nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
31,
96,
16,
9
] | 46 | [
"31+9=40",
"96/16=6",
"40+6=46"
] | Current State: 46:[31, 96, 16, 9], Operations: []
Exploring Operation: 31+9=40, Resulting Numbers: [96, 16, 40]
Generated Node #2: [96, 16, 40] from Operation: 31+9=40
Current State: 46:[96, 16, 40], Operations: ['31+9=40']
Exploring Operation: 96/16=6, Resulting Numbers: [40, 6]
Generated Node #3: [40, 6] from Operation: 96/16=6
Current State: 46:[40, 6], Operations: ['31+9=40', '96/16=6']
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
91,
39,
31,
1
] | 84 | [
"91-39=52",
"31+1=32",
"52+32=84"
] | Current State: 84:[91, 39, 31, 1], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [31, 1, 52]
Generated Node #2: [31, 1, 52] from Operation: 91-39=52
Current State: 84:[31, 1, 52], Operations: ['91-39=52']
Exploring Operation: 31+1=32, Resulting Numbers: [52, 32]
Generated Node #3: [52, 32] from Operation: 31+1=32
Current State: 84:[52, 32], Operations: ['91-39=52', '31+1=32']
Exploring Operation: 52+32=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
23,
43,
2,
3
] | 100 | [
"43-23=20",
"2+3=5",
"20*5=100"
] | Current State: 100:[23, 43, 2, 3], Operations: []
Exploring Operation: 43-23=20, Resulting Numbers: [2, 3, 20]
Generated Node #2: [2, 3, 20] from Operation: 43-23=20
Current State: 100:[2, 3, 20], Operations: ['43-23=20']
Exploring Operation: 2+3=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 2+3=5
Current State: 100:[20, 5], Operations: ['43-23=20', '2+3=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
8,
19,
28,
29
] | 12 | [
"19-8=11",
"29-28=1",
"11+1=12"
] | Current State: 12:[8, 19, 28, 29], Operations: []
Exploring Operation: 19-8=11, Resulting Numbers: [28, 29, 11]
Generated Node #2: [28, 29, 11] from Operation: 19-8=11
Current State: 12:[28, 29, 11], Operations: ['19-8=11']
Exploring Operation: 29-28=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 29-28=1
Current State: 12:[11, 1], Operations: ['19-8=11', '29-28=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
13,
82,
48,
83
] | 73 | [
"82+48=130",
"130/13=10",
"83-10=73"
] | Current State: 73:[13, 82, 48, 83], Operations: []
Exploring Operation: 82+48=130, Resulting Numbers: [13, 83, 130]
Generated Node #2: [13, 83, 130] from Operation: 82+48=130
Current State: 73:[13, 83, 130], Operations: ['82+48=130']
Exploring Operation: 130/13=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 130/13=10
Current State: 73:[83, 10], Operations: ['82+48=130', '130/13=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
7,
77,
27,
72
] | 25 | [
"77-7=70",
"72-27=45",
"70-45=25"
] | Current State: 25:[7, 77, 27, 72], Operations: []
Exploring Operation: 77-7=70, Resulting Numbers: [27, 72, 70]
Generated Node #2: [27, 72, 70] from Operation: 77-7=70
Current State: 25:[27, 72, 70], Operations: ['77-7=70']
Exploring Operation: 72-27=45, Resulting Numbers: [70, 45]
Generated Node #3: [70, 45] from Operation: 72-27=45
Current State: 25:[70, 45], Operations: ['77-7=70', '72-27=45']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
98,
12,
20,
24
] | 80 | [
"98-20=78",
"24/12=2",
"78+2=80"
] | Current State: 80:[98, 12, 20, 24], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [12, 24, 78]
Generated Node #2: [12, 24, 78] from Operation: 98-20=78
Current State: 80:[12, 24, 78], Operations: ['98-20=78']
Exploring Operation: 24/12=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 24/12=2
Current State: 80:[78, 2], Operations: ['98-20=78', '24/12=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
98,
18,
53,
69
] | 64 | [
"98-18=80",
"69-53=16",
"80-16=64"
] | Current State: 64:[98, 18, 53, 69], Operations: []
Exploring Operation: 98-18=80, Resulting Numbers: [53, 69, 80]
Generated Node #2: [53, 69, 80] from Operation: 98-18=80
Current State: 64:[53, 69, 80], Operations: ['98-18=80']
Exploring Operation: 69-53=16, Resulting Numbers: [80, 16]
Generated Node #3: [80, 16] from Operation: 69-53=16
Current State: 64:[80, 16], Operations: ['98-18=80', '69-53=16']
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
38,
69,
62,
10
] | 55 | [
"38+69=107",
"62-10=52",
"107-52=55"
] | Current State: 55:[38, 69, 62, 10], Operations: []
Exploring Operation: 38+69=107, Resulting Numbers: [62, 10, 107]
Generated Node #2: [62, 10, 107] from Operation: 38+69=107
Current State: 55:[62, 10, 107], Operations: ['38+69=107']
Exploring Operation: 62-10=52, Resulting Numbers: [107, 52]
Generated Node #3: [107, 52] from Operation: 62-10=52
Current State: 55:[107, 52], Operations: ['38+69=107', '62-10=52']
Exploring Operation: 107-52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
8,
18,
71,
54
] | 80 | [
"18+54=72",
"72/8=9",
"71+9=80"
] | Current State: 80:[8, 18, 71, 54], Operations: []
Exploring Operation: 18+54=72, Resulting Numbers: [8, 71, 72]
Generated Node #2: [8, 71, 72] from Operation: 18+54=72
Current State: 80:[8, 71, 72], Operations: ['18+54=72']
Exploring Operation: 72/8=9, Resulting Numbers: [71, 9]
Generated Node #3: [71, 9] from Operation: 72/8=9
Current State: 80:[71, 9], Operations: ['18+54=72', '72/8=9']
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
84,
12,
33,
9
] | 29 | [
"12+9=21",
"84/21=4",
"33-4=29"
] | Current State: 29:[84, 12, 33, 9], Operations: []
Exploring Operation: 12+9=21, Resulting Numbers: [84, 33, 21]
Generated Node #2: [84, 33, 21] from Operation: 12+9=21
Current State: 29:[84, 33, 21], Operations: ['12+9=21']
Exploring Operation: 84/21=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 84/21=4
Current State: 29:[33, 4], Operations: ['12+9=21', '84/21=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
95,
40,
13,
80
] | 20 | [
"95-13=82",
"82-80=2",
"40/2=20"
] | Current State: 20:[95, 40, 13, 80], Operations: []
Exploring Operation: 95-13=82, Resulting Numbers: [40, 80, 82]
Generated Node #2: [40, 80, 82] from Operation: 95-13=82
Current State: 20:[40, 80, 82], Operations: ['95-13=82']
Exploring Operation: 82-80=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 82-80=2
Current State: 20:[40, 2], Operations: ['95-13=82', '82-80=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
89,
86,
39,
34
] | 21 | [
"89-86=3",
"39/3=13",
"34-13=21"
] | Current State: 21:[89, 86, 39, 34], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [39, 34, 3]
Generated Node #2: [39, 34, 3] from Operation: 89-86=3
Current State: 21:[39, 34, 3], Operations: ['89-86=3']
Exploring Operation: 39/3=13, Resulting Numbers: [34, 13]
Generated Node #3: [34, 13] from Operation: 39/3=13
Current State: 21:[34, 13], Operations: ['89-86=3', '39/3=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
14,
24,
2,
1
] | 61 | [
"14-1=13",
"24*2=48",
"13+48=61"
] | Current State: 61:[14, 24, 2, 1], Operations: []
Exploring Operation: 14-1=13, Resulting Numbers: [24, 2, 13]
Generated Node #2: [24, 2, 13] from Operation: 14-1=13
Current State: 61:[24, 2, 13], Operations: ['14-1=13']
Exploring Operation: 24*2=48, Resulting Numbers: [13, 48]
Generated Node #3: [13, 48] from Operation: 24*2=48
Current State: 61:[13, 48], Operations: ['14-1=13', '24*2=48']
Exploring Operation: 13+48=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
98,
25,
45,
56
] | 75 | [
"98-45=53",
"56-53=3",
"25*3=75"
] | Current State: 75:[98, 25, 45, 56], Operations: []
Exploring Operation: 98-45=53, Resulting Numbers: [25, 56, 53]
Generated Node #2: [25, 56, 53] from Operation: 98-45=53
Current State: 75:[25, 56, 53], Operations: ['98-45=53']
Exploring Operation: 56-53=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 56-53=3
Current State: 75:[25, 3], Operations: ['98-45=53', '56-53=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
36,
55,
46,
79
] | 60 | [
"36*55=1980",
"79-46=33",
"1980/33=60"
] | Current State: 60:[36, 55, 46, 79], Operations: []
Exploring Operation: 36*55=1980, Resulting Numbers: [46, 79, 1980]
Generated Node #2: [46, 79, 1980] from Operation: 36*55=1980
Current State: 60:[46, 79, 1980], Operations: ['36*55=1980']
Exploring Operation: 79-46=33, Resulting Numbers: [1980, 33]
Generated Node #3: [1980, 33] from Operation: 79-46=33
Current State: 60:[1980, 33], Operations: ['36*55=1980', '79-46=33']
Exploring Operation: 1980/33=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
95,
20,
13,
5
] | 67 | [
"95-20=75",
"13-5=8",
"75-8=67"
] | Current State: 67:[95, 20, 13, 5], Operations: []
Exploring Operation: 95-20=75, Resulting Numbers: [13, 5, 75]
Generated Node #2: [13, 5, 75] from Operation: 95-20=75
Current State: 67:[13, 5, 75], Operations: ['95-20=75']
Exploring Operation: 13-5=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 13-5=8
Current State: 67:[75, 8], Operations: ['95-20=75', '13-5=8']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
29,
98,
67,
9
] | 96 | [
"29*9=261",
"98+67=165",
"261-165=96"
] | Current State: 96:[29, 98, 67, 9], Operations: []
Exploring Operation: 29*9=261, Resulting Numbers: [98, 67, 261]
Generated Node #2: [98, 67, 261] from Operation: 29*9=261
Current State: 96:[98, 67, 261], Operations: ['29*9=261']
Exploring Operation: 98+67=165, Resulting Numbers: [261, 165]
Generated Node #3: [261, 165] from Operation: 98+67=165
Current State: 96:[261, 165], Operations: ['29*9=261', '98+67=165']
Exploring Operation: 261-165=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
18,
61,
35,
25
] | 37 | [
"61-25=36",
"36/18=2",
"35+2=37"
] | Current State: 37:[18, 61, 35, 25], Operations: []
Exploring Operation: 61-25=36, Resulting Numbers: [18, 35, 36]
Generated Node #2: [18, 35, 36] from Operation: 61-25=36
Current State: 37:[18, 35, 36], Operations: ['61-25=36']
Exploring Operation: 36/18=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 36/18=2
Current State: 37:[35, 2], Operations: ['61-25=36', '36/18=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
9,
51,
5,
7
] | 84 | [
"9+51=60",
"60/5=12",
"7*12=84"
] | Current State: 84:[9, 51, 5, 7], Operations: []
Exploring Operation: 9+51=60, Resulting Numbers: [5, 7, 60]
Generated Node #2: [5, 7, 60] from Operation: 9+51=60
Current State: 84:[5, 7, 60], Operations: ['9+51=60']
Exploring Operation: 60/5=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 60/5=12
Current State: 84:[7, 12], Operations: ['9+51=60', '60/5=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
14,
60,
8,
47
] | 35 | [
"14+60=74",
"47-8=39",
"74-39=35"
] | Current State: 35:[14, 60, 8, 47], Operations: []
Exploring Operation: 14+60=74, Resulting Numbers: [8, 47, 74]
Generated Node #2: [8, 47, 74] from Operation: 14+60=74
Current State: 35:[8, 47, 74], Operations: ['14+60=74']
Exploring Operation: 47-8=39, Resulting Numbers: [74, 39]
Generated Node #3: [74, 39] from Operation: 47-8=39
Current State: 35:[74, 39], Operations: ['14+60=74', '47-8=39']
Exploring Operation: 74-39=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
23,
45,
92,
95
] | 85 | [
"92/23=4",
"45*4=180",
"180-95=85"
] | Current State: 85:[23, 45, 92, 95], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [45, 95, 4]
Generated Node #2: [45, 95, 4] from Operation: 92/23=4
Current State: 85:[45, 95, 4], Operations: ['92/23=4']
Exploring Operation: 45*4=180, Resulting Numbers: [95, 180]
Generated Node #3: [95, 180] from Operation: 45*4=180
Current State: 85:[95, 180], Operations: ['92/23=4', '45*4=180']
Exploring Operation: 180-95=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
2,
61,
20,
21
] | 51 | [
"61+20=81",
"21+81=102",
"102/2=51"
] | Current State: 51:[2, 61, 20, 21], Operations: []
Exploring Operation: 61+20=81, Resulting Numbers: [2, 21, 81]
Generated Node #2: [2, 21, 81] from Operation: 61+20=81
Current State: 51:[2, 21, 81], Operations: ['61+20=81']
Exploring Operation: 21+81=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 21+81=102
Current State: 51:[2, 102], Operations: ['61+20=81', '21+81=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
20,
6,
30,
38
] | 94 | [
"20+6=26",
"30+38=68",
"26+68=94"
] | Current State: 94:[20, 6, 30, 38], Operations: []
Exploring Operation: 20+6=26, Resulting Numbers: [30, 38, 26]
Generated Node #2: [30, 38, 26] from Operation: 20+6=26
Current State: 94:[30, 38, 26], Operations: ['20+6=26']
Exploring Operation: 30+38=68, Resulting Numbers: [26, 68]
Generated Node #3: [26, 68] from Operation: 30+38=68
Current State: 94:[26, 68], Operations: ['20+6=26', '30+38=68']
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
26,
10,
31
] | 44 | [
"20/10=2",
"26/2=13",
"31+13=44"
] | Current State: 44:[20, 26, 10, 31], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [26, 31, 2]
Generated Node #2: [26, 31, 2] from Operation: 20/10=2
Current State: 44:[26, 31, 2], Operations: ['20/10=2']
Exploring Operation: 26/2=13, Resulting Numbers: [31, 13]
Generated Node #3: [31, 13] from Operation: 26/2=13
Current State: 44:[31, 13], Operations: ['20/10=2', '26/2=13']
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
30,
93,
71,
3
] | 92 | [
"93-30=63",
"63/3=21",
"71+21=92"
] | Current State: 92:[30, 93, 71, 3], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [71, 3, 63]
Generated Node #2: [71, 3, 63] from Operation: 93-30=63
Current State: 92:[71, 3, 63], Operations: ['93-30=63']
Exploring Operation: 63/3=21, Resulting Numbers: [71, 21]
Generated Node #3: [71, 21] from Operation: 63/3=21
Current State: 92:[71, 21], Operations: ['93-30=63', '63/3=21']
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
7,
17,
30
] | 39 | [
"30/2=15",
"7+17=24",
"15+24=39"
] | Current State: 39:[2, 7, 17, 30], Operations: []
Exploring Operation: 30/2=15, Resulting Numbers: [7, 17, 15]
Generated Node #2: [7, 17, 15] from Operation: 30/2=15
Current State: 39:[7, 17, 15], Operations: ['30/2=15']
Exploring Operation: 7+17=24, Resulting Numbers: [15, 24]
Generated Node #3: [15, 24] from Operation: 7+17=24
Current State: 39:[15, 24], Operations: ['30/2=15', '7+17=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
41,
11,
88,
20
] | 53 | [
"41+20=61",
"88/11=8",
"61-8=53"
] | Current State: 53:[41, 11, 88, 20], Operations: []
Exploring Operation: 41+20=61, Resulting Numbers: [11, 88, 61]
Generated Node #2: [11, 88, 61] from Operation: 41+20=61
Current State: 53:[11, 88, 61], Operations: ['41+20=61']
Exploring Operation: 88/11=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 88/11=8
Current State: 53:[61, 8], Operations: ['41+20=61', '88/11=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
9,
98,
62,
3
] | 97 | [
"98-9=89",
"62*3=186",
"186-89=97"
] | Current State: 97:[9, 98, 62, 3], Operations: []
Exploring Operation: 98-9=89, Resulting Numbers: [62, 3, 89]
Generated Node #2: [62, 3, 89] from Operation: 98-9=89
Current State: 97:[62, 3, 89], Operations: ['98-9=89']
Exploring Operation: 62*3=186, Resulting Numbers: [89, 186]
Generated Node #3: [89, 186] from Operation: 62*3=186
Current State: 97:[89, 186], Operations: ['98-9=89', '62*3=186']
Exploring Operation: 186-89=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
9,
36,
21,
99
] | 36 | [
"36-21=15",
"9*15=135",
"135-99=36"
] | Current State: 36:[9, 36, 21, 99], Operations: []
Exploring Operation: 36-21=15, Resulting Numbers: [9, 99, 15]
Generated Node #2: [9, 99, 15] from Operation: 36-21=15
Current State: 36:[9, 99, 15], Operations: ['36-21=15']
Exploring Operation: 9*15=135, Resulting Numbers: [99, 135]
Generated Node #3: [99, 135] from Operation: 9*15=135
Current State: 36:[99, 135], Operations: ['36-21=15', '9*15=135']
Exploring Operation: 135-99=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
15,
68,
69,
44
] | 59 | [
"15+44=59",
"69-68=1",
"59*1=59"
] | Current State: 59:[15, 68, 69, 44], Operations: []
Exploring Operation: 15+44=59, Resulting Numbers: [68, 69, 59]
Generated Node #2: [68, 69, 59] from Operation: 15+44=59
Current State: 59:[68, 69, 59], Operations: ['15+44=59']
Exploring Operation: 69-68=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 69-68=1
Current State: 59:[59, 1], Operations: ['15+44=59', '69-68=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
9,
66,
31,
18
] | 15 | [
"31-9=22",
"66/22=3",
"18-3=15"
] | Current State: 15:[9, 66, 31, 18], Operations: []
Exploring Operation: 31-9=22, Resulting Numbers: [66, 18, 22]
Generated Node #2: [66, 18, 22] from Operation: 31-9=22
Current State: 15:[66, 18, 22], Operations: ['31-9=22']
Exploring Operation: 66/22=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 66/22=3
Current State: 15:[18, 3], Operations: ['31-9=22', '66/22=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
65,
9,
52
] | 88 | [
"65+9=74",
"74-52=22",
"4*22=88"
] | Current State: 88:[4, 65, 9, 52], Operations: []
Exploring Operation: 65+9=74, Resulting Numbers: [4, 52, 74]
Generated Node #2: [4, 52, 74] from Operation: 65+9=74
Current State: 88:[4, 52, 74], Operations: ['65+9=74']
Exploring Operation: 74-52=22, Resulting Numbers: [4, 22]
Generated Node #3: [4, 22] from Operation: 74-52=22
Current State: 88:[4, 22], Operations: ['65+9=74', '74-52=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
1,
24,
44,
48
] | 45 | [
"44-1=43",
"48/24=2",
"43+2=45"
] | Current State: 45:[1, 24, 44, 48], Operations: []
Exploring Operation: 44-1=43, Resulting Numbers: [24, 48, 43]
Generated Node #2: [24, 48, 43] from Operation: 44-1=43
Current State: 45:[24, 48, 43], Operations: ['44-1=43']
Exploring Operation: 48/24=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 48/24=2
Current State: 45:[43, 2], Operations: ['44-1=43', '48/24=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
12,
47,
79,
2
] | 76 | [
"79-47=32",
"2*32=64",
"12+64=76"
] | Current State: 76:[12, 47, 79, 2], Operations: []
Exploring Operation: 79-47=32, Resulting Numbers: [12, 2, 32]
Generated Node #2: [12, 2, 32] from Operation: 79-47=32
Current State: 76:[12, 2, 32], Operations: ['79-47=32']
Exploring Operation: 2*32=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 2*32=64
Current State: 76:[12, 64], Operations: ['79-47=32', '2*32=64']
Exploring Operation: 12+64=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
90,
19,
45,
72
] | 44 | [
"90-19=71",
"72-45=27",
"71-27=44"
] | Current State: 44:[90, 19, 45, 72], Operations: []
Exploring Operation: 90-19=71, Resulting Numbers: [45, 72, 71]
Generated Node #2: [45, 72, 71] from Operation: 90-19=71
Current State: 44:[45, 72, 71], Operations: ['90-19=71']
Exploring Operation: 72-45=27, Resulting Numbers: [71, 27]
Generated Node #3: [71, 27] from Operation: 72-45=27
Current State: 44:[71, 27], Operations: ['90-19=71', '72-45=27']
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
54,
57,
72,
13
] | 52 | [
"54+57=111",
"72-13=59",
"111-59=52"
] | Current State: 52:[54, 57, 72, 13], Operations: []
Exploring Operation: 54+57=111, Resulting Numbers: [72, 13, 111]
Generated Node #2: [72, 13, 111] from Operation: 54+57=111
Current State: 52:[72, 13, 111], Operations: ['54+57=111']
Exploring Operation: 72-13=59, Resulting Numbers: [111, 59]
Generated Node #3: [111, 59] from Operation: 72-13=59
Current State: 52:[111, 59], Operations: ['54+57=111', '72-13=59']
Exploring Operation: 111-59=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
36,
22,
81
] | 37 | [
"81-36=45",
"45/3=15",
"22+15=37"
] | Current State: 37:[3, 36, 22, 81], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [3, 22, 45]
Generated Node #2: [3, 22, 45] from Operation: 81-36=45
Current State: 37:[3, 22, 45], Operations: ['81-36=45']
Exploring Operation: 45/3=15, Resulting Numbers: [22, 15]
Generated Node #3: [22, 15] from Operation: 45/3=15
Current State: 37:[22, 15], Operations: ['81-36=45', '45/3=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
80,
60,
80,
67
] | 67 | [
"80-80=0",
"60*0=0",
"67+0=67"
] | Current State: 67:[80, 60, 80, 67], Operations: []
Exploring Operation: 80-80=0, Resulting Numbers: [60, 67, 0]
Generated Node #2: [60, 67, 0] from Operation: 80-80=0
Current State: 67:[60, 67, 0], Operations: ['80-80=0']
Exploring Operation: 60*0=0, Resulting Numbers: [67, 0]
Generated Node #3: [67, 0] from Operation: 60*0=0
Current State: 67:[67, 0], Operations: ['80-80=0', '60*0=0']
Exploring Operation: 67+0=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
67,
37,
16,
8
] | 29 | [
"67+37=104",
"104/8=13",
"16+13=29"
] | Current State: 29:[67, 37, 16, 8], Operations: []
Exploring Operation: 67+37=104, Resulting Numbers: [16, 8, 104]
Generated Node #2: [16, 8, 104] from Operation: 67+37=104
Current State: 29:[16, 8, 104], Operations: ['67+37=104']
Exploring Operation: 104/8=13, Resulting Numbers: [16, 13]
Generated Node #3: [16, 13] from Operation: 104/8=13
Current State: 29:[16, 13], Operations: ['67+37=104', '104/8=13']
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
30,
35,
92,
88
] | 20 | [
"35-30=5",
"92-88=4",
"5*4=20"
] | Current State: 20:[30, 35, 92, 88], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [92, 88, 5]
Generated Node #2: [92, 88, 5] from Operation: 35-30=5
Current State: 20:[92, 88, 5], Operations: ['35-30=5']
Exploring Operation: 92-88=4, Resulting Numbers: [5, 4]
Generated Node #3: [5, 4] from Operation: 92-88=4
Current State: 20:[5, 4], Operations: ['35-30=5', '92-88=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
54,
74,
34,
10
] | 50 | [
"74-34=40",
"40/10=4",
"54-4=50"
] | Current State: 50:[54, 74, 34, 10], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [54, 10, 40]
Generated Node #2: [54, 10, 40] from Operation: 74-34=40
Current State: 50:[54, 10, 40], Operations: ['74-34=40']
Exploring Operation: 40/10=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 40/10=4
Current State: 50:[54, 4], Operations: ['74-34=40', '40/10=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
70,
96,
50,
58
] | 58 | [
"70+96=166",
"50+58=108",
"166-108=58"
] | Current State: 58:[70, 96, 50, 58], Operations: []
Exploring Operation: 70+96=166, Resulting Numbers: [50, 58, 166]
Generated Node #2: [50, 58, 166] from Operation: 70+96=166
Current State: 58:[50, 58, 166], Operations: ['70+96=166']
Exploring Operation: 50+58=108, Resulting Numbers: [166, 108]
Generated Node #3: [166, 108] from Operation: 50+58=108
Current State: 58:[166, 108], Operations: ['70+96=166', '50+58=108']
Exploring Operation: 166-108=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
15,
3,
8,
3
] | 29 | [
"15+3=18",
"8+3=11",
"18+11=29"
] | Current State: 29:[15, 3, 8, 3], Operations: []
Exploring Operation: 15+3=18, Resulting Numbers: [8, 18]
Generated Node #2: [8, 18] from Operation: 15+3=18
Current State: 29:[8, 18], Operations: ['15+3=18']
Exploring Operation: 8+3=11, Resulting Numbers: [18, 11]
Generated Node #3: [18, 11] from Operation: 8+3=11
Current State: 29:[18, 11], Operations: ['15+3=18', '8+3=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
22,
14,
87,
85
] | 30 | [
"87-85=2",
"22*2=44",
"44-14=30"
] | Current State: 30:[22, 14, 87, 85], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [22, 14, 2]
Generated Node #2: [22, 14, 2] from Operation: 87-85=2
Current State: 30:[22, 14, 2], Operations: ['87-85=2']
Exploring Operation: 22*2=44, Resulting Numbers: [14, 44]
Generated Node #3: [14, 44] from Operation: 22*2=44
Current State: 30:[14, 44], Operations: ['87-85=2', '22*2=44']
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
38,
68,
46,
23
] | 39 | [
"68-38=30",
"46+23=69",
"69-30=39"
] | Current State: 39:[38, 68, 46, 23], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [46, 23, 30]
Generated Node #2: [46, 23, 30] from Operation: 68-38=30
Current State: 39:[46, 23, 30], Operations: ['68-38=30']
Exploring Operation: 46+23=69, Resulting Numbers: [30, 69]
Generated Node #3: [30, 69] from Operation: 46+23=69
Current State: 39:[30, 69], Operations: ['68-38=30', '46+23=69']
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
18,
9,
51,
26
] | 54 | [
"18*51=918",
"26-9=17",
"918/17=54"
] | Current State: 54:[18, 9, 51, 26], Operations: []
Exploring Operation: 18*51=918, Resulting Numbers: [9, 26, 918]
Generated Node #2: [9, 26, 918] from Operation: 18*51=918
Current State: 54:[9, 26, 918], Operations: ['18*51=918']
Exploring Operation: 26-9=17, Resulting Numbers: [918, 17]
Generated Node #3: [918, 17] from Operation: 26-9=17
Current State: 54:[918, 17], Operations: ['18*51=918', '26-9=17']
Exploring Operation: 918/17=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
27,
72,
57,
36
] | 61 | [
"72+36=108",
"108/27=4",
"57+4=61"
] | Current State: 61:[27, 72, 57, 36], Operations: []
Exploring Operation: 72+36=108, Resulting Numbers: [27, 57, 108]
Generated Node #2: [27, 57, 108] from Operation: 72+36=108
Current State: 61:[27, 57, 108], Operations: ['72+36=108']
Exploring Operation: 108/27=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 108/27=4
Current State: 61:[57, 4], Operations: ['72+36=108', '108/27=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
17,
75,
32,
46
] | 14 | [
"17+75=92",
"32+46=78",
"92-78=14"
] | Current State: 14:[17, 75, 32, 46], Operations: []
Exploring Operation: 17+75=92, Resulting Numbers: [32, 46, 92]
Generated Node #2: [32, 46, 92] from Operation: 17+75=92
Current State: 14:[32, 46, 92], Operations: ['17+75=92']
Exploring Operation: 32+46=78, Resulting Numbers: [92, 78]
Generated Node #3: [92, 78] from Operation: 32+46=78
Current State: 14:[92, 78], Operations: ['17+75=92', '32+46=78']
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
28,
53,
77,
35
] | 42 | [
"35-28=7",
"77/7=11",
"53-11=42"
] | Current State: 42:[28, 53, 77, 35], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [53, 77, 7]
Generated Node #2: [53, 77, 7] from Operation: 35-28=7
Current State: 42:[53, 77, 7], Operations: ['35-28=7']
Exploring Operation: 77/7=11, Resulting Numbers: [53, 11]
Generated Node #3: [53, 11] from Operation: 77/7=11
Current State: 42:[53, 11], Operations: ['35-28=7', '77/7=11']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
83,
36,
38,
62
] | 77 | [
"83*36=2988",
"2988-62=2926",
"2926/38=77"
] | Current State: 77:[83, 36, 38, 62], Operations: []
Exploring Operation: 83*36=2988, Resulting Numbers: [38, 62, 2988]
Generated Node #2: [38, 62, 2988] from Operation: 83*36=2988
Current State: 77:[38, 62, 2988], Operations: ['83*36=2988']
Exploring Operation: 2988-62=2926, Resulting Numbers: [38, 2926]
Generated Node #3: [38, 2926] from Operation: 2988-62=2926
Current State: 77:[38, 2926], Operations: ['83*36=2988', '2988-62=2926']
Exploring Operation: 2926/38=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
76,
32,
85,
42
] | 80 | [
"76-42=34",
"32*85=2720",
"2720/34=80"
] | Current State: 80:[76, 32, 85, 42], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [32, 85, 34]
Generated Node #2: [32, 85, 34] from Operation: 76-42=34
Current State: 80:[32, 85, 34], Operations: ['76-42=34']
Exploring Operation: 32*85=2720, Resulting Numbers: [34, 2720]
Generated Node #3: [34, 2720] from Operation: 32*85=2720
Current State: 80:[34, 2720], Operations: ['76-42=34', '32*85=2720']
Exploring Operation: 2720/34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
83,
52,
8,
20
] | 43 | [
"83-52=31",
"20-8=12",
"31+12=43"
] | Current State: 43:[83, 52, 8, 20], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [8, 20, 31]
Generated Node #2: [8, 20, 31] from Operation: 83-52=31
Current State: 43:[8, 20, 31], Operations: ['83-52=31']
Exploring Operation: 20-8=12, Resulting Numbers: [31, 12]
Generated Node #3: [31, 12] from Operation: 20-8=12
Current State: 43:[31, 12], Operations: ['83-52=31', '20-8=12']
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
83,
5,
45,
13
] | 27 | [
"83-45=38",
"5*13=65",
"65-38=27"
] | Current State: 27:[83, 5, 45, 13], Operations: []
Exploring Operation: 83-45=38, Resulting Numbers: [5, 13, 38]
Generated Node #2: [5, 13, 38] from Operation: 83-45=38
Current State: 27:[5, 13, 38], Operations: ['83-45=38']
Exploring Operation: 5*13=65, Resulting Numbers: [38, 65]
Generated Node #3: [38, 65] from Operation: 5*13=65
Current State: 27:[38, 65], Operations: ['83-45=38', '5*13=65']
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
61,
21,
98,
10
] | 48 | [
"61-21=40",
"98-10=88",
"88-40=48"
] | Current State: 48:[61, 21, 98, 10], Operations: []
Exploring Operation: 61-21=40, Resulting Numbers: [98, 10, 40]
Generated Node #2: [98, 10, 40] from Operation: 61-21=40
Current State: 48:[98, 10, 40], Operations: ['61-21=40']
Exploring Operation: 98-10=88, Resulting Numbers: [40, 88]
Generated Node #3: [40, 88] from Operation: 98-10=88
Current State: 48:[40, 88], Operations: ['61-21=40', '98-10=88']
Exploring Operation: 88-40=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
15,
12,
15,
38
] | 26 | [
"15+12=27",
"15+38=53",
"53-27=26"
] | Current State: 26:[15, 12, 15, 38], Operations: []
Exploring Operation: 15+12=27, Resulting Numbers: [38, 27]
Generated Node #2: [38, 27] from Operation: 15+12=27
Current State: 26:[38, 27], Operations: ['15+12=27']
Exploring Operation: 15+38=53, Resulting Numbers: [27, 53]
Generated Node #3: [27, 53] from Operation: 15+38=53
Current State: 26:[27, 53], Operations: ['15+12=27', '15+38=53']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
1,
68,
52,
37
] | 53 | [
"1*68=68",
"52-37=15",
"68-15=53"
] | Current State: 53:[1, 68, 52, 37], Operations: []
Exploring Operation: 1*68=68, Resulting Numbers: [52, 37, 68]
Generated Node #2: [52, 37, 68] from Operation: 1*68=68
Current State: 53:[52, 37, 68], Operations: ['1*68=68']
Exploring Operation: 52-37=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 52-37=15
Current State: 53:[68, 15], Operations: ['1*68=68', '52-37=15']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
60,
33,
2,
8
] | 21 | [
"60-33=27",
"8-2=6",
"27-6=21"
] | Current State: 21:[60, 33, 2, 8], Operations: []
Exploring Operation: 60-33=27, Resulting Numbers: [2, 8, 27]
Generated Node #2: [2, 8, 27] from Operation: 60-33=27
Current State: 21:[2, 8, 27], Operations: ['60-33=27']
Exploring Operation: 8-2=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 8-2=6
Current State: 21:[27, 6], Operations: ['60-33=27', '8-2=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
2,
58,
22,
51
] | 18 | [
"22/2=11",
"58-51=7",
"11+7=18"
] | Current State: 18:[2, 58, 22, 51], Operations: []
Exploring Operation: 22/2=11, Resulting Numbers: [58, 51, 11]
Generated Node #2: [58, 51, 11] from Operation: 22/2=11
Current State: 18:[58, 51, 11], Operations: ['22/2=11']
Exploring Operation: 58-51=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 58-51=7
Current State: 18:[11, 7], Operations: ['22/2=11', '58-51=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
77,
73,
46,
13
] | 55 | [
"77-73=4",
"46+13=59",
"59-4=55"
] | Current State: 55:[77, 73, 46, 13], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [46, 13, 4]
Generated Node #2: [46, 13, 4] from Operation: 77-73=4
Current State: 55:[46, 13, 4], Operations: ['77-73=4']
Exploring Operation: 46+13=59, Resulting Numbers: [4, 59]
Generated Node #3: [4, 59] from Operation: 46+13=59
Current State: 55:[4, 59], Operations: ['77-73=4', '46+13=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
30,
76,
8,
85
] | 24 | [
"76-8=68",
"30*68=2040",
"2040/85=24"
] | Current State: 24:[30, 76, 8, 85], Operations: []
Exploring Operation: 76-8=68, Resulting Numbers: [30, 85, 68]
Generated Node #2: [30, 85, 68] from Operation: 76-8=68
Current State: 24:[30, 85, 68], Operations: ['76-8=68']
Exploring Operation: 30*68=2040, Resulting Numbers: [85, 2040]
Generated Node #3: [85, 2040] from Operation: 30*68=2040
Current State: 24:[85, 2040], Operations: ['76-8=68', '30*68=2040']
Exploring Operation: 2040/85=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
82,
96,
11,
67
] | 92 | [
"96-82=14",
"11+67=78",
"14+78=92"
] | Current State: 92:[82, 96, 11, 67], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [11, 67, 14]
Generated Node #2: [11, 67, 14] from Operation: 96-82=14
Current State: 92:[11, 67, 14], Operations: ['96-82=14']
Exploring Operation: 11+67=78, Resulting Numbers: [14, 78]
Generated Node #3: [14, 78] from Operation: 11+67=78
Current State: 92:[14, 78], Operations: ['96-82=14', '11+67=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
13,
51,
68,
4
] | 65 | [
"13+4=17",
"51/17=3",
"68-3=65"
] | Current State: 65:[13, 51, 68, 4], Operations: []
Exploring Operation: 13+4=17, Resulting Numbers: [51, 68, 17]
Generated Node #2: [51, 68, 17] from Operation: 13+4=17
Current State: 65:[51, 68, 17], Operations: ['13+4=17']
Exploring Operation: 51/17=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 51/17=3
Current State: 65:[68, 3], Operations: ['13+4=17', '51/17=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
98,
42,
42,
2
] | 77 | [
"98-42=56",
"42/2=21",
"56+21=77"
] | Current State: 77:[98, 42, 42, 2], Operations: []
Exploring Operation: 98-42=56, Resulting Numbers: [2, 56]
Generated Node #2: [2, 56] from Operation: 98-42=56
Current State: 77:[2, 56], Operations: ['98-42=56']
Exploring Operation: 42/2=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 42/2=21
Current State: 77:[56, 21], Operations: ['98-42=56', '42/2=21']
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
42,
73,
90,
69
] | 54 | [
"42+73=115",
"90*69=6210",
"6210/115=54"
] | Current State: 54:[42, 73, 90, 69], Operations: []
Exploring Operation: 42+73=115, Resulting Numbers: [90, 69, 115]
Generated Node #2: [90, 69, 115] from Operation: 42+73=115
Current State: 54:[90, 69, 115], Operations: ['42+73=115']
Exploring Operation: 90*69=6210, Resulting Numbers: [115, 6210]
Generated Node #3: [115, 6210] from Operation: 90*69=6210
Current State: 54:[115, 6210], Operations: ['42+73=115', '90*69=6210']
Exploring Operation: 6210/115=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
94,
3,
2,
70
] | 20 | [
"94/2=47",
"70-3=67",
"67-47=20"
] | Current State: 20:[94, 3, 2, 70], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [3, 70, 47]
Generated Node #2: [3, 70, 47] from Operation: 94/2=47
Current State: 20:[3, 70, 47], Operations: ['94/2=47']
Exploring Operation: 70-3=67, Resulting Numbers: [47, 67]
Generated Node #3: [47, 67] from Operation: 70-3=67
Current State: 20:[47, 67], Operations: ['94/2=47', '70-3=67']
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
8,
24,
76,
96
] | 36 | [
"24-8=16",
"96-76=20",
"16+20=36"
] | Current State: 36:[8, 24, 76, 96], Operations: []
Exploring Operation: 24-8=16, Resulting Numbers: [76, 96, 16]
Generated Node #2: [76, 96, 16] from Operation: 24-8=16
Current State: 36:[76, 96, 16], Operations: ['24-8=16']
Exploring Operation: 96-76=20, Resulting Numbers: [16, 20]
Generated Node #3: [16, 20] from Operation: 96-76=20
Current State: 36:[16, 20], Operations: ['24-8=16', '96-76=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
1,
6,
74
] | 34 | [
"6-1=5",
"8*5=40",
"74-40=34"
] | Current State: 34:[8, 1, 6, 74], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [8, 74, 5]
Generated Node #2: [8, 74, 5] from Operation: 6-1=5
Current State: 34:[8, 74, 5], Operations: ['6-1=5']
Exploring Operation: 8*5=40, Resulting Numbers: [74, 40]
Generated Node #3: [74, 40] from Operation: 8*5=40
Current State: 34:[74, 40], Operations: ['6-1=5', '8*5=40']
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
41,
34,
83,
84
] | 74 | [
"41+34=75",
"84-83=1",
"75-1=74"
] | Current State: 74:[41, 34, 83, 84], Operations: []
Exploring Operation: 41+34=75, Resulting Numbers: [83, 84, 75]
Generated Node #2: [83, 84, 75] from Operation: 41+34=75
Current State: 74:[83, 84, 75], Operations: ['41+34=75']
Exploring Operation: 84-83=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 84-83=1
Current State: 74:[75, 1], Operations: ['41+34=75', '84-83=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
93,
10,
22,
35
] | 31 | [
"10+22=32",
"35-32=3",
"93/3=31"
] | Current State: 31:[93, 10, 22, 35], Operations: []
Exploring Operation: 10+22=32, Resulting Numbers: [93, 35, 32]
Generated Node #2: [93, 35, 32] from Operation: 10+22=32
Current State: 31:[93, 35, 32], Operations: ['10+22=32']
Exploring Operation: 35-32=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 35-32=3
Current State: 31:[93, 3], Operations: ['10+22=32', '35-32=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
73,
27,
42,
56
] | 75 | [
"73+27=100",
"42*100=4200",
"4200/56=75"
] | Current State: 75:[73, 27, 42, 56], Operations: []
Exploring Operation: 73+27=100, Resulting Numbers: [42, 56, 100]
Generated Node #2: [42, 56, 100] from Operation: 73+27=100
Current State: 75:[42, 56, 100], Operations: ['73+27=100']
Exploring Operation: 42*100=4200, Resulting Numbers: [56, 4200]
Generated Node #3: [56, 4200] from Operation: 42*100=4200
Current State: 75:[56, 4200], Operations: ['73+27=100', '42*100=4200']
Exploring Operation: 4200/56=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
1,
40,
35,
25
] | 31 | [
"1+40=41",
"35-25=10",
"41-10=31"
] | Current State: 31:[1, 40, 35, 25], Operations: []
Exploring Operation: 1+40=41, Resulting Numbers: [35, 25, 41]
Generated Node #2: [35, 25, 41] from Operation: 1+40=41
Current State: 31:[35, 25, 41], Operations: ['1+40=41']
Exploring Operation: 35-25=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 35-25=10
Current State: 31:[41, 10], Operations: ['1+40=41', '35-25=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
15,
74,
87,
17
] | 19 | [
"15+74=89",
"87-17=70",
"89-70=19"
] | Current State: 19:[15, 74, 87, 17], Operations: []
Exploring Operation: 15+74=89, Resulting Numbers: [87, 17, 89]
Generated Node #2: [87, 17, 89] from Operation: 15+74=89
Current State: 19:[87, 17, 89], Operations: ['15+74=89']
Exploring Operation: 87-17=70, Resulting Numbers: [89, 70]
Generated Node #3: [89, 70] from Operation: 87-17=70
Current State: 19:[89, 70], Operations: ['15+74=89', '87-17=70']
Exploring Operation: 89-70=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
56,
89,
67,
2
] | 55 | [
"56+67=123",
"89*2=178",
"178-123=55"
] | Current State: 55:[56, 89, 67, 2], Operations: []
Exploring Operation: 56+67=123, Resulting Numbers: [89, 2, 123]
Generated Node #2: [89, 2, 123] from Operation: 56+67=123
Current State: 55:[89, 2, 123], Operations: ['56+67=123']
Exploring Operation: 89*2=178, Resulting Numbers: [123, 178]
Generated Node #3: [123, 178] from Operation: 89*2=178
Current State: 55:[123, 178], Operations: ['56+67=123', '89*2=178']
Exploring Operation: 178-123=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
61,
47,
11,
81
] | 84 | [
"61-47=14",
"81-11=70",
"14+70=84"
] | Current State: 84:[61, 47, 11, 81], Operations: []
Exploring Operation: 61-47=14, Resulting Numbers: [11, 81, 14]
Generated Node #2: [11, 81, 14] from Operation: 61-47=14
Current State: 84:[11, 81, 14], Operations: ['61-47=14']
Exploring Operation: 81-11=70, Resulting Numbers: [14, 70]
Generated Node #3: [14, 70] from Operation: 81-11=70
Current State: 84:[14, 70], Operations: ['61-47=14', '81-11=70']
Exploring Operation: 14+70=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
4,
99,
11
] | 33 | [
"10+4=14",
"14-11=3",
"99/3=33"
] | Current State: 33:[10, 4, 99, 11], Operations: []
Exploring Operation: 10+4=14, Resulting Numbers: [99, 11, 14]
Generated Node #2: [99, 11, 14] from Operation: 10+4=14
Current State: 33:[99, 11, 14], Operations: ['10+4=14']
Exploring Operation: 14-11=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 14-11=3
Current State: 33:[99, 3], Operations: ['10+4=14', '14-11=3']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
7,
57,
27,
3
] | 34 | [
"7+57=64",
"27+3=30",
"64-30=34"
] | Current State: 34:[7, 57, 27, 3], Operations: []
Exploring Operation: 7+57=64, Resulting Numbers: [27, 3, 64]
Generated Node #2: [27, 3, 64] from Operation: 7+57=64
Current State: 34:[27, 3, 64], Operations: ['7+57=64']
Exploring Operation: 27+3=30, Resulting Numbers: [64, 30]
Generated Node #3: [64, 30] from Operation: 27+3=30
Current State: 34:[64, 30], Operations: ['7+57=64', '27+3=30']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
2,
23,
11,
8
] | 84 | [
"23+11=34",
"8+34=42",
"2*42=84"
] | Current State: 84:[2, 23, 11, 8], Operations: []
Exploring Operation: 23+11=34, Resulting Numbers: [2, 8, 34]
Generated Node #2: [2, 8, 34] from Operation: 23+11=34
Current State: 84:[2, 8, 34], Operations: ['23+11=34']
Exploring Operation: 8+34=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 8+34=42
Current State: 84:[2, 42], Operations: ['23+11=34', '8+34=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
18,
66,
19,
42
] | 48 | [
"19*42=798",
"66+798=864",
"864/18=48"
] | Current State: 48:[18, 66, 19, 42], Operations: []
Exploring Operation: 19*42=798, Resulting Numbers: [18, 66, 798]
Generated Node #2: [18, 66, 798] from Operation: 19*42=798
Current State: 48:[18, 66, 798], Operations: ['19*42=798']
Exploring Operation: 66+798=864, Resulting Numbers: [18, 864]
Generated Node #3: [18, 864] from Operation: 66+798=864
Current State: 48:[18, 864], Operations: ['19*42=798', '66+798=864']
Exploring Operation: 864/18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
27,
33,
64
] | 74 | [
"27+33=60",
"60/6=10",
"64+10=74"
] | Current State: 74:[6, 27, 33, 64], Operations: []
Exploring Operation: 27+33=60, Resulting Numbers: [6, 64, 60]
Generated Node #2: [6, 64, 60] from Operation: 27+33=60
Current State: 74:[6, 64, 60], Operations: ['27+33=60']
Exploring Operation: 60/6=10, Resulting Numbers: [64, 10]
Generated Node #3: [64, 10] from Operation: 60/6=10
Current State: 74:[64, 10], Operations: ['27+33=60', '60/6=10']
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
1,
96,
50
] | 90 | [
"96-1=95",
"95-50=45",
"2*45=90"
] | Current State: 90:[2, 1, 96, 50], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [2, 50, 95]
Generated Node #2: [2, 50, 95] from Operation: 96-1=95
Current State: 90:[2, 50, 95], Operations: ['96-1=95']
Exploring Operation: 95-50=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 95-50=45
Current State: 90:[2, 45], Operations: ['96-1=95', '95-50=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
27,
27,
9,
44
] | 19 | [
"27+27=54",
"44-9=35",
"54-35=19"
] | Current State: 19:[27, 27, 9, 44], Operations: []
Exploring Operation: 27+27=54, Resulting Numbers: [9, 44, 54]
Generated Node #2: [9, 44, 54] from Operation: 27+27=54
Current State: 19:[9, 44, 54], Operations: ['27+27=54']
Exploring Operation: 44-9=35, Resulting Numbers: [54, 35]
Generated Node #3: [54, 35] from Operation: 44-9=35
Current State: 19:[54, 35], Operations: ['27+27=54', '44-9=35']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
5,
37,
49,
65
] | 58 | [
"5+37=42",
"65-49=16",
"42+16=58"
] | Current State: 58:[5, 37, 49, 65], Operations: []
Exploring Operation: 5+37=42, Resulting Numbers: [49, 65, 42]
Generated Node #2: [49, 65, 42] from Operation: 5+37=42
Current State: 58:[49, 65, 42], Operations: ['5+37=42']
Exploring Operation: 65-49=16, Resulting Numbers: [42, 16]
Generated Node #3: [42, 16] from Operation: 65-49=16
Current State: 58:[42, 16], Operations: ['5+37=42', '65-49=16']
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
1,
24,
77,
10
] | 91 | [
"1*24=24",
"77-10=67",
"24+67=91"
] | Current State: 91:[1, 24, 77, 10], Operations: []
Exploring Operation: 1*24=24, Resulting Numbers: [77, 10, 24]
Generated Node #2: [77, 10, 24] from Operation: 1*24=24
Current State: 91:[77, 10, 24], Operations: ['1*24=24']
Exploring Operation: 77-10=67, Resulting Numbers: [24, 67]
Generated Node #3: [24, 67] from Operation: 77-10=67
Current State: 91:[24, 67], Operations: ['1*24=24', '77-10=67']
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
22,
71,
88,
32
] | 99 | [
"88/22=4",
"71+32=103",
"103-4=99"
] | Current State: 99:[22, 71, 88, 32], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [71, 32, 4]
Generated Node #2: [71, 32, 4] from Operation: 88/22=4
Current State: 99:[71, 32, 4], Operations: ['88/22=4']
Exploring Operation: 71+32=103, Resulting Numbers: [4, 103]
Generated Node #3: [4, 103] from Operation: 71+32=103
Current State: 99:[4, 103], Operations: ['88/22=4', '71+32=103']
Exploring Operation: 103-4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
42,
91,
30,
87
] | 78 | [
"91-87=4",
"30*4=120",
"120-42=78"
] | Current State: 78:[42, 91, 30, 87], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [42, 30, 4]
Generated Node #2: [42, 30, 4] from Operation: 91-87=4
Current State: 78:[42, 30, 4], Operations: ['91-87=4']
Exploring Operation: 30*4=120, Resulting Numbers: [42, 120]
Generated Node #3: [42, 120] from Operation: 30*4=120
Current State: 78:[42, 120], Operations: ['91-87=4', '30*4=120']
Exploring Operation: 120-42=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
18,
95,
2,
42
] | 29 | [
"18+95=113",
"2*42=84",
"113-84=29"
] | Current State: 29:[18, 95, 2, 42], Operations: []
Exploring Operation: 18+95=113, Resulting Numbers: [2, 42, 113]
Generated Node #2: [2, 42, 113] from Operation: 18+95=113
Current State: 29:[2, 42, 113], Operations: ['18+95=113']
Exploring Operation: 2*42=84, Resulting Numbers: [113, 84]
Generated Node #3: [113, 84] from Operation: 2*42=84
Current State: 29:[113, 84], Operations: ['18+95=113', '2*42=84']
Exploring Operation: 113-84=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
9,
55,
72,
2
] | 67 | [
"9+2=11",
"55/11=5",
"72-5=67"
] | Current State: 67:[9, 55, 72, 2], Operations: []
Exploring Operation: 9+2=11, Resulting Numbers: [55, 72, 11]
Generated Node #2: [55, 72, 11] from Operation: 9+2=11
Current State: 67:[55, 72, 11], Operations: ['9+2=11']
Exploring Operation: 55/11=5, Resulting Numbers: [72, 5]
Generated Node #3: [72, 5] from Operation: 55/11=5
Current State: 67:[72, 5], Operations: ['9+2=11', '55/11=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
67,
1,
56,
1
] | 78 | [
"1+1=2",
"67*2=134",
"134-56=78"
] | Current State: 78:[67, 1, 56, 1], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [67, 56, 2]
Generated Node #2: [67, 56, 2] from Operation: 1+1=2
Current State: 78:[67, 56, 2], Operations: ['1+1=2']
Exploring Operation: 67*2=134, Resulting Numbers: [56, 134]
Generated Node #3: [56, 134] from Operation: 67*2=134
Current State: 78:[56, 134], Operations: ['1+1=2', '67*2=134']
Exploring Operation: 134-56=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
58,
76,
2,
80
] | 25 | [
"58/2=29",
"80-76=4",
"29-4=25"
] | Current State: 25:[58, 76, 2, 80], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [76, 80, 29]
Generated Node #2: [76, 80, 29] from Operation: 58/2=29
Current State: 25:[76, 80, 29], Operations: ['58/2=29']
Exploring Operation: 80-76=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 80-76=4
Current State: 25:[29, 4], Operations: ['58/2=29', '80-76=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
9,
72,
62,
3
] | 57 | [
"9+72=81",
"81-62=19",
"3*19=57"
] | Current State: 57:[9, 72, 62, 3], Operations: []
Exploring Operation: 9+72=81, Resulting Numbers: [62, 3, 81]
Generated Node #2: [62, 3, 81] from Operation: 9+72=81
Current State: 57:[62, 3, 81], Operations: ['9+72=81']
Exploring Operation: 81-62=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 81-62=19
Current State: 57:[3, 19], Operations: ['9+72=81', '81-62=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
59,
9,
9,
48
] | 26 | [
"59+48=107",
"9*9=81",
"107-81=26"
] | Current State: 26:[59, 9, 9, 48], Operations: []
Exploring Operation: 59+48=107, Resulting Numbers: [9, 9, 107]
Generated Node #2: [9, 9, 107] from Operation: 59+48=107
Current State: 26:[9, 9, 107], Operations: ['59+48=107']
Exploring Operation: 9*9=81, Resulting Numbers: [107, 81]
Generated Node #3: [107, 81] from Operation: 9*9=81
Current State: 26:[107, 81], Operations: ['59+48=107', '9*9=81']
Exploring Operation: 107-81=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
39,
16,
52,
37
] | 49 | [
"39*16=624",
"624/52=12",
"37+12=49"
] | Current State: 49:[39, 16, 52, 37], Operations: []
Exploring Operation: 39*16=624, Resulting Numbers: [52, 37, 624]
Generated Node #2: [52, 37, 624] from Operation: 39*16=624
Current State: 49:[52, 37, 624], Operations: ['39*16=624']
Exploring Operation: 624/52=12, Resulting Numbers: [37, 12]
Generated Node #3: [37, 12] from Operation: 624/52=12
Current State: 49:[37, 12], Operations: ['39*16=624', '624/52=12']
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
29,
85,
19,
76
] | 60 | [
"85-29=56",
"76/19=4",
"56+4=60"
] | Current State: 60:[29, 85, 19, 76], Operations: []
Exploring Operation: 85-29=56, Resulting Numbers: [19, 76, 56]
Generated Node #2: [19, 76, 56] from Operation: 85-29=56
Current State: 60:[19, 76, 56], Operations: ['85-29=56']
Exploring Operation: 76/19=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 76/19=4
Current State: 60:[56, 4], Operations: ['85-29=56', '76/19=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
58,
30,
26,
42
] | 84 | [
"58-30=28",
"28-26=2",
"42*2=84"
] | Current State: 84:[58, 30, 26, 42], Operations: []
Exploring Operation: 58-30=28, Resulting Numbers: [26, 42, 28]
Generated Node #2: [26, 42, 28] from Operation: 58-30=28
Current State: 84:[26, 42, 28], Operations: ['58-30=28']
Exploring Operation: 28-26=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 28-26=2
Current State: 84:[42, 2], Operations: ['58-30=28', '28-26=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
56,
77,
57,
59
] | 19 | [
"77-56=21",
"59-57=2",
"21-2=19"
] | Current State: 19:[56, 77, 57, 59], Operations: []
Exploring Operation: 77-56=21, Resulting Numbers: [57, 59, 21]
Generated Node #2: [57, 59, 21] from Operation: 77-56=21
Current State: 19:[57, 59, 21], Operations: ['77-56=21']
Exploring Operation: 59-57=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 59-57=2
Current State: 19:[21, 2], Operations: ['77-56=21', '59-57=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
14,
51,
42,
73
] | 19 | [
"42/14=3",
"73-51=22",
"22-3=19"
] | Current State: 19:[14, 51, 42, 73], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [51, 73, 3]
Generated Node #2: [51, 73, 3] from Operation: 42/14=3
Current State: 19:[51, 73, 3], Operations: ['42/14=3']
Exploring Operation: 73-51=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 73-51=22
Current State: 19:[3, 22], Operations: ['42/14=3', '73-51=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
30,
54,
23,
27
] | 90 | [
"23+27=50",
"54*50=2700",
"2700/30=90"
] | Current State: 90:[30, 54, 23, 27], Operations: []
Exploring Operation: 23+27=50, Resulting Numbers: [30, 54, 50]
Generated Node #2: [30, 54, 50] from Operation: 23+27=50
Current State: 90:[30, 54, 50], Operations: ['23+27=50']
Exploring Operation: 54*50=2700, Resulting Numbers: [30, 2700]
Generated Node #3: [30, 2700] from Operation: 54*50=2700
Current State: 90:[30, 2700], Operations: ['23+27=50', '54*50=2700']
Exploring Operation: 2700/30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
73,
10,
25,
39
] | 67 | [
"39-25=14",
"10*14=140",
"140-73=67"
] | Current State: 67:[73, 10, 25, 39], Operations: []
Exploring Operation: 39-25=14, Resulting Numbers: [73, 10, 14]
Generated Node #2: [73, 10, 14] from Operation: 39-25=14
Current State: 67:[73, 10, 14], Operations: ['39-25=14']
Exploring Operation: 10*14=140, Resulting Numbers: [73, 140]
Generated Node #3: [73, 140] from Operation: 10*14=140
Current State: 67:[73, 140], Operations: ['39-25=14', '10*14=140']
Exploring Operation: 140-73=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
77,
37,
77,
57
] | 21 | [
"77/77=1",
"57-37=20",
"1+20=21"
] | Current State: 21:[77, 37, 77, 57], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [37, 57, 1]
Generated Node #2: [37, 57, 1] from Operation: 77/77=1
Current State: 21:[37, 57, 1], Operations: ['77/77=1']
Exploring Operation: 57-37=20, Resulting Numbers: [1, 20]
Generated Node #3: [1, 20] from Operation: 57-37=20
Current State: 21:[1, 20], Operations: ['77/77=1', '57-37=20']
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
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