nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
43,
88,
55
] | 94 | [
"55-43=12",
"12/2=6",
"88+6=94"
] | Current State: 94:[2, 43, 88, 55], Operations: []
Exploring Operation: 55-43=12, Resulting Numbers: [2, 88, 12]
Generated Node #2: [2, 88, 12] from Operation: 55-43=12
Current State: 94:[2, 88, 12], Operations: ['55-43=12']
Exploring Operation: 12/2=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 12/2=6
Current State: 94:[88, 6], Operations: ['55-43=12', '12/2=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
78,
80,
24,
28
] | 64 | [
"78*24=1872",
"1872-80=1792",
"1792/28=64"
] | Current State: 64:[78, 80, 24, 28], Operations: []
Exploring Operation: 78*24=1872, Resulting Numbers: [80, 28, 1872]
Generated Node #2: [80, 28, 1872] from Operation: 78*24=1872
Current State: 64:[80, 28, 1872], Operations: ['78*24=1872']
Exploring Operation: 1872-80=1792, Resulting Numbers: [28, 1792]
Generated Node #3: [28, 1792] from Operation: 1872-80=1792
Current State: 64:[28, 1792], Operations: ['78*24=1872', '1872-80=1792']
Exploring Operation: 1792/28=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
88,
18,
80,
8
] | 24 | [
"88+80=168",
"18*8=144",
"168-144=24"
] | Current State: 24:[88, 18, 80, 8], Operations: []
Exploring Operation: 88+80=168, Resulting Numbers: [18, 8, 168]
Generated Node #2: [18, 8, 168] from Operation: 88+80=168
Current State: 24:[18, 8, 168], Operations: ['88+80=168']
Exploring Operation: 18*8=144, Resulting Numbers: [168, 144]
Generated Node #3: [168, 144] from Operation: 18*8=144
Current State: 24:[168, 144], Operations: ['88+80=168', '18*8=144']
Exploring Operation: 168-144=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
53,
78,
39,
5
] | 60 | [
"53+5=58",
"78/39=2",
"58+2=60"
] | Current State: 60:[53, 78, 39, 5], Operations: []
Exploring Operation: 53+5=58, Resulting Numbers: [78, 39, 58]
Generated Node #2: [78, 39, 58] from Operation: 53+5=58
Current State: 60:[78, 39, 58], Operations: ['53+5=58']
Exploring Operation: 78/39=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 78/39=2
Current State: 60:[58, 2], Operations: ['53+5=58', '78/39=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
73,
36,
18,
76
] | 51 | [
"73+36=109",
"76-18=58",
"109-58=51"
] | Current State: 51:[73, 36, 18, 76], Operations: []
Exploring Operation: 73+36=109, Resulting Numbers: [18, 76, 109]
Generated Node #2: [18, 76, 109] from Operation: 73+36=109
Current State: 51:[18, 76, 109], Operations: ['73+36=109']
Exploring Operation: 76-18=58, Resulting Numbers: [109, 58]
Generated Node #3: [109, 58] from Operation: 76-18=58
Current State: 51:[109, 58], Operations: ['73+36=109', '76-18=58']
Exploring Operation: 109-58=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
28,
15,
88,
84
] | 93 | [
"28*15=420",
"420/84=5",
"88+5=93"
] | Current State: 93:[28, 15, 88, 84], Operations: []
Exploring Operation: 28*15=420, Resulting Numbers: [88, 84, 420]
Generated Node #2: [88, 84, 420] from Operation: 28*15=420
Current State: 93:[88, 84, 420], Operations: ['28*15=420']
Exploring Operation: 420/84=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 420/84=5
Current State: 93:[88, 5], Operations: ['28*15=420', '420/84=5']
Exploring Operation: 88+5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
27,
14,
59,
65
] | 39 | [
"27*65=1755",
"59-14=45",
"1755/45=39"
] | Current State: 39:[27, 14, 59, 65], Operations: []
Exploring Operation: 27*65=1755, Resulting Numbers: [14, 59, 1755]
Generated Node #2: [14, 59, 1755] from Operation: 27*65=1755
Current State: 39:[14, 59, 1755], Operations: ['27*65=1755']
Exploring Operation: 59-14=45, Resulting Numbers: [1755, 45]
Generated Node #3: [1755, 45] from Operation: 59-14=45
Current State: 39:[1755, 45], Operations: ['27*65=1755', '59-14=45']
Exploring Operation: 1755/45=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
85,
21,
2,
17
] | 45 | [
"85-21=64",
"2+17=19",
"64-19=45"
] | Current State: 45:[85, 21, 2, 17], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [2, 17, 64]
Generated Node #2: [2, 17, 64] from Operation: 85-21=64
Current State: 45:[2, 17, 64], Operations: ['85-21=64']
Exploring Operation: 2+17=19, Resulting Numbers: [64, 19]
Generated Node #3: [64, 19] from Operation: 2+17=19
Current State: 45:[64, 19], Operations: ['85-21=64', '2+17=19']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
82,
80,
8,
52
] | 56 | [
"82-80=2",
"8/2=4",
"52+4=56"
] | Current State: 56:[82, 80, 8, 52], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [8, 52, 2]
Generated Node #2: [8, 52, 2] from Operation: 82-80=2
Current State: 56:[8, 52, 2], Operations: ['82-80=2']
Exploring Operation: 8/2=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 8/2=4
Current State: 56:[52, 4], Operations: ['82-80=2', '8/2=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
36,
65,
81,
49
] | 72 | [
"81+49=130",
"36*130=4680",
"4680/65=72"
] | Current State: 72:[36, 65, 81, 49], Operations: []
Exploring Operation: 81+49=130, Resulting Numbers: [36, 65, 130]
Generated Node #2: [36, 65, 130] from Operation: 81+49=130
Current State: 72:[36, 65, 130], Operations: ['81+49=130']
Exploring Operation: 36*130=4680, Resulting Numbers: [65, 4680]
Generated Node #3: [65, 4680] from Operation: 36*130=4680
Current State: 72:[65, 4680], Operations: ['81+49=130', '36*130=4680']
Exploring Operation: 4680/65=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
45,
32,
41,
87
] | 32 | [
"45+41=86",
"87-86=1",
"32*1=32"
] | Current State: 32:[45, 32, 41, 87], Operations: []
Exploring Operation: 45+41=86, Resulting Numbers: [32, 87, 86]
Generated Node #2: [32, 87, 86] from Operation: 45+41=86
Current State: 32:[32, 87, 86], Operations: ['45+41=86']
Exploring Operation: 87-86=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 87-86=1
Current State: 32:[32, 1], Operations: ['45+41=86', '87-86=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
84,
12,
25,
27
] | 70 | [
"84-12=72",
"27-25=2",
"72-2=70"
] | Current State: 70:[84, 12, 25, 27], Operations: []
Exploring Operation: 84-12=72, Resulting Numbers: [25, 27, 72]
Generated Node #2: [25, 27, 72] from Operation: 84-12=72
Current State: 70:[25, 27, 72], Operations: ['84-12=72']
Exploring Operation: 27-25=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 27-25=2
Current State: 70:[72, 2], Operations: ['84-12=72', '27-25=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
67,
18,
86,
88
] | 89 | [
"67+18=85",
"86+88=174",
"174-85=89"
] | Current State: 89:[67, 18, 86, 88], Operations: []
Exploring Operation: 67+18=85, Resulting Numbers: [86, 88, 85]
Generated Node #2: [86, 88, 85] from Operation: 67+18=85
Current State: 89:[86, 88, 85], Operations: ['67+18=85']
Exploring Operation: 86+88=174, Resulting Numbers: [85, 174]
Generated Node #3: [85, 174] from Operation: 86+88=174
Current State: 89:[85, 174], Operations: ['67+18=85', '86+88=174']
Exploring Operation: 174-85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
4,
12,
77,
84
] | 53 | [
"12+84=96",
"96/4=24",
"77-24=53"
] | Current State: 53:[4, 12, 77, 84], Operations: []
Exploring Operation: 12+84=96, Resulting Numbers: [4, 77, 96]
Generated Node #2: [4, 77, 96] from Operation: 12+84=96
Current State: 53:[4, 77, 96], Operations: ['12+84=96']
Exploring Operation: 96/4=24, Resulting Numbers: [77, 24]
Generated Node #3: [77, 24] from Operation: 96/4=24
Current State: 53:[77, 24], Operations: ['12+84=96', '96/4=24']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
27,
2,
6,
45
] | 76 | [
"27-2=25",
"6+45=51",
"25+51=76"
] | Current State: 76:[27, 2, 6, 45], Operations: []
Exploring Operation: 27-2=25, Resulting Numbers: [6, 45, 25]
Generated Node #2: [6, 45, 25] from Operation: 27-2=25
Current State: 76:[6, 45, 25], Operations: ['27-2=25']
Exploring Operation: 6+45=51, Resulting Numbers: [25, 51]
Generated Node #3: [25, 51] from Operation: 6+45=51
Current State: 76:[25, 51], Operations: ['27-2=25', '6+45=51']
Exploring Operation: 25+51=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
6,
70,
30,
16
] | 21 | [
"70-16=54",
"54/6=9",
"30-9=21"
] | Current State: 21:[6, 70, 30, 16], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [6, 30, 54]
Generated Node #2: [6, 30, 54] from Operation: 70-16=54
Current State: 21:[6, 30, 54], Operations: ['70-16=54']
Exploring Operation: 54/6=9, Resulting Numbers: [30, 9]
Generated Node #3: [30, 9] from Operation: 54/6=9
Current State: 21:[30, 9], Operations: ['70-16=54', '54/6=9']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
50,
19,
36,
31
] | 35 | [
"50-19=31",
"31/31=1",
"36-1=35"
] | Current State: 35:[50, 19, 36, 31], Operations: []
Exploring Operation: 50-19=31, Resulting Numbers: [36, 31, 31]
Generated Node #2: [36, 31, 31] from Operation: 50-19=31
Current State: 35:[36, 31, 31], Operations: ['50-19=31']
Exploring Operation: 31/31=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 31/31=1
Current State: 35:[36, 1], Operations: ['50-19=31', '31/31=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
23,
43,
79,
80
] | 65 | [
"23+43=66",
"80-79=1",
"66-1=65"
] | Current State: 65:[23, 43, 79, 80], Operations: []
Exploring Operation: 23+43=66, Resulting Numbers: [79, 80, 66]
Generated Node #2: [79, 80, 66] from Operation: 23+43=66
Current State: 65:[79, 80, 66], Operations: ['23+43=66']
Exploring Operation: 80-79=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 80-79=1
Current State: 65:[66, 1], Operations: ['23+43=66', '80-79=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
82,
27,
30,
18
] | 61 | [
"82+27=109",
"30+18=48",
"109-48=61"
] | Current State: 61:[82, 27, 30, 18], Operations: []
Exploring Operation: 82+27=109, Resulting Numbers: [30, 18, 109]
Generated Node #2: [30, 18, 109] from Operation: 82+27=109
Current State: 61:[30, 18, 109], Operations: ['82+27=109']
Exploring Operation: 30+18=48, Resulting Numbers: [109, 48]
Generated Node #3: [109, 48] from Operation: 30+18=48
Current State: 61:[109, 48], Operations: ['82+27=109', '30+18=48']
Exploring Operation: 109-48=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
21,
83,
79,
20
] | 82 | [
"83-20=63",
"63/21=3",
"79+3=82"
] | Current State: 82:[21, 83, 79, 20], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [21, 79, 63]
Generated Node #2: [21, 79, 63] from Operation: 83-20=63
Current State: 82:[21, 79, 63], Operations: ['83-20=63']
Exploring Operation: 63/21=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 63/21=3
Current State: 82:[79, 3], Operations: ['83-20=63', '63/21=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
71,
68,
36,
93
] | 67 | [
"71-68=3",
"93/3=31",
"36+31=67"
] | Current State: 67:[71, 68, 36, 93], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [36, 93, 3]
Generated Node #2: [36, 93, 3] from Operation: 71-68=3
Current State: 67:[36, 93, 3], Operations: ['71-68=3']
Exploring Operation: 93/3=31, Resulting Numbers: [36, 31]
Generated Node #3: [36, 31] from Operation: 93/3=31
Current State: 67:[36, 31], Operations: ['71-68=3', '93/3=31']
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
49,
28,
42,
77
] | 68 | [
"42+77=119",
"28*119=3332",
"3332/49=68"
] | Current State: 68:[49, 28, 42, 77], Operations: []
Exploring Operation: 42+77=119, Resulting Numbers: [49, 28, 119]
Generated Node #2: [49, 28, 119] from Operation: 42+77=119
Current State: 68:[49, 28, 119], Operations: ['42+77=119']
Exploring Operation: 28*119=3332, Resulting Numbers: [49, 3332]
Generated Node #3: [49, 3332] from Operation: 28*119=3332
Current State: 68:[49, 3332], Operations: ['42+77=119', '28*119=3332']
Exploring Operation: 3332/49=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
89,
93,
21,
3
] | 51 | [
"93-89=4",
"21-4=17",
"3*17=51"
] | Current State: 51:[89, 93, 21, 3], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [21, 3, 4]
Generated Node #2: [21, 3, 4] from Operation: 93-89=4
Current State: 51:[21, 3, 4], Operations: ['93-89=4']
Exploring Operation: 21-4=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 21-4=17
Current State: 51:[3, 17], Operations: ['93-89=4', '21-4=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
64,
4,
12
] | 38 | [
"4-2=2",
"64+12=76",
"76/2=38"
] | Current State: 38:[2, 64, 4, 12], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [64, 12, 2]
Generated Node #2: [64, 12, 2] from Operation: 4-2=2
Current State: 38:[64, 12, 2], Operations: ['4-2=2']
Exploring Operation: 64+12=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 64+12=76
Current State: 38:[2, 76], Operations: ['4-2=2', '64+12=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
24,
37,
75,
99
] | 11 | [
"37-24=13",
"99-75=24",
"24-13=11"
] | Current State: 11:[24, 37, 75, 99], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [75, 99, 13]
Generated Node #2: [75, 99, 13] from Operation: 37-24=13
Current State: 11:[75, 99, 13], Operations: ['37-24=13']
Exploring Operation: 99-75=24, Resulting Numbers: [13, 24]
Generated Node #3: [13, 24] from Operation: 99-75=24
Current State: 11:[13, 24], Operations: ['37-24=13', '99-75=24']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
43,
62,
58,
44
] | 33 | [
"62-43=19",
"58-44=14",
"19+14=33"
] | Current State: 33:[43, 62, 58, 44], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [58, 44, 19]
Generated Node #2: [58, 44, 19] from Operation: 62-43=19
Current State: 33:[58, 44, 19], Operations: ['62-43=19']
Exploring Operation: 58-44=14, Resulting Numbers: [19, 14]
Generated Node #3: [19, 14] from Operation: 58-44=14
Current State: 33:[19, 14], Operations: ['62-43=19', '58-44=14']
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
10,
52,
17,
9
] | 21 | [
"10*9=90",
"52+17=69",
"90-69=21"
] | Current State: 21:[10, 52, 17, 9], Operations: []
Exploring Operation: 10*9=90, Resulting Numbers: [52, 17, 90]
Generated Node #2: [52, 17, 90] from Operation: 10*9=90
Current State: 21:[52, 17, 90], Operations: ['10*9=90']
Exploring Operation: 52+17=69, Resulting Numbers: [90, 69]
Generated Node #3: [90, 69] from Operation: 52+17=69
Current State: 21:[90, 69], Operations: ['10*9=90', '52+17=69']
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
52,
25,
47,
32
] | 62 | [
"52+25=77",
"47-32=15",
"77-15=62"
] | Current State: 62:[52, 25, 47, 32], Operations: []
Exploring Operation: 52+25=77, Resulting Numbers: [47, 32, 77]
Generated Node #2: [47, 32, 77] from Operation: 52+25=77
Current State: 62:[47, 32, 77], Operations: ['52+25=77']
Exploring Operation: 47-32=15, Resulting Numbers: [77, 15]
Generated Node #3: [77, 15] from Operation: 47-32=15
Current State: 62:[77, 15], Operations: ['52+25=77', '47-32=15']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
52,
36,
34,
68
] | 70 | [
"52-34=18",
"36/18=2",
"68+2=70"
] | Current State: 70:[52, 36, 34, 68], Operations: []
Exploring Operation: 52-34=18, Resulting Numbers: [36, 68, 18]
Generated Node #2: [36, 68, 18] from Operation: 52-34=18
Current State: 70:[36, 68, 18], Operations: ['52-34=18']
Exploring Operation: 36/18=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 36/18=2
Current State: 70:[68, 2], Operations: ['52-34=18', '36/18=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
88,
17,
9,
12
] | 49 | [
"88*9=792",
"792/12=66",
"66-17=49"
] | Current State: 49:[88, 17, 9, 12], Operations: []
Exploring Operation: 88*9=792, Resulting Numbers: [17, 12, 792]
Generated Node #2: [17, 12, 792] from Operation: 88*9=792
Current State: 49:[17, 12, 792], Operations: ['88*9=792']
Exploring Operation: 792/12=66, Resulting Numbers: [17, 66]
Generated Node #3: [17, 66] from Operation: 792/12=66
Current State: 49:[17, 66], Operations: ['88*9=792', '792/12=66']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
66,
95,
13
] | 25 | [
"17+66=83",
"95+13=108",
"108-83=25"
] | Current State: 25:[17, 66, 95, 13], Operations: []
Exploring Operation: 17+66=83, Resulting Numbers: [95, 13, 83]
Generated Node #2: [95, 13, 83] from Operation: 17+66=83
Current State: 25:[95, 13, 83], Operations: ['17+66=83']
Exploring Operation: 95+13=108, Resulting Numbers: [83, 108]
Generated Node #3: [83, 108] from Operation: 95+13=108
Current State: 25:[83, 108], Operations: ['17+66=83', '95+13=108']
Exploring Operation: 108-83=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
6,
47,
2,
65
] | 72 | [
"6-2=4",
"65-47=18",
"4*18=72"
] | Current State: 72:[6, 47, 2, 65], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [47, 65, 4]
Generated Node #2: [47, 65, 4] from Operation: 6-2=4
Current State: 72:[47, 65, 4], Operations: ['6-2=4']
Exploring Operation: 65-47=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 65-47=18
Current State: 72:[4, 18], Operations: ['6-2=4', '65-47=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
76,
64,
25,
39
] | 75 | [
"64-25=39",
"39/39=1",
"76-1=75"
] | Current State: 75:[76, 64, 25, 39], Operations: []
Exploring Operation: 64-25=39, Resulting Numbers: [76, 39, 39]
Generated Node #2: [76, 39, 39] from Operation: 64-25=39
Current State: 75:[76, 39, 39], Operations: ['64-25=39']
Exploring Operation: 39/39=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 39/39=1
Current State: 75:[76, 1], Operations: ['64-25=39', '39/39=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
55,
89,
33,
87
] | 86 | [
"89-55=34",
"33+87=120",
"120-34=86"
] | Current State: 86:[55, 89, 33, 87], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [33, 87, 34]
Generated Node #2: [33, 87, 34] from Operation: 89-55=34
Current State: 86:[33, 87, 34], Operations: ['89-55=34']
Exploring Operation: 33+87=120, Resulting Numbers: [34, 120]
Generated Node #3: [34, 120] from Operation: 33+87=120
Current State: 86:[34, 120], Operations: ['89-55=34', '33+87=120']
Exploring Operation: 120-34=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
97,
55,
51,
30
] | 23 | [
"55-51=4",
"30*4=120",
"120-97=23"
] | Current State: 23:[97, 55, 51, 30], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [97, 30, 4]
Generated Node #2: [97, 30, 4] from Operation: 55-51=4
Current State: 23:[97, 30, 4], Operations: ['55-51=4']
Exploring Operation: 30*4=120, Resulting Numbers: [97, 120]
Generated Node #3: [97, 120] from Operation: 30*4=120
Current State: 23:[97, 120], Operations: ['55-51=4', '30*4=120']
Exploring Operation: 120-97=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
2,
53,
41,
33
] | 42 | [
"53-41=12",
"33-12=21",
"2*21=42"
] | Current State: 42:[2, 53, 41, 33], Operations: []
Exploring Operation: 53-41=12, Resulting Numbers: [2, 33, 12]
Generated Node #2: [2, 33, 12] from Operation: 53-41=12
Current State: 42:[2, 33, 12], Operations: ['53-41=12']
Exploring Operation: 33-12=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 33-12=21
Current State: 42:[2, 21], Operations: ['53-41=12', '33-12=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
8,
31,
97,
1
] | 73 | [
"31-8=23",
"97-1=96",
"96-23=73"
] | Current State: 73:[8, 31, 97, 1], Operations: []
Exploring Operation: 31-8=23, Resulting Numbers: [97, 1, 23]
Generated Node #2: [97, 1, 23] from Operation: 31-8=23
Current State: 73:[97, 1, 23], Operations: ['31-8=23']
Exploring Operation: 97-1=96, Resulting Numbers: [23, 96]
Generated Node #3: [23, 96] from Operation: 97-1=96
Current State: 73:[23, 96], Operations: ['31-8=23', '97-1=96']
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
12,
29,
54,
80
] | 43 | [
"29-12=17",
"80-54=26",
"17+26=43"
] | Current State: 43:[12, 29, 54, 80], Operations: []
Exploring Operation: 29-12=17, Resulting Numbers: [54, 80, 17]
Generated Node #2: [54, 80, 17] from Operation: 29-12=17
Current State: 43:[54, 80, 17], Operations: ['29-12=17']
Exploring Operation: 80-54=26, Resulting Numbers: [17, 26]
Generated Node #3: [17, 26] from Operation: 80-54=26
Current State: 43:[17, 26], Operations: ['29-12=17', '80-54=26']
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
54,
78,
31,
74
] | 27 | [
"54+78=132",
"31+74=105",
"132-105=27"
] | Current State: 27:[54, 78, 31, 74], Operations: []
Exploring Operation: 54+78=132, Resulting Numbers: [31, 74, 132]
Generated Node #2: [31, 74, 132] from Operation: 54+78=132
Current State: 27:[31, 74, 132], Operations: ['54+78=132']
Exploring Operation: 31+74=105, Resulting Numbers: [132, 105]
Generated Node #3: [132, 105] from Operation: 31+74=105
Current State: 27:[132, 105], Operations: ['54+78=132', '31+74=105']
Exploring Operation: 132-105=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
10,
1,
20,
79
] | 12 | [
"1+79=80",
"80/10=8",
"20-8=12"
] | Current State: 12:[10, 1, 20, 79], Operations: []
Exploring Operation: 1+79=80, Resulting Numbers: [10, 20, 80]
Generated Node #2: [10, 20, 80] from Operation: 1+79=80
Current State: 12:[10, 20, 80], Operations: ['1+79=80']
Exploring Operation: 80/10=8, Resulting Numbers: [20, 8]
Generated Node #3: [20, 8] from Operation: 80/10=8
Current State: 12:[20, 8], Operations: ['1+79=80', '80/10=8']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
98,
85,
99,
61
] | 51 | [
"98-85=13",
"99-61=38",
"13+38=51"
] | Current State: 51:[98, 85, 99, 61], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [99, 61, 13]
Generated Node #2: [99, 61, 13] from Operation: 98-85=13
Current State: 51:[99, 61, 13], Operations: ['98-85=13']
Exploring Operation: 99-61=38, Resulting Numbers: [13, 38]
Generated Node #3: [13, 38] from Operation: 99-61=38
Current State: 51:[13, 38], Operations: ['98-85=13', '99-61=38']
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
11,
2,
20,
44
] | 15 | [
"11-2=9",
"44-20=24",
"24-9=15"
] | Current State: 15:[11, 2, 20, 44], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [20, 44, 9]
Generated Node #2: [20, 44, 9] from Operation: 11-2=9
Current State: 15:[20, 44, 9], Operations: ['11-2=9']
Exploring Operation: 44-20=24, Resulting Numbers: [9, 24]
Generated Node #3: [9, 24] from Operation: 44-20=24
Current State: 15:[9, 24], Operations: ['11-2=9', '44-20=24']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
33,
19,
57,
96
] | 23 | [
"57-33=24",
"96/24=4",
"19+4=23"
] | Current State: 23:[33, 19, 57, 96], Operations: []
Exploring Operation: 57-33=24, Resulting Numbers: [19, 96, 24]
Generated Node #2: [19, 96, 24] from Operation: 57-33=24
Current State: 23:[19, 96, 24], Operations: ['57-33=24']
Exploring Operation: 96/24=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 96/24=4
Current State: 23:[19, 4], Operations: ['57-33=24', '96/24=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
25,
1,
50,
2
] | 73 | [
"25*1=25",
"50-2=48",
"25+48=73"
] | Current State: 73:[25, 1, 50, 2], Operations: []
Exploring Operation: 25*1=25, Resulting Numbers: [50, 2, 25]
Generated Node #2: [50, 2, 25] from Operation: 25*1=25
Current State: 73:[50, 2, 25], Operations: ['25*1=25']
Exploring Operation: 50-2=48, Resulting Numbers: [25, 48]
Generated Node #3: [25, 48] from Operation: 50-2=48
Current State: 73:[25, 48], Operations: ['25*1=25', '50-2=48']
Exploring Operation: 25+48=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
20,
7,
33,
53
] | 99 | [
"20-7=13",
"33+53=86",
"13+86=99"
] | Current State: 99:[20, 7, 33, 53], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [33, 53, 13]
Generated Node #2: [33, 53, 13] from Operation: 20-7=13
Current State: 99:[33, 53, 13], Operations: ['20-7=13']
Exploring Operation: 33+53=86, Resulting Numbers: [13, 86]
Generated Node #3: [13, 86] from Operation: 33+53=86
Current State: 99:[13, 86], Operations: ['20-7=13', '33+53=86']
Exploring Operation: 13+86=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
19,
25,
11,
28
] | 45 | [
"25-19=6",
"11+28=39",
"6+39=45"
] | Current State: 45:[19, 25, 11, 28], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [11, 28, 6]
Generated Node #2: [11, 28, 6] from Operation: 25-19=6
Current State: 45:[11, 28, 6], Operations: ['25-19=6']
Exploring Operation: 11+28=39, Resulting Numbers: [6, 39]
Generated Node #3: [6, 39] from Operation: 11+28=39
Current State: 45:[6, 39], Operations: ['25-19=6', '11+28=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
55,
52,
52,
8
] | 46 | [
"55-8=47",
"52/52=1",
"47-1=46"
] | Current State: 46:[55, 52, 52, 8], Operations: []
Exploring Operation: 55-8=47, Resulting Numbers: [52, 52, 47]
Generated Node #2: [52, 52, 47] from Operation: 55-8=47
Current State: 46:[52, 52, 47], Operations: ['55-8=47']
Exploring Operation: 52/52=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 52/52=1
Current State: 46:[47, 1], Operations: ['55-8=47', '52/52=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
95,
83,
14,
15
] | 42 | [
"95-83=12",
"15-12=3",
"14*3=42"
] | Current State: 42:[95, 83, 14, 15], Operations: []
Exploring Operation: 95-83=12, Resulting Numbers: [14, 15, 12]
Generated Node #2: [14, 15, 12] from Operation: 95-83=12
Current State: 42:[14, 15, 12], Operations: ['95-83=12']
Exploring Operation: 15-12=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 15-12=3
Current State: 42:[14, 3], Operations: ['95-83=12', '15-12=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
36,
89,
13,
51
] | 11 | [
"89-36=53",
"13+51=64",
"64-53=11"
] | Current State: 11:[36, 89, 13, 51], Operations: []
Exploring Operation: 89-36=53, Resulting Numbers: [13, 51, 53]
Generated Node #2: [13, 51, 53] from Operation: 89-36=53
Current State: 11:[13, 51, 53], Operations: ['89-36=53']
Exploring Operation: 13+51=64, Resulting Numbers: [53, 64]
Generated Node #3: [53, 64] from Operation: 13+51=64
Current State: 11:[53, 64], Operations: ['89-36=53', '13+51=64']
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
58,
64,
87,
92
] | 42 | [
"92-64=28",
"87*28=2436",
"2436/58=42"
] | Current State: 42:[58, 64, 87, 92], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [58, 87, 28]
Generated Node #2: [58, 87, 28] from Operation: 92-64=28
Current State: 42:[58, 87, 28], Operations: ['92-64=28']
Exploring Operation: 87*28=2436, Resulting Numbers: [58, 2436]
Generated Node #3: [58, 2436] from Operation: 87*28=2436
Current State: 42:[58, 2436], Operations: ['92-64=28', '87*28=2436']
Exploring Operation: 2436/58=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
67,
28,
9,
45
] | 15 | [
"67-28=39",
"9+45=54",
"54-39=15"
] | Current State: 15:[67, 28, 9, 45], Operations: []
Exploring Operation: 67-28=39, Resulting Numbers: [9, 45, 39]
Generated Node #2: [9, 45, 39] from Operation: 67-28=39
Current State: 15:[9, 45, 39], Operations: ['67-28=39']
Exploring Operation: 9+45=54, Resulting Numbers: [39, 54]
Generated Node #3: [39, 54] from Operation: 9+45=54
Current State: 15:[39, 54], Operations: ['67-28=39', '9+45=54']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
5,
41,
1,
31
] | 45 | [
"41-1=40",
"40-31=9",
"5*9=45"
] | Current State: 45:[5, 41, 1, 31], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [5, 31, 40]
Generated Node #2: [5, 31, 40] from Operation: 41-1=40
Current State: 45:[5, 31, 40], Operations: ['41-1=40']
Exploring Operation: 40-31=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 40-31=9
Current State: 45:[5, 9], Operations: ['41-1=40', '40-31=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
9,
6,
30,
94
] | 96 | [
"9+6=15",
"30/15=2",
"94+2=96"
] | Current State: 96:[9, 6, 30, 94], Operations: []
Exploring Operation: 9+6=15, Resulting Numbers: [30, 94, 15]
Generated Node #2: [30, 94, 15] from Operation: 9+6=15
Current State: 96:[30, 94, 15], Operations: ['9+6=15']
Exploring Operation: 30/15=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 30/15=2
Current State: 96:[94, 2], Operations: ['9+6=15', '30/15=2']
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
4,
36,
11,
92
] | 28 | [
"4*92=368",
"36*11=396",
"396-368=28"
] | Current State: 28:[4, 36, 11, 92], Operations: []
Exploring Operation: 4*92=368, Resulting Numbers: [36, 11, 368]
Generated Node #2: [36, 11, 368] from Operation: 4*92=368
Current State: 28:[36, 11, 368], Operations: ['4*92=368']
Exploring Operation: 36*11=396, Resulting Numbers: [368, 396]
Generated Node #3: [368, 396] from Operation: 36*11=396
Current State: 28:[368, 396], Operations: ['4*92=368', '36*11=396']
Exploring Operation: 396-368=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
40,
15,
11
] | 23 | [
"48+40=88",
"88/11=8",
"15+8=23"
] | Current State: 23:[48, 40, 15, 11], Operations: []
Exploring Operation: 48+40=88, Resulting Numbers: [15, 11, 88]
Generated Node #2: [15, 11, 88] from Operation: 48+40=88
Current State: 23:[15, 11, 88], Operations: ['48+40=88']
Exploring Operation: 88/11=8, Resulting Numbers: [15, 8]
Generated Node #3: [15, 8] from Operation: 88/11=8
Current State: 23:[15, 8], Operations: ['48+40=88', '88/11=8']
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
24,
31,
45,
3
] | 72 | [
"45-24=21",
"31*3=93",
"93-21=72"
] | Current State: 72:[24, 31, 45, 3], Operations: []
Exploring Operation: 45-24=21, Resulting Numbers: [31, 3, 21]
Generated Node #2: [31, 3, 21] from Operation: 45-24=21
Current State: 72:[31, 3, 21], Operations: ['45-24=21']
Exploring Operation: 31*3=93, Resulting Numbers: [21, 93]
Generated Node #3: [21, 93] from Operation: 31*3=93
Current State: 72:[21, 93], Operations: ['45-24=21', '31*3=93']
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
42,
24,
37,
68
] | 97 | [
"42+24=66",
"68-37=31",
"66+31=97"
] | Current State: 97:[42, 24, 37, 68], Operations: []
Exploring Operation: 42+24=66, Resulting Numbers: [37, 68, 66]
Generated Node #2: [37, 68, 66] from Operation: 42+24=66
Current State: 97:[37, 68, 66], Operations: ['42+24=66']
Exploring Operation: 68-37=31, Resulting Numbers: [66, 31]
Generated Node #3: [66, 31] from Operation: 68-37=31
Current State: 97:[66, 31], Operations: ['42+24=66', '68-37=31']
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
26,
32,
5,
18
] | 64 | [
"26*32=832",
"18-5=13",
"832/13=64"
] | Current State: 64:[26, 32, 5, 18], Operations: []
Exploring Operation: 26*32=832, Resulting Numbers: [5, 18, 832]
Generated Node #2: [5, 18, 832] from Operation: 26*32=832
Current State: 64:[5, 18, 832], Operations: ['26*32=832']
Exploring Operation: 18-5=13, Resulting Numbers: [832, 13]
Generated Node #3: [832, 13] from Operation: 18-5=13
Current State: 64:[832, 13], Operations: ['26*32=832', '18-5=13']
Exploring Operation: 832/13=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
18,
87,
49,
95
] | 95 | [
"95-87=8",
"18*8=144",
"144-49=95"
] | Current State: 95:[18, 87, 49, 95], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [18, 49, 8]
Generated Node #2: [18, 49, 8] from Operation: 95-87=8
Current State: 95:[18, 49, 8], Operations: ['95-87=8']
Exploring Operation: 18*8=144, Resulting Numbers: [49, 144]
Generated Node #3: [49, 144] from Operation: 18*8=144
Current State: 95:[49, 144], Operations: ['95-87=8', '18*8=144']
Exploring Operation: 144-49=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
41,
16,
3,
60
] | 79 | [
"41+16=57",
"57/3=19",
"60+19=79"
] | Current State: 79:[41, 16, 3, 60], Operations: []
Exploring Operation: 41+16=57, Resulting Numbers: [3, 60, 57]
Generated Node #2: [3, 60, 57] from Operation: 41+16=57
Current State: 79:[3, 60, 57], Operations: ['41+16=57']
Exploring Operation: 57/3=19, Resulting Numbers: [60, 19]
Generated Node #3: [60, 19] from Operation: 57/3=19
Current State: 79:[60, 19], Operations: ['41+16=57', '57/3=19']
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
3,
40,
10,
84
] | 31 | [
"3+40=43",
"84-10=74",
"74-43=31"
] | Current State: 31:[3, 40, 10, 84], Operations: []
Exploring Operation: 3+40=43, Resulting Numbers: [10, 84, 43]
Generated Node #2: [10, 84, 43] from Operation: 3+40=43
Current State: 31:[10, 84, 43], Operations: ['3+40=43']
Exploring Operation: 84-10=74, Resulting Numbers: [43, 74]
Generated Node #3: [43, 74] from Operation: 84-10=74
Current State: 31:[43, 74], Operations: ['3+40=43', '84-10=74']
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
34,
72,
67,
46
] | 85 | [
"34+72=106",
"67-46=21",
"106-21=85"
] | Current State: 85:[34, 72, 67, 46], Operations: []
Exploring Operation: 34+72=106, Resulting Numbers: [67, 46, 106]
Generated Node #2: [67, 46, 106] from Operation: 34+72=106
Current State: 85:[67, 46, 106], Operations: ['34+72=106']
Exploring Operation: 67-46=21, Resulting Numbers: [106, 21]
Generated Node #3: [106, 21] from Operation: 67-46=21
Current State: 85:[106, 21], Operations: ['34+72=106', '67-46=21']
Exploring Operation: 106-21=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
40,
73,
63,
44
] | 74 | [
"73-40=33",
"63+44=107",
"107-33=74"
] | Current State: 74:[40, 73, 63, 44], Operations: []
Exploring Operation: 73-40=33, Resulting Numbers: [63, 44, 33]
Generated Node #2: [63, 44, 33] from Operation: 73-40=33
Current State: 74:[63, 44, 33], Operations: ['73-40=33']
Exploring Operation: 63+44=107, Resulting Numbers: [33, 107]
Generated Node #3: [33, 107] from Operation: 63+44=107
Current State: 74:[33, 107], Operations: ['73-40=33', '63+44=107']
Exploring Operation: 107-33=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
12,
37,
14
] | 56 | [
"14/2=7",
"12+37=49",
"7+49=56"
] | Current State: 56:[2, 12, 37, 14], Operations: []
Exploring Operation: 14/2=7, Resulting Numbers: [12, 37, 7]
Generated Node #2: [12, 37, 7] from Operation: 14/2=7
Current State: 56:[12, 37, 7], Operations: ['14/2=7']
Exploring Operation: 12+37=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 12+37=49
Current State: 56:[7, 49], Operations: ['14/2=7', '12+37=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
8,
13,
4,
61
] | 70 | [
"13-8=5",
"4+61=65",
"5+65=70"
] | Current State: 70:[8, 13, 4, 61], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [4, 61, 5]
Generated Node #2: [4, 61, 5] from Operation: 13-8=5
Current State: 70:[4, 61, 5], Operations: ['13-8=5']
Exploring Operation: 4+61=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 4+61=65
Current State: 70:[5, 65], Operations: ['13-8=5', '4+61=65']
Exploring Operation: 5+65=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
54,
59,
68,
31
] | 14 | [
"54+59=113",
"68+31=99",
"113-99=14"
] | Current State: 14:[54, 59, 68, 31], Operations: []
Exploring Operation: 54+59=113, Resulting Numbers: [68, 31, 113]
Generated Node #2: [68, 31, 113] from Operation: 54+59=113
Current State: 14:[68, 31, 113], Operations: ['54+59=113']
Exploring Operation: 68+31=99, Resulting Numbers: [113, 99]
Generated Node #3: [113, 99] from Operation: 68+31=99
Current State: 14:[113, 99], Operations: ['54+59=113', '68+31=99']
Exploring Operation: 113-99=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
37,
40,
75,
90
] | 92 | [
"37+40=77",
"90-75=15",
"77+15=92"
] | Current State: 92:[37, 40, 75, 90], Operations: []
Exploring Operation: 37+40=77, Resulting Numbers: [75, 90, 77]
Generated Node #2: [75, 90, 77] from Operation: 37+40=77
Current State: 92:[75, 90, 77], Operations: ['37+40=77']
Exploring Operation: 90-75=15, Resulting Numbers: [77, 15]
Generated Node #3: [77, 15] from Operation: 90-75=15
Current State: 92:[77, 15], Operations: ['37+40=77', '90-75=15']
Exploring Operation: 77+15=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
9,
55,
19,
67
] | 63 | [
"55+19=74",
"74-67=7",
"9*7=63"
] | Current State: 63:[9, 55, 19, 67], Operations: []
Exploring Operation: 55+19=74, Resulting Numbers: [9, 67, 74]
Generated Node #2: [9, 67, 74] from Operation: 55+19=74
Current State: 63:[9, 67, 74], Operations: ['55+19=74']
Exploring Operation: 74-67=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 74-67=7
Current State: 63:[9, 7], Operations: ['55+19=74', '74-67=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
14,
65,
13,
2
] | 89 | [
"65-14=51",
"2*51=102",
"102-13=89"
] | Current State: 89:[14, 65, 13, 2], Operations: []
Exploring Operation: 65-14=51, Resulting Numbers: [13, 2, 51]
Generated Node #2: [13, 2, 51] from Operation: 65-14=51
Current State: 89:[13, 2, 51], Operations: ['65-14=51']
Exploring Operation: 2*51=102, Resulting Numbers: [13, 102]
Generated Node #3: [13, 102] from Operation: 2*51=102
Current State: 89:[13, 102], Operations: ['65-14=51', '2*51=102']
Exploring Operation: 102-13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
52,
8,
28,
12
] | 49 | [
"8+28=36",
"36/12=3",
"52-3=49"
] | Current State: 49:[52, 8, 28, 12], Operations: []
Exploring Operation: 8+28=36, Resulting Numbers: [52, 12, 36]
Generated Node #2: [52, 12, 36] from Operation: 8+28=36
Current State: 49:[52, 12, 36], Operations: ['8+28=36']
Exploring Operation: 36/12=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 36/12=3
Current State: 49:[52, 3], Operations: ['8+28=36', '36/12=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
57,
29,
18,
33
] | 35 | [
"57+29=86",
"18+33=51",
"86-51=35"
] | Current State: 35:[57, 29, 18, 33], Operations: []
Exploring Operation: 57+29=86, Resulting Numbers: [18, 33, 86]
Generated Node #2: [18, 33, 86] from Operation: 57+29=86
Current State: 35:[18, 33, 86], Operations: ['57+29=86']
Exploring Operation: 18+33=51, Resulting Numbers: [86, 51]
Generated Node #3: [86, 51] from Operation: 18+33=51
Current State: 35:[86, 51], Operations: ['57+29=86', '18+33=51']
Exploring Operation: 86-51=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
54,
55,
93,
3
] | 30 | [
"55-54=1",
"93/3=31",
"31-1=30"
] | Current State: 30:[54, 55, 93, 3], Operations: []
Exploring Operation: 55-54=1, Resulting Numbers: [93, 3, 1]
Generated Node #2: [93, 3, 1] from Operation: 55-54=1
Current State: 30:[93, 3, 1], Operations: ['55-54=1']
Exploring Operation: 93/3=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 93/3=31
Current State: 30:[1, 31], Operations: ['55-54=1', '93/3=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
10,
3,
41,
80
] | 87 | [
"10+41=51",
"80-51=29",
"3*29=87"
] | Current State: 87:[10, 3, 41, 80], Operations: []
Exploring Operation: 10+41=51, Resulting Numbers: [3, 80, 51]
Generated Node #2: [3, 80, 51] from Operation: 10+41=51
Current State: 87:[3, 80, 51], Operations: ['10+41=51']
Exploring Operation: 80-51=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 80-51=29
Current State: 87:[3, 29], Operations: ['10+41=51', '80-51=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
18,
27,
88,
9
] | 67 | [
"88-18=70",
"27/9=3",
"70-3=67"
] | Current State: 67:[18, 27, 88, 9], Operations: []
Exploring Operation: 88-18=70, Resulting Numbers: [27, 9, 70]
Generated Node #2: [27, 9, 70] from Operation: 88-18=70
Current State: 67:[27, 9, 70], Operations: ['88-18=70']
Exploring Operation: 27/9=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 27/9=3
Current State: 67:[70, 3], Operations: ['88-18=70', '27/9=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
7,
5,
24,
8
] | 67 | [
"7*5=35",
"24+8=32",
"35+32=67"
] | Current State: 67:[7, 5, 24, 8], Operations: []
Exploring Operation: 7*5=35, Resulting Numbers: [24, 8, 35]
Generated Node #2: [24, 8, 35] from Operation: 7*5=35
Current State: 67:[24, 8, 35], Operations: ['7*5=35']
Exploring Operation: 24+8=32, Resulting Numbers: [35, 32]
Generated Node #3: [35, 32] from Operation: 24+8=32
Current State: 67:[35, 32], Operations: ['7*5=35', '24+8=32']
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
82,
40,
80,
25
] | 67 | [
"82+40=122",
"80-25=55",
"122-55=67"
] | Current State: 67:[82, 40, 80, 25], Operations: []
Exploring Operation: 82+40=122, Resulting Numbers: [80, 25, 122]
Generated Node #2: [80, 25, 122] from Operation: 82+40=122
Current State: 67:[80, 25, 122], Operations: ['82+40=122']
Exploring Operation: 80-25=55, Resulting Numbers: [122, 55]
Generated Node #3: [122, 55] from Operation: 80-25=55
Current State: 67:[122, 55], Operations: ['82+40=122', '80-25=55']
Exploring Operation: 122-55=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
25,
65,
58,
36
] | 50 | [
"25*58=1450",
"65-36=29",
"1450/29=50"
] | Current State: 50:[25, 65, 58, 36], Operations: []
Exploring Operation: 25*58=1450, Resulting Numbers: [65, 36, 1450]
Generated Node #2: [65, 36, 1450] from Operation: 25*58=1450
Current State: 50:[65, 36, 1450], Operations: ['25*58=1450']
Exploring Operation: 65-36=29, Resulting Numbers: [1450, 29]
Generated Node #3: [1450, 29] from Operation: 65-36=29
Current State: 50:[1450, 29], Operations: ['25*58=1450', '65-36=29']
Exploring Operation: 1450/29=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
10,
22,
4,
5
] | 31 | [
"10+22=32",
"5-4=1",
"32-1=31"
] | Current State: 31:[10, 22, 4, 5], Operations: []
Exploring Operation: 10+22=32, Resulting Numbers: [4, 5, 32]
Generated Node #2: [4, 5, 32] from Operation: 10+22=32
Current State: 31:[4, 5, 32], Operations: ['10+22=32']
Exploring Operation: 5-4=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 5-4=1
Current State: 31:[32, 1], Operations: ['10+22=32', '5-4=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
38,
41,
25,
64
] | 86 | [
"41-38=3",
"25+64=89",
"89-3=86"
] | Current State: 86:[38, 41, 25, 64], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [25, 64, 3]
Generated Node #2: [25, 64, 3] from Operation: 41-38=3
Current State: 86:[25, 64, 3], Operations: ['41-38=3']
Exploring Operation: 25+64=89, Resulting Numbers: [3, 89]
Generated Node #3: [3, 89] from Operation: 25+64=89
Current State: 86:[3, 89], Operations: ['41-38=3', '25+64=89']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
52,
83,
87,
12
] | 49 | [
"87-83=4",
"12/4=3",
"52-3=49"
] | Current State: 49:[52, 83, 87, 12], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [52, 12, 4]
Generated Node #2: [52, 12, 4] from Operation: 87-83=4
Current State: 49:[52, 12, 4], Operations: ['87-83=4']
Exploring Operation: 12/4=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 12/4=3
Current State: 49:[52, 3], Operations: ['87-83=4', '12/4=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
49,
91,
55,
48
] | 20 | [
"49+91=140",
"55-48=7",
"140/7=20"
] | Current State: 20:[49, 91, 55, 48], Operations: []
Exploring Operation: 49+91=140, Resulting Numbers: [55, 48, 140]
Generated Node #2: [55, 48, 140] from Operation: 49+91=140
Current State: 20:[55, 48, 140], Operations: ['49+91=140']
Exploring Operation: 55-48=7, Resulting Numbers: [140, 7]
Generated Node #3: [140, 7] from Operation: 55-48=7
Current State: 20:[140, 7], Operations: ['49+91=140', '55-48=7']
Exploring Operation: 140/7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
36,
74,
18,
66
] | 70 | [
"36/18=2",
"74+66=140",
"140/2=70"
] | Current State: 70:[36, 74, 18, 66], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [74, 66, 2]
Generated Node #2: [74, 66, 2] from Operation: 36/18=2
Current State: 70:[74, 66, 2], Operations: ['36/18=2']
Exploring Operation: 74+66=140, Resulting Numbers: [2, 140]
Generated Node #3: [2, 140] from Operation: 74+66=140
Current State: 70:[2, 140], Operations: ['36/18=2', '74+66=140']
Exploring Operation: 140/2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
53,
44,
2,
4
] | 62 | [
"53-2=51",
"44/4=11",
"51+11=62"
] | Current State: 62:[53, 44, 2, 4], Operations: []
Exploring Operation: 53-2=51, Resulting Numbers: [44, 4, 51]
Generated Node #2: [44, 4, 51] from Operation: 53-2=51
Current State: 62:[44, 4, 51], Operations: ['53-2=51']
Exploring Operation: 44/4=11, Resulting Numbers: [51, 11]
Generated Node #3: [51, 11] from Operation: 44/4=11
Current State: 62:[51, 11], Operations: ['53-2=51', '44/4=11']
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
36,
8,
19,
97
] | 10 | [
"36-19=17",
"97-17=80",
"80/8=10"
] | Current State: 10:[36, 8, 19, 97], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [8, 97, 17]
Generated Node #2: [8, 97, 17] from Operation: 36-19=17
Current State: 10:[8, 97, 17], Operations: ['36-19=17']
Exploring Operation: 97-17=80, Resulting Numbers: [8, 80]
Generated Node #3: [8, 80] from Operation: 97-17=80
Current State: 10:[8, 80], Operations: ['36-19=17', '97-17=80']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
12,
93,
57,
66
] | 96 | [
"12+93=105",
"66-57=9",
"105-9=96"
] | Current State: 96:[12, 93, 57, 66], Operations: []
Exploring Operation: 12+93=105, Resulting Numbers: [57, 66, 105]
Generated Node #2: [57, 66, 105] from Operation: 12+93=105
Current State: 96:[57, 66, 105], Operations: ['12+93=105']
Exploring Operation: 66-57=9, Resulting Numbers: [105, 9]
Generated Node #3: [105, 9] from Operation: 66-57=9
Current State: 96:[105, 9], Operations: ['12+93=105', '66-57=9']
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
37,
51,
56,
87
] | 91 | [
"51-37=14",
"56/14=4",
"87+4=91"
] | Current State: 91:[37, 51, 56, 87], Operations: []
Exploring Operation: 51-37=14, Resulting Numbers: [56, 87, 14]
Generated Node #2: [56, 87, 14] from Operation: 51-37=14
Current State: 91:[56, 87, 14], Operations: ['51-37=14']
Exploring Operation: 56/14=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 56/14=4
Current State: 91:[87, 4], Operations: ['51-37=14', '56/14=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
9,
40,
39,
17
] | 44 | [
"17-9=8",
"40/8=5",
"39+5=44"
] | Current State: 44:[9, 40, 39, 17], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [40, 39, 8]
Generated Node #2: [40, 39, 8] from Operation: 17-9=8
Current State: 44:[40, 39, 8], Operations: ['17-9=8']
Exploring Operation: 40/8=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 40/8=5
Current State: 44:[39, 5], Operations: ['17-9=8', '40/8=5']
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
78,
3,
96,
71
] | 24 | [
"78-3=75",
"75-71=4",
"96/4=24"
] | Current State: 24:[78, 3, 96, 71], Operations: []
Exploring Operation: 78-3=75, Resulting Numbers: [96, 71, 75]
Generated Node #2: [96, 71, 75] from Operation: 78-3=75
Current State: 24:[96, 71, 75], Operations: ['78-3=75']
Exploring Operation: 75-71=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 75-71=4
Current State: 24:[96, 4], Operations: ['78-3=75', '75-71=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
37,
67,
3,
35
] | 73 | [
"37-35=2",
"3*2=6",
"67+6=73"
] | Current State: 73:[37, 67, 3, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [67, 3, 2]
Generated Node #2: [67, 3, 2] from Operation: 37-35=2
Current State: 73:[67, 3, 2], Operations: ['37-35=2']
Exploring Operation: 3*2=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 3*2=6
Current State: 73:[67, 6], Operations: ['37-35=2', '3*2=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
75,
82,
60,
17
] | 50 | [
"82-75=7",
"60-17=43",
"7+43=50"
] | Current State: 50:[75, 82, 60, 17], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [60, 17, 7]
Generated Node #2: [60, 17, 7] from Operation: 82-75=7
Current State: 50:[60, 17, 7], Operations: ['82-75=7']
Exploring Operation: 60-17=43, Resulting Numbers: [7, 43]
Generated Node #3: [7, 43] from Operation: 60-17=43
Current State: 50:[7, 43], Operations: ['82-75=7', '60-17=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
74,
51,
23,
67
] | 81 | [
"74+51=125",
"67-23=44",
"125-44=81"
] | Current State: 81:[74, 51, 23, 67], Operations: []
Exploring Operation: 74+51=125, Resulting Numbers: [23, 67, 125]
Generated Node #2: [23, 67, 125] from Operation: 74+51=125
Current State: 81:[23, 67, 125], Operations: ['74+51=125']
Exploring Operation: 67-23=44, Resulting Numbers: [125, 44]
Generated Node #3: [125, 44] from Operation: 67-23=44
Current State: 81:[125, 44], Operations: ['74+51=125', '67-23=44']
Exploring Operation: 125-44=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
92,
32,
84,
18
] | 99 | [
"92+84=176",
"18*176=3168",
"3168/32=99"
] | Current State: 99:[92, 32, 84, 18], Operations: []
Exploring Operation: 92+84=176, Resulting Numbers: [32, 18, 176]
Generated Node #2: [32, 18, 176] from Operation: 92+84=176
Current State: 99:[32, 18, 176], Operations: ['92+84=176']
Exploring Operation: 18*176=3168, Resulting Numbers: [32, 3168]
Generated Node #3: [32, 3168] from Operation: 18*176=3168
Current State: 99:[32, 3168], Operations: ['92+84=176', '18*176=3168']
Exploring Operation: 3168/32=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
48,
12,
62,
75
] | 93 | [
"62-48=14",
"12*14=168",
"168-75=93"
] | Current State: 93:[48, 12, 62, 75], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [12, 75, 14]
Generated Node #2: [12, 75, 14] from Operation: 62-48=14
Current State: 93:[12, 75, 14], Operations: ['62-48=14']
Exploring Operation: 12*14=168, Resulting Numbers: [75, 168]
Generated Node #3: [75, 168] from Operation: 12*14=168
Current State: 93:[75, 168], Operations: ['62-48=14', '12*14=168']
Exploring Operation: 168-75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
32,
47,
19,
49
] | 16 | [
"47+49=96",
"96/32=3",
"19-3=16"
] | Current State: 16:[32, 47, 19, 49], Operations: []
Exploring Operation: 47+49=96, Resulting Numbers: [32, 19, 96]
Generated Node #2: [32, 19, 96] from Operation: 47+49=96
Current State: 16:[32, 19, 96], Operations: ['47+49=96']
Exploring Operation: 96/32=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 96/32=3
Current State: 16:[19, 3], Operations: ['47+49=96', '96/32=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
50,
59,
19,
52
] | 42 | [
"59-50=9",
"52-19=33",
"9+33=42"
] | Current State: 42:[50, 59, 19, 52], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [19, 52, 9]
Generated Node #2: [19, 52, 9] from Operation: 59-50=9
Current State: 42:[19, 52, 9], Operations: ['59-50=9']
Exploring Operation: 52-19=33, Resulting Numbers: [9, 33]
Generated Node #3: [9, 33] from Operation: 52-19=33
Current State: 42:[9, 33], Operations: ['59-50=9', '52-19=33']
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
27,
95,
43,
42
] | 37 | [
"27+95=122",
"43+42=85",
"122-85=37"
] | Current State: 37:[27, 95, 43, 42], Operations: []
Exploring Operation: 27+95=122, Resulting Numbers: [43, 42, 122]
Generated Node #2: [43, 42, 122] from Operation: 27+95=122
Current State: 37:[43, 42, 122], Operations: ['27+95=122']
Exploring Operation: 43+42=85, Resulting Numbers: [122, 85]
Generated Node #3: [122, 85] from Operation: 43+42=85
Current State: 37:[122, 85], Operations: ['27+95=122', '43+42=85']
Exploring Operation: 122-85=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
65,
18,
7,
70
] | 37 | [
"65-18=47",
"70/7=10",
"47-10=37"
] | Current State: 37:[65, 18, 7, 70], Operations: []
Exploring Operation: 65-18=47, Resulting Numbers: [7, 70, 47]
Generated Node #2: [7, 70, 47] from Operation: 65-18=47
Current State: 37:[7, 70, 47], Operations: ['65-18=47']
Exploring Operation: 70/7=10, Resulting Numbers: [47, 10]
Generated Node #3: [47, 10] from Operation: 70/7=10
Current State: 37:[47, 10], Operations: ['65-18=47', '70/7=10']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
23,
64,
45,
65
] | 68 | [
"23+45=68",
"65-64=1",
"68*1=68"
] | Current State: 68:[23, 64, 45, 65], Operations: []
Exploring Operation: 23+45=68, Resulting Numbers: [64, 65, 68]
Generated Node #2: [64, 65, 68] from Operation: 23+45=68
Current State: 68:[64, 65, 68], Operations: ['23+45=68']
Exploring Operation: 65-64=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 65-64=1
Current State: 68:[68, 1], Operations: ['23+45=68', '65-64=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
19,
42,
7,
10
] | 54 | [
"19-10=9",
"42/7=6",
"9*6=54"
] | Current State: 54:[19, 42, 7, 10], Operations: []
Exploring Operation: 19-10=9, Resulting Numbers: [42, 7, 9]
Generated Node #2: [42, 7, 9] from Operation: 19-10=9
Current State: 54:[42, 7, 9], Operations: ['19-10=9']
Exploring Operation: 42/7=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 42/7=6
Current State: 54:[9, 6], Operations: ['19-10=9', '42/7=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
81,
54,
77,
70
] | 61 | [
"81-70=11",
"77/11=7",
"54+7=61"
] | Current State: 61:[81, 54, 77, 70], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [54, 77, 11]
Generated Node #2: [54, 77, 11] from Operation: 81-70=11
Current State: 61:[54, 77, 11], Operations: ['81-70=11']
Exploring Operation: 77/11=7, Resulting Numbers: [54, 7]
Generated Node #3: [54, 7] from Operation: 77/11=7
Current State: 61:[54, 7], Operations: ['81-70=11', '77/11=7']
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
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