nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
21,
50,
42,
19
] | 68 | [
"21*42=882",
"50*19=950",
"950-882=68"
] | Current State: 68:[21, 50, 42, 19], Operations: []
Exploring Operation: 21*42=882, Resulting Numbers: [50, 19, 882]
Generated Node #2: [50, 19, 882] from Operation: 21*42=882
Current State: 68:[50, 19, 882], Operations: ['21*42=882']
Exploring Operation: 50*19=950, Resulting Numbers: [882, 950]
Generated Node #3: [882, 950] from Operation: 50*19=950
Current State: 68:[882, 950], Operations: ['21*42=882', '50*19=950']
Exploring Operation: 950-882=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
13,
97,
21,
76
] | 19 | [
"97-13=84",
"21*76=1596",
"1596/84=19"
] | Current State: 19:[13, 97, 21, 76], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [21, 76, 84]
Generated Node #2: [21, 76, 84] from Operation: 97-13=84
Current State: 19:[21, 76, 84], Operations: ['97-13=84']
Exploring Operation: 21*76=1596, Resulting Numbers: [84, 1596]
Generated Node #3: [84, 1596] from Operation: 21*76=1596
Current State: 19:[84, 1596], Operations: ['97-13=84', '21*76=1596']
Exploring Operation: 1596/84=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
20,
93,
28,
36
] | 67 | [
"36-28=8",
"20*8=160",
"160-93=67"
] | Current State: 67:[20, 93, 28, 36], Operations: []
Exploring Operation: 36-28=8, Resulting Numbers: [20, 93, 8]
Generated Node #2: [20, 93, 8] from Operation: 36-28=8
Current State: 67:[20, 93, 8], Operations: ['36-28=8']
Exploring Operation: 20*8=160, Resulting Numbers: [93, 160]
Generated Node #3: [93, 160] from Operation: 20*8=160
Current State: 67:[93, 160], Operations: ['36-28=8', '20*8=160']
Exploring Operation: 160-93=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
18,
12,
14,
78
] | 72 | [
"18+78=96",
"12*14=168",
"168-96=72"
] | Current State: 72:[18, 12, 14, 78], Operations: []
Exploring Operation: 18+78=96, Resulting Numbers: [12, 14, 96]
Generated Node #2: [12, 14, 96] from Operation: 18+78=96
Current State: 72:[12, 14, 96], Operations: ['18+78=96']
Exploring Operation: 12*14=168, Resulting Numbers: [96, 168]
Generated Node #3: [96, 168] from Operation: 12*14=168
Current State: 72:[96, 168], Operations: ['18+78=96', '12*14=168']
Exploring Operation: 168-96=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
21,
38,
6,
47
] | 36 | [
"38-21=17",
"6+47=53",
"53-17=36"
] | Current State: 36:[21, 38, 6, 47], Operations: []
Exploring Operation: 38-21=17, Resulting Numbers: [6, 47, 17]
Generated Node #2: [6, 47, 17] from Operation: 38-21=17
Current State: 36:[6, 47, 17], Operations: ['38-21=17']
Exploring Operation: 6+47=53, Resulting Numbers: [17, 53]
Generated Node #3: [17, 53] from Operation: 6+47=53
Current State: 36:[17, 53], Operations: ['38-21=17', '6+47=53']
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
33,
60,
90,
66
] | 60 | [
"33*60=1980",
"1980/66=30",
"90-30=60"
] | Current State: 60:[33, 60, 90, 66], Operations: []
Exploring Operation: 33*60=1980, Resulting Numbers: [90, 66, 1980]
Generated Node #2: [90, 66, 1980] from Operation: 33*60=1980
Current State: 60:[90, 66, 1980], Operations: ['33*60=1980']
Exploring Operation: 1980/66=30, Resulting Numbers: [90, 30]
Generated Node #3: [90, 30] from Operation: 1980/66=30
Current State: 60:[90, 30], Operations: ['33*60=1980', '1980/66=30']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
32,
80,
5,
21
] | 32 | [
"80-32=48",
"21-5=16",
"48-16=32"
] | Current State: 32:[32, 80, 5, 21], Operations: []
Exploring Operation: 80-32=48, Resulting Numbers: [5, 21, 48]
Generated Node #2: [5, 21, 48] from Operation: 80-32=48
Current State: 32:[5, 21, 48], Operations: ['80-32=48']
Exploring Operation: 21-5=16, Resulting Numbers: [48, 16]
Generated Node #3: [48, 16] from Operation: 21-5=16
Current State: 32:[48, 16], Operations: ['80-32=48', '21-5=16']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
82,
10,
3,
76
] | 63 | [
"82-76=6",
"10*6=60",
"3+60=63"
] | Current State: 63:[82, 10, 3, 76], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [10, 3, 6]
Generated Node #2: [10, 3, 6] from Operation: 82-76=6
Current State: 63:[10, 3, 6], Operations: ['82-76=6']
Exploring Operation: 10*6=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 10*6=60
Current State: 63:[3, 60], Operations: ['82-76=6', '10*6=60']
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
72,
9,
24,
69
] | 67 | [
"69-24=45",
"45/9=5",
"72-5=67"
] | Current State: 67:[72, 9, 24, 69], Operations: []
Exploring Operation: 69-24=45, Resulting Numbers: [72, 9, 45]
Generated Node #2: [72, 9, 45] from Operation: 69-24=45
Current State: 67:[72, 9, 45], Operations: ['69-24=45']
Exploring Operation: 45/9=5, Resulting Numbers: [72, 5]
Generated Node #3: [72, 5] from Operation: 45/9=5
Current State: 67:[72, 5], Operations: ['69-24=45', '45/9=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
45,
32,
37,
52
] | 28 | [
"45-32=13",
"52-37=15",
"13+15=28"
] | Current State: 28:[45, 32, 37, 52], Operations: []
Exploring Operation: 45-32=13, Resulting Numbers: [37, 52, 13]
Generated Node #2: [37, 52, 13] from Operation: 45-32=13
Current State: 28:[37, 52, 13], Operations: ['45-32=13']
Exploring Operation: 52-37=15, Resulting Numbers: [13, 15]
Generated Node #3: [13, 15] from Operation: 52-37=15
Current State: 28:[13, 15], Operations: ['45-32=13', '52-37=15']
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
56,
6,
63,
22
] | 22 | [
"56+6=62",
"63-62=1",
"22*1=22"
] | Current State: 22:[56, 6, 63, 22], Operations: []
Exploring Operation: 56+6=62, Resulting Numbers: [63, 22, 62]
Generated Node #2: [63, 22, 62] from Operation: 56+6=62
Current State: 22:[63, 22, 62], Operations: ['56+6=62']
Exploring Operation: 63-62=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 63-62=1
Current State: 22:[22, 1], Operations: ['56+6=62', '63-62=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
37,
56,
21,
37
] | 35 | [
"37+56=93",
"21+37=58",
"93-58=35"
] | Current State: 35:[37, 56, 21, 37], Operations: []
Exploring Operation: 37+56=93, Resulting Numbers: [21, 93]
Generated Node #2: [21, 93] from Operation: 37+56=93
Current State: 35:[21, 93], Operations: ['37+56=93']
Exploring Operation: 21+37=58, Resulting Numbers: [93, 58]
Generated Node #3: [93, 58] from Operation: 21+37=58
Current State: 35:[93, 58], Operations: ['37+56=93', '21+37=58']
Exploring Operation: 93-58=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
49,
69,
60,
93
] | 96 | [
"69-49=20",
"60/20=3",
"93+3=96"
] | Current State: 96:[49, 69, 60, 93], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [60, 93, 20]
Generated Node #2: [60, 93, 20] from Operation: 69-49=20
Current State: 96:[60, 93, 20], Operations: ['69-49=20']
Exploring Operation: 60/20=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 60/20=3
Current State: 96:[93, 3], Operations: ['69-49=20', '60/20=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
5,
64,
83,
78
] | 74 | [
"5+64=69",
"83-78=5",
"69+5=74"
] | Current State: 74:[5, 64, 83, 78], Operations: []
Exploring Operation: 5+64=69, Resulting Numbers: [83, 78, 69]
Generated Node #2: [83, 78, 69] from Operation: 5+64=69
Current State: 74:[83, 78, 69], Operations: ['5+64=69']
Exploring Operation: 83-78=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 83-78=5
Current State: 74:[69, 5], Operations: ['5+64=69', '83-78=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
41,
93,
32,
20
] | 64 | [
"93-41=52",
"32-20=12",
"52+12=64"
] | Current State: 64:[41, 93, 32, 20], Operations: []
Exploring Operation: 93-41=52, Resulting Numbers: [32, 20, 52]
Generated Node #2: [32, 20, 52] from Operation: 93-41=52
Current State: 64:[32, 20, 52], Operations: ['93-41=52']
Exploring Operation: 32-20=12, Resulting Numbers: [52, 12]
Generated Node #3: [52, 12] from Operation: 32-20=12
Current State: 64:[52, 12], Operations: ['93-41=52', '32-20=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
66,
26,
40,
72
] | 11 | [
"72-66=6",
"26+40=66",
"66/6=11"
] | Current State: 11:[66, 26, 40, 72], Operations: []
Exploring Operation: 72-66=6, Resulting Numbers: [26, 40, 6]
Generated Node #2: [26, 40, 6] from Operation: 72-66=6
Current State: 11:[26, 40, 6], Operations: ['72-66=6']
Exploring Operation: 26+40=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 26+40=66
Current State: 11:[6, 66], Operations: ['72-66=6', '26+40=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
45,
5,
89,
15
] | 59 | [
"45+89=134",
"5*15=75",
"134-75=59"
] | Current State: 59:[45, 5, 89, 15], Operations: []
Exploring Operation: 45+89=134, Resulting Numbers: [5, 15, 134]
Generated Node #2: [5, 15, 134] from Operation: 45+89=134
Current State: 59:[5, 15, 134], Operations: ['45+89=134']
Exploring Operation: 5*15=75, Resulting Numbers: [134, 75]
Generated Node #3: [134, 75] from Operation: 5*15=75
Current State: 59:[134, 75], Operations: ['45+89=134', '5*15=75']
Exploring Operation: 134-75=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
2,
35,
5,
85
] | 36 | [
"85/5=17",
"35-17=18",
"2*18=36"
] | Current State: 36:[2, 35, 5, 85], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [2, 35, 17]
Generated Node #2: [2, 35, 17] from Operation: 85/5=17
Current State: 36:[2, 35, 17], Operations: ['85/5=17']
Exploring Operation: 35-17=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 35-17=18
Current State: 36:[2, 18], Operations: ['85/5=17', '35-17=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
14,
28,
30,
63
] | 68 | [
"30*63=1890",
"14+1890=1904",
"1904/28=68"
] | Current State: 68:[14, 28, 30, 63], Operations: []
Exploring Operation: 30*63=1890, Resulting Numbers: [14, 28, 1890]
Generated Node #2: [14, 28, 1890] from Operation: 30*63=1890
Current State: 68:[14, 28, 1890], Operations: ['30*63=1890']
Exploring Operation: 14+1890=1904, Resulting Numbers: [28, 1904]
Generated Node #3: [28, 1904] from Operation: 14+1890=1904
Current State: 68:[28, 1904], Operations: ['30*63=1890', '14+1890=1904']
Exploring Operation: 1904/28=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
10,
19,
50,
89
] | 57 | [
"89-19=70",
"70/10=7",
"50+7=57"
] | Current State: 57:[10, 19, 50, 89], Operations: []
Exploring Operation: 89-19=70, Resulting Numbers: [10, 50, 70]
Generated Node #2: [10, 50, 70] from Operation: 89-19=70
Current State: 57:[10, 50, 70], Operations: ['89-19=70']
Exploring Operation: 70/10=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 70/10=7
Current State: 57:[50, 7], Operations: ['89-19=70', '70/10=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
24,
80,
34,
26
] | 32 | [
"24*80=1920",
"34+26=60",
"1920/60=32"
] | Current State: 32:[24, 80, 34, 26], Operations: []
Exploring Operation: 24*80=1920, Resulting Numbers: [34, 26, 1920]
Generated Node #2: [34, 26, 1920] from Operation: 24*80=1920
Current State: 32:[34, 26, 1920], Operations: ['24*80=1920']
Exploring Operation: 34+26=60, Resulting Numbers: [1920, 60]
Generated Node #3: [1920, 60] from Operation: 34+26=60
Current State: 32:[1920, 60], Operations: ['24*80=1920', '34+26=60']
Exploring Operation: 1920/60=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
48,
47,
2
] | 62 | [
"30+48=78",
"78-47=31",
"2*31=62"
] | Current State: 62:[30, 48, 47, 2], Operations: []
Exploring Operation: 30+48=78, Resulting Numbers: [47, 2, 78]
Generated Node #2: [47, 2, 78] from Operation: 30+48=78
Current State: 62:[47, 2, 78], Operations: ['30+48=78']
Exploring Operation: 78-47=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 78-47=31
Current State: 62:[2, 31], Operations: ['30+48=78', '78-47=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
74,
25,
64,
4
] | 19 | [
"74-25=49",
"64+4=68",
"68-49=19"
] | Current State: 19:[74, 25, 64, 4], Operations: []
Exploring Operation: 74-25=49, Resulting Numbers: [64, 4, 49]
Generated Node #2: [64, 4, 49] from Operation: 74-25=49
Current State: 19:[64, 4, 49], Operations: ['74-25=49']
Exploring Operation: 64+4=68, Resulting Numbers: [49, 68]
Generated Node #3: [49, 68] from Operation: 64+4=68
Current State: 19:[49, 68], Operations: ['74-25=49', '64+4=68']
Exploring Operation: 68-49=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
29,
38,
27,
66
] | 71 | [
"29-27=2",
"66/2=33",
"38+33=71"
] | Current State: 71:[29, 38, 27, 66], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [38, 66, 2]
Generated Node #2: [38, 66, 2] from Operation: 29-27=2
Current State: 71:[38, 66, 2], Operations: ['29-27=2']
Exploring Operation: 66/2=33, Resulting Numbers: [38, 33]
Generated Node #3: [38, 33] from Operation: 66/2=33
Current State: 71:[38, 33], Operations: ['29-27=2', '66/2=33']
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
39,
95,
2,
60
] | 97 | [
"39+95=134",
"60+134=194",
"194/2=97"
] | Current State: 97:[39, 95, 2, 60], Operations: []
Exploring Operation: 39+95=134, Resulting Numbers: [2, 60, 134]
Generated Node #2: [2, 60, 134] from Operation: 39+95=134
Current State: 97:[2, 60, 134], Operations: ['39+95=134']
Exploring Operation: 60+134=194, Resulting Numbers: [2, 194]
Generated Node #3: [2, 194] from Operation: 60+134=194
Current State: 97:[2, 194], Operations: ['39+95=134', '60+134=194']
Exploring Operation: 194/2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
73,
94,
26,
37
] | 74 | [
"73-26=47",
"94*37=3478",
"3478/47=74"
] | Current State: 74:[73, 94, 26, 37], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [94, 37, 47]
Generated Node #2: [94, 37, 47] from Operation: 73-26=47
Current State: 74:[94, 37, 47], Operations: ['73-26=47']
Exploring Operation: 94*37=3478, Resulting Numbers: [47, 3478]
Generated Node #3: [47, 3478] from Operation: 94*37=3478
Current State: 74:[47, 3478], Operations: ['73-26=47', '94*37=3478']
Exploring Operation: 3478/47=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
19,
85,
4,
68
] | 83 | [
"85-19=66",
"68/4=17",
"66+17=83"
] | Current State: 83:[19, 85, 4, 68], Operations: []
Exploring Operation: 85-19=66, Resulting Numbers: [4, 68, 66]
Generated Node #2: [4, 68, 66] from Operation: 85-19=66
Current State: 83:[4, 68, 66], Operations: ['85-19=66']
Exploring Operation: 68/4=17, Resulting Numbers: [66, 17]
Generated Node #3: [66, 17] from Operation: 68/4=17
Current State: 83:[66, 17], Operations: ['85-19=66', '68/4=17']
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
87,
21,
69,
81
] | 42 | [
"87+21=108",
"69+81=150",
"150-108=42"
] | Current State: 42:[87, 21, 69, 81], Operations: []
Exploring Operation: 87+21=108, Resulting Numbers: [69, 81, 108]
Generated Node #2: [69, 81, 108] from Operation: 87+21=108
Current State: 42:[69, 81, 108], Operations: ['87+21=108']
Exploring Operation: 69+81=150, Resulting Numbers: [108, 150]
Generated Node #3: [108, 150] from Operation: 69+81=150
Current State: 42:[108, 150], Operations: ['87+21=108', '69+81=150']
Exploring Operation: 150-108=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
44,
28,
69
] | 95 | [
"69/3=23",
"44+28=72",
"23+72=95"
] | Current State: 95:[3, 44, 28, 69], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [44, 28, 23]
Generated Node #2: [44, 28, 23] from Operation: 69/3=23
Current State: 95:[44, 28, 23], Operations: ['69/3=23']
Exploring Operation: 44+28=72, Resulting Numbers: [23, 72]
Generated Node #3: [23, 72] from Operation: 44+28=72
Current State: 95:[23, 72], Operations: ['69/3=23', '44+28=72']
Exploring Operation: 23+72=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
18,
70,
52
] | 98 | [
"6+18=24",
"70+52=122",
"122-24=98"
] | Current State: 98:[6, 18, 70, 52], Operations: []
Exploring Operation: 6+18=24, Resulting Numbers: [70, 52, 24]
Generated Node #2: [70, 52, 24] from Operation: 6+18=24
Current State: 98:[70, 52, 24], Operations: ['6+18=24']
Exploring Operation: 70+52=122, Resulting Numbers: [24, 122]
Generated Node #3: [24, 122] from Operation: 70+52=122
Current State: 98:[24, 122], Operations: ['6+18=24', '70+52=122']
Exploring Operation: 122-24=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
4,
29,
77,
42
] | 81 | [
"4*29=116",
"77-42=35",
"116-35=81"
] | Current State: 81:[4, 29, 77, 42], Operations: []
Exploring Operation: 4*29=116, Resulting Numbers: [77, 42, 116]
Generated Node #2: [77, 42, 116] from Operation: 4*29=116
Current State: 81:[77, 42, 116], Operations: ['4*29=116']
Exploring Operation: 77-42=35, Resulting Numbers: [116, 35]
Generated Node #3: [116, 35] from Operation: 77-42=35
Current State: 81:[116, 35], Operations: ['4*29=116', '77-42=35']
Exploring Operation: 116-35=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
26,
15,
77,
7
] | 30 | [
"26+15=41",
"77/7=11",
"41-11=30"
] | Current State: 30:[26, 15, 77, 7], Operations: []
Exploring Operation: 26+15=41, Resulting Numbers: [77, 7, 41]
Generated Node #2: [77, 7, 41] from Operation: 26+15=41
Current State: 30:[77, 7, 41], Operations: ['26+15=41']
Exploring Operation: 77/7=11, Resulting Numbers: [41, 11]
Generated Node #3: [41, 11] from Operation: 77/7=11
Current State: 30:[41, 11], Operations: ['26+15=41', '77/7=11']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
56,
69,
2,
65
] | 48 | [
"69-65=4",
"2*4=8",
"56-8=48"
] | Current State: 48:[56, 69, 2, 65], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [56, 2, 4]
Generated Node #2: [56, 2, 4] from Operation: 69-65=4
Current State: 48:[56, 2, 4], Operations: ['69-65=4']
Exploring Operation: 2*4=8, Resulting Numbers: [56, 8]
Generated Node #3: [56, 8] from Operation: 2*4=8
Current State: 48:[56, 8], Operations: ['69-65=4', '2*4=8']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
28,
19,
29,
45
] | 26 | [
"29-28=1",
"45-19=26",
"1*26=26"
] | Current State: 26:[28, 19, 29, 45], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [19, 45, 1]
Generated Node #2: [19, 45, 1] from Operation: 29-28=1
Current State: 26:[19, 45, 1], Operations: ['29-28=1']
Exploring Operation: 45-19=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 45-19=26
Current State: 26:[1, 26], Operations: ['29-28=1', '45-19=26']
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
27,
57,
74,
90
] | 100 | [
"27+57=84",
"90-74=16",
"84+16=100"
] | Current State: 100:[27, 57, 74, 90], Operations: []
Exploring Operation: 27+57=84, Resulting Numbers: [74, 90, 84]
Generated Node #2: [74, 90, 84] from Operation: 27+57=84
Current State: 100:[74, 90, 84], Operations: ['27+57=84']
Exploring Operation: 90-74=16, Resulting Numbers: [84, 16]
Generated Node #3: [84, 16] from Operation: 90-74=16
Current State: 100:[84, 16], Operations: ['27+57=84', '90-74=16']
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
25,
34,
27,
24
] | 20 | [
"27-25=2",
"34-24=10",
"2*10=20"
] | Current State: 20:[25, 34, 27, 24], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [34, 24, 2]
Generated Node #2: [34, 24, 2] from Operation: 27-25=2
Current State: 20:[34, 24, 2], Operations: ['27-25=2']
Exploring Operation: 34-24=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 34-24=10
Current State: 20:[2, 10], Operations: ['27-25=2', '34-24=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
26,
88,
24,
40
] | 13 | [
"26*24=624",
"88-40=48",
"624/48=13"
] | Current State: 13:[26, 88, 24, 40], Operations: []
Exploring Operation: 26*24=624, Resulting Numbers: [88, 40, 624]
Generated Node #2: [88, 40, 624] from Operation: 26*24=624
Current State: 13:[88, 40, 624], Operations: ['26*24=624']
Exploring Operation: 88-40=48, Resulting Numbers: [624, 48]
Generated Node #3: [624, 48] from Operation: 88-40=48
Current State: 13:[624, 48], Operations: ['26*24=624', '88-40=48']
Exploring Operation: 624/48=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
69,
33,
39,
2
] | 36 | [
"69-39=30",
"33*2=66",
"66-30=36"
] | Current State: 36:[69, 33, 39, 2], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [33, 2, 30]
Generated Node #2: [33, 2, 30] from Operation: 69-39=30
Current State: 36:[33, 2, 30], Operations: ['69-39=30']
Exploring Operation: 33*2=66, Resulting Numbers: [30, 66]
Generated Node #3: [30, 66] from Operation: 33*2=66
Current State: 36:[30, 66], Operations: ['69-39=30', '33*2=66']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
68,
9,
12,
96
] | 48 | [
"68*12=816",
"9*96=864",
"864-816=48"
] | Current State: 48:[68, 9, 12, 96], Operations: []
Exploring Operation: 68*12=816, Resulting Numbers: [9, 96, 816]
Generated Node #2: [9, 96, 816] from Operation: 68*12=816
Current State: 48:[9, 96, 816], Operations: ['68*12=816']
Exploring Operation: 9*96=864, Resulting Numbers: [816, 864]
Generated Node #3: [816, 864] from Operation: 9*96=864
Current State: 48:[816, 864], Operations: ['68*12=816', '9*96=864']
Exploring Operation: 864-816=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
48,
73,
84,
3
] | 40 | [
"48+73=121",
"84-3=81",
"121-81=40"
] | Current State: 40:[48, 73, 84, 3], Operations: []
Exploring Operation: 48+73=121, Resulting Numbers: [84, 3, 121]
Generated Node #2: [84, 3, 121] from Operation: 48+73=121
Current State: 40:[84, 3, 121], Operations: ['48+73=121']
Exploring Operation: 84-3=81, Resulting Numbers: [121, 81]
Generated Node #3: [121, 81] from Operation: 84-3=81
Current State: 40:[121, 81], Operations: ['48+73=121', '84-3=81']
Exploring Operation: 121-81=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
66,
85,
65,
67
] | 17 | [
"85-66=19",
"67-65=2",
"19-2=17"
] | Current State: 17:[66, 85, 65, 67], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [65, 67, 19]
Generated Node #2: [65, 67, 19] from Operation: 85-66=19
Current State: 17:[65, 67, 19], Operations: ['85-66=19']
Exploring Operation: 67-65=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 67-65=2
Current State: 17:[19, 2], Operations: ['85-66=19', '67-65=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
36,
41,
51,
2
] | 24 | [
"36+41=77",
"51+2=53",
"77-53=24"
] | Current State: 24:[36, 41, 51, 2], Operations: []
Exploring Operation: 36+41=77, Resulting Numbers: [51, 2, 77]
Generated Node #2: [51, 2, 77] from Operation: 36+41=77
Current State: 24:[51, 2, 77], Operations: ['36+41=77']
Exploring Operation: 51+2=53, Resulting Numbers: [77, 53]
Generated Node #3: [77, 53] from Operation: 51+2=53
Current State: 24:[77, 53], Operations: ['36+41=77', '51+2=53']
Exploring Operation: 77-53=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
95,
45,
5,
47
] | 95 | [
"95+45=140",
"5*47=235",
"235-140=95"
] | Current State: 95:[95, 45, 5, 47], Operations: []
Exploring Operation: 95+45=140, Resulting Numbers: [5, 47, 140]
Generated Node #2: [5, 47, 140] from Operation: 95+45=140
Current State: 95:[5, 47, 140], Operations: ['95+45=140']
Exploring Operation: 5*47=235, Resulting Numbers: [140, 235]
Generated Node #3: [140, 235] from Operation: 5*47=235
Current State: 95:[140, 235], Operations: ['95+45=140', '5*47=235']
Exploring Operation: 235-140=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
20,
32,
84,
60
] | 55 | [
"60/20=3",
"84-32=52",
"3+52=55"
] | Current State: 55:[20, 32, 84, 60], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [32, 84, 3]
Generated Node #2: [32, 84, 3] from Operation: 60/20=3
Current State: 55:[32, 84, 3], Operations: ['60/20=3']
Exploring Operation: 84-32=52, Resulting Numbers: [3, 52]
Generated Node #3: [3, 52] from Operation: 84-32=52
Current State: 55:[3, 52], Operations: ['60/20=3', '84-32=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
41,
78,
32,
14
] | 70 | [
"78-41=37",
"37-32=5",
"14*5=70"
] | Current State: 70:[41, 78, 32, 14], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [32, 14, 37]
Generated Node #2: [32, 14, 37] from Operation: 78-41=37
Current State: 70:[32, 14, 37], Operations: ['78-41=37']
Exploring Operation: 37-32=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 37-32=5
Current State: 70:[14, 5], Operations: ['78-41=37', '37-32=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
4,
73,
77,
75
] | 67 | [
"73-4=69",
"77-75=2",
"69-2=67"
] | Current State: 67:[4, 73, 77, 75], Operations: []
Exploring Operation: 73-4=69, Resulting Numbers: [77, 75, 69]
Generated Node #2: [77, 75, 69] from Operation: 73-4=69
Current State: 67:[77, 75, 69], Operations: ['73-4=69']
Exploring Operation: 77-75=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 77-75=2
Current State: 67:[69, 2], Operations: ['73-4=69', '77-75=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
13,
24,
10,
89
] | 42 | [
"13+24=37",
"89-10=79",
"79-37=42"
] | Current State: 42:[13, 24, 10, 89], Operations: []
Exploring Operation: 13+24=37, Resulting Numbers: [10, 89, 37]
Generated Node #2: [10, 89, 37] from Operation: 13+24=37
Current State: 42:[10, 89, 37], Operations: ['13+24=37']
Exploring Operation: 89-10=79, Resulting Numbers: [37, 79]
Generated Node #3: [37, 79] from Operation: 89-10=79
Current State: 42:[37, 79], Operations: ['13+24=37', '89-10=79']
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
9,
45,
69
] | 93 | [
"9-7=2",
"69*2=138",
"138-45=93"
] | Current State: 93:[7, 9, 45, 69], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [45, 69, 2]
Generated Node #2: [45, 69, 2] from Operation: 9-7=2
Current State: 93:[45, 69, 2], Operations: ['9-7=2']
Exploring Operation: 69*2=138, Resulting Numbers: [45, 138]
Generated Node #3: [45, 138] from Operation: 69*2=138
Current State: 93:[45, 138], Operations: ['9-7=2', '69*2=138']
Exploring Operation: 138-45=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
39,
38,
10,
3
] | 23 | [
"38+10=48",
"48/3=16",
"39-16=23"
] | Current State: 23:[39, 38, 10, 3], Operations: []
Exploring Operation: 38+10=48, Resulting Numbers: [39, 3, 48]
Generated Node #2: [39, 3, 48] from Operation: 38+10=48
Current State: 23:[39, 3, 48], Operations: ['38+10=48']
Exploring Operation: 48/3=16, Resulting Numbers: [39, 16]
Generated Node #3: [39, 16] from Operation: 48/3=16
Current State: 23:[39, 16], Operations: ['38+10=48', '48/3=16']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
85,
59,
84,
32
] | 92 | [
"85+59=144",
"84-32=52",
"144-52=92"
] | Current State: 92:[85, 59, 84, 32], Operations: []
Exploring Operation: 85+59=144, Resulting Numbers: [84, 32, 144]
Generated Node #2: [84, 32, 144] from Operation: 85+59=144
Current State: 92:[84, 32, 144], Operations: ['85+59=144']
Exploring Operation: 84-32=52, Resulting Numbers: [144, 52]
Generated Node #3: [144, 52] from Operation: 84-32=52
Current State: 92:[144, 52], Operations: ['85+59=144', '84-32=52']
Exploring Operation: 144-52=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
87,
39,
82,
24
] | 68 | [
"87+39=126",
"82-24=58",
"126-58=68"
] | Current State: 68:[87, 39, 82, 24], Operations: []
Exploring Operation: 87+39=126, Resulting Numbers: [82, 24, 126]
Generated Node #2: [82, 24, 126] from Operation: 87+39=126
Current State: 68:[82, 24, 126], Operations: ['87+39=126']
Exploring Operation: 82-24=58, Resulting Numbers: [126, 58]
Generated Node #3: [126, 58] from Operation: 82-24=58
Current State: 68:[126, 58], Operations: ['87+39=126', '82-24=58']
Exploring Operation: 126-58=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
38,
46,
3,
11
] | 35 | [
"46-38=8",
"3*8=24",
"11+24=35"
] | Current State: 35:[38, 46, 3, 11], Operations: []
Exploring Operation: 46-38=8, Resulting Numbers: [3, 11, 8]
Generated Node #2: [3, 11, 8] from Operation: 46-38=8
Current State: 35:[3, 11, 8], Operations: ['46-38=8']
Exploring Operation: 3*8=24, Resulting Numbers: [11, 24]
Generated Node #3: [11, 24] from Operation: 3*8=24
Current State: 35:[11, 24], Operations: ['46-38=8', '3*8=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
83,
89,
59,
54
] | 59 | [
"83+89=172",
"59+54=113",
"172-113=59"
] | Current State: 59:[83, 89, 59, 54], Operations: []
Exploring Operation: 83+89=172, Resulting Numbers: [59, 54, 172]
Generated Node #2: [59, 54, 172] from Operation: 83+89=172
Current State: 59:[59, 54, 172], Operations: ['83+89=172']
Exploring Operation: 59+54=113, Resulting Numbers: [172, 113]
Generated Node #3: [172, 113] from Operation: 59+54=113
Current State: 59:[172, 113], Operations: ['83+89=172', '59+54=113']
Exploring Operation: 172-113=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
30,
12,
80,
52
] | 70 | [
"30+12=42",
"80-52=28",
"42+28=70"
] | Current State: 70:[30, 12, 80, 52], Operations: []
Exploring Operation: 30+12=42, Resulting Numbers: [80, 52, 42]
Generated Node #2: [80, 52, 42] from Operation: 30+12=42
Current State: 70:[80, 52, 42], Operations: ['30+12=42']
Exploring Operation: 80-52=28, Resulting Numbers: [42, 28]
Generated Node #3: [42, 28] from Operation: 80-52=28
Current State: 70:[42, 28], Operations: ['30+12=42', '80-52=28']
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
92,
20,
74,
63
] | 25 | [
"92+20=112",
"74+63=137",
"137-112=25"
] | Current State: 25:[92, 20, 74, 63], Operations: []
Exploring Operation: 92+20=112, Resulting Numbers: [74, 63, 112]
Generated Node #2: [74, 63, 112] from Operation: 92+20=112
Current State: 25:[74, 63, 112], Operations: ['92+20=112']
Exploring Operation: 74+63=137, Resulting Numbers: [112, 137]
Generated Node #3: [112, 137] from Operation: 74+63=137
Current State: 25:[112, 137], Operations: ['92+20=112', '74+63=137']
Exploring Operation: 137-112=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
29,
95,
66,
7
] | 92 | [
"29-7=22",
"66/22=3",
"95-3=92"
] | Current State: 92:[29, 95, 66, 7], Operations: []
Exploring Operation: 29-7=22, Resulting Numbers: [95, 66, 22]
Generated Node #2: [95, 66, 22] from Operation: 29-7=22
Current State: 92:[95, 66, 22], Operations: ['29-7=22']
Exploring Operation: 66/22=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 66/22=3
Current State: 92:[95, 3], Operations: ['29-7=22', '66/22=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
69,
67,
34,
41
] | 45 | [
"69+67=136",
"136/34=4",
"41+4=45"
] | Current State: 45:[69, 67, 34, 41], Operations: []
Exploring Operation: 69+67=136, Resulting Numbers: [34, 41, 136]
Generated Node #2: [34, 41, 136] from Operation: 69+67=136
Current State: 45:[34, 41, 136], Operations: ['69+67=136']
Exploring Operation: 136/34=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 136/34=4
Current State: 45:[41, 4], Operations: ['69+67=136', '136/34=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
93,
98,
12,
44
] | 51 | [
"98-93=5",
"12+44=56",
"56-5=51"
] | Current State: 51:[93, 98, 12, 44], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [12, 44, 5]
Generated Node #2: [12, 44, 5] from Operation: 98-93=5
Current State: 51:[12, 44, 5], Operations: ['98-93=5']
Exploring Operation: 12+44=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 12+44=56
Current State: 51:[5, 56], Operations: ['98-93=5', '12+44=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
32,
58,
16,
36
] | 44 | [
"32/16=2",
"58-36=22",
"2*22=44"
] | Current State: 44:[32, 58, 16, 36], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [58, 36, 2]
Generated Node #2: [58, 36, 2] from Operation: 32/16=2
Current State: 44:[58, 36, 2], Operations: ['32/16=2']
Exploring Operation: 58-36=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 58-36=22
Current State: 44:[2, 22], Operations: ['32/16=2', '58-36=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
81,
93,
89,
4
] | 81 | [
"81+93=174",
"89+4=93",
"174-93=81"
] | Current State: 81:[81, 93, 89, 4], Operations: []
Exploring Operation: 81+93=174, Resulting Numbers: [89, 4, 174]
Generated Node #2: [89, 4, 174] from Operation: 81+93=174
Current State: 81:[89, 4, 174], Operations: ['81+93=174']
Exploring Operation: 89+4=93, Resulting Numbers: [174, 93]
Generated Node #3: [174, 93] from Operation: 89+4=93
Current State: 81:[174, 93], Operations: ['81+93=174', '89+4=93']
Exploring Operation: 174-93=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
97,
76,
49,
67
] | 53 | [
"76*67=5092",
"49+5092=5141",
"5141/97=53"
] | Current State: 53:[97, 76, 49, 67], Operations: []
Exploring Operation: 76*67=5092, Resulting Numbers: [97, 49, 5092]
Generated Node #2: [97, 49, 5092] from Operation: 76*67=5092
Current State: 53:[97, 49, 5092], Operations: ['76*67=5092']
Exploring Operation: 49+5092=5141, Resulting Numbers: [97, 5141]
Generated Node #3: [97, 5141] from Operation: 49+5092=5141
Current State: 53:[97, 5141], Operations: ['76*67=5092', '49+5092=5141']
Exploring Operation: 5141/97=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
8,
68,
26,
27
] | 75 | [
"8+68=76",
"27-26=1",
"76-1=75"
] | Current State: 75:[8, 68, 26, 27], Operations: []
Exploring Operation: 8+68=76, Resulting Numbers: [26, 27, 76]
Generated Node #2: [26, 27, 76] from Operation: 8+68=76
Current State: 75:[26, 27, 76], Operations: ['8+68=76']
Exploring Operation: 27-26=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 27-26=1
Current State: 75:[76, 1], Operations: ['8+68=76', '27-26=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
8,
39,
21,
35
] | 38 | [
"21-8=13",
"39/13=3",
"35+3=38"
] | Current State: 38:[8, 39, 21, 35], Operations: []
Exploring Operation: 21-8=13, Resulting Numbers: [39, 35, 13]
Generated Node #2: [39, 35, 13] from Operation: 21-8=13
Current State: 38:[39, 35, 13], Operations: ['21-8=13']
Exploring Operation: 39/13=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 39/13=3
Current State: 38:[35, 3], Operations: ['21-8=13', '39/13=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
46,
4,
51,
92
] | 20 | [
"46+51=97",
"97-92=5",
"4*5=20"
] | Current State: 20:[46, 4, 51, 92], Operations: []
Exploring Operation: 46+51=97, Resulting Numbers: [4, 92, 97]
Generated Node #2: [4, 92, 97] from Operation: 46+51=97
Current State: 20:[4, 92, 97], Operations: ['46+51=97']
Exploring Operation: 97-92=5, Resulting Numbers: [4, 5]
Generated Node #3: [4, 5] from Operation: 97-92=5
Current State: 20:[4, 5], Operations: ['46+51=97', '97-92=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
1,
48,
98,
20
] | 70 | [
"1*48=48",
"98+20=118",
"118-48=70"
] | Current State: 70:[1, 48, 98, 20], Operations: []
Exploring Operation: 1*48=48, Resulting Numbers: [98, 20, 48]
Generated Node #2: [98, 20, 48] from Operation: 1*48=48
Current State: 70:[98, 20, 48], Operations: ['1*48=48']
Exploring Operation: 98+20=118, Resulting Numbers: [48, 118]
Generated Node #3: [48, 118] from Operation: 98+20=118
Current State: 70:[48, 118], Operations: ['1*48=48', '98+20=118']
Exploring Operation: 118-48=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
5,
40,
31,
57
] | 90 | [
"57-31=26",
"5*26=130",
"130-40=90"
] | Current State: 90:[5, 40, 31, 57], Operations: []
Exploring Operation: 57-31=26, Resulting Numbers: [5, 40, 26]
Generated Node #2: [5, 40, 26] from Operation: 57-31=26
Current State: 90:[5, 40, 26], Operations: ['57-31=26']
Exploring Operation: 5*26=130, Resulting Numbers: [40, 130]
Generated Node #3: [40, 130] from Operation: 5*26=130
Current State: 90:[40, 130], Operations: ['57-31=26', '5*26=130']
Exploring Operation: 130-40=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
71,
91,
99,
88
] | 84 | [
"99-71=28",
"91-88=3",
"28*3=84"
] | Current State: 84:[71, 91, 99, 88], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [91, 88, 28]
Generated Node #2: [91, 88, 28] from Operation: 99-71=28
Current State: 84:[91, 88, 28], Operations: ['99-71=28']
Exploring Operation: 91-88=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 91-88=3
Current State: 84:[28, 3], Operations: ['99-71=28', '91-88=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
79,
23,
72,
13
] | 43 | [
"79+23=102",
"72-13=59",
"102-59=43"
] | Current State: 43:[79, 23, 72, 13], Operations: []
Exploring Operation: 79+23=102, Resulting Numbers: [72, 13, 102]
Generated Node #2: [72, 13, 102] from Operation: 79+23=102
Current State: 43:[72, 13, 102], Operations: ['79+23=102']
Exploring Operation: 72-13=59, Resulting Numbers: [102, 59]
Generated Node #3: [102, 59] from Operation: 72-13=59
Current State: 43:[102, 59], Operations: ['79+23=102', '72-13=59']
Exploring Operation: 102-59=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
74,
13,
59,
4
] | 81 | [
"74+59=133",
"13*4=52",
"133-52=81"
] | Current State: 81:[74, 13, 59, 4], Operations: []
Exploring Operation: 74+59=133, Resulting Numbers: [13, 4, 133]
Generated Node #2: [13, 4, 133] from Operation: 74+59=133
Current State: 81:[13, 4, 133], Operations: ['74+59=133']
Exploring Operation: 13*4=52, Resulting Numbers: [133, 52]
Generated Node #3: [133, 52] from Operation: 13*4=52
Current State: 81:[133, 52], Operations: ['74+59=133', '13*4=52']
Exploring Operation: 133-52=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
30,
92,
32,
96
] | 94 | [
"32-30=2",
"92+96=188",
"188/2=94"
] | Current State: 94:[30, 92, 32, 96], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [92, 96, 2]
Generated Node #2: [92, 96, 2] from Operation: 32-30=2
Current State: 94:[92, 96, 2], Operations: ['32-30=2']
Exploring Operation: 92+96=188, Resulting Numbers: [2, 188]
Generated Node #3: [2, 188] from Operation: 92+96=188
Current State: 94:[2, 188], Operations: ['32-30=2', '92+96=188']
Exploring Operation: 188/2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
55,
82,
38,
82
] | 38 | [
"82-82=0",
"55*0=0",
"38+0=38"
] | Current State: 38:[55, 82, 38, 82], Operations: []
Exploring Operation: 82-82=0, Resulting Numbers: [55, 38, 0]
Generated Node #2: [55, 38, 0] from Operation: 82-82=0
Current State: 38:[55, 38, 0], Operations: ['82-82=0']
Exploring Operation: 55*0=0, Resulting Numbers: [38, 0]
Generated Node #3: [38, 0] from Operation: 55*0=0
Current State: 38:[38, 0], Operations: ['82-82=0', '55*0=0']
Exploring Operation: 38+0=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
31,
26,
10,
85
] | 19 | [
"31-26=5",
"10+85=95",
"95/5=19"
] | Current State: 19:[31, 26, 10, 85], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [10, 85, 5]
Generated Node #2: [10, 85, 5] from Operation: 31-26=5
Current State: 19:[10, 85, 5], Operations: ['31-26=5']
Exploring Operation: 10+85=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 10+85=95
Current State: 19:[5, 95], Operations: ['31-26=5', '10+85=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
62,
29,
63,
9
] | 13 | [
"62+29=91",
"63/9=7",
"91/7=13"
] | Current State: 13:[62, 29, 63, 9], Operations: []
Exploring Operation: 62+29=91, Resulting Numbers: [63, 9, 91]
Generated Node #2: [63, 9, 91] from Operation: 62+29=91
Current State: 13:[63, 9, 91], Operations: ['62+29=91']
Exploring Operation: 63/9=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 63/9=7
Current State: 13:[91, 7], Operations: ['62+29=91', '63/9=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
52,
57,
52,
55
] | 78 | [
"57-55=2",
"52/2=26",
"52+26=78"
] | Current State: 78:[52, 57, 52, 55], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [52, 52, 2]
Generated Node #2: [52, 52, 2] from Operation: 57-55=2
Current State: 78:[52, 52, 2], Operations: ['57-55=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,78 equal: Goal Reached
Exploring Operation: 52+26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
20,
29,
2,
8
] | 30 | [
"20+8=28",
"29*2=58",
"58-28=30"
] | Current State: 30:[20, 29, 2, 8], Operations: []
Exploring Operation: 20+8=28, Resulting Numbers: [29, 2, 28]
Generated Node #2: [29, 2, 28] from Operation: 20+8=28
Current State: 30:[29, 2, 28], Operations: ['20+8=28']
Exploring Operation: 29*2=58, Resulting Numbers: [28, 58]
Generated Node #3: [28, 58] from Operation: 29*2=58
Current State: 30:[28, 58], Operations: ['20+8=28', '29*2=58']
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
90,
19,
76,
22
] | 27 | [
"90-19=71",
"76+22=98",
"98-71=27"
] | Current State: 27:[90, 19, 76, 22], Operations: []
Exploring Operation: 90-19=71, Resulting Numbers: [76, 22, 71]
Generated Node #2: [76, 22, 71] from Operation: 90-19=71
Current State: 27:[76, 22, 71], Operations: ['90-19=71']
Exploring Operation: 76+22=98, Resulting Numbers: [71, 98]
Generated Node #3: [71, 98] from Operation: 76+22=98
Current State: 27:[71, 98], Operations: ['90-19=71', '76+22=98']
Exploring Operation: 98-71=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
38,
96,
39,
40
] | 87 | [
"40-38=2",
"96/2=48",
"39+48=87"
] | Current State: 87:[38, 96, 39, 40], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [96, 39, 2]
Generated Node #2: [96, 39, 2] from Operation: 40-38=2
Current State: 87:[96, 39, 2], Operations: ['40-38=2']
Exploring Operation: 96/2=48, Resulting Numbers: [39, 48]
Generated Node #3: [39, 48] from Operation: 96/2=48
Current State: 87:[39, 48], Operations: ['40-38=2', '96/2=48']
Exploring Operation: 39+48=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
16,
7,
8
] | 35 | [
"24+16=40",
"7*40=280",
"280/8=35"
] | Current State: 35:[24, 16, 7, 8], Operations: []
Exploring Operation: 24+16=40, Resulting Numbers: [7, 8, 40]
Generated Node #2: [7, 8, 40] from Operation: 24+16=40
Current State: 35:[7, 8, 40], Operations: ['24+16=40']
Exploring Operation: 7*40=280, Resulting Numbers: [8, 280]
Generated Node #3: [8, 280] from Operation: 7*40=280
Current State: 35:[8, 280], Operations: ['24+16=40', '7*40=280']
Exploring Operation: 280/8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
69,
19,
16,
93
] | 100 | [
"19-16=3",
"93/3=31",
"69+31=100"
] | Current State: 100:[69, 19, 16, 93], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [69, 93, 3]
Generated Node #2: [69, 93, 3] from Operation: 19-16=3
Current State: 100:[69, 93, 3], Operations: ['19-16=3']
Exploring Operation: 93/3=31, Resulting Numbers: [69, 31]
Generated Node #3: [69, 31] from Operation: 93/3=31
Current State: 100:[69, 31], Operations: ['19-16=3', '93/3=31']
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
91,
71,
67,
7
] | 63 | [
"71-67=4",
"7*4=28",
"91-28=63"
] | Current State: 63:[91, 71, 67, 7], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [91, 7, 4]
Generated Node #2: [91, 7, 4] from Operation: 71-67=4
Current State: 63:[91, 7, 4], Operations: ['71-67=4']
Exploring Operation: 7*4=28, Resulting Numbers: [91, 28]
Generated Node #3: [91, 28] from Operation: 7*4=28
Current State: 63:[91, 28], Operations: ['71-67=4', '7*4=28']
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
30,
4,
96,
68
] | 94 | [
"30+4=34",
"68/34=2",
"96-2=94"
] | Current State: 94:[30, 4, 96, 68], Operations: []
Exploring Operation: 30+4=34, Resulting Numbers: [96, 68, 34]
Generated Node #2: [96, 68, 34] from Operation: 30+4=34
Current State: 94:[96, 68, 34], Operations: ['30+4=34']
Exploring Operation: 68/34=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 68/34=2
Current State: 94:[96, 2], Operations: ['30+4=34', '68/34=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
73,
51,
72,
93
] | 75 | [
"51+93=144",
"144/72=2",
"73+2=75"
] | Current State: 75:[73, 51, 72, 93], Operations: []
Exploring Operation: 51+93=144, Resulting Numbers: [73, 72, 144]
Generated Node #2: [73, 72, 144] from Operation: 51+93=144
Current State: 75:[73, 72, 144], Operations: ['51+93=144']
Exploring Operation: 144/72=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 144/72=2
Current State: 75:[73, 2], Operations: ['51+93=144', '144/72=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
46,
24,
40,
12
] | 48 | [
"46-40=6",
"24*12=288",
"288/6=48"
] | Current State: 48:[46, 24, 40, 12], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [24, 12, 6]
Generated Node #2: [24, 12, 6] from Operation: 46-40=6
Current State: 48:[24, 12, 6], Operations: ['46-40=6']
Exploring Operation: 24*12=288, Resulting Numbers: [6, 288]
Generated Node #3: [6, 288] from Operation: 24*12=288
Current State: 48:[6, 288], Operations: ['46-40=6', '24*12=288']
Exploring Operation: 288/6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
9,
4,
23,
8
] | 18 | [
"9+4=13",
"23+8=31",
"31-13=18"
] | Current State: 18:[9, 4, 23, 8], Operations: []
Exploring Operation: 9+4=13, Resulting Numbers: [23, 8, 13]
Generated Node #2: [23, 8, 13] from Operation: 9+4=13
Current State: 18:[23, 8, 13], Operations: ['9+4=13']
Exploring Operation: 23+8=31, Resulting Numbers: [13, 31]
Generated Node #3: [13, 31] from Operation: 23+8=31
Current State: 18:[13, 31], Operations: ['9+4=13', '23+8=31']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
87,
63,
66,
68
] | 97 | [
"66-63=3",
"87/3=29",
"68+29=97"
] | Current State: 97:[87, 63, 66, 68], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [87, 68, 3]
Generated Node #2: [87, 68, 3] from Operation: 66-63=3
Current State: 97:[87, 68, 3], Operations: ['66-63=3']
Exploring Operation: 87/3=29, Resulting Numbers: [68, 29]
Generated Node #3: [68, 29] from Operation: 87/3=29
Current State: 97:[68, 29], Operations: ['66-63=3', '87/3=29']
Exploring Operation: 68+29=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
20,
22,
70
] | 47 | [
"20-19=1",
"70-22=48",
"48-1=47"
] | Current State: 47:[19, 20, 22, 70], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [22, 70, 1]
Generated Node #2: [22, 70, 1] from Operation: 20-19=1
Current State: 47:[22, 70, 1], Operations: ['20-19=1']
Exploring Operation: 70-22=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 70-22=48
Current State: 47:[1, 48], Operations: ['20-19=1', '70-22=48']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
67,
32,
72,
31
] | 81 | [
"67-31=36",
"72*36=2592",
"2592/32=81"
] | Current State: 81:[67, 32, 72, 31], Operations: []
Exploring Operation: 67-31=36, Resulting Numbers: [32, 72, 36]
Generated Node #2: [32, 72, 36] from Operation: 67-31=36
Current State: 81:[32, 72, 36], Operations: ['67-31=36']
Exploring Operation: 72*36=2592, Resulting Numbers: [32, 2592]
Generated Node #3: [32, 2592] from Operation: 72*36=2592
Current State: 81:[32, 2592], Operations: ['67-31=36', '72*36=2592']
Exploring Operation: 2592/32=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
71,
61,
59,
92
] | 50 | [
"61-59=2",
"71*2=142",
"142-92=50"
] | Current State: 50:[71, 61, 59, 92], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [71, 92, 2]
Generated Node #2: [71, 92, 2] from Operation: 61-59=2
Current State: 50:[71, 92, 2], Operations: ['61-59=2']
Exploring Operation: 71*2=142, Resulting Numbers: [92, 142]
Generated Node #3: [92, 142] from Operation: 71*2=142
Current State: 50:[92, 142], Operations: ['61-59=2', '71*2=142']
Exploring Operation: 142-92=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
13,
10,
57,
1
] | 18 | [
"13-10=3",
"57/3=19",
"19-1=18"
] | Current State: 18:[13, 10, 57, 1], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [57, 1, 3]
Generated Node #2: [57, 1, 3] from Operation: 13-10=3
Current State: 18:[57, 1, 3], Operations: ['13-10=3']
Exploring Operation: 57/3=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 57/3=19
Current State: 18:[1, 19], Operations: ['13-10=3', '57/3=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
70,
14,
63,
53
] | 55 | [
"70-63=7",
"14/7=2",
"53+2=55"
] | Current State: 55:[70, 14, 63, 53], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [14, 53, 7]
Generated Node #2: [14, 53, 7] from Operation: 70-63=7
Current State: 55:[14, 53, 7], Operations: ['70-63=7']
Exploring Operation: 14/7=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 14/7=2
Current State: 55:[53, 2], Operations: ['70-63=7', '14/7=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
22,
2,
25,
28
] | 73 | [
"22-2=20",
"25+28=53",
"20+53=73"
] | Current State: 73:[22, 2, 25, 28], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [25, 28, 20]
Generated Node #2: [25, 28, 20] from Operation: 22-2=20
Current State: 73:[25, 28, 20], Operations: ['22-2=20']
Exploring Operation: 25+28=53, Resulting Numbers: [20, 53]
Generated Node #3: [20, 53] from Operation: 25+28=53
Current State: 73:[20, 53], Operations: ['22-2=20', '25+28=53']
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
77,
25,
49,
2
] | 75 | [
"77-25=52",
"52/2=26",
"49+26=75"
] | Current State: 75:[77, 25, 49, 2], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [49, 2, 52]
Generated Node #2: [49, 2, 52] from Operation: 77-25=52
Current State: 75:[49, 2, 52], Operations: ['77-25=52']
Exploring Operation: 52/2=26, Resulting Numbers: [49, 26]
Generated Node #3: [49, 26] from Operation: 52/2=26
Current State: 75:[49, 26], Operations: ['77-25=52', '52/2=26']
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
38,
30,
91,
22
] | 77 | [
"38-30=8",
"91-22=69",
"8+69=77"
] | Current State: 77:[38, 30, 91, 22], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [91, 22, 8]
Generated Node #2: [91, 22, 8] from Operation: 38-30=8
Current State: 77:[91, 22, 8], Operations: ['38-30=8']
Exploring Operation: 91-22=69, Resulting Numbers: [8, 69]
Generated Node #3: [8, 69] from Operation: 91-22=69
Current State: 77:[8, 69], Operations: ['38-30=8', '91-22=69']
Exploring Operation: 8+69=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
71,
3,
34,
39
] | 50 | [
"71-34=37",
"39/3=13",
"37+13=50"
] | Current State: 50:[71, 3, 34, 39], Operations: []
Exploring Operation: 71-34=37, Resulting Numbers: [3, 39, 37]
Generated Node #2: [3, 39, 37] from Operation: 71-34=37
Current State: 50:[3, 39, 37], Operations: ['71-34=37']
Exploring Operation: 39/3=13, Resulting Numbers: [37, 13]
Generated Node #3: [37, 13] from Operation: 39/3=13
Current State: 50:[37, 13], Operations: ['71-34=37', '39/3=13']
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
71,
28,
69,
47
] | 73 | [
"71-28=43",
"69+47=116",
"116-43=73"
] | Current State: 73:[71, 28, 69, 47], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [69, 47, 43]
Generated Node #2: [69, 47, 43] from Operation: 71-28=43
Current State: 73:[69, 47, 43], Operations: ['71-28=43']
Exploring Operation: 69+47=116, Resulting Numbers: [43, 116]
Generated Node #3: [43, 116] from Operation: 69+47=116
Current State: 73:[43, 116], Operations: ['71-28=43', '69+47=116']
Exploring Operation: 116-43=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
9,
87,
22,
82
] | 65 | [
"22-9=13",
"87-82=5",
"13*5=65"
] | Current State: 65:[9, 87, 22, 82], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [87, 82, 13]
Generated Node #2: [87, 82, 13] from Operation: 22-9=13
Current State: 65:[87, 82, 13], Operations: ['22-9=13']
Exploring Operation: 87-82=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 87-82=5
Current State: 65:[13, 5], Operations: ['22-9=13', '87-82=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
15,
72,
27,
82
] | 76 | [
"27-15=12",
"72/12=6",
"82-6=76"
] | Current State: 76:[15, 72, 27, 82], Operations: []
Exploring Operation: 27-15=12, Resulting Numbers: [72, 82, 12]
Generated Node #2: [72, 82, 12] from Operation: 27-15=12
Current State: 76:[72, 82, 12], Operations: ['27-15=12']
Exploring Operation: 72/12=6, Resulting Numbers: [82, 6]
Generated Node #3: [82, 6] from Operation: 72/12=6
Current State: 76:[82, 6], Operations: ['27-15=12', '72/12=6']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
54,
55,
56,
75
] | 40 | [
"56-54=2",
"75-55=20",
"2*20=40"
] | Current State: 40:[54, 55, 56, 75], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [55, 75, 2]
Generated Node #2: [55, 75, 2] from Operation: 56-54=2
Current State: 40:[55, 75, 2], Operations: ['56-54=2']
Exploring Operation: 75-55=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 75-55=20
Current State: 40:[2, 20], Operations: ['56-54=2', '75-55=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
30,
44,
45,
2
] | 33 | [
"44-30=14",
"45+2=47",
"47-14=33"
] | Current State: 33:[30, 44, 45, 2], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [45, 2, 14]
Generated Node #2: [45, 2, 14] from Operation: 44-30=14
Current State: 33:[45, 2, 14], Operations: ['44-30=14']
Exploring Operation: 45+2=47, Resulting Numbers: [14, 47]
Generated Node #3: [14, 47] from Operation: 45+2=47
Current State: 33:[14, 47], Operations: ['44-30=14', '45+2=47']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
14,
68,
15,
31
] | 19 | [
"31-14=17",
"68/17=4",
"15+4=19"
] | Current State: 19:[14, 68, 15, 31], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [68, 15, 17]
Generated Node #2: [68, 15, 17] from Operation: 31-14=17
Current State: 19:[68, 15, 17], Operations: ['31-14=17']
Exploring Operation: 68/17=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 68/17=4
Current State: 19:[15, 4], Operations: ['31-14=17', '68/17=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
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