nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
95,
80,
18,
82
] | 49 | [
"95-80=15",
"82-18=64",
"64-15=49"
] | Current State: 49:[95, 80, 18, 82], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [18, 82, 15]
Generated Node #2: [18, 82, 15] from Operation: 95-80=15
Current State: 49:[18, 82, 15], Operations: ['95-80=15']
Exploring Operation: 82-18=64, Resulting Numbers: [15, 64]
Generated Node #3: [15, 64] from Operation: 82-18=64
Current State: 49:[15, 64], Operations: ['95-80=15', '82-18=64']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
88,
34,
94,
75
] | 35 | [
"88-34=54",
"94-75=19",
"54-19=35"
] | Current State: 35:[88, 34, 94, 75], Operations: []
Exploring Operation: 88-34=54, Resulting Numbers: [94, 75, 54]
Generated Node #2: [94, 75, 54] from Operation: 88-34=54
Current State: 35:[94, 75, 54], Operations: ['88-34=54']
Exploring Operation: 94-75=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 94-75=19
Current State: 35:[54, 19], Operations: ['88-34=54', '94-75=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
39,
33,
74,
61
] | 99 | [
"39*33=1287",
"74-61=13",
"1287/13=99"
] | Current State: 99:[39, 33, 74, 61], Operations: []
Exploring Operation: 39*33=1287, Resulting Numbers: [74, 61, 1287]
Generated Node #2: [74, 61, 1287] from Operation: 39*33=1287
Current State: 99:[74, 61, 1287], Operations: ['39*33=1287']
Exploring Operation: 74-61=13, Resulting Numbers: [1287, 13]
Generated Node #3: [1287, 13] from Operation: 74-61=13
Current State: 99:[1287, 13], Operations: ['39*33=1287', '74-61=13']
Exploring Operation: 1287/13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
98,
97,
20,
75
] | 49 | [
"97-20=77",
"77-75=2",
"98/2=49"
] | Current State: 49:[98, 97, 20, 75], Operations: []
Exploring Operation: 97-20=77, Resulting Numbers: [98, 75, 77]
Generated Node #2: [98, 75, 77] from Operation: 97-20=77
Current State: 49:[98, 75, 77], Operations: ['97-20=77']
Exploring Operation: 77-75=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 77-75=2
Current State: 49:[98, 2], Operations: ['97-20=77', '77-75=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
23,
96,
7,
59
] | 11 | [
"96*7=672",
"672-23=649",
"649/59=11"
] | Current State: 11:[23, 96, 7, 59], Operations: []
Exploring Operation: 96*7=672, Resulting Numbers: [23, 59, 672]
Generated Node #2: [23, 59, 672] from Operation: 96*7=672
Current State: 11:[23, 59, 672], Operations: ['96*7=672']
Exploring Operation: 672-23=649, Resulting Numbers: [59, 649]
Generated Node #3: [59, 649] from Operation: 672-23=649
Current State: 11:[59, 649], Operations: ['96*7=672', '672-23=649']
Exploring Operation: 649/59=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
71,
79,
2,
39
] | 48 | [
"71+39=110",
"79*2=158",
"158-110=48"
] | Current State: 48:[71, 79, 2, 39], Operations: []
Exploring Operation: 71+39=110, Resulting Numbers: [79, 2, 110]
Generated Node #2: [79, 2, 110] from Operation: 71+39=110
Current State: 48:[79, 2, 110], Operations: ['71+39=110']
Exploring Operation: 79*2=158, Resulting Numbers: [110, 158]
Generated Node #3: [110, 158] from Operation: 79*2=158
Current State: 48:[110, 158], Operations: ['71+39=110', '79*2=158']
Exploring Operation: 158-110=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
5,
77,
60,
44
] | 100 | [
"77*60=4620",
"4620/44=105",
"105-5=100"
] | Current State: 100:[5, 77, 60, 44], Operations: []
Exploring Operation: 77*60=4620, Resulting Numbers: [5, 44, 4620]
Generated Node #2: [5, 44, 4620] from Operation: 77*60=4620
Current State: 100:[5, 44, 4620], Operations: ['77*60=4620']
Exploring Operation: 4620/44=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 4620/44=105
Current State: 100:[5, 105], Operations: ['77*60=4620', '4620/44=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
87,
89,
57,
47
] | 52 | [
"89-87=2",
"57+47=104",
"104/2=52"
] | Current State: 52:[87, 89, 57, 47], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [57, 47, 2]
Generated Node #2: [57, 47, 2] from Operation: 89-87=2
Current State: 52:[57, 47, 2], Operations: ['89-87=2']
Exploring Operation: 57+47=104, Resulting Numbers: [2, 104]
Generated Node #3: [2, 104] from Operation: 57+47=104
Current State: 52:[2, 104], Operations: ['89-87=2', '57+47=104']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
26,
38,
66,
31
] | 62 | [
"26+38=64",
"66-64=2",
"31*2=62"
] | Current State: 62:[26, 38, 66, 31], Operations: []
Exploring Operation: 26+38=64, Resulting Numbers: [66, 31, 64]
Generated Node #2: [66, 31, 64] from Operation: 26+38=64
Current State: 62:[66, 31, 64], Operations: ['26+38=64']
Exploring Operation: 66-64=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 66-64=2
Current State: 62:[31, 2], Operations: ['26+38=64', '66-64=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
76,
14,
8,
90
] | 37 | [
"76*8=608",
"608-90=518",
"518/14=37"
] | Current State: 37:[76, 14, 8, 90], Operations: []
Exploring Operation: 76*8=608, Resulting Numbers: [14, 90, 608]
Generated Node #2: [14, 90, 608] from Operation: 76*8=608
Current State: 37:[14, 90, 608], Operations: ['76*8=608']
Exploring Operation: 608-90=518, Resulting Numbers: [14, 518]
Generated Node #3: [14, 518] from Operation: 608-90=518
Current State: 37:[14, 518], Operations: ['76*8=608', '608-90=518']
Exploring Operation: 518/14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
77,
77,
31,
91
] | 31 | [
"77-77=0",
"91*0=0",
"31+0=31"
] | Current State: 31:[77, 77, 31, 91], Operations: []
Exploring Operation: 77-77=0, Resulting Numbers: [31, 91, 0]
Generated Node #2: [31, 91, 0] from Operation: 77-77=0
Current State: 31:[31, 91, 0], Operations: ['77-77=0']
Exploring Operation: 91*0=0, Resulting Numbers: [31, 0]
Generated Node #3: [31, 0] from Operation: 91*0=0
Current State: 31:[31, 0], Operations: ['77-77=0', '91*0=0']
Exploring Operation: 31+0=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
21,
18,
52,
27
] | 72 | [
"52-21=31",
"31-27=4",
"18*4=72"
] | Current State: 72:[21, 18, 52, 27], Operations: []
Exploring Operation: 52-21=31, Resulting Numbers: [18, 27, 31]
Generated Node #2: [18, 27, 31] from Operation: 52-21=31
Current State: 72:[18, 27, 31], Operations: ['52-21=31']
Exploring Operation: 31-27=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 31-27=4
Current State: 72:[18, 4], Operations: ['52-21=31', '31-27=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
8,
92,
94,
3
] | 54 | [
"92+94=186",
"186/3=62",
"62-8=54"
] | Current State: 54:[8, 92, 94, 3], Operations: []
Exploring Operation: 92+94=186, Resulting Numbers: [8, 3, 186]
Generated Node #2: [8, 3, 186] from Operation: 92+94=186
Current State: 54:[8, 3, 186], Operations: ['92+94=186']
Exploring Operation: 186/3=62, Resulting Numbers: [8, 62]
Generated Node #3: [8, 62] from Operation: 186/3=62
Current State: 54:[8, 62], Operations: ['92+94=186', '186/3=62']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
4,
18,
54,
92
] | 93 | [
"4+92=96",
"54/18=3",
"96-3=93"
] | Current State: 93:[4, 18, 54, 92], Operations: []
Exploring Operation: 4+92=96, Resulting Numbers: [18, 54, 96]
Generated Node #2: [18, 54, 96] from Operation: 4+92=96
Current State: 93:[18, 54, 96], Operations: ['4+92=96']
Exploring Operation: 54/18=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 54/18=3
Current State: 93:[96, 3], Operations: ['4+92=96', '54/18=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
18,
25,
55,
9
] | 60 | [
"18/9=2",
"55-25=30",
"2*30=60"
] | Current State: 60:[18, 25, 55, 9], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [25, 55, 2]
Generated Node #2: [25, 55, 2] from Operation: 18/9=2
Current State: 60:[25, 55, 2], Operations: ['18/9=2']
Exploring Operation: 55-25=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 55-25=30
Current State: 60:[2, 30], Operations: ['18/9=2', '55-25=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
83,
48,
68,
52
] | 80 | [
"68-52=16",
"48/16=3",
"83-3=80"
] | Current State: 80:[83, 48, 68, 52], Operations: []
Exploring Operation: 68-52=16, Resulting Numbers: [83, 48, 16]
Generated Node #2: [83, 48, 16] from Operation: 68-52=16
Current State: 80:[83, 48, 16], Operations: ['68-52=16']
Exploring Operation: 48/16=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 48/16=3
Current State: 80:[83, 3], Operations: ['68-52=16', '48/16=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
47,
79,
53,
84
] | 95 | [
"47+79=126",
"84-53=31",
"126-31=95"
] | Current State: 95:[47, 79, 53, 84], Operations: []
Exploring Operation: 47+79=126, Resulting Numbers: [53, 84, 126]
Generated Node #2: [53, 84, 126] from Operation: 47+79=126
Current State: 95:[53, 84, 126], Operations: ['47+79=126']
Exploring Operation: 84-53=31, Resulting Numbers: [126, 31]
Generated Node #3: [126, 31] from Operation: 84-53=31
Current State: 95:[126, 31], Operations: ['47+79=126', '84-53=31']
Exploring Operation: 126-31=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
46,
2,
36,
5
] | 59 | [
"46-5=41",
"36/2=18",
"41+18=59"
] | Current State: 59:[46, 2, 36, 5], Operations: []
Exploring Operation: 46-5=41, Resulting Numbers: [2, 36, 41]
Generated Node #2: [2, 36, 41] from Operation: 46-5=41
Current State: 59:[2, 36, 41], Operations: ['46-5=41']
Exploring Operation: 36/2=18, Resulting Numbers: [41, 18]
Generated Node #3: [41, 18] from Operation: 36/2=18
Current State: 59:[41, 18], Operations: ['46-5=41', '36/2=18']
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
50,
77,
10,
43
] | 21 | [
"50-43=7",
"77/7=11",
"10+11=21"
] | Current State: 21:[50, 77, 10, 43], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [77, 10, 7]
Generated Node #2: [77, 10, 7] from Operation: 50-43=7
Current State: 21:[77, 10, 7], Operations: ['50-43=7']
Exploring Operation: 77/7=11, Resulting Numbers: [10, 11]
Generated Node #3: [10, 11] from Operation: 77/7=11
Current State: 21:[10, 11], Operations: ['50-43=7', '77/7=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
3,
23,
59,
16
] | 80 | [
"23-16=7",
"3*7=21",
"59+21=80"
] | Current State: 80:[3, 23, 59, 16], Operations: []
Exploring Operation: 23-16=7, Resulting Numbers: [3, 59, 7]
Generated Node #2: [3, 59, 7] from Operation: 23-16=7
Current State: 80:[3, 59, 7], Operations: ['23-16=7']
Exploring Operation: 3*7=21, Resulting Numbers: [59, 21]
Generated Node #3: [59, 21] from Operation: 3*7=21
Current State: 80:[59, 21], Operations: ['23-16=7', '3*7=21']
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
33,
2,
66,
51
] | 75 | [
"33+66=99",
"51+99=150",
"150/2=75"
] | Current State: 75:[33, 2, 66, 51], Operations: []
Exploring Operation: 33+66=99, Resulting Numbers: [2, 51, 99]
Generated Node #2: [2, 51, 99] from Operation: 33+66=99
Current State: 75:[2, 51, 99], Operations: ['33+66=99']
Exploring Operation: 51+99=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 51+99=150
Current State: 75:[2, 150], Operations: ['33+66=99', '51+99=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
82,
13,
3,
22
] | 65 | [
"82+22=104",
"13*3=39",
"104-39=65"
] | Current State: 65:[82, 13, 3, 22], Operations: []
Exploring Operation: 82+22=104, Resulting Numbers: [13, 3, 104]
Generated Node #2: [13, 3, 104] from Operation: 82+22=104
Current State: 65:[13, 3, 104], Operations: ['82+22=104']
Exploring Operation: 13*3=39, Resulting Numbers: [104, 39]
Generated Node #3: [104, 39] from Operation: 13*3=39
Current State: 65:[104, 39], Operations: ['82+22=104', '13*3=39']
Exploring Operation: 104-39=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
92,
29,
61,
39
] | 41 | [
"92-29=63",
"61-39=22",
"63-22=41"
] | Current State: 41:[92, 29, 61, 39], Operations: []
Exploring Operation: 92-29=63, Resulting Numbers: [61, 39, 63]
Generated Node #2: [61, 39, 63] from Operation: 92-29=63
Current State: 41:[61, 39, 63], Operations: ['92-29=63']
Exploring Operation: 61-39=22, Resulting Numbers: [63, 22]
Generated Node #3: [63, 22] from Operation: 61-39=22
Current State: 41:[63, 22], Operations: ['92-29=63', '61-39=22']
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
71,
77,
8,
89
] | 25 | [
"89-77=12",
"8*12=96",
"96-71=25"
] | Current State: 25:[71, 77, 8, 89], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [71, 8, 12]
Generated Node #2: [71, 8, 12] from Operation: 89-77=12
Current State: 25:[71, 8, 12], Operations: ['89-77=12']
Exploring Operation: 8*12=96, Resulting Numbers: [71, 96]
Generated Node #3: [71, 96] from Operation: 8*12=96
Current State: 25:[71, 96], Operations: ['89-77=12', '8*12=96']
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
21,
46,
25,
76
] | 34 | [
"21+46=67",
"25+76=101",
"101-67=34"
] | Current State: 34:[21, 46, 25, 76], Operations: []
Exploring Operation: 21+46=67, Resulting Numbers: [25, 76, 67]
Generated Node #2: [25, 76, 67] from Operation: 21+46=67
Current State: 34:[25, 76, 67], Operations: ['21+46=67']
Exploring Operation: 25+76=101, Resulting Numbers: [67, 101]
Generated Node #3: [67, 101] from Operation: 25+76=101
Current State: 34:[67, 101], Operations: ['21+46=67', '25+76=101']
Exploring Operation: 101-67=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
21,
20,
1,
7
] | 23 | [
"21*1=21",
"21/7=3",
"20+3=23"
] | Current State: 23:[21, 20, 1, 7], Operations: []
Exploring Operation: 21*1=21, Resulting Numbers: [20, 7, 21]
Generated Node #2: [20, 7, 21] from Operation: 21*1=21
Current State: 23:[20, 7, 21], Operations: ['21*1=21']
Exploring Operation: 21/7=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 21/7=3
Current State: 23:[20, 3], Operations: ['21*1=21', '21/7=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
1,
5,
4,
23
] | 68 | [
"1+5=6",
"23-6=17",
"4*17=68"
] | Current State: 68:[1, 5, 4, 23], Operations: []
Exploring Operation: 1+5=6, Resulting Numbers: [4, 23, 6]
Generated Node #2: [4, 23, 6] from Operation: 1+5=6
Current State: 68:[4, 23, 6], Operations: ['1+5=6']
Exploring Operation: 23-6=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 23-6=17
Current State: 68:[4, 17], Operations: ['1+5=6', '23-6=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
79,
52,
92,
91
] | 27 | [
"79-52=27",
"92-91=1",
"27*1=27"
] | Current State: 27:[79, 52, 92, 91], Operations: []
Exploring Operation: 79-52=27, Resulting Numbers: [92, 91, 27]
Generated Node #2: [92, 91, 27] from Operation: 79-52=27
Current State: 27:[92, 91, 27], Operations: ['79-52=27']
Exploring Operation: 92-91=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 92-91=1
Current State: 27:[27, 1], Operations: ['79-52=27', '92-91=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
34,
84,
4,
82
] | 42 | [
"84-82=2",
"4*2=8",
"34+8=42"
] | Current State: 42:[34, 84, 4, 82], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [34, 4, 2]
Generated Node #2: [34, 4, 2] from Operation: 84-82=2
Current State: 42:[34, 4, 2], Operations: ['84-82=2']
Exploring Operation: 4*2=8, Resulting Numbers: [34, 8]
Generated Node #3: [34, 8] from Operation: 4*2=8
Current State: 42:[34, 8], Operations: ['84-82=2', '4*2=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
9,
35,
4,
33
] | 83 | [
"9*33=297",
"35+297=332",
"332/4=83"
] | Current State: 83:[9, 35, 4, 33], Operations: []
Exploring Operation: 9*33=297, Resulting Numbers: [35, 4, 297]
Generated Node #2: [35, 4, 297] from Operation: 9*33=297
Current State: 83:[35, 4, 297], Operations: ['9*33=297']
Exploring Operation: 35+297=332, Resulting Numbers: [4, 332]
Generated Node #3: [4, 332] from Operation: 35+297=332
Current State: 83:[4, 332], Operations: ['9*33=297', '35+297=332']
Exploring Operation: 332/4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
12,
60,
84,
21
] | 19 | [
"84-60=24",
"24/12=2",
"21-2=19"
] | Current State: 19:[12, 60, 84, 21], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [12, 21, 24]
Generated Node #2: [12, 21, 24] from Operation: 84-60=24
Current State: 19:[12, 21, 24], Operations: ['84-60=24']
Exploring Operation: 24/12=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 24/12=2
Current State: 19:[21, 2], Operations: ['84-60=24', '24/12=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
84,
53,
16,
42
] | 39 | [
"84/42=2",
"53-16=37",
"2+37=39"
] | Current State: 39:[84, 53, 16, 42], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [53, 16, 2]
Generated Node #2: [53, 16, 2] from Operation: 84/42=2
Current State: 39:[53, 16, 2], Operations: ['84/42=2']
Exploring Operation: 53-16=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 53-16=37
Current State: 39:[2, 37], Operations: ['84/42=2', '53-16=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
4,
16,
12,
56
] | 20 | [
"4*16=64",
"56-12=44",
"64-44=20"
] | Current State: 20:[4, 16, 12, 56], Operations: []
Exploring Operation: 4*16=64, Resulting Numbers: [12, 56, 64]
Generated Node #2: [12, 56, 64] from Operation: 4*16=64
Current State: 20:[12, 56, 64], Operations: ['4*16=64']
Exploring Operation: 56-12=44, Resulting Numbers: [64, 44]
Generated Node #3: [64, 44] from Operation: 56-12=44
Current State: 20:[64, 44], Operations: ['4*16=64', '56-12=44']
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
78,
24,
26,
53
] | 23 | [
"78+24=102",
"26+53=79",
"102-79=23"
] | Current State: 23:[78, 24, 26, 53], Operations: []
Exploring Operation: 78+24=102, Resulting Numbers: [26, 53, 102]
Generated Node #2: [26, 53, 102] from Operation: 78+24=102
Current State: 23:[26, 53, 102], Operations: ['78+24=102']
Exploring Operation: 26+53=79, Resulting Numbers: [102, 79]
Generated Node #3: [102, 79] from Operation: 26+53=79
Current State: 23:[102, 79], Operations: ['78+24=102', '26+53=79']
Exploring Operation: 102-79=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
75,
69,
4,
46
] | 40 | [
"75+69=144",
"4*46=184",
"184-144=40"
] | Current State: 40:[75, 69, 4, 46], Operations: []
Exploring Operation: 75+69=144, Resulting Numbers: [4, 46, 144]
Generated Node #2: [4, 46, 144] from Operation: 75+69=144
Current State: 40:[4, 46, 144], Operations: ['75+69=144']
Exploring Operation: 4*46=184, Resulting Numbers: [144, 184]
Generated Node #3: [144, 184] from Operation: 4*46=184
Current State: 40:[144, 184], Operations: ['75+69=144', '4*46=184']
Exploring Operation: 184-144=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
46,
35,
11,
44
] | 57 | [
"46-44=2",
"11*2=22",
"35+22=57"
] | Current State: 57:[46, 35, 11, 44], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [35, 11, 2]
Generated Node #2: [35, 11, 2] from Operation: 46-44=2
Current State: 57:[35, 11, 2], Operations: ['46-44=2']
Exploring Operation: 11*2=22, Resulting Numbers: [35, 22]
Generated Node #3: [35, 22] from Operation: 11*2=22
Current State: 57:[35, 22], Operations: ['46-44=2', '11*2=22']
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
18,
31,
30,
16
] | 93 | [
"18+30=48",
"31*48=1488",
"1488/16=93"
] | Current State: 93:[18, 31, 30, 16], Operations: []
Exploring Operation: 18+30=48, Resulting Numbers: [31, 16, 48]
Generated Node #2: [31, 16, 48] from Operation: 18+30=48
Current State: 93:[31, 16, 48], Operations: ['18+30=48']
Exploring Operation: 31*48=1488, Resulting Numbers: [16, 1488]
Generated Node #3: [16, 1488] from Operation: 31*48=1488
Current State: 93:[16, 1488], Operations: ['18+30=48', '31*48=1488']
Exploring Operation: 1488/16=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
52,
43,
80,
89
] | 74 | [
"52+43=95",
"80+89=169",
"169-95=74"
] | Current State: 74:[52, 43, 80, 89], Operations: []
Exploring Operation: 52+43=95, Resulting Numbers: [80, 89, 95]
Generated Node #2: [80, 89, 95] from Operation: 52+43=95
Current State: 74:[80, 89, 95], Operations: ['52+43=95']
Exploring Operation: 80+89=169, Resulting Numbers: [95, 169]
Generated Node #3: [95, 169] from Operation: 80+89=169
Current State: 74:[95, 169], Operations: ['52+43=95', '80+89=169']
Exploring Operation: 169-95=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
89,
55,
60,
41
] | 53 | [
"89-55=34",
"60-41=19",
"34+19=53"
] | Current State: 53:[89, 55, 60, 41], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [60, 41, 34]
Generated Node #2: [60, 41, 34] from Operation: 89-55=34
Current State: 53:[60, 41, 34], Operations: ['89-55=34']
Exploring Operation: 60-41=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 60-41=19
Current State: 53:[34, 19], Operations: ['89-55=34', '60-41=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
73,
25,
35,
28
] | 60 | [
"73-25=48",
"35*48=1680",
"1680/28=60"
] | Current State: 60:[73, 25, 35, 28], Operations: []
Exploring Operation: 73-25=48, Resulting Numbers: [35, 28, 48]
Generated Node #2: [35, 28, 48] from Operation: 73-25=48
Current State: 60:[35, 28, 48], Operations: ['73-25=48']
Exploring Operation: 35*48=1680, Resulting Numbers: [28, 1680]
Generated Node #3: [28, 1680] from Operation: 35*48=1680
Current State: 60:[28, 1680], Operations: ['73-25=48', '35*48=1680']
Exploring Operation: 1680/28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
16,
65,
4,
90
] | 90 | [
"16*4=64",
"65-64=1",
"90*1=90"
] | Current State: 90:[16, 65, 4, 90], Operations: []
Exploring Operation: 16*4=64, Resulting Numbers: [65, 90, 64]
Generated Node #2: [65, 90, 64] from Operation: 16*4=64
Current State: 90:[65, 90, 64], Operations: ['16*4=64']
Exploring Operation: 65-64=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 65-64=1
Current State: 90:[90, 1], Operations: ['16*4=64', '65-64=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
68,
15,
3,
17
] | 74 | [
"17-15=2",
"3*2=6",
"68+6=74"
] | Current State: 74:[68, 15, 3, 17], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [68, 3, 2]
Generated Node #2: [68, 3, 2] from Operation: 17-15=2
Current State: 74:[68, 3, 2], Operations: ['17-15=2']
Exploring Operation: 3*2=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 3*2=6
Current State: 74:[68, 6], Operations: ['17-15=2', '3*2=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
33,
40,
12,
12
] | 72 | [
"33+40=73",
"12/12=1",
"73-1=72"
] | Current State: 72:[33, 40, 12, 12], Operations: []
Exploring Operation: 33+40=73, Resulting Numbers: [12, 12, 73]
Generated Node #2: [12, 12, 73] from Operation: 33+40=73
Current State: 72:[12, 12, 73], Operations: ['33+40=73']
Exploring Operation: 12/12=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 12/12=1
Current State: 72:[73, 1], Operations: ['33+40=73', '12/12=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
12,
24,
29,
16
] | 49 | [
"12+24=36",
"29-16=13",
"36+13=49"
] | Current State: 49:[12, 24, 29, 16], Operations: []
Exploring Operation: 12+24=36, Resulting Numbers: [29, 16, 36]
Generated Node #2: [29, 16, 36] from Operation: 12+24=36
Current State: 49:[29, 16, 36], Operations: ['12+24=36']
Exploring Operation: 29-16=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 29-16=13
Current State: 49:[36, 13], Operations: ['12+24=36', '29-16=13']
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
47,
89,
13,
93
] | 30 | [
"47+89=136",
"13+93=106",
"136-106=30"
] | Current State: 30:[47, 89, 13, 93], Operations: []
Exploring Operation: 47+89=136, Resulting Numbers: [13, 93, 136]
Generated Node #2: [13, 93, 136] from Operation: 47+89=136
Current State: 30:[13, 93, 136], Operations: ['47+89=136']
Exploring Operation: 13+93=106, Resulting Numbers: [136, 106]
Generated Node #3: [136, 106] from Operation: 13+93=106
Current State: 30:[136, 106], Operations: ['47+89=136', '13+93=106']
Exploring Operation: 136-106=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
48,
55,
8,
51
] | 66 | [
"55-48=7",
"8+51=59",
"7+59=66"
] | Current State: 66:[48, 55, 8, 51], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [8, 51, 7]
Generated Node #2: [8, 51, 7] from Operation: 55-48=7
Current State: 66:[8, 51, 7], Operations: ['55-48=7']
Exploring Operation: 8+51=59, Resulting Numbers: [7, 59]
Generated Node #3: [7, 59] from Operation: 8+51=59
Current State: 66:[7, 59], Operations: ['55-48=7', '8+51=59']
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
25,
84,
11,
9
] | 39 | [
"84-25=59",
"11+9=20",
"59-20=39"
] | Current State: 39:[25, 84, 11, 9], Operations: []
Exploring Operation: 84-25=59, Resulting Numbers: [11, 9, 59]
Generated Node #2: [11, 9, 59] from Operation: 84-25=59
Current State: 39:[11, 9, 59], Operations: ['84-25=59']
Exploring Operation: 11+9=20, Resulting Numbers: [59, 20]
Generated Node #3: [59, 20] from Operation: 11+9=20
Current State: 39:[59, 20], Operations: ['84-25=59', '11+9=20']
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
57,
24,
21,
34
] | 20 | [
"57-24=33",
"34-21=13",
"33-13=20"
] | Current State: 20:[57, 24, 21, 34], Operations: []
Exploring Operation: 57-24=33, Resulting Numbers: [21, 34, 33]
Generated Node #2: [21, 34, 33] from Operation: 57-24=33
Current State: 20:[21, 34, 33], Operations: ['57-24=33']
Exploring Operation: 34-21=13, Resulting Numbers: [33, 13]
Generated Node #3: [33, 13] from Operation: 34-21=13
Current State: 20:[33, 13], Operations: ['57-24=33', '34-21=13']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
38,
69,
87
] | 94 | [
"2*38=76",
"87-69=18",
"76+18=94"
] | Current State: 94:[2, 38, 69, 87], Operations: []
Exploring Operation: 2*38=76, Resulting Numbers: [69, 87, 76]
Generated Node #2: [69, 87, 76] from Operation: 2*38=76
Current State: 94:[69, 87, 76], Operations: ['2*38=76']
Exploring Operation: 87-69=18, Resulting Numbers: [76, 18]
Generated Node #3: [76, 18] from Operation: 87-69=18
Current State: 94:[76, 18], Operations: ['2*38=76', '87-69=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
16,
56,
56,
68
] | 60 | [
"16+56=72",
"68-56=12",
"72-12=60"
] | Current State: 60:[16, 56, 56, 68], Operations: []
Exploring Operation: 16+56=72, Resulting Numbers: [68, 72]
Generated Node #2: [68, 72] from Operation: 16+56=72
Current State: 60:[68, 72], Operations: ['16+56=72']
Exploring Operation: 68-56=12, Resulting Numbers: [72, 12]
Generated Node #3: [72, 12] from Operation: 68-56=12
Current State: 60:[72, 12], Operations: ['16+56=72', '68-56=12']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
42,
34,
83,
66
] | 40 | [
"83-66=17",
"34/17=2",
"42-2=40"
] | Current State: 40:[42, 34, 83, 66], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [42, 34, 17]
Generated Node #2: [42, 34, 17] from Operation: 83-66=17
Current State: 40:[42, 34, 17], Operations: ['83-66=17']
Exploring Operation: 34/17=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 34/17=2
Current State: 40:[42, 2], Operations: ['83-66=17', '34/17=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
34,
74,
85,
34
] | 100 | [
"74-34=40",
"85*40=3400",
"3400/34=100"
] | Current State: 100:[34, 74, 85, 34], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [85, 40]
Generated Node #2: [85, 40] from Operation: 74-34=40
Current State: 100:[85, 40], Operations: ['74-34=40']
Exploring Operation: 85*40=3400, Resulting Numbers: [3400]
3400,100 equal: Goal Reached
Exploring Operation: 3400/34=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
77,
38,
29,
36
] | 81 | [
"38-29=9",
"36/9=4",
"77+4=81"
] | Current State: 81:[77, 38, 29, 36], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [77, 36, 9]
Generated Node #2: [77, 36, 9] from Operation: 38-29=9
Current State: 81:[77, 36, 9], Operations: ['38-29=9']
Exploring Operation: 36/9=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 36/9=4
Current State: 81:[77, 4], Operations: ['38-29=9', '36/9=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
12,
27,
80,
12
] | 53 | [
"12+27=39",
"80+12=92",
"92-39=53"
] | Current State: 53:[12, 27, 80, 12], Operations: []
Exploring Operation: 12+27=39, Resulting Numbers: [80, 39]
Generated Node #2: [80, 39] from Operation: 12+27=39
Current State: 53:[80, 39], Operations: ['12+27=39']
Exploring Operation: 80+12=92, Resulting Numbers: [39, 92]
Generated Node #3: [39, 92] from Operation: 80+12=92
Current State: 53:[39, 92], Operations: ['12+27=39', '80+12=92']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
90,
78,
3,
91
] | 25 | [
"91-90=1",
"78/3=26",
"26-1=25"
] | Current State: 25:[90, 78, 3, 91], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [78, 3, 1]
Generated Node #2: [78, 3, 1] from Operation: 91-90=1
Current State: 25:[78, 3, 1], Operations: ['91-90=1']
Exploring Operation: 78/3=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 78/3=26
Current State: 25:[1, 26], Operations: ['91-90=1', '78/3=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
87,
27,
33,
29
] | 58 | [
"87-33=54",
"54/27=2",
"29*2=58"
] | Current State: 58:[87, 27, 33, 29], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [27, 29, 54]
Generated Node #2: [27, 29, 54] from Operation: 87-33=54
Current State: 58:[27, 29, 54], Operations: ['87-33=54']
Exploring Operation: 54/27=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 54/27=2
Current State: 58:[29, 2], Operations: ['87-33=54', '54/27=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
31,
34,
83,
78
] | 51 | [
"83-31=52",
"34*78=2652",
"2652/52=51"
] | Current State: 51:[31, 34, 83, 78], Operations: []
Exploring Operation: 83-31=52, Resulting Numbers: [34, 78, 52]
Generated Node #2: [34, 78, 52] from Operation: 83-31=52
Current State: 51:[34, 78, 52], Operations: ['83-31=52']
Exploring Operation: 34*78=2652, Resulting Numbers: [52, 2652]
Generated Node #3: [52, 2652] from Operation: 34*78=2652
Current State: 51:[52, 2652], Operations: ['83-31=52', '34*78=2652']
Exploring Operation: 2652/52=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
5,
30,
78,
2
] | 38 | [
"5*2=10",
"78-30=48",
"48-10=38"
] | Current State: 38:[5, 30, 78, 2], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [30, 78, 10]
Generated Node #2: [30, 78, 10] from Operation: 5*2=10
Current State: 38:[30, 78, 10], Operations: ['5*2=10']
Exploring Operation: 78-30=48, Resulting Numbers: [10, 48]
Generated Node #3: [10, 48] from Operation: 78-30=48
Current State: 38:[10, 48], Operations: ['5*2=10', '78-30=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
31,
9,
41,
50
] | 49 | [
"31+9=40",
"50-41=9",
"40+9=49"
] | Current State: 49:[31, 9, 41, 50], Operations: []
Exploring Operation: 31+9=40, Resulting Numbers: [41, 50, 40]
Generated Node #2: [41, 50, 40] from Operation: 31+9=40
Current State: 49:[41, 50, 40], Operations: ['31+9=40']
Exploring Operation: 50-41=9, Resulting Numbers: [40, 9]
Generated Node #3: [40, 9] from Operation: 50-41=9
Current State: 49:[40, 9], Operations: ['31+9=40', '50-41=9']
Exploring Operation: 40+9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
36,
24,
16,
20
] | 38 | [
"24+16=40",
"40/20=2",
"36+2=38"
] | Current State: 38:[36, 24, 16, 20], Operations: []
Exploring Operation: 24+16=40, Resulting Numbers: [36, 20, 40]
Generated Node #2: [36, 20, 40] from Operation: 24+16=40
Current State: 38:[36, 20, 40], Operations: ['24+16=40']
Exploring Operation: 40/20=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 40/20=2
Current State: 38:[36, 2], Operations: ['24+16=40', '40/20=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
7,
92,
58,
18
] | 39 | [
"7*92=644",
"58+644=702",
"702/18=39"
] | Current State: 39:[7, 92, 58, 18], Operations: []
Exploring Operation: 7*92=644, Resulting Numbers: [58, 18, 644]
Generated Node #2: [58, 18, 644] from Operation: 7*92=644
Current State: 39:[58, 18, 644], Operations: ['7*92=644']
Exploring Operation: 58+644=702, Resulting Numbers: [18, 702]
Generated Node #3: [18, 702] from Operation: 58+644=702
Current State: 39:[18, 702], Operations: ['7*92=644', '58+644=702']
Exploring Operation: 702/18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
68,
55,
17
] | 86 | [
"68-54=14",
"55+17=72",
"14+72=86"
] | Current State: 86:[54, 68, 55, 17], Operations: []
Exploring Operation: 68-54=14, Resulting Numbers: [55, 17, 14]
Generated Node #2: [55, 17, 14] from Operation: 68-54=14
Current State: 86:[55, 17, 14], Operations: ['68-54=14']
Exploring Operation: 55+17=72, Resulting Numbers: [14, 72]
Generated Node #3: [14, 72] from Operation: 55+17=72
Current State: 86:[14, 72], Operations: ['68-54=14', '55+17=72']
Exploring Operation: 14+72=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
33,
17,
32,
57
] | 25 | [
"33+17=50",
"57-32=25",
"50-25=25"
] | Current State: 25:[33, 17, 32, 57], Operations: []
Exploring Operation: 33+17=50, Resulting Numbers: [32, 57, 50]
Generated Node #2: [32, 57, 50] from Operation: 33+17=50
Current State: 25:[32, 57, 50], Operations: ['33+17=50']
Exploring Operation: 57-32=25, Resulting Numbers: [50, 25]
Generated Node #3: [50, 25] from Operation: 57-32=25
Current State: 25:[50, 25], Operations: ['33+17=50', '57-32=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
76,
3,
20,
74
] | 14 | [
"76-74=2",
"3*2=6",
"20-6=14"
] | Current State: 14:[76, 3, 20, 74], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [3, 20, 2]
Generated Node #2: [3, 20, 2] from Operation: 76-74=2
Current State: 14:[3, 20, 2], Operations: ['76-74=2']
Exploring Operation: 3*2=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 3*2=6
Current State: 14:[20, 6], Operations: ['76-74=2', '3*2=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
13,
93,
18,
17
] | 14 | [
"13+18=31",
"93/31=3",
"17-3=14"
] | Current State: 14:[13, 93, 18, 17], Operations: []
Exploring Operation: 13+18=31, Resulting Numbers: [93, 17, 31]
Generated Node #2: [93, 17, 31] from Operation: 13+18=31
Current State: 14:[93, 17, 31], Operations: ['13+18=31']
Exploring Operation: 93/31=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 93/31=3
Current State: 14:[17, 3], Operations: ['13+18=31', '93/31=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
46,
19,
49,
4
] | 26 | [
"46-19=27",
"49+4=53",
"53-27=26"
] | Current State: 26:[46, 19, 49, 4], Operations: []
Exploring Operation: 46-19=27, Resulting Numbers: [49, 4, 27]
Generated Node #2: [49, 4, 27] from Operation: 46-19=27
Current State: 26:[49, 4, 27], Operations: ['46-19=27']
Exploring Operation: 49+4=53, Resulting Numbers: [27, 53]
Generated Node #3: [27, 53] from Operation: 49+4=53
Current State: 26:[27, 53], Operations: ['46-19=27', '49+4=53']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
28,
30,
46,
59
] | 45 | [
"28+30=58",
"59-46=13",
"58-13=45"
] | Current State: 45:[28, 30, 46, 59], Operations: []
Exploring Operation: 28+30=58, Resulting Numbers: [46, 59, 58]
Generated Node #2: [46, 59, 58] from Operation: 28+30=58
Current State: 45:[46, 59, 58], Operations: ['28+30=58']
Exploring Operation: 59-46=13, Resulting Numbers: [58, 13]
Generated Node #3: [58, 13] from Operation: 59-46=13
Current State: 45:[58, 13], Operations: ['28+30=58', '59-46=13']
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
96,
88,
76,
80
] | 82 | [
"96*76=7296",
"7296-80=7216",
"7216/88=82"
] | Current State: 82:[96, 88, 76, 80], Operations: []
Exploring Operation: 96*76=7296, Resulting Numbers: [88, 80, 7296]
Generated Node #2: [88, 80, 7296] from Operation: 96*76=7296
Current State: 82:[88, 80, 7296], Operations: ['96*76=7296']
Exploring Operation: 7296-80=7216, Resulting Numbers: [88, 7216]
Generated Node #3: [88, 7216] from Operation: 7296-80=7216
Current State: 82:[88, 7216], Operations: ['96*76=7296', '7296-80=7216']
Exploring Operation: 7216/88=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
30,
6,
19,
12
] | 10 | [
"6+19=25",
"12*25=300",
"300/30=10"
] | Current State: 10:[30, 6, 19, 12], Operations: []
Exploring Operation: 6+19=25, Resulting Numbers: [30, 12, 25]
Generated Node #2: [30, 12, 25] from Operation: 6+19=25
Current State: 10:[30, 12, 25], Operations: ['6+19=25']
Exploring Operation: 12*25=300, Resulting Numbers: [30, 300]
Generated Node #3: [30, 300] from Operation: 12*25=300
Current State: 10:[30, 300], Operations: ['6+19=25', '12*25=300']
Exploring Operation: 300/30=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
17,
99,
21,
38
] | 98 | [
"17+21=38",
"38/38=1",
"99-1=98"
] | Current State: 98:[17, 99, 21, 38], Operations: []
Exploring Operation: 17+21=38, Resulting Numbers: [99, 38, 38]
Generated Node #2: [99, 38, 38] from Operation: 17+21=38
Current State: 98:[99, 38, 38], Operations: ['17+21=38']
Exploring Operation: 38/38=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 38/38=1
Current State: 98:[99, 1], Operations: ['17+21=38', '38/38=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
14,
11,
23,
9
] | 17 | [
"14-11=3",
"23-9=14",
"3+14=17"
] | Current State: 17:[14, 11, 23, 9], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [23, 9, 3]
Generated Node #2: [23, 9, 3] from Operation: 14-11=3
Current State: 17:[23, 9, 3], Operations: ['14-11=3']
Exploring Operation: 23-9=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 23-9=14
Current State: 17:[3, 14], Operations: ['14-11=3', '23-9=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
82,
79,
84,
14
] | 72 | [
"84-82=2",
"14/2=7",
"79-7=72"
] | Current State: 72:[82, 79, 84, 14], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [79, 14, 2]
Generated Node #2: [79, 14, 2] from Operation: 84-82=2
Current State: 72:[79, 14, 2], Operations: ['84-82=2']
Exploring Operation: 14/2=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 14/2=7
Current State: 72:[79, 7], Operations: ['84-82=2', '14/2=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
23,
50,
20,
47
] | 94 | [
"50-23=27",
"20+47=67",
"27+67=94"
] | Current State: 94:[23, 50, 20, 47], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [20, 47, 27]
Generated Node #2: [20, 47, 27] from Operation: 50-23=27
Current State: 94:[20, 47, 27], Operations: ['50-23=27']
Exploring Operation: 20+47=67, Resulting Numbers: [27, 67]
Generated Node #3: [27, 67] from Operation: 20+47=67
Current State: 94:[27, 67], Operations: ['50-23=27', '20+47=67']
Exploring Operation: 27+67=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
70,
29,
13,
73
] | 14 | [
"73-70=3",
"29+13=42",
"42/3=14"
] | Current State: 14:[70, 29, 13, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [29, 13, 3]
Generated Node #2: [29, 13, 3] from Operation: 73-70=3
Current State: 14:[29, 13, 3], Operations: ['73-70=3']
Exploring Operation: 29+13=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 29+13=42
Current State: 14:[3, 42], Operations: ['73-70=3', '29+13=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
61,
78,
24,
87
] | 39 | [
"61+24=85",
"87-85=2",
"78/2=39"
] | Current State: 39:[61, 78, 24, 87], Operations: []
Exploring Operation: 61+24=85, Resulting Numbers: [78, 87, 85]
Generated Node #2: [78, 87, 85] from Operation: 61+24=85
Current State: 39:[78, 87, 85], Operations: ['61+24=85']
Exploring Operation: 87-85=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 87-85=2
Current State: 39:[78, 2], Operations: ['61+24=85', '87-85=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
37,
24,
37,
59
] | 47 | [
"37*37=1369",
"24*59=1416",
"1416-1369=47"
] | Current State: 47:[37, 24, 37, 59], Operations: []
Exploring Operation: 37*37=1369, Resulting Numbers: [24, 59, 1369]
Generated Node #2: [24, 59, 1369] from Operation: 37*37=1369
Current State: 47:[24, 59, 1369], Operations: ['37*37=1369']
Exploring Operation: 24*59=1416, Resulting Numbers: [1369, 1416]
Generated Node #3: [1369, 1416] from Operation: 24*59=1416
Current State: 47:[1369, 1416], Operations: ['37*37=1369', '24*59=1416']
Exploring Operation: 1416-1369=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
84,
4,
46,
2
] | 71 | [
"84/4=21",
"46*2=92",
"92-21=71"
] | Current State: 71:[84, 4, 46, 2], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [46, 2, 21]
Generated Node #2: [46, 2, 21] from Operation: 84/4=21
Current State: 71:[46, 2, 21], Operations: ['84/4=21']
Exploring Operation: 46*2=92, Resulting Numbers: [21, 92]
Generated Node #3: [21, 92] from Operation: 46*2=92
Current State: 71:[21, 92], Operations: ['84/4=21', '46*2=92']
Exploring Operation: 92-21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
79,
82,
29,
27
] | 85 | [
"29-27=2",
"82*2=164",
"164-79=85"
] | Current State: 85:[79, 82, 29, 27], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [79, 82, 2]
Generated Node #2: [79, 82, 2] from Operation: 29-27=2
Current State: 85:[79, 82, 2], Operations: ['29-27=2']
Exploring Operation: 82*2=164, Resulting Numbers: [79, 164]
Generated Node #3: [79, 164] from Operation: 82*2=164
Current State: 85:[79, 164], Operations: ['29-27=2', '82*2=164']
Exploring Operation: 164-79=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
66,
4,
2,
64
] | 36 | [
"64-4=60",
"60/2=30",
"66-30=36"
] | Current State: 36:[66, 4, 2, 64], Operations: []
Exploring Operation: 64-4=60, Resulting Numbers: [66, 2, 60]
Generated Node #2: [66, 2, 60] from Operation: 64-4=60
Current State: 36:[66, 2, 60], Operations: ['64-4=60']
Exploring Operation: 60/2=30, Resulting Numbers: [66, 30]
Generated Node #3: [66, 30] from Operation: 60/2=30
Current State: 36:[66, 30], Operations: ['64-4=60', '60/2=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
11,
63,
51,
65
] | 29 | [
"65-63=2",
"11*2=22",
"51-22=29"
] | Current State: 29:[11, 63, 51, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [11, 51, 2]
Generated Node #2: [11, 51, 2] from Operation: 65-63=2
Current State: 29:[11, 51, 2], Operations: ['65-63=2']
Exploring Operation: 11*2=22, Resulting Numbers: [51, 22]
Generated Node #3: [51, 22] from Operation: 11*2=22
Current State: 29:[51, 22], Operations: ['65-63=2', '11*2=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
1,
32,
16,
77
] | 92 | [
"32-1=31",
"77-16=61",
"31+61=92"
] | Current State: 92:[1, 32, 16, 77], Operations: []
Exploring Operation: 32-1=31, Resulting Numbers: [16, 77, 31]
Generated Node #2: [16, 77, 31] from Operation: 32-1=31
Current State: 92:[16, 77, 31], Operations: ['32-1=31']
Exploring Operation: 77-16=61, Resulting Numbers: [31, 61]
Generated Node #3: [31, 61] from Operation: 77-16=61
Current State: 92:[31, 61], Operations: ['32-1=31', '77-16=61']
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
16,
94,
82,
31
] | 20 | [
"94+82=176",
"176/16=11",
"31-11=20"
] | Current State: 20:[16, 94, 82, 31], Operations: []
Exploring Operation: 94+82=176, Resulting Numbers: [16, 31, 176]
Generated Node #2: [16, 31, 176] from Operation: 94+82=176
Current State: 20:[16, 31, 176], Operations: ['94+82=176']
Exploring Operation: 176/16=11, Resulting Numbers: [31, 11]
Generated Node #3: [31, 11] from Operation: 176/16=11
Current State: 20:[31, 11], Operations: ['94+82=176', '176/16=11']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
77,
43,
56,
11
] | 20 | [
"77/11=7",
"56-43=13",
"7+13=20"
] | Current State: 20:[77, 43, 56, 11], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [43, 56, 7]
Generated Node #2: [43, 56, 7] from Operation: 77/11=7
Current State: 20:[43, 56, 7], Operations: ['77/11=7']
Exploring Operation: 56-43=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 56-43=13
Current State: 20:[7, 13], Operations: ['77/11=7', '56-43=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
81,
89,
44,
54
] | 80 | [
"89-81=8",
"54-44=10",
"8*10=80"
] | Current State: 80:[81, 89, 44, 54], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [44, 54, 8]
Generated Node #2: [44, 54, 8] from Operation: 89-81=8
Current State: 80:[44, 54, 8], Operations: ['89-81=8']
Exploring Operation: 54-44=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 54-44=10
Current State: 80:[8, 10], Operations: ['89-81=8', '54-44=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
89,
73,
29,
2
] | 52 | [
"89+73=162",
"162/2=81",
"81-29=52"
] | Current State: 52:[89, 73, 29, 2], Operations: []
Exploring Operation: 89+73=162, Resulting Numbers: [29, 2, 162]
Generated Node #2: [29, 2, 162] from Operation: 89+73=162
Current State: 52:[29, 2, 162], Operations: ['89+73=162']
Exploring Operation: 162/2=81, Resulting Numbers: [29, 81]
Generated Node #3: [29, 81] from Operation: 162/2=81
Current State: 52:[29, 81], Operations: ['89+73=162', '162/2=81']
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
15,
43,
8,
40
] | 39 | [
"43-40=3",
"8*3=24",
"15+24=39"
] | Current State: 39:[15, 43, 8, 40], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [15, 8, 3]
Generated Node #2: [15, 8, 3] from Operation: 43-40=3
Current State: 39:[15, 8, 3], Operations: ['43-40=3']
Exploring Operation: 8*3=24, Resulting Numbers: [15, 24]
Generated Node #3: [15, 24] from Operation: 8*3=24
Current State: 39:[15, 24], Operations: ['43-40=3', '8*3=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
48,
80,
44
] | 81 | [
"48-3=45",
"80-44=36",
"45+36=81"
] | Current State: 81:[3, 48, 80, 44], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [80, 44, 45]
Generated Node #2: [80, 44, 45] from Operation: 48-3=45
Current State: 81:[80, 44, 45], Operations: ['48-3=45']
Exploring Operation: 80-44=36, Resulting Numbers: [45, 36]
Generated Node #3: [45, 36] from Operation: 80-44=36
Current State: 81:[45, 36], Operations: ['48-3=45', '80-44=36']
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
80,
18,
83,
96
] | 50 | [
"83-80=3",
"96/3=32",
"18+32=50"
] | Current State: 50:[80, 18, 83, 96], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [18, 96, 3]
Generated Node #2: [18, 96, 3] from Operation: 83-80=3
Current State: 50:[18, 96, 3], Operations: ['83-80=3']
Exploring Operation: 96/3=32, Resulting Numbers: [18, 32]
Generated Node #3: [18, 32] from Operation: 96/3=32
Current State: 50:[18, 32], Operations: ['83-80=3', '96/3=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
61,
32,
73,
58
] | 14 | [
"61-32=29",
"73-58=15",
"29-15=14"
] | Current State: 14:[61, 32, 73, 58], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [73, 58, 29]
Generated Node #2: [73, 58, 29] from Operation: 61-32=29
Current State: 14:[73, 58, 29], Operations: ['61-32=29']
Exploring Operation: 73-58=15, Resulting Numbers: [29, 15]
Generated Node #3: [29, 15] from Operation: 73-58=15
Current State: 14:[29, 15], Operations: ['61-32=29', '73-58=15']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
18,
94,
99,
17
] | 67 | [
"99-94=5",
"17*5=85",
"85-18=67"
] | Current State: 67:[18, 94, 99, 17], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [18, 17, 5]
Generated Node #2: [18, 17, 5] from Operation: 99-94=5
Current State: 67:[18, 17, 5], Operations: ['99-94=5']
Exploring Operation: 17*5=85, Resulting Numbers: [18, 85]
Generated Node #3: [18, 85] from Operation: 17*5=85
Current State: 67:[18, 85], Operations: ['99-94=5', '17*5=85']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
54,
18,
66,
63
] | 12 | [
"54-18=36",
"66-63=3",
"36/3=12"
] | Current State: 12:[54, 18, 66, 63], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [66, 63, 36]
Generated Node #2: [66, 63, 36] from Operation: 54-18=36
Current State: 12:[66, 63, 36], Operations: ['54-18=36']
Exploring Operation: 66-63=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 66-63=3
Current State: 12:[36, 3], Operations: ['54-18=36', '66-63=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
68,
28,
32,
12
] | 63 | [
"28+32=60",
"60/12=5",
"68-5=63"
] | Current State: 63:[68, 28, 32, 12], Operations: []
Exploring Operation: 28+32=60, Resulting Numbers: [68, 12, 60]
Generated Node #2: [68, 12, 60] from Operation: 28+32=60
Current State: 63:[68, 12, 60], Operations: ['28+32=60']
Exploring Operation: 60/12=5, Resulting Numbers: [68, 5]
Generated Node #3: [68, 5] from Operation: 60/12=5
Current State: 63:[68, 5], Operations: ['28+32=60', '60/12=5']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
51,
31,
36,
45
] | 39 | [
"51*31=1581",
"36*45=1620",
"1620-1581=39"
] | Current State: 39:[51, 31, 36, 45], Operations: []
Exploring Operation: 51*31=1581, Resulting Numbers: [36, 45, 1581]
Generated Node #2: [36, 45, 1581] from Operation: 51*31=1581
Current State: 39:[36, 45, 1581], Operations: ['51*31=1581']
Exploring Operation: 36*45=1620, Resulting Numbers: [1581, 1620]
Generated Node #3: [1581, 1620] from Operation: 36*45=1620
Current State: 39:[1581, 1620], Operations: ['51*31=1581', '36*45=1620']
Exploring Operation: 1620-1581=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
96,
95,
28,
4
] | 98 | [
"28+4=32",
"96/32=3",
"95+3=98"
] | Current State: 98:[96, 95, 28, 4], Operations: []
Exploring Operation: 28+4=32, Resulting Numbers: [96, 95, 32]
Generated Node #2: [96, 95, 32] from Operation: 28+4=32
Current State: 98:[96, 95, 32], Operations: ['28+4=32']
Exploring Operation: 96/32=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 96/32=3
Current State: 98:[95, 3], Operations: ['28+4=32', '96/32=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
67,
80,
8,
94
] | 73 | [
"80-67=13",
"94-8=86",
"86-13=73"
] | Current State: 73:[67, 80, 8, 94], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [8, 94, 13]
Generated Node #2: [8, 94, 13] from Operation: 80-67=13
Current State: 73:[8, 94, 13], Operations: ['80-67=13']
Exploring Operation: 94-8=86, Resulting Numbers: [13, 86]
Generated Node #3: [13, 86] from Operation: 94-8=86
Current State: 73:[13, 86], Operations: ['80-67=13', '94-8=86']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
89,
93,
95,
1
] | 19 | [
"93-89=4",
"1+4=5",
"95/5=19"
] | Current State: 19:[89, 93, 95, 1], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [95, 1, 4]
Generated Node #2: [95, 1, 4] from Operation: 93-89=4
Current State: 19:[95, 1, 4], Operations: ['93-89=4']
Exploring Operation: 1+4=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 1+4=5
Current State: 19:[95, 5], Operations: ['93-89=4', '1+4=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
62,
1,
65,
56
] | 59 | [
"62*1=62",
"65+56=121",
"121-62=59"
] | Current State: 59:[62, 1, 65, 56], Operations: []
Exploring Operation: 62*1=62, Resulting Numbers: [65, 56, 62]
Generated Node #2: [65, 56, 62] from Operation: 62*1=62
Current State: 59:[65, 56, 62], Operations: ['62*1=62']
Exploring Operation: 65+56=121, Resulting Numbers: [62, 121]
Generated Node #3: [62, 121] from Operation: 65+56=121
Current State: 59:[62, 121], Operations: ['62*1=62', '65+56=121']
Exploring Operation: 121-62=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
69,
58,
85,
80
] | 13 | [
"80-69=11",
"58+85=143",
"143/11=13"
] | Current State: 13:[69, 58, 85, 80], Operations: []
Exploring Operation: 80-69=11, Resulting Numbers: [58, 85, 11]
Generated Node #2: [58, 85, 11] from Operation: 80-69=11
Current State: 13:[58, 85, 11], Operations: ['80-69=11']
Exploring Operation: 58+85=143, Resulting Numbers: [11, 143]
Generated Node #3: [11, 143] from Operation: 58+85=143
Current State: 13:[11, 143], Operations: ['80-69=11', '58+85=143']
Exploring Operation: 143/11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
63,
24,
96,
23
] | 29 | [
"96/24=4",
"23*4=92",
"92-63=29"
] | Current State: 29:[63, 24, 96, 23], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [63, 23, 4]
Generated Node #2: [63, 23, 4] from Operation: 96/24=4
Current State: 29:[63, 23, 4], Operations: ['96/24=4']
Exploring Operation: 23*4=92, Resulting Numbers: [63, 92]
Generated Node #3: [63, 92] from Operation: 23*4=92
Current State: 29:[63, 92], Operations: ['96/24=4', '23*4=92']
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
71,
1,
97,
9
] | 21 | [
"71+97=168",
"9-1=8",
"168/8=21"
] | Current State: 21:[71, 1, 97, 9], Operations: []
Exploring Operation: 71+97=168, Resulting Numbers: [1, 9, 168]
Generated Node #2: [1, 9, 168] from Operation: 71+97=168
Current State: 21:[1, 9, 168], Operations: ['71+97=168']
Exploring Operation: 9-1=8, Resulting Numbers: [168, 8]
Generated Node #3: [168, 8] from Operation: 9-1=8
Current State: 21:[168, 8], Operations: ['71+97=168', '9-1=8']
Exploring Operation: 168/8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
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