nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
38,
13,
69,
40
] | 22 | [
"38+13=51",
"69-40=29",
"51-29=22"
] | Current State: 22:[38, 13, 69, 40], Operations: []
Exploring Operation: 38+13=51, Resulting Numbers: [69, 40, 51]
Generated Node #2: [69, 40, 51] from Operation: 38+13=51
Current State: 22:[69, 40, 51], Operations: ['38+13=51']
Exploring Operation: 69-40=29, Resulting Numbers: [51, 29]
Generated Node #3: [51, 29] from Operation: 69-40=29
Current State: 22:[51, 29], Operations: ['38+13=51', '69-40=29']
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
3,
30,
17,
62
] | 46 | [
"3+30=33",
"17+62=79",
"79-33=46"
] | Current State: 46:[3, 30, 17, 62], Operations: []
Exploring Operation: 3+30=33, Resulting Numbers: [17, 62, 33]
Generated Node #2: [17, 62, 33] from Operation: 3+30=33
Current State: 46:[17, 62, 33], Operations: ['3+30=33']
Exploring Operation: 17+62=79, Resulting Numbers: [33, 79]
Generated Node #3: [33, 79] from Operation: 17+62=79
Current State: 46:[33, 79], Operations: ['3+30=33', '17+62=79']
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
36,
31,
34,
22
] | 76 | [
"36-31=5",
"22*5=110",
"110-34=76"
] | Current State: 76:[36, 31, 34, 22], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [34, 22, 5]
Generated Node #2: [34, 22, 5] from Operation: 36-31=5
Current State: 76:[34, 22, 5], Operations: ['36-31=5']
Exploring Operation: 22*5=110, Resulting Numbers: [34, 110]
Generated Node #3: [34, 110] from Operation: 22*5=110
Current State: 76:[34, 110], Operations: ['36-31=5', '22*5=110']
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
71,
47,
23,
88
] | 87 | [
"71-47=24",
"23+88=111",
"111-24=87"
] | Current State: 87:[71, 47, 23, 88], Operations: []
Exploring Operation: 71-47=24, Resulting Numbers: [23, 88, 24]
Generated Node #2: [23, 88, 24] from Operation: 71-47=24
Current State: 87:[23, 88, 24], Operations: ['71-47=24']
Exploring Operation: 23+88=111, Resulting Numbers: [24, 111]
Generated Node #3: [24, 111] from Operation: 23+88=111
Current State: 87:[24, 111], Operations: ['71-47=24', '23+88=111']
Exploring Operation: 111-24=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
12,
7,
58,
18
] | 95 | [
"12+7=19",
"58+18=76",
"19+76=95"
] | Current State: 95:[12, 7, 58, 18], Operations: []
Exploring Operation: 12+7=19, Resulting Numbers: [58, 18, 19]
Generated Node #2: [58, 18, 19] from Operation: 12+7=19
Current State: 95:[58, 18, 19], Operations: ['12+7=19']
Exploring Operation: 58+18=76, Resulting Numbers: [19, 76]
Generated Node #3: [19, 76] from Operation: 58+18=76
Current State: 95:[19, 76], Operations: ['12+7=19', '58+18=76']
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
63,
45,
73,
45
] | 100 | [
"63-45=18",
"73+45=118",
"118-18=100"
] | Current State: 100:[63, 45, 73, 45], Operations: []
Exploring Operation: 63-45=18, Resulting Numbers: [73, 18]
Generated Node #2: [73, 18] from Operation: 63-45=18
Current State: 100:[73, 18], Operations: ['63-45=18']
Exploring Operation: 73+45=118, Resulting Numbers: [18, 118]
Generated Node #3: [18, 118] from Operation: 73+45=118
Current State: 100:[18, 118], Operations: ['63-45=18', '73+45=118']
Exploring Operation: 118-18=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
76,
23,
31,
51
] | 29 | [
"76-23=53",
"31+51=82",
"82-53=29"
] | Current State: 29:[76, 23, 31, 51], Operations: []
Exploring Operation: 76-23=53, Resulting Numbers: [31, 51, 53]
Generated Node #2: [31, 51, 53] from Operation: 76-23=53
Current State: 29:[31, 51, 53], Operations: ['76-23=53']
Exploring Operation: 31+51=82, Resulting Numbers: [53, 82]
Generated Node #3: [53, 82] from Operation: 31+51=82
Current State: 29:[53, 82], Operations: ['76-23=53', '31+51=82']
Exploring Operation: 82-53=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
77,
72,
93,
74
] | 32 | [
"93-77=16",
"74-72=2",
"16*2=32"
] | Current State: 32:[77, 72, 93, 74], Operations: []
Exploring Operation: 93-77=16, Resulting Numbers: [72, 74, 16]
Generated Node #2: [72, 74, 16] from Operation: 93-77=16
Current State: 32:[72, 74, 16], Operations: ['93-77=16']
Exploring Operation: 74-72=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 74-72=2
Current State: 32:[16, 2], Operations: ['93-77=16', '74-72=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
36,
83,
13,
42
] | 64 | [
"36+83=119",
"13+42=55",
"119-55=64"
] | Current State: 64:[36, 83, 13, 42], Operations: []
Exploring Operation: 36+83=119, Resulting Numbers: [13, 42, 119]
Generated Node #2: [13, 42, 119] from Operation: 36+83=119
Current State: 64:[13, 42, 119], Operations: ['36+83=119']
Exploring Operation: 13+42=55, Resulting Numbers: [119, 55]
Generated Node #3: [119, 55] from Operation: 13+42=55
Current State: 64:[119, 55], Operations: ['36+83=119', '13+42=55']
Exploring Operation: 119-55=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
40,
65,
5,
4
] | 12 | [
"65/5=13",
"4*13=52",
"52-40=12"
] | Current State: 12:[40, 65, 5, 4], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [40, 4, 13]
Generated Node #2: [40, 4, 13] from Operation: 65/5=13
Current State: 12:[40, 4, 13], Operations: ['65/5=13']
Exploring Operation: 4*13=52, Resulting Numbers: [40, 52]
Generated Node #3: [40, 52] from Operation: 4*13=52
Current State: 12:[40, 52], Operations: ['65/5=13', '4*13=52']
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
64,
27,
94,
64
] | 61 | [
"64+27=91",
"94-64=30",
"91-30=61"
] | Current State: 61:[64, 27, 94, 64], Operations: []
Exploring Operation: 64+27=91, Resulting Numbers: [94, 91]
Generated Node #2: [94, 91] from Operation: 64+27=91
Current State: 61:[94, 91], Operations: ['64+27=91']
Exploring Operation: 94-64=30, Resulting Numbers: [91, 30]
Generated Node #3: [91, 30] from Operation: 94-64=30
Current State: 61:[91, 30], Operations: ['64+27=91', '94-64=30']
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
90,
83,
63,
39
] | 17 | [
"90-83=7",
"63-39=24",
"24-7=17"
] | Current State: 17:[90, 83, 63, 39], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [63, 39, 7]
Generated Node #2: [63, 39, 7] from Operation: 90-83=7
Current State: 17:[63, 39, 7], Operations: ['90-83=7']
Exploring Operation: 63-39=24, Resulting Numbers: [7, 24]
Generated Node #3: [7, 24] from Operation: 63-39=24
Current State: 17:[7, 24], Operations: ['90-83=7', '63-39=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
87,
54,
13,
2
] | 34 | [
"87-13=74",
"54*2=108",
"108-74=34"
] | Current State: 34:[87, 54, 13, 2], Operations: []
Exploring Operation: 87-13=74, Resulting Numbers: [54, 2, 74]
Generated Node #2: [54, 2, 74] from Operation: 87-13=74
Current State: 34:[54, 2, 74], Operations: ['87-13=74']
Exploring Operation: 54*2=108, Resulting Numbers: [74, 108]
Generated Node #3: [74, 108] from Operation: 54*2=108
Current State: 34:[74, 108], Operations: ['87-13=74', '54*2=108']
Exploring Operation: 108-74=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
70,
49,
90,
56
] | 13 | [
"70-49=21",
"90-56=34",
"34-21=13"
] | Current State: 13:[70, 49, 90, 56], Operations: []
Exploring Operation: 70-49=21, Resulting Numbers: [90, 56, 21]
Generated Node #2: [90, 56, 21] from Operation: 70-49=21
Current State: 13:[90, 56, 21], Operations: ['70-49=21']
Exploring Operation: 90-56=34, Resulting Numbers: [21, 34]
Generated Node #3: [21, 34] from Operation: 90-56=34
Current State: 13:[21, 34], Operations: ['70-49=21', '90-56=34']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
66,
43,
2,
35
] | 37 | [
"66+43=109",
"109-35=74",
"74/2=37"
] | Current State: 37:[66, 43, 2, 35], Operations: []
Exploring Operation: 66+43=109, Resulting Numbers: [2, 35, 109]
Generated Node #2: [2, 35, 109] from Operation: 66+43=109
Current State: 37:[2, 35, 109], Operations: ['66+43=109']
Exploring Operation: 109-35=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 109-35=74
Current State: 37:[2, 74], Operations: ['66+43=109', '109-35=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
14,
50,
35,
56
] | 76 | [
"14*50=700",
"700/35=20",
"56+20=76"
] | Current State: 76:[14, 50, 35, 56], Operations: []
Exploring Operation: 14*50=700, Resulting Numbers: [35, 56, 700]
Generated Node #2: [35, 56, 700] from Operation: 14*50=700
Current State: 76:[35, 56, 700], Operations: ['14*50=700']
Exploring Operation: 700/35=20, Resulting Numbers: [56, 20]
Generated Node #3: [56, 20] from Operation: 700/35=20
Current State: 76:[56, 20], Operations: ['14*50=700', '700/35=20']
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
96,
77,
99,
62
] | 13 | [
"96+99=195",
"77-62=15",
"195/15=13"
] | Current State: 13:[96, 77, 99, 62], Operations: []
Exploring Operation: 96+99=195, Resulting Numbers: [77, 62, 195]
Generated Node #2: [77, 62, 195] from Operation: 96+99=195
Current State: 13:[77, 62, 195], Operations: ['96+99=195']
Exploring Operation: 77-62=15, Resulting Numbers: [195, 15]
Generated Node #3: [195, 15] from Operation: 77-62=15
Current State: 13:[195, 15], Operations: ['96+99=195', '77-62=15']
Exploring Operation: 195/15=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
71,
21,
23,
22
] | 93 | [
"71+21=92",
"23-22=1",
"92+1=93"
] | Current State: 93:[71, 21, 23, 22], Operations: []
Exploring Operation: 71+21=92, Resulting Numbers: [23, 22, 92]
Generated Node #2: [23, 22, 92] from Operation: 71+21=92
Current State: 93:[23, 22, 92], Operations: ['71+21=92']
Exploring Operation: 23-22=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 23-22=1
Current State: 93:[92, 1], Operations: ['71+21=92', '23-22=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
31,
7,
3,
17
] | 58 | [
"31+7=38",
"3+17=20",
"38+20=58"
] | Current State: 58:[31, 7, 3, 17], Operations: []
Exploring Operation: 31+7=38, Resulting Numbers: [3, 17, 38]
Generated Node #2: [3, 17, 38] from Operation: 31+7=38
Current State: 58:[3, 17, 38], Operations: ['31+7=38']
Exploring Operation: 3+17=20, Resulting Numbers: [38, 20]
Generated Node #3: [38, 20] from Operation: 3+17=20
Current State: 58:[38, 20], Operations: ['31+7=38', '3+17=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
12,
24,
26,
10
] | 27 | [
"26+10=36",
"36/12=3",
"24+3=27"
] | Current State: 27:[12, 24, 26, 10], Operations: []
Exploring Operation: 26+10=36, Resulting Numbers: [12, 24, 36]
Generated Node #2: [12, 24, 36] from Operation: 26+10=36
Current State: 27:[12, 24, 36], Operations: ['26+10=36']
Exploring Operation: 36/12=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 36/12=3
Current State: 27:[24, 3], Operations: ['26+10=36', '36/12=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
34,
24,
68,
28
] | 86 | [
"34-24=10",
"68+28=96",
"96-10=86"
] | Current State: 86:[34, 24, 68, 28], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [68, 28, 10]
Generated Node #2: [68, 28, 10] from Operation: 34-24=10
Current State: 86:[68, 28, 10], Operations: ['34-24=10']
Exploring Operation: 68+28=96, Resulting Numbers: [10, 96]
Generated Node #3: [10, 96] from Operation: 68+28=96
Current State: 86:[10, 96], Operations: ['34-24=10', '68+28=96']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
33,
9,
55,
12
] | 60 | [
"33+12=45",
"45/9=5",
"55+5=60"
] | Current State: 60:[33, 9, 55, 12], Operations: []
Exploring Operation: 33+12=45, Resulting Numbers: [9, 55, 45]
Generated Node #2: [9, 55, 45] from Operation: 33+12=45
Current State: 60:[9, 55, 45], Operations: ['33+12=45']
Exploring Operation: 45/9=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 45/9=5
Current State: 60:[55, 5], Operations: ['33+12=45', '45/9=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
97,
50,
44
] | 42 | [
"3+97=100",
"100/50=2",
"44-2=42"
] | Current State: 42:[3, 97, 50, 44], Operations: []
Exploring Operation: 3+97=100, Resulting Numbers: [50, 44, 100]
Generated Node #2: [50, 44, 100] from Operation: 3+97=100
Current State: 42:[50, 44, 100], Operations: ['3+97=100']
Exploring Operation: 100/50=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 100/50=2
Current State: 42:[44, 2], Operations: ['3+97=100', '100/50=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
66,
77,
23,
70
] | 83 | [
"66*70=4620",
"4620/77=60",
"23+60=83"
] | Current State: 83:[66, 77, 23, 70], Operations: []
Exploring Operation: 66*70=4620, Resulting Numbers: [77, 23, 4620]
Generated Node #2: [77, 23, 4620] from Operation: 66*70=4620
Current State: 83:[77, 23, 4620], Operations: ['66*70=4620']
Exploring Operation: 4620/77=60, Resulting Numbers: [23, 60]
Generated Node #3: [23, 60] from Operation: 4620/77=60
Current State: 83:[23, 60], Operations: ['66*70=4620', '4620/77=60']
Exploring Operation: 23+60=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
62,
63,
24,
70
] | 93 | [
"63-62=1",
"24+70=94",
"94-1=93"
] | Current State: 93:[62, 63, 24, 70], Operations: []
Exploring Operation: 63-62=1, Resulting Numbers: [24, 70, 1]
Generated Node #2: [24, 70, 1] from Operation: 63-62=1
Current State: 93:[24, 70, 1], Operations: ['63-62=1']
Exploring Operation: 24+70=94, Resulting Numbers: [1, 94]
Generated Node #3: [1, 94] from Operation: 24+70=94
Current State: 93:[1, 94], Operations: ['63-62=1', '24+70=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
3,
19,
9,
33
] | 17 | [
"9/3=3",
"33-19=14",
"3+14=17"
] | Current State: 17:[3, 19, 9, 33], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [19, 33, 3]
Generated Node #2: [19, 33, 3] from Operation: 9/3=3
Current State: 17:[19, 33, 3], Operations: ['9/3=3']
Exploring Operation: 33-19=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 33-19=14
Current State: 17:[3, 14], Operations: ['9/3=3', '33-19=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
78,
75,
88,
93
] | 99 | [
"88-75=13",
"78/13=6",
"93+6=99"
] | Current State: 99:[78, 75, 88, 93], Operations: []
Exploring Operation: 88-75=13, Resulting Numbers: [78, 93, 13]
Generated Node #2: [78, 93, 13] from Operation: 88-75=13
Current State: 99:[78, 93, 13], Operations: ['88-75=13']
Exploring Operation: 78/13=6, Resulting Numbers: [93, 6]
Generated Node #3: [93, 6] from Operation: 78/13=6
Current State: 99:[93, 6], Operations: ['88-75=13', '78/13=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
62,
20,
60,
17
] | 57 | [
"62-60=2",
"20*2=40",
"17+40=57"
] | Current State: 57:[62, 20, 60, 17], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [20, 17, 2]
Generated Node #2: [20, 17, 2] from Operation: 62-60=2
Current State: 57:[20, 17, 2], Operations: ['62-60=2']
Exploring Operation: 20*2=40, Resulting Numbers: [17, 40]
Generated Node #3: [17, 40] from Operation: 20*2=40
Current State: 57:[17, 40], Operations: ['62-60=2', '20*2=40']
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
50,
63,
2,
72
] | 34 | [
"50/2=25",
"72-63=9",
"25+9=34"
] | Current State: 34:[50, 63, 2, 72], Operations: []
Exploring Operation: 50/2=25, Resulting Numbers: [63, 72, 25]
Generated Node #2: [63, 72, 25] from Operation: 50/2=25
Current State: 34:[63, 72, 25], Operations: ['50/2=25']
Exploring Operation: 72-63=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 72-63=9
Current State: 34:[25, 9], Operations: ['50/2=25', '72-63=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
13,
43,
55,
35
] | 10 | [
"43-13=30",
"55-35=20",
"30-20=10"
] | Current State: 10:[13, 43, 55, 35], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [55, 35, 30]
Generated Node #2: [55, 35, 30] from Operation: 43-13=30
Current State: 10:[55, 35, 30], Operations: ['43-13=30']
Exploring Operation: 55-35=20, Resulting Numbers: [30, 20]
Generated Node #3: [30, 20] from Operation: 55-35=20
Current State: 10:[30, 20], Operations: ['43-13=30', '55-35=20']
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
67,
60,
53,
84
] | 41 | [
"67-60=7",
"84/7=12",
"53-12=41"
] | Current State: 41:[67, 60, 53, 84], Operations: []
Exploring Operation: 67-60=7, Resulting Numbers: [53, 84, 7]
Generated Node #2: [53, 84, 7] from Operation: 67-60=7
Current State: 41:[53, 84, 7], Operations: ['67-60=7']
Exploring Operation: 84/7=12, Resulting Numbers: [53, 12]
Generated Node #3: [53, 12] from Operation: 84/7=12
Current State: 41:[53, 12], Operations: ['67-60=7', '84/7=12']
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
87,
98,
28,
29
] | 73 | [
"87/29=3",
"98-28=70",
"3+70=73"
] | Current State: 73:[87, 98, 28, 29], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [98, 28, 3]
Generated Node #2: [98, 28, 3] from Operation: 87/29=3
Current State: 73:[98, 28, 3], Operations: ['87/29=3']
Exploring Operation: 98-28=70, Resulting Numbers: [3, 70]
Generated Node #3: [3, 70] from Operation: 98-28=70
Current State: 73:[3, 70], Operations: ['87/29=3', '98-28=70']
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
3,
79,
1,
58
] | 84 | [
"3+1=4",
"79-58=21",
"4*21=84"
] | Current State: 84:[3, 79, 1, 58], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [79, 58, 4]
Generated Node #2: [79, 58, 4] from Operation: 3+1=4
Current State: 84:[79, 58, 4], Operations: ['3+1=4']
Exploring Operation: 79-58=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 79-58=21
Current State: 84:[4, 21], Operations: ['3+1=4', '79-58=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
30,
7,
75,
80
] | 25 | [
"30*80=2400",
"2400/75=32",
"32-7=25"
] | Current State: 25:[30, 7, 75, 80], Operations: []
Exploring Operation: 30*80=2400, Resulting Numbers: [7, 75, 2400]
Generated Node #2: [7, 75, 2400] from Operation: 30*80=2400
Current State: 25:[7, 75, 2400], Operations: ['30*80=2400']
Exploring Operation: 2400/75=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 2400/75=32
Current State: 25:[7, 32], Operations: ['30*80=2400', '2400/75=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
33,
89,
22,
57
] | 22 | [
"89-33=56",
"57-56=1",
"22*1=22"
] | Current State: 22:[33, 89, 22, 57], Operations: []
Exploring Operation: 89-33=56, Resulting Numbers: [22, 57, 56]
Generated Node #2: [22, 57, 56] from Operation: 89-33=56
Current State: 22:[22, 57, 56], Operations: ['89-33=56']
Exploring Operation: 57-56=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 57-56=1
Current State: 22:[22, 1], Operations: ['89-33=56', '57-56=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
77,
72,
18,
54
] | 58 | [
"77*54=4158",
"18+4158=4176",
"4176/72=58"
] | Current State: 58:[77, 72, 18, 54], Operations: []
Exploring Operation: 77*54=4158, Resulting Numbers: [72, 18, 4158]
Generated Node #2: [72, 18, 4158] from Operation: 77*54=4158
Current State: 58:[72, 18, 4158], Operations: ['77*54=4158']
Exploring Operation: 18+4158=4176, Resulting Numbers: [72, 4176]
Generated Node #3: [72, 4176] from Operation: 18+4158=4176
Current State: 58:[72, 4176], Operations: ['77*54=4158', '18+4158=4176']
Exploring Operation: 4176/72=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
19,
38,
10,
19
] | 47 | [
"19/19=1",
"38+10=48",
"48-1=47"
] | Current State: 47:[19, 38, 10, 19], Operations: []
Exploring Operation: 19/19=1, Resulting Numbers: [38, 10, 1]
Generated Node #2: [38, 10, 1] from Operation: 19/19=1
Current State: 47:[38, 10, 1], Operations: ['19/19=1']
Exploring Operation: 38+10=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 38+10=48
Current State: 47:[1, 48], Operations: ['19/19=1', '38+10=48']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
9,
7,
46,
7
] | 37 | [
"9+7=16",
"46+7=53",
"53-16=37"
] | Current State: 37:[9, 7, 46, 7], Operations: []
Exploring Operation: 9+7=16, Resulting Numbers: [46, 16]
Generated Node #2: [46, 16] from Operation: 9+7=16
Current State: 37:[46, 16], Operations: ['9+7=16']
Exploring Operation: 46+7=53, Resulting Numbers: [16, 53]
Generated Node #3: [16, 53] from Operation: 46+7=53
Current State: 37:[16, 53], Operations: ['9+7=16', '46+7=53']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
4,
31,
81,
83
] | 86 | [
"31-4=27",
"81/27=3",
"83+3=86"
] | Current State: 86:[4, 31, 81, 83], Operations: []
Exploring Operation: 31-4=27, Resulting Numbers: [81, 83, 27]
Generated Node #2: [81, 83, 27] from Operation: 31-4=27
Current State: 86:[81, 83, 27], Operations: ['31-4=27']
Exploring Operation: 81/27=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 81/27=3
Current State: 86:[83, 3], Operations: ['31-4=27', '81/27=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
33,
31,
26,
5
] | 85 | [
"33+31=64",
"26-5=21",
"64+21=85"
] | Current State: 85:[33, 31, 26, 5], Operations: []
Exploring Operation: 33+31=64, Resulting Numbers: [26, 5, 64]
Generated Node #2: [26, 5, 64] from Operation: 33+31=64
Current State: 85:[26, 5, 64], Operations: ['33+31=64']
Exploring Operation: 26-5=21, Resulting Numbers: [64, 21]
Generated Node #3: [64, 21] from Operation: 26-5=21
Current State: 85:[64, 21], Operations: ['33+31=64', '26-5=21']
Exploring Operation: 64+21=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
67,
91,
89,
12
] | 61 | [
"91-89=2",
"12/2=6",
"67-6=61"
] | Current State: 61:[67, 91, 89, 12], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [67, 12, 2]
Generated Node #2: [67, 12, 2] from Operation: 91-89=2
Current State: 61:[67, 12, 2], Operations: ['91-89=2']
Exploring Operation: 12/2=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 12/2=6
Current State: 61:[67, 6], Operations: ['91-89=2', '12/2=6']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
47,
39,
9,
5
] | 67 | [
"47-39=8",
"9*8=72",
"72-5=67"
] | Current State: 67:[47, 39, 9, 5], Operations: []
Exploring Operation: 47-39=8, Resulting Numbers: [9, 5, 8]
Generated Node #2: [9, 5, 8] from Operation: 47-39=8
Current State: 67:[9, 5, 8], Operations: ['47-39=8']
Exploring Operation: 9*8=72, Resulting Numbers: [5, 72]
Generated Node #3: [5, 72] from Operation: 9*8=72
Current State: 67:[5, 72], Operations: ['47-39=8', '9*8=72']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
28,
80,
12,
46
] | 30 | [
"80+12=92",
"92/46=2",
"28+2=30"
] | Current State: 30:[28, 80, 12, 46], Operations: []
Exploring Operation: 80+12=92, Resulting Numbers: [28, 46, 92]
Generated Node #2: [28, 46, 92] from Operation: 80+12=92
Current State: 30:[28, 46, 92], Operations: ['80+12=92']
Exploring Operation: 92/46=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 92/46=2
Current State: 30:[28, 2], Operations: ['80+12=92', '92/46=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
81,
3,
98,
53
] | 39 | [
"81+3=84",
"98-53=45",
"84-45=39"
] | Current State: 39:[81, 3, 98, 53], Operations: []
Exploring Operation: 81+3=84, Resulting Numbers: [98, 53, 84]
Generated Node #2: [98, 53, 84] from Operation: 81+3=84
Current State: 39:[98, 53, 84], Operations: ['81+3=84']
Exploring Operation: 98-53=45, Resulting Numbers: [84, 45]
Generated Node #3: [84, 45] from Operation: 98-53=45
Current State: 39:[84, 45], Operations: ['81+3=84', '98-53=45']
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
42,
27,
25,
29
] | 40 | [
"25+29=54",
"54/27=2",
"42-2=40"
] | Current State: 40:[42, 27, 25, 29], Operations: []
Exploring Operation: 25+29=54, Resulting Numbers: [42, 27, 54]
Generated Node #2: [42, 27, 54] from Operation: 25+29=54
Current State: 40:[42, 27, 54], Operations: ['25+29=54']
Exploring Operation: 54/27=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 54/27=2
Current State: 40:[42, 2], Operations: ['25+29=54', '54/27=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
83,
20,
43,
82
] | 64 | [
"83+20=103",
"82-43=39",
"103-39=64"
] | Current State: 64:[83, 20, 43, 82], Operations: []
Exploring Operation: 83+20=103, Resulting Numbers: [43, 82, 103]
Generated Node #2: [43, 82, 103] from Operation: 83+20=103
Current State: 64:[43, 82, 103], Operations: ['83+20=103']
Exploring Operation: 82-43=39, Resulting Numbers: [103, 39]
Generated Node #3: [103, 39] from Operation: 82-43=39
Current State: 64:[103, 39], Operations: ['83+20=103', '82-43=39']
Exploring Operation: 103-39=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
63,
24,
94,
63
] | 69 | [
"63/63=1",
"94-24=70",
"70-1=69"
] | Current State: 69:[63, 24, 94, 63], Operations: []
Exploring Operation: 63/63=1, Resulting Numbers: [24, 94, 1]
Generated Node #2: [24, 94, 1] from Operation: 63/63=1
Current State: 69:[24, 94, 1], Operations: ['63/63=1']
Exploring Operation: 94-24=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 94-24=70
Current State: 69:[1, 70], Operations: ['63/63=1', '94-24=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
74,
90,
36,
6
] | 53 | [
"74-36=38",
"90/6=15",
"38+15=53"
] | Current State: 53:[74, 90, 36, 6], Operations: []
Exploring Operation: 74-36=38, Resulting Numbers: [90, 6, 38]
Generated Node #2: [90, 6, 38] from Operation: 74-36=38
Current State: 53:[90, 6, 38], Operations: ['74-36=38']
Exploring Operation: 90/6=15, Resulting Numbers: [38, 15]
Generated Node #3: [38, 15] from Operation: 90/6=15
Current State: 53:[38, 15], Operations: ['74-36=38', '90/6=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
23,
91,
54,
31
] | 43 | [
"23*54=1242",
"91+1242=1333",
"1333/31=43"
] | Current State: 43:[23, 91, 54, 31], Operations: []
Exploring Operation: 23*54=1242, Resulting Numbers: [91, 31, 1242]
Generated Node #2: [91, 31, 1242] from Operation: 23*54=1242
Current State: 43:[91, 31, 1242], Operations: ['23*54=1242']
Exploring Operation: 91+1242=1333, Resulting Numbers: [31, 1333]
Generated Node #3: [31, 1333] from Operation: 91+1242=1333
Current State: 43:[31, 1333], Operations: ['23*54=1242', '91+1242=1333']
Exploring Operation: 1333/31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
42,
28,
11,
4
] | 35 | [
"28*11=308",
"308/4=77",
"77-42=35"
] | Current State: 35:[42, 28, 11, 4], Operations: []
Exploring Operation: 28*11=308, Resulting Numbers: [42, 4, 308]
Generated Node #2: [42, 4, 308] from Operation: 28*11=308
Current State: 35:[42, 4, 308], Operations: ['28*11=308']
Exploring Operation: 308/4=77, Resulting Numbers: [42, 77]
Generated Node #3: [42, 77] from Operation: 308/4=77
Current State: 35:[42, 77], Operations: ['28*11=308', '308/4=77']
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
42,
27,
47,
19
] | 97 | [
"42+27=69",
"47-19=28",
"69+28=97"
] | Current State: 97:[42, 27, 47, 19], Operations: []
Exploring Operation: 42+27=69, Resulting Numbers: [47, 19, 69]
Generated Node #2: [47, 19, 69] from Operation: 42+27=69
Current State: 97:[47, 19, 69], Operations: ['42+27=69']
Exploring Operation: 47-19=28, Resulting Numbers: [69, 28]
Generated Node #3: [69, 28] from Operation: 47-19=28
Current State: 97:[69, 28], Operations: ['42+27=69', '47-19=28']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
34,
33,
45,
79
] | 78 | [
"33*79=2607",
"45+2607=2652",
"2652/34=78"
] | Current State: 78:[34, 33, 45, 79], Operations: []
Exploring Operation: 33*79=2607, Resulting Numbers: [34, 45, 2607]
Generated Node #2: [34, 45, 2607] from Operation: 33*79=2607
Current State: 78:[34, 45, 2607], Operations: ['33*79=2607']
Exploring Operation: 45+2607=2652, Resulting Numbers: [34, 2652]
Generated Node #3: [34, 2652] from Operation: 45+2607=2652
Current State: 78:[34, 2652], Operations: ['33*79=2607', '45+2607=2652']
Exploring Operation: 2652/34=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
74,
46,
43,
78
] | 93 | [
"74-46=28",
"43+78=121",
"121-28=93"
] | Current State: 93:[74, 46, 43, 78], Operations: []
Exploring Operation: 74-46=28, Resulting Numbers: [43, 78, 28]
Generated Node #2: [43, 78, 28] from Operation: 74-46=28
Current State: 93:[43, 78, 28], Operations: ['74-46=28']
Exploring Operation: 43+78=121, Resulting Numbers: [28, 121]
Generated Node #3: [28, 121] from Operation: 43+78=121
Current State: 93:[28, 121], Operations: ['74-46=28', '43+78=121']
Exploring Operation: 121-28=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
68,
27,
28,
96
] | 26 | [
"68+28=96",
"96/96=1",
"27-1=26"
] | Current State: 26:[68, 27, 28, 96], Operations: []
Exploring Operation: 68+28=96, Resulting Numbers: [27, 96, 96]
Generated Node #2: [27, 96, 96] from Operation: 68+28=96
Current State: 26:[27, 96, 96], Operations: ['68+28=96']
Exploring Operation: 96/96=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 96/96=1
Current State: 26:[27, 1], Operations: ['68+28=96', '96/96=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
88,
99,
50,
22
] | 64 | [
"50+22=72",
"88*72=6336",
"6336/99=64"
] | Current State: 64:[88, 99, 50, 22], Operations: []
Exploring Operation: 50+22=72, Resulting Numbers: [88, 99, 72]
Generated Node #2: [88, 99, 72] from Operation: 50+22=72
Current State: 64:[88, 99, 72], Operations: ['50+22=72']
Exploring Operation: 88*72=6336, Resulting Numbers: [99, 6336]
Generated Node #3: [99, 6336] from Operation: 88*72=6336
Current State: 64:[99, 6336], Operations: ['50+22=72', '88*72=6336']
Exploring Operation: 6336/99=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
95,
71,
8,
97
] | 61 | [
"95+71=166",
"8+97=105",
"166-105=61"
] | Current State: 61:[95, 71, 8, 97], Operations: []
Exploring Operation: 95+71=166, Resulting Numbers: [8, 97, 166]
Generated Node #2: [8, 97, 166] from Operation: 95+71=166
Current State: 61:[8, 97, 166], Operations: ['95+71=166']
Exploring Operation: 8+97=105, Resulting Numbers: [166, 105]
Generated Node #3: [166, 105] from Operation: 8+97=105
Current State: 61:[166, 105], Operations: ['95+71=166', '8+97=105']
Exploring Operation: 166-105=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
37,
3,
19,
28
] | 81 | [
"37-3=34",
"19+28=47",
"34+47=81"
] | Current State: 81:[37, 3, 19, 28], Operations: []
Exploring Operation: 37-3=34, Resulting Numbers: [19, 28, 34]
Generated Node #2: [19, 28, 34] from Operation: 37-3=34
Current State: 81:[19, 28, 34], Operations: ['37-3=34']
Exploring Operation: 19+28=47, Resulting Numbers: [34, 47]
Generated Node #3: [34, 47] from Operation: 19+28=47
Current State: 81:[34, 47], Operations: ['37-3=34', '19+28=47']
Exploring Operation: 34+47=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
54,
81,
84,
96
] | 40 | [
"54*84=4536",
"4536/81=56",
"96-56=40"
] | Current State: 40:[54, 81, 84, 96], Operations: []
Exploring Operation: 54*84=4536, Resulting Numbers: [81, 96, 4536]
Generated Node #2: [81, 96, 4536] from Operation: 54*84=4536
Current State: 40:[81, 96, 4536], Operations: ['54*84=4536']
Exploring Operation: 4536/81=56, Resulting Numbers: [96, 56]
Generated Node #3: [96, 56] from Operation: 4536/81=56
Current State: 40:[96, 56], Operations: ['54*84=4536', '4536/81=56']
Exploring Operation: 96-56=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
13,
64,
63,
6
] | 19 | [
"64-13=51",
"63+51=114",
"114/6=19"
] | Current State: 19:[13, 64, 63, 6], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [63, 6, 51]
Generated Node #2: [63, 6, 51] from Operation: 64-13=51
Current State: 19:[63, 6, 51], Operations: ['64-13=51']
Exploring Operation: 63+51=114, Resulting Numbers: [6, 114]
Generated Node #3: [6, 114] from Operation: 63+51=114
Current State: 19:[6, 114], Operations: ['64-13=51', '63+51=114']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
90,
84,
57,
95
] | 10 | [
"90-84=6",
"95*6=570",
"570/57=10"
] | Current State: 10:[90, 84, 57, 95], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [57, 95, 6]
Generated Node #2: [57, 95, 6] from Operation: 90-84=6
Current State: 10:[57, 95, 6], Operations: ['90-84=6']
Exploring Operation: 95*6=570, Resulting Numbers: [57, 570]
Generated Node #3: [57, 570] from Operation: 95*6=570
Current State: 10:[57, 570], Operations: ['90-84=6', '95*6=570']
Exploring Operation: 570/57=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
96,
31,
2
] | 25 | [
"7*31=217",
"96*2=192",
"217-192=25"
] | Current State: 25:[7, 96, 31, 2], Operations: []
Exploring Operation: 7*31=217, Resulting Numbers: [96, 2, 217]
Generated Node #2: [96, 2, 217] from Operation: 7*31=217
Current State: 25:[96, 2, 217], Operations: ['7*31=217']
Exploring Operation: 96*2=192, Resulting Numbers: [217, 192]
Generated Node #3: [217, 192] from Operation: 96*2=192
Current State: 25:[217, 192], Operations: ['7*31=217', '96*2=192']
Exploring Operation: 217-192=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
92,
4,
55,
83
] | 91 | [
"92-83=9",
"4*9=36",
"55+36=91"
] | Current State: 91:[92, 4, 55, 83], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [4, 55, 9]
Generated Node #2: [4, 55, 9] from Operation: 92-83=9
Current State: 91:[4, 55, 9], Operations: ['92-83=9']
Exploring Operation: 4*9=36, Resulting Numbers: [55, 36]
Generated Node #3: [55, 36] from Operation: 4*9=36
Current State: 91:[55, 36], Operations: ['92-83=9', '4*9=36']
Exploring Operation: 55+36=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
63,
37,
85,
26
] | 66 | [
"85+26=111",
"111/37=3",
"63+3=66"
] | Current State: 66:[63, 37, 85, 26], Operations: []
Exploring Operation: 85+26=111, Resulting Numbers: [63, 37, 111]
Generated Node #2: [63, 37, 111] from Operation: 85+26=111
Current State: 66:[63, 37, 111], Operations: ['85+26=111']
Exploring Operation: 111/37=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 111/37=3
Current State: 66:[63, 3], Operations: ['85+26=111', '111/37=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
58,
8,
64,
4
] | 35 | [
"58*4=232",
"232/8=29",
"64-29=35"
] | Current State: 35:[58, 8, 64, 4], Operations: []
Exploring Operation: 58*4=232, Resulting Numbers: [8, 64, 232]
Generated Node #2: [8, 64, 232] from Operation: 58*4=232
Current State: 35:[8, 64, 232], Operations: ['58*4=232']
Exploring Operation: 232/8=29, Resulting Numbers: [64, 29]
Generated Node #3: [64, 29] from Operation: 232/8=29
Current State: 35:[64, 29], Operations: ['58*4=232', '232/8=29']
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
18,
42,
36,
42
] | 63 | [
"18*42=756",
"756/36=21",
"42+21=63"
] | Current State: 63:[18, 42, 36, 42], Operations: []
Exploring Operation: 18*42=756, Resulting Numbers: [36, 756]
Generated Node #2: [36, 756] from Operation: 18*42=756
Current State: 63:[36, 756], Operations: ['18*42=756']
Exploring Operation: 756/36=21, Resulting Numbers: [21]
21,63 equal: Goal Reached
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
11,
46,
69,
42
] | 52 | [
"69*42=2898",
"2898/46=63",
"63-11=52"
] | Current State: 52:[11, 46, 69, 42], Operations: []
Exploring Operation: 69*42=2898, Resulting Numbers: [11, 46, 2898]
Generated Node #2: [11, 46, 2898] from Operation: 69*42=2898
Current State: 52:[11, 46, 2898], Operations: ['69*42=2898']
Exploring Operation: 2898/46=63, Resulting Numbers: [11, 63]
Generated Node #3: [11, 63] from Operation: 2898/46=63
Current State: 52:[11, 63], Operations: ['69*42=2898', '2898/46=63']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
59,
31,
42,
47
] | 33 | [
"59-31=28",
"47-42=5",
"28+5=33"
] | Current State: 33:[59, 31, 42, 47], Operations: []
Exploring Operation: 59-31=28, Resulting Numbers: [42, 47, 28]
Generated Node #2: [42, 47, 28] from Operation: 59-31=28
Current State: 33:[42, 47, 28], Operations: ['59-31=28']
Exploring Operation: 47-42=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 47-42=5
Current State: 33:[28, 5], Operations: ['59-31=28', '47-42=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
64,
81,
18,
9
] | 44 | [
"81-64=17",
"18+9=27",
"17+27=44"
] | Current State: 44:[64, 81, 18, 9], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [18, 9, 17]
Generated Node #2: [18, 9, 17] from Operation: 81-64=17
Current State: 44:[18, 9, 17], Operations: ['81-64=17']
Exploring Operation: 18+9=27, Resulting Numbers: [17, 27]
Generated Node #3: [17, 27] from Operation: 18+9=27
Current State: 44:[17, 27], Operations: ['81-64=17', '18+9=27']
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
84,
81,
44,
34
] | 81 | [
"84-81=3",
"44+34=78",
"3+78=81"
] | Current State: 81:[84, 81, 44, 34], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [44, 34, 3]
Generated Node #2: [44, 34, 3] from Operation: 84-81=3
Current State: 81:[44, 34, 3], Operations: ['84-81=3']
Exploring Operation: 44+34=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 44+34=78
Current State: 81:[3, 78], Operations: ['84-81=3', '44+34=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
76,
15,
80,
76
] | 87 | [
"76+15=91",
"80-76=4",
"91-4=87"
] | Current State: 87:[76, 15, 80, 76], Operations: []
Exploring Operation: 76+15=91, Resulting Numbers: [80, 91]
Generated Node #2: [80, 91] from Operation: 76+15=91
Current State: 87:[80, 91], Operations: ['76+15=91']
Exploring Operation: 80-76=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 80-76=4
Current State: 87:[91, 4], Operations: ['76+15=91', '80-76=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
69,
69,
50,
52
] | 52 | [
"69-69=0",
"50*0=0",
"52+0=52"
] | Current State: 52:[69, 69, 50, 52], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [50, 52, 0]
Generated Node #2: [50, 52, 0] from Operation: 69-69=0
Current State: 52:[50, 52, 0], Operations: ['69-69=0']
Exploring Operation: 50*0=0, Resulting Numbers: [52, 0]
Generated Node #3: [52, 0] from Operation: 50*0=0
Current State: 52:[52, 0], Operations: ['69-69=0', '50*0=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
83,
9,
48,
89
] | 63 | [
"83-9=74",
"48+89=137",
"137-74=63"
] | Current State: 63:[83, 9, 48, 89], Operations: []
Exploring Operation: 83-9=74, Resulting Numbers: [48, 89, 74]
Generated Node #2: [48, 89, 74] from Operation: 83-9=74
Current State: 63:[48, 89, 74], Operations: ['83-9=74']
Exploring Operation: 48+89=137, Resulting Numbers: [74, 137]
Generated Node #3: [74, 137] from Operation: 48+89=137
Current State: 63:[74, 137], Operations: ['83-9=74', '48+89=137']
Exploring Operation: 137-74=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
40,
44,
99,
79
] | 94 | [
"40+44=84",
"99+79=178",
"178-84=94"
] | Current State: 94:[40, 44, 99, 79], Operations: []
Exploring Operation: 40+44=84, Resulting Numbers: [99, 79, 84]
Generated Node #2: [99, 79, 84] from Operation: 40+44=84
Current State: 94:[99, 79, 84], Operations: ['40+44=84']
Exploring Operation: 99+79=178, Resulting Numbers: [84, 178]
Generated Node #3: [84, 178] from Operation: 99+79=178
Current State: 94:[84, 178], Operations: ['40+44=84', '99+79=178']
Exploring Operation: 178-84=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
92,
70,
74,
11
] | 10 | [
"92-74=18",
"18-11=7",
"70/7=10"
] | Current State: 10:[92, 70, 74, 11], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [70, 11, 18]
Generated Node #2: [70, 11, 18] from Operation: 92-74=18
Current State: 10:[70, 11, 18], Operations: ['92-74=18']
Exploring Operation: 18-11=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 18-11=7
Current State: 10:[70, 7], Operations: ['92-74=18', '18-11=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
26,
40,
56,
43
] | 27 | [
"40-26=14",
"56-43=13",
"14+13=27"
] | Current State: 27:[26, 40, 56, 43], Operations: []
Exploring Operation: 40-26=14, Resulting Numbers: [56, 43, 14]
Generated Node #2: [56, 43, 14] from Operation: 40-26=14
Current State: 27:[56, 43, 14], Operations: ['40-26=14']
Exploring Operation: 56-43=13, Resulting Numbers: [14, 13]
Generated Node #3: [14, 13] from Operation: 56-43=13
Current State: 27:[14, 13], Operations: ['40-26=14', '56-43=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
30,
22,
14,
1
] | 98 | [
"30-22=8",
"8-1=7",
"14*7=98"
] | Current State: 98:[30, 22, 14, 1], Operations: []
Exploring Operation: 30-22=8, Resulting Numbers: [14, 1, 8]
Generated Node #2: [14, 1, 8] from Operation: 30-22=8
Current State: 98:[14, 1, 8], Operations: ['30-22=8']
Exploring Operation: 8-1=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 8-1=7
Current State: 98:[14, 7], Operations: ['30-22=8', '8-1=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
2,
97,
5,
66
] | 20 | [
"97-5=92",
"92/2=46",
"66-46=20"
] | Current State: 20:[2, 97, 5, 66], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [2, 66, 92]
Generated Node #2: [2, 66, 92] from Operation: 97-5=92
Current State: 20:[2, 66, 92], Operations: ['97-5=92']
Exploring Operation: 92/2=46, Resulting Numbers: [66, 46]
Generated Node #3: [66, 46] from Operation: 92/2=46
Current State: 20:[66, 46], Operations: ['97-5=92', '92/2=46']
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
28,
50,
6,
24
] | 22 | [
"50+6=56",
"56/28=2",
"24-2=22"
] | Current State: 22:[28, 50, 6, 24], Operations: []
Exploring Operation: 50+6=56, Resulting Numbers: [28, 24, 56]
Generated Node #2: [28, 24, 56] from Operation: 50+6=56
Current State: 22:[28, 24, 56], Operations: ['50+6=56']
Exploring Operation: 56/28=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 56/28=2
Current State: 22:[24, 2], Operations: ['50+6=56', '56/28=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
6,
90,
3,
24
] | 89 | [
"24/6=4",
"90+3=93",
"93-4=89"
] | Current State: 89:[6, 90, 3, 24], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [90, 3, 4]
Generated Node #2: [90, 3, 4] from Operation: 24/6=4
Current State: 89:[90, 3, 4], Operations: ['24/6=4']
Exploring Operation: 90+3=93, Resulting Numbers: [4, 93]
Generated Node #3: [4, 93] from Operation: 90+3=93
Current State: 89:[4, 93], Operations: ['24/6=4', '90+3=93']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
14,
38,
73,
26
] | 75 | [
"14+38=52",
"52/26=2",
"73+2=75"
] | Current State: 75:[14, 38, 73, 26], Operations: []
Exploring Operation: 14+38=52, Resulting Numbers: [73, 26, 52]
Generated Node #2: [73, 26, 52] from Operation: 14+38=52
Current State: 75:[73, 26, 52], Operations: ['14+38=52']
Exploring Operation: 52/26=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 52/26=2
Current State: 75:[73, 2], Operations: ['14+38=52', '52/26=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
49,
32,
80,
65
] | 65 | [
"49+32=81",
"81-80=1",
"65*1=65"
] | Current State: 65:[49, 32, 80, 65], Operations: []
Exploring Operation: 49+32=81, Resulting Numbers: [80, 65, 81]
Generated Node #2: [80, 65, 81] from Operation: 49+32=81
Current State: 65:[80, 65, 81], Operations: ['49+32=81']
Exploring Operation: 81-80=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 81-80=1
Current State: 65:[65, 1], Operations: ['49+32=81', '81-80=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
55,
57,
95,
46
] | 79 | [
"55*57=3135",
"3135/95=33",
"46+33=79"
] | Current State: 79:[55, 57, 95, 46], Operations: []
Exploring Operation: 55*57=3135, Resulting Numbers: [95, 46, 3135]
Generated Node #2: [95, 46, 3135] from Operation: 55*57=3135
Current State: 79:[95, 46, 3135], Operations: ['55*57=3135']
Exploring Operation: 3135/95=33, Resulting Numbers: [46, 33]
Generated Node #3: [46, 33] from Operation: 3135/95=33
Current State: 79:[46, 33], Operations: ['55*57=3135', '3135/95=33']
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
76,
4,
34,
11
] | 16 | [
"34-11=23",
"4*23=92",
"92-76=16"
] | Current State: 16:[76, 4, 34, 11], Operations: []
Exploring Operation: 34-11=23, Resulting Numbers: [76, 4, 23]
Generated Node #2: [76, 4, 23] from Operation: 34-11=23
Current State: 16:[76, 4, 23], Operations: ['34-11=23']
Exploring Operation: 4*23=92, Resulting Numbers: [76, 92]
Generated Node #3: [76, 92] from Operation: 4*23=92
Current State: 16:[76, 92], Operations: ['34-11=23', '4*23=92']
Exploring Operation: 92-76=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
30,
50,
1,
58
] | 95 | [
"58-1=57",
"50*57=2850",
"2850/30=95"
] | Current State: 95:[30, 50, 1, 58], Operations: []
Exploring Operation: 58-1=57, Resulting Numbers: [30, 50, 57]
Generated Node #2: [30, 50, 57] from Operation: 58-1=57
Current State: 95:[30, 50, 57], Operations: ['58-1=57']
Exploring Operation: 50*57=2850, Resulting Numbers: [30, 2850]
Generated Node #3: [30, 2850] from Operation: 50*57=2850
Current State: 95:[30, 2850], Operations: ['58-1=57', '50*57=2850']
Exploring Operation: 2850/30=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
4,
83,
27
] | 19 | [
"6+83=89",
"4*27=108",
"108-89=19"
] | Current State: 19:[6, 4, 83, 27], Operations: []
Exploring Operation: 6+83=89, Resulting Numbers: [4, 27, 89]
Generated Node #2: [4, 27, 89] from Operation: 6+83=89
Current State: 19:[4, 27, 89], Operations: ['6+83=89']
Exploring Operation: 4*27=108, Resulting Numbers: [89, 108]
Generated Node #3: [89, 108] from Operation: 4*27=108
Current State: 19:[89, 108], Operations: ['6+83=89', '4*27=108']
Exploring Operation: 108-89=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
37,
3,
88,
74
] | 47 | [
"37*88=3256",
"3256/74=44",
"3+44=47"
] | Current State: 47:[37, 3, 88, 74], Operations: []
Exploring Operation: 37*88=3256, Resulting Numbers: [3, 74, 3256]
Generated Node #2: [3, 74, 3256] from Operation: 37*88=3256
Current State: 47:[3, 74, 3256], Operations: ['37*88=3256']
Exploring Operation: 3256/74=44, Resulting Numbers: [3, 44]
Generated Node #3: [3, 44] from Operation: 3256/74=44
Current State: 47:[3, 44], Operations: ['37*88=3256', '3256/74=44']
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
47,
17,
55,
36
] | 45 | [
"47+17=64",
"55-36=19",
"64-19=45"
] | Current State: 45:[47, 17, 55, 36], Operations: []
Exploring Operation: 47+17=64, Resulting Numbers: [55, 36, 64]
Generated Node #2: [55, 36, 64] from Operation: 47+17=64
Current State: 45:[55, 36, 64], Operations: ['47+17=64']
Exploring Operation: 55-36=19, Resulting Numbers: [64, 19]
Generated Node #3: [64, 19] from Operation: 55-36=19
Current State: 45:[64, 19], Operations: ['47+17=64', '55-36=19']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
32,
73,
12,
52
] | 71 | [
"12+52=64",
"64/32=2",
"73-2=71"
] | Current State: 71:[32, 73, 12, 52], Operations: []
Exploring Operation: 12+52=64, Resulting Numbers: [32, 73, 64]
Generated Node #2: [32, 73, 64] from Operation: 12+52=64
Current State: 71:[32, 73, 64], Operations: ['12+52=64']
Exploring Operation: 64/32=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 64/32=2
Current State: 71:[73, 2], Operations: ['12+52=64', '64/32=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
53,
31,
77,
9
] | 46 | [
"53-31=22",
"77-9=68",
"68-22=46"
] | Current State: 46:[53, 31, 77, 9], Operations: []
Exploring Operation: 53-31=22, Resulting Numbers: [77, 9, 22]
Generated Node #2: [77, 9, 22] from Operation: 53-31=22
Current State: 46:[77, 9, 22], Operations: ['53-31=22']
Exploring Operation: 77-9=68, Resulting Numbers: [22, 68]
Generated Node #3: [22, 68] from Operation: 77-9=68
Current State: 46:[22, 68], Operations: ['53-31=22', '77-9=68']
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
82,
5,
65,
82
] | 94 | [
"82-5=77",
"82-65=17",
"77+17=94"
] | Current State: 94:[82, 5, 65, 82], Operations: []
Exploring Operation: 82-5=77, Resulting Numbers: [65, 77]
Generated Node #2: [65, 77] from Operation: 82-5=77
Current State: 94:[65, 77], Operations: ['82-5=77']
Exploring Operation: 82-65=17, Resulting Numbers: [77, 17]
Generated Node #3: [77, 17] from Operation: 82-65=17
Current State: 94:[77, 17], Operations: ['82-5=77', '82-65=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
58,
22,
9,
66
] | 93 | [
"58-22=36",
"66-9=57",
"36+57=93"
] | Current State: 93:[58, 22, 9, 66], Operations: []
Exploring Operation: 58-22=36, Resulting Numbers: [9, 66, 36]
Generated Node #2: [9, 66, 36] from Operation: 58-22=36
Current State: 93:[9, 66, 36], Operations: ['58-22=36']
Exploring Operation: 66-9=57, Resulting Numbers: [36, 57]
Generated Node #3: [36, 57] from Operation: 66-9=57
Current State: 93:[36, 57], Operations: ['58-22=36', '66-9=57']
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
31,
10,
7,
40
] | 97 | [
"40-31=9",
"10*9=90",
"7+90=97"
] | Current State: 97:[31, 10, 7, 40], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [10, 7, 9]
Generated Node #2: [10, 7, 9] from Operation: 40-31=9
Current State: 97:[10, 7, 9], Operations: ['40-31=9']
Exploring Operation: 10*9=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 10*9=90
Current State: 97:[7, 90], Operations: ['40-31=9', '10*9=90']
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
25,
6,
84,
7
] | 85 | [
"25*7=175",
"6+84=90",
"175-90=85"
] | Current State: 85:[25, 6, 84, 7], Operations: []
Exploring Operation: 25*7=175, Resulting Numbers: [6, 84, 175]
Generated Node #2: [6, 84, 175] from Operation: 25*7=175
Current State: 85:[6, 84, 175], Operations: ['25*7=175']
Exploring Operation: 6+84=90, Resulting Numbers: [175, 90]
Generated Node #3: [175, 90] from Operation: 6+84=90
Current State: 85:[175, 90], Operations: ['25*7=175', '6+84=90']
Exploring Operation: 175-90=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
14,
4,
5,
4
] | 46 | [
"14-4=10",
"5*10=50",
"50-4=46"
] | Current State: 46:[14, 4, 5, 4], Operations: []
Exploring Operation: 14-4=10, Resulting Numbers: [5, 10]
Generated Node #2: [5, 10] from Operation: 14-4=10
Current State: 46:[5, 10], Operations: ['14-4=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,46 equal: Goal Reached
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
5,
66,
79,
73
] | 81 | [
"5+66=71",
"79+73=152",
"152-71=81"
] | Current State: 81:[5, 66, 79, 73], Operations: []
Exploring Operation: 5+66=71, Resulting Numbers: [79, 73, 71]
Generated Node #2: [79, 73, 71] from Operation: 5+66=71
Current State: 81:[79, 73, 71], Operations: ['5+66=71']
Exploring Operation: 79+73=152, Resulting Numbers: [71, 152]
Generated Node #3: [71, 152] from Operation: 79+73=152
Current State: 81:[71, 152], Operations: ['5+66=71', '79+73=152']
Exploring Operation: 152-71=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
82,
96,
48,
84
] | 42 | [
"96-82=14",
"84/14=6",
"48-6=42"
] | Current State: 42:[82, 96, 48, 84], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [48, 84, 14]
Generated Node #2: [48, 84, 14] from Operation: 96-82=14
Current State: 42:[48, 84, 14], Operations: ['96-82=14']
Exploring Operation: 84/14=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 84/14=6
Current State: 42:[48, 6], Operations: ['96-82=14', '84/14=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
45,
40,
43,
57
] | 77 | [
"45-43=2",
"40/2=20",
"57+20=77"
] | Current State: 77:[45, 40, 43, 57], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [40, 57, 2]
Generated Node #2: [40, 57, 2] from Operation: 45-43=2
Current State: 77:[40, 57, 2], Operations: ['45-43=2']
Exploring Operation: 40/2=20, Resulting Numbers: [57, 20]
Generated Node #3: [57, 20] from Operation: 40/2=20
Current State: 77:[57, 20], Operations: ['45-43=2', '40/2=20']
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
26,
68,
43,
17
] | 17 | [
"68-26=42",
"43-42=1",
"17*1=17"
] | Current State: 17:[26, 68, 43, 17], Operations: []
Exploring Operation: 68-26=42, Resulting Numbers: [43, 17, 42]
Generated Node #2: [43, 17, 42] from Operation: 68-26=42
Current State: 17:[43, 17, 42], Operations: ['68-26=42']
Exploring Operation: 43-42=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 43-42=1
Current State: 17:[17, 1], Operations: ['68-26=42', '43-42=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
60,
69,
39,
18
] | 16 | [
"69-39=30",
"60/30=2",
"18-2=16"
] | Current State: 16:[60, 69, 39, 18], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [60, 18, 30]
Generated Node #2: [60, 18, 30] from Operation: 69-39=30
Current State: 16:[60, 18, 30], Operations: ['69-39=30']
Exploring Operation: 60/30=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 60/30=2
Current State: 16:[18, 2], Operations: ['69-39=30', '60/30=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
68,
8,
95,
94
] | 75 | [
"68+8=76",
"95-94=1",
"76-1=75"
] | Current State: 75:[68, 8, 95, 94], Operations: []
Exploring Operation: 68+8=76, Resulting Numbers: [95, 94, 76]
Generated Node #2: [95, 94, 76] from Operation: 68+8=76
Current State: 75:[95, 94, 76], Operations: ['68+8=76']
Exploring Operation: 95-94=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 95-94=1
Current State: 75:[76, 1], Operations: ['68+8=76', '95-94=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
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