nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
6,
22,
32,
16
] | 42 | [
"6*16=96",
"22+32=54",
"96-54=42"
] | Current State: 42:[6, 22, 32, 16], Operations: []
Exploring Operation: 6*16=96, Resulting Numbers: [22, 32, 96]
Generated Node #2: [22, 32, 96] from Operation: 6*16=96
Current State: 42:[22, 32, 96], Operations: ['6*16=96']
Exploring Operation: 22+32=54, Resulting Numbers: [96, 54]
Generated Node #3: [96, 54] from Operation: 22+32=54
Current State: 42:[96, 54], Operations: ['6*16=96', '22+32=54']
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
90,
28,
80,
6
] | 32 | [
"90+28=118",
"80+6=86",
"118-86=32"
] | Current State: 32:[90, 28, 80, 6], Operations: []
Exploring Operation: 90+28=118, Resulting Numbers: [80, 6, 118]
Generated Node #2: [80, 6, 118] from Operation: 90+28=118
Current State: 32:[80, 6, 118], Operations: ['90+28=118']
Exploring Operation: 80+6=86, Resulting Numbers: [118, 86]
Generated Node #3: [118, 86] from Operation: 80+6=86
Current State: 32:[118, 86], Operations: ['90+28=118', '80+6=86']
Exploring Operation: 118-86=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
83,
15,
85,
2
] | 69 | [
"83+85=168",
"168/2=84",
"84-15=69"
] | Current State: 69:[83, 15, 85, 2], Operations: []
Exploring Operation: 83+85=168, Resulting Numbers: [15, 2, 168]
Generated Node #2: [15, 2, 168] from Operation: 83+85=168
Current State: 69:[15, 2, 168], Operations: ['83+85=168']
Exploring Operation: 168/2=84, Resulting Numbers: [15, 84]
Generated Node #3: [15, 84] from Operation: 168/2=84
Current State: 69:[15, 84], Operations: ['83+85=168', '168/2=84']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
91,
82,
77
] | 83 | [
"91-13=78",
"82-77=5",
"78+5=83"
] | Current State: 83:[13, 91, 82, 77], Operations: []
Exploring Operation: 91-13=78, Resulting Numbers: [82, 77, 78]
Generated Node #2: [82, 77, 78] from Operation: 91-13=78
Current State: 83:[82, 77, 78], Operations: ['91-13=78']
Exploring Operation: 82-77=5, Resulting Numbers: [78, 5]
Generated Node #3: [78, 5] from Operation: 82-77=5
Current State: 83:[78, 5], Operations: ['91-13=78', '82-77=5']
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
49,
18,
6,
33
] | 48 | [
"49-33=16",
"18/6=3",
"16*3=48"
] | Current State: 48:[49, 18, 6, 33], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [18, 6, 16]
Generated Node #2: [18, 6, 16] from Operation: 49-33=16
Current State: 48:[18, 6, 16], Operations: ['49-33=16']
Exploring Operation: 18/6=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 18/6=3
Current State: 48:[16, 3], Operations: ['49-33=16', '18/6=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
41,
82,
91,
12
] | 97 | [
"82/41=2",
"12/2=6",
"91+6=97"
] | Current State: 97:[41, 82, 91, 12], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [91, 12, 2]
Generated Node #2: [91, 12, 2] from Operation: 82/41=2
Current State: 97:[91, 12, 2], Operations: ['82/41=2']
Exploring Operation: 12/2=6, Resulting Numbers: [91, 6]
Generated Node #3: [91, 6] from Operation: 12/2=6
Current State: 97:[91, 6], Operations: ['82/41=2', '12/2=6']
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
2,
8,
46,
67
] | 33 | [
"2*46=92",
"67-8=59",
"92-59=33"
] | Current State: 33:[2, 8, 46, 67], Operations: []
Exploring Operation: 2*46=92, Resulting Numbers: [8, 67, 92]
Generated Node #2: [8, 67, 92] from Operation: 2*46=92
Current State: 33:[8, 67, 92], Operations: ['2*46=92']
Exploring Operation: 67-8=59, Resulting Numbers: [92, 59]
Generated Node #3: [92, 59] from Operation: 67-8=59
Current State: 33:[92, 59], Operations: ['2*46=92', '67-8=59']
Exploring Operation: 92-59=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
14,
20,
7,
6
] | 23 | [
"14/7=2",
"6/2=3",
"20+3=23"
] | Current State: 23:[14, 20, 7, 6], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [20, 6, 2]
Generated Node #2: [20, 6, 2] from Operation: 14/7=2
Current State: 23:[20, 6, 2], Operations: ['14/7=2']
Exploring Operation: 6/2=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 6/2=3
Current State: 23:[20, 3], Operations: ['14/7=2', '6/2=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
49,
4,
73,
2
] | 10 | [
"49+4=53",
"73-53=20",
"20/2=10"
] | Current State: 10:[49, 4, 73, 2], Operations: []
Exploring Operation: 49+4=53, Resulting Numbers: [73, 2, 53]
Generated Node #2: [73, 2, 53] from Operation: 49+4=53
Current State: 10:[73, 2, 53], Operations: ['49+4=53']
Exploring Operation: 73-53=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 73-53=20
Current State: 10:[2, 20], Operations: ['49+4=53', '73-53=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
13,
39,
14,
88
] | 100 | [
"39-13=26",
"88-14=74",
"26+74=100"
] | Current State: 100:[13, 39, 14, 88], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [14, 88, 26]
Generated Node #2: [14, 88, 26] from Operation: 39-13=26
Current State: 100:[14, 88, 26], Operations: ['39-13=26']
Exploring Operation: 88-14=74, Resulting Numbers: [26, 74]
Generated Node #3: [26, 74] from Operation: 88-14=74
Current State: 100:[26, 74], Operations: ['39-13=26', '88-14=74']
Exploring Operation: 26+74=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
62,
29,
4,
75
] | 88 | [
"29+75=104",
"104/4=26",
"62+26=88"
] | Current State: 88:[62, 29, 4, 75], Operations: []
Exploring Operation: 29+75=104, Resulting Numbers: [62, 4, 104]
Generated Node #2: [62, 4, 104] from Operation: 29+75=104
Current State: 88:[62, 4, 104], Operations: ['29+75=104']
Exploring Operation: 104/4=26, Resulting Numbers: [62, 26]
Generated Node #3: [62, 26] from Operation: 104/4=26
Current State: 88:[62, 26], Operations: ['29+75=104', '104/4=26']
Exploring Operation: 62+26=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
30,
7,
54,
10
] | 44 | [
"30/10=3",
"54-7=47",
"47-3=44"
] | Current State: 44:[30, 7, 54, 10], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [7, 54, 3]
Generated Node #2: [7, 54, 3] from Operation: 30/10=3
Current State: 44:[7, 54, 3], Operations: ['30/10=3']
Exploring Operation: 54-7=47, Resulting Numbers: [3, 47]
Generated Node #3: [3, 47] from Operation: 54-7=47
Current State: 44:[3, 47], Operations: ['30/10=3', '54-7=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
53,
5,
88,
34
] | 74 | [
"53-5=48",
"88+34=122",
"122-48=74"
] | Current State: 74:[53, 5, 88, 34], Operations: []
Exploring Operation: 53-5=48, Resulting Numbers: [88, 34, 48]
Generated Node #2: [88, 34, 48] from Operation: 53-5=48
Current State: 74:[88, 34, 48], Operations: ['53-5=48']
Exploring Operation: 88+34=122, Resulting Numbers: [48, 122]
Generated Node #3: [48, 122] from Operation: 88+34=122
Current State: 74:[48, 122], Operations: ['53-5=48', '88+34=122']
Exploring Operation: 122-48=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
14,
74,
12,
38
] | 43 | [
"74-14=60",
"60/12=5",
"38+5=43"
] | Current State: 43:[14, 74, 12, 38], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [12, 38, 60]
Generated Node #2: [12, 38, 60] from Operation: 74-14=60
Current State: 43:[12, 38, 60], Operations: ['74-14=60']
Exploring Operation: 60/12=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 60/12=5
Current State: 43:[38, 5], Operations: ['74-14=60', '60/12=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
49,
68,
56,
58
] | 84 | [
"49*68=3332",
"56*58=3248",
"3332-3248=84"
] | Current State: 84:[49, 68, 56, 58], Operations: []
Exploring Operation: 49*68=3332, Resulting Numbers: [56, 58, 3332]
Generated Node #2: [56, 58, 3332] from Operation: 49*68=3332
Current State: 84:[56, 58, 3332], Operations: ['49*68=3332']
Exploring Operation: 56*58=3248, Resulting Numbers: [3332, 3248]
Generated Node #3: [3332, 3248] from Operation: 56*58=3248
Current State: 84:[3332, 3248], Operations: ['49*68=3332', '56*58=3248']
Exploring Operation: 3332-3248=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
11,
24,
58,
7
] | 63 | [
"11+24=35",
"35/7=5",
"58+5=63"
] | Current State: 63:[11, 24, 58, 7], Operations: []
Exploring Operation: 11+24=35, Resulting Numbers: [58, 7, 35]
Generated Node #2: [58, 7, 35] from Operation: 11+24=35
Current State: 63:[58, 7, 35], Operations: ['11+24=35']
Exploring Operation: 35/7=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 35/7=5
Current State: 63:[58, 5], Operations: ['11+24=35', '35/7=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
45,
93,
62,
81
] | 67 | [
"93-45=48",
"81-62=19",
"48+19=67"
] | Current State: 67:[45, 93, 62, 81], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [62, 81, 48]
Generated Node #2: [62, 81, 48] from Operation: 93-45=48
Current State: 67:[62, 81, 48], Operations: ['93-45=48']
Exploring Operation: 81-62=19, Resulting Numbers: [48, 19]
Generated Node #3: [48, 19] from Operation: 81-62=19
Current State: 67:[48, 19], Operations: ['93-45=48', '81-62=19']
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
34,
54,
65,
2
] | 77 | [
"65-34=31",
"54*2=108",
"108-31=77"
] | Current State: 77:[34, 54, 65, 2], Operations: []
Exploring Operation: 65-34=31, Resulting Numbers: [54, 2, 31]
Generated Node #2: [54, 2, 31] from Operation: 65-34=31
Current State: 77:[54, 2, 31], Operations: ['65-34=31']
Exploring Operation: 54*2=108, Resulting Numbers: [31, 108]
Generated Node #3: [31, 108] from Operation: 54*2=108
Current State: 77:[31, 108], Operations: ['65-34=31', '54*2=108']
Exploring Operation: 108-31=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
46,
42,
80,
69
] | 72 | [
"46+80=126",
"126/42=3",
"69+3=72"
] | Current State: 72:[46, 42, 80, 69], Operations: []
Exploring Operation: 46+80=126, Resulting Numbers: [42, 69, 126]
Generated Node #2: [42, 69, 126] from Operation: 46+80=126
Current State: 72:[42, 69, 126], Operations: ['46+80=126']
Exploring Operation: 126/42=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 126/42=3
Current State: 72:[69, 3], Operations: ['46+80=126', '126/42=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
98,
22,
69,
41
] | 48 | [
"98-22=76",
"69-41=28",
"76-28=48"
] | Current State: 48:[98, 22, 69, 41], Operations: []
Exploring Operation: 98-22=76, Resulting Numbers: [69, 41, 76]
Generated Node #2: [69, 41, 76] from Operation: 98-22=76
Current State: 48:[69, 41, 76], Operations: ['98-22=76']
Exploring Operation: 69-41=28, Resulting Numbers: [76, 28]
Generated Node #3: [76, 28] from Operation: 69-41=28
Current State: 48:[76, 28], Operations: ['98-22=76', '69-41=28']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
57,
27,
42,
20
] | 52 | [
"57-27=30",
"42-20=22",
"30+22=52"
] | Current State: 52:[57, 27, 42, 20], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [42, 20, 30]
Generated Node #2: [42, 20, 30] from Operation: 57-27=30
Current State: 52:[42, 20, 30], Operations: ['57-27=30']
Exploring Operation: 42-20=22, Resulting Numbers: [30, 22]
Generated Node #3: [30, 22] from Operation: 42-20=22
Current State: 52:[30, 22], Operations: ['57-27=30', '42-20=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
10,
57,
3,
43
] | 34 | [
"10+43=53",
"57/3=19",
"53-19=34"
] | Current State: 34:[10, 57, 3, 43], Operations: []
Exploring Operation: 10+43=53, Resulting Numbers: [57, 3, 53]
Generated Node #2: [57, 3, 53] from Operation: 10+43=53
Current State: 34:[57, 3, 53], Operations: ['10+43=53']
Exploring Operation: 57/3=19, Resulting Numbers: [53, 19]
Generated Node #3: [53, 19] from Operation: 57/3=19
Current State: 34:[53, 19], Operations: ['10+43=53', '57/3=19']
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
50,
9,
10,
2
] | 44 | [
"50/2=25",
"9+10=19",
"25+19=44"
] | Current State: 44:[50, 9, 10, 2], Operations: []
Exploring Operation: 50/2=25, Resulting Numbers: [9, 10, 25]
Generated Node #2: [9, 10, 25] from Operation: 50/2=25
Current State: 44:[9, 10, 25], Operations: ['50/2=25']
Exploring Operation: 9+10=19, Resulting Numbers: [25, 19]
Generated Node #3: [25, 19] from Operation: 9+10=19
Current State: 44:[25, 19], Operations: ['50/2=25', '9+10=19']
Exploring Operation: 25+19=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
11,
53,
7,
67
] | 87 | [
"67-53=14",
"7*14=98",
"98-11=87"
] | Current State: 87:[11, 53, 7, 67], Operations: []
Exploring Operation: 67-53=14, Resulting Numbers: [11, 7, 14]
Generated Node #2: [11, 7, 14] from Operation: 67-53=14
Current State: 87:[11, 7, 14], Operations: ['67-53=14']
Exploring Operation: 7*14=98, Resulting Numbers: [11, 98]
Generated Node #3: [11, 98] from Operation: 7*14=98
Current State: 87:[11, 98], Operations: ['67-53=14', '7*14=98']
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
15,
25,
13
] | 47 | [
"24-15=9",
"25+13=38",
"9+38=47"
] | Current State: 47:[24, 15, 25, 13], Operations: []
Exploring Operation: 24-15=9, Resulting Numbers: [25, 13, 9]
Generated Node #2: [25, 13, 9] from Operation: 24-15=9
Current State: 47:[25, 13, 9], Operations: ['24-15=9']
Exploring Operation: 25+13=38, Resulting Numbers: [9, 38]
Generated Node #3: [9, 38] from Operation: 25+13=38
Current State: 47:[9, 38], Operations: ['24-15=9', '25+13=38']
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
45,
64,
29,
27
] | 53 | [
"45+64=109",
"29+27=56",
"109-56=53"
] | Current State: 53:[45, 64, 29, 27], Operations: []
Exploring Operation: 45+64=109, Resulting Numbers: [29, 27, 109]
Generated Node #2: [29, 27, 109] from Operation: 45+64=109
Current State: 53:[29, 27, 109], Operations: ['45+64=109']
Exploring Operation: 29+27=56, Resulting Numbers: [109, 56]
Generated Node #3: [109, 56] from Operation: 29+27=56
Current State: 53:[109, 56], Operations: ['45+64=109', '29+27=56']
Exploring Operation: 109-56=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
78,
64,
44,
81
] | 23 | [
"78-64=14",
"81-44=37",
"37-14=23"
] | Current State: 23:[78, 64, 44, 81], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [44, 81, 14]
Generated Node #2: [44, 81, 14] from Operation: 78-64=14
Current State: 23:[44, 81, 14], Operations: ['78-64=14']
Exploring Operation: 81-44=37, Resulting Numbers: [14, 37]
Generated Node #3: [14, 37] from Operation: 81-44=37
Current State: 23:[14, 37], Operations: ['78-64=14', '81-44=37']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
79,
90,
5,
94
] | 70 | [
"79+90=169",
"5+94=99",
"169-99=70"
] | Current State: 70:[79, 90, 5, 94], Operations: []
Exploring Operation: 79+90=169, Resulting Numbers: [5, 94, 169]
Generated Node #2: [5, 94, 169] from Operation: 79+90=169
Current State: 70:[5, 94, 169], Operations: ['79+90=169']
Exploring Operation: 5+94=99, Resulting Numbers: [169, 99]
Generated Node #3: [169, 99] from Operation: 5+94=99
Current State: 70:[169, 99], Operations: ['79+90=169', '5+94=99']
Exploring Operation: 169-99=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
9,
66,
55,
63
] | 82 | [
"66-63=3",
"9*3=27",
"55+27=82"
] | Current State: 82:[9, 66, 55, 63], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [9, 55, 3]
Generated Node #2: [9, 55, 3] from Operation: 66-63=3
Current State: 82:[9, 55, 3], Operations: ['66-63=3']
Exploring Operation: 9*3=27, Resulting Numbers: [55, 27]
Generated Node #3: [55, 27] from Operation: 9*3=27
Current State: 82:[55, 27], Operations: ['66-63=3', '9*3=27']
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
91,
21,
63,
82
] | 93 | [
"91+21=112",
"82-63=19",
"112-19=93"
] | Current State: 93:[91, 21, 63, 82], Operations: []
Exploring Operation: 91+21=112, Resulting Numbers: [63, 82, 112]
Generated Node #2: [63, 82, 112] from Operation: 91+21=112
Current State: 93:[63, 82, 112], Operations: ['91+21=112']
Exploring Operation: 82-63=19, Resulting Numbers: [112, 19]
Generated Node #3: [112, 19] from Operation: 82-63=19
Current State: 93:[112, 19], Operations: ['91+21=112', '82-63=19']
Exploring Operation: 112-19=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
89,
40,
11,
4
] | 64 | [
"89-40=49",
"11+4=15",
"49+15=64"
] | Current State: 64:[89, 40, 11, 4], Operations: []
Exploring Operation: 89-40=49, Resulting Numbers: [11, 4, 49]
Generated Node #2: [11, 4, 49] from Operation: 89-40=49
Current State: 64:[11, 4, 49], Operations: ['89-40=49']
Exploring Operation: 11+4=15, Resulting Numbers: [49, 15]
Generated Node #3: [49, 15] from Operation: 11+4=15
Current State: 64:[49, 15], Operations: ['89-40=49', '11+4=15']
Exploring Operation: 49+15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
9,
31,
8,
9
] | 41 | [
"9+31=40",
"9-8=1",
"40+1=41"
] | Current State: 41:[9, 31, 8, 9], Operations: []
Exploring Operation: 9+31=40, Resulting Numbers: [8, 40]
Generated Node #2: [8, 40] from Operation: 9+31=40
Current State: 41:[8, 40], Operations: ['9+31=40']
Exploring Operation: 9-8=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 9-8=1
Current State: 41:[40, 1], Operations: ['9+31=40', '9-8=1']
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
61,
69,
24,
40
] | 29 | [
"69-61=8",
"40/8=5",
"24+5=29"
] | Current State: 29:[61, 69, 24, 40], Operations: []
Exploring Operation: 69-61=8, Resulting Numbers: [24, 40, 8]
Generated Node #2: [24, 40, 8] from Operation: 69-61=8
Current State: 29:[24, 40, 8], Operations: ['69-61=8']
Exploring Operation: 40/8=5, Resulting Numbers: [24, 5]
Generated Node #3: [24, 5] from Operation: 40/8=5
Current State: 29:[24, 5], Operations: ['69-61=8', '40/8=5']
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
58,
61,
34,
28
] | 58 | [
"61-34=27",
"28-27=1",
"58*1=58"
] | Current State: 58:[58, 61, 34, 28], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [58, 28, 27]
Generated Node #2: [58, 28, 27] from Operation: 61-34=27
Current State: 58:[58, 28, 27], Operations: ['61-34=27']
Exploring Operation: 28-27=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 28-27=1
Current State: 58:[58, 1], Operations: ['61-34=27', '28-27=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
91,
37,
26,
27
] | 39 | [
"91*27=2457",
"37+26=63",
"2457/63=39"
] | Current State: 39:[91, 37, 26, 27], Operations: []
Exploring Operation: 91*27=2457, Resulting Numbers: [37, 26, 2457]
Generated Node #2: [37, 26, 2457] from Operation: 91*27=2457
Current State: 39:[37, 26, 2457], Operations: ['91*27=2457']
Exploring Operation: 37+26=63, Resulting Numbers: [2457, 63]
Generated Node #3: [2457, 63] from Operation: 37+26=63
Current State: 39:[2457, 63], Operations: ['91*27=2457', '37+26=63']
Exploring Operation: 2457/63=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
64,
36,
81,
89
] | 36 | [
"64-36=28",
"89-81=8",
"28+8=36"
] | Current State: 36:[64, 36, 81, 89], Operations: []
Exploring Operation: 64-36=28, Resulting Numbers: [81, 89, 28]
Generated Node #2: [81, 89, 28] from Operation: 64-36=28
Current State: 36:[81, 89, 28], Operations: ['64-36=28']
Exploring Operation: 89-81=8, Resulting Numbers: [28, 8]
Generated Node #3: [28, 8] from Operation: 89-81=8
Current State: 36:[28, 8], Operations: ['64-36=28', '89-81=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
70,
55,
49,
74
] | 10 | [
"70-55=15",
"74-49=25",
"25-15=10"
] | Current State: 10:[70, 55, 49, 74], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [49, 74, 15]
Generated Node #2: [49, 74, 15] from Operation: 70-55=15
Current State: 10:[49, 74, 15], Operations: ['70-55=15']
Exploring Operation: 74-49=25, Resulting Numbers: [15, 25]
Generated Node #3: [15, 25] from Operation: 74-49=25
Current State: 10:[15, 25], Operations: ['70-55=15', '74-49=25']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
33,
40,
66,
29
] | 18 | [
"66/33=2",
"29*2=58",
"58-40=18"
] | Current State: 18:[33, 40, 66, 29], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [40, 29, 2]
Generated Node #2: [40, 29, 2] from Operation: 66/33=2
Current State: 18:[40, 29, 2], Operations: ['66/33=2']
Exploring Operation: 29*2=58, Resulting Numbers: [40, 58]
Generated Node #3: [40, 58] from Operation: 29*2=58
Current State: 18:[40, 58], Operations: ['66/33=2', '29*2=58']
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
34,
17,
61,
59
] | 19 | [
"34-17=17",
"61-59=2",
"17+2=19"
] | Current State: 19:[34, 17, 61, 59], Operations: []
Exploring Operation: 34-17=17, Resulting Numbers: [61, 59, 17]
Generated Node #2: [61, 59, 17] from Operation: 34-17=17
Current State: 19:[61, 59, 17], Operations: ['34-17=17']
Exploring Operation: 61-59=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 61-59=2
Current State: 19:[17, 2], Operations: ['34-17=17', '61-59=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
88,
30,
45,
89
] | 74 | [
"88+30=118",
"89-45=44",
"118-44=74"
] | Current State: 74:[88, 30, 45, 89], Operations: []
Exploring Operation: 88+30=118, Resulting Numbers: [45, 89, 118]
Generated Node #2: [45, 89, 118] from Operation: 88+30=118
Current State: 74:[45, 89, 118], Operations: ['88+30=118']
Exploring Operation: 89-45=44, Resulting Numbers: [118, 44]
Generated Node #3: [118, 44] from Operation: 89-45=44
Current State: 74:[118, 44], Operations: ['88+30=118', '89-45=44']
Exploring Operation: 118-44=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
40,
80,
3,
26
] | 63 | [
"80-40=40",
"26-3=23",
"40+23=63"
] | Current State: 63:[40, 80, 3, 26], Operations: []
Exploring Operation: 80-40=40, Resulting Numbers: [3, 26, 40]
Generated Node #2: [3, 26, 40] from Operation: 80-40=40
Current State: 63:[3, 26, 40], Operations: ['80-40=40']
Exploring Operation: 26-3=23, Resulting Numbers: [40, 23]
Generated Node #3: [40, 23] from Operation: 26-3=23
Current State: 63:[40, 23], Operations: ['80-40=40', '26-3=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
18,
74,
22,
4
] | 38 | [
"74-18=56",
"22-4=18",
"56-18=38"
] | Current State: 38:[18, 74, 22, 4], Operations: []
Exploring Operation: 74-18=56, Resulting Numbers: [22, 4, 56]
Generated Node #2: [22, 4, 56] from Operation: 74-18=56
Current State: 38:[22, 4, 56], Operations: ['74-18=56']
Exploring Operation: 22-4=18, Resulting Numbers: [56, 18]
Generated Node #3: [56, 18] from Operation: 22-4=18
Current State: 38:[56, 18], Operations: ['74-18=56', '22-4=18']
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
85,
48,
4,
99
] | 26 | [
"99-85=14",
"48/4=12",
"14+12=26"
] | Current State: 26:[85, 48, 4, 99], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [48, 4, 14]
Generated Node #2: [48, 4, 14] from Operation: 99-85=14
Current State: 26:[48, 4, 14], Operations: ['99-85=14']
Exploring Operation: 48/4=12, Resulting Numbers: [14, 12]
Generated Node #3: [14, 12] from Operation: 48/4=12
Current State: 26:[14, 12], Operations: ['99-85=14', '48/4=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
76,
48,
50,
79
] | 57 | [
"76-48=28",
"79-50=29",
"28+29=57"
] | Current State: 57:[76, 48, 50, 79], Operations: []
Exploring Operation: 76-48=28, Resulting Numbers: [50, 79, 28]
Generated Node #2: [50, 79, 28] from Operation: 76-48=28
Current State: 57:[50, 79, 28], Operations: ['76-48=28']
Exploring Operation: 79-50=29, Resulting Numbers: [28, 29]
Generated Node #3: [28, 29] from Operation: 79-50=29
Current State: 57:[28, 29], Operations: ['76-48=28', '79-50=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
49,
30,
8,
97
] | 55 | [
"49-30=19",
"8*19=152",
"152-97=55"
] | Current State: 55:[49, 30, 8, 97], Operations: []
Exploring Operation: 49-30=19, Resulting Numbers: [8, 97, 19]
Generated Node #2: [8, 97, 19] from Operation: 49-30=19
Current State: 55:[8, 97, 19], Operations: ['49-30=19']
Exploring Operation: 8*19=152, Resulting Numbers: [97, 152]
Generated Node #3: [97, 152] from Operation: 8*19=152
Current State: 55:[97, 152], Operations: ['49-30=19', '8*19=152']
Exploring Operation: 152-97=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
53,
56,
46,
68
] | 70 | [
"56-53=3",
"46*3=138",
"138-68=70"
] | Current State: 70:[53, 56, 46, 68], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [46, 68, 3]
Generated Node #2: [46, 68, 3] from Operation: 56-53=3
Current State: 70:[46, 68, 3], Operations: ['56-53=3']
Exploring Operation: 46*3=138, Resulting Numbers: [68, 138]
Generated Node #3: [68, 138] from Operation: 46*3=138
Current State: 70:[68, 138], Operations: ['56-53=3', '46*3=138']
Exploring Operation: 138-68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
41,
42,
25,
27
] | 22 | [
"41-27=14",
"42/14=3",
"25-3=22"
] | Current State: 22:[41, 42, 25, 27], Operations: []
Exploring Operation: 41-27=14, Resulting Numbers: [42, 25, 14]
Generated Node #2: [42, 25, 14] from Operation: 41-27=14
Current State: 22:[42, 25, 14], Operations: ['41-27=14']
Exploring Operation: 42/14=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 42/14=3
Current State: 22:[25, 3], Operations: ['41-27=14', '42/14=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
98,
49,
21,
63
] | 27 | [
"98-49=49",
"21*63=1323",
"1323/49=27"
] | Current State: 27:[98, 49, 21, 63], Operations: []
Exploring Operation: 98-49=49, Resulting Numbers: [21, 63, 49]
Generated Node #2: [21, 63, 49] from Operation: 98-49=49
Current State: 27:[21, 63, 49], Operations: ['98-49=49']
Exploring Operation: 21*63=1323, Resulting Numbers: [49, 1323]
Generated Node #3: [49, 1323] from Operation: 21*63=1323
Current State: 27:[49, 1323], Operations: ['98-49=49', '21*63=1323']
Exploring Operation: 1323/49=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
52,
25,
49,
13
] | 88 | [
"52-49=3",
"25*3=75",
"13+75=88"
] | Current State: 88:[52, 25, 49, 13], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [25, 13, 3]
Generated Node #2: [25, 13, 3] from Operation: 52-49=3
Current State: 88:[25, 13, 3], Operations: ['52-49=3']
Exploring Operation: 25*3=75, Resulting Numbers: [13, 75]
Generated Node #3: [13, 75] from Operation: 25*3=75
Current State: 88:[13, 75], Operations: ['52-49=3', '25*3=75']
Exploring Operation: 13+75=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
33,
63,
71,
21
] | 96 | [
"33-21=12",
"71-63=8",
"12*8=96"
] | Current State: 96:[33, 63, 71, 21], Operations: []
Exploring Operation: 33-21=12, Resulting Numbers: [63, 71, 12]
Generated Node #2: [63, 71, 12] from Operation: 33-21=12
Current State: 96:[63, 71, 12], Operations: ['33-21=12']
Exploring Operation: 71-63=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 71-63=8
Current State: 96:[12, 8], Operations: ['33-21=12', '71-63=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
72,
61,
22,
13
] | 98 | [
"72+61=133",
"22+13=35",
"133-35=98"
] | Current State: 98:[72, 61, 22, 13], Operations: []
Exploring Operation: 72+61=133, Resulting Numbers: [22, 13, 133]
Generated Node #2: [22, 13, 133] from Operation: 72+61=133
Current State: 98:[22, 13, 133], Operations: ['72+61=133']
Exploring Operation: 22+13=35, Resulting Numbers: [133, 35]
Generated Node #3: [133, 35] from Operation: 22+13=35
Current State: 98:[133, 35], Operations: ['72+61=133', '22+13=35']
Exploring Operation: 133-35=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
83,
56,
55,
24
] | 59 | [
"83-24=59",
"56-55=1",
"59*1=59"
] | Current State: 59:[83, 56, 55, 24], Operations: []
Exploring Operation: 83-24=59, Resulting Numbers: [56, 55, 59]
Generated Node #2: [56, 55, 59] from Operation: 83-24=59
Current State: 59:[56, 55, 59], Operations: ['83-24=59']
Exploring Operation: 56-55=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 56-55=1
Current State: 59:[59, 1], Operations: ['83-24=59', '56-55=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
81,
89,
9,
47
] | 51 | [
"81/9=9",
"89-47=42",
"9+42=51"
] | Current State: 51:[81, 89, 9, 47], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [89, 47, 9]
Generated Node #2: [89, 47, 9] from Operation: 81/9=9
Current State: 51:[89, 47, 9], Operations: ['81/9=9']
Exploring Operation: 89-47=42, Resulting Numbers: [9, 42]
Generated Node #3: [9, 42] from Operation: 89-47=42
Current State: 51:[9, 42], Operations: ['81/9=9', '89-47=42']
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
85,
69,
50,
78
] | 44 | [
"85-69=16",
"78-50=28",
"16+28=44"
] | Current State: 44:[85, 69, 50, 78], Operations: []
Exploring Operation: 85-69=16, Resulting Numbers: [50, 78, 16]
Generated Node #2: [50, 78, 16] from Operation: 85-69=16
Current State: 44:[50, 78, 16], Operations: ['85-69=16']
Exploring Operation: 78-50=28, Resulting Numbers: [16, 28]
Generated Node #3: [16, 28] from Operation: 78-50=28
Current State: 44:[16, 28], Operations: ['85-69=16', '78-50=28']
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
41,
41,
5,
35
] | 75 | [
"41+41=82",
"35/5=7",
"82-7=75"
] | Current State: 75:[41, 41, 5, 35], Operations: []
Exploring Operation: 41+41=82, Resulting Numbers: [5, 35, 82]
Generated Node #2: [5, 35, 82] from Operation: 41+41=82
Current State: 75:[5, 35, 82], Operations: ['41+41=82']
Exploring Operation: 35/5=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 35/5=7
Current State: 75:[82, 7], Operations: ['41+41=82', '35/5=7']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
45,
66,
3,
49
] | 100 | [
"45/3=15",
"66+49=115",
"115-15=100"
] | Current State: 100:[45, 66, 3, 49], Operations: []
Exploring Operation: 45/3=15, Resulting Numbers: [66, 49, 15]
Generated Node #2: [66, 49, 15] from Operation: 45/3=15
Current State: 100:[66, 49, 15], Operations: ['45/3=15']
Exploring Operation: 66+49=115, Resulting Numbers: [15, 115]
Generated Node #3: [15, 115] from Operation: 66+49=115
Current State: 100:[15, 115], Operations: ['45/3=15', '66+49=115']
Exploring Operation: 115-15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
19,
66,
60,
37
] | 70 | [
"66-19=47",
"60-37=23",
"47+23=70"
] | Current State: 70:[19, 66, 60, 37], Operations: []
Exploring Operation: 66-19=47, Resulting Numbers: [60, 37, 47]
Generated Node #2: [60, 37, 47] from Operation: 66-19=47
Current State: 70:[60, 37, 47], Operations: ['66-19=47']
Exploring Operation: 60-37=23, Resulting Numbers: [47, 23]
Generated Node #3: [47, 23] from Operation: 60-37=23
Current State: 70:[47, 23], Operations: ['66-19=47', '60-37=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
1,
72,
58,
10
] | 66 | [
"10-1=9",
"72/9=8",
"58+8=66"
] | Current State: 66:[1, 72, 58, 10], Operations: []
Exploring Operation: 10-1=9, Resulting Numbers: [72, 58, 9]
Generated Node #2: [72, 58, 9] from Operation: 10-1=9
Current State: 66:[72, 58, 9], Operations: ['10-1=9']
Exploring Operation: 72/9=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 72/9=8
Current State: 66:[58, 8], Operations: ['10-1=9', '72/9=8']
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
28,
15,
27,
25
] | 65 | [
"28-15=13",
"27+25=52",
"13+52=65"
] | Current State: 65:[28, 15, 27, 25], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [27, 25, 13]
Generated Node #2: [27, 25, 13] from Operation: 28-15=13
Current State: 65:[27, 25, 13], Operations: ['28-15=13']
Exploring Operation: 27+25=52, Resulting Numbers: [13, 52]
Generated Node #3: [13, 52] from Operation: 27+25=52
Current State: 65:[13, 52], Operations: ['28-15=13', '27+25=52']
Exploring Operation: 13+52=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
46,
93,
10,
19
] | 18 | [
"93-46=47",
"10+19=29",
"47-29=18"
] | Current State: 18:[46, 93, 10, 19], Operations: []
Exploring Operation: 93-46=47, Resulting Numbers: [10, 19, 47]
Generated Node #2: [10, 19, 47] from Operation: 93-46=47
Current State: 18:[10, 19, 47], Operations: ['93-46=47']
Exploring Operation: 10+19=29, Resulting Numbers: [47, 29]
Generated Node #3: [47, 29] from Operation: 10+19=29
Current State: 18:[47, 29], Operations: ['93-46=47', '10+19=29']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
34,
21,
85,
2
] | 49 | [
"34-21=13",
"85+13=98",
"98/2=49"
] | Current State: 49:[34, 21, 85, 2], Operations: []
Exploring Operation: 34-21=13, Resulting Numbers: [85, 2, 13]
Generated Node #2: [85, 2, 13] from Operation: 34-21=13
Current State: 49:[85, 2, 13], Operations: ['34-21=13']
Exploring Operation: 85+13=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 85+13=98
Current State: 49:[2, 98], Operations: ['34-21=13', '85+13=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
36,
96,
62,
10
] | 60 | [
"36+96=132",
"62+10=72",
"132-72=60"
] | Current State: 60:[36, 96, 62, 10], Operations: []
Exploring Operation: 36+96=132, Resulting Numbers: [62, 10, 132]
Generated Node #2: [62, 10, 132] from Operation: 36+96=132
Current State: 60:[62, 10, 132], Operations: ['36+96=132']
Exploring Operation: 62+10=72, Resulting Numbers: [132, 72]
Generated Node #3: [132, 72] from Operation: 62+10=72
Current State: 60:[132, 72], Operations: ['36+96=132', '62+10=72']
Exploring Operation: 132-72=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
22,
6,
47,
61
] | 92 | [
"22-6=16",
"47+61=108",
"108-16=92"
] | Current State: 92:[22, 6, 47, 61], Operations: []
Exploring Operation: 22-6=16, Resulting Numbers: [47, 61, 16]
Generated Node #2: [47, 61, 16] from Operation: 22-6=16
Current State: 92:[47, 61, 16], Operations: ['22-6=16']
Exploring Operation: 47+61=108, Resulting Numbers: [16, 108]
Generated Node #3: [16, 108] from Operation: 47+61=108
Current State: 92:[16, 108], Operations: ['22-6=16', '47+61=108']
Exploring Operation: 108-16=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
43,
91,
35,
87
] | 74 | [
"91-43=48",
"35+87=122",
"122-48=74"
] | Current State: 74:[43, 91, 35, 87], Operations: []
Exploring Operation: 91-43=48, Resulting Numbers: [35, 87, 48]
Generated Node #2: [35, 87, 48] from Operation: 91-43=48
Current State: 74:[35, 87, 48], Operations: ['91-43=48']
Exploring Operation: 35+87=122, Resulting Numbers: [48, 122]
Generated Node #3: [48, 122] from Operation: 35+87=122
Current State: 74:[48, 122], Operations: ['91-43=48', '35+87=122']
Exploring Operation: 122-48=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
83,
70,
96,
81
] | 83 | [
"83-81=2",
"70+96=166",
"166/2=83"
] | Current State: 83:[83, 70, 96, 81], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [70, 96, 2]
Generated Node #2: [70, 96, 2] from Operation: 83-81=2
Current State: 83:[70, 96, 2], Operations: ['83-81=2']
Exploring Operation: 70+96=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 70+96=166
Current State: 83:[2, 166], Operations: ['83-81=2', '70+96=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
68,
86,
7,
34
] | 23 | [
"86-68=18",
"7+34=41",
"41-18=23"
] | Current State: 23:[68, 86, 7, 34], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [7, 34, 18]
Generated Node #2: [7, 34, 18] from Operation: 86-68=18
Current State: 23:[7, 34, 18], Operations: ['86-68=18']
Exploring Operation: 7+34=41, Resulting Numbers: [18, 41]
Generated Node #3: [18, 41] from Operation: 7+34=41
Current State: 23:[18, 41], Operations: ['86-68=18', '7+34=41']
Exploring Operation: 41-18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
80,
55,
10
] | 38 | [
"55-9=46",
"80/10=8",
"46-8=38"
] | Current State: 38:[9, 80, 55, 10], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [80, 10, 46]
Generated Node #2: [80, 10, 46] from Operation: 55-9=46
Current State: 38:[80, 10, 46], Operations: ['55-9=46']
Exploring Operation: 80/10=8, Resulting Numbers: [46, 8]
Generated Node #3: [46, 8] from Operation: 80/10=8
Current State: 38:[46, 8], Operations: ['55-9=46', '80/10=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
22,
64,
8,
11
] | 67 | [
"22+64=86",
"8+11=19",
"86-19=67"
] | Current State: 67:[22, 64, 8, 11], Operations: []
Exploring Operation: 22+64=86, Resulting Numbers: [8, 11, 86]
Generated Node #2: [8, 11, 86] from Operation: 22+64=86
Current State: 67:[8, 11, 86], Operations: ['22+64=86']
Exploring Operation: 8+11=19, Resulting Numbers: [86, 19]
Generated Node #3: [86, 19] from Operation: 8+11=19
Current State: 67:[86, 19], Operations: ['22+64=86', '8+11=19']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
76,
29,
53,
8
] | 79 | [
"53-29=24",
"24/8=3",
"76+3=79"
] | Current State: 79:[76, 29, 53, 8], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [76, 8, 24]
Generated Node #2: [76, 8, 24] from Operation: 53-29=24
Current State: 79:[76, 8, 24], Operations: ['53-29=24']
Exploring Operation: 24/8=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 24/8=3
Current State: 79:[76, 3], Operations: ['53-29=24', '24/8=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
40,
64,
39,
66
] | 12 | [
"40*39=1560",
"64+66=130",
"1560/130=12"
] | Current State: 12:[40, 64, 39, 66], Operations: []
Exploring Operation: 40*39=1560, Resulting Numbers: [64, 66, 1560]
Generated Node #2: [64, 66, 1560] from Operation: 40*39=1560
Current State: 12:[64, 66, 1560], Operations: ['40*39=1560']
Exploring Operation: 64+66=130, Resulting Numbers: [1560, 130]
Generated Node #3: [1560, 130] from Operation: 64+66=130
Current State: 12:[1560, 130], Operations: ['40*39=1560', '64+66=130']
Exploring Operation: 1560/130=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
30,
17,
9,
10
] | 50 | [
"17-9=8",
"10*8=80",
"80-30=50"
] | Current State: 50:[30, 17, 9, 10], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [30, 10, 8]
Generated Node #2: [30, 10, 8] from Operation: 17-9=8
Current State: 50:[30, 10, 8], Operations: ['17-9=8']
Exploring Operation: 10*8=80, Resulting Numbers: [30, 80]
Generated Node #3: [30, 80] from Operation: 10*8=80
Current State: 50:[30, 80], Operations: ['17-9=8', '10*8=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
3,
17,
94,
75
] | 74 | [
"94-75=19",
"3*19=57",
"17+57=74"
] | Current State: 74:[3, 17, 94, 75], Operations: []
Exploring Operation: 94-75=19, Resulting Numbers: [3, 17, 19]
Generated Node #2: [3, 17, 19] from Operation: 94-75=19
Current State: 74:[3, 17, 19], Operations: ['94-75=19']
Exploring Operation: 3*19=57, Resulting Numbers: [17, 57]
Generated Node #3: [17, 57] from Operation: 3*19=57
Current State: 74:[17, 57], Operations: ['94-75=19', '3*19=57']
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
52,
8,
24,
3
] | 23 | [
"52-8=44",
"24-3=21",
"44-21=23"
] | Current State: 23:[52, 8, 24, 3], Operations: []
Exploring Operation: 52-8=44, Resulting Numbers: [24, 3, 44]
Generated Node #2: [24, 3, 44] from Operation: 52-8=44
Current State: 23:[24, 3, 44], Operations: ['52-8=44']
Exploring Operation: 24-3=21, Resulting Numbers: [44, 21]
Generated Node #3: [44, 21] from Operation: 24-3=21
Current State: 23:[44, 21], Operations: ['52-8=44', '24-3=21']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
18,
64,
38,
83
] | 75 | [
"64-18=46",
"38+83=121",
"121-46=75"
] | Current State: 75:[18, 64, 38, 83], Operations: []
Exploring Operation: 64-18=46, Resulting Numbers: [38, 83, 46]
Generated Node #2: [38, 83, 46] from Operation: 64-18=46
Current State: 75:[38, 83, 46], Operations: ['64-18=46']
Exploring Operation: 38+83=121, Resulting Numbers: [46, 121]
Generated Node #3: [46, 121] from Operation: 38+83=121
Current State: 75:[46, 121], Operations: ['64-18=46', '38+83=121']
Exploring Operation: 121-46=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
89,
26,
90
] | 34 | [
"89-7=82",
"26+90=116",
"116-82=34"
] | Current State: 34:[7, 89, 26, 90], Operations: []
Exploring Operation: 89-7=82, Resulting Numbers: [26, 90, 82]
Generated Node #2: [26, 90, 82] from Operation: 89-7=82
Current State: 34:[26, 90, 82], Operations: ['89-7=82']
Exploring Operation: 26+90=116, Resulting Numbers: [82, 116]
Generated Node #3: [82, 116] from Operation: 26+90=116
Current State: 34:[82, 116], Operations: ['89-7=82', '26+90=116']
Exploring Operation: 116-82=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
7,
11,
49,
22
] | 54 | [
"7+49=56",
"22/11=2",
"56-2=54"
] | Current State: 54:[7, 11, 49, 22], Operations: []
Exploring Operation: 7+49=56, Resulting Numbers: [11, 22, 56]
Generated Node #2: [11, 22, 56] from Operation: 7+49=56
Current State: 54:[11, 22, 56], Operations: ['7+49=56']
Exploring Operation: 22/11=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 22/11=2
Current State: 54:[56, 2], Operations: ['7+49=56', '22/11=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
83,
41,
72,
24
] | 28 | [
"83+41=124",
"72+24=96",
"124-96=28"
] | Current State: 28:[83, 41, 72, 24], Operations: []
Exploring Operation: 83+41=124, Resulting Numbers: [72, 24, 124]
Generated Node #2: [72, 24, 124] from Operation: 83+41=124
Current State: 28:[72, 24, 124], Operations: ['83+41=124']
Exploring Operation: 72+24=96, Resulting Numbers: [124, 96]
Generated Node #3: [124, 96] from Operation: 72+24=96
Current State: 28:[124, 96], Operations: ['83+41=124', '72+24=96']
Exploring Operation: 124-96=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
96,
21,
96
] | 73 | [
"96/48=2",
"96-21=75",
"75-2=73"
] | Current State: 73:[48, 96, 21, 96], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [21, 2]
Generated Node #2: [21, 2] from Operation: 96/48=2
Current State: 73:[21, 2], Operations: ['96/48=2']
Exploring Operation: 96-21=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 96-21=75
Current State: 73:[2, 75], Operations: ['96/48=2', '96-21=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
31,
22,
76,
3
] | 69 | [
"31+22=53",
"76-53=23",
"3*23=69"
] | Current State: 69:[31, 22, 76, 3], Operations: []
Exploring Operation: 31+22=53, Resulting Numbers: [76, 3, 53]
Generated Node #2: [76, 3, 53] from Operation: 31+22=53
Current State: 69:[76, 3, 53], Operations: ['31+22=53']
Exploring Operation: 76-53=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 76-53=23
Current State: 69:[3, 23], Operations: ['31+22=53', '76-53=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
83,
94,
84,
14
] | 59 | [
"94-83=11",
"84-14=70",
"70-11=59"
] | Current State: 59:[83, 94, 84, 14], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [84, 14, 11]
Generated Node #2: [84, 14, 11] from Operation: 94-83=11
Current State: 59:[84, 14, 11], Operations: ['94-83=11']
Exploring Operation: 84-14=70, Resulting Numbers: [11, 70]
Generated Node #3: [11, 70] from Operation: 84-14=70
Current State: 59:[11, 70], Operations: ['94-83=11', '84-14=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
45,
47,
30,
22
] | 50 | [
"47-45=2",
"30+22=52",
"52-2=50"
] | Current State: 50:[45, 47, 30, 22], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [30, 22, 2]
Generated Node #2: [30, 22, 2] from Operation: 47-45=2
Current State: 50:[30, 22, 2], Operations: ['47-45=2']
Exploring Operation: 30+22=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 30+22=52
Current State: 50:[2, 52], Operations: ['47-45=2', '30+22=52']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
50,
60,
30,
82
] | 85 | [
"60-50=10",
"30/10=3",
"82+3=85"
] | Current State: 85:[50, 60, 30, 82], Operations: []
Exploring Operation: 60-50=10, Resulting Numbers: [30, 82, 10]
Generated Node #2: [30, 82, 10] from Operation: 60-50=10
Current State: 85:[30, 82, 10], Operations: ['60-50=10']
Exploring Operation: 30/10=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 30/10=3
Current State: 85:[82, 3], Operations: ['60-50=10', '30/10=3']
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
38,
20,
76,
56
] | 39 | [
"76-20=56",
"56/56=1",
"38+1=39"
] | Current State: 39:[38, 20, 76, 56], Operations: []
Exploring Operation: 76-20=56, Resulting Numbers: [38, 56, 56]
Generated Node #2: [38, 56, 56] from Operation: 76-20=56
Current State: 39:[38, 56, 56], Operations: ['76-20=56']
Exploring Operation: 56/56=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 56/56=1
Current State: 39:[38, 1], Operations: ['76-20=56', '56/56=1']
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
28,
26,
8,
72
] | 78 | [
"28-26=2",
"8+72=80",
"80-2=78"
] | Current State: 78:[28, 26, 8, 72], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [8, 72, 2]
Generated Node #2: [8, 72, 2] from Operation: 28-26=2
Current State: 78:[8, 72, 2], Operations: ['28-26=2']
Exploring Operation: 8+72=80, Resulting Numbers: [2, 80]
Generated Node #3: [2, 80] from Operation: 8+72=80
Current State: 78:[2, 80], Operations: ['28-26=2', '8+72=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
86,
85,
22,
4
] | 19 | [
"86-85=1",
"22-4=18",
"1+18=19"
] | Current State: 19:[86, 85, 22, 4], Operations: []
Exploring Operation: 86-85=1, Resulting Numbers: [22, 4, 1]
Generated Node #2: [22, 4, 1] from Operation: 86-85=1
Current State: 19:[22, 4, 1], Operations: ['86-85=1']
Exploring Operation: 22-4=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 22-4=18
Current State: 19:[1, 18], Operations: ['86-85=1', '22-4=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
98,
44,
98,
62
] | 62 | [
"98-98=0",
"44*0=0",
"62+0=62"
] | Current State: 62:[98, 44, 98, 62], Operations: []
Exploring Operation: 98-98=0, Resulting Numbers: [44, 62, 0]
Generated Node #2: [44, 62, 0] from Operation: 98-98=0
Current State: 62:[44, 62, 0], Operations: ['98-98=0']
Exploring Operation: 44*0=0, Resulting Numbers: [62, 0]
Generated Node #3: [62, 0] from Operation: 44*0=0
Current State: 62:[62, 0], Operations: ['98-98=0', '44*0=0']
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
78,
77,
95,
76
] | 93 | [
"78+76=154",
"154/77=2",
"95-2=93"
] | Current State: 93:[78, 77, 95, 76], Operations: []
Exploring Operation: 78+76=154, Resulting Numbers: [77, 95, 154]
Generated Node #2: [77, 95, 154] from Operation: 78+76=154
Current State: 93:[77, 95, 154], Operations: ['78+76=154']
Exploring Operation: 154/77=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 154/77=2
Current State: 93:[95, 2], Operations: ['78+76=154', '154/77=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
49,
30,
26,
32
] | 41 | [
"30-26=4",
"32/4=8",
"49-8=41"
] | Current State: 41:[49, 30, 26, 32], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [49, 32, 4]
Generated Node #2: [49, 32, 4] from Operation: 30-26=4
Current State: 41:[49, 32, 4], Operations: ['30-26=4']
Exploring Operation: 32/4=8, Resulting Numbers: [49, 8]
Generated Node #3: [49, 8] from Operation: 32/4=8
Current State: 41:[49, 8], Operations: ['30-26=4', '32/4=8']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
37,
7,
22,
49
] | 22 | [
"37-22=15",
"49/7=7",
"15+7=22"
] | Current State: 22:[37, 7, 22, 49], Operations: []
Exploring Operation: 37-22=15, Resulting Numbers: [7, 49, 15]
Generated Node #2: [7, 49, 15] from Operation: 37-22=15
Current State: 22:[7, 49, 15], Operations: ['37-22=15']
Exploring Operation: 49/7=7, Resulting Numbers: [15, 7]
Generated Node #3: [15, 7] from Operation: 49/7=7
Current State: 22:[15, 7], Operations: ['37-22=15', '49/7=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
62,
8,
95,
83
] | 73 | [
"83-62=21",
"8*21=168",
"168-95=73"
] | Current State: 73:[62, 8, 95, 83], Operations: []
Exploring Operation: 83-62=21, Resulting Numbers: [8, 95, 21]
Generated Node #2: [8, 95, 21] from Operation: 83-62=21
Current State: 73:[8, 95, 21], Operations: ['83-62=21']
Exploring Operation: 8*21=168, Resulting Numbers: [95, 168]
Generated Node #3: [95, 168] from Operation: 8*21=168
Current State: 73:[95, 168], Operations: ['83-62=21', '8*21=168']
Exploring Operation: 168-95=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
49,
28,
88,
78
] | 89 | [
"49+28=77",
"88+78=166",
"166-77=89"
] | Current State: 89:[49, 28, 88, 78], Operations: []
Exploring Operation: 49+28=77, Resulting Numbers: [88, 78, 77]
Generated Node #2: [88, 78, 77] from Operation: 49+28=77
Current State: 89:[88, 78, 77], Operations: ['49+28=77']
Exploring Operation: 88+78=166, Resulting Numbers: [77, 166]
Generated Node #3: [77, 166] from Operation: 88+78=166
Current State: 89:[77, 166], Operations: ['49+28=77', '88+78=166']
Exploring Operation: 166-77=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
12,
26,
4,
40
] | 21 | [
"12-4=8",
"40/8=5",
"26-5=21"
] | Current State: 21:[12, 26, 4, 40], Operations: []
Exploring Operation: 12-4=8, Resulting Numbers: [26, 40, 8]
Generated Node #2: [26, 40, 8] from Operation: 12-4=8
Current State: 21:[26, 40, 8], Operations: ['12-4=8']
Exploring Operation: 40/8=5, Resulting Numbers: [26, 5]
Generated Node #3: [26, 5] from Operation: 40/8=5
Current State: 21:[26, 5], Operations: ['12-4=8', '40/8=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
17,
2,
53,
28
] | 67 | [
"53-28=25",
"2*25=50",
"17+50=67"
] | Current State: 67:[17, 2, 53, 28], Operations: []
Exploring Operation: 53-28=25, Resulting Numbers: [17, 2, 25]
Generated Node #2: [17, 2, 25] from Operation: 53-28=25
Current State: 67:[17, 2, 25], Operations: ['53-28=25']
Exploring Operation: 2*25=50, Resulting Numbers: [17, 50]
Generated Node #3: [17, 50] from Operation: 2*25=50
Current State: 67:[17, 50], Operations: ['53-28=25', '2*25=50']
Exploring Operation: 17+50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
34,
38,
13,
93
] | 62 | [
"34*93=3162",
"38+13=51",
"3162/51=62"
] | Current State: 62:[34, 38, 13, 93], Operations: []
Exploring Operation: 34*93=3162, Resulting Numbers: [38, 13, 3162]
Generated Node #2: [38, 13, 3162] from Operation: 34*93=3162
Current State: 62:[38, 13, 3162], Operations: ['34*93=3162']
Exploring Operation: 38+13=51, Resulting Numbers: [3162, 51]
Generated Node #3: [3162, 51] from Operation: 38+13=51
Current State: 62:[3162, 51], Operations: ['34*93=3162', '38+13=51']
Exploring Operation: 3162/51=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
84,
94,
19,
30
] | 21 | [
"94-84=10",
"30-19=11",
"10+11=21"
] | Current State: 21:[84, 94, 19, 30], Operations: []
Exploring Operation: 94-84=10, Resulting Numbers: [19, 30, 10]
Generated Node #2: [19, 30, 10] from Operation: 94-84=10
Current State: 21:[19, 30, 10], Operations: ['94-84=10']
Exploring Operation: 30-19=11, Resulting Numbers: [10, 11]
Generated Node #3: [10, 11] from Operation: 30-19=11
Current State: 21:[10, 11], Operations: ['94-84=10', '30-19=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
45,
50,
59,
98
] | 57 | [
"59-45=14",
"98/14=7",
"50+7=57"
] | Current State: 57:[45, 50, 59, 98], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [50, 98, 14]
Generated Node #2: [50, 98, 14] from Operation: 59-45=14
Current State: 57:[50, 98, 14], Operations: ['59-45=14']
Exploring Operation: 98/14=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 98/14=7
Current State: 57:[50, 7], Operations: ['59-45=14', '98/14=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
23,
20,
34,
5
] | 49 | [
"23-20=3",
"5*3=15",
"34+15=49"
] | Current State: 49:[23, 20, 34, 5], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [34, 5, 3]
Generated Node #2: [34, 5, 3] from Operation: 23-20=3
Current State: 49:[34, 5, 3], Operations: ['23-20=3']
Exploring Operation: 5*3=15, Resulting Numbers: [34, 15]
Generated Node #3: [34, 15] from Operation: 5*3=15
Current State: 49:[34, 15], Operations: ['23-20=3', '5*3=15']
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
95,
30,
99,
72
] | 92 | [
"95-30=65",
"99-72=27",
"65+27=92"
] | Current State: 92:[95, 30, 99, 72], Operations: []
Exploring Operation: 95-30=65, Resulting Numbers: [99, 72, 65]
Generated Node #2: [99, 72, 65] from Operation: 95-30=65
Current State: 92:[99, 72, 65], Operations: ['95-30=65']
Exploring Operation: 99-72=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 99-72=27
Current State: 92:[65, 27], Operations: ['95-30=65', '99-72=27']
Exploring Operation: 65+27=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
48,
25,
55,
32
] | 20 | [
"55-25=30",
"32*30=960",
"960/48=20"
] | Current State: 20:[48, 25, 55, 32], Operations: []
Exploring Operation: 55-25=30, Resulting Numbers: [48, 32, 30]
Generated Node #2: [48, 32, 30] from Operation: 55-25=30
Current State: 20:[48, 32, 30], Operations: ['55-25=30']
Exploring Operation: 32*30=960, Resulting Numbers: [48, 960]
Generated Node #3: [48, 960] from Operation: 32*30=960
Current State: 20:[48, 960], Operations: ['55-25=30', '32*30=960']
Exploring Operation: 960/48=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
66,
65,
21
] | 61 | [
"66/11=6",
"21*6=126",
"126-65=61"
] | Current State: 61:[11, 66, 65, 21], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [65, 21, 6]
Generated Node #2: [65, 21, 6] from Operation: 66/11=6
Current State: 61:[65, 21, 6], Operations: ['66/11=6']
Exploring Operation: 21*6=126, Resulting Numbers: [65, 126]
Generated Node #3: [65, 126] from Operation: 21*6=126
Current State: 61:[65, 126], Operations: ['66/11=6', '21*6=126']
Exploring Operation: 126-65=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
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