nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
28,
77,
23,
72
] | 56 | [
"28+77=105",
"72-23=49",
"105-49=56"
] | Current State: 56:[28, 77, 23, 72], Operations: []
Exploring Operation: 28+77=105, Resulting Numbers: [23, 72, 105]
Generated Node #2: [23, 72, 105] from Operation: 28+77=105
Current State: 56:[23, 72, 105], Operations: ['28+77=105']
Exploring Operation: 72-23=49, Resulting Numbers: [105, 49]
Generated Node #3: [105, 49] from Operation: 72-23=49
Current State: 56:[105, 49], Operations: ['28+77=105', '72-23=49']
Exploring Operation: 105-49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
6,
55,
85,
64
] | 31 | [
"64-55=9",
"6*9=54",
"85-54=31"
] | Current State: 31:[6, 55, 85, 64], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [6, 85, 9]
Generated Node #2: [6, 85, 9] from Operation: 64-55=9
Current State: 31:[6, 85, 9], Operations: ['64-55=9']
Exploring Operation: 6*9=54, Resulting Numbers: [85, 54]
Generated Node #3: [85, 54] from Operation: 6*9=54
Current State: 31:[85, 54], Operations: ['64-55=9', '6*9=54']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
12,
8,
78,
8
] | 65 | [
"78-12=66",
"8/8=1",
"66-1=65"
] | Current State: 65:[12, 8, 78, 8], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [8, 8, 66]
Generated Node #2: [8, 8, 66] from Operation: 78-12=66
Current State: 65:[8, 8, 66], Operations: ['78-12=66']
Exploring Operation: 8/8=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 8/8=1
Current State: 65:[66, 1], Operations: ['78-12=66', '8/8=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
80,
18,
6,
30
] | 62 | [
"80+18=98",
"6+30=36",
"98-36=62"
] | Current State: 62:[80, 18, 6, 30], Operations: []
Exploring Operation: 80+18=98, Resulting Numbers: [6, 30, 98]
Generated Node #2: [6, 30, 98] from Operation: 80+18=98
Current State: 62:[6, 30, 98], Operations: ['80+18=98']
Exploring Operation: 6+30=36, Resulting Numbers: [98, 36]
Generated Node #3: [98, 36] from Operation: 6+30=36
Current State: 62:[98, 36], Operations: ['80+18=98', '6+30=36']
Exploring Operation: 98-36=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
37,
4,
97
] | 14 | [
"97-5=92",
"92/4=23",
"37-23=14"
] | Current State: 14:[5, 37, 4, 97], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [37, 4, 92]
Generated Node #2: [37, 4, 92] from Operation: 97-5=92
Current State: 14:[37, 4, 92], Operations: ['97-5=92']
Exploring Operation: 92/4=23, Resulting Numbers: [37, 23]
Generated Node #3: [37, 23] from Operation: 92/4=23
Current State: 14:[37, 23], Operations: ['97-5=92', '92/4=23']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
81,
27,
18,
9
] | 34 | [
"81-18=63",
"63/9=7",
"27+7=34"
] | Current State: 34:[81, 27, 18, 9], Operations: []
Exploring Operation: 81-18=63, Resulting Numbers: [27, 9, 63]
Generated Node #2: [27, 9, 63] from Operation: 81-18=63
Current State: 34:[27, 9, 63], Operations: ['81-18=63']
Exploring Operation: 63/9=7, Resulting Numbers: [27, 7]
Generated Node #3: [27, 7] from Operation: 63/9=7
Current State: 34:[27, 7], Operations: ['81-18=63', '63/9=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
65,
86,
8
] | 63 | [
"65-34=31",
"86+8=94",
"94-31=63"
] | Current State: 63:[34, 65, 86, 8], Operations: []
Exploring Operation: 65-34=31, Resulting Numbers: [86, 8, 31]
Generated Node #2: [86, 8, 31] from Operation: 65-34=31
Current State: 63:[86, 8, 31], Operations: ['65-34=31']
Exploring Operation: 86+8=94, Resulting Numbers: [31, 94]
Generated Node #3: [31, 94] from Operation: 86+8=94
Current State: 63:[31, 94], Operations: ['65-34=31', '86+8=94']
Exploring Operation: 94-31=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
73,
48,
71,
24
] | 74 | [
"73+48=121",
"71-24=47",
"121-47=74"
] | Current State: 74:[73, 48, 71, 24], Operations: []
Exploring Operation: 73+48=121, Resulting Numbers: [71, 24, 121]
Generated Node #2: [71, 24, 121] from Operation: 73+48=121
Current State: 74:[71, 24, 121], Operations: ['73+48=121']
Exploring Operation: 71-24=47, Resulting Numbers: [121, 47]
Generated Node #3: [121, 47] from Operation: 71-24=47
Current State: 74:[121, 47], Operations: ['73+48=121', '71-24=47']
Exploring Operation: 121-47=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
66,
86,
77,
17
] | 80 | [
"86-66=20",
"77-17=60",
"20+60=80"
] | Current State: 80:[66, 86, 77, 17], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [77, 17, 20]
Generated Node #2: [77, 17, 20] from Operation: 86-66=20
Current State: 80:[77, 17, 20], Operations: ['86-66=20']
Exploring Operation: 77-17=60, Resulting Numbers: [20, 60]
Generated Node #3: [20, 60] from Operation: 77-17=60
Current State: 80:[20, 60], Operations: ['86-66=20', '77-17=60']
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
64,
23,
53
] | 61 | [
"64-49=15",
"23+53=76",
"76-15=61"
] | Current State: 61:[49, 64, 23, 53], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [23, 53, 15]
Generated Node #2: [23, 53, 15] from Operation: 64-49=15
Current State: 61:[23, 53, 15], Operations: ['64-49=15']
Exploring Operation: 23+53=76, Resulting Numbers: [15, 76]
Generated Node #3: [15, 76] from Operation: 23+53=76
Current State: 61:[15, 76], Operations: ['64-49=15', '23+53=76']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
84,
53,
32,
14
] | 27 | [
"84/14=6",
"53-32=21",
"6+21=27"
] | Current State: 27:[84, 53, 32, 14], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [53, 32, 6]
Generated Node #2: [53, 32, 6] from Operation: 84/14=6
Current State: 27:[53, 32, 6], Operations: ['84/14=6']
Exploring Operation: 53-32=21, Resulting Numbers: [6, 21]
Generated Node #3: [6, 21] from Operation: 53-32=21
Current State: 27:[6, 21], Operations: ['84/14=6', '53-32=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
85,
81,
80,
6
] | 15 | [
"85-80=5",
"81-6=75",
"75/5=15"
] | Current State: 15:[85, 81, 80, 6], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [81, 6, 5]
Generated Node #2: [81, 6, 5] from Operation: 85-80=5
Current State: 15:[81, 6, 5], Operations: ['85-80=5']
Exploring Operation: 81-6=75, Resulting Numbers: [5, 75]
Generated Node #3: [5, 75] from Operation: 81-6=75
Current State: 15:[5, 75], Operations: ['85-80=5', '81-6=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
79,
4,
11,
45
] | 65 | [
"11+45=56",
"56/4=14",
"79-14=65"
] | Current State: 65:[79, 4, 11, 45], Operations: []
Exploring Operation: 11+45=56, Resulting Numbers: [79, 4, 56]
Generated Node #2: [79, 4, 56] from Operation: 11+45=56
Current State: 65:[79, 4, 56], Operations: ['11+45=56']
Exploring Operation: 56/4=14, Resulting Numbers: [79, 14]
Generated Node #3: [79, 14] from Operation: 56/4=14
Current State: 65:[79, 14], Operations: ['11+45=56', '56/4=14']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
60,
51,
83,
18
] | 74 | [
"60-51=9",
"83-18=65",
"9+65=74"
] | Current State: 74:[60, 51, 83, 18], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [83, 18, 9]
Generated Node #2: [83, 18, 9] from Operation: 60-51=9
Current State: 74:[83, 18, 9], Operations: ['60-51=9']
Exploring Operation: 83-18=65, Resulting Numbers: [9, 65]
Generated Node #3: [9, 65] from Operation: 83-18=65
Current State: 74:[9, 65], Operations: ['60-51=9', '83-18=65']
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
12,
17,
33,
48
] | 10 | [
"17-12=5",
"48-33=15",
"15-5=10"
] | Current State: 10:[12, 17, 33, 48], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [33, 48, 5]
Generated Node #2: [33, 48, 5] from Operation: 17-12=5
Current State: 10:[33, 48, 5], Operations: ['17-12=5']
Exploring Operation: 48-33=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 48-33=15
Current State: 10:[5, 15], Operations: ['17-12=5', '48-33=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
90,
25,
1,
8
] | 56 | [
"90-25=65",
"1+8=9",
"65-9=56"
] | Current State: 56:[90, 25, 1, 8], Operations: []
Exploring Operation: 90-25=65, Resulting Numbers: [1, 8, 65]
Generated Node #2: [1, 8, 65] from Operation: 90-25=65
Current State: 56:[1, 8, 65], Operations: ['90-25=65']
Exploring Operation: 1+8=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 1+8=9
Current State: 56:[65, 9], Operations: ['90-25=65', '1+8=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
39,
5,
61,
23
] | 43 | [
"39+61=100",
"100/5=20",
"23+20=43"
] | Current State: 43:[39, 5, 61, 23], Operations: []
Exploring Operation: 39+61=100, Resulting Numbers: [5, 23, 100]
Generated Node #2: [5, 23, 100] from Operation: 39+61=100
Current State: 43:[5, 23, 100], Operations: ['39+61=100']
Exploring Operation: 100/5=20, Resulting Numbers: [23, 20]
Generated Node #3: [23, 20] from Operation: 100/5=20
Current State: 43:[23, 20], Operations: ['39+61=100', '100/5=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
29,
33,
96,
69
] | 35 | [
"29+33=62",
"96-69=27",
"62-27=35"
] | Current State: 35:[29, 33, 96, 69], Operations: []
Exploring Operation: 29+33=62, Resulting Numbers: [96, 69, 62]
Generated Node #2: [96, 69, 62] from Operation: 29+33=62
Current State: 35:[96, 69, 62], Operations: ['29+33=62']
Exploring Operation: 96-69=27, Resulting Numbers: [62, 27]
Generated Node #3: [62, 27] from Operation: 96-69=27
Current State: 35:[62, 27], Operations: ['29+33=62', '96-69=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
55,
66,
68,
72
] | 62 | [
"72-55=17",
"68/17=4",
"66-4=62"
] | Current State: 62:[55, 66, 68, 72], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [66, 68, 17]
Generated Node #2: [66, 68, 17] from Operation: 72-55=17
Current State: 62:[66, 68, 17], Operations: ['72-55=17']
Exploring Operation: 68/17=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 68/17=4
Current State: 62:[66, 4], Operations: ['72-55=17', '68/17=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
32,
17,
38,
77
] | 54 | [
"32-17=15",
"77-38=39",
"15+39=54"
] | Current State: 54:[32, 17, 38, 77], Operations: []
Exploring Operation: 32-17=15, Resulting Numbers: [38, 77, 15]
Generated Node #2: [38, 77, 15] from Operation: 32-17=15
Current State: 54:[38, 77, 15], Operations: ['32-17=15']
Exploring Operation: 77-38=39, Resulting Numbers: [15, 39]
Generated Node #3: [15, 39] from Operation: 77-38=39
Current State: 54:[15, 39], Operations: ['32-17=15', '77-38=39']
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
27,
50,
52,
45
] | 83 | [
"50-45=5",
"27*5=135",
"135-52=83"
] | Current State: 83:[27, 50, 52, 45], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [27, 52, 5]
Generated Node #2: [27, 52, 5] from Operation: 50-45=5
Current State: 83:[27, 52, 5], Operations: ['50-45=5']
Exploring Operation: 27*5=135, Resulting Numbers: [52, 135]
Generated Node #3: [52, 135] from Operation: 27*5=135
Current State: 83:[52, 135], Operations: ['50-45=5', '27*5=135']
Exploring Operation: 135-52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
51,
51,
70,
70
] | 38 | [
"51+51=102",
"70+70=140",
"140-102=38"
] | Current State: 38:[51, 51, 70, 70], Operations: []
Exploring Operation: 51+51=102, Resulting Numbers: [70, 70, 102]
Generated Node #2: [70, 70, 102] from Operation: 51+51=102
Current State: 38:[70, 70, 102], Operations: ['51+51=102']
Exploring Operation: 70+70=140, Resulting Numbers: [102, 140]
Generated Node #3: [102, 140] from Operation: 70+70=140
Current State: 38:[102, 140], Operations: ['51+51=102', '70+70=140']
Exploring Operation: 140-102=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
88,
84,
29,
40
] | 39 | [
"88-84=4",
"40/4=10",
"29+10=39"
] | Current State: 39:[88, 84, 29, 40], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [29, 40, 4]
Generated Node #2: [29, 40, 4] from Operation: 88-84=4
Current State: 39:[29, 40, 4], Operations: ['88-84=4']
Exploring Operation: 40/4=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 40/4=10
Current State: 39:[29, 10], Operations: ['88-84=4', '40/4=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
50,
12,
12,
81
] | 55 | [
"50-12=38",
"12+81=93",
"93-38=55"
] | Current State: 55:[50, 12, 12, 81], Operations: []
Exploring Operation: 50-12=38, Resulting Numbers: [81, 38]
Generated Node #2: [81, 38] from Operation: 50-12=38
Current State: 55:[81, 38], Operations: ['50-12=38']
Exploring Operation: 12+81=93, Resulting Numbers: [38, 93]
Generated Node #3: [38, 93] from Operation: 12+81=93
Current State: 55:[38, 93], Operations: ['50-12=38', '12+81=93']
Exploring Operation: 93-38=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
75,
11,
65,
25
] | 98 | [
"75*11=825",
"825/25=33",
"65+33=98"
] | Current State: 98:[75, 11, 65, 25], Operations: []
Exploring Operation: 75*11=825, Resulting Numbers: [65, 25, 825]
Generated Node #2: [65, 25, 825] from Operation: 75*11=825
Current State: 98:[65, 25, 825], Operations: ['75*11=825']
Exploring Operation: 825/25=33, Resulting Numbers: [65, 33]
Generated Node #3: [65, 33] from Operation: 825/25=33
Current State: 98:[65, 33], Operations: ['75*11=825', '825/25=33']
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
99,
24,
8,
33
] | 100 | [
"99-24=75",
"33-8=25",
"75+25=100"
] | Current State: 100:[99, 24, 8, 33], Operations: []
Exploring Operation: 99-24=75, Resulting Numbers: [8, 33, 75]
Generated Node #2: [8, 33, 75] from Operation: 99-24=75
Current State: 100:[8, 33, 75], Operations: ['99-24=75']
Exploring Operation: 33-8=25, Resulting Numbers: [75, 25]
Generated Node #3: [75, 25] from Operation: 33-8=25
Current State: 100:[75, 25], Operations: ['99-24=75', '33-8=25']
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
13,
91,
67,
91
] | 31 | [
"91/13=7",
"91-67=24",
"7+24=31"
] | Current State: 31:[13, 91, 67, 91], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [67, 7]
Generated Node #2: [67, 7] from Operation: 91/13=7
Current State: 31:[67, 7], Operations: ['91/13=7']
Exploring Operation: 91-67=24, Resulting Numbers: [7, 24]
Generated Node #3: [7, 24] from Operation: 91-67=24
Current State: 31:[7, 24], Operations: ['91/13=7', '91-67=24']
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
76,
75,
68,
58
] | 72 | [
"75-58=17",
"68/17=4",
"76-4=72"
] | Current State: 72:[76, 75, 68, 58], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [76, 68, 17]
Generated Node #2: [76, 68, 17] from Operation: 75-58=17
Current State: 72:[76, 68, 17], Operations: ['75-58=17']
Exploring Operation: 68/17=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 68/17=4
Current State: 72:[76, 4], Operations: ['75-58=17', '68/17=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
73,
65,
3,
9
] | 99 | [
"73-65=8",
"3+8=11",
"9*11=99"
] | Current State: 99:[73, 65, 3, 9], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [3, 9, 8]
Generated Node #2: [3, 9, 8] from Operation: 73-65=8
Current State: 99:[3, 9, 8], Operations: ['73-65=8']
Exploring Operation: 3+8=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 3+8=11
Current State: 99:[9, 11], Operations: ['73-65=8', '3+8=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
42,
24,
17,
48
] | 49 | [
"42-24=18",
"48-17=31",
"18+31=49"
] | Current State: 49:[42, 24, 17, 48], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [17, 48, 18]
Generated Node #2: [17, 48, 18] from Operation: 42-24=18
Current State: 49:[17, 48, 18], Operations: ['42-24=18']
Exploring Operation: 48-17=31, Resulting Numbers: [18, 31]
Generated Node #3: [18, 31] from Operation: 48-17=31
Current State: 49:[18, 31], Operations: ['42-24=18', '48-17=31']
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
62,
53,
51,
29
] | 31 | [
"62-53=9",
"51-29=22",
"9+22=31"
] | Current State: 31:[62, 53, 51, 29], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [51, 29, 9]
Generated Node #2: [51, 29, 9] from Operation: 62-53=9
Current State: 31:[51, 29, 9], Operations: ['62-53=9']
Exploring Operation: 51-29=22, Resulting Numbers: [9, 22]
Generated Node #3: [9, 22] from Operation: 51-29=22
Current State: 31:[9, 22], Operations: ['62-53=9', '51-29=22']
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
22,
72,
92,
2
] | 62 | [
"92-72=20",
"2*20=40",
"22+40=62"
] | Current State: 62:[22, 72, 92, 2], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [22, 2, 20]
Generated Node #2: [22, 2, 20] from Operation: 92-72=20
Current State: 62:[22, 2, 20], Operations: ['92-72=20']
Exploring Operation: 2*20=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 2*20=40
Current State: 62:[22, 40], Operations: ['92-72=20', '2*20=40']
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
66,
54,
96,
63
] | 71 | [
"66-54=12",
"96/12=8",
"63+8=71"
] | Current State: 71:[66, 54, 96, 63], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [96, 63, 12]
Generated Node #2: [96, 63, 12] from Operation: 66-54=12
Current State: 71:[96, 63, 12], Operations: ['66-54=12']
Exploring Operation: 96/12=8, Resulting Numbers: [63, 8]
Generated Node #3: [63, 8] from Operation: 96/12=8
Current State: 71:[63, 8], Operations: ['66-54=12', '96/12=8']
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
16,
16,
7,
6
] | 35 | [
"16/16=1",
"6-1=5",
"7*5=35"
] | Current State: 35:[16, 16, 7, 6], Operations: []
Exploring Operation: 16/16=1, Resulting Numbers: [7, 6, 1]
Generated Node #2: [7, 6, 1] from Operation: 16/16=1
Current State: 35:[7, 6, 1], Operations: ['16/16=1']
Exploring Operation: 6-1=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 6-1=5
Current State: 35:[7, 5], Operations: ['16/16=1', '6-1=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
19,
13,
78,
4
] | 93 | [
"13-4=9",
"19*9=171",
"171-78=93"
] | Current State: 93:[19, 13, 78, 4], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [19, 78, 9]
Generated Node #2: [19, 78, 9] from Operation: 13-4=9
Current State: 93:[19, 78, 9], Operations: ['13-4=9']
Exploring Operation: 19*9=171, Resulting Numbers: [78, 171]
Generated Node #3: [78, 171] from Operation: 19*9=171
Current State: 93:[78, 171], Operations: ['13-4=9', '19*9=171']
Exploring Operation: 171-78=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
73,
99,
25,
43
] | 43 | [
"99-73=26",
"26-25=1",
"43*1=43"
] | Current State: 43:[73, 99, 25, 43], Operations: []
Exploring Operation: 99-73=26, Resulting Numbers: [25, 43, 26]
Generated Node #2: [25, 43, 26] from Operation: 99-73=26
Current State: 43:[25, 43, 26], Operations: ['99-73=26']
Exploring Operation: 26-25=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 26-25=1
Current State: 43:[43, 1], Operations: ['99-73=26', '26-25=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
65,
52,
52,
14
] | 80 | [
"65+14=79",
"52/52=1",
"79+1=80"
] | Current State: 80:[65, 52, 52, 14], Operations: []
Exploring Operation: 65+14=79, Resulting Numbers: [52, 52, 79]
Generated Node #2: [52, 52, 79] from Operation: 65+14=79
Current State: 80:[52, 52, 79], Operations: ['65+14=79']
Exploring Operation: 52/52=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 52/52=1
Current State: 80:[79, 1], Operations: ['65+14=79', '52/52=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
2,
59,
35,
61
] | 98 | [
"2*61=122",
"59-35=24",
"122-24=98"
] | Current State: 98:[2, 59, 35, 61], Operations: []
Exploring Operation: 2*61=122, Resulting Numbers: [59, 35, 122]
Generated Node #2: [59, 35, 122] from Operation: 2*61=122
Current State: 98:[59, 35, 122], Operations: ['2*61=122']
Exploring Operation: 59-35=24, Resulting Numbers: [122, 24]
Generated Node #3: [122, 24] from Operation: 59-35=24
Current State: 98:[122, 24], Operations: ['2*61=122', '59-35=24']
Exploring Operation: 122-24=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
25,
3,
26,
82
] | 99 | [
"25+26=51",
"51/3=17",
"82+17=99"
] | Current State: 99:[25, 3, 26, 82], Operations: []
Exploring Operation: 25+26=51, Resulting Numbers: [3, 82, 51]
Generated Node #2: [3, 82, 51] from Operation: 25+26=51
Current State: 99:[3, 82, 51], Operations: ['25+26=51']
Exploring Operation: 51/3=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 51/3=17
Current State: 99:[82, 17], Operations: ['25+26=51', '51/3=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
80,
41,
36,
46
] | 82 | [
"80-36=44",
"46-44=2",
"41*2=82"
] | Current State: 82:[80, 41, 36, 46], Operations: []
Exploring Operation: 80-36=44, Resulting Numbers: [41, 46, 44]
Generated Node #2: [41, 46, 44] from Operation: 80-36=44
Current State: 82:[41, 46, 44], Operations: ['80-36=44']
Exploring Operation: 46-44=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 46-44=2
Current State: 82:[41, 2], Operations: ['80-36=44', '46-44=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
50,
44,
74,
50
] | 44 | [
"50-50=0",
"74*0=0",
"44+0=44"
] | Current State: 44:[50, 44, 74, 50], Operations: []
Exploring Operation: 50-50=0, Resulting Numbers: [44, 74, 0]
Generated Node #2: [44, 74, 0] from Operation: 50-50=0
Current State: 44:[44, 74, 0], Operations: ['50-50=0']
Exploring Operation: 74*0=0, Resulting Numbers: [44, 0]
Generated Node #3: [44, 0] from Operation: 74*0=0
Current State: 44:[44, 0], Operations: ['50-50=0', '74*0=0']
Exploring Operation: 44+0=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
87,
47,
99,
42
] | 77 | [
"87+47=134",
"99-42=57",
"134-57=77"
] | Current State: 77:[87, 47, 99, 42], Operations: []
Exploring Operation: 87+47=134, Resulting Numbers: [99, 42, 134]
Generated Node #2: [99, 42, 134] from Operation: 87+47=134
Current State: 77:[99, 42, 134], Operations: ['87+47=134']
Exploring Operation: 99-42=57, Resulting Numbers: [134, 57]
Generated Node #3: [134, 57] from Operation: 99-42=57
Current State: 77:[134, 57], Operations: ['87+47=134', '99-42=57']
Exploring Operation: 134-57=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
91,
44,
89,
10
] | 98 | [
"91-89=2",
"44*2=88",
"10+88=98"
] | Current State: 98:[91, 44, 89, 10], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [44, 10, 2]
Generated Node #2: [44, 10, 2] from Operation: 91-89=2
Current State: 98:[44, 10, 2], Operations: ['91-89=2']
Exploring Operation: 44*2=88, Resulting Numbers: [10, 88]
Generated Node #3: [10, 88] from Operation: 44*2=88
Current State: 98:[10, 88], Operations: ['91-89=2', '44*2=88']
Exploring Operation: 10+88=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
94,
56,
80,
84
] | 34 | [
"94-56=38",
"84-80=4",
"38-4=34"
] | Current State: 34:[94, 56, 80, 84], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [80, 84, 38]
Generated Node #2: [80, 84, 38] from Operation: 94-56=38
Current State: 34:[80, 84, 38], Operations: ['94-56=38']
Exploring Operation: 84-80=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 84-80=4
Current State: 34:[38, 4], Operations: ['94-56=38', '84-80=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
65,
31,
55,
44
] | 83 | [
"65*44=2860",
"2860/55=52",
"31+52=83"
] | Current State: 83:[65, 31, 55, 44], Operations: []
Exploring Operation: 65*44=2860, Resulting Numbers: [31, 55, 2860]
Generated Node #2: [31, 55, 2860] from Operation: 65*44=2860
Current State: 83:[31, 55, 2860], Operations: ['65*44=2860']
Exploring Operation: 2860/55=52, Resulting Numbers: [31, 52]
Generated Node #3: [31, 52] from Operation: 2860/55=52
Current State: 83:[31, 52], Operations: ['65*44=2860', '2860/55=52']
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
79,
18,
47,
69
] | 19 | [
"79+18=97",
"47+69=116",
"116-97=19"
] | Current State: 19:[79, 18, 47, 69], Operations: []
Exploring Operation: 79+18=97, Resulting Numbers: [47, 69, 97]
Generated Node #2: [47, 69, 97] from Operation: 79+18=97
Current State: 19:[47, 69, 97], Operations: ['79+18=97']
Exploring Operation: 47+69=116, Resulting Numbers: [97, 116]
Generated Node #3: [97, 116] from Operation: 47+69=116
Current State: 19:[97, 116], Operations: ['79+18=97', '47+69=116']
Exploring Operation: 116-97=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
22,
97,
19,
5
] | 84 | [
"97*19=1843",
"5+1843=1848",
"1848/22=84"
] | Current State: 84:[22, 97, 19, 5], Operations: []
Exploring Operation: 97*19=1843, Resulting Numbers: [22, 5, 1843]
Generated Node #2: [22, 5, 1843] from Operation: 97*19=1843
Current State: 84:[22, 5, 1843], Operations: ['97*19=1843']
Exploring Operation: 5+1843=1848, Resulting Numbers: [22, 1848]
Generated Node #3: [22, 1848] from Operation: 5+1843=1848
Current State: 84:[22, 1848], Operations: ['97*19=1843', '5+1843=1848']
Exploring Operation: 1848/22=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
27,
29,
20,
47
] | 65 | [
"29-27=2",
"20+47=67",
"67-2=65"
] | Current State: 65:[27, 29, 20, 47], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [20, 47, 2]
Generated Node #2: [20, 47, 2] from Operation: 29-27=2
Current State: 65:[20, 47, 2], Operations: ['29-27=2']
Exploring Operation: 20+47=67, Resulting Numbers: [2, 67]
Generated Node #3: [2, 67] from Operation: 20+47=67
Current State: 65:[2, 67], Operations: ['29-27=2', '20+47=67']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
50,
35,
12,
40
] | 33 | [
"50+35=85",
"12+40=52",
"85-52=33"
] | Current State: 33:[50, 35, 12, 40], Operations: []
Exploring Operation: 50+35=85, Resulting Numbers: [12, 40, 85]
Generated Node #2: [12, 40, 85] from Operation: 50+35=85
Current State: 33:[12, 40, 85], Operations: ['50+35=85']
Exploring Operation: 12+40=52, Resulting Numbers: [85, 52]
Generated Node #3: [85, 52] from Operation: 12+40=52
Current State: 33:[85, 52], Operations: ['50+35=85', '12+40=52']
Exploring Operation: 85-52=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
67,
15,
69,
94
] | 64 | [
"69-67=2",
"15*2=30",
"94-30=64"
] | Current State: 64:[67, 15, 69, 94], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [15, 94, 2]
Generated Node #2: [15, 94, 2] from Operation: 69-67=2
Current State: 64:[15, 94, 2], Operations: ['69-67=2']
Exploring Operation: 15*2=30, Resulting Numbers: [94, 30]
Generated Node #3: [94, 30] from Operation: 15*2=30
Current State: 64:[94, 30], Operations: ['69-67=2', '15*2=30']
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
78,
20,
38,
48
] | 76 | [
"48-38=10",
"20/10=2",
"78-2=76"
] | Current State: 76:[78, 20, 38, 48], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [78, 20, 10]
Generated Node #2: [78, 20, 10] from Operation: 48-38=10
Current State: 76:[78, 20, 10], Operations: ['48-38=10']
Exploring Operation: 20/10=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 20/10=2
Current State: 76:[78, 2], Operations: ['48-38=10', '20/10=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
34,
36,
53,
48
] | 96 | [
"34*48=1632",
"53-36=17",
"1632/17=96"
] | Current State: 96:[34, 36, 53, 48], Operations: []
Exploring Operation: 34*48=1632, Resulting Numbers: [36, 53, 1632]
Generated Node #2: [36, 53, 1632] from Operation: 34*48=1632
Current State: 96:[36, 53, 1632], Operations: ['34*48=1632']
Exploring Operation: 53-36=17, Resulting Numbers: [1632, 17]
Generated Node #3: [1632, 17] from Operation: 53-36=17
Current State: 96:[1632, 17], Operations: ['34*48=1632', '53-36=17']
Exploring Operation: 1632/17=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
44,
89,
62,
56
] | 51 | [
"89-44=45",
"62-56=6",
"45+6=51"
] | Current State: 51:[44, 89, 62, 56], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [62, 56, 45]
Generated Node #2: [62, 56, 45] from Operation: 89-44=45
Current State: 51:[62, 56, 45], Operations: ['89-44=45']
Exploring Operation: 62-56=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 62-56=6
Current State: 51:[45, 6], Operations: ['89-44=45', '62-56=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
33,
1,
66,
88
] | 90 | [
"33*1=33",
"66/33=2",
"88+2=90"
] | Current State: 90:[33, 1, 66, 88], Operations: []
Exploring Operation: 33*1=33, Resulting Numbers: [66, 88, 33]
Generated Node #2: [66, 88, 33] from Operation: 33*1=33
Current State: 90:[66, 88, 33], Operations: ['33*1=33']
Exploring Operation: 66/33=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 66/33=2
Current State: 90:[88, 2], Operations: ['33*1=33', '66/33=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
91,
75,
2,
1
] | 30 | [
"91-75=16",
"16-1=15",
"2*15=30"
] | Current State: 30:[91, 75, 2, 1], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [2, 1, 16]
Generated Node #2: [2, 1, 16] from Operation: 91-75=16
Current State: 30:[2, 1, 16], Operations: ['91-75=16']
Exploring Operation: 16-1=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 16-1=15
Current State: 30:[2, 15], Operations: ['91-75=16', '16-1=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
67,
98,
55
] | 88 | [
"67-2=65",
"98+55=153",
"153-65=88"
] | Current State: 88:[2, 67, 98, 55], Operations: []
Exploring Operation: 67-2=65, Resulting Numbers: [98, 55, 65]
Generated Node #2: [98, 55, 65] from Operation: 67-2=65
Current State: 88:[98, 55, 65], Operations: ['67-2=65']
Exploring Operation: 98+55=153, Resulting Numbers: [65, 153]
Generated Node #3: [65, 153] from Operation: 98+55=153
Current State: 88:[65, 153], Operations: ['67-2=65', '98+55=153']
Exploring Operation: 153-65=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
85,
55,
11,
72
] | 89 | [
"85*11=935",
"935/55=17",
"72+17=89"
] | Current State: 89:[85, 55, 11, 72], Operations: []
Exploring Operation: 85*11=935, Resulting Numbers: [55, 72, 935]
Generated Node #2: [55, 72, 935] from Operation: 85*11=935
Current State: 89:[55, 72, 935], Operations: ['85*11=935']
Exploring Operation: 935/55=17, Resulting Numbers: [72, 17]
Generated Node #3: [72, 17] from Operation: 935/55=17
Current State: 89:[72, 17], Operations: ['85*11=935', '935/55=17']
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
57,
59,
10,
79
] | 55 | [
"79-59=20",
"20/10=2",
"57-2=55"
] | Current State: 55:[57, 59, 10, 79], Operations: []
Exploring Operation: 79-59=20, Resulting Numbers: [57, 10, 20]
Generated Node #2: [57, 10, 20] from Operation: 79-59=20
Current State: 55:[57, 10, 20], Operations: ['79-59=20']
Exploring Operation: 20/10=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 20/10=2
Current State: 55:[57, 2], Operations: ['79-59=20', '20/10=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
24,
28,
1,
4
] | 84 | [
"28-1=27",
"4*27=108",
"108-24=84"
] | Current State: 84:[24, 28, 1, 4], Operations: []
Exploring Operation: 28-1=27, Resulting Numbers: [24, 4, 27]
Generated Node #2: [24, 4, 27] from Operation: 28-1=27
Current State: 84:[24, 4, 27], Operations: ['28-1=27']
Exploring Operation: 4*27=108, Resulting Numbers: [24, 108]
Generated Node #3: [24, 108] from Operation: 4*27=108
Current State: 84:[24, 108], Operations: ['28-1=27', '4*27=108']
Exploring Operation: 108-24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
26,
76,
28,
45
] | 32 | [
"45-26=19",
"76/19=4",
"28+4=32"
] | Current State: 32:[26, 76, 28, 45], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [76, 28, 19]
Generated Node #2: [76, 28, 19] from Operation: 45-26=19
Current State: 32:[76, 28, 19], Operations: ['45-26=19']
Exploring Operation: 76/19=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 76/19=4
Current State: 32:[28, 4], Operations: ['45-26=19', '76/19=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
78,
41,
25,
41
] | 29 | [
"78-41=37",
"25+41=66",
"66-37=29"
] | Current State: 29:[78, 41, 25, 41], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [25, 37]
Generated Node #2: [25, 37] from Operation: 78-41=37
Current State: 29:[25, 37], Operations: ['78-41=37']
Exploring Operation: 25+41=66, Resulting Numbers: [37, 66]
Generated Node #3: [37, 66] from Operation: 25+41=66
Current State: 29:[37, 66], Operations: ['78-41=37', '25+41=66']
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
88,
8,
24,
9
] | 94 | [
"88+9=97",
"24/8=3",
"97-3=94"
] | Current State: 94:[88, 8, 24, 9], Operations: []
Exploring Operation: 88+9=97, Resulting Numbers: [8, 24, 97]
Generated Node #2: [8, 24, 97] from Operation: 88+9=97
Current State: 94:[8, 24, 97], Operations: ['88+9=97']
Exploring Operation: 24/8=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 24/8=3
Current State: 94:[97, 3], Operations: ['88+9=97', '24/8=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
57,
19,
79,
99
] | 18 | [
"57-19=38",
"99-79=20",
"38-20=18"
] | Current State: 18:[57, 19, 79, 99], Operations: []
Exploring Operation: 57-19=38, Resulting Numbers: [79, 99, 38]
Generated Node #2: [79, 99, 38] from Operation: 57-19=38
Current State: 18:[79, 99, 38], Operations: ['57-19=38']
Exploring Operation: 99-79=20, Resulting Numbers: [38, 20]
Generated Node #3: [38, 20] from Operation: 99-79=20
Current State: 18:[38, 20], Operations: ['57-19=38', '99-79=20']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
65,
58,
26,
92
] | 90 | [
"65-58=7",
"26*7=182",
"182-92=90"
] | Current State: 90:[65, 58, 26, 92], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [26, 92, 7]
Generated Node #2: [26, 92, 7] from Operation: 65-58=7
Current State: 90:[26, 92, 7], Operations: ['65-58=7']
Exploring Operation: 26*7=182, Resulting Numbers: [92, 182]
Generated Node #3: [92, 182] from Operation: 26*7=182
Current State: 90:[92, 182], Operations: ['65-58=7', '26*7=182']
Exploring Operation: 182-92=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
12,
41,
88,
77
] | 18 | [
"41-12=29",
"88-77=11",
"29-11=18"
] | Current State: 18:[12, 41, 88, 77], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [88, 77, 29]
Generated Node #2: [88, 77, 29] from Operation: 41-12=29
Current State: 18:[88, 77, 29], Operations: ['41-12=29']
Exploring Operation: 88-77=11, Resulting Numbers: [29, 11]
Generated Node #3: [29, 11] from Operation: 88-77=11
Current State: 18:[29, 11], Operations: ['41-12=29', '88-77=11']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
80,
70,
56,
56
] | 30 | [
"80-56=24",
"70*24=1680",
"1680/56=30"
] | Current State: 30:[80, 70, 56, 56], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [70, 24]
Generated Node #2: [70, 24] from Operation: 80-56=24
Current State: 30:[70, 24], Operations: ['80-56=24']
Exploring Operation: 70*24=1680, Resulting Numbers: [1680]
1680,30 equal: Goal Reached
Exploring Operation: 1680/56=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
41,
13,
11,
96
] | 92 | [
"41+11=52",
"52/13=4",
"96-4=92"
] | Current State: 92:[41, 13, 11, 96], Operations: []
Exploring Operation: 41+11=52, Resulting Numbers: [13, 96, 52]
Generated Node #2: [13, 96, 52] from Operation: 41+11=52
Current State: 92:[13, 96, 52], Operations: ['41+11=52']
Exploring Operation: 52/13=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 52/13=4
Current State: 92:[96, 4], Operations: ['41+11=52', '52/13=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
59,
98,
34,
69
] | 74 | [
"98-59=39",
"69-34=35",
"39+35=74"
] | Current State: 74:[59, 98, 34, 69], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [34, 69, 39]
Generated Node #2: [34, 69, 39] from Operation: 98-59=39
Current State: 74:[34, 69, 39], Operations: ['98-59=39']
Exploring Operation: 69-34=35, Resulting Numbers: [39, 35]
Generated Node #3: [39, 35] from Operation: 69-34=35
Current State: 74:[39, 35], Operations: ['98-59=39', '69-34=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
22,
77,
71,
15
] | 43 | [
"22+77=99",
"71-15=56",
"99-56=43"
] | Current State: 43:[22, 77, 71, 15], Operations: []
Exploring Operation: 22+77=99, Resulting Numbers: [71, 15, 99]
Generated Node #2: [71, 15, 99] from Operation: 22+77=99
Current State: 43:[71, 15, 99], Operations: ['22+77=99']
Exploring Operation: 71-15=56, Resulting Numbers: [99, 56]
Generated Node #3: [99, 56] from Operation: 71-15=56
Current State: 43:[99, 56], Operations: ['22+77=99', '71-15=56']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
64,
10,
23,
45
] | 14 | [
"64-10=54",
"23+45=68",
"68-54=14"
] | Current State: 14:[64, 10, 23, 45], Operations: []
Exploring Operation: 64-10=54, Resulting Numbers: [23, 45, 54]
Generated Node #2: [23, 45, 54] from Operation: 64-10=54
Current State: 14:[23, 45, 54], Operations: ['64-10=54']
Exploring Operation: 23+45=68, Resulting Numbers: [54, 68]
Generated Node #3: [54, 68] from Operation: 23+45=68
Current State: 14:[54, 68], Operations: ['64-10=54', '23+45=68']
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
78,
97,
35,
48
] | 92 | [
"78+97=175",
"35+48=83",
"175-83=92"
] | Current State: 92:[78, 97, 35, 48], Operations: []
Exploring Operation: 78+97=175, Resulting Numbers: [35, 48, 175]
Generated Node #2: [35, 48, 175] from Operation: 78+97=175
Current State: 92:[35, 48, 175], Operations: ['78+97=175']
Exploring Operation: 35+48=83, Resulting Numbers: [175, 83]
Generated Node #3: [175, 83] from Operation: 35+48=83
Current State: 92:[175, 83], Operations: ['78+97=175', '35+48=83']
Exploring Operation: 175-83=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
47,
66,
74,
44
] | 83 | [
"47+66=113",
"74-44=30",
"113-30=83"
] | Current State: 83:[47, 66, 74, 44], Operations: []
Exploring Operation: 47+66=113, Resulting Numbers: [74, 44, 113]
Generated Node #2: [74, 44, 113] from Operation: 47+66=113
Current State: 83:[74, 44, 113], Operations: ['47+66=113']
Exploring Operation: 74-44=30, Resulting Numbers: [113, 30]
Generated Node #3: [113, 30] from Operation: 74-44=30
Current State: 83:[113, 30], Operations: ['47+66=113', '74-44=30']
Exploring Operation: 113-30=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
39,
36,
66,
60
] | 51 | [
"39+36=75",
"66+60=126",
"126-75=51"
] | Current State: 51:[39, 36, 66, 60], Operations: []
Exploring Operation: 39+36=75, Resulting Numbers: [66, 60, 75]
Generated Node #2: [66, 60, 75] from Operation: 39+36=75
Current State: 51:[66, 60, 75], Operations: ['39+36=75']
Exploring Operation: 66+60=126, Resulting Numbers: [75, 126]
Generated Node #3: [75, 126] from Operation: 66+60=126
Current State: 51:[75, 126], Operations: ['39+36=75', '66+60=126']
Exploring Operation: 126-75=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
98,
5,
50
] | 11 | [
"98-50=48",
"48/8=6",
"5+6=11"
] | Current State: 11:[8, 98, 5, 50], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [8, 5, 48]
Generated Node #2: [8, 5, 48] from Operation: 98-50=48
Current State: 11:[8, 5, 48], Operations: ['98-50=48']
Exploring Operation: 48/8=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 48/8=6
Current State: 11:[5, 6], Operations: ['98-50=48', '48/8=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
36,
48,
83,
20
] | 12 | [
"48*20=960",
"36+960=996",
"996/83=12"
] | Current State: 12:[36, 48, 83, 20], Operations: []
Exploring Operation: 48*20=960, Resulting Numbers: [36, 83, 960]
Generated Node #2: [36, 83, 960] from Operation: 48*20=960
Current State: 12:[36, 83, 960], Operations: ['48*20=960']
Exploring Operation: 36+960=996, Resulting Numbers: [83, 996]
Generated Node #3: [83, 996] from Operation: 36+960=996
Current State: 12:[83, 996], Operations: ['48*20=960', '36+960=996']
Exploring Operation: 996/83=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
19,
48,
43,
18
] | 77 | [
"48-43=5",
"19*5=95",
"95-18=77"
] | Current State: 77:[19, 48, 43, 18], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [19, 18, 5]
Generated Node #2: [19, 18, 5] from Operation: 48-43=5
Current State: 77:[19, 18, 5], Operations: ['48-43=5']
Exploring Operation: 19*5=95, Resulting Numbers: [18, 95]
Generated Node #3: [18, 95] from Operation: 19*5=95
Current State: 77:[18, 95], Operations: ['48-43=5', '19*5=95']
Exploring Operation: 95-18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
93,
76,
6,
28
] | 39 | [
"93-76=17",
"28-6=22",
"17+22=39"
] | Current State: 39:[93, 76, 6, 28], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [6, 28, 17]
Generated Node #2: [6, 28, 17] from Operation: 93-76=17
Current State: 39:[6, 28, 17], Operations: ['93-76=17']
Exploring Operation: 28-6=22, Resulting Numbers: [17, 22]
Generated Node #3: [17, 22] from Operation: 28-6=22
Current State: 39:[17, 22], Operations: ['93-76=17', '28-6=22']
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
36,
84,
34,
2
] | 21 | [
"36-34=2",
"84/2=42",
"42/2=21"
] | Current State: 21:[36, 84, 34, 2], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [84, 2, 2]
Generated Node #2: [84, 2, 2] from Operation: 36-34=2
Current State: 21:[84, 2, 2], Operations: ['36-34=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,21 equal: Goal Reached
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
79,
8,
15,
46
] | 26 | [
"79+8=87",
"15+46=61",
"87-61=26"
] | Current State: 26:[79, 8, 15, 46], Operations: []
Exploring Operation: 79+8=87, Resulting Numbers: [15, 46, 87]
Generated Node #2: [15, 46, 87] from Operation: 79+8=87
Current State: 26:[15, 46, 87], Operations: ['79+8=87']
Exploring Operation: 15+46=61, Resulting Numbers: [87, 61]
Generated Node #3: [87, 61] from Operation: 15+46=61
Current State: 26:[87, 61], Operations: ['79+8=87', '15+46=61']
Exploring Operation: 87-61=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
54,
73,
82,
87
] | 14 | [
"73-54=19",
"87-82=5",
"19-5=14"
] | Current State: 14:[54, 73, 82, 87], Operations: []
Exploring Operation: 73-54=19, Resulting Numbers: [82, 87, 19]
Generated Node #2: [82, 87, 19] from Operation: 73-54=19
Current State: 14:[82, 87, 19], Operations: ['73-54=19']
Exploring Operation: 87-82=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 87-82=5
Current State: 14:[19, 5], Operations: ['73-54=19', '87-82=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
60,
98,
68,
20
] | 86 | [
"98-60=38",
"68-20=48",
"38+48=86"
] | Current State: 86:[60, 98, 68, 20], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [68, 20, 38]
Generated Node #2: [68, 20, 38] from Operation: 98-60=38
Current State: 86:[68, 20, 38], Operations: ['98-60=38']
Exploring Operation: 68-20=48, Resulting Numbers: [38, 48]
Generated Node #3: [38, 48] from Operation: 68-20=48
Current State: 86:[38, 48], Operations: ['98-60=38', '68-20=48']
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
86,
68,
13,
60
] | 34 | [
"86-60=26",
"68*13=884",
"884/26=34"
] | Current State: 34:[86, 68, 13, 60], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [68, 13, 26]
Generated Node #2: [68, 13, 26] from Operation: 86-60=26
Current State: 34:[68, 13, 26], Operations: ['86-60=26']
Exploring Operation: 68*13=884, Resulting Numbers: [26, 884]
Generated Node #3: [26, 884] from Operation: 68*13=884
Current State: 34:[26, 884], Operations: ['86-60=26', '68*13=884']
Exploring Operation: 884/26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
6,
13,
60,
99
] | 39 | [
"6*13=78",
"99-60=39",
"78-39=39"
] | Current State: 39:[6, 13, 60, 99], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [60, 99, 78]
Generated Node #2: [60, 99, 78] from Operation: 6*13=78
Current State: 39:[60, 99, 78], Operations: ['6*13=78']
Exploring Operation: 99-60=39, Resulting Numbers: [78, 39]
Generated Node #3: [78, 39] from Operation: 99-60=39
Current State: 39:[78, 39], Operations: ['6*13=78', '99-60=39']
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
51,
50,
40,
89
] | 50 | [
"51-50=1",
"89-40=49",
"1+49=50"
] | Current State: 50:[51, 50, 40, 89], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [40, 89, 1]
Generated Node #2: [40, 89, 1] from Operation: 51-50=1
Current State: 50:[40, 89, 1], Operations: ['51-50=1']
Exploring Operation: 89-40=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 89-40=49
Current State: 50:[1, 49], Operations: ['51-50=1', '89-40=49']
Exploring Operation: 1+49=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
40,
63,
99,
48
] | 74 | [
"63-40=23",
"99-48=51",
"23+51=74"
] | Current State: 74:[40, 63, 99, 48], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [99, 48, 23]
Generated Node #2: [99, 48, 23] from Operation: 63-40=23
Current State: 74:[99, 48, 23], Operations: ['63-40=23']
Exploring Operation: 99-48=51, Resulting Numbers: [23, 51]
Generated Node #3: [23, 51] from Operation: 99-48=51
Current State: 74:[23, 51], Operations: ['63-40=23', '99-48=51']
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
28,
14,
6,
7
] | 77 | [
"28-14=14",
"6*14=84",
"84-7=77"
] | Current State: 77:[28, 14, 6, 7], Operations: []
Exploring Operation: 28-14=14, Resulting Numbers: [6, 7, 14]
Generated Node #2: [6, 7, 14] from Operation: 28-14=14
Current State: 77:[6, 7, 14], Operations: ['28-14=14']
Exploring Operation: 6*14=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 6*14=84
Current State: 77:[7, 84], Operations: ['28-14=14', '6*14=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
89,
26,
45,
76
] | 32 | [
"89-26=63",
"76-45=31",
"63-31=32"
] | Current State: 32:[89, 26, 45, 76], Operations: []
Exploring Operation: 89-26=63, Resulting Numbers: [45, 76, 63]
Generated Node #2: [45, 76, 63] from Operation: 89-26=63
Current State: 32:[45, 76, 63], Operations: ['89-26=63']
Exploring Operation: 76-45=31, Resulting Numbers: [63, 31]
Generated Node #3: [63, 31] from Operation: 76-45=31
Current State: 32:[63, 31], Operations: ['89-26=63', '76-45=31']
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
73,
88,
6,
13
] | 78 | [
"73-13=60",
"60/6=10",
"88-10=78"
] | Current State: 78:[73, 88, 6, 13], Operations: []
Exploring Operation: 73-13=60, Resulting Numbers: [88, 6, 60]
Generated Node #2: [88, 6, 60] from Operation: 73-13=60
Current State: 78:[88, 6, 60], Operations: ['73-13=60']
Exploring Operation: 60/6=10, Resulting Numbers: [88, 10]
Generated Node #3: [88, 10] from Operation: 60/6=10
Current State: 78:[88, 10], Operations: ['73-13=60', '60/6=10']
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
34,
46,
96,
32
] | 76 | [
"46-34=12",
"96-32=64",
"12+64=76"
] | Current State: 76:[34, 46, 96, 32], Operations: []
Exploring Operation: 46-34=12, Resulting Numbers: [96, 32, 12]
Generated Node #2: [96, 32, 12] from Operation: 46-34=12
Current State: 76:[96, 32, 12], Operations: ['46-34=12']
Exploring Operation: 96-32=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 96-32=64
Current State: 76:[12, 64], Operations: ['46-34=12', '96-32=64']
Exploring Operation: 12+64=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
76,
4,
64,
29
] | 21 | [
"76-4=72",
"64+29=93",
"93-72=21"
] | Current State: 21:[76, 4, 64, 29], Operations: []
Exploring Operation: 76-4=72, Resulting Numbers: [64, 29, 72]
Generated Node #2: [64, 29, 72] from Operation: 76-4=72
Current State: 21:[64, 29, 72], Operations: ['76-4=72']
Exploring Operation: 64+29=93, Resulting Numbers: [72, 93]
Generated Node #3: [72, 93] from Operation: 64+29=93
Current State: 21:[72, 93], Operations: ['76-4=72', '64+29=93']
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
15,
28,
10,
39
] | 83 | [
"15*10=150",
"28+39=67",
"150-67=83"
] | Current State: 83:[15, 28, 10, 39], Operations: []
Exploring Operation: 15*10=150, Resulting Numbers: [28, 39, 150]
Generated Node #2: [28, 39, 150] from Operation: 15*10=150
Current State: 83:[28, 39, 150], Operations: ['15*10=150']
Exploring Operation: 28+39=67, Resulting Numbers: [150, 67]
Generated Node #3: [150, 67] from Operation: 28+39=67
Current State: 83:[150, 67], Operations: ['15*10=150', '28+39=67']
Exploring Operation: 150-67=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
17,
30,
72,
43
] | 68 | [
"17+30=47",
"72+43=115",
"115-47=68"
] | Current State: 68:[17, 30, 72, 43], Operations: []
Exploring Operation: 17+30=47, Resulting Numbers: [72, 43, 47]
Generated Node #2: [72, 43, 47] from Operation: 17+30=47
Current State: 68:[72, 43, 47], Operations: ['17+30=47']
Exploring Operation: 72+43=115, Resulting Numbers: [47, 115]
Generated Node #3: [47, 115] from Operation: 72+43=115
Current State: 68:[47, 115], Operations: ['17+30=47', '72+43=115']
Exploring Operation: 115-47=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
26,
99,
70,
42
] | 39 | [
"99-26=73",
"70+42=112",
"112-73=39"
] | Current State: 39:[26, 99, 70, 42], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [70, 42, 73]
Generated Node #2: [70, 42, 73] from Operation: 99-26=73
Current State: 39:[70, 42, 73], Operations: ['99-26=73']
Exploring Operation: 70+42=112, Resulting Numbers: [73, 112]
Generated Node #3: [73, 112] from Operation: 70+42=112
Current State: 39:[73, 112], Operations: ['99-26=73', '70+42=112']
Exploring Operation: 112-73=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
96,
1,
24,
30
] | 41 | [
"96-1=95",
"24+30=54",
"95-54=41"
] | Current State: 41:[96, 1, 24, 30], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [24, 30, 95]
Generated Node #2: [24, 30, 95] from Operation: 96-1=95
Current State: 41:[24, 30, 95], Operations: ['96-1=95']
Exploring Operation: 24+30=54, Resulting Numbers: [95, 54]
Generated Node #3: [95, 54] from Operation: 24+30=54
Current State: 41:[95, 54], Operations: ['96-1=95', '24+30=54']
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
90,
20,
1,
17
] | 29 | [
"20-17=3",
"90/3=30",
"30-1=29"
] | Current State: 29:[90, 20, 1, 17], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [90, 1, 3]
Generated Node #2: [90, 1, 3] from Operation: 20-17=3
Current State: 29:[90, 1, 3], Operations: ['20-17=3']
Exploring Operation: 90/3=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 90/3=30
Current State: 29:[1, 30], Operations: ['20-17=3', '90/3=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
4,
19,
12,
39
] | 85 | [
"19+12=31",
"4*31=124",
"124-39=85"
] | Current State: 85:[4, 19, 12, 39], Operations: []
Exploring Operation: 19+12=31, Resulting Numbers: [4, 39, 31]
Generated Node #2: [4, 39, 31] from Operation: 19+12=31
Current State: 85:[4, 39, 31], Operations: ['19+12=31']
Exploring Operation: 4*31=124, Resulting Numbers: [39, 124]
Generated Node #3: [39, 124] from Operation: 4*31=124
Current State: 85:[39, 124], Operations: ['19+12=31', '4*31=124']
Exploring Operation: 124-39=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
42,
69,
72,
68
] | 58 | [
"72-69=3",
"42*3=126",
"126-68=58"
] | Current State: 58:[42, 69, 72, 68], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [42, 68, 3]
Generated Node #2: [42, 68, 3] from Operation: 72-69=3
Current State: 58:[42, 68, 3], Operations: ['72-69=3']
Exploring Operation: 42*3=126, Resulting Numbers: [68, 126]
Generated Node #3: [68, 126] from Operation: 42*3=126
Current State: 58:[68, 126], Operations: ['72-69=3', '42*3=126']
Exploring Operation: 126-68=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
42,
63,
97,
93
] | 17 | [
"63-42=21",
"97-93=4",
"21-4=17"
] | Current State: 17:[42, 63, 97, 93], Operations: []
Exploring Operation: 63-42=21, Resulting Numbers: [97, 93, 21]
Generated Node #2: [97, 93, 21] from Operation: 63-42=21
Current State: 17:[97, 93, 21], Operations: ['63-42=21']
Exploring Operation: 97-93=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 97-93=4
Current State: 17:[21, 4], Operations: ['63-42=21', '97-93=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
43,
78,
52,
32
] | 37 | [
"43+78=121",
"52+32=84",
"121-84=37"
] | Current State: 37:[43, 78, 52, 32], Operations: []
Exploring Operation: 43+78=121, Resulting Numbers: [52, 32, 121]
Generated Node #2: [52, 32, 121] from Operation: 43+78=121
Current State: 37:[52, 32, 121], Operations: ['43+78=121']
Exploring Operation: 52+32=84, Resulting Numbers: [121, 84]
Generated Node #3: [121, 84] from Operation: 52+32=84
Current State: 37:[121, 84], Operations: ['43+78=121', '52+32=84']
Exploring Operation: 121-84=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
45,
10,
30,
54
] | 99 | [
"45+10=55",
"54*55=2970",
"2970/30=99"
] | Current State: 99:[45, 10, 30, 54], Operations: []
Exploring Operation: 45+10=55, Resulting Numbers: [30, 54, 55]
Generated Node #2: [30, 54, 55] from Operation: 45+10=55
Current State: 99:[30, 54, 55], Operations: ['45+10=55']
Exploring Operation: 54*55=2970, Resulting Numbers: [30, 2970]
Generated Node #3: [30, 2970] from Operation: 54*55=2970
Current State: 99:[30, 2970], Operations: ['45+10=55', '54*55=2970']
Exploring Operation: 2970/30=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
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