nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
75,
91,
6,
96
] | 75 | [
"91+6=97",
"97-96=1",
"75*1=75"
] | Current State: 75:[75, 91, 6, 96], Operations: []
Exploring Operation: 91+6=97, Resulting Numbers: [75, 96, 97]
Generated Node #2: [75, 96, 97] from Operation: 91+6=97
Current State: 75:[75, 96, 97], Operations: ['91+6=97']
Exploring Operation: 97-96=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 97-96=1
Current State: 75:[75, 1], Operations: ['91+6=97', '97-96=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
4,
36,
26,
9
] | 10 | [
"4*36=144",
"144/9=16",
"26-16=10"
] | Current State: 10:[4, 36, 26, 9], Operations: []
Exploring Operation: 4*36=144, Resulting Numbers: [26, 9, 144]
Generated Node #2: [26, 9, 144] from Operation: 4*36=144
Current State: 10:[26, 9, 144], Operations: ['4*36=144']
Exploring Operation: 144/9=16, Resulting Numbers: [26, 16]
Generated Node #3: [26, 16] from Operation: 144/9=16
Current State: 10:[26, 16], Operations: ['4*36=144', '144/9=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
16,
90,
37
] | 77 | [
"8+16=24",
"90-37=53",
"24+53=77"
] | Current State: 77:[8, 16, 90, 37], Operations: []
Exploring Operation: 8+16=24, Resulting Numbers: [90, 37, 24]
Generated Node #2: [90, 37, 24] from Operation: 8+16=24
Current State: 77:[90, 37, 24], Operations: ['8+16=24']
Exploring Operation: 90-37=53, Resulting Numbers: [24, 53]
Generated Node #3: [24, 53] from Operation: 90-37=53
Current State: 77:[24, 53], Operations: ['8+16=24', '90-37=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
1,
96,
58,
82
] | 43 | [
"1+96=97",
"58+82=140",
"140-97=43"
] | Current State: 43:[1, 96, 58, 82], Operations: []
Exploring Operation: 1+96=97, Resulting Numbers: [58, 82, 97]
Generated Node #2: [58, 82, 97] from Operation: 1+96=97
Current State: 43:[58, 82, 97], Operations: ['1+96=97']
Exploring Operation: 58+82=140, Resulting Numbers: [97, 140]
Generated Node #3: [97, 140] from Operation: 58+82=140
Current State: 43:[97, 140], Operations: ['1+96=97', '58+82=140']
Exploring Operation: 140-97=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
55,
16,
17,
52
] | 31 | [
"55-52=3",
"16*3=48",
"48-17=31"
] | Current State: 31:[55, 16, 17, 52], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [16, 17, 3]
Generated Node #2: [16, 17, 3] from Operation: 55-52=3
Current State: 31:[16, 17, 3], Operations: ['55-52=3']
Exploring Operation: 16*3=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 16*3=48
Current State: 31:[17, 48], Operations: ['55-52=3', '16*3=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
55,
47,
77,
45
] | 40 | [
"55-47=8",
"77-45=32",
"8+32=40"
] | Current State: 40:[55, 47, 77, 45], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [77, 45, 8]
Generated Node #2: [77, 45, 8] from Operation: 55-47=8
Current State: 40:[77, 45, 8], Operations: ['55-47=8']
Exploring Operation: 77-45=32, Resulting Numbers: [8, 32]
Generated Node #3: [8, 32] from Operation: 77-45=32
Current State: 40:[8, 32], Operations: ['55-47=8', '77-45=32']
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
42,
36,
7,
40
] | 53 | [
"42-36=6",
"7+40=47",
"6+47=53"
] | Current State: 53:[42, 36, 7, 40], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [7, 40, 6]
Generated Node #2: [7, 40, 6] from Operation: 42-36=6
Current State: 53:[7, 40, 6], Operations: ['42-36=6']
Exploring Operation: 7+40=47, Resulting Numbers: [6, 47]
Generated Node #3: [6, 47] from Operation: 7+40=47
Current State: 53:[6, 47], Operations: ['42-36=6', '7+40=47']
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
1,
69,
24,
6
] | 99 | [
"1*69=69",
"24+6=30",
"69+30=99"
] | Current State: 99:[1, 69, 24, 6], Operations: []
Exploring Operation: 1*69=69, Resulting Numbers: [24, 6, 69]
Generated Node #2: [24, 6, 69] from Operation: 1*69=69
Current State: 99:[24, 6, 69], Operations: ['1*69=69']
Exploring Operation: 24+6=30, Resulting Numbers: [69, 30]
Generated Node #3: [69, 30] from Operation: 24+6=30
Current State: 99:[69, 30], Operations: ['1*69=69', '24+6=30']
Exploring Operation: 69+30=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
23,
21,
36,
61
] | 95 | [
"23-21=2",
"36+61=97",
"97-2=95"
] | Current State: 95:[23, 21, 36, 61], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [36, 61, 2]
Generated Node #2: [36, 61, 2] from Operation: 23-21=2
Current State: 95:[36, 61, 2], Operations: ['23-21=2']
Exploring Operation: 36+61=97, Resulting Numbers: [2, 97]
Generated Node #3: [2, 97] from Operation: 36+61=97
Current State: 95:[2, 97], Operations: ['23-21=2', '36+61=97']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
54,
79,
60
] | 43 | [
"8+54=62",
"79-60=19",
"62-19=43"
] | Current State: 43:[8, 54, 79, 60], Operations: []
Exploring Operation: 8+54=62, Resulting Numbers: [79, 60, 62]
Generated Node #2: [79, 60, 62] from Operation: 8+54=62
Current State: 43:[79, 60, 62], Operations: ['8+54=62']
Exploring Operation: 79-60=19, Resulting Numbers: [62, 19]
Generated Node #3: [62, 19] from Operation: 79-60=19
Current State: 43:[62, 19], Operations: ['8+54=62', '79-60=19']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
4,
4,
90,
4
] | 58 | [
"4+4=8",
"4*8=32",
"90-32=58"
] | Current State: 58:[4, 4, 90, 4], Operations: []
Exploring Operation: 4+4=8, Resulting Numbers: [90, 8]
Generated Node #2: [90, 8] from Operation: 4+4=8
Current State: 58:[90, 8], Operations: ['4+4=8']
Exploring Operation: 4*8=32, Resulting Numbers: [90, 32]
Generated Node #3: [90, 32] from Operation: 4*8=32
Current State: 58:[90, 32], Operations: ['4+4=8', '4*8=32']
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
24,
40,
39,
66
] | 71 | [
"40*66=2640",
"2640/24=110",
"110-39=71"
] | Current State: 71:[24, 40, 39, 66], Operations: []
Exploring Operation: 40*66=2640, Resulting Numbers: [24, 39, 2640]
Generated Node #2: [24, 39, 2640] from Operation: 40*66=2640
Current State: 71:[24, 39, 2640], Operations: ['40*66=2640']
Exploring Operation: 2640/24=110, Resulting Numbers: [39, 110]
Generated Node #3: [39, 110] from Operation: 2640/24=110
Current State: 71:[39, 110], Operations: ['40*66=2640', '2640/24=110']
Exploring Operation: 110-39=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
2,
37,
28,
33
] | 21 | [
"37-28=9",
"33+9=42",
"42/2=21"
] | Current State: 21:[2, 37, 28, 33], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [2, 33, 9]
Generated Node #2: [2, 33, 9] from Operation: 37-28=9
Current State: 21:[2, 33, 9], Operations: ['37-28=9']
Exploring Operation: 33+9=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 33+9=42
Current State: 21:[2, 42], Operations: ['37-28=9', '33+9=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
57,
95,
28,
19
] | 11 | [
"57*28=1596",
"1596/19=84",
"95-84=11"
] | Current State: 11:[57, 95, 28, 19], Operations: []
Exploring Operation: 57*28=1596, Resulting Numbers: [95, 19, 1596]
Generated Node #2: [95, 19, 1596] from Operation: 57*28=1596
Current State: 11:[95, 19, 1596], Operations: ['57*28=1596']
Exploring Operation: 1596/19=84, Resulting Numbers: [95, 84]
Generated Node #3: [95, 84] from Operation: 1596/19=84
Current State: 11:[95, 84], Operations: ['57*28=1596', '1596/19=84']
Exploring Operation: 95-84=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
87,
80,
82,
3
] | 10 | [
"87-82=5",
"3+5=8",
"80/8=10"
] | Current State: 10:[87, 80, 82, 3], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [80, 3, 5]
Generated Node #2: [80, 3, 5] from Operation: 87-82=5
Current State: 10:[80, 3, 5], Operations: ['87-82=5']
Exploring Operation: 3+5=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 3+5=8
Current State: 10:[80, 8], Operations: ['87-82=5', '3+5=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
76,
45,
16,
68
] | 53 | [
"76-45=31",
"16+68=84",
"84-31=53"
] | Current State: 53:[76, 45, 16, 68], Operations: []
Exploring Operation: 76-45=31, Resulting Numbers: [16, 68, 31]
Generated Node #2: [16, 68, 31] from Operation: 76-45=31
Current State: 53:[16, 68, 31], Operations: ['76-45=31']
Exploring Operation: 16+68=84, Resulting Numbers: [31, 84]
Generated Node #3: [31, 84] from Operation: 16+68=84
Current State: 53:[31, 84], Operations: ['76-45=31', '16+68=84']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
51,
22,
3,
59
] | 98 | [
"51/3=17",
"22+59=81",
"17+81=98"
] | Current State: 98:[51, 22, 3, 59], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [22, 59, 17]
Generated Node #2: [22, 59, 17] from Operation: 51/3=17
Current State: 98:[22, 59, 17], Operations: ['51/3=17']
Exploring Operation: 22+59=81, Resulting Numbers: [17, 81]
Generated Node #3: [17, 81] from Operation: 22+59=81
Current State: 98:[17, 81], Operations: ['51/3=17', '22+59=81']
Exploring Operation: 17+81=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
52,
30,
74,
28
] | 68 | [
"52-30=22",
"74-28=46",
"22+46=68"
] | Current State: 68:[52, 30, 74, 28], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [74, 28, 22]
Generated Node #2: [74, 28, 22] from Operation: 52-30=22
Current State: 68:[74, 28, 22], Operations: ['52-30=22']
Exploring Operation: 74-28=46, Resulting Numbers: [22, 46]
Generated Node #3: [22, 46] from Operation: 74-28=46
Current State: 68:[22, 46], Operations: ['52-30=22', '74-28=46']
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
43,
58,
17,
87
] | 40 | [
"43+17=60",
"58*60=3480",
"3480/87=40"
] | Current State: 40:[43, 58, 17, 87], Operations: []
Exploring Operation: 43+17=60, Resulting Numbers: [58, 87, 60]
Generated Node #2: [58, 87, 60] from Operation: 43+17=60
Current State: 40:[58, 87, 60], Operations: ['43+17=60']
Exploring Operation: 58*60=3480, Resulting Numbers: [87, 3480]
Generated Node #3: [87, 3480] from Operation: 58*60=3480
Current State: 40:[87, 3480], Operations: ['43+17=60', '58*60=3480']
Exploring Operation: 3480/87=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
34,
36,
51,
78
] | 28 | [
"78-36=42",
"34*42=1428",
"1428/51=28"
] | Current State: 28:[34, 36, 51, 78], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [34, 51, 42]
Generated Node #2: [34, 51, 42] from Operation: 78-36=42
Current State: 28:[34, 51, 42], Operations: ['78-36=42']
Exploring Operation: 34*42=1428, Resulting Numbers: [51, 1428]
Generated Node #3: [51, 1428] from Operation: 34*42=1428
Current State: 28:[51, 1428], Operations: ['78-36=42', '34*42=1428']
Exploring Operation: 1428/51=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
18,
93,
46,
68
] | 89 | [
"18+93=111",
"68-46=22",
"111-22=89"
] | Current State: 89:[18, 93, 46, 68], Operations: []
Exploring Operation: 18+93=111, Resulting Numbers: [46, 68, 111]
Generated Node #2: [46, 68, 111] from Operation: 18+93=111
Current State: 89:[46, 68, 111], Operations: ['18+93=111']
Exploring Operation: 68-46=22, Resulting Numbers: [111, 22]
Generated Node #3: [111, 22] from Operation: 68-46=22
Current State: 89:[111, 22], Operations: ['18+93=111', '68-46=22']
Exploring Operation: 111-22=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
9,
88,
55
] | 22 | [
"2+9=11",
"88-55=33",
"33-11=22"
] | Current State: 22:[2, 9, 88, 55], Operations: []
Exploring Operation: 2+9=11, Resulting Numbers: [88, 55, 11]
Generated Node #2: [88, 55, 11] from Operation: 2+9=11
Current State: 22:[88, 55, 11], Operations: ['2+9=11']
Exploring Operation: 88-55=33, Resulting Numbers: [11, 33]
Generated Node #3: [11, 33] from Operation: 88-55=33
Current State: 22:[11, 33], Operations: ['2+9=11', '88-55=33']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
31,
55,
41,
30
] | 36 | [
"41-30=11",
"55/11=5",
"31+5=36"
] | Current State: 36:[31, 55, 41, 30], Operations: []
Exploring Operation: 41-30=11, Resulting Numbers: [31, 55, 11]
Generated Node #2: [31, 55, 11] from Operation: 41-30=11
Current State: 36:[31, 55, 11], Operations: ['41-30=11']
Exploring Operation: 55/11=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 55/11=5
Current State: 36:[31, 5], Operations: ['41-30=11', '55/11=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
10,
22,
8,
55
] | 77 | [
"22-8=14",
"55*14=770",
"770/10=77"
] | Current State: 77:[10, 22, 8, 55], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [10, 55, 14]
Generated Node #2: [10, 55, 14] from Operation: 22-8=14
Current State: 77:[10, 55, 14], Operations: ['22-8=14']
Exploring Operation: 55*14=770, Resulting Numbers: [10, 770]
Generated Node #3: [10, 770] from Operation: 55*14=770
Current State: 77:[10, 770], Operations: ['22-8=14', '55*14=770']
Exploring Operation: 770/10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
76,
58,
97,
65
] | 50 | [
"76-58=18",
"97-65=32",
"18+32=50"
] | Current State: 50:[76, 58, 97, 65], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [97, 65, 18]
Generated Node #2: [97, 65, 18] from Operation: 76-58=18
Current State: 50:[97, 65, 18], Operations: ['76-58=18']
Exploring Operation: 97-65=32, Resulting Numbers: [18, 32]
Generated Node #3: [18, 32] from Operation: 97-65=32
Current State: 50:[18, 32], Operations: ['76-58=18', '97-65=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
58,
3,
4,
28
] | 93 | [
"58+3=61",
"4+28=32",
"61+32=93"
] | Current State: 93:[58, 3, 4, 28], Operations: []
Exploring Operation: 58+3=61, Resulting Numbers: [4, 28, 61]
Generated Node #2: [4, 28, 61] from Operation: 58+3=61
Current State: 93:[4, 28, 61], Operations: ['58+3=61']
Exploring Operation: 4+28=32, Resulting Numbers: [61, 32]
Generated Node #3: [61, 32] from Operation: 4+28=32
Current State: 93:[61, 32], Operations: ['58+3=61', '4+28=32']
Exploring Operation: 61+32=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
46,
32,
64,
53
] | 76 | [
"46*32=1472",
"1472/64=23",
"53+23=76"
] | Current State: 76:[46, 32, 64, 53], Operations: []
Exploring Operation: 46*32=1472, Resulting Numbers: [64, 53, 1472]
Generated Node #2: [64, 53, 1472] from Operation: 46*32=1472
Current State: 76:[64, 53, 1472], Operations: ['46*32=1472']
Exploring Operation: 1472/64=23, Resulting Numbers: [53, 23]
Generated Node #3: [53, 23] from Operation: 1472/64=23
Current State: 76:[53, 23], Operations: ['46*32=1472', '1472/64=23']
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
5,
67,
91,
27
] | 23 | [
"5*27=135",
"67+91=158",
"158-135=23"
] | Current State: 23:[5, 67, 91, 27], Operations: []
Exploring Operation: 5*27=135, Resulting Numbers: [67, 91, 135]
Generated Node #2: [67, 91, 135] from Operation: 5*27=135
Current State: 23:[67, 91, 135], Operations: ['5*27=135']
Exploring Operation: 67+91=158, Resulting Numbers: [135, 158]
Generated Node #3: [135, 158] from Operation: 67+91=158
Current State: 23:[135, 158], Operations: ['5*27=135', '67+91=158']
Exploring Operation: 158-135=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
28,
35,
15,
5
] | 16 | [
"15+5=20",
"28*20=560",
"560/35=16"
] | Current State: 16:[28, 35, 15, 5], Operations: []
Exploring Operation: 15+5=20, Resulting Numbers: [28, 35, 20]
Generated Node #2: [28, 35, 20] from Operation: 15+5=20
Current State: 16:[28, 35, 20], Operations: ['15+5=20']
Exploring Operation: 28*20=560, Resulting Numbers: [35, 560]
Generated Node #3: [35, 560] from Operation: 28*20=560
Current State: 16:[35, 560], Operations: ['15+5=20', '28*20=560']
Exploring Operation: 560/35=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
75,
23,
19,
56
] | 24 | [
"75-19=56",
"56/56=1",
"23+1=24"
] | Current State: 24:[75, 23, 19, 56], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [23, 56, 56]
Generated Node #2: [23, 56, 56] from Operation: 75-19=56
Current State: 24:[23, 56, 56], Operations: ['75-19=56']
Exploring Operation: 56/56=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 56/56=1
Current State: 24:[23, 1], Operations: ['75-19=56', '56/56=1']
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
32,
39,
70,
78
] | 51 | [
"32+70=102",
"78/39=2",
"102/2=51"
] | Current State: 51:[32, 39, 70, 78], Operations: []
Exploring Operation: 32+70=102, Resulting Numbers: [39, 78, 102]
Generated Node #2: [39, 78, 102] from Operation: 32+70=102
Current State: 51:[39, 78, 102], Operations: ['32+70=102']
Exploring Operation: 78/39=2, Resulting Numbers: [102, 2]
Generated Node #3: [102, 2] from Operation: 78/39=2
Current State: 51:[102, 2], Operations: ['32+70=102', '78/39=2']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
96,
19,
92,
23
] | 97 | [
"96+19=115",
"115/23=5",
"92+5=97"
] | Current State: 97:[96, 19, 92, 23], Operations: []
Exploring Operation: 96+19=115, Resulting Numbers: [92, 23, 115]
Generated Node #2: [92, 23, 115] from Operation: 96+19=115
Current State: 97:[92, 23, 115], Operations: ['96+19=115']
Exploring Operation: 115/23=5, Resulting Numbers: [92, 5]
Generated Node #3: [92, 5] from Operation: 115/23=5
Current State: 97:[92, 5], Operations: ['96+19=115', '115/23=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
28,
47,
76,
20
] | 62 | [
"28*47=1316",
"1316-76=1240",
"1240/20=62"
] | Current State: 62:[28, 47, 76, 20], Operations: []
Exploring Operation: 28*47=1316, Resulting Numbers: [76, 20, 1316]
Generated Node #2: [76, 20, 1316] from Operation: 28*47=1316
Current State: 62:[76, 20, 1316], Operations: ['28*47=1316']
Exploring Operation: 1316-76=1240, Resulting Numbers: [20, 1240]
Generated Node #3: [20, 1240] from Operation: 1316-76=1240
Current State: 62:[20, 1240], Operations: ['28*47=1316', '1316-76=1240']
Exploring Operation: 1240/20=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
9,
19,
83,
76
] | 82 | [
"83-76=7",
"9*7=63",
"19+63=82"
] | Current State: 82:[9, 19, 83, 76], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [9, 19, 7]
Generated Node #2: [9, 19, 7] from Operation: 83-76=7
Current State: 82:[9, 19, 7], Operations: ['83-76=7']
Exploring Operation: 9*7=63, Resulting Numbers: [19, 63]
Generated Node #3: [19, 63] from Operation: 9*7=63
Current State: 82:[19, 63], Operations: ['83-76=7', '9*7=63']
Exploring Operation: 19+63=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
2,
66,
61,
89
] | 33 | [
"2*61=122",
"66+89=155",
"155-122=33"
] | Current State: 33:[2, 66, 61, 89], Operations: []
Exploring Operation: 2*61=122, Resulting Numbers: [66, 89, 122]
Generated Node #2: [66, 89, 122] from Operation: 2*61=122
Current State: 33:[66, 89, 122], Operations: ['2*61=122']
Exploring Operation: 66+89=155, Resulting Numbers: [122, 155]
Generated Node #3: [122, 155] from Operation: 66+89=155
Current State: 33:[122, 155], Operations: ['2*61=122', '66+89=155']
Exploring Operation: 155-122=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
8,
40,
4,
26
] | 34 | [
"40-8=32",
"32/4=8",
"26+8=34"
] | Current State: 34:[8, 40, 4, 26], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [4, 26, 32]
Generated Node #2: [4, 26, 32] from Operation: 40-8=32
Current State: 34:[4, 26, 32], Operations: ['40-8=32']
Exploring Operation: 32/4=8, Resulting Numbers: [26, 8]
Generated Node #3: [26, 8] from Operation: 32/4=8
Current State: 34:[26, 8], Operations: ['40-8=32', '32/4=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
29,
91,
24,
4
] | 36 | [
"29+91=120",
"24+120=144",
"144/4=36"
] | Current State: 36:[29, 91, 24, 4], Operations: []
Exploring Operation: 29+91=120, Resulting Numbers: [24, 4, 120]
Generated Node #2: [24, 4, 120] from Operation: 29+91=120
Current State: 36:[24, 4, 120], Operations: ['29+91=120']
Exploring Operation: 24+120=144, Resulting Numbers: [4, 144]
Generated Node #3: [4, 144] from Operation: 24+120=144
Current State: 36:[4, 144], Operations: ['29+91=120', '24+120=144']
Exploring Operation: 144/4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
6,
92,
61,
41
] | 78 | [
"6+92=98",
"61-41=20",
"98-20=78"
] | Current State: 78:[6, 92, 61, 41], Operations: []
Exploring Operation: 6+92=98, Resulting Numbers: [61, 41, 98]
Generated Node #2: [61, 41, 98] from Operation: 6+92=98
Current State: 78:[61, 41, 98], Operations: ['6+92=98']
Exploring Operation: 61-41=20, Resulting Numbers: [98, 20]
Generated Node #3: [98, 20] from Operation: 61-41=20
Current State: 78:[98, 20], Operations: ['6+92=98', '61-41=20']
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
27,
5,
74,
3
] | 13 | [
"27/3=9",
"74-9=65",
"65/5=13"
] | Current State: 13:[27, 5, 74, 3], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [5, 74, 9]
Generated Node #2: [5, 74, 9] from Operation: 27/3=9
Current State: 13:[5, 74, 9], Operations: ['27/3=9']
Exploring Operation: 74-9=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 74-9=65
Current State: 13:[5, 65], Operations: ['27/3=9', '74-9=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
43,
74,
14,
49
] | 94 | [
"74-43=31",
"14+49=63",
"31+63=94"
] | Current State: 94:[43, 74, 14, 49], Operations: []
Exploring Operation: 74-43=31, Resulting Numbers: [14, 49, 31]
Generated Node #2: [14, 49, 31] from Operation: 74-43=31
Current State: 94:[14, 49, 31], Operations: ['74-43=31']
Exploring Operation: 14+49=63, Resulting Numbers: [31, 63]
Generated Node #3: [31, 63] from Operation: 14+49=63
Current State: 94:[31, 63], Operations: ['74-43=31', '14+49=63']
Exploring Operation: 31+63=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
48,
85,
6,
82
] | 50 | [
"85-82=3",
"6/3=2",
"48+2=50"
] | Current State: 50:[48, 85, 6, 82], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [48, 6, 3]
Generated Node #2: [48, 6, 3] from Operation: 85-82=3
Current State: 50:[48, 6, 3], Operations: ['85-82=3']
Exploring Operation: 6/3=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 6/3=2
Current State: 50:[48, 2], Operations: ['85-82=3', '6/3=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
39,
48,
51,
51
] | 88 | [
"39+48=87",
"51/51=1",
"87+1=88"
] | Current State: 88:[39, 48, 51, 51], Operations: []
Exploring Operation: 39+48=87, Resulting Numbers: [51, 51, 87]
Generated Node #2: [51, 51, 87] from Operation: 39+48=87
Current State: 88:[51, 51, 87], Operations: ['39+48=87']
Exploring Operation: 51/51=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 51/51=1
Current State: 88:[87, 1], Operations: ['39+48=87', '51/51=1']
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
90,
48,
63,
96
] | 25 | [
"90-63=27",
"96/48=2",
"27-2=25"
] | Current State: 25:[90, 48, 63, 96], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [48, 96, 27]
Generated Node #2: [48, 96, 27] from Operation: 90-63=27
Current State: 25:[48, 96, 27], Operations: ['90-63=27']
Exploring Operation: 96/48=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 96/48=2
Current State: 25:[27, 2], Operations: ['90-63=27', '96/48=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
6,
26,
92,
89
] | 13 | [
"92-89=3",
"6/3=2",
"26/2=13"
] | Current State: 13:[6, 26, 92, 89], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [6, 26, 3]
Generated Node #2: [6, 26, 3] from Operation: 92-89=3
Current State: 13:[6, 26, 3], Operations: ['92-89=3']
Exploring Operation: 6/3=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 6/3=2
Current State: 13:[26, 2], Operations: ['92-89=3', '6/3=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
68,
5,
30,
14
] | 35 | [
"68+30=98",
"5*98=490",
"490/14=35"
] | Current State: 35:[68, 5, 30, 14], Operations: []
Exploring Operation: 68+30=98, Resulting Numbers: [5, 14, 98]
Generated Node #2: [5, 14, 98] from Operation: 68+30=98
Current State: 35:[5, 14, 98], Operations: ['68+30=98']
Exploring Operation: 5*98=490, Resulting Numbers: [14, 490]
Generated Node #3: [14, 490] from Operation: 5*98=490
Current State: 35:[14, 490], Operations: ['68+30=98', '5*98=490']
Exploring Operation: 490/14=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
27,
8,
5,
17
] | 98 | [
"8-5=3",
"27*3=81",
"17+81=98"
] | Current State: 98:[27, 8, 5, 17], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [27, 17, 3]
Generated Node #2: [27, 17, 3] from Operation: 8-5=3
Current State: 98:[27, 17, 3], Operations: ['8-5=3']
Exploring Operation: 27*3=81, Resulting Numbers: [17, 81]
Generated Node #3: [17, 81] from Operation: 27*3=81
Current State: 98:[17, 81], Operations: ['8-5=3', '27*3=81']
Exploring Operation: 17+81=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
7,
92,
60,
37
] | 11 | [
"60-37=23",
"92/23=4",
"7+4=11"
] | Current State: 11:[7, 92, 60, 37], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [7, 92, 23]
Generated Node #2: [7, 92, 23] from Operation: 60-37=23
Current State: 11:[7, 92, 23], Operations: ['60-37=23']
Exploring Operation: 92/23=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 92/23=4
Current State: 11:[7, 4], Operations: ['60-37=23', '92/23=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
16,
22,
83,
88
] | 87 | [
"16*22=352",
"352/88=4",
"83+4=87"
] | Current State: 87:[16, 22, 83, 88], Operations: []
Exploring Operation: 16*22=352, Resulting Numbers: [83, 88, 352]
Generated Node #2: [83, 88, 352] from Operation: 16*22=352
Current State: 87:[83, 88, 352], Operations: ['16*22=352']
Exploring Operation: 352/88=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 352/88=4
Current State: 87:[83, 4], Operations: ['16*22=352', '352/88=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
7,
68,
10
] | 59 | [
"10-7=3",
"3*3=9",
"68-9=59"
] | Current State: 59:[3, 7, 68, 10], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [3, 68, 3]
Generated Node #2: [3, 68, 3] from Operation: 10-7=3
Current State: 59:[3, 68, 3], Operations: ['10-7=3']
Exploring Operation: 3*3=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 3*3=9
Current State: 59:[68, 9], Operations: ['10-7=3', '3*3=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
93,
85,
94,
10
] | 96 | [
"93-85=8",
"94+10=104",
"104-8=96"
] | Current State: 96:[93, 85, 94, 10], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [94, 10, 8]
Generated Node #2: [94, 10, 8] from Operation: 93-85=8
Current State: 96:[94, 10, 8], Operations: ['93-85=8']
Exploring Operation: 94+10=104, Resulting Numbers: [8, 104]
Generated Node #3: [8, 104] from Operation: 94+10=104
Current State: 96:[8, 104], Operations: ['93-85=8', '94+10=104']
Exploring Operation: 104-8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
64,
95,
70,
6
] | 59 | [
"70-64=6",
"6*6=36",
"95-36=59"
] | Current State: 59:[64, 95, 70, 6], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [95, 6, 6]
Generated Node #2: [95, 6, 6] from Operation: 70-64=6
Current State: 59:[95, 6, 6], Operations: ['70-64=6']
Exploring Operation: 6*6=36, Resulting Numbers: [95, 36]
Generated Node #3: [95, 36] from Operation: 6*6=36
Current State: 59:[95, 36], Operations: ['70-64=6', '6*6=36']
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
55,
53,
3,
52
] | 20 | [
"53+52=105",
"105/3=35",
"55-35=20"
] | Current State: 20:[55, 53, 3, 52], Operations: []
Exploring Operation: 53+52=105, Resulting Numbers: [55, 3, 105]
Generated Node #2: [55, 3, 105] from Operation: 53+52=105
Current State: 20:[55, 3, 105], Operations: ['53+52=105']
Exploring Operation: 105/3=35, Resulting Numbers: [55, 35]
Generated Node #3: [55, 35] from Operation: 105/3=35
Current State: 20:[55, 35], Operations: ['53+52=105', '105/3=35']
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
90,
38,
14,
12
] | 67 | [
"90*14=1260",
"1260/12=105",
"105-38=67"
] | Current State: 67:[90, 38, 14, 12], Operations: []
Exploring Operation: 90*14=1260, Resulting Numbers: [38, 12, 1260]
Generated Node #2: [38, 12, 1260] from Operation: 90*14=1260
Current State: 67:[38, 12, 1260], Operations: ['90*14=1260']
Exploring Operation: 1260/12=105, Resulting Numbers: [38, 105]
Generated Node #3: [38, 105] from Operation: 1260/12=105
Current State: 67:[38, 105], Operations: ['90*14=1260', '1260/12=105']
Exploring Operation: 105-38=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
59,
39,
9,
7
] | 36 | [
"59-39=20",
"9+7=16",
"20+16=36"
] | Current State: 36:[59, 39, 9, 7], Operations: []
Exploring Operation: 59-39=20, Resulting Numbers: [9, 7, 20]
Generated Node #2: [9, 7, 20] from Operation: 59-39=20
Current State: 36:[9, 7, 20], Operations: ['59-39=20']
Exploring Operation: 9+7=16, Resulting Numbers: [20, 16]
Generated Node #3: [20, 16] from Operation: 9+7=16
Current State: 36:[20, 16], Operations: ['59-39=20', '9+7=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
65,
29,
86,
19
] | 58 | [
"86-65=21",
"21-19=2",
"29*2=58"
] | Current State: 58:[65, 29, 86, 19], Operations: []
Exploring Operation: 86-65=21, Resulting Numbers: [29, 19, 21]
Generated Node #2: [29, 19, 21] from Operation: 86-65=21
Current State: 58:[29, 19, 21], Operations: ['86-65=21']
Exploring Operation: 21-19=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 21-19=2
Current State: 58:[29, 2], Operations: ['86-65=21', '21-19=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
78,
2,
69,
26
] | 44 | [
"78-69=9",
"2*9=18",
"26+18=44"
] | Current State: 44:[78, 2, 69, 26], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [2, 26, 9]
Generated Node #2: [2, 26, 9] from Operation: 78-69=9
Current State: 44:[2, 26, 9], Operations: ['78-69=9']
Exploring Operation: 2*9=18, Resulting Numbers: [26, 18]
Generated Node #3: [26, 18] from Operation: 2*9=18
Current State: 44:[26, 18], Operations: ['78-69=9', '2*9=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
75,
95,
44,
15
] | 39 | [
"95-75=20",
"44+15=59",
"59-20=39"
] | Current State: 39:[75, 95, 44, 15], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [44, 15, 20]
Generated Node #2: [44, 15, 20] from Operation: 95-75=20
Current State: 39:[44, 15, 20], Operations: ['95-75=20']
Exploring Operation: 44+15=59, Resulting Numbers: [20, 59]
Generated Node #3: [20, 59] from Operation: 44+15=59
Current State: 39:[20, 59], Operations: ['95-75=20', '44+15=59']
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
42,
55,
41,
51
] | 79 | [
"55-42=13",
"41+51=92",
"92-13=79"
] | Current State: 79:[42, 55, 41, 51], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [41, 51, 13]
Generated Node #2: [41, 51, 13] from Operation: 55-42=13
Current State: 79:[41, 51, 13], Operations: ['55-42=13']
Exploring Operation: 41+51=92, Resulting Numbers: [13, 92]
Generated Node #3: [13, 92] from Operation: 41+51=92
Current State: 79:[13, 92], Operations: ['55-42=13', '41+51=92']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
8,
22,
64,
99
] | 65 | [
"8+22=30",
"99-64=35",
"30+35=65"
] | Current State: 65:[8, 22, 64, 99], Operations: []
Exploring Operation: 8+22=30, Resulting Numbers: [64, 99, 30]
Generated Node #2: [64, 99, 30] from Operation: 8+22=30
Current State: 65:[64, 99, 30], Operations: ['8+22=30']
Exploring Operation: 99-64=35, Resulting Numbers: [30, 35]
Generated Node #3: [30, 35] from Operation: 99-64=35
Current State: 65:[30, 35], Operations: ['8+22=30', '99-64=35']
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
4,
73,
14,
52
] | 72 | [
"52/4=13",
"73-14=59",
"13+59=72"
] | Current State: 72:[4, 73, 14, 52], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [73, 14, 13]
Generated Node #2: [73, 14, 13] from Operation: 52/4=13
Current State: 72:[73, 14, 13], Operations: ['52/4=13']
Exploring Operation: 73-14=59, Resulting Numbers: [13, 59]
Generated Node #3: [13, 59] from Operation: 73-14=59
Current State: 72:[13, 59], Operations: ['52/4=13', '73-14=59']
Exploring Operation: 13+59=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
19,
1,
22,
80
] | 84 | [
"19-1=18",
"22+80=102",
"102-18=84"
] | Current State: 84:[19, 1, 22, 80], Operations: []
Exploring Operation: 19-1=18, Resulting Numbers: [22, 80, 18]
Generated Node #2: [22, 80, 18] from Operation: 19-1=18
Current State: 84:[22, 80, 18], Operations: ['19-1=18']
Exploring Operation: 22+80=102, Resulting Numbers: [18, 102]
Generated Node #3: [18, 102] from Operation: 22+80=102
Current State: 84:[18, 102], Operations: ['19-1=18', '22+80=102']
Exploring Operation: 102-18=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
98,
6,
94,
96
] | 91 | [
"98-96=2",
"6/2=3",
"94-3=91"
] | Current State: 91:[98, 6, 94, 96], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [6, 94, 2]
Generated Node #2: [6, 94, 2] from Operation: 98-96=2
Current State: 91:[6, 94, 2], Operations: ['98-96=2']
Exploring Operation: 6/2=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 6/2=3
Current State: 91:[94, 3], Operations: ['98-96=2', '6/2=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
57,
37,
1,
54
] | 35 | [
"57-37=20",
"1+54=55",
"55-20=35"
] | Current State: 35:[57, 37, 1, 54], Operations: []
Exploring Operation: 57-37=20, Resulting Numbers: [1, 54, 20]
Generated Node #2: [1, 54, 20] from Operation: 57-37=20
Current State: 35:[1, 54, 20], Operations: ['57-37=20']
Exploring Operation: 1+54=55, Resulting Numbers: [20, 55]
Generated Node #3: [20, 55] from Operation: 1+54=55
Current State: 35:[20, 55], Operations: ['57-37=20', '1+54=55']
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
24,
28,
94,
6
] | 50 | [
"24+94=118",
"28*6=168",
"168-118=50"
] | Current State: 50:[24, 28, 94, 6], Operations: []
Exploring Operation: 24+94=118, Resulting Numbers: [28, 6, 118]
Generated Node #2: [28, 6, 118] from Operation: 24+94=118
Current State: 50:[28, 6, 118], Operations: ['24+94=118']
Exploring Operation: 28*6=168, Resulting Numbers: [118, 168]
Generated Node #3: [118, 168] from Operation: 28*6=168
Current State: 50:[118, 168], Operations: ['24+94=118', '28*6=168']
Exploring Operation: 168-118=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
11,
47,
2,
97
] | 61 | [
"47+97=144",
"144/2=72",
"72-11=61"
] | Current State: 61:[11, 47, 2, 97], Operations: []
Exploring Operation: 47+97=144, Resulting Numbers: [11, 2, 144]
Generated Node #2: [11, 2, 144] from Operation: 47+97=144
Current State: 61:[11, 2, 144], Operations: ['47+97=144']
Exploring Operation: 144/2=72, Resulting Numbers: [11, 72]
Generated Node #3: [11, 72] from Operation: 144/2=72
Current State: 61:[11, 72], Operations: ['47+97=144', '144/2=72']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
31,
56,
88,
8
] | 13 | [
"56+88=144",
"144/8=18",
"31-18=13"
] | Current State: 13:[31, 56, 88, 8], Operations: []
Exploring Operation: 56+88=144, Resulting Numbers: [31, 8, 144]
Generated Node #2: [31, 8, 144] from Operation: 56+88=144
Current State: 13:[31, 8, 144], Operations: ['56+88=144']
Exploring Operation: 144/8=18, Resulting Numbers: [31, 18]
Generated Node #3: [31, 18] from Operation: 144/8=18
Current State: 13:[31, 18], Operations: ['56+88=144', '144/8=18']
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
8,
66,
72,
18
] | 30 | [
"72-66=6",
"8*6=48",
"48-18=30"
] | Current State: 30:[8, 66, 72, 18], Operations: []
Exploring Operation: 72-66=6, Resulting Numbers: [8, 18, 6]
Generated Node #2: [8, 18, 6] from Operation: 72-66=6
Current State: 30:[8, 18, 6], Operations: ['72-66=6']
Exploring Operation: 8*6=48, Resulting Numbers: [18, 48]
Generated Node #3: [18, 48] from Operation: 8*6=48
Current State: 30:[18, 48], Operations: ['72-66=6', '8*6=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
85,
83,
37,
2
] | 37 | [
"85-83=2",
"37+2=39",
"39-2=37"
] | Current State: 37:[85, 83, 37, 2], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [37, 2, 2]
Generated Node #2: [37, 2, 2] from Operation: 85-83=2
Current State: 37:[37, 2, 2], Operations: ['85-83=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,37 equal: Goal Reached
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
58,
4,
1,
83
] | 99 | [
"83-58=25",
"4*25=100",
"100-1=99"
] | Current State: 99:[58, 4, 1, 83], Operations: []
Exploring Operation: 83-58=25, Resulting Numbers: [4, 1, 25]
Generated Node #2: [4, 1, 25] from Operation: 83-58=25
Current State: 99:[4, 1, 25], Operations: ['83-58=25']
Exploring Operation: 4*25=100, Resulting Numbers: [1, 100]
Generated Node #3: [1, 100] from Operation: 4*25=100
Current State: 99:[1, 100], Operations: ['83-58=25', '4*25=100']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
1,
62,
23,
77
] | 37 | [
"1+62=63",
"23+77=100",
"100-63=37"
] | Current State: 37:[1, 62, 23, 77], Operations: []
Exploring Operation: 1+62=63, Resulting Numbers: [23, 77, 63]
Generated Node #2: [23, 77, 63] from Operation: 1+62=63
Current State: 37:[23, 77, 63], Operations: ['1+62=63']
Exploring Operation: 23+77=100, Resulting Numbers: [63, 100]
Generated Node #3: [63, 100] from Operation: 23+77=100
Current State: 37:[63, 100], Operations: ['1+62=63', '23+77=100']
Exploring Operation: 100-63=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
89,
76,
49,
2
] | 38 | [
"89-76=13",
"49+2=51",
"51-13=38"
] | Current State: 38:[89, 76, 49, 2], Operations: []
Exploring Operation: 89-76=13, Resulting Numbers: [49, 2, 13]
Generated Node #2: [49, 2, 13] from Operation: 89-76=13
Current State: 38:[49, 2, 13], Operations: ['89-76=13']
Exploring Operation: 49+2=51, Resulting Numbers: [13, 51]
Generated Node #3: [13, 51] from Operation: 49+2=51
Current State: 38:[13, 51], Operations: ['89-76=13', '49+2=51']
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
24,
31,
74,
31
] | 51 | [
"74-24=50",
"31/31=1",
"50+1=51"
] | Current State: 51:[24, 31, 74, 31], Operations: []
Exploring Operation: 74-24=50, Resulting Numbers: [31, 31, 50]
Generated Node #2: [31, 31, 50] from Operation: 74-24=50
Current State: 51:[31, 31, 50], Operations: ['74-24=50']
Exploring Operation: 31/31=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 31/31=1
Current State: 51:[50, 1], Operations: ['74-24=50', '31/31=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
53,
77,
23,
8
] | 55 | [
"77-53=24",
"23+8=31",
"24+31=55"
] | Current State: 55:[53, 77, 23, 8], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [23, 8, 24]
Generated Node #2: [23, 8, 24] from Operation: 77-53=24
Current State: 55:[23, 8, 24], Operations: ['77-53=24']
Exploring Operation: 23+8=31, Resulting Numbers: [24, 31]
Generated Node #3: [24, 31] from Operation: 23+8=31
Current State: 55:[24, 31], Operations: ['77-53=24', '23+8=31']
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
7,
83,
6,
52
] | 37 | [
"7+83=90",
"90/6=15",
"52-15=37"
] | Current State: 37:[7, 83, 6, 52], Operations: []
Exploring Operation: 7+83=90, Resulting Numbers: [6, 52, 90]
Generated Node #2: [6, 52, 90] from Operation: 7+83=90
Current State: 37:[6, 52, 90], Operations: ['7+83=90']
Exploring Operation: 90/6=15, Resulting Numbers: [52, 15]
Generated Node #3: [52, 15] from Operation: 90/6=15
Current State: 37:[52, 15], Operations: ['7+83=90', '90/6=15']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
89,
55,
12,
68
] | 88 | [
"89+55=144",
"68-12=56",
"144-56=88"
] | Current State: 88:[89, 55, 12, 68], Operations: []
Exploring Operation: 89+55=144, Resulting Numbers: [12, 68, 144]
Generated Node #2: [12, 68, 144] from Operation: 89+55=144
Current State: 88:[12, 68, 144], Operations: ['89+55=144']
Exploring Operation: 68-12=56, Resulting Numbers: [144, 56]
Generated Node #3: [144, 56] from Operation: 68-12=56
Current State: 88:[144, 56], Operations: ['89+55=144', '68-12=56']
Exploring Operation: 144-56=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
53,
4,
75,
59
] | 65 | [
"53-4=49",
"75-59=16",
"49+16=65"
] | Current State: 65:[53, 4, 75, 59], Operations: []
Exploring Operation: 53-4=49, Resulting Numbers: [75, 59, 49]
Generated Node #2: [75, 59, 49] from Operation: 53-4=49
Current State: 65:[75, 59, 49], Operations: ['53-4=49']
Exploring Operation: 75-59=16, Resulting Numbers: [49, 16]
Generated Node #3: [49, 16] from Operation: 75-59=16
Current State: 65:[49, 16], Operations: ['53-4=49', '75-59=16']
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
89,
9,
16,
43
] | 92 | [
"43-16=27",
"27/9=3",
"89+3=92"
] | Current State: 92:[89, 9, 16, 43], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [89, 9, 27]
Generated Node #2: [89, 9, 27] from Operation: 43-16=27
Current State: 92:[89, 9, 27], Operations: ['43-16=27']
Exploring Operation: 27/9=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 27/9=3
Current State: 92:[89, 3], Operations: ['43-16=27', '27/9=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
26,
84,
79,
91
] | 13 | [
"91-26=65",
"84-79=5",
"65/5=13"
] | Current State: 13:[26, 84, 79, 91], Operations: []
Exploring Operation: 91-26=65, Resulting Numbers: [84, 79, 65]
Generated Node #2: [84, 79, 65] from Operation: 91-26=65
Current State: 13:[84, 79, 65], Operations: ['91-26=65']
Exploring Operation: 84-79=5, Resulting Numbers: [65, 5]
Generated Node #3: [65, 5] from Operation: 84-79=5
Current State: 13:[65, 5], Operations: ['91-26=65', '84-79=5']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
8,
58,
76,
50
] | 12 | [
"58-50=8",
"8*8=64",
"76-64=12"
] | Current State: 12:[8, 58, 76, 50], Operations: []
Exploring Operation: 58-50=8, Resulting Numbers: [8, 76, 8]
Generated Node #2: [8, 76, 8] from Operation: 58-50=8
Current State: 12:[8, 76, 8], Operations: ['58-50=8']
Exploring Operation: 8*8=64, Resulting Numbers: [76, 64]
Generated Node #3: [76, 64] from Operation: 8*8=64
Current State: 12:[76, 64], Operations: ['58-50=8', '8*8=64']
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
22,
52,
22,
54
] | 52 | [
"22-22=0",
"54*0=0",
"52+0=52"
] | Current State: 52:[22, 52, 22, 54], Operations: []
Exploring Operation: 22-22=0, Resulting Numbers: [52, 54, 0]
Generated Node #2: [52, 54, 0] from Operation: 22-22=0
Current State: 52:[52, 54, 0], Operations: ['22-22=0']
Exploring Operation: 54*0=0, Resulting Numbers: [52, 0]
Generated Node #3: [52, 0] from Operation: 54*0=0
Current State: 52:[52, 0], Operations: ['22-22=0', '54*0=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
84,
22,
41
] | 39 | [
"22+41=63",
"52*63=3276",
"3276/84=39"
] | Current State: 39:[52, 84, 22, 41], Operations: []
Exploring Operation: 22+41=63, Resulting Numbers: [52, 84, 63]
Generated Node #2: [52, 84, 63] from Operation: 22+41=63
Current State: 39:[52, 84, 63], Operations: ['22+41=63']
Exploring Operation: 52*63=3276, Resulting Numbers: [84, 3276]
Generated Node #3: [84, 3276] from Operation: 52*63=3276
Current State: 39:[84, 3276], Operations: ['22+41=63', '52*63=3276']
Exploring Operation: 3276/84=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
56,
8,
28
] | 34 | [
"56-54=2",
"8+28=36",
"36-2=34"
] | Current State: 34:[54, 56, 8, 28], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [8, 28, 2]
Generated Node #2: [8, 28, 2] from Operation: 56-54=2
Current State: 34:[8, 28, 2], Operations: ['56-54=2']
Exploring Operation: 8+28=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 8+28=36
Current State: 34:[2, 36], Operations: ['56-54=2', '8+28=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
4,
36,
2,
22
] | 86 | [
"36-4=32",
"2*32=64",
"22+64=86"
] | Current State: 86:[4, 36, 2, 22], Operations: []
Exploring Operation: 36-4=32, Resulting Numbers: [2, 22, 32]
Generated Node #2: [2, 22, 32] from Operation: 36-4=32
Current State: 86:[2, 22, 32], Operations: ['36-4=32']
Exploring Operation: 2*32=64, Resulting Numbers: [22, 64]
Generated Node #3: [22, 64] from Operation: 2*32=64
Current State: 86:[22, 64], Operations: ['36-4=32', '2*32=64']
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
79,
40,
86,
58
] | 25 | [
"79+40=119",
"86+58=144",
"144-119=25"
] | Current State: 25:[79, 40, 86, 58], Operations: []
Exploring Operation: 79+40=119, Resulting Numbers: [86, 58, 119]
Generated Node #2: [86, 58, 119] from Operation: 79+40=119
Current State: 25:[86, 58, 119], Operations: ['79+40=119']
Exploring Operation: 86+58=144, Resulting Numbers: [119, 144]
Generated Node #3: [119, 144] from Operation: 86+58=144
Current State: 25:[119, 144], Operations: ['79+40=119', '86+58=144']
Exploring Operation: 144-119=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
9,
83,
55,
23
] | 59 | [
"9+83=92",
"92/23=4",
"55+4=59"
] | Current State: 59:[9, 83, 55, 23], Operations: []
Exploring Operation: 9+83=92, Resulting Numbers: [55, 23, 92]
Generated Node #2: [55, 23, 92] from Operation: 9+83=92
Current State: 59:[55, 23, 92], Operations: ['9+83=92']
Exploring Operation: 92/23=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 92/23=4
Current State: 59:[55, 4], Operations: ['9+83=92', '92/23=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
41,
21,
22,
43
] | 20 | [
"43-41=2",
"21*2=42",
"42-22=20"
] | Current State: 20:[41, 21, 22, 43], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [21, 22, 2]
Generated Node #2: [21, 22, 2] from Operation: 43-41=2
Current State: 20:[21, 22, 2], Operations: ['43-41=2']
Exploring Operation: 21*2=42, Resulting Numbers: [22, 42]
Generated Node #3: [22, 42] from Operation: 21*2=42
Current State: 20:[22, 42], Operations: ['43-41=2', '21*2=42']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
63,
32,
38,
3
] | 61 | [
"38-32=6",
"6/3=2",
"63-2=61"
] | Current State: 61:[63, 32, 38, 3], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [63, 3, 6]
Generated Node #2: [63, 3, 6] from Operation: 38-32=6
Current State: 61:[63, 3, 6], Operations: ['38-32=6']
Exploring Operation: 6/3=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 6/3=2
Current State: 61:[63, 2], Operations: ['38-32=6', '6/3=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
3,
75,
52,
65
] | 16 | [
"3*52=156",
"75+65=140",
"156-140=16"
] | Current State: 16:[3, 75, 52, 65], Operations: []
Exploring Operation: 3*52=156, Resulting Numbers: [75, 65, 156]
Generated Node #2: [75, 65, 156] from Operation: 3*52=156
Current State: 16:[75, 65, 156], Operations: ['3*52=156']
Exploring Operation: 75+65=140, Resulting Numbers: [156, 140]
Generated Node #3: [156, 140] from Operation: 75+65=140
Current State: 16:[156, 140], Operations: ['3*52=156', '75+65=140']
Exploring Operation: 156-140=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
96,
29,
43,
48
] | 12 | [
"96/48=2",
"43-29=14",
"14-2=12"
] | Current State: 12:[96, 29, 43, 48], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [29, 43, 2]
Generated Node #2: [29, 43, 2] from Operation: 96/48=2
Current State: 12:[29, 43, 2], Operations: ['96/48=2']
Exploring Operation: 43-29=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 43-29=14
Current State: 12:[2, 14], Operations: ['96/48=2', '43-29=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
62,
22,
24,
20
] | 50 | [
"22-20=2",
"24/2=12",
"62-12=50"
] | Current State: 50:[62, 22, 24, 20], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [62, 24, 2]
Generated Node #2: [62, 24, 2] from Operation: 22-20=2
Current State: 50:[62, 24, 2], Operations: ['22-20=2']
Exploring Operation: 24/2=12, Resulting Numbers: [62, 12]
Generated Node #3: [62, 12] from Operation: 24/2=12
Current State: 50:[62, 12], Operations: ['22-20=2', '24/2=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
76,
34,
9,
24
] | 27 | [
"76-34=42",
"24-9=15",
"42-15=27"
] | Current State: 27:[76, 34, 9, 24], Operations: []
Exploring Operation: 76-34=42, Resulting Numbers: [9, 24, 42]
Generated Node #2: [9, 24, 42] from Operation: 76-34=42
Current State: 27:[9, 24, 42], Operations: ['76-34=42']
Exploring Operation: 24-9=15, Resulting Numbers: [42, 15]
Generated Node #3: [42, 15] from Operation: 24-9=15
Current State: 27:[42, 15], Operations: ['76-34=42', '24-9=15']
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
40,
87,
65,
33
] | 60 | [
"40*33=1320",
"87-65=22",
"1320/22=60"
] | Current State: 60:[40, 87, 65, 33], Operations: []
Exploring Operation: 40*33=1320, Resulting Numbers: [87, 65, 1320]
Generated Node #2: [87, 65, 1320] from Operation: 40*33=1320
Current State: 60:[87, 65, 1320], Operations: ['40*33=1320']
Exploring Operation: 87-65=22, Resulting Numbers: [1320, 22]
Generated Node #3: [1320, 22] from Operation: 87-65=22
Current State: 60:[1320, 22], Operations: ['40*33=1320', '87-65=22']
Exploring Operation: 1320/22=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
72,
1,
59,
37
] | 25 | [
"72-1=71",
"59+37=96",
"96-71=25"
] | Current State: 25:[72, 1, 59, 37], Operations: []
Exploring Operation: 72-1=71, Resulting Numbers: [59, 37, 71]
Generated Node #2: [59, 37, 71] from Operation: 72-1=71
Current State: 25:[59, 37, 71], Operations: ['72-1=71']
Exploring Operation: 59+37=96, Resulting Numbers: [71, 96]
Generated Node #3: [71, 96] from Operation: 59+37=96
Current State: 25:[71, 96], Operations: ['72-1=71', '59+37=96']
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
8,
41,
24,
62
] | 71 | [
"41-8=33",
"62-24=38",
"33+38=71"
] | Current State: 71:[8, 41, 24, 62], Operations: []
Exploring Operation: 41-8=33, Resulting Numbers: [24, 62, 33]
Generated Node #2: [24, 62, 33] from Operation: 41-8=33
Current State: 71:[24, 62, 33], Operations: ['41-8=33']
Exploring Operation: 62-24=38, Resulting Numbers: [33, 38]
Generated Node #3: [33, 38] from Operation: 62-24=38
Current State: 71:[33, 38], Operations: ['41-8=33', '62-24=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
59,
55,
33,
51
] | 72 | [
"59-55=4",
"51-33=18",
"4*18=72"
] | Current State: 72:[59, 55, 33, 51], Operations: []
Exploring Operation: 59-55=4, Resulting Numbers: [33, 51, 4]
Generated Node #2: [33, 51, 4] from Operation: 59-55=4
Current State: 72:[33, 51, 4], Operations: ['59-55=4']
Exploring Operation: 51-33=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 51-33=18
Current State: 72:[4, 18], Operations: ['59-55=4', '51-33=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
66,
92,
69,
70
] | 26 | [
"92-66=26",
"70-69=1",
"26*1=26"
] | Current State: 26:[66, 92, 69, 70], Operations: []
Exploring Operation: 92-66=26, Resulting Numbers: [69, 70, 26]
Generated Node #2: [69, 70, 26] from Operation: 92-66=26
Current State: 26:[69, 70, 26], Operations: ['92-66=26']
Exploring Operation: 70-69=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 70-69=1
Current State: 26:[26, 1], Operations: ['92-66=26', '70-69=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
46,
71,
60,
8
] | 93 | [
"71-46=25",
"60+8=68",
"25+68=93"
] | Current State: 93:[46, 71, 60, 8], Operations: []
Exploring Operation: 71-46=25, Resulting Numbers: [60, 8, 25]
Generated Node #2: [60, 8, 25] from Operation: 71-46=25
Current State: 93:[60, 8, 25], Operations: ['71-46=25']
Exploring Operation: 60+8=68, Resulting Numbers: [25, 68]
Generated Node #3: [25, 68] from Operation: 60+8=68
Current State: 93:[25, 68], Operations: ['71-46=25', '60+8=68']
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
80,
85,
27,
83
] | 52 | [
"85-80=5",
"27*5=135",
"135-83=52"
] | Current State: 52:[80, 85, 27, 83], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [27, 83, 5]
Generated Node #2: [27, 83, 5] from Operation: 85-80=5
Current State: 52:[27, 83, 5], Operations: ['85-80=5']
Exploring Operation: 27*5=135, Resulting Numbers: [83, 135]
Generated Node #3: [83, 135] from Operation: 27*5=135
Current State: 52:[83, 135], Operations: ['85-80=5', '27*5=135']
Exploring Operation: 135-83=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
75,
53,
4,
16
] | 48 | [
"75+53=128",
"128/4=32",
"16+32=48"
] | Current State: 48:[75, 53, 4, 16], Operations: []
Exploring Operation: 75+53=128, Resulting Numbers: [4, 16, 128]
Generated Node #2: [4, 16, 128] from Operation: 75+53=128
Current State: 48:[4, 16, 128], Operations: ['75+53=128']
Exploring Operation: 128/4=32, Resulting Numbers: [16, 32]
Generated Node #3: [16, 32] from Operation: 128/4=32
Current State: 48:[16, 32], Operations: ['75+53=128', '128/4=32']
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
61,
5,
45,
80
] | 54 | [
"80-45=35",
"35/5=7",
"61-7=54"
] | Current State: 54:[61, 5, 45, 80], Operations: []
Exploring Operation: 80-45=35, Resulting Numbers: [61, 5, 35]
Generated Node #2: [61, 5, 35] from Operation: 80-45=35
Current State: 54:[61, 5, 35], Operations: ['80-45=35']
Exploring Operation: 35/5=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 35/5=7
Current State: 54:[61, 7], Operations: ['80-45=35', '35/5=7']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
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