nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
18,
20,
96,
94
] | 49 | [
"20-18=2",
"94/2=47",
"96-47=49"
] | Current State: 49:[18, 20, 96, 94], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [96, 94, 2]
Generated Node #2: [96, 94, 2] from Operation: 20-18=2
Current State: 49:[96, 94, 2], Operations: ['20-18=2']
Exploring Operation: 94/2=47, Resulting Numbers: [96, 47]
Generated Node #3: [96, 47] from Operation: 94/2=47
Current State: 49:[96, 47], Operations: ['20-18=2', '94/2=47']
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
2,
76,
36,
78
] | 82 | [
"2*36=72",
"76+78=154",
"154-72=82"
] | Current State: 82:[2, 76, 36, 78], Operations: []
Exploring Operation: 2*36=72, Resulting Numbers: [76, 78, 72]
Generated Node #2: [76, 78, 72] from Operation: 2*36=72
Current State: 82:[76, 78, 72], Operations: ['2*36=72']
Exploring Operation: 76+78=154, Resulting Numbers: [72, 154]
Generated Node #3: [72, 154] from Operation: 76+78=154
Current State: 82:[72, 154], Operations: ['2*36=72', '76+78=154']
Exploring Operation: 154-72=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
50,
47,
65,
12
] | 75 | [
"65-47=18",
"50*18=900",
"900/12=75"
] | Current State: 75:[50, 47, 65, 12], Operations: []
Exploring Operation: 65-47=18, Resulting Numbers: [50, 12, 18]
Generated Node #2: [50, 12, 18] from Operation: 65-47=18
Current State: 75:[50, 12, 18], Operations: ['65-47=18']
Exploring Operation: 50*18=900, Resulting Numbers: [12, 900]
Generated Node #3: [12, 900] from Operation: 50*18=900
Current State: 75:[12, 900], Operations: ['65-47=18', '50*18=900']
Exploring Operation: 900/12=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
95,
4,
8,
37
] | 100 | [
"95+37=132",
"4*8=32",
"132-32=100"
] | Current State: 100:[95, 4, 8, 37], Operations: []
Exploring Operation: 95+37=132, Resulting Numbers: [4, 8, 132]
Generated Node #2: [4, 8, 132] from Operation: 95+37=132
Current State: 100:[4, 8, 132], Operations: ['95+37=132']
Exploring Operation: 4*8=32, Resulting Numbers: [132, 32]
Generated Node #3: [132, 32] from Operation: 4*8=32
Current State: 100:[132, 32], Operations: ['95+37=132', '4*8=32']
Exploring Operation: 132-32=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
50,
11,
32,
16
] | 38 | [
"50*11=550",
"32*16=512",
"550-512=38"
] | Current State: 38:[50, 11, 32, 16], Operations: []
Exploring Operation: 50*11=550, Resulting Numbers: [32, 16, 550]
Generated Node #2: [32, 16, 550] from Operation: 50*11=550
Current State: 38:[32, 16, 550], Operations: ['50*11=550']
Exploring Operation: 32*16=512, Resulting Numbers: [550, 512]
Generated Node #3: [550, 512] from Operation: 32*16=512
Current State: 38:[550, 512], Operations: ['50*11=550', '32*16=512']
Exploring Operation: 550-512=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
65,
89,
37,
74
] | 43 | [
"65+89=154",
"37+74=111",
"154-111=43"
] | Current State: 43:[65, 89, 37, 74], Operations: []
Exploring Operation: 65+89=154, Resulting Numbers: [37, 74, 154]
Generated Node #2: [37, 74, 154] from Operation: 65+89=154
Current State: 43:[37, 74, 154], Operations: ['65+89=154']
Exploring Operation: 37+74=111, Resulting Numbers: [154, 111]
Generated Node #3: [154, 111] from Operation: 37+74=111
Current State: 43:[154, 111], Operations: ['65+89=154', '37+74=111']
Exploring Operation: 154-111=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
9,
14,
7,
11
] | 23 | [
"14-9=5",
"7+11=18",
"5+18=23"
] | Current State: 23:[9, 14, 7, 11], Operations: []
Exploring Operation: 14-9=5, Resulting Numbers: [7, 11, 5]
Generated Node #2: [7, 11, 5] from Operation: 14-9=5
Current State: 23:[7, 11, 5], Operations: ['14-9=5']
Exploring Operation: 7+11=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 7+11=18
Current State: 23:[5, 18], Operations: ['14-9=5', '7+11=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
96,
4,
80,
97
] | 75 | [
"96-4=92",
"97-80=17",
"92-17=75"
] | Current State: 75:[96, 4, 80, 97], Operations: []
Exploring Operation: 96-4=92, Resulting Numbers: [80, 97, 92]
Generated Node #2: [80, 97, 92] from Operation: 96-4=92
Current State: 75:[80, 97, 92], Operations: ['96-4=92']
Exploring Operation: 97-80=17, Resulting Numbers: [92, 17]
Generated Node #3: [92, 17] from Operation: 97-80=17
Current State: 75:[92, 17], Operations: ['96-4=92', '97-80=17']
Exploring Operation: 92-17=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
3,
30,
16,
54
] | 28 | [
"30/3=10",
"54-16=38",
"38-10=28"
] | Current State: 28:[3, 30, 16, 54], Operations: []
Exploring Operation: 30/3=10, Resulting Numbers: [16, 54, 10]
Generated Node #2: [16, 54, 10] from Operation: 30/3=10
Current State: 28:[16, 54, 10], Operations: ['30/3=10']
Exploring Operation: 54-16=38, Resulting Numbers: [10, 38]
Generated Node #3: [10, 38] from Operation: 54-16=38
Current State: 28:[10, 38], Operations: ['30/3=10', '54-16=38']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
60,
30,
69,
36
] | 87 | [
"60/30=2",
"36/2=18",
"69+18=87"
] | Current State: 87:[60, 30, 69, 36], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [69, 36, 2]
Generated Node #2: [69, 36, 2] from Operation: 60/30=2
Current State: 87:[69, 36, 2], Operations: ['60/30=2']
Exploring Operation: 36/2=18, Resulting Numbers: [69, 18]
Generated Node #3: [69, 18] from Operation: 36/2=18
Current State: 87:[69, 18], Operations: ['60/30=2', '36/2=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
16,
76,
85,
63
] | 14 | [
"76+85=161",
"63+161=224",
"224/16=14"
] | Current State: 14:[16, 76, 85, 63], Operations: []
Exploring Operation: 76+85=161, Resulting Numbers: [16, 63, 161]
Generated Node #2: [16, 63, 161] from Operation: 76+85=161
Current State: 14:[16, 63, 161], Operations: ['76+85=161']
Exploring Operation: 63+161=224, Resulting Numbers: [16, 224]
Generated Node #3: [16, 224] from Operation: 63+161=224
Current State: 14:[16, 224], Operations: ['76+85=161', '63+161=224']
Exploring Operation: 224/16=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
80,
51,
23,
7
] | 76 | [
"51-23=28",
"28/7=4",
"80-4=76"
] | Current State: 76:[80, 51, 23, 7], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [80, 7, 28]
Generated Node #2: [80, 7, 28] from Operation: 51-23=28
Current State: 76:[80, 7, 28], Operations: ['51-23=28']
Exploring Operation: 28/7=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 28/7=4
Current State: 76:[80, 4], Operations: ['51-23=28', '28/7=4']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
42,
7,
2,
51
] | 23 | [
"42/2=21",
"51-7=44",
"44-21=23"
] | Current State: 23:[42, 7, 2, 51], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [7, 51, 21]
Generated Node #2: [7, 51, 21] from Operation: 42/2=21
Current State: 23:[7, 51, 21], Operations: ['42/2=21']
Exploring Operation: 51-7=44, Resulting Numbers: [21, 44]
Generated Node #3: [21, 44] from Operation: 51-7=44
Current State: 23:[21, 44], Operations: ['42/2=21', '51-7=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
19,
50,
16,
17
] | 18 | [
"19-17=2",
"16*2=32",
"50-32=18"
] | Current State: 18:[19, 50, 16, 17], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [50, 16, 2]
Generated Node #2: [50, 16, 2] from Operation: 19-17=2
Current State: 18:[50, 16, 2], Operations: ['19-17=2']
Exploring Operation: 16*2=32, Resulting Numbers: [50, 32]
Generated Node #3: [50, 32] from Operation: 16*2=32
Current State: 18:[50, 32], Operations: ['19-17=2', '16*2=32']
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
71,
52,
25,
21
] | 27 | [
"71-52=19",
"25+21=46",
"46-19=27"
] | Current State: 27:[71, 52, 25, 21], Operations: []
Exploring Operation: 71-52=19, Resulting Numbers: [25, 21, 19]
Generated Node #2: [25, 21, 19] from Operation: 71-52=19
Current State: 27:[25, 21, 19], Operations: ['71-52=19']
Exploring Operation: 25+21=46, Resulting Numbers: [19, 46]
Generated Node #3: [19, 46] from Operation: 25+21=46
Current State: 27:[19, 46], Operations: ['71-52=19', '25+21=46']
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
79,
42,
46,
78
] | 88 | [
"79-78=1",
"42+46=88",
"1*88=88"
] | Current State: 88:[79, 42, 46, 78], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [42, 46, 1]
Generated Node #2: [42, 46, 1] from Operation: 79-78=1
Current State: 88:[42, 46, 1], Operations: ['79-78=1']
Exploring Operation: 42+46=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 42+46=88
Current State: 88:[1, 88], Operations: ['79-78=1', '42+46=88']
Exploring Operation: 1*88=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
21,
90,
26,
32
] | 11 | [
"90-21=69",
"26+32=58",
"69-58=11"
] | Current State: 11:[21, 90, 26, 32], Operations: []
Exploring Operation: 90-21=69, Resulting Numbers: [26, 32, 69]
Generated Node #2: [26, 32, 69] from Operation: 90-21=69
Current State: 11:[26, 32, 69], Operations: ['90-21=69']
Exploring Operation: 26+32=58, Resulting Numbers: [69, 58]
Generated Node #3: [69, 58] from Operation: 26+32=58
Current State: 11:[69, 58], Operations: ['90-21=69', '26+32=58']
Exploring Operation: 69-58=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
32,
5,
2,
94
] | 69 | [
"32-5=27",
"2+94=96",
"96-27=69"
] | Current State: 69:[32, 5, 2, 94], Operations: []
Exploring Operation: 32-5=27, Resulting Numbers: [2, 94, 27]
Generated Node #2: [2, 94, 27] from Operation: 32-5=27
Current State: 69:[2, 94, 27], Operations: ['32-5=27']
Exploring Operation: 2+94=96, Resulting Numbers: [27, 96]
Generated Node #3: [27, 96] from Operation: 2+94=96
Current State: 69:[27, 96], Operations: ['32-5=27', '2+94=96']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
92,
60,
12,
17
] | 15 | [
"92-17=75",
"60/12=5",
"75/5=15"
] | Current State: 15:[92, 60, 12, 17], Operations: []
Exploring Operation: 92-17=75, Resulting Numbers: [60, 12, 75]
Generated Node #2: [60, 12, 75] from Operation: 92-17=75
Current State: 15:[60, 12, 75], Operations: ['92-17=75']
Exploring Operation: 60/12=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 60/12=5
Current State: 15:[75, 5], Operations: ['92-17=75', '60/12=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
19,
62,
25,
45
] | 62 | [
"19+25=44",
"45-44=1",
"62*1=62"
] | Current State: 62:[19, 62, 25, 45], Operations: []
Exploring Operation: 19+25=44, Resulting Numbers: [62, 45, 44]
Generated Node #2: [62, 45, 44] from Operation: 19+25=44
Current State: 62:[62, 45, 44], Operations: ['19+25=44']
Exploring Operation: 45-44=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 45-44=1
Current State: 62:[62, 1], Operations: ['19+25=44', '45-44=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
3,
29,
18
] | 41 | [
"3+3=6",
"29+18=47",
"47-6=41"
] | Current State: 41:[3, 3, 29, 18], Operations: []
Exploring Operation: 3+3=6, Resulting Numbers: [29, 18, 6]
Generated Node #2: [29, 18, 6] from Operation: 3+3=6
Current State: 41:[29, 18, 6], Operations: ['3+3=6']
Exploring Operation: 29+18=47, Resulting Numbers: [6, 47]
Generated Node #3: [6, 47] from Operation: 29+18=47
Current State: 41:[6, 47], Operations: ['3+3=6', '29+18=47']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
19,
25,
63,
85
] | 28 | [
"25-19=6",
"85-63=22",
"6+22=28"
] | Current State: 28:[19, 25, 63, 85], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [63, 85, 6]
Generated Node #2: [63, 85, 6] from Operation: 25-19=6
Current State: 28:[63, 85, 6], Operations: ['25-19=6']
Exploring Operation: 85-63=22, Resulting Numbers: [6, 22]
Generated Node #3: [6, 22] from Operation: 85-63=22
Current State: 28:[6, 22], Operations: ['25-19=6', '85-63=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
8,
89,
67,
16
] | 46 | [
"8+89=97",
"67-16=51",
"97-51=46"
] | Current State: 46:[8, 89, 67, 16], Operations: []
Exploring Operation: 8+89=97, Resulting Numbers: [67, 16, 97]
Generated Node #2: [67, 16, 97] from Operation: 8+89=97
Current State: 46:[67, 16, 97], Operations: ['8+89=97']
Exploring Operation: 67-16=51, Resulting Numbers: [97, 51]
Generated Node #3: [97, 51] from Operation: 67-16=51
Current State: 46:[97, 51], Operations: ['8+89=97', '67-16=51']
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
58,
34,
27,
24
] | 27 | [
"58-34=24",
"27+24=51",
"51-24=27"
] | Current State: 27:[58, 34, 27, 24], Operations: []
Exploring Operation: 58-34=24, Resulting Numbers: [27, 24, 24]
Generated Node #2: [27, 24, 24] from Operation: 58-34=24
Current State: 27:[27, 24, 24], Operations: ['58-34=24']
Exploring Operation: 27+24=51, Resulting Numbers: [51]
51,27 equal: Goal Reached
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
40,
55,
33,
2
] | 48 | [
"40*33=1320",
"1320/55=24",
"2*24=48"
] | Current State: 48:[40, 55, 33, 2], Operations: []
Exploring Operation: 40*33=1320, Resulting Numbers: [55, 2, 1320]
Generated Node #2: [55, 2, 1320] from Operation: 40*33=1320
Current State: 48:[55, 2, 1320], Operations: ['40*33=1320']
Exploring Operation: 1320/55=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 1320/55=24
Current State: 48:[2, 24], Operations: ['40*33=1320', '1320/55=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
36,
27,
46,
26
] | 43 | [
"36+27=63",
"46-26=20",
"63-20=43"
] | Current State: 43:[36, 27, 46, 26], Operations: []
Exploring Operation: 36+27=63, Resulting Numbers: [46, 26, 63]
Generated Node #2: [46, 26, 63] from Operation: 36+27=63
Current State: 43:[46, 26, 63], Operations: ['36+27=63']
Exploring Operation: 46-26=20, Resulting Numbers: [63, 20]
Generated Node #3: [63, 20] from Operation: 46-26=20
Current State: 43:[63, 20], Operations: ['36+27=63', '46-26=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
8,
28,
29,
19
] | 95 | [
"8*19=152",
"28+29=57",
"152-57=95"
] | Current State: 95:[8, 28, 29, 19], Operations: []
Exploring Operation: 8*19=152, Resulting Numbers: [28, 29, 152]
Generated Node #2: [28, 29, 152] from Operation: 8*19=152
Current State: 95:[28, 29, 152], Operations: ['8*19=152']
Exploring Operation: 28+29=57, Resulting Numbers: [152, 57]
Generated Node #3: [152, 57] from Operation: 28+29=57
Current State: 95:[152, 57], Operations: ['8*19=152', '28+29=57']
Exploring Operation: 152-57=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
7,
21,
4,
74
] | 92 | [
"21-7=14",
"4+74=78",
"14+78=92"
] | Current State: 92:[7, 21, 4, 74], Operations: []
Exploring Operation: 21-7=14, Resulting Numbers: [4, 74, 14]
Generated Node #2: [4, 74, 14] from Operation: 21-7=14
Current State: 92:[4, 74, 14], Operations: ['21-7=14']
Exploring Operation: 4+74=78, Resulting Numbers: [14, 78]
Generated Node #3: [14, 78] from Operation: 4+74=78
Current State: 92:[14, 78], Operations: ['21-7=14', '4+74=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
29,
94,
66,
39
] | 96 | [
"29+94=123",
"66-39=27",
"123-27=96"
] | Current State: 96:[29, 94, 66, 39], Operations: []
Exploring Operation: 29+94=123, Resulting Numbers: [66, 39, 123]
Generated Node #2: [66, 39, 123] from Operation: 29+94=123
Current State: 96:[66, 39, 123], Operations: ['29+94=123']
Exploring Operation: 66-39=27, Resulting Numbers: [123, 27]
Generated Node #3: [123, 27] from Operation: 66-39=27
Current State: 96:[123, 27], Operations: ['29+94=123', '66-39=27']
Exploring Operation: 123-27=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
96,
42,
33,
11
] | 46 | [
"96+42=138",
"33/11=3",
"138/3=46"
] | Current State: 46:[96, 42, 33, 11], Operations: []
Exploring Operation: 96+42=138, Resulting Numbers: [33, 11, 138]
Generated Node #2: [33, 11, 138] from Operation: 96+42=138
Current State: 46:[33, 11, 138], Operations: ['96+42=138']
Exploring Operation: 33/11=3, Resulting Numbers: [138, 3]
Generated Node #3: [138, 3] from Operation: 33/11=3
Current State: 46:[138, 3], Operations: ['96+42=138', '33/11=3']
Exploring Operation: 138/3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
42,
6,
84,
12
] | 80 | [
"42+6=48",
"48/12=4",
"84-4=80"
] | Current State: 80:[42, 6, 84, 12], Operations: []
Exploring Operation: 42+6=48, Resulting Numbers: [84, 12, 48]
Generated Node #2: [84, 12, 48] from Operation: 42+6=48
Current State: 80:[84, 12, 48], Operations: ['42+6=48']
Exploring Operation: 48/12=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 48/12=4
Current State: 80:[84, 4], Operations: ['42+6=48', '48/12=4']
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
35,
56,
43,
73
] | 32 | [
"56+73=129",
"129/43=3",
"35-3=32"
] | Current State: 32:[35, 56, 43, 73], Operations: []
Exploring Operation: 56+73=129, Resulting Numbers: [35, 43, 129]
Generated Node #2: [35, 43, 129] from Operation: 56+73=129
Current State: 32:[35, 43, 129], Operations: ['56+73=129']
Exploring Operation: 129/43=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 129/43=3
Current State: 32:[35, 3], Operations: ['56+73=129', '129/43=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
48,
8,
60,
2
] | 48 | [
"48/8=6",
"2*6=12",
"60-12=48"
] | Current State: 48:[48, 8, 60, 2], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [60, 2, 6]
Generated Node #2: [60, 2, 6] from Operation: 48/8=6
Current State: 48:[60, 2, 6], Operations: ['48/8=6']
Exploring Operation: 2*6=12, Resulting Numbers: [60, 12]
Generated Node #3: [60, 12] from Operation: 2*6=12
Current State: 48:[60, 12], Operations: ['48/8=6', '2*6=12']
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
58,
97,
4,
64
] | 73 | [
"64-58=6",
"4*6=24",
"97-24=73"
] | Current State: 73:[58, 97, 4, 64], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [97, 4, 6]
Generated Node #2: [97, 4, 6] from Operation: 64-58=6
Current State: 73:[97, 4, 6], Operations: ['64-58=6']
Exploring Operation: 4*6=24, Resulting Numbers: [97, 24]
Generated Node #3: [97, 24] from Operation: 4*6=24
Current State: 73:[97, 24], Operations: ['64-58=6', '4*6=24']
Exploring Operation: 97-24=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
14,
4,
54,
96
] | 60 | [
"14+4=18",
"96-54=42",
"18+42=60"
] | Current State: 60:[14, 4, 54, 96], Operations: []
Exploring Operation: 14+4=18, Resulting Numbers: [54, 96, 18]
Generated Node #2: [54, 96, 18] from Operation: 14+4=18
Current State: 60:[54, 96, 18], Operations: ['14+4=18']
Exploring Operation: 96-54=42, Resulting Numbers: [18, 42]
Generated Node #3: [18, 42] from Operation: 96-54=42
Current State: 60:[18, 42], Operations: ['14+4=18', '96-54=42']
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
99,
66,
84,
22
] | 81 | [
"84-66=18",
"99*18=1782",
"1782/22=81"
] | Current State: 81:[99, 66, 84, 22], Operations: []
Exploring Operation: 84-66=18, Resulting Numbers: [99, 22, 18]
Generated Node #2: [99, 22, 18] from Operation: 84-66=18
Current State: 81:[99, 22, 18], Operations: ['84-66=18']
Exploring Operation: 99*18=1782, Resulting Numbers: [22, 1782]
Generated Node #3: [22, 1782] from Operation: 99*18=1782
Current State: 81:[22, 1782], Operations: ['84-66=18', '99*18=1782']
Exploring Operation: 1782/22=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
10,
3,
65,
19
] | 85 | [
"10*19=190",
"65+190=255",
"255/3=85"
] | Current State: 85:[10, 3, 65, 19], Operations: []
Exploring Operation: 10*19=190, Resulting Numbers: [3, 65, 190]
Generated Node #2: [3, 65, 190] from Operation: 10*19=190
Current State: 85:[3, 65, 190], Operations: ['10*19=190']
Exploring Operation: 65+190=255, Resulting Numbers: [3, 255]
Generated Node #3: [3, 255] from Operation: 65+190=255
Current State: 85:[3, 255], Operations: ['10*19=190', '65+190=255']
Exploring Operation: 255/3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
86,
47,
90,
95
] | 34 | [
"86-47=39",
"95-90=5",
"39-5=34"
] | Current State: 34:[86, 47, 90, 95], Operations: []
Exploring Operation: 86-47=39, Resulting Numbers: [90, 95, 39]
Generated Node #2: [90, 95, 39] from Operation: 86-47=39
Current State: 34:[90, 95, 39], Operations: ['86-47=39']
Exploring Operation: 95-90=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 95-90=5
Current State: 34:[39, 5], Operations: ['86-47=39', '95-90=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
51,
92,
58,
67
] | 18 | [
"51+92=143",
"58+67=125",
"143-125=18"
] | Current State: 18:[51, 92, 58, 67], Operations: []
Exploring Operation: 51+92=143, Resulting Numbers: [58, 67, 143]
Generated Node #2: [58, 67, 143] from Operation: 51+92=143
Current State: 18:[58, 67, 143], Operations: ['51+92=143']
Exploring Operation: 58+67=125, Resulting Numbers: [143, 125]
Generated Node #3: [143, 125] from Operation: 58+67=125
Current State: 18:[143, 125], Operations: ['51+92=143', '58+67=125']
Exploring Operation: 143-125=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
40,
58,
79,
90
] | 87 | [
"40+58=98",
"90-79=11",
"98-11=87"
] | Current State: 87:[40, 58, 79, 90], Operations: []
Exploring Operation: 40+58=98, Resulting Numbers: [79, 90, 98]
Generated Node #2: [79, 90, 98] from Operation: 40+58=98
Current State: 87:[79, 90, 98], Operations: ['40+58=98']
Exploring Operation: 90-79=11, Resulting Numbers: [98, 11]
Generated Node #3: [98, 11] from Operation: 90-79=11
Current State: 87:[98, 11], Operations: ['40+58=98', '90-79=11']
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
50,
54,
94,
85
] | 44 | [
"94-85=9",
"54/9=6",
"50-6=44"
] | Current State: 44:[50, 54, 94, 85], Operations: []
Exploring Operation: 94-85=9, Resulting Numbers: [50, 54, 9]
Generated Node #2: [50, 54, 9] from Operation: 94-85=9
Current State: 44:[50, 54, 9], Operations: ['94-85=9']
Exploring Operation: 54/9=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 54/9=6
Current State: 44:[50, 6], Operations: ['94-85=9', '54/9=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
22,
7,
29,
21
] | 54 | [
"22+29=51",
"21/7=3",
"51+3=54"
] | Current State: 54:[22, 7, 29, 21], Operations: []
Exploring Operation: 22+29=51, Resulting Numbers: [7, 21, 51]
Generated Node #2: [7, 21, 51] from Operation: 22+29=51
Current State: 54:[7, 21, 51], Operations: ['22+29=51']
Exploring Operation: 21/7=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 21/7=3
Current State: 54:[51, 3], Operations: ['22+29=51', '21/7=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
70,
75,
7,
43
] | 31 | [
"75-70=5",
"43-7=36",
"36-5=31"
] | Current State: 31:[70, 75, 7, 43], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [7, 43, 5]
Generated Node #2: [7, 43, 5] from Operation: 75-70=5
Current State: 31:[7, 43, 5], Operations: ['75-70=5']
Exploring Operation: 43-7=36, Resulting Numbers: [5, 36]
Generated Node #3: [5, 36] from Operation: 43-7=36
Current State: 31:[5, 36], Operations: ['75-70=5', '43-7=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
40,
48,
10,
55
] | 53 | [
"48-40=8",
"55-10=45",
"8+45=53"
] | Current State: 53:[40, 48, 10, 55], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [10, 55, 8]
Generated Node #2: [10, 55, 8] from Operation: 48-40=8
Current State: 53:[10, 55, 8], Operations: ['48-40=8']
Exploring Operation: 55-10=45, Resulting Numbers: [8, 45]
Generated Node #3: [8, 45] from Operation: 55-10=45
Current State: 53:[8, 45], Operations: ['48-40=8', '55-10=45']
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
3,
49,
19,
9
] | 90 | [
"9/3=3",
"49-19=30",
"3*30=90"
] | Current State: 90:[3, 49, 19, 9], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [49, 19, 3]
Generated Node #2: [49, 19, 3] from Operation: 9/3=3
Current State: 90:[49, 19, 3], Operations: ['9/3=3']
Exploring Operation: 49-19=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 49-19=30
Current State: 90:[3, 30], Operations: ['9/3=3', '49-19=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
70,
53,
40,
56
] | 90 | [
"70-40=30",
"56-53=3",
"30*3=90"
] | Current State: 90:[70, 53, 40, 56], Operations: []
Exploring Operation: 70-40=30, Resulting Numbers: [53, 56, 30]
Generated Node #2: [53, 56, 30] from Operation: 70-40=30
Current State: 90:[53, 56, 30], Operations: ['70-40=30']
Exploring Operation: 56-53=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 56-53=3
Current State: 90:[30, 3], Operations: ['70-40=30', '56-53=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
32,
52,
34,
67
] | 81 | [
"52-32=20",
"34+67=101",
"101-20=81"
] | Current State: 81:[32, 52, 34, 67], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [34, 67, 20]
Generated Node #2: [34, 67, 20] from Operation: 52-32=20
Current State: 81:[34, 67, 20], Operations: ['52-32=20']
Exploring Operation: 34+67=101, Resulting Numbers: [20, 101]
Generated Node #3: [20, 101] from Operation: 34+67=101
Current State: 81:[20, 101], Operations: ['52-32=20', '34+67=101']
Exploring Operation: 101-20=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
39,
60,
68,
5
] | 41 | [
"68-39=29",
"60/5=12",
"29+12=41"
] | Current State: 41:[39, 60, 68, 5], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [60, 5, 29]
Generated Node #2: [60, 5, 29] from Operation: 68-39=29
Current State: 41:[60, 5, 29], Operations: ['68-39=29']
Exploring Operation: 60/5=12, Resulting Numbers: [29, 12]
Generated Node #3: [29, 12] from Operation: 60/5=12
Current State: 41:[29, 12], Operations: ['68-39=29', '60/5=12']
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
57,
57,
19,
76
] | 50 | [
"57+76=133",
"133/19=7",
"57-7=50"
] | Current State: 50:[57, 57, 19, 76], Operations: []
Exploring Operation: 57+76=133, Resulting Numbers: [19, 133]
Generated Node #2: [19, 133] from Operation: 57+76=133
Current State: 50:[19, 133], Operations: ['57+76=133']
Exploring Operation: 133/19=7, Resulting Numbers: [7]
7,50 equal: Goal Reached
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
13,
17,
84,
63
] | 84 | [
"17-13=4",
"84-63=21",
"4*21=84"
] | Current State: 84:[13, 17, 84, 63], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [84, 63, 4]
Generated Node #2: [84, 63, 4] from Operation: 17-13=4
Current State: 84:[84, 63, 4], Operations: ['17-13=4']
Exploring Operation: 84-63=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 84-63=21
Current State: 84:[4, 21], Operations: ['17-13=4', '84-63=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
86,
22,
25,
68
] | 18 | [
"86+68=154",
"154/22=7",
"25-7=18"
] | Current State: 18:[86, 22, 25, 68], Operations: []
Exploring Operation: 86+68=154, Resulting Numbers: [22, 25, 154]
Generated Node #2: [22, 25, 154] from Operation: 86+68=154
Current State: 18:[22, 25, 154], Operations: ['86+68=154']
Exploring Operation: 154/22=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 154/22=7
Current State: 18:[25, 7], Operations: ['86+68=154', '154/22=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
74,
53,
52,
27
] | 72 | [
"53-27=26",
"52/26=2",
"74-2=72"
] | Current State: 72:[74, 53, 52, 27], Operations: []
Exploring Operation: 53-27=26, Resulting Numbers: [74, 52, 26]
Generated Node #2: [74, 52, 26] from Operation: 53-27=26
Current State: 72:[74, 52, 26], Operations: ['53-27=26']
Exploring Operation: 52/26=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 52/26=2
Current State: 72:[74, 2], Operations: ['53-27=26', '52/26=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
5,
33,
58,
49
] | 22 | [
"49-33=16",
"5*16=80",
"80-58=22"
] | Current State: 22:[5, 33, 58, 49], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [5, 58, 16]
Generated Node #2: [5, 58, 16] from Operation: 49-33=16
Current State: 22:[5, 58, 16], Operations: ['49-33=16']
Exploring Operation: 5*16=80, Resulting Numbers: [58, 80]
Generated Node #3: [58, 80] from Operation: 5*16=80
Current State: 22:[58, 80], Operations: ['49-33=16', '5*16=80']
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
15,
31,
54,
41
] | 62 | [
"54-15=39",
"41-39=2",
"31*2=62"
] | Current State: 62:[15, 31, 54, 41], Operations: []
Exploring Operation: 54-15=39, Resulting Numbers: [31, 41, 39]
Generated Node #2: [31, 41, 39] from Operation: 54-15=39
Current State: 62:[31, 41, 39], Operations: ['54-15=39']
Exploring Operation: 41-39=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 41-39=2
Current State: 62:[31, 2], Operations: ['54-15=39', '41-39=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
55,
17,
86,
85
] | 39 | [
"55-17=38",
"86-85=1",
"38+1=39"
] | Current State: 39:[55, 17, 86, 85], Operations: []
Exploring Operation: 55-17=38, Resulting Numbers: [86, 85, 38]
Generated Node #2: [86, 85, 38] from Operation: 55-17=38
Current State: 39:[86, 85, 38], Operations: ['55-17=38']
Exploring Operation: 86-85=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 86-85=1
Current State: 39:[38, 1], Operations: ['55-17=38', '86-85=1']
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
76,
64,
47,
31
] | 62 | [
"76+64=140",
"47+31=78",
"140-78=62"
] | Current State: 62:[76, 64, 47, 31], Operations: []
Exploring Operation: 76+64=140, Resulting Numbers: [47, 31, 140]
Generated Node #2: [47, 31, 140] from Operation: 76+64=140
Current State: 62:[47, 31, 140], Operations: ['76+64=140']
Exploring Operation: 47+31=78, Resulting Numbers: [140, 78]
Generated Node #3: [140, 78] from Operation: 47+31=78
Current State: 62:[140, 78], Operations: ['76+64=140', '47+31=78']
Exploring Operation: 140-78=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
80,
8,
53,
15
] | 48 | [
"80/8=10",
"53-15=38",
"10+38=48"
] | Current State: 48:[80, 8, 53, 15], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [53, 15, 10]
Generated Node #2: [53, 15, 10] from Operation: 80/8=10
Current State: 48:[53, 15, 10], Operations: ['80/8=10']
Exploring Operation: 53-15=38, Resulting Numbers: [10, 38]
Generated Node #3: [10, 38] from Operation: 53-15=38
Current State: 48:[10, 38], Operations: ['80/8=10', '53-15=38']
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
18,
36,
64,
6
] | 60 | [
"18+36=54",
"64-54=10",
"6*10=60"
] | Current State: 60:[18, 36, 64, 6], Operations: []
Exploring Operation: 18+36=54, Resulting Numbers: [64, 6, 54]
Generated Node #2: [64, 6, 54] from Operation: 18+36=54
Current State: 60:[64, 6, 54], Operations: ['18+36=54']
Exploring Operation: 64-54=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 64-54=10
Current State: 60:[6, 10], Operations: ['18+36=54', '64-54=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
85,
22,
61,
83
] | 50 | [
"85-83=2",
"22/2=11",
"61-11=50"
] | Current State: 50:[85, 22, 61, 83], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [22, 61, 2]
Generated Node #2: [22, 61, 2] from Operation: 85-83=2
Current State: 50:[22, 61, 2], Operations: ['85-83=2']
Exploring Operation: 22/2=11, Resulting Numbers: [61, 11]
Generated Node #3: [61, 11] from Operation: 22/2=11
Current State: 50:[61, 11], Operations: ['85-83=2', '22/2=11']
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
35,
29,
22,
79
] | 58 | [
"79-35=44",
"29*44=1276",
"1276/22=58"
] | Current State: 58:[35, 29, 22, 79], Operations: []
Exploring Operation: 79-35=44, Resulting Numbers: [29, 22, 44]
Generated Node #2: [29, 22, 44] from Operation: 79-35=44
Current State: 58:[29, 22, 44], Operations: ['79-35=44']
Exploring Operation: 29*44=1276, Resulting Numbers: [22, 1276]
Generated Node #3: [22, 1276] from Operation: 29*44=1276
Current State: 58:[22, 1276], Operations: ['79-35=44', '29*44=1276']
Exploring Operation: 1276/22=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
87,
4,
10,
2
] | 69 | [
"87-10=77",
"4*2=8",
"77-8=69"
] | Current State: 69:[87, 4, 10, 2], Operations: []
Exploring Operation: 87-10=77, Resulting Numbers: [4, 2, 77]
Generated Node #2: [4, 2, 77] from Operation: 87-10=77
Current State: 69:[4, 2, 77], Operations: ['87-10=77']
Exploring Operation: 4*2=8, Resulting Numbers: [77, 8]
Generated Node #3: [77, 8] from Operation: 4*2=8
Current State: 69:[77, 8], Operations: ['87-10=77', '4*2=8']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
79,
67,
71,
31
] | 45 | [
"71-67=4",
"31*4=124",
"124-79=45"
] | Current State: 45:[79, 67, 71, 31], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [79, 31, 4]
Generated Node #2: [79, 31, 4] from Operation: 71-67=4
Current State: 45:[79, 31, 4], Operations: ['71-67=4']
Exploring Operation: 31*4=124, Resulting Numbers: [79, 124]
Generated Node #3: [79, 124] from Operation: 31*4=124
Current State: 45:[79, 124], Operations: ['71-67=4', '31*4=124']
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
76,
64,
45,
50
] | 83 | [
"76-64=12",
"45+50=95",
"95-12=83"
] | Current State: 83:[76, 64, 45, 50], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [45, 50, 12]
Generated Node #2: [45, 50, 12] from Operation: 76-64=12
Current State: 83:[45, 50, 12], Operations: ['76-64=12']
Exploring Operation: 45+50=95, Resulting Numbers: [12, 95]
Generated Node #3: [12, 95] from Operation: 45+50=95
Current State: 83:[12, 95], Operations: ['76-64=12', '45+50=95']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
18,
14,
22,
70
] | 20 | [
"22-18=4",
"70/14=5",
"4*5=20"
] | Current State: 20:[18, 14, 22, 70], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [14, 70, 4]
Generated Node #2: [14, 70, 4] from Operation: 22-18=4
Current State: 20:[14, 70, 4], Operations: ['22-18=4']
Exploring Operation: 70/14=5, Resulting Numbers: [4, 5]
Generated Node #3: [4, 5] from Operation: 70/14=5
Current State: 20:[4, 5], Operations: ['22-18=4', '70/14=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
7,
3,
2,
84
] | 91 | [
"7+84=91",
"3-2=1",
"91*1=91"
] | Current State: 91:[7, 3, 2, 84], Operations: []
Exploring Operation: 7+84=91, Resulting Numbers: [3, 2, 91]
Generated Node #2: [3, 2, 91] from Operation: 7+84=91
Current State: 91:[3, 2, 91], Operations: ['7+84=91']
Exploring Operation: 3-2=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 3-2=1
Current State: 91:[91, 1], Operations: ['7+84=91', '3-2=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
65,
6,
49,
42
] | 26 | [
"65+49=114",
"42+114=156",
"156/6=26"
] | Current State: 26:[65, 6, 49, 42], Operations: []
Exploring Operation: 65+49=114, Resulting Numbers: [6, 42, 114]
Generated Node #2: [6, 42, 114] from Operation: 65+49=114
Current State: 26:[6, 42, 114], Operations: ['65+49=114']
Exploring Operation: 42+114=156, Resulting Numbers: [6, 156]
Generated Node #3: [6, 156] from Operation: 42+114=156
Current State: 26:[6, 156], Operations: ['65+49=114', '42+114=156']
Exploring Operation: 156/6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
9,
55,
68,
4
] | 29 | [
"55-9=46",
"68/4=17",
"46-17=29"
] | Current State: 29:[9, 55, 68, 4], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [68, 4, 46]
Generated Node #2: [68, 4, 46] from Operation: 55-9=46
Current State: 29:[68, 4, 46], Operations: ['55-9=46']
Exploring Operation: 68/4=17, Resulting Numbers: [46, 17]
Generated Node #3: [46, 17] from Operation: 68/4=17
Current State: 29:[46, 17], Operations: ['55-9=46', '68/4=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
30,
5,
19,
48
] | 64 | [
"30+5=35",
"48-19=29",
"35+29=64"
] | Current State: 64:[30, 5, 19, 48], Operations: []
Exploring Operation: 30+5=35, Resulting Numbers: [19, 48, 35]
Generated Node #2: [19, 48, 35] from Operation: 30+5=35
Current State: 64:[19, 48, 35], Operations: ['30+5=35']
Exploring Operation: 48-19=29, Resulting Numbers: [35, 29]
Generated Node #3: [35, 29] from Operation: 48-19=29
Current State: 64:[35, 29], Operations: ['30+5=35', '48-19=29']
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
80,
48,
46,
4
] | 72 | [
"48-46=2",
"4*2=8",
"80-8=72"
] | Current State: 72:[80, 48, 46, 4], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [80, 4, 2]
Generated Node #2: [80, 4, 2] from Operation: 48-46=2
Current State: 72:[80, 4, 2], Operations: ['48-46=2']
Exploring Operation: 4*2=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 4*2=8
Current State: 72:[80, 8], Operations: ['48-46=2', '4*2=8']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
3,
6,
63,
60
] | 41 | [
"6-3=3",
"63+60=123",
"123/3=41"
] | Current State: 41:[3, 6, 63, 60], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [63, 60, 3]
Generated Node #2: [63, 60, 3] from Operation: 6-3=3
Current State: 41:[63, 60, 3], Operations: ['6-3=3']
Exploring Operation: 63+60=123, Resulting Numbers: [3, 123]
Generated Node #3: [3, 123] from Operation: 63+60=123
Current State: 41:[3, 123], Operations: ['6-3=3', '63+60=123']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
87,
32,
21,
43
] | 85 | [
"21+43=64",
"64/32=2",
"87-2=85"
] | Current State: 85:[87, 32, 21, 43], Operations: []
Exploring Operation: 21+43=64, Resulting Numbers: [87, 32, 64]
Generated Node #2: [87, 32, 64] from Operation: 21+43=64
Current State: 85:[87, 32, 64], Operations: ['21+43=64']
Exploring Operation: 64/32=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 64/32=2
Current State: 85:[87, 2], Operations: ['21+43=64', '64/32=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
51,
40,
88,
36
] | 29 | [
"40-36=4",
"88/4=22",
"51-22=29"
] | Current State: 29:[51, 40, 88, 36], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [51, 88, 4]
Generated Node #2: [51, 88, 4] from Operation: 40-36=4
Current State: 29:[51, 88, 4], Operations: ['40-36=4']
Exploring Operation: 88/4=22, Resulting Numbers: [51, 22]
Generated Node #3: [51, 22] from Operation: 88/4=22
Current State: 29:[51, 22], Operations: ['40-36=4', '88/4=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
23,
12,
86,
87
] | 12 | [
"23-12=11",
"87-86=1",
"11+1=12"
] | Current State: 12:[23, 12, 86, 87], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [86, 87, 11]
Generated Node #2: [86, 87, 11] from Operation: 23-12=11
Current State: 12:[86, 87, 11], Operations: ['23-12=11']
Exploring Operation: 87-86=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 87-86=1
Current State: 12:[11, 1], Operations: ['23-12=11', '87-86=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
34,
61,
7,
5
] | 29 | [
"61-34=27",
"7-5=2",
"27+2=29"
] | Current State: 29:[34, 61, 7, 5], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [7, 5, 27]
Generated Node #2: [7, 5, 27] from Operation: 61-34=27
Current State: 29:[7, 5, 27], Operations: ['61-34=27']
Exploring Operation: 7-5=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 7-5=2
Current State: 29:[27, 2], Operations: ['61-34=27', '7-5=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
90,
23,
50,
4
] | 59 | [
"90+23=113",
"50+4=54",
"113-54=59"
] | Current State: 59:[90, 23, 50, 4], Operations: []
Exploring Operation: 90+23=113, Resulting Numbers: [50, 4, 113]
Generated Node #2: [50, 4, 113] from Operation: 90+23=113
Current State: 59:[50, 4, 113], Operations: ['90+23=113']
Exploring Operation: 50+4=54, Resulting Numbers: [113, 54]
Generated Node #3: [113, 54] from Operation: 50+4=54
Current State: 59:[113, 54], Operations: ['90+23=113', '50+4=54']
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
72,
85,
25,
42
] | 17 | [
"72-25=47",
"47-42=5",
"85/5=17"
] | Current State: 17:[72, 85, 25, 42], Operations: []
Exploring Operation: 72-25=47, Resulting Numbers: [85, 42, 47]
Generated Node #2: [85, 42, 47] from Operation: 72-25=47
Current State: 17:[85, 42, 47], Operations: ['72-25=47']
Exploring Operation: 47-42=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 47-42=5
Current State: 17:[85, 5], Operations: ['72-25=47', '47-42=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
5,
97,
90,
30
] | 18 | [
"5+97=102",
"90+30=120",
"120-102=18"
] | Current State: 18:[5, 97, 90, 30], Operations: []
Exploring Operation: 5+97=102, Resulting Numbers: [90, 30, 102]
Generated Node #2: [90, 30, 102] from Operation: 5+97=102
Current State: 18:[90, 30, 102], Operations: ['5+97=102']
Exploring Operation: 90+30=120, Resulting Numbers: [102, 120]
Generated Node #3: [102, 120] from Operation: 90+30=120
Current State: 18:[102, 120], Operations: ['5+97=102', '90+30=120']
Exploring Operation: 120-102=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
61,
67,
1,
93
] | 86 | [
"67-61=6",
"93-1=92",
"92-6=86"
] | Current State: 86:[61, 67, 1, 93], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [1, 93, 6]
Generated Node #2: [1, 93, 6] from Operation: 67-61=6
Current State: 86:[1, 93, 6], Operations: ['67-61=6']
Exploring Operation: 93-1=92, Resulting Numbers: [6, 92]
Generated Node #3: [6, 92] from Operation: 93-1=92
Current State: 86:[6, 92], Operations: ['67-61=6', '93-1=92']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
7,
95,
4,
50
] | 63 | [
"95-4=91",
"91/7=13",
"50+13=63"
] | Current State: 63:[7, 95, 4, 50], Operations: []
Exploring Operation: 95-4=91, Resulting Numbers: [7, 50, 91]
Generated Node #2: [7, 50, 91] from Operation: 95-4=91
Current State: 63:[7, 50, 91], Operations: ['95-4=91']
Exploring Operation: 91/7=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 91/7=13
Current State: 63:[50, 13], Operations: ['95-4=91', '91/7=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
72,
51,
23,
70
] | 26 | [
"72-51=21",
"70-23=47",
"47-21=26"
] | Current State: 26:[72, 51, 23, 70], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [23, 70, 21]
Generated Node #2: [23, 70, 21] from Operation: 72-51=21
Current State: 26:[23, 70, 21], Operations: ['72-51=21']
Exploring Operation: 70-23=47, Resulting Numbers: [21, 47]
Generated Node #3: [21, 47] from Operation: 70-23=47
Current State: 26:[21, 47], Operations: ['72-51=21', '70-23=47']
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
85,
72,
70,
10
] | 73 | [
"85-72=13",
"70-10=60",
"13+60=73"
] | Current State: 73:[85, 72, 70, 10], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [70, 10, 13]
Generated Node #2: [70, 10, 13] from Operation: 85-72=13
Current State: 73:[70, 10, 13], Operations: ['85-72=13']
Exploring Operation: 70-10=60, Resulting Numbers: [13, 60]
Generated Node #3: [13, 60] from Operation: 70-10=60
Current State: 73:[13, 60], Operations: ['85-72=13', '70-10=60']
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
17,
88,
46,
82
] | 69 | [
"17+88=105",
"82-46=36",
"105-36=69"
] | Current State: 69:[17, 88, 46, 82], Operations: []
Exploring Operation: 17+88=105, Resulting Numbers: [46, 82, 105]
Generated Node #2: [46, 82, 105] from Operation: 17+88=105
Current State: 69:[46, 82, 105], Operations: ['17+88=105']
Exploring Operation: 82-46=36, Resulting Numbers: [105, 36]
Generated Node #3: [105, 36] from Operation: 82-46=36
Current State: 69:[105, 36], Operations: ['17+88=105', '82-46=36']
Exploring Operation: 105-36=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
45,
38,
40,
58
] | 90 | [
"45*40=1800",
"58-38=20",
"1800/20=90"
] | Current State: 90:[45, 38, 40, 58], Operations: []
Exploring Operation: 45*40=1800, Resulting Numbers: [38, 58, 1800]
Generated Node #2: [38, 58, 1800] from Operation: 45*40=1800
Current State: 90:[38, 58, 1800], Operations: ['45*40=1800']
Exploring Operation: 58-38=20, Resulting Numbers: [1800, 20]
Generated Node #3: [1800, 20] from Operation: 58-38=20
Current State: 90:[1800, 20], Operations: ['45*40=1800', '58-38=20']
Exploring Operation: 1800/20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
75,
23,
86,
43
] | 54 | [
"75-23=52",
"86/43=2",
"52+2=54"
] | Current State: 54:[75, 23, 86, 43], Operations: []
Exploring Operation: 75-23=52, Resulting Numbers: [86, 43, 52]
Generated Node #2: [86, 43, 52] from Operation: 75-23=52
Current State: 54:[86, 43, 52], Operations: ['75-23=52']
Exploring Operation: 86/43=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 86/43=2
Current State: 54:[52, 2], Operations: ['75-23=52', '86/43=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
49,
68,
73,
48
] | 70 | [
"73-49=24",
"48/24=2",
"68+2=70"
] | Current State: 70:[49, 68, 73, 48], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [68, 48, 24]
Generated Node #2: [68, 48, 24] from Operation: 73-49=24
Current State: 70:[68, 48, 24], Operations: ['73-49=24']
Exploring Operation: 48/24=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 48/24=2
Current State: 70:[68, 2], Operations: ['73-49=24', '48/24=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
84,
73,
69,
99
] | 11 | [
"84+73=157",
"69+99=168",
"168-157=11"
] | Current State: 11:[84, 73, 69, 99], Operations: []
Exploring Operation: 84+73=157, Resulting Numbers: [69, 99, 157]
Generated Node #2: [69, 99, 157] from Operation: 84+73=157
Current State: 11:[69, 99, 157], Operations: ['84+73=157']
Exploring Operation: 69+99=168, Resulting Numbers: [157, 168]
Generated Node #3: [157, 168] from Operation: 69+99=168
Current State: 11:[157, 168], Operations: ['84+73=157', '69+99=168']
Exploring Operation: 168-157=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
57,
53,
3,
99
] | 92 | [
"57-53=4",
"99-3=96",
"96-4=92"
] | Current State: 92:[57, 53, 3, 99], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [3, 99, 4]
Generated Node #2: [3, 99, 4] from Operation: 57-53=4
Current State: 92:[3, 99, 4], Operations: ['57-53=4']
Exploring Operation: 99-3=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 99-3=96
Current State: 92:[4, 96], Operations: ['57-53=4', '99-3=96']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
88,
21,
14,
10
] | 28 | [
"88+10=98",
"98/14=7",
"21+7=28"
] | Current State: 28:[88, 21, 14, 10], Operations: []
Exploring Operation: 88+10=98, Resulting Numbers: [21, 14, 98]
Generated Node #2: [21, 14, 98] from Operation: 88+10=98
Current State: 28:[21, 14, 98], Operations: ['88+10=98']
Exploring Operation: 98/14=7, Resulting Numbers: [21, 7]
Generated Node #3: [21, 7] from Operation: 98/14=7
Current State: 28:[21, 7], Operations: ['88+10=98', '98/14=7']
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
92,
80,
43,
29
] | 33 | [
"92+80=172",
"172/43=4",
"29+4=33"
] | Current State: 33:[92, 80, 43, 29], Operations: []
Exploring Operation: 92+80=172, Resulting Numbers: [43, 29, 172]
Generated Node #2: [43, 29, 172] from Operation: 92+80=172
Current State: 33:[43, 29, 172], Operations: ['92+80=172']
Exploring Operation: 172/43=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 172/43=4
Current State: 33:[29, 4], Operations: ['92+80=172', '172/43=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
62,
96,
54,
5
] | 83 | [
"96-62=34",
"54-5=49",
"34+49=83"
] | Current State: 83:[62, 96, 54, 5], Operations: []
Exploring Operation: 96-62=34, Resulting Numbers: [54, 5, 34]
Generated Node #2: [54, 5, 34] from Operation: 96-62=34
Current State: 83:[54, 5, 34], Operations: ['96-62=34']
Exploring Operation: 54-5=49, Resulting Numbers: [34, 49]
Generated Node #3: [34, 49] from Operation: 54-5=49
Current State: 83:[34, 49], Operations: ['96-62=34', '54-5=49']
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
39,
38,
39,
67
] | 49 | [
"39+38=77",
"67-39=28",
"77-28=49"
] | Current State: 49:[39, 38, 39, 67], Operations: []
Exploring Operation: 39+38=77, Resulting Numbers: [67, 77]
Generated Node #2: [67, 77] from Operation: 39+38=77
Current State: 49:[67, 77], Operations: ['39+38=77']
Exploring Operation: 67-39=28, Resulting Numbers: [77, 28]
Generated Node #3: [77, 28] from Operation: 67-39=28
Current State: 49:[77, 28], Operations: ['39+38=77', '67-39=28']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
96,
21,
22,
11
] | 64 | [
"96-21=75",
"22-11=11",
"75-11=64"
] | Current State: 64:[96, 21, 22, 11], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [22, 11, 75]
Generated Node #2: [22, 11, 75] from Operation: 96-21=75
Current State: 64:[22, 11, 75], Operations: ['96-21=75']
Exploring Operation: 22-11=11, Resulting Numbers: [75, 11]
Generated Node #3: [75, 11] from Operation: 22-11=11
Current State: 64:[75, 11], Operations: ['96-21=75', '22-11=11']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
26,
17,
23,
27
] | 26 | [
"26-17=9",
"27/9=3",
"23+3=26"
] | Current State: 26:[26, 17, 23, 27], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [23, 27, 9]
Generated Node #2: [23, 27, 9] from Operation: 26-17=9
Current State: 26:[23, 27, 9], Operations: ['26-17=9']
Exploring Operation: 27/9=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 27/9=3
Current State: 26:[23, 3], Operations: ['26-17=9', '27/9=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
35,
31,
89,
6
] | 90 | [
"35*6=210",
"31+89=120",
"210-120=90"
] | Current State: 90:[35, 31, 89, 6], Operations: []
Exploring Operation: 35*6=210, Resulting Numbers: [31, 89, 210]
Generated Node #2: [31, 89, 210] from Operation: 35*6=210
Current State: 90:[31, 89, 210], Operations: ['35*6=210']
Exploring Operation: 31+89=120, Resulting Numbers: [210, 120]
Generated Node #3: [210, 120] from Operation: 31+89=120
Current State: 90:[210, 120], Operations: ['35*6=210', '31+89=120']
Exploring Operation: 210-120=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
74,
46,
27,
72
] | 21 | [
"74+46=120",
"27+72=99",
"120-99=21"
] | Current State: 21:[74, 46, 27, 72], Operations: []
Exploring Operation: 74+46=120, Resulting Numbers: [27, 72, 120]
Generated Node #2: [27, 72, 120] from Operation: 74+46=120
Current State: 21:[27, 72, 120], Operations: ['74+46=120']
Exploring Operation: 27+72=99, Resulting Numbers: [120, 99]
Generated Node #3: [120, 99] from Operation: 27+72=99
Current State: 21:[120, 99], Operations: ['74+46=120', '27+72=99']
Exploring Operation: 120-99=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
50,
56,
99,
22
] | 38 | [
"99*22=2178",
"2178-50=2128",
"2128/56=38"
] | Current State: 38:[50, 56, 99, 22], Operations: []
Exploring Operation: 99*22=2178, Resulting Numbers: [50, 56, 2178]
Generated Node #2: [50, 56, 2178] from Operation: 99*22=2178
Current State: 38:[50, 56, 2178], Operations: ['99*22=2178']
Exploring Operation: 2178-50=2128, Resulting Numbers: [56, 2128]
Generated Node #3: [56, 2128] from Operation: 2178-50=2128
Current State: 38:[56, 2128], Operations: ['99*22=2178', '2178-50=2128']
Exploring Operation: 2128/56=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
49,
22,
84,
28
] | 29 | [
"49-22=27",
"84-28=56",
"56-27=29"
] | Current State: 29:[49, 22, 84, 28], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [84, 28, 27]
Generated Node #2: [84, 28, 27] from Operation: 49-22=27
Current State: 29:[84, 28, 27], Operations: ['49-22=27']
Exploring Operation: 84-28=56, Resulting Numbers: [27, 56]
Generated Node #3: [27, 56] from Operation: 84-28=56
Current State: 29:[27, 56], Operations: ['49-22=27', '84-28=56']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
33,
42,
24,
66
] | 68 | [
"66/33=2",
"42+24=66",
"2+66=68"
] | Current State: 68:[33, 42, 24, 66], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [42, 24, 2]
Generated Node #2: [42, 24, 2] from Operation: 66/33=2
Current State: 68:[42, 24, 2], Operations: ['66/33=2']
Exploring Operation: 42+24=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 42+24=66
Current State: 68:[2, 66], Operations: ['66/33=2', '42+24=66']
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
32,
42,
50,
48
] | 38 | [
"50-42=8",
"48/8=6",
"32+6=38"
] | Current State: 38:[32, 42, 50, 48], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [32, 48, 8]
Generated Node #2: [32, 48, 8] from Operation: 50-42=8
Current State: 38:[32, 48, 8], Operations: ['50-42=8']
Exploring Operation: 48/8=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 48/8=6
Current State: 38:[32, 6], Operations: ['50-42=8', '48/8=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
14,
93,
31,
21
] | 49 | [
"93/31=3",
"21*3=63",
"63-14=49"
] | Current State: 49:[14, 93, 31, 21], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [14, 21, 3]
Generated Node #2: [14, 21, 3] from Operation: 93/31=3
Current State: 49:[14, 21, 3], Operations: ['93/31=3']
Exploring Operation: 21*3=63, Resulting Numbers: [14, 63]
Generated Node #3: [14, 63] from Operation: 21*3=63
Current State: 49:[14, 63], Operations: ['93/31=3', '21*3=63']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
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