"80-73=7",
"51-32=19",
"7+19=26"
] | Current State: 26:[80, 73, 32, 51], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [32, 51, 7]
Generated Node #2: [32, 51, 7] from Operation: 80-73=7
Current State: 26:[32, 51, 7], Operations: ['80-73=7']
Exploring Operation: 51-32=19, Resulting Numbers: [7, 19]
Generated Node #3: [7, 19] from Operation: 51-32=19
Current State: 26:[7, 19], Operations: ['80-73=7', '51-32=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
63,
17,
56,
32
] | 72 | [
"63*56=3528",
"17+32=49",
"3528/49=72"
] | Current State: 72:[63, 17, 56, 32], Operations: []
Exploring Operation: 63*56=3528, Resulting Numbers: [17, 32, 3528]
Generated Node #2: [17, 32, 3528] from Operation: 63*56=3528
Current State: 72:[17, 32, 3528], Operations: ['63*56=3528']
Exploring Operation: 17+32=49, Resulting Numbers: [3528, 49]
Generated Node #3: [3528, 49] from Operation: 17+32=49
Current State: 72:[3528, 49], Operations: ['63*56=3528', '17+32=49']
Exploring Operation: 3528/49=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
50,
16,
53,
44
] | 92 | [
"53-50=3",
"16*3=48",
"44+48=92"
] | Current State: 92:[50, 16, 53, 44], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [16, 44, 3]
Generated Node #2: [16, 44, 3] from Operation: 53-50=3
Current State: 92:[16, 44, 3], Operations: ['53-50=3']
Exploring Operation: 16*3=48, Resulting Numbers: [44, 48]
Generated Node #3: [44, 48] from Operation: 16*3=48
Current State: 92:[44, 48], Operations: ['53-50=3', '16*3=48']
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
49,
55,
19,
61
] | 38 | [
"49+61=110",
"110/55=2",
"19*2=38"
] | Current State: 38:[49, 55, 19, 61], Operations: []
Exploring Operation: 49+61=110, Resulting Numbers: [55, 19, 110]
Generated Node #2: [55, 19, 110] from Operation: 49+61=110
Current State: 38:[55, 19, 110], Operations: ['49+61=110']
Exploring Operation: 110/55=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 110/55=2
Current State: 38:[19, 2], Operations: ['49+61=110', '110/55=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
41,
66,
84,
48
] | 61 | [
"66-41=25",
"84-48=36",
"25+36=61"
] | Current State: 61:[41, 66, 84, 48], Operations: []
Exploring Operation: 66-41=25, Resulting Numbers: [84, 48, 25]
Generated Node #2: [84, 48, 25] from Operation: 66-41=25
Current State: 61:[84, 48, 25], Operations: ['66-41=25']
Exploring Operation: 84-48=36, Resulting Numbers: [25, 36]
Generated Node #3: [25, 36] from Operation: 84-48=36
Current State: 61:[25, 36], Operations: ['66-41=25', '84-48=36']
Exploring Operation: 25+36=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
14,
4,
13,
32
] | 54 | [
"14*13=182",
"4*32=128",
"182-128=54"
] | Current State: 54:[14, 4, 13, 32], Operations: []
Exploring Operation: 14*13=182, Resulting Numbers: [4, 32, 182]
Generated Node #2: [4, 32, 182] from Operation: 14*13=182
Current State: 54:[4, 32, 182], Operations: ['14*13=182']
Exploring Operation: 4*32=128, Resulting Numbers: [182, 128]
Generated Node #3: [182, 128] from Operation: 4*32=128
Current State: 54:[182, 128], Operations: ['14*13=182', '4*32=128']
Exploring Operation: 182-128=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
52,
95,
72,
12
] | 57 | [
"72-52=20",
"95*12=1140",
"1140/20=57"
] | Current State: 57:[52, 95, 72, 12], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [95, 12, 20]
Generated Node #2: [95, 12, 20] from Operation: 72-52=20
Current State: 57:[95, 12, 20], Operations: ['72-52=20']
Exploring Operation: 95*12=1140, Resulting Numbers: [20, 1140]
Generated Node #3: [20, 1140] from Operation: 95*12=1140
Current State: 57:[20, 1140], Operations: ['72-52=20', '95*12=1140']
Exploring Operation: 1140/20=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
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