nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
15,
29,
74,
83
] | 53 | [
"15+29=44",
"83-74=9",
"44+9=53"
] | Current State: 53:[15, 29, 74, 83], Operations: []
Exploring Operation: 15+29=44, Resulting Numbers: [74, 83, 44]
Generated Node #2: [74, 83, 44] from Operation: 15+29=44
Current State: 53:[74, 83, 44], Operations: ['15+29=44']
Exploring Operation: 83-74=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 83-74=9
Current State: 53:[44, 9], Operations: ['15+29=44', '83-74=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
70,
3,
69,
13
] | 39 | [
"70-69=1",
"3*13=39",
"1*39=39"
] | Current State: 39:[70, 3, 69, 13], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [3, 13, 1]
Generated Node #2: [3, 13, 1] from Operation: 70-69=1
Current State: 39:[3, 13, 1], Operations: ['70-69=1']
Exploring Operation: 3*13=39, Resulting Numbers: [1, 39]
Generated Node #3: [1, 39] from Operation: 3*13=39
Current State: 39:[1, 39], Operations: ['70-69=1', '3*13=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
90,
18,
39,
9
] | 88 | [
"18*39=702",
"90+702=792",
"792/9=88"
] | Current State: 88:[90, 18, 39, 9], Operations: []
Exploring Operation: 18*39=702, Resulting Numbers: [90, 9, 702]
Generated Node #2: [90, 9, 702] from Operation: 18*39=702
Current State: 88:[90, 9, 702], Operations: ['18*39=702']
Exploring Operation: 90+702=792, Resulting Numbers: [9, 792]
Generated Node #3: [9, 792] from Operation: 90+702=792
Current State: 88:[9, 792], Operations: ['18*39=702', '90+702=792']
Exploring Operation: 792/9=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
72,
3,
91,
97
] | 26 | [
"91-72=19",
"97-19=78",
"78/3=26"
] | Current State: 26:[72, 3, 91, 97], Operations: []
Exploring Operation: 91-72=19, Resulting Numbers: [3, 97, 19]
Generated Node #2: [3, 97, 19] from Operation: 91-72=19
Current State: 26:[3, 97, 19], Operations: ['91-72=19']
Exploring Operation: 97-19=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 97-19=78
Current State: 26:[3, 78], Operations: ['91-72=19', '97-19=78']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
61,
59,
35,
37
] | 57 | [
"37-35=2",
"59*2=118",
"118-61=57"
] | Current State: 57:[61, 59, 35, 37], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [61, 59, 2]
Generated Node #2: [61, 59, 2] from Operation: 37-35=2
Current State: 57:[61, 59, 2], Operations: ['37-35=2']
Exploring Operation: 59*2=118, Resulting Numbers: [61, 118]
Generated Node #3: [61, 118] from Operation: 59*2=118
Current State: 57:[61, 118], Operations: ['37-35=2', '59*2=118']
Exploring Operation: 118-61=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
38,
45,
9,
51
] | 49 | [
"45-38=7",
"51-9=42",
"7+42=49"
] | Current State: 49:[38, 45, 9, 51], Operations: []
Exploring Operation: 45-38=7, Resulting Numbers: [9, 51, 7]
Generated Node #2: [9, 51, 7] from Operation: 45-38=7
Current State: 49:[9, 51, 7], Operations: ['45-38=7']
Exploring Operation: 51-9=42, Resulting Numbers: [7, 42]
Generated Node #3: [7, 42] from Operation: 51-9=42
Current State: 49:[7, 42], Operations: ['45-38=7', '51-9=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
54,
79,
95
] | 56 | [
"95-79=16",
"16/8=2",
"54+2=56"
] | Current State: 56:[8, 54, 79, 95], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [8, 54, 16]
Generated Node #2: [8, 54, 16] from Operation: 95-79=16
Current State: 56:[8, 54, 16], Operations: ['95-79=16']
Exploring Operation: 16/8=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 16/8=2
Current State: 56:[54, 2], Operations: ['95-79=16', '16/8=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
43,
10,
30,
24
] | 51 | [
"30/10=3",
"24/3=8",
"43+8=51"
] | Current State: 51:[43, 10, 30, 24], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [43, 24, 3]
Generated Node #2: [43, 24, 3] from Operation: 30/10=3
Current State: 51:[43, 24, 3], Operations: ['30/10=3']
Exploring Operation: 24/3=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 24/3=8
Current State: 51:[43, 8], Operations: ['30/10=3', '24/3=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
46,
4,
41,
42
] | 45 | [
"46*41=1886",
"4+1886=1890",
"1890/42=45"
] | Current State: 45:[46, 4, 41, 42], Operations: []
Exploring Operation: 46*41=1886, Resulting Numbers: [4, 42, 1886]
Generated Node #2: [4, 42, 1886] from Operation: 46*41=1886
Current State: 45:[4, 42, 1886], Operations: ['46*41=1886']
Exploring Operation: 4+1886=1890, Resulting Numbers: [42, 1890]
Generated Node #3: [42, 1890] from Operation: 4+1886=1890
Current State: 45:[42, 1890], Operations: ['46*41=1886', '4+1886=1890']
Exploring Operation: 1890/42=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
7,
91,
15,
74
] | 60 | [
"7*15=105",
"91+74=165",
"165-105=60"
] | Current State: 60:[7, 91, 15, 74], Operations: []
Exploring Operation: 7*15=105, Resulting Numbers: [91, 74, 105]
Generated Node #2: [91, 74, 105] from Operation: 7*15=105
Current State: 60:[91, 74, 105], Operations: ['7*15=105']
Exploring Operation: 91+74=165, Resulting Numbers: [105, 165]
Generated Node #3: [105, 165] from Operation: 91+74=165
Current State: 60:[105, 165], Operations: ['7*15=105', '91+74=165']
Exploring Operation: 165-105=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
99,
32,
55,
5
] | 41 | [
"99*5=495",
"495/55=9",
"32+9=41"
] | Current State: 41:[99, 32, 55, 5], Operations: []
Exploring Operation: 99*5=495, Resulting Numbers: [32, 55, 495]
Generated Node #2: [32, 55, 495] from Operation: 99*5=495
Current State: 41:[32, 55, 495], Operations: ['99*5=495']
Exploring Operation: 495/55=9, Resulting Numbers: [32, 9]
Generated Node #3: [32, 9] from Operation: 495/55=9
Current State: 41:[32, 9], Operations: ['99*5=495', '495/55=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
22,
18,
79,
36
] | 83 | [
"22+18=40",
"79-36=43",
"40+43=83"
] | Current State: 83:[22, 18, 79, 36], Operations: []
Exploring Operation: 22+18=40, Resulting Numbers: [79, 36, 40]
Generated Node #2: [79, 36, 40] from Operation: 22+18=40
Current State: 83:[79, 36, 40], Operations: ['22+18=40']
Exploring Operation: 79-36=43, Resulting Numbers: [40, 43]
Generated Node #3: [40, 43] from Operation: 79-36=43
Current State: 83:[40, 43], Operations: ['22+18=40', '79-36=43']
Exploring Operation: 40+43=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
96,
20,
7,
26
] | 96 | [
"20+7=27",
"27-26=1",
"96*1=96"
] | Current State: 96:[96, 20, 7, 26], Operations: []
Exploring Operation: 20+7=27, Resulting Numbers: [96, 26, 27]
Generated Node #2: [96, 26, 27] from Operation: 20+7=27
Current State: 96:[96, 26, 27], Operations: ['20+7=27']
Exploring Operation: 27-26=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 27-26=1
Current State: 96:[96, 1], Operations: ['20+7=27', '27-26=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
57,
55,
99,
81
] | 68 | [
"57+55=112",
"99+81=180",
"180-112=68"
] | Current State: 68:[57, 55, 99, 81], Operations: []
Exploring Operation: 57+55=112, Resulting Numbers: [99, 81, 112]
Generated Node #2: [99, 81, 112] from Operation: 57+55=112
Current State: 68:[99, 81, 112], Operations: ['57+55=112']
Exploring Operation: 99+81=180, Resulting Numbers: [112, 180]
Generated Node #3: [112, 180] from Operation: 99+81=180
Current State: 68:[112, 180], Operations: ['57+55=112', '99+81=180']
Exploring Operation: 180-112=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
23,
26,
13,
77
] | 61 | [
"26-23=3",
"77-13=64",
"64-3=61"
] | Current State: 61:[23, 26, 13, 77], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [13, 77, 3]
Generated Node #2: [13, 77, 3] from Operation: 26-23=3
Current State: 61:[13, 77, 3], Operations: ['26-23=3']
Exploring Operation: 77-13=64, Resulting Numbers: [3, 64]
Generated Node #3: [3, 64] from Operation: 77-13=64
Current State: 61:[3, 64], Operations: ['26-23=3', '77-13=64']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
96,
65,
36,
15
] | 52 | [
"96-65=31",
"36-15=21",
"31+21=52"
] | Current State: 52:[96, 65, 36, 15], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [36, 15, 31]
Generated Node #2: [36, 15, 31] from Operation: 96-65=31
Current State: 52:[36, 15, 31], Operations: ['96-65=31']
Exploring Operation: 36-15=21, Resulting Numbers: [31, 21]
Generated Node #3: [31, 21] from Operation: 36-15=21
Current State: 52:[31, 21], Operations: ['96-65=31', '36-15=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
19,
57,
71,
92
] | 55 | [
"19+57=76",
"92-71=21",
"76-21=55"
] | Current State: 55:[19, 57, 71, 92], Operations: []
Exploring Operation: 19+57=76, Resulting Numbers: [71, 92, 76]
Generated Node #2: [71, 92, 76] from Operation: 19+57=76
Current State: 55:[71, 92, 76], Operations: ['19+57=76']
Exploring Operation: 92-71=21, Resulting Numbers: [76, 21]
Generated Node #3: [76, 21] from Operation: 92-71=21
Current State: 55:[76, 21], Operations: ['19+57=76', '92-71=21']
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
64,
21,
48
] | 52 | [
"21-5=16",
"64/16=4",
"48+4=52"
] | Current State: 52:[5, 64, 21, 48], Operations: []
Exploring Operation: 21-5=16, Resulting Numbers: [64, 48, 16]
Generated Node #2: [64, 48, 16] from Operation: 21-5=16
Current State: 52:[64, 48, 16], Operations: ['21-5=16']
Exploring Operation: 64/16=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 64/16=4
Current State: 52:[48, 4], Operations: ['21-5=16', '64/16=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
25,
6,
9,
32
] | 96 | [
"25-9=16",
"32-16=16",
"6*16=96"
] | Current State: 96:[25, 6, 9, 32], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [6, 32, 16]
Generated Node #2: [6, 32, 16] from Operation: 25-9=16
Current State: 96:[6, 32, 16], Operations: ['25-9=16']
Exploring Operation: 32-16=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 32-16=16
Current State: 96:[6, 16], Operations: ['25-9=16', '32-16=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
50,
45,
81,
47
] | 33 | [
"50+45=95",
"81+47=128",
"128-95=33"
] | Current State: 33:[50, 45, 81, 47], Operations: []
Exploring Operation: 50+45=95, Resulting Numbers: [81, 47, 95]
Generated Node #2: [81, 47, 95] from Operation: 50+45=95
Current State: 33:[81, 47, 95], Operations: ['50+45=95']
Exploring Operation: 81+47=128, Resulting Numbers: [95, 128]
Generated Node #3: [95, 128] from Operation: 81+47=128
Current State: 33:[95, 128], Operations: ['50+45=95', '81+47=128']
Exploring Operation: 128-95=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
7,
16,
79,
71
] | 83 | [
"71-7=64",
"64/16=4",
"79+4=83"
] | Current State: 83:[7, 16, 79, 71], Operations: []
Exploring Operation: 71-7=64, Resulting Numbers: [16, 79, 64]
Generated Node #2: [16, 79, 64] from Operation: 71-7=64
Current State: 83:[16, 79, 64], Operations: ['71-7=64']
Exploring Operation: 64/16=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 64/16=4
Current State: 83:[79, 4], Operations: ['71-7=64', '64/16=4']
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
6,
31,
21,
36
] | 95 | [
"36/6=6",
"21*6=126",
"126-31=95"
] | Current State: 95:[6, 31, 21, 36], Operations: []
Exploring Operation: 36/6=6, Resulting Numbers: [31, 21, 6]
Generated Node #2: [31, 21, 6] from Operation: 36/6=6
Current State: 95:[31, 21, 6], Operations: ['36/6=6']
Exploring Operation: 21*6=126, Resulting Numbers: [31, 126]
Generated Node #3: [31, 126] from Operation: 21*6=126
Current State: 95:[31, 126], Operations: ['36/6=6', '21*6=126']
Exploring Operation: 126-31=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
36,
39,
2,
2
] | 44 | [
"36-2=34",
"39*2=78",
"78-34=44"
] | Current State: 44:[36, 39, 2, 2], Operations: []
Exploring Operation: 36-2=34, Resulting Numbers: [39, 34]
Generated Node #2: [39, 34] from Operation: 36-2=34
Current State: 44:[39, 34], Operations: ['36-2=34']
Exploring Operation: 39*2=78, Resulting Numbers: [34, 78]
Generated Node #3: [34, 78] from Operation: 39*2=78
Current State: 44:[34, 78], Operations: ['36-2=34', '39*2=78']
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
47,
33,
82,
59
] | 61 | [
"47+33=80",
"82+59=141",
"141-80=61"
] | Current State: 61:[47, 33, 82, 59], Operations: []
Exploring Operation: 47+33=80, Resulting Numbers: [82, 59, 80]
Generated Node #2: [82, 59, 80] from Operation: 47+33=80
Current State: 61:[82, 59, 80], Operations: ['47+33=80']
Exploring Operation: 82+59=141, Resulting Numbers: [80, 141]
Generated Node #3: [80, 141] from Operation: 82+59=141
Current State: 61:[80, 141], Operations: ['47+33=80', '82+59=141']
Exploring Operation: 141-80=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
27,
52,
79,
99
] | 99 | [
"27+52=79",
"79+99=178",
"178-79=99"
] | Current State: 99:[27, 52, 79, 99], Operations: []
Exploring Operation: 27+52=79, Resulting Numbers: [79, 99, 79]
Generated Node #2: [79, 99, 79] from Operation: 27+52=79
Current State: 99:[79, 99, 79], Operations: ['27+52=79']
Exploring Operation: 79+99=178, Resulting Numbers: [178]
178,99 equal: Goal Reached
Exploring Operation: 178-79=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
89,
71,
53,
42
] | 77 | [
"89-71=18",
"53+42=95",
"95-18=77"
] | Current State: 77:[89, 71, 53, 42], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [53, 42, 18]
Generated Node #2: [53, 42, 18] from Operation: 89-71=18
Current State: 77:[53, 42, 18], Operations: ['89-71=18']
Exploring Operation: 53+42=95, Resulting Numbers: [18, 95]
Generated Node #3: [18, 95] from Operation: 53+42=95
Current State: 77:[18, 95], Operations: ['89-71=18', '53+42=95']
Exploring Operation: 95-18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
5,
43,
22,
34
] | 65 | [
"43-22=21",
"34-21=13",
"5*13=65"
] | Current State: 65:[5, 43, 22, 34], Operations: []
Exploring Operation: 43-22=21, Resulting Numbers: [5, 34, 21]
Generated Node #2: [5, 34, 21] from Operation: 43-22=21
Current State: 65:[5, 34, 21], Operations: ['43-22=21']
Exploring Operation: 34-21=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 34-21=13
Current State: 65:[5, 13], Operations: ['43-22=21', '34-21=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
8,
75,
17,
14
] | 20 | [
"8*14=112",
"75+17=92",
"112-92=20"
] | Current State: 20:[8, 75, 17, 14], Operations: []
Exploring Operation: 8*14=112, Resulting Numbers: [75, 17, 112]
Generated Node #2: [75, 17, 112] from Operation: 8*14=112
Current State: 20:[75, 17, 112], Operations: ['8*14=112']
Exploring Operation: 75+17=92, Resulting Numbers: [112, 92]
Generated Node #3: [112, 92] from Operation: 75+17=92
Current State: 20:[112, 92], Operations: ['8*14=112', '75+17=92']
Exploring Operation: 112-92=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
24,
20,
20,
22
] | 18 | [
"24+20=44",
"44/22=2",
"20-2=18"
] | Current State: 18:[24, 20, 20, 22], Operations: []
Exploring Operation: 24+20=44, Resulting Numbers: [22, 44]
Generated Node #2: [22, 44] from Operation: 24+20=44
Current State: 18:[22, 44], Operations: ['24+20=44']
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,18 equal: Goal Reached
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
48,
49,
38,
13
] | 72 | [
"48+49=97",
"38-13=25",
"97-25=72"
] | Current State: 72:[48, 49, 38, 13], Operations: []
Exploring Operation: 48+49=97, Resulting Numbers: [38, 13, 97]
Generated Node #2: [38, 13, 97] from Operation: 48+49=97
Current State: 72:[38, 13, 97], Operations: ['48+49=97']
Exploring Operation: 38-13=25, Resulting Numbers: [97, 25]
Generated Node #3: [97, 25] from Operation: 38-13=25
Current State: 72:[97, 25], Operations: ['48+49=97', '38-13=25']
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
21,
82,
86,
83
] | 58 | [
"82-21=61",
"86-83=3",
"61-3=58"
] | Current State: 58:[21, 82, 86, 83], Operations: []
Exploring Operation: 82-21=61, Resulting Numbers: [86, 83, 61]
Generated Node #2: [86, 83, 61] from Operation: 82-21=61
Current State: 58:[86, 83, 61], Operations: ['82-21=61']
Exploring Operation: 86-83=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 86-83=3
Current State: 58:[61, 3], Operations: ['82-21=61', '86-83=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
45,
8,
65,
67
] | 98 | [
"67-65=2",
"45*2=90",
"8+90=98"
] | Current State: 98:[45, 8, 65, 67], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [45, 8, 2]
Generated Node #2: [45, 8, 2] from Operation: 67-65=2
Current State: 98:[45, 8, 2], Operations: ['67-65=2']
Exploring Operation: 45*2=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 45*2=90
Current State: 98:[8, 90], Operations: ['67-65=2', '45*2=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
1,
2,
49,
75
] | 13 | [
"1*2=2",
"75-49=26",
"26/2=13"
] | Current State: 13:[1, 2, 49, 75], Operations: []
Exploring Operation: 1*2=2, Resulting Numbers: [49, 75, 2]
Generated Node #2: [49, 75, 2] from Operation: 1*2=2
Current State: 13:[49, 75, 2], Operations: ['1*2=2']
Exploring Operation: 75-49=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 75-49=26
Current State: 13:[2, 26], Operations: ['1*2=2', '75-49=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
34,
36,
38
] | 67 | [
"38-36=2",
"34/2=17",
"50+17=67"
] | Current State: 67:[50, 34, 36, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [50, 34, 2]
Generated Node #2: [50, 34, 2] from Operation: 38-36=2
Current State: 67:[50, 34, 2], Operations: ['38-36=2']
Exploring Operation: 34/2=17, Resulting Numbers: [50, 17]
Generated Node #3: [50, 17] from Operation: 34/2=17
Current State: 67:[50, 17], Operations: ['38-36=2', '34/2=17']
Exploring Operation: 50+17=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
34,
17,
63,
59
] | 51 | [
"34*63=2142",
"59-17=42",
"2142/42=51"
] | Current State: 51:[34, 17, 63, 59], Operations: []
Exploring Operation: 34*63=2142, Resulting Numbers: [17, 59, 2142]
Generated Node #2: [17, 59, 2142] from Operation: 34*63=2142
Current State: 51:[17, 59, 2142], Operations: ['34*63=2142']
Exploring Operation: 59-17=42, Resulting Numbers: [2142, 42]
Generated Node #3: [2142, 42] from Operation: 59-17=42
Current State: 51:[2142, 42], Operations: ['34*63=2142', '59-17=42']
Exploring Operation: 2142/42=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
15,
78,
88,
59
] | 76 | [
"59-15=44",
"88/44=2",
"78-2=76"
] | Current State: 76:[15, 78, 88, 59], Operations: []
Exploring Operation: 59-15=44, Resulting Numbers: [78, 88, 44]
Generated Node #2: [78, 88, 44] from Operation: 59-15=44
Current State: 76:[78, 88, 44], Operations: ['59-15=44']
Exploring Operation: 88/44=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 88/44=2
Current State: 76:[78, 2], Operations: ['59-15=44', '88/44=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
15,
2,
5,
51
] | 22 | [
"15*5=75",
"2+51=53",
"75-53=22"
] | Current State: 22:[15, 2, 5, 51], Operations: []
Exploring Operation: 15*5=75, Resulting Numbers: [2, 51, 75]
Generated Node #2: [2, 51, 75] from Operation: 15*5=75
Current State: 22:[2, 51, 75], Operations: ['15*5=75']
Exploring Operation: 2+51=53, Resulting Numbers: [75, 53]
Generated Node #3: [75, 53] from Operation: 2+51=53
Current State: 22:[75, 53], Operations: ['15*5=75', '2+51=53']
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
41,
81,
11,
32
] | 88 | [
"81-41=40",
"40-32=8",
"11*8=88"
] | Current State: 88:[41, 81, 11, 32], Operations: []
Exploring Operation: 81-41=40, Resulting Numbers: [11, 32, 40]
Generated Node #2: [11, 32, 40] from Operation: 81-41=40
Current State: 88:[11, 32, 40], Operations: ['81-41=40']
Exploring Operation: 40-32=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 40-32=8
Current State: 88:[11, 8], Operations: ['81-41=40', '40-32=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
4,
6,
84
] | 90 | [
"9*4=36",
"36/6=6",
"84+6=90"
] | Current State: 90:[9, 4, 6, 84], Operations: []
Exploring Operation: 9*4=36, Resulting Numbers: [6, 84, 36]
Generated Node #2: [6, 84, 36] from Operation: 9*4=36
Current State: 90:[6, 84, 36], Operations: ['9*4=36']
Exploring Operation: 36/6=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 36/6=6
Current State: 90:[84, 6], Operations: ['9*4=36', '36/6=6']
Exploring Operation: 84+6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
25,
74,
70,
90
] | 63 | [
"74-25=49",
"90*49=4410",
"4410/70=63"
] | Current State: 63:[25, 74, 70, 90], Operations: []
Exploring Operation: 74-25=49, Resulting Numbers: [70, 90, 49]
Generated Node #2: [70, 90, 49] from Operation: 74-25=49
Current State: 63:[70, 90, 49], Operations: ['74-25=49']
Exploring Operation: 90*49=4410, Resulting Numbers: [70, 4410]
Generated Node #3: [70, 4410] from Operation: 90*49=4410
Current State: 63:[70, 4410], Operations: ['74-25=49', '90*49=4410']
Exploring Operation: 4410/70=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
49,
45,
82,
43
] | 23 | [
"45*43=1935",
"1935-49=1886",
"1886/82=23"
] | Current State: 23:[49, 45, 82, 43], Operations: []
Exploring Operation: 45*43=1935, Resulting Numbers: [49, 82, 1935]
Generated Node #2: [49, 82, 1935] from Operation: 45*43=1935
Current State: 23:[49, 82, 1935], Operations: ['45*43=1935']
Exploring Operation: 1935-49=1886, Resulting Numbers: [82, 1886]
Generated Node #3: [82, 1886] from Operation: 1935-49=1886
Current State: 23:[82, 1886], Operations: ['45*43=1935', '1935-49=1886']
Exploring Operation: 1886/82=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
10,
77,
9,
8
] | 15 | [
"10+77=87",
"9*8=72",
"87-72=15"
] | Current State: 15:[10, 77, 9, 8], Operations: []
Exploring Operation: 10+77=87, Resulting Numbers: [9, 8, 87]
Generated Node #2: [9, 8, 87] from Operation: 10+77=87
Current State: 15:[9, 8, 87], Operations: ['10+77=87']
Exploring Operation: 9*8=72, Resulting Numbers: [87, 72]
Generated Node #3: [87, 72] from Operation: 9*8=72
Current State: 15:[87, 72], Operations: ['10+77=87', '9*8=72']
Exploring Operation: 87-72=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
58,
70,
38,
3
] | 38 | [
"58+38=96",
"96/3=32",
"70-32=38"
] | Current State: 38:[58, 70, 38, 3], Operations: []
Exploring Operation: 58+38=96, Resulting Numbers: [70, 3, 96]
Generated Node #2: [70, 3, 96] from Operation: 58+38=96
Current State: 38:[70, 3, 96], Operations: ['58+38=96']
Exploring Operation: 96/3=32, Resulting Numbers: [70, 32]
Generated Node #3: [70, 32] from Operation: 96/3=32
Current State: 38:[70, 32], Operations: ['58+38=96', '96/3=32']
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
99,
12,
2,
82
] | 89 | [
"12+82=94",
"2*94=188",
"188-99=89"
] | Current State: 89:[99, 12, 2, 82], Operations: []
Exploring Operation: 12+82=94, Resulting Numbers: [99, 2, 94]
Generated Node #2: [99, 2, 94] from Operation: 12+82=94
Current State: 89:[99, 2, 94], Operations: ['12+82=94']
Exploring Operation: 2*94=188, Resulting Numbers: [99, 188]
Generated Node #3: [99, 188] from Operation: 2*94=188
Current State: 89:[99, 188], Operations: ['12+82=94', '2*94=188']
Exploring Operation: 188-99=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
76,
6,
52,
8
] | 18 | [
"76-52=24",
"6*24=144",
"144/8=18"
] | Current State: 18:[76, 6, 52, 8], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [6, 8, 24]
Generated Node #2: [6, 8, 24] from Operation: 76-52=24
Current State: 18:[6, 8, 24], Operations: ['76-52=24']
Exploring Operation: 6*24=144, Resulting Numbers: [8, 144]
Generated Node #3: [8, 144] from Operation: 6*24=144
Current State: 18:[8, 144], Operations: ['76-52=24', '6*24=144']
Exploring Operation: 144/8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
84,
43,
96,
12
] | 46 | [
"84/12=7",
"96-43=53",
"53-7=46"
] | Current State: 46:[84, 43, 96, 12], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [43, 96, 7]
Generated Node #2: [43, 96, 7] from Operation: 84/12=7
Current State: 46:[43, 96, 7], Operations: ['84/12=7']
Exploring Operation: 96-43=53, Resulting Numbers: [7, 53]
Generated Node #3: [7, 53] from Operation: 96-43=53
Current State: 46:[7, 53], Operations: ['84/12=7', '96-43=53']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
74,
38,
48,
51
] | 12 | [
"74-38=36",
"51-48=3",
"36/3=12"
] | Current State: 12:[74, 38, 48, 51], Operations: []
Exploring Operation: 74-38=36, Resulting Numbers: [48, 51, 36]
Generated Node #2: [48, 51, 36] from Operation: 74-38=36
Current State: 12:[48, 51, 36], Operations: ['74-38=36']
Exploring Operation: 51-48=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 51-48=3
Current State: 12:[36, 3], Operations: ['74-38=36', '51-48=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
17,
64,
94,
86
] | 39 | [
"64-17=47",
"94-86=8",
"47-8=39"
] | Current State: 39:[17, 64, 94, 86], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [94, 86, 47]
Generated Node #2: [94, 86, 47] from Operation: 64-17=47
Current State: 39:[94, 86, 47], Operations: ['64-17=47']
Exploring Operation: 94-86=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 94-86=8
Current State: 39:[47, 8], Operations: ['64-17=47', '94-86=8']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
68,
4,
80,
36
] | 54 | [
"68+36=104",
"104/4=26",
"80-26=54"
] | Current State: 54:[68, 4, 80, 36], Operations: []
Exploring Operation: 68+36=104, Resulting Numbers: [4, 80, 104]
Generated Node #2: [4, 80, 104] from Operation: 68+36=104
Current State: 54:[4, 80, 104], Operations: ['68+36=104']
Exploring Operation: 104/4=26, Resulting Numbers: [80, 26]
Generated Node #3: [80, 26] from Operation: 104/4=26
Current State: 54:[80, 26], Operations: ['68+36=104', '104/4=26']
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
37,
40,
25,
59
] | 87 | [
"40-37=3",
"25+59=84",
"3+84=87"
] | Current State: 87:[37, 40, 25, 59], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [25, 59, 3]
Generated Node #2: [25, 59, 3] from Operation: 40-37=3
Current State: 87:[25, 59, 3], Operations: ['40-37=3']
Exploring Operation: 25+59=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 25+59=84
Current State: 87:[3, 84], Operations: ['40-37=3', '25+59=84']
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
74,
66,
80,
17
] | 27 | [
"74-66=8",
"80/8=10",
"17+10=27"
] | Current State: 27:[74, 66, 80, 17], Operations: []
Exploring Operation: 74-66=8, Resulting Numbers: [80, 17, 8]
Generated Node #2: [80, 17, 8] from Operation: 74-66=8
Current State: 27:[80, 17, 8], Operations: ['74-66=8']
Exploring Operation: 80/8=10, Resulting Numbers: [17, 10]
Generated Node #3: [17, 10] from Operation: 80/8=10
Current State: 27:[17, 10], Operations: ['74-66=8', '80/8=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
69,
28,
33,
63
] | 55 | [
"69-28=41",
"33+63=96",
"96-41=55"
] | Current State: 55:[69, 28, 33, 63], Operations: []
Exploring Operation: 69-28=41, Resulting Numbers: [33, 63, 41]
Generated Node #2: [33, 63, 41] from Operation: 69-28=41
Current State: 55:[33, 63, 41], Operations: ['69-28=41']
Exploring Operation: 33+63=96, Resulting Numbers: [41, 96]
Generated Node #3: [41, 96] from Operation: 33+63=96
Current State: 55:[41, 96], Operations: ['69-28=41', '33+63=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
89,
54,
13,
52
] | 78 | [
"89+54=143",
"13+52=65",
"143-65=78"
] | Current State: 78:[89, 54, 13, 52], Operations: []
Exploring Operation: 89+54=143, Resulting Numbers: [13, 52, 143]
Generated Node #2: [13, 52, 143] from Operation: 89+54=143
Current State: 78:[13, 52, 143], Operations: ['89+54=143']
Exploring Operation: 13+52=65, Resulting Numbers: [143, 65]
Generated Node #3: [143, 65] from Operation: 13+52=65
Current State: 78:[143, 65], Operations: ['89+54=143', '13+52=65']
Exploring Operation: 143-65=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
59,
18,
24,
12
] | 50 | [
"18*12=216",
"216/24=9",
"59-9=50"
] | Current State: 50:[59, 18, 24, 12], Operations: []
Exploring Operation: 18*12=216, Resulting Numbers: [59, 24, 216]
Generated Node #2: [59, 24, 216] from Operation: 18*12=216
Current State: 50:[59, 24, 216], Operations: ['18*12=216']
Exploring Operation: 216/24=9, Resulting Numbers: [59, 9]
Generated Node #3: [59, 9] from Operation: 216/24=9
Current State: 50:[59, 9], Operations: ['18*12=216', '216/24=9']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
2,
34,
21,
30
] | 47 | [
"2*30=60",
"34-21=13",
"60-13=47"
] | Current State: 47:[2, 34, 21, 30], Operations: []
Exploring Operation: 2*30=60, Resulting Numbers: [34, 21, 60]
Generated Node #2: [34, 21, 60] from Operation: 2*30=60
Current State: 47:[34, 21, 60], Operations: ['2*30=60']
Exploring Operation: 34-21=13, Resulting Numbers: [60, 13]
Generated Node #3: [60, 13] from Operation: 34-21=13
Current State: 47:[60, 13], Operations: ['2*30=60', '34-21=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
41,
65,
50,
48
] | 89 | [
"50-48=2",
"65*2=130",
"130-41=89"
] | Current State: 89:[41, 65, 50, 48], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [41, 65, 2]
Generated Node #2: [41, 65, 2] from Operation: 50-48=2
Current State: 89:[41, 65, 2], Operations: ['50-48=2']
Exploring Operation: 65*2=130, Resulting Numbers: [41, 130]
Generated Node #3: [41, 130] from Operation: 65*2=130
Current State: 89:[41, 130], Operations: ['50-48=2', '65*2=130']
Exploring Operation: 130-41=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
82,
36,
2,
33
] | 77 | [
"82-36=46",
"33-2=31",
"46+31=77"
] | Current State: 77:[82, 36, 2, 33], Operations: []
Exploring Operation: 82-36=46, Resulting Numbers: [2, 33, 46]
Generated Node #2: [2, 33, 46] from Operation: 82-36=46
Current State: 77:[2, 33, 46], Operations: ['82-36=46']
Exploring Operation: 33-2=31, Resulting Numbers: [46, 31]
Generated Node #3: [46, 31] from Operation: 33-2=31
Current State: 77:[46, 31], Operations: ['82-36=46', '33-2=31']
Exploring Operation: 46+31=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
32,
21,
40,
99
] | 86 | [
"32+21=53",
"40+99=139",
"139-53=86"
] | Current State: 86:[32, 21, 40, 99], Operations: []
Exploring Operation: 32+21=53, Resulting Numbers: [40, 99, 53]
Generated Node #2: [40, 99, 53] from Operation: 32+21=53
Current State: 86:[40, 99, 53], Operations: ['32+21=53']
Exploring Operation: 40+99=139, Resulting Numbers: [53, 139]
Generated Node #3: [53, 139] from Operation: 40+99=139
Current State: 86:[53, 139], Operations: ['32+21=53', '40+99=139']
Exploring Operation: 139-53=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
83,
67,
65,
14
] | 55 | [
"67-65=2",
"14*2=28",
"83-28=55"
] | Current State: 55:[83, 67, 65, 14], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [83, 14, 2]
Generated Node #2: [83, 14, 2] from Operation: 67-65=2
Current State: 55:[83, 14, 2], Operations: ['67-65=2']
Exploring Operation: 14*2=28, Resulting Numbers: [83, 28]
Generated Node #3: [83, 28] from Operation: 14*2=28
Current State: 55:[83, 28], Operations: ['67-65=2', '14*2=28']
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
14,
56,
2,
26
] | 56 | [
"56/14=4",
"2*26=52",
"4+52=56"
] | Current State: 56:[14, 56, 2, 26], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [2, 26, 4]
Generated Node #2: [2, 26, 4] from Operation: 56/14=4
Current State: 56:[2, 26, 4], Operations: ['56/14=4']
Exploring Operation: 2*26=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 2*26=52
Current State: 56:[4, 52], Operations: ['56/14=4', '2*26=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
29,
78,
21,
17
] | 87 | [
"78-29=49",
"21+17=38",
"49+38=87"
] | Current State: 87:[29, 78, 21, 17], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [21, 17, 49]
Generated Node #2: [21, 17, 49] from Operation: 78-29=49
Current State: 87:[21, 17, 49], Operations: ['78-29=49']
Exploring Operation: 21+17=38, Resulting Numbers: [49, 38]
Generated Node #3: [49, 38] from Operation: 21+17=38
Current State: 87:[49, 38], Operations: ['78-29=49', '21+17=38']
Exploring Operation: 49+38=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
40,
20,
5,
51
] | 47 | [
"40-20=20",
"20/5=4",
"51-4=47"
] | Current State: 47:[40, 20, 5, 51], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [5, 51, 20]
Generated Node #2: [5, 51, 20] from Operation: 40-20=20
Current State: 47:[5, 51, 20], Operations: ['40-20=20']
Exploring Operation: 20/5=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 20/5=4
Current State: 47:[51, 4], Operations: ['40-20=20', '20/5=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
50,
74,
54,
77
] | 68 | [
"77-74=3",
"54/3=18",
"50+18=68"
] | Current State: 68:[50, 74, 54, 77], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [50, 54, 3]
Generated Node #2: [50, 54, 3] from Operation: 77-74=3
Current State: 68:[50, 54, 3], Operations: ['77-74=3']
Exploring Operation: 54/3=18, Resulting Numbers: [50, 18]
Generated Node #3: [50, 18] from Operation: 54/3=18
Current State: 68:[50, 18], Operations: ['77-74=3', '54/3=18']
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
33,
48,
32
] | 41 | [
"48/2=24",
"33+32=65",
"65-24=41"
] | Current State: 41:[2, 33, 48, 32], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [33, 32, 24]
Generated Node #2: [33, 32, 24] from Operation: 48/2=24
Current State: 41:[33, 32, 24], Operations: ['48/2=24']
Exploring Operation: 33+32=65, Resulting Numbers: [24, 65]
Generated Node #3: [24, 65] from Operation: 33+32=65
Current State: 41:[24, 65], Operations: ['48/2=24', '33+32=65']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
3,
4,
80,
49
] | 81 | [
"80-4=76",
"76-49=27",
"3*27=81"
] | Current State: 81:[3, 4, 80, 49], Operations: []
Exploring Operation: 80-4=76, Resulting Numbers: [3, 49, 76]
Generated Node #2: [3, 49, 76] from Operation: 80-4=76
Current State: 81:[3, 49, 76], Operations: ['80-4=76']
Exploring Operation: 76-49=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 76-49=27
Current State: 81:[3, 27], Operations: ['80-4=76', '76-49=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
96,
26,
40,
95
] | 13 | [
"96+26=122",
"40+95=135",
"135-122=13"
] | Current State: 13:[96, 26, 40, 95], Operations: []
Exploring Operation: 96+26=122, Resulting Numbers: [40, 95, 122]
Generated Node #2: [40, 95, 122] from Operation: 96+26=122
Current State: 13:[40, 95, 122], Operations: ['96+26=122']
Exploring Operation: 40+95=135, Resulting Numbers: [122, 135]
Generated Node #3: [122, 135] from Operation: 40+95=135
Current State: 13:[122, 135], Operations: ['96+26=122', '40+95=135']
Exploring Operation: 135-122=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
7,
92,
30,
69
] | 33 | [
"92*30=2760",
"2760/69=40",
"40-7=33"
] | Current State: 33:[7, 92, 30, 69], Operations: []
Exploring Operation: 92*30=2760, Resulting Numbers: [7, 69, 2760]
Generated Node #2: [7, 69, 2760] from Operation: 92*30=2760
Current State: 33:[7, 69, 2760], Operations: ['92*30=2760']
Exploring Operation: 2760/69=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 2760/69=40
Current State: 33:[7, 40], Operations: ['92*30=2760', '2760/69=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
95,
15,
48,
9
] | 25 | [
"95*15=1425",
"48+9=57",
"1425/57=25"
] | Current State: 25:[95, 15, 48, 9], Operations: []
Exploring Operation: 95*15=1425, Resulting Numbers: [48, 9, 1425]
Generated Node #2: [48, 9, 1425] from Operation: 95*15=1425
Current State: 25:[48, 9, 1425], Operations: ['95*15=1425']
Exploring Operation: 48+9=57, Resulting Numbers: [1425, 57]
Generated Node #3: [1425, 57] from Operation: 48+9=57
Current State: 25:[1425, 57], Operations: ['95*15=1425', '48+9=57']
Exploring Operation: 1425/57=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
25,
54,
71,
1
] | 42 | [
"54-25=29",
"71*1=71",
"71-29=42"
] | Current State: 42:[25, 54, 71, 1], Operations: []
Exploring Operation: 54-25=29, Resulting Numbers: [71, 1, 29]
Generated Node #2: [71, 1, 29] from Operation: 54-25=29
Current State: 42:[71, 1, 29], Operations: ['54-25=29']
Exploring Operation: 71*1=71, Resulting Numbers: [29, 71]
Generated Node #3: [29, 71] from Operation: 71*1=71
Current State: 42:[29, 71], Operations: ['54-25=29', '71*1=71']
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
53,
5,
78,
80
] | 60 | [
"53+5=58",
"80-78=2",
"58+2=60"
] | Current State: 60:[53, 5, 78, 80], Operations: []
Exploring Operation: 53+5=58, Resulting Numbers: [78, 80, 58]
Generated Node #2: [78, 80, 58] from Operation: 53+5=58
Current State: 60:[78, 80, 58], Operations: ['53+5=58']
Exploring Operation: 80-78=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 80-78=2
Current State: 60:[58, 2], Operations: ['53+5=58', '80-78=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
60,
17,
63,
11
] | 87 | [
"60*17=1020",
"1020-63=957",
"957/11=87"
] | Current State: 87:[60, 17, 63, 11], Operations: []
Exploring Operation: 60*17=1020, Resulting Numbers: [63, 11, 1020]
Generated Node #2: [63, 11, 1020] from Operation: 60*17=1020
Current State: 87:[63, 11, 1020], Operations: ['60*17=1020']
Exploring Operation: 1020-63=957, Resulting Numbers: [11, 957]
Generated Node #3: [11, 957] from Operation: 1020-63=957
Current State: 87:[11, 957], Operations: ['60*17=1020', '1020-63=957']
Exploring Operation: 957/11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
11,
66,
71,
98
] | 50 | [
"11+66=77",
"98-71=27",
"77-27=50"
] | Current State: 50:[11, 66, 71, 98], Operations: []
Exploring Operation: 11+66=77, Resulting Numbers: [71, 98, 77]
Generated Node #2: [71, 98, 77] from Operation: 11+66=77
Current State: 50:[71, 98, 77], Operations: ['11+66=77']
Exploring Operation: 98-71=27, Resulting Numbers: [77, 27]
Generated Node #3: [77, 27] from Operation: 98-71=27
Current State: 50:[77, 27], Operations: ['11+66=77', '98-71=27']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
1,
10,
22,
2
] | 29 | [
"10-1=9",
"22-2=20",
"9+20=29"
] | Current State: 29:[1, 10, 22, 2], Operations: []
Exploring Operation: 10-1=9, Resulting Numbers: [22, 2, 9]
Generated Node #2: [22, 2, 9] from Operation: 10-1=9
Current State: 29:[22, 2, 9], Operations: ['10-1=9']
Exploring Operation: 22-2=20, Resulting Numbers: [9, 20]
Generated Node #3: [9, 20] from Operation: 22-2=20
Current State: 29:[9, 20], Operations: ['10-1=9', '22-2=20']
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
52,
23,
23,
12
] | 41 | [
"52-12=40",
"23/23=1",
"40+1=41"
] | Current State: 41:[52, 23, 23, 12], Operations: []
Exploring Operation: 52-12=40, Resulting Numbers: [23, 23, 40]
Generated Node #2: [23, 23, 40] from Operation: 52-12=40
Current State: 41:[23, 23, 40], Operations: ['52-12=40']
Exploring Operation: 23/23=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 23/23=1
Current State: 41:[40, 1], Operations: ['52-12=40', '23/23=1']
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
26,
53,
33,
18
] | 73 | [
"33-26=7",
"18*7=126",
"126-53=73"
] | Current State: 73:[26, 53, 33, 18], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [53, 18, 7]
Generated Node #2: [53, 18, 7] from Operation: 33-26=7
Current State: 73:[53, 18, 7], Operations: ['33-26=7']
Exploring Operation: 18*7=126, Resulting Numbers: [53, 126]
Generated Node #3: [53, 126] from Operation: 18*7=126
Current State: 73:[53, 126], Operations: ['33-26=7', '18*7=126']
Exploring Operation: 126-53=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
13,
92,
10,
58
] | 11 | [
"92-13=79",
"10+58=68",
"79-68=11"
] | Current State: 11:[13, 92, 10, 58], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [10, 58, 79]
Generated Node #2: [10, 58, 79] from Operation: 92-13=79
Current State: 11:[10, 58, 79], Operations: ['92-13=79']
Exploring Operation: 10+58=68, Resulting Numbers: [79, 68]
Generated Node #3: [79, 68] from Operation: 10+58=68
Current State: 11:[79, 68], Operations: ['92-13=79', '10+58=68']
Exploring Operation: 79-68=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
24,
6,
53,
89
] | 85 | [
"53-24=29",
"6*29=174",
"174-89=85"
] | Current State: 85:[24, 6, 53, 89], Operations: []
Exploring Operation: 53-24=29, Resulting Numbers: [6, 89, 29]
Generated Node #2: [6, 89, 29] from Operation: 53-24=29
Current State: 85:[6, 89, 29], Operations: ['53-24=29']
Exploring Operation: 6*29=174, Resulting Numbers: [89, 174]
Generated Node #3: [89, 174] from Operation: 6*29=174
Current State: 85:[89, 174], Operations: ['53-24=29', '6*29=174']
Exploring Operation: 174-89=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
98,
58,
96,
4
] | 63 | [
"98+58=156",
"96+156=252",
"252/4=63"
] | Current State: 63:[98, 58, 96, 4], Operations: []
Exploring Operation: 98+58=156, Resulting Numbers: [96, 4, 156]
Generated Node #2: [96, 4, 156] from Operation: 98+58=156
Current State: 63:[96, 4, 156], Operations: ['98+58=156']
Exploring Operation: 96+156=252, Resulting Numbers: [4, 252]
Generated Node #3: [4, 252] from Operation: 96+156=252
Current State: 63:[4, 252], Operations: ['98+58=156', '96+156=252']
Exploring Operation: 252/4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
79,
4,
20,
9
] | 54 | [
"79+4=83",
"20+9=29",
"83-29=54"
] | Current State: 54:[79, 4, 20, 9], Operations: []
Exploring Operation: 79+4=83, Resulting Numbers: [20, 9, 83]
Generated Node #2: [20, 9, 83] from Operation: 79+4=83
Current State: 54:[20, 9, 83], Operations: ['79+4=83']
Exploring Operation: 20+9=29, Resulting Numbers: [83, 29]
Generated Node #3: [83, 29] from Operation: 20+9=29
Current State: 54:[83, 29], Operations: ['79+4=83', '20+9=29']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
5,
94,
98,
91
] | 49 | [
"94-5=89",
"91-89=2",
"98/2=49"
] | Current State: 49:[5, 94, 98, 91], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [98, 91, 89]
Generated Node #2: [98, 91, 89] from Operation: 94-5=89
Current State: 49:[98, 91, 89], Operations: ['94-5=89']
Exploring Operation: 91-89=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 91-89=2
Current State: 49:[98, 2], Operations: ['94-5=89', '91-89=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
93,
8,
46,
14
] | 65 | [
"93-46=47",
"8*14=112",
"112-47=65"
] | Current State: 65:[93, 8, 46, 14], Operations: []
Exploring Operation: 93-46=47, Resulting Numbers: [8, 14, 47]
Generated Node #2: [8, 14, 47] from Operation: 93-46=47
Current State: 65:[8, 14, 47], Operations: ['93-46=47']
Exploring Operation: 8*14=112, Resulting Numbers: [47, 112]
Generated Node #3: [47, 112] from Operation: 8*14=112
Current State: 65:[47, 112], Operations: ['93-46=47', '8*14=112']
Exploring Operation: 112-47=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
16,
17,
77,
42
] | 98 | [
"16+17=33",
"77*42=3234",
"3234/33=98"
] | Current State: 98:[16, 17, 77, 42], Operations: []
Exploring Operation: 16+17=33, Resulting Numbers: [77, 42, 33]
Generated Node #2: [77, 42, 33] from Operation: 16+17=33
Current State: 98:[77, 42, 33], Operations: ['16+17=33']
Exploring Operation: 77*42=3234, Resulting Numbers: [33, 3234]
Generated Node #3: [33, 3234] from Operation: 77*42=3234
Current State: 98:[33, 3234], Operations: ['16+17=33', '77*42=3234']
Exploring Operation: 3234/33=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
1,
30,
37,
83
] | 17 | [
"30-1=29",
"83-37=46",
"46-29=17"
] | Current State: 17:[1, 30, 37, 83], Operations: []
Exploring Operation: 30-1=29, Resulting Numbers: [37, 83, 29]
Generated Node #2: [37, 83, 29] from Operation: 30-1=29
Current State: 17:[37, 83, 29], Operations: ['30-1=29']
Exploring Operation: 83-37=46, Resulting Numbers: [29, 46]
Generated Node #3: [29, 46] from Operation: 83-37=46
Current State: 17:[29, 46], Operations: ['30-1=29', '83-37=46']
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
92,
64,
60,
40
] | 17 | [
"64-60=4",
"92/4=23",
"40-23=17"
] | Current State: 17:[92, 64, 60, 40], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [92, 40, 4]
Generated Node #2: [92, 40, 4] from Operation: 64-60=4
Current State: 17:[92, 40, 4], Operations: ['64-60=4']
Exploring Operation: 92/4=23, Resulting Numbers: [40, 23]
Generated Node #3: [40, 23] from Operation: 92/4=23
Current State: 17:[40, 23], Operations: ['64-60=4', '92/4=23']
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
57,
47,
68,
45
] | 79 | [
"47-45=2",
"68*2=136",
"136-57=79"
] | Current State: 79:[57, 47, 68, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [57, 68, 2]
Generated Node #2: [57, 68, 2] from Operation: 47-45=2
Current State: 79:[57, 68, 2], Operations: ['47-45=2']
Exploring Operation: 68*2=136, Resulting Numbers: [57, 136]
Generated Node #3: [57, 136] from Operation: 68*2=136
Current State: 79:[57, 136], Operations: ['47-45=2', '68*2=136']
Exploring Operation: 136-57=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
26,
1,
75,
13
] | 76 | [
"26/13=2",
"75-1=74",
"2+74=76"
] | Current State: 76:[26, 1, 75, 13], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [1, 75, 2]
Generated Node #2: [1, 75, 2] from Operation: 26/13=2
Current State: 76:[1, 75, 2], Operations: ['26/13=2']
Exploring Operation: 75-1=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 75-1=74
Current State: 76:[2, 74], Operations: ['26/13=2', '75-1=74']
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
3,
35,
5,
93
] | 25 | [
"35-3=32",
"93+32=125",
"125/5=25"
] | Current State: 25:[3, 35, 5, 93], Operations: []
Exploring Operation: 35-3=32, Resulting Numbers: [5, 93, 32]
Generated Node #2: [5, 93, 32] from Operation: 35-3=32
Current State: 25:[5, 93, 32], Operations: ['35-3=32']
Exploring Operation: 93+32=125, Resulting Numbers: [5, 125]
Generated Node #3: [5, 125] from Operation: 93+32=125
Current State: 25:[5, 125], Operations: ['35-3=32', '93+32=125']
Exploring Operation: 125/5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
14,
58,
52,
51
] | 59 | [
"58-14=44",
"52+51=103",
"103-44=59"
] | Current State: 59:[14, 58, 52, 51], Operations: []
Exploring Operation: 58-14=44, Resulting Numbers: [52, 51, 44]
Generated Node #2: [52, 51, 44] from Operation: 58-14=44
Current State: 59:[52, 51, 44], Operations: ['58-14=44']
Exploring Operation: 52+51=103, Resulting Numbers: [44, 103]
Generated Node #3: [44, 103] from Operation: 52+51=103
Current State: 59:[44, 103], Operations: ['58-14=44', '52+51=103']
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
15,
69,
33,
66
] | 42 | [
"15+69=84",
"66/33=2",
"84/2=42"
] | Current State: 42:[15, 69, 33, 66], Operations: []
Exploring Operation: 15+69=84, Resulting Numbers: [33, 66, 84]
Generated Node #2: [33, 66, 84] from Operation: 15+69=84
Current State: 42:[33, 66, 84], Operations: ['15+69=84']
Exploring Operation: 66/33=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 66/33=2
Current State: 42:[84, 2], Operations: ['15+69=84', '66/33=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
2,
6,
35,
26
] | 30 | [
"6+35=41",
"41-26=15",
"2*15=30"
] | Current State: 30:[2, 6, 35, 26], Operations: []
Exploring Operation: 6+35=41, Resulting Numbers: [2, 26, 41]
Generated Node #2: [2, 26, 41] from Operation: 6+35=41
Current State: 30:[2, 26, 41], Operations: ['6+35=41']
Exploring Operation: 41-26=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 41-26=15
Current State: 30:[2, 15], Operations: ['6+35=41', '41-26=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
12,
3,
51,
87
] | 82 | [
"12+87=99",
"51/3=17",
"99-17=82"
] | Current State: 82:[12, 3, 51, 87], Operations: []
Exploring Operation: 12+87=99, Resulting Numbers: [3, 51, 99]
Generated Node #2: [3, 51, 99] from Operation: 12+87=99
Current State: 82:[3, 51, 99], Operations: ['12+87=99']
Exploring Operation: 51/3=17, Resulting Numbers: [99, 17]
Generated Node #3: [99, 17] from Operation: 51/3=17
Current State: 82:[99, 17], Operations: ['12+87=99', '51/3=17']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
22,
84,
19,
45
] | 88 | [
"84-22=62",
"45-19=26",
"62+26=88"
] | Current State: 88:[22, 84, 19, 45], Operations: []
Exploring Operation: 84-22=62, Resulting Numbers: [19, 45, 62]
Generated Node #2: [19, 45, 62] from Operation: 84-22=62
Current State: 88:[19, 45, 62], Operations: ['84-22=62']
Exploring Operation: 45-19=26, Resulting Numbers: [62, 26]
Generated Node #3: [62, 26] from Operation: 45-19=26
Current State: 88:[62, 26], Operations: ['84-22=62', '45-19=26']
Exploring Operation: 62+26=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
6,
25,
23,
38
] | 13 | [
"25-23=2",
"38/2=19",
"19-6=13"
] | Current State: 13:[6, 25, 23, 38], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [6, 38, 2]
Generated Node #2: [6, 38, 2] from Operation: 25-23=2
Current State: 13:[6, 38, 2], Operations: ['25-23=2']
Exploring Operation: 38/2=19, Resulting Numbers: [6, 19]
Generated Node #3: [6, 19] from Operation: 38/2=19
Current State: 13:[6, 19], Operations: ['25-23=2', '38/2=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
42,
1,
44,
60
] | 26 | [
"42*1=42",
"60-44=16",
"42-16=26"
] | Current State: 26:[42, 1, 44, 60], Operations: []
Exploring Operation: 42*1=42, Resulting Numbers: [44, 60, 42]
Generated Node #2: [44, 60, 42] from Operation: 42*1=42
Current State: 26:[44, 60, 42], Operations: ['42*1=42']
Exploring Operation: 60-44=16, Resulting Numbers: [42, 16]
Generated Node #3: [42, 16] from Operation: 60-44=16
Current State: 26:[42, 16], Operations: ['42*1=42', '60-44=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
33,
59,
12,
33
] | 72 | [
"33/33=1",
"59+12=71",
"1+71=72"
] | Current State: 72:[33, 59, 12, 33], Operations: []
Exploring Operation: 33/33=1, Resulting Numbers: [59, 12, 1]
Generated Node #2: [59, 12, 1] from Operation: 33/33=1
Current State: 72:[59, 12, 1], Operations: ['33/33=1']
Exploring Operation: 59+12=71, Resulting Numbers: [1, 71]
Generated Node #3: [1, 71] from Operation: 59+12=71
Current State: 72:[1, 71], Operations: ['33/33=1', '59+12=71']
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
61,
31,
2
] | 29 | [
"2/2=1",
"61-31=30",
"30-1=29"
] | Current State: 29:[2, 61, 31, 2], Operations: []
Exploring Operation: 2/2=1, Resulting Numbers: [61, 31, 1]
Generated Node #2: [61, 31, 1] from Operation: 2/2=1
Current State: 29:[61, 31, 1], Operations: ['2/2=1']
Exploring Operation: 61-31=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 61-31=30
Current State: 29:[1, 30], Operations: ['2/2=1', '61-31=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
84,
4,
64,
58
] | 74 | [
"84-4=80",
"64-58=6",
"80-6=74"
] | Current State: 74:[84, 4, 64, 58], Operations: []
Exploring Operation: 84-4=80, Resulting Numbers: [64, 58, 80]
Generated Node #2: [64, 58, 80] from Operation: 84-4=80
Current State: 74:[64, 58, 80], Operations: ['84-4=80']
Exploring Operation: 64-58=6, Resulting Numbers: [80, 6]
Generated Node #3: [80, 6] from Operation: 64-58=6
Current State: 74:[80, 6], Operations: ['84-4=80', '64-58=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
53,
33,
32,
22
] | 34 | [
"53-33=20",
"32+22=54",
"54-20=34"
] | Current State: 34:[53, 33, 32, 22], Operations: []
Exploring Operation: 53-33=20, Resulting Numbers: [32, 22, 20]
Generated Node #2: [32, 22, 20] from Operation: 53-33=20
Current State: 34:[32, 22, 20], Operations: ['53-33=20']
Exploring Operation: 32+22=54, Resulting Numbers: [20, 54]
Generated Node #3: [20, 54] from Operation: 32+22=54
Current State: 34:[20, 54], Operations: ['53-33=20', '32+22=54']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
5,
61,
59,
26
] | 99 | [
"5+61=66",
"59-26=33",
"66+33=99"
] | Current State: 99:[5, 61, 59, 26], Operations: []
Exploring Operation: 5+61=66, Resulting Numbers: [59, 26, 66]
Generated Node #2: [59, 26, 66] from Operation: 5+61=66
Current State: 99:[59, 26, 66], Operations: ['5+61=66']
Exploring Operation: 59-26=33, Resulting Numbers: [66, 33]
Generated Node #3: [66, 33] from Operation: 59-26=33
Current State: 99:[66, 33], Operations: ['5+61=66', '59-26=33']
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
34,
2,
49,
80
] | 26 | [
"80-34=46",
"46/2=23",
"49-23=26"
] | Current State: 26:[34, 2, 49, 80], Operations: []
Exploring Operation: 80-34=46, Resulting Numbers: [2, 49, 46]
Generated Node #2: [2, 49, 46] from Operation: 80-34=46
Current State: 26:[2, 49, 46], Operations: ['80-34=46']
Exploring Operation: 46/2=23, Resulting Numbers: [49, 23]
Generated Node #3: [49, 23] from Operation: 46/2=23
Current State: 26:[49, 23], Operations: ['80-34=46', '46/2=23']
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
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