nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
---|---|---|---|---|
[
17,
49,
3,
89
] | 25 |
[
"89-17=72",
"72/3=24",
"49-24=25"
] |
Current State: 25:[17, 49, 3, 89], Operations: []
Exploring Operation: 89-17=72, Resulting Numbers: [49, 3, 72]
Generated Node #2: [49, 3, 72] from Operation: 89-17=72
Current State: 25:[49, 3, 72], Operations: ['89-17=72']
Exploring Operation: 72/3=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 72/3=24
Current State: 25:[49, 24], Operations: ['89-17=72', '72/3=24']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
89,
51,
46,
1
] | 83 |
[
"89-51=38",
"46-1=45",
"38+45=83"
] |
Current State: 83:[89, 51, 46, 1], Operations: []
Exploring Operation: 89-51=38, Resulting Numbers: [46, 1, 38]
Generated Node #2: [46, 1, 38] from Operation: 89-51=38
Current State: 83:[46, 1, 38], Operations: ['89-51=38']
Exploring Operation: 46-1=45, Resulting Numbers: [38, 45]
Generated Node #3: [38, 45] from Operation: 46-1=45
Current State: 83:[38, 45], Operations: ['89-51=38', '46-1=45']
Exploring Operation: 38+45=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
45,
50,
84,
18
] | 64 |
[
"50*18=900",
"900/45=20",
"84-20=64"
] |
Current State: 64:[45, 50, 84, 18], Operations: []
Exploring Operation: 50*18=900, Resulting Numbers: [45, 84, 900]
Generated Node #2: [45, 84, 900] from Operation: 50*18=900
Current State: 64:[45, 84, 900], Operations: ['50*18=900']
Exploring Operation: 900/45=20, Resulting Numbers: [84, 20]
Generated Node #3: [84, 20] from Operation: 900/45=20
Current State: 64:[84, 20], Operations: ['50*18=900', '900/45=20']
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
1,
44,
16,
18
] | 77 |
[
"44-1=43",
"16+18=34",
"43+34=77"
] |
Current State: 77:[1, 44, 16, 18], Operations: []
Exploring Operation: 44-1=43, Resulting Numbers: [16, 18, 43]
Generated Node #2: [16, 18, 43] from Operation: 44-1=43
Current State: 77:[16, 18, 43], Operations: ['44-1=43']
Exploring Operation: 16+18=34, Resulting Numbers: [43, 34]
Generated Node #3: [43, 34] from Operation: 16+18=34
Current State: 77:[43, 34], Operations: ['44-1=43', '16+18=34']
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
54,
64,
21,
29
] | 16 |
[
"54-21=33",
"33-29=4",
"64/4=16"
] |
Current State: 16:[54, 64, 21, 29], Operations: []
Exploring Operation: 54-21=33, Resulting Numbers: [64, 29, 33]
Generated Node #2: [64, 29, 33] from Operation: 54-21=33
Current State: 16:[64, 29, 33], Operations: ['54-21=33']
Exploring Operation: 33-29=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 33-29=4
Current State: 16:[64, 4], Operations: ['54-21=33', '33-29=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
33,
52,
25,
86
] | 92 |
[
"52-33=19",
"25+86=111",
"111-19=92"
] |
Current State: 92:[33, 52, 25, 86], Operations: []
Exploring Operation: 52-33=19, Resulting Numbers: [25, 86, 19]
Generated Node #2: [25, 86, 19] from Operation: 52-33=19
Current State: 92:[25, 86, 19], Operations: ['52-33=19']
Exploring Operation: 25+86=111, Resulting Numbers: [19, 111]
Generated Node #3: [19, 111] from Operation: 25+86=111
Current State: 92:[19, 111], Operations: ['52-33=19', '25+86=111']
Exploring Operation: 111-19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
8,
54,
48,
40
] | 54 |
[
"8+54=62",
"48-40=8",
"62-8=54"
] |
Current State: 54:[8, 54, 48, 40], Operations: []
Exploring Operation: 8+54=62, Resulting Numbers: [48, 40, 62]
Generated Node #2: [48, 40, 62] from Operation: 8+54=62
Current State: 54:[48, 40, 62], Operations: ['8+54=62']
Exploring Operation: 48-40=8, Resulting Numbers: [62, 8]
Generated Node #3: [62, 8] from Operation: 48-40=8
Current State: 54:[62, 8], Operations: ['8+54=62', '48-40=8']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
34,
70,
67,
82
] | 89 |
[
"34+70=104",
"82-67=15",
"104-15=89"
] |
Current State: 89:[34, 70, 67, 82], Operations: []
Exploring Operation: 34+70=104, Resulting Numbers: [67, 82, 104]
Generated Node #2: [67, 82, 104] from Operation: 34+70=104
Current State: 89:[67, 82, 104], Operations: ['34+70=104']
Exploring Operation: 82-67=15, Resulting Numbers: [104, 15]
Generated Node #3: [104, 15] from Operation: 82-67=15
Current State: 89:[104, 15], Operations: ['34+70=104', '82-67=15']
Exploring Operation: 104-15=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
62,
38,
3,
66
] | 30 |
[
"62-38=24",
"66+24=90",
"90/3=30"
] |
Current State: 30:[62, 38, 3, 66], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [3, 66, 24]
Generated Node #2: [3, 66, 24] from Operation: 62-38=24
Current State: 30:[3, 66, 24], Operations: ['62-38=24']
Exploring Operation: 66+24=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 66+24=90
Current State: 30:[3, 90], Operations: ['62-38=24', '66+24=90']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
65,
50,
45,
72
] | 10 |
[
"65*50=3250",
"45*72=3240",
"3250-3240=10"
] |
Current State: 10:[65, 50, 45, 72], Operations: []
Exploring Operation: 65*50=3250, Resulting Numbers: [45, 72, 3250]
Generated Node #2: [45, 72, 3250] from Operation: 65*50=3250
Current State: 10:[45, 72, 3250], Operations: ['65*50=3250']
Exploring Operation: 45*72=3240, Resulting Numbers: [3250, 3240]
Generated Node #3: [3250, 3240] from Operation: 45*72=3240
Current State: 10:[3250, 3240], Operations: ['65*50=3250', '45*72=3240']
Exploring Operation: 3250-3240=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
59,
30,
50,
59
] | 81 |
[
"59/59=1",
"30+50=80",
"1+80=81"
] |
Current State: 81:[59, 30, 50, 59], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [30, 50, 1]
Generated Node #2: [30, 50, 1] from Operation: 59/59=1
Current State: 81:[30, 50, 1], Operations: ['59/59=1']
Exploring Operation: 30+50=80, Resulting Numbers: [1, 80]
Generated Node #3: [1, 80] from Operation: 30+50=80
Current State: 81:[1, 80], Operations: ['59/59=1', '30+50=80']
Exploring Operation: 1+80=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
8,
55,
82,
94
] | 51 |
[
"8+55=63",
"94-82=12",
"63-12=51"
] |
Current State: 51:[8, 55, 82, 94], Operations: []
Exploring Operation: 8+55=63, Resulting Numbers: [82, 94, 63]
Generated Node #2: [82, 94, 63] from Operation: 8+55=63
Current State: 51:[82, 94, 63], Operations: ['8+55=63']
Exploring Operation: 94-82=12, Resulting Numbers: [63, 12]
Generated Node #3: [63, 12] from Operation: 94-82=12
Current State: 51:[63, 12], Operations: ['8+55=63', '94-82=12']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
5,
30,
78,
65
] | 35 |
[
"65/5=13",
"78-30=48",
"48-13=35"
] |
Current State: 35:[5, 30, 78, 65], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [30, 78, 13]
Generated Node #2: [30, 78, 13] from Operation: 65/5=13
Current State: 35:[30, 78, 13], Operations: ['65/5=13']
Exploring Operation: 78-30=48, Resulting Numbers: [13, 48]
Generated Node #3: [13, 48] from Operation: 78-30=48
Current State: 35:[13, 48], Operations: ['65/5=13', '78-30=48']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
46,
20,
39,
42
] | 44 |
[
"46-42=4",
"20/4=5",
"39+5=44"
] |
Current State: 44:[46, 20, 39, 42], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [20, 39, 4]
Generated Node #2: [20, 39, 4] from Operation: 46-42=4
Current State: 44:[20, 39, 4], Operations: ['46-42=4']
Exploring Operation: 20/4=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 20/4=5
Current State: 44:[39, 5], Operations: ['46-42=4', '20/4=5']
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
58,
17,
18,
53
] | 60 |
[
"53-17=36",
"36/18=2",
"58+2=60"
] |
Current State: 60:[58, 17, 18, 53], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [58, 18, 36]
Generated Node #2: [58, 18, 36] from Operation: 53-17=36
Current State: 60:[58, 18, 36], Operations: ['53-17=36']
Exploring Operation: 36/18=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 36/18=2
Current State: 60:[58, 2], Operations: ['53-17=36', '36/18=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
75,
28,
34,
37
] | 24 |
[
"75-28=47",
"34+37=71",
"71-47=24"
] |
Current State: 24:[75, 28, 34, 37], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [34, 37, 47]
Generated Node #2: [34, 37, 47] from Operation: 75-28=47
Current State: 24:[34, 37, 47], Operations: ['75-28=47']
Exploring Operation: 34+37=71, Resulting Numbers: [47, 71]
Generated Node #3: [47, 71] from Operation: 34+37=71
Current State: 24:[47, 71], Operations: ['75-28=47', '34+37=71']
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
23,
91,
3,
35
] | 52 |
[
"23-3=20",
"91*20=1820",
"1820/35=52"
] |
Current State: 52:[23, 91, 3, 35], Operations: []
Exploring Operation: 23-3=20, Resulting Numbers: [91, 35, 20]
Generated Node #2: [91, 35, 20] from Operation: 23-3=20
Current State: 52:[91, 35, 20], Operations: ['23-3=20']
Exploring Operation: 91*20=1820, Resulting Numbers: [35, 1820]
Generated Node #3: [35, 1820] from Operation: 91*20=1820
Current State: 52:[35, 1820], Operations: ['23-3=20', '91*20=1820']
Exploring Operation: 1820/35=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
14,
98,
73,
13
] | 79 |
[
"98/14=7",
"73+13=86",
"86-7=79"
] |
Current State: 79:[14, 98, 73, 13], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [73, 13, 7]
Generated Node #2: [73, 13, 7] from Operation: 98/14=7
Current State: 79:[73, 13, 7], Operations: ['98/14=7']
Exploring Operation: 73+13=86, Resulting Numbers: [7, 86]
Generated Node #3: [7, 86] from Operation: 73+13=86
Current State: 79:[7, 86], Operations: ['98/14=7', '73+13=86']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
38,
6,
2,
7
] | 17 |
[
"6/2=3",
"7*3=21",
"38-21=17"
] |
Current State: 17:[38, 6, 2, 7], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [38, 7, 3]
Generated Node #2: [38, 7, 3] from Operation: 6/2=3
Current State: 17:[38, 7, 3], Operations: ['6/2=3']
Exploring Operation: 7*3=21, Resulting Numbers: [38, 21]
Generated Node #3: [38, 21] from Operation: 7*3=21
Current State: 17:[38, 21], Operations: ['6/2=3', '7*3=21']
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
30,
30,
6,
15
] | 39 |
[
"30+30=60",
"6+15=21",
"60-21=39"
] |
Current State: 39:[30, 30, 6, 15], Operations: []
Exploring Operation: 30+30=60, Resulting Numbers: [6, 15, 60]
Generated Node #2: [6, 15, 60] from Operation: 30+30=60
Current State: 39:[6, 15, 60], Operations: ['30+30=60']
Exploring Operation: 6+15=21, Resulting Numbers: [60, 21]
Generated Node #3: [60, 21] from Operation: 6+15=21
Current State: 39:[60, 21], Operations: ['30+30=60', '6+15=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
7,
39,
61,
65
] | 42 |
[
"7+39=46",
"65-61=4",
"46-4=42"
] |
Current State: 42:[7, 39, 61, 65], Operations: []
Exploring Operation: 7+39=46, Resulting Numbers: [61, 65, 46]
Generated Node #2: [61, 65, 46] from Operation: 7+39=46
Current State: 42:[61, 65, 46], Operations: ['7+39=46']
Exploring Operation: 65-61=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 65-61=4
Current State: 42:[46, 4], Operations: ['7+39=46', '65-61=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
4,
10,
67
] | 13 |
[
"67-4=63",
"63/21=3",
"10+3=13"
] |
Current State: 13:[21, 4, 10, 67], Operations: []
Exploring Operation: 67-4=63, Resulting Numbers: [21, 10, 63]
Generated Node #2: [21, 10, 63] from Operation: 67-4=63
Current State: 13:[21, 10, 63], Operations: ['67-4=63']
Exploring Operation: 63/21=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 63/21=3
Current State: 13:[10, 3], Operations: ['67-4=63', '63/21=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
30,
99,
94,
27
] | 16 |
[
"30*99=2970",
"2970/27=110",
"110-94=16"
] |
Current State: 16:[30, 99, 94, 27], Operations: []
Exploring Operation: 30*99=2970, Resulting Numbers: [94, 27, 2970]
Generated Node #2: [94, 27, 2970] from Operation: 30*99=2970
Current State: 16:[94, 27, 2970], Operations: ['30*99=2970']
Exploring Operation: 2970/27=110, Resulting Numbers: [94, 110]
Generated Node #3: [94, 110] from Operation: 2970/27=110
Current State: 16:[94, 110], Operations: ['30*99=2970', '2970/27=110']
Exploring Operation: 110-94=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
49,
39,
3,
77
] | 47 |
[
"49-39=10",
"3*10=30",
"77-30=47"
] |
Current State: 47:[49, 39, 3, 77], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [3, 77, 10]
Generated Node #2: [3, 77, 10] from Operation: 49-39=10
Current State: 47:[3, 77, 10], Operations: ['49-39=10']
Exploring Operation: 3*10=30, Resulting Numbers: [77, 30]
Generated Node #3: [77, 30] from Operation: 3*10=30
Current State: 47:[77, 30], Operations: ['49-39=10', '3*10=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
37,
28,
15,
66
] | 31 |
[
"37-15=22",
"66/22=3",
"28+3=31"
] |
Current State: 31:[37, 28, 15, 66], Operations: []
Exploring Operation: 37-15=22, Resulting Numbers: [28, 66, 22]
Generated Node #2: [28, 66, 22] from Operation: 37-15=22
Current State: 31:[28, 66, 22], Operations: ['37-15=22']
Exploring Operation: 66/22=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 66/22=3
Current State: 31:[28, 3], Operations: ['37-15=22', '66/22=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
74,
97,
49,
92
] | 66 |
[
"97-74=23",
"92-49=43",
"23+43=66"
] |
Current State: 66:[74, 97, 49, 92], Operations: []
Exploring Operation: 97-74=23, Resulting Numbers: [49, 92, 23]
Generated Node #2: [49, 92, 23] from Operation: 97-74=23
Current State: 66:[49, 92, 23], Operations: ['97-74=23']
Exploring Operation: 92-49=43, Resulting Numbers: [23, 43]
Generated Node #3: [23, 43] from Operation: 92-49=43
Current State: 66:[23, 43], Operations: ['97-74=23', '92-49=43']
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
24,
39,
71,
36
] | 96 |
[
"71-39=32",
"36-32=4",
"24*4=96"
] |
Current State: 96:[24, 39, 71, 36], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [24, 36, 32]
Generated Node #2: [24, 36, 32] from Operation: 71-39=32
Current State: 96:[24, 36, 32], Operations: ['71-39=32']
Exploring Operation: 36-32=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 36-32=4
Current State: 96:[24, 4], Operations: ['71-39=32', '36-32=4']
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
92,
24,
86,
42
] | 72 |
[
"92+24=116",
"86-42=44",
"116-44=72"
] |
Current State: 72:[92, 24, 86, 42], Operations: []
Exploring Operation: 92+24=116, Resulting Numbers: [86, 42, 116]
Generated Node #2: [86, 42, 116] from Operation: 92+24=116
Current State: 72:[86, 42, 116], Operations: ['92+24=116']
Exploring Operation: 86-42=44, Resulting Numbers: [116, 44]
Generated Node #3: [116, 44] from Operation: 86-42=44
Current State: 72:[116, 44], Operations: ['92+24=116', '86-42=44']
Exploring Operation: 116-44=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
10,
40,
25,
37
] | 42 |
[
"40-10=30",
"37-25=12",
"30+12=42"
] |
Current State: 42:[10, 40, 25, 37], Operations: []
Exploring Operation: 40-10=30, Resulting Numbers: [25, 37, 30]
Generated Node #2: [25, 37, 30] from Operation: 40-10=30
Current State: 42:[25, 37, 30], Operations: ['40-10=30']
Exploring Operation: 37-25=12, Resulting Numbers: [30, 12]
Generated Node #3: [30, 12] from Operation: 37-25=12
Current State: 42:[30, 12], Operations: ['40-10=30', '37-25=12']
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
68,
89,
84,
90
] | 17 |
[
"68+89=157",
"84+90=174",
"174-157=17"
] |
Current State: 17:[68, 89, 84, 90], Operations: []
Exploring Operation: 68+89=157, Resulting Numbers: [84, 90, 157]
Generated Node #2: [84, 90, 157] from Operation: 68+89=157
Current State: 17:[84, 90, 157], Operations: ['68+89=157']
Exploring Operation: 84+90=174, Resulting Numbers: [157, 174]
Generated Node #3: [157, 174] from Operation: 84+90=174
Current State: 17:[157, 174], Operations: ['68+89=157', '84+90=174']
Exploring Operation: 174-157=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
21,
52,
49,
23
] | 55 |
[
"23-21=2",
"52*2=104",
"104-49=55"
] |
Current State: 55:[21, 52, 49, 23], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [52, 49, 2]
Generated Node #2: [52, 49, 2] from Operation: 23-21=2
Current State: 55:[52, 49, 2], Operations: ['23-21=2']
Exploring Operation: 52*2=104, Resulting Numbers: [49, 104]
Generated Node #3: [49, 104] from Operation: 52*2=104
Current State: 55:[49, 104], Operations: ['23-21=2', '52*2=104']
Exploring Operation: 104-49=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
68,
12,
26
] | 49 |
[
"68-5=63",
"26-12=14",
"63-14=49"
] |
Current State: 49:[5, 68, 12, 26], Operations: []
Exploring Operation: 68-5=63, Resulting Numbers: [12, 26, 63]
Generated Node #2: [12, 26, 63] from Operation: 68-5=63
Current State: 49:[12, 26, 63], Operations: ['68-5=63']
Exploring Operation: 26-12=14, Resulting Numbers: [63, 14]
Generated Node #3: [63, 14] from Operation: 26-12=14
Current State: 49:[63, 14], Operations: ['68-5=63', '26-12=14']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
14,
80,
81,
16
] | 79 |
[
"16-14=2",
"80*2=160",
"160-81=79"
] |
Current State: 79:[14, 80, 81, 16], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [80, 81, 2]
Generated Node #2: [80, 81, 2] from Operation: 16-14=2
Current State: 79:[80, 81, 2], Operations: ['16-14=2']
Exploring Operation: 80*2=160, Resulting Numbers: [81, 160]
Generated Node #3: [81, 160] from Operation: 80*2=160
Current State: 79:[81, 160], Operations: ['16-14=2', '80*2=160']
Exploring Operation: 160-81=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
35,
59,
5,
42
] | 78 |
[
"59-35=24",
"5*24=120",
"120-42=78"
] |
Current State: 78:[35, 59, 5, 42], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [5, 42, 24]
Generated Node #2: [5, 42, 24] from Operation: 59-35=24
Current State: 78:[5, 42, 24], Operations: ['59-35=24']
Exploring Operation: 5*24=120, Resulting Numbers: [42, 120]
Generated Node #3: [42, 120] from Operation: 5*24=120
Current State: 78:[42, 120], Operations: ['59-35=24', '5*24=120']
Exploring Operation: 120-42=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
4,
49,
93,
56
] | 31 |
[
"4+49=53",
"56-53=3",
"93/3=31"
] |
Current State: 31:[4, 49, 93, 56], Operations: []
Exploring Operation: 4+49=53, Resulting Numbers: [93, 56, 53]
Generated Node #2: [93, 56, 53] from Operation: 4+49=53
Current State: 31:[93, 56, 53], Operations: ['4+49=53']
Exploring Operation: 56-53=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 56-53=3
Current State: 31:[93, 3], Operations: ['4+49=53', '56-53=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
61,
12,
79,
76
] | 82 |
[
"61+12=73",
"79+76=155",
"155-73=82"
] |
Current State: 82:[61, 12, 79, 76], Operations: []
Exploring Operation: 61+12=73, Resulting Numbers: [79, 76, 73]
Generated Node #2: [79, 76, 73] from Operation: 61+12=73
Current State: 82:[79, 76, 73], Operations: ['61+12=73']
Exploring Operation: 79+76=155, Resulting Numbers: [73, 155]
Generated Node #3: [73, 155] from Operation: 79+76=155
Current State: 82:[73, 155], Operations: ['61+12=73', '79+76=155']
Exploring Operation: 155-73=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
88,
24,
28,
39
] | 43 |
[
"88+24=112",
"112/28=4",
"39+4=43"
] |
Current State: 43:[88, 24, 28, 39], Operations: []
Exploring Operation: 88+24=112, Resulting Numbers: [28, 39, 112]
Generated Node #2: [28, 39, 112] from Operation: 88+24=112
Current State: 43:[28, 39, 112], Operations: ['88+24=112']
Exploring Operation: 112/28=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 112/28=4
Current State: 43:[39, 4], Operations: ['88+24=112', '112/28=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
8,
62,
17,
1
] | 88 |
[
"8+62=70",
"17+1=18",
"70+18=88"
] |
Current State: 88:[8, 62, 17, 1], Operations: []
Exploring Operation: 8+62=70, Resulting Numbers: [17, 1, 70]
Generated Node #2: [17, 1, 70] from Operation: 8+62=70
Current State: 88:[17, 1, 70], Operations: ['8+62=70']
Exploring Operation: 17+1=18, Resulting Numbers: [70, 18]
Generated Node #3: [70, 18] from Operation: 17+1=18
Current State: 88:[70, 18], Operations: ['8+62=70', '17+1=18']
Exploring Operation: 70+18=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
30,
97,
17,
68
] | 23 |
[
"30*68=2040",
"2040/17=120",
"120-97=23"
] |
Current State: 23:[30, 97, 17, 68], Operations: []
Exploring Operation: 30*68=2040, Resulting Numbers: [97, 17, 2040]
Generated Node #2: [97, 17, 2040] from Operation: 30*68=2040
Current State: 23:[97, 17, 2040], Operations: ['30*68=2040']
Exploring Operation: 2040/17=120, Resulting Numbers: [97, 120]
Generated Node #3: [97, 120] from Operation: 2040/17=120
Current State: 23:[97, 120], Operations: ['30*68=2040', '2040/17=120']
Exploring Operation: 120-97=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
14,
32,
3,
55
] | 43 |
[
"32+55=87",
"87/3=29",
"14+29=43"
] |
Current State: 43:[14, 32, 3, 55], Operations: []
Exploring Operation: 32+55=87, Resulting Numbers: [14, 3, 87]
Generated Node #2: [14, 3, 87] from Operation: 32+55=87
Current State: 43:[14, 3, 87], Operations: ['32+55=87']
Exploring Operation: 87/3=29, Resulting Numbers: [14, 29]
Generated Node #3: [14, 29] from Operation: 87/3=29
Current State: 43:[14, 29], Operations: ['32+55=87', '87/3=29']
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
36,
12,
18,
63
] | 39 |
[
"36*12=432",
"432/18=24",
"63-24=39"
] |
Current State: 39:[36, 12, 18, 63], Operations: []
Exploring Operation: 36*12=432, Resulting Numbers: [18, 63, 432]
Generated Node #2: [18, 63, 432] from Operation: 36*12=432
Current State: 39:[18, 63, 432], Operations: ['36*12=432']
Exploring Operation: 432/18=24, Resulting Numbers: [63, 24]
Generated Node #3: [63, 24] from Operation: 432/18=24
Current State: 39:[63, 24], Operations: ['36*12=432', '432/18=24']
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
62,
60,
51,
59
] | 12 |
[
"62+60=122",
"51+59=110",
"122-110=12"
] |
Current State: 12:[62, 60, 51, 59], Operations: []
Exploring Operation: 62+60=122, Resulting Numbers: [51, 59, 122]
Generated Node #2: [51, 59, 122] from Operation: 62+60=122
Current State: 12:[51, 59, 122], Operations: ['62+60=122']
Exploring Operation: 51+59=110, Resulting Numbers: [122, 110]
Generated Node #3: [122, 110] from Operation: 51+59=110
Current State: 12:[122, 110], Operations: ['62+60=122', '51+59=110']
Exploring Operation: 122-110=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
43,
44,
3,
89
] | 87 |
[
"44-43=1",
"89-3=86",
"1+86=87"
] |
Current State: 87:[43, 44, 3, 89], Operations: []
Exploring Operation: 44-43=1, Resulting Numbers: [3, 89, 1]
Generated Node #2: [3, 89, 1] from Operation: 44-43=1
Current State: 87:[3, 89, 1], Operations: ['44-43=1']
Exploring Operation: 89-3=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 89-3=86
Current State: 87:[1, 86], Operations: ['44-43=1', '89-3=86']
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
22,
63,
25,
9
] | 25 |
[
"63-22=41",
"25-9=16",
"41-16=25"
] |
Current State: 25:[22, 63, 25, 9], Operations: []
Exploring Operation: 63-22=41, Resulting Numbers: [25, 9, 41]
Generated Node #2: [25, 9, 41] from Operation: 63-22=41
Current State: 25:[25, 9, 41], Operations: ['63-22=41']
Exploring Operation: 25-9=16, Resulting Numbers: [41, 16]
Generated Node #3: [41, 16] from Operation: 25-9=16
Current State: 25:[41, 16], Operations: ['63-22=41', '25-9=16']
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
59,
89,
7,
63
] | 78 |
[
"59+89=148",
"7+63=70",
"148-70=78"
] |
Current State: 78:[59, 89, 7, 63], Operations: []
Exploring Operation: 59+89=148, Resulting Numbers: [7, 63, 148]
Generated Node #2: [7, 63, 148] from Operation: 59+89=148
Current State: 78:[7, 63, 148], Operations: ['59+89=148']
Exploring Operation: 7+63=70, Resulting Numbers: [148, 70]
Generated Node #3: [148, 70] from Operation: 7+63=70
Current State: 78:[148, 70], Operations: ['59+89=148', '7+63=70']
Exploring Operation: 148-70=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
23,
41,
80,
69
] | 16 |
[
"23+41=64",
"69-64=5",
"80/5=16"
] |
Current State: 16:[23, 41, 80, 69], Operations: []
Exploring Operation: 23+41=64, Resulting Numbers: [80, 69, 64]
Generated Node #2: [80, 69, 64] from Operation: 23+41=64
Current State: 16:[80, 69, 64], Operations: ['23+41=64']
Exploring Operation: 69-64=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 69-64=5
Current State: 16:[80, 5], Operations: ['23+41=64', '69-64=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
30,
9,
46,
18
] | 33 |
[
"9+46=55",
"18*55=990",
"990/30=33"
] |
Current State: 33:[30, 9, 46, 18], Operations: []
Exploring Operation: 9+46=55, Resulting Numbers: [30, 18, 55]
Generated Node #2: [30, 18, 55] from Operation: 9+46=55
Current State: 33:[30, 18, 55], Operations: ['9+46=55']
Exploring Operation: 18*55=990, Resulting Numbers: [30, 990]
Generated Node #3: [30, 990] from Operation: 18*55=990
Current State: 33:[30, 990], Operations: ['9+46=55', '18*55=990']
Exploring Operation: 990/30=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
9,
6,
77,
78
] | 45 |
[
"6+77=83",
"83-78=5",
"9*5=45"
] |
Current State: 45:[9, 6, 77, 78], Operations: []
Exploring Operation: 6+77=83, Resulting Numbers: [9, 78, 83]
Generated Node #2: [9, 78, 83] from Operation: 6+77=83
Current State: 45:[9, 78, 83], Operations: ['6+77=83']
Exploring Operation: 83-78=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 83-78=5
Current State: 45:[9, 5], Operations: ['6+77=83', '83-78=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
15,
59,
80,
20
] | 56 |
[
"59-15=44",
"80+20=100",
"100-44=56"
] |
Current State: 56:[15, 59, 80, 20], Operations: []
Exploring Operation: 59-15=44, Resulting Numbers: [80, 20, 44]
Generated Node #2: [80, 20, 44] from Operation: 59-15=44
Current State: 56:[80, 20, 44], Operations: ['59-15=44']
Exploring Operation: 80+20=100, Resulting Numbers: [44, 100]
Generated Node #3: [44, 100] from Operation: 80+20=100
Current State: 56:[44, 100], Operations: ['59-15=44', '80+20=100']
Exploring Operation: 100-44=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
98,
2,
49,
15
] | 36 |
[
"98+2=100",
"49+15=64",
"100-64=36"
] |
Current State: 36:[98, 2, 49, 15], Operations: []
Exploring Operation: 98+2=100, Resulting Numbers: [49, 15, 100]
Generated Node #2: [49, 15, 100] from Operation: 98+2=100
Current State: 36:[49, 15, 100], Operations: ['98+2=100']
Exploring Operation: 49+15=64, Resulting Numbers: [100, 64]
Generated Node #3: [100, 64] from Operation: 49+15=64
Current State: 36:[100, 64], Operations: ['98+2=100', '49+15=64']
Exploring Operation: 100-64=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
94,
72,
31,
62
] | 28 |
[
"31*62=1922",
"94+1922=2016",
"2016/72=28"
] |
Current State: 28:[94, 72, 31, 62], Operations: []
Exploring Operation: 31*62=1922, Resulting Numbers: [94, 72, 1922]
Generated Node #2: [94, 72, 1922] from Operation: 31*62=1922
Current State: 28:[94, 72, 1922], Operations: ['31*62=1922']
Exploring Operation: 94+1922=2016, Resulting Numbers: [72, 2016]
Generated Node #3: [72, 2016] from Operation: 94+1922=2016
Current State: 28:[72, 2016], Operations: ['31*62=1922', '94+1922=2016']
Exploring Operation: 2016/72=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
52,
2,
84,
68
] | 10 |
[
"52/2=26",
"84-68=16",
"26-16=10"
] |
Current State: 10:[52, 2, 84, 68], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [84, 68, 26]
Generated Node #2: [84, 68, 26] from Operation: 52/2=26
Current State: 10:[84, 68, 26], Operations: ['52/2=26']
Exploring Operation: 84-68=16, Resulting Numbers: [26, 16]
Generated Node #3: [26, 16] from Operation: 84-68=16
Current State: 10:[26, 16], Operations: ['52/2=26', '84-68=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
48,
83,
65,
18
] | 49 |
[
"83-65=18",
"18/18=1",
"48+1=49"
] |
Current State: 49:[48, 83, 65, 18], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [48, 18, 18]
Generated Node #2: [48, 18, 18] from Operation: 83-65=18
Current State: 49:[48, 18, 18], Operations: ['83-65=18']
Exploring Operation: 18/18=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 18/18=1
Current State: 49:[48, 1], Operations: ['83-65=18', '18/18=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
38,
21,
16,
67
] | 21 |
[
"38+67=105",
"21-16=5",
"105/5=21"
] |
Current State: 21:[38, 21, 16, 67], Operations: []
Exploring Operation: 38+67=105, Resulting Numbers: [21, 16, 105]
Generated Node #2: [21, 16, 105] from Operation: 38+67=105
Current State: 21:[21, 16, 105], Operations: ['38+67=105']
Exploring Operation: 21-16=5, Resulting Numbers: [105, 5]
Generated Node #3: [105, 5] from Operation: 21-16=5
Current State: 21:[105, 5], Operations: ['38+67=105', '21-16=5']
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
44,
49,
57,
36
] | 88 |
[
"49-44=5",
"57+36=93",
"93-5=88"
] |
Current State: 88:[44, 49, 57, 36], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [57, 36, 5]
Generated Node #2: [57, 36, 5] from Operation: 49-44=5
Current State: 88:[57, 36, 5], Operations: ['49-44=5']
Exploring Operation: 57+36=93, Resulting Numbers: [5, 93]
Generated Node #3: [5, 93] from Operation: 57+36=93
Current State: 88:[5, 93], Operations: ['49-44=5', '57+36=93']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
20,
18,
37,
11
] | 50 |
[
"20-18=2",
"37+11=48",
"2+48=50"
] |
Current State: 50:[20, 18, 37, 11], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [37, 11, 2]
Generated Node #2: [37, 11, 2] from Operation: 20-18=2
Current State: 50:[37, 11, 2], Operations: ['20-18=2']
Exploring Operation: 37+11=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 37+11=48
Current State: 50:[2, 48], Operations: ['20-18=2', '37+11=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
83,
6,
16,
62
] | 49 |
[
"83+62=145",
"6*16=96",
"145-96=49"
] |
Current State: 49:[83, 6, 16, 62], Operations: []
Exploring Operation: 83+62=145, Resulting Numbers: [6, 16, 145]
Generated Node #2: [6, 16, 145] from Operation: 83+62=145
Current State: 49:[6, 16, 145], Operations: ['83+62=145']
Exploring Operation: 6*16=96, Resulting Numbers: [145, 96]
Generated Node #3: [145, 96] from Operation: 6*16=96
Current State: 49:[145, 96], Operations: ['83+62=145', '6*16=96']
Exploring Operation: 145-96=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
49,
49,
72,
25
] | 96 |
[
"49/49=1",
"72+25=97",
"97-1=96"
] |
Current State: 96:[49, 49, 72, 25], Operations: []
Exploring Operation: 49/49=1, Resulting Numbers: [72, 25, 1]
Generated Node #2: [72, 25, 1] from Operation: 49/49=1
Current State: 96:[72, 25, 1], Operations: ['49/49=1']
Exploring Operation: 72+25=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 72+25=97
Current State: 96:[1, 97], Operations: ['49/49=1', '72+25=97']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
38,
16,
3,
12
] | 58 |
[
"38+16=54",
"12/3=4",
"54+4=58"
] |
Current State: 58:[38, 16, 3, 12], Operations: []
Exploring Operation: 38+16=54, Resulting Numbers: [3, 12, 54]
Generated Node #2: [3, 12, 54] from Operation: 38+16=54
Current State: 58:[3, 12, 54], Operations: ['38+16=54']
Exploring Operation: 12/3=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 12/3=4
Current State: 58:[54, 4], Operations: ['38+16=54', '12/3=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
56,
56,
9,
8
] | 18 |
[
"56/56=1",
"9+8=17",
"1+17=18"
] |
Current State: 18:[56, 56, 9, 8], Operations: []
Exploring Operation: 56/56=1, Resulting Numbers: [9, 8, 1]
Generated Node #2: [9, 8, 1] from Operation: 56/56=1
Current State: 18:[9, 8, 1], Operations: ['56/56=1']
Exploring Operation: 9+8=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 9+8=17
Current State: 18:[1, 17], Operations: ['56/56=1', '9+8=17']
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
4,
62,
26,
56
] | 88 |
[
"62-4=58",
"56-26=30",
"58+30=88"
] |
Current State: 88:[4, 62, 26, 56], Operations: []
Exploring Operation: 62-4=58, Resulting Numbers: [26, 56, 58]
Generated Node #2: [26, 56, 58] from Operation: 62-4=58
Current State: 88:[26, 56, 58], Operations: ['62-4=58']
Exploring Operation: 56-26=30, Resulting Numbers: [58, 30]
Generated Node #3: [58, 30] from Operation: 56-26=30
Current State: 88:[58, 30], Operations: ['62-4=58', '56-26=30']
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
33,
57,
6,
92
] | 15 |
[
"6*92=552",
"552-57=495",
"495/33=15"
] |
Current State: 15:[33, 57, 6, 92], Operations: []
Exploring Operation: 6*92=552, Resulting Numbers: [33, 57, 552]
Generated Node #2: [33, 57, 552] from Operation: 6*92=552
Current State: 15:[33, 57, 552], Operations: ['6*92=552']
Exploring Operation: 552-57=495, Resulting Numbers: [33, 495]
Generated Node #3: [33, 495] from Operation: 552-57=495
Current State: 15:[33, 495], Operations: ['6*92=552', '552-57=495']
Exploring Operation: 495/33=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
29,
52,
26
] | 87 |
[
"29-26=3",
"52*3=156",
"156-69=87"
] |
Current State: 87:[69, 29, 52, 26], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [69, 52, 3]
Generated Node #2: [69, 52, 3] from Operation: 29-26=3
Current State: 87:[69, 52, 3], Operations: ['29-26=3']
Exploring Operation: 52*3=156, Resulting Numbers: [69, 156]
Generated Node #3: [69, 156] from Operation: 52*3=156
Current State: 87:[69, 156], Operations: ['29-26=3', '52*3=156']
Exploring Operation: 156-69=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
95,
30,
23,
3
] | 99 |
[
"95+30=125",
"23+3=26",
"125-26=99"
] |
Current State: 99:[95, 30, 23, 3], Operations: []
Exploring Operation: 95+30=125, Resulting Numbers: [23, 3, 125]
Generated Node #2: [23, 3, 125] from Operation: 95+30=125
Current State: 99:[23, 3, 125], Operations: ['95+30=125']
Exploring Operation: 23+3=26, Resulting Numbers: [125, 26]
Generated Node #3: [125, 26] from Operation: 23+3=26
Current State: 99:[125, 26], Operations: ['95+30=125', '23+3=26']
Exploring Operation: 125-26=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
80,
8,
61,
13
] | 40 |
[
"80+8=88",
"61-13=48",
"88-48=40"
] |
Current State: 40:[80, 8, 61, 13], Operations: []
Exploring Operation: 80+8=88, Resulting Numbers: [61, 13, 88]
Generated Node #2: [61, 13, 88] from Operation: 80+8=88
Current State: 40:[61, 13, 88], Operations: ['80+8=88']
Exploring Operation: 61-13=48, Resulting Numbers: [88, 48]
Generated Node #3: [88, 48] from Operation: 61-13=48
Current State: 40:[88, 48], Operations: ['80+8=88', '61-13=48']
Exploring Operation: 88-48=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
70,
4,
1,
64
] | 86 |
[
"70*1=70",
"64/4=16",
"70+16=86"
] |
Current State: 86:[70, 4, 1, 64], Operations: []
Exploring Operation: 70*1=70, Resulting Numbers: [4, 64, 70]
Generated Node #2: [4, 64, 70] from Operation: 70*1=70
Current State: 86:[4, 64, 70], Operations: ['70*1=70']
Exploring Operation: 64/4=16, Resulting Numbers: [70, 16]
Generated Node #3: [70, 16] from Operation: 64/4=16
Current State: 86:[70, 16], Operations: ['70*1=70', '64/4=16']
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
77,
8,
77
] | 72 |
[
"64+77=141",
"77-8=69",
"141-69=72"
] |
Current State: 72:[64, 77, 8, 77], Operations: []
Exploring Operation: 64+77=141, Resulting Numbers: [8, 141]
Generated Node #2: [8, 141] from Operation: 64+77=141
Current State: 72:[8, 141], Operations: ['64+77=141']
Exploring Operation: 77-8=69, Resulting Numbers: [141, 69]
Generated Node #3: [141, 69] from Operation: 77-8=69
Current State: 72:[141, 69], Operations: ['64+77=141', '77-8=69']
Exploring Operation: 141-69=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
18,
36,
54,
2
] | 50 |
[
"36/18=2",
"54-2=52",
"52-2=50"
] |
Current State: 50:[18, 36, 54, 2], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [54, 2, 2]
Generated Node #2: [54, 2, 2] from Operation: 36/18=2
Current State: 50:[54, 2, 2], Operations: ['36/18=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,50 equal: Goal Reached
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
78,
53,
26,
14
] | 95 |
[
"78/26=3",
"14*3=42",
"53+42=95"
] |
Current State: 95:[78, 53, 26, 14], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [53, 14, 3]
Generated Node #2: [53, 14, 3] from Operation: 78/26=3
Current State: 95:[53, 14, 3], Operations: ['78/26=3']
Exploring Operation: 14*3=42, Resulting Numbers: [53, 42]
Generated Node #3: [53, 42] from Operation: 14*3=42
Current State: 95:[53, 42], Operations: ['78/26=3', '14*3=42']
Exploring Operation: 53+42=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
12,
52,
80,
39
] | 51 |
[
"80-12=68",
"39*68=2652",
"2652/52=51"
] |
Current State: 51:[12, 52, 80, 39], Operations: []
Exploring Operation: 80-12=68, Resulting Numbers: [52, 39, 68]
Generated Node #2: [52, 39, 68] from Operation: 80-12=68
Current State: 51:[52, 39, 68], Operations: ['80-12=68']
Exploring Operation: 39*68=2652, Resulting Numbers: [52, 2652]
Generated Node #3: [52, 2652] from Operation: 39*68=2652
Current State: 51:[52, 2652], Operations: ['80-12=68', '39*68=2652']
Exploring Operation: 2652/52=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
62,
50,
14,
39
] | 60 |
[
"39-14=25",
"50/25=2",
"62-2=60"
] |
Current State: 60:[62, 50, 14, 39], Operations: []
Exploring Operation: 39-14=25, Resulting Numbers: [62, 50, 25]
Generated Node #2: [62, 50, 25] from Operation: 39-14=25
Current State: 60:[62, 50, 25], Operations: ['39-14=25']
Exploring Operation: 50/25=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 50/25=2
Current State: 60:[62, 2], Operations: ['39-14=25', '50/25=2']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
69,
90,
73,
6
] | 24 |
[
"73-69=4",
"90+6=96",
"96/4=24"
] |
Current State: 24:[69, 90, 73, 6], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [90, 6, 4]
Generated Node #2: [90, 6, 4] from Operation: 73-69=4
Current State: 24:[90, 6, 4], Operations: ['73-69=4']
Exploring Operation: 90+6=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 90+6=96
Current State: 24:[4, 96], Operations: ['73-69=4', '90+6=96']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
69,
2,
6,
61
] | 83 |
[
"69*2=138",
"61-6=55",
"138-55=83"
] |
Current State: 83:[69, 2, 6, 61], Operations: []
Exploring Operation: 69*2=138, Resulting Numbers: [6, 61, 138]
Generated Node #2: [6, 61, 138] from Operation: 69*2=138
Current State: 83:[6, 61, 138], Operations: ['69*2=138']
Exploring Operation: 61-6=55, Resulting Numbers: [138, 55]
Generated Node #3: [138, 55] from Operation: 61-6=55
Current State: 83:[138, 55], Operations: ['69*2=138', '61-6=55']
Exploring Operation: 138-55=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
4,
17,
90,
8
] | 54 |
[
"17-8=9",
"4*9=36",
"90-36=54"
] |
Current State: 54:[4, 17, 90, 8], Operations: []
Exploring Operation: 17-8=9, Resulting Numbers: [4, 90, 9]
Generated Node #2: [4, 90, 9] from Operation: 17-8=9
Current State: 54:[4, 90, 9], Operations: ['17-8=9']
Exploring Operation: 4*9=36, Resulting Numbers: [90, 36]
Generated Node #3: [90, 36] from Operation: 4*9=36
Current State: 54:[90, 36], Operations: ['17-8=9', '4*9=36']
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
71,
59,
1,
4
] | 41 |
[
"71+1=72",
"72/4=18",
"59-18=41"
] |
Current State: 41:[71, 59, 1, 4], Operations: []
Exploring Operation: 71+1=72, Resulting Numbers: [59, 4, 72]
Generated Node #2: [59, 4, 72] from Operation: 71+1=72
Current State: 41:[59, 4, 72], Operations: ['71+1=72']
Exploring Operation: 72/4=18, Resulting Numbers: [59, 18]
Generated Node #3: [59, 18] from Operation: 72/4=18
Current State: 41:[59, 18], Operations: ['71+1=72', '72/4=18']
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
41,
5,
1,
59
] | 90 |
[
"41*1=41",
"59-41=18",
"5*18=90"
] |
Current State: 90:[41, 5, 1, 59], Operations: []
Exploring Operation: 41*1=41, Resulting Numbers: [5, 59, 41]
Generated Node #2: [5, 59, 41] from Operation: 41*1=41
Current State: 90:[5, 59, 41], Operations: ['41*1=41']
Exploring Operation: 59-41=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 59-41=18
Current State: 90:[5, 18], Operations: ['41*1=41', '59-41=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
88,
97,
2,
49
] | 92 |
[
"88/2=44",
"97-49=48",
"44+48=92"
] |
Current State: 92:[88, 97, 2, 49], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [97, 49, 44]
Generated Node #2: [97, 49, 44] from Operation: 88/2=44
Current State: 92:[97, 49, 44], Operations: ['88/2=44']
Exploring Operation: 97-49=48, Resulting Numbers: [44, 48]
Generated Node #3: [44, 48] from Operation: 97-49=48
Current State: 92:[44, 48], Operations: ['88/2=44', '97-49=48']
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
55,
79,
10,
86
] | 58 |
[
"55+79=134",
"86-10=76",
"134-76=58"
] |
Current State: 58:[55, 79, 10, 86], Operations: []
Exploring Operation: 55+79=134, Resulting Numbers: [10, 86, 134]
Generated Node #2: [10, 86, 134] from Operation: 55+79=134
Current State: 58:[10, 86, 134], Operations: ['55+79=134']
Exploring Operation: 86-10=76, Resulting Numbers: [134, 76]
Generated Node #3: [134, 76] from Operation: 86-10=76
Current State: 58:[134, 76], Operations: ['55+79=134', '86-10=76']
Exploring Operation: 134-76=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
96,
72,
72,
98
] | 50 |
[
"96-72=24",
"98-72=26",
"24+26=50"
] |
Current State: 50:[96, 72, 72, 98], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [98, 24]
Generated Node #2: [98, 24] from Operation: 96-72=24
Current State: 50:[98, 24], Operations: ['96-72=24']
Exploring Operation: 98-72=26, Resulting Numbers: [24, 26]
Generated Node #3: [24, 26] from Operation: 98-72=26
Current State: 50:[24, 26], Operations: ['96-72=24', '98-72=26']
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
52,
18,
7,
25
] | 63 |
[
"52-18=34",
"34-25=9",
"7*9=63"
] |
Current State: 63:[52, 18, 7, 25], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [7, 25, 34]
Generated Node #2: [7, 25, 34] from Operation: 52-18=34
Current State: 63:[7, 25, 34], Operations: ['52-18=34']
Exploring Operation: 34-25=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 34-25=9
Current State: 63:[7, 9], Operations: ['52-18=34', '34-25=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
21,
81,
87,
56
] | 18 |
[
"81+87=168",
"168/56=3",
"21-3=18"
] |
Current State: 18:[21, 81, 87, 56], Operations: []
Exploring Operation: 81+87=168, Resulting Numbers: [21, 56, 168]
Generated Node #2: [21, 56, 168] from Operation: 81+87=168
Current State: 18:[21, 56, 168], Operations: ['81+87=168']
Exploring Operation: 168/56=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 168/56=3
Current State: 18:[21, 3], Operations: ['81+87=168', '168/56=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
17,
13,
84,
30
] | 84 |
[
"17+13=30",
"84+30=114",
"114-30=84"
] |
Current State: 84:[17, 13, 84, 30], Operations: []
Exploring Operation: 17+13=30, Resulting Numbers: [84, 30, 30]
Generated Node #2: [84, 30, 30] from Operation: 17+13=30
Current State: 84:[84, 30, 30], Operations: ['17+13=30']
Exploring Operation: 84+30=114, Resulting Numbers: [114]
114,84 equal: Goal Reached
Exploring Operation: 114-30=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
93,
58,
43,
14
] | 91 |
[
"43-14=29",
"58/29=2",
"93-2=91"
] |
Current State: 91:[93, 58, 43, 14], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [93, 58, 29]
Generated Node #2: [93, 58, 29] from Operation: 43-14=29
Current State: 91:[93, 58, 29], Operations: ['43-14=29']
Exploring Operation: 58/29=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 58/29=2
Current State: 91:[93, 2], Operations: ['43-14=29', '58/29=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
50,
58,
25,
8
] | 92 |
[
"50+58=108",
"25*8=200",
"200-108=92"
] |
Current State: 92:[50, 58, 25, 8], Operations: []
Exploring Operation: 50+58=108, Resulting Numbers: [25, 8, 108]
Generated Node #2: [25, 8, 108] from Operation: 50+58=108
Current State: 92:[25, 8, 108], Operations: ['50+58=108']
Exploring Operation: 25*8=200, Resulting Numbers: [108, 200]
Generated Node #3: [108, 200] from Operation: 25*8=200
Current State: 92:[108, 200], Operations: ['50+58=108', '25*8=200']
Exploring Operation: 200-108=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
49,
12,
86,
73
] | 84 |
[
"73-49=24",
"24/12=2",
"86-2=84"
] |
Current State: 84:[49, 12, 86, 73], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [12, 86, 24]
Generated Node #2: [12, 86, 24] from Operation: 73-49=24
Current State: 84:[12, 86, 24], Operations: ['73-49=24']
Exploring Operation: 24/12=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 24/12=2
Current State: 84:[86, 2], Operations: ['73-49=24', '24/12=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
82,
2,
68,
28
] | 65 |
[
"82+2=84",
"84/28=3",
"68-3=65"
] |
Current State: 65:[82, 2, 68, 28], Operations: []
Exploring Operation: 82+2=84, Resulting Numbers: [68, 28, 84]
Generated Node #2: [68, 28, 84] from Operation: 82+2=84
Current State: 65:[68, 28, 84], Operations: ['82+2=84']
Exploring Operation: 84/28=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 84/28=3
Current State: 65:[68, 3], Operations: ['82+2=84', '84/28=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
89,
54,
30,
3
] | 91 |
[
"30-3=27",
"54/27=2",
"89+2=91"
] |
Current State: 91:[89, 54, 30, 3], Operations: []
Exploring Operation: 30-3=27, Resulting Numbers: [89, 54, 27]
Generated Node #2: [89, 54, 27] from Operation: 30-3=27
Current State: 91:[89, 54, 27], Operations: ['30-3=27']
Exploring Operation: 54/27=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 54/27=2
Current State: 91:[89, 2], Operations: ['30-3=27', '54/27=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
78,
41,
29,
13
] | 53 |
[
"78-41=37",
"29-13=16",
"37+16=53"
] |
Current State: 53:[78, 41, 29, 13], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [29, 13, 37]
Generated Node #2: [29, 13, 37] from Operation: 78-41=37
Current State: 53:[29, 13, 37], Operations: ['78-41=37']
Exploring Operation: 29-13=16, Resulting Numbers: [37, 16]
Generated Node #3: [37, 16] from Operation: 29-13=16
Current State: 53:[37, 16], Operations: ['78-41=37', '29-13=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
7,
59,
70,
4
] | 49 |
[
"70-59=11",
"11-4=7",
"7*7=49"
] |
Current State: 49:[7, 59, 70, 4], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [7, 4, 11]
Generated Node #2: [7, 4, 11] from Operation: 70-59=11
Current State: 49:[7, 4, 11], Operations: ['70-59=11']
Exploring Operation: 11-4=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 11-4=7
Current State: 49:[7, 7], Operations: ['70-59=11', '11-4=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
16,
51,
57,
81
] | 59 |
[
"51-16=35",
"81-57=24",
"35+24=59"
] |
Current State: 59:[16, 51, 57, 81], Operations: []
Exploring Operation: 51-16=35, Resulting Numbers: [57, 81, 35]
Generated Node #2: [57, 81, 35] from Operation: 51-16=35
Current State: 59:[57, 81, 35], Operations: ['51-16=35']
Exploring Operation: 81-57=24, Resulting Numbers: [35, 24]
Generated Node #3: [35, 24] from Operation: 81-57=24
Current State: 59:[35, 24], Operations: ['51-16=35', '81-57=24']
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
59,
54,
56,
69
] | 45 |
[
"59-56=3",
"69-54=15",
"3*15=45"
] |
Current State: 45:[59, 54, 56, 69], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [54, 69, 3]
Generated Node #2: [54, 69, 3] from Operation: 59-56=3
Current State: 45:[54, 69, 3], Operations: ['59-56=3']
Exploring Operation: 69-54=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 69-54=15
Current State: 45:[3, 15], Operations: ['59-56=3', '69-54=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
78,
15,
14,
6
] | 90 |
[
"78+6=84",
"15*84=1260",
"1260/14=90"
] |
Current State: 90:[78, 15, 14, 6], Operations: []
Exploring Operation: 78+6=84, Resulting Numbers: [15, 14, 84]
Generated Node #2: [15, 14, 84] from Operation: 78+6=84
Current State: 90:[15, 14, 84], Operations: ['78+6=84']
Exploring Operation: 15*84=1260, Resulting Numbers: [14, 1260]
Generated Node #3: [14, 1260] from Operation: 15*84=1260
Current State: 90:[14, 1260], Operations: ['78+6=84', '15*84=1260']
Exploring Operation: 1260/14=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
92,
58,
98,
30
] | 63 |
[
"98-92=6",
"30/6=5",
"58+5=63"
] |
Current State: 63:[92, 58, 98, 30], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [58, 30, 6]
Generated Node #2: [58, 30, 6] from Operation: 98-92=6
Current State: 63:[58, 30, 6], Operations: ['98-92=6']
Exploring Operation: 30/6=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 30/6=5
Current State: 63:[58, 5], Operations: ['98-92=6', '30/6=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
61,
53,
11,
2
] | 92 |
[
"61+53=114",
"11*2=22",
"114-22=92"
] |
Current State: 92:[61, 53, 11, 2], Operations: []
Exploring Operation: 61+53=114, Resulting Numbers: [11, 2, 114]
Generated Node #2: [11, 2, 114] from Operation: 61+53=114
Current State: 92:[11, 2, 114], Operations: ['61+53=114']
Exploring Operation: 11*2=22, Resulting Numbers: [114, 22]
Generated Node #3: [114, 22] from Operation: 11*2=22
Current State: 92:[114, 22], Operations: ['61+53=114', '11*2=22']
Exploring Operation: 114-22=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
72,
80,
59,
70
] | 88 |
[
"80-72=8",
"70-59=11",
"8*11=88"
] |
Current State: 88:[72, 80, 59, 70], Operations: []
Exploring Operation: 80-72=8, Resulting Numbers: [59, 70, 8]
Generated Node #2: [59, 70, 8] from Operation: 80-72=8
Current State: 88:[59, 70, 8], Operations: ['80-72=8']
Exploring Operation: 70-59=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 70-59=11
Current State: 88:[8, 11], Operations: ['80-72=8', '70-59=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
7,
98,
45
] | 68 |
[
"9+45=54",
"98/7=14",
"54+14=68"
] |
Current State: 68:[9, 7, 98, 45], Operations: []
Exploring Operation: 9+45=54, Resulting Numbers: [7, 98, 54]
Generated Node #2: [7, 98, 54] from Operation: 9+45=54
Current State: 68:[7, 98, 54], Operations: ['9+45=54']
Exploring Operation: 98/7=14, Resulting Numbers: [54, 14]
Generated Node #3: [54, 14] from Operation: 98/7=14
Current State: 68:[54, 14], Operations: ['9+45=54', '98/7=14']
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
88,
73,
69
] | 35 |
[
"88-69=19",
"2*19=38",
"73-38=35"
] |
Current State: 35:[2, 88, 73, 69], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [2, 73, 19]
Generated Node #2: [2, 73, 19] from Operation: 88-69=19
Current State: 35:[2, 73, 19], Operations: ['88-69=19']
Exploring Operation: 2*19=38, Resulting Numbers: [73, 38]
Generated Node #3: [73, 38] from Operation: 2*19=38
Current State: 35:[73, 38], Operations: ['88-69=19', '2*19=38']
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
2,
36,
3,
1
] | 75 |
[
"2*36=72",
"3*1=3",
"72+3=75"
] |
Current State: 75:[2, 36, 3, 1], Operations: []
Exploring Operation: 2*36=72, Resulting Numbers: [3, 1, 72]
Generated Node #2: [3, 1, 72] from Operation: 2*36=72
Current State: 75:[3, 1, 72], Operations: ['2*36=72']
Exploring Operation: 3*1=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 3*1=3
Current State: 75:[72, 3], Operations: ['2*36=72', '3*1=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
29,
7,
48,
50
] | 51 |
[
"50-29=21",
"21/7=3",
"48+3=51"
] |
Current State: 51:[29, 7, 48, 50], Operations: []
Exploring Operation: 50-29=21, Resulting Numbers: [7, 48, 21]
Generated Node #2: [7, 48, 21] from Operation: 50-29=21
Current State: 51:[7, 48, 21], Operations: ['50-29=21']
Exploring Operation: 21/7=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 21/7=3
Current State: 51:[48, 3], Operations: ['50-29=21', '21/7=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
55,
96,
35,
59
] | 57 |
[
"55+96=151",
"35+59=94",
"151-94=57"
] |
Current State: 57:[55, 96, 35, 59], Operations: []
Exploring Operation: 55+96=151, Resulting Numbers: [35, 59, 151]
Generated Node #2: [35, 59, 151] from Operation: 55+96=151
Current State: 57:[35, 59, 151], Operations: ['55+96=151']
Exploring Operation: 35+59=94, Resulting Numbers: [151, 94]
Generated Node #3: [151, 94] from Operation: 35+59=94
Current State: 57:[151, 94], Operations: ['55+96=151', '35+59=94']
Exploring Operation: 151-94=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
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