nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
60,
32,
47,
36
] | 50 | [
"60+36=96",
"96/32=3",
"47+3=50"
] | Current State: 50:[60, 32, 47, 36], Operations: []
Exploring Operation: 60+36=96, Resulting Numbers: [32, 47, 96]
Generated Node #2: [32, 47, 96] from Operation: 60+36=96
Current State: 50:[32, 47, 96], Operations: ['60+36=96']
Exploring Operation: 96/32=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 96/32=3
Current State: 50:[47, 3], Operations: ['60+36=96', '96/32=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
18,
17,
36,
97
] | 60 | [
"18-17=1",
"97-36=61",
"61-1=60"
] | Current State: 60:[18, 17, 36, 97], Operations: []
Exploring Operation: 18-17=1, Resulting Numbers: [36, 97, 1]
Generated Node #2: [36, 97, 1] from Operation: 18-17=1
Current State: 60:[36, 97, 1], Operations: ['18-17=1']
Exploring Operation: 97-36=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 97-36=61
Current State: 60:[1, 61], Operations: ['18-17=1', '97-36=61']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
23,
5,
40,
77
] | 20 | [
"23+77=100",
"100/5=20",
"40-20=20"
] | Current State: 20:[23, 5, 40, 77], Operations: []
Exploring Operation: 23+77=100, Resulting Numbers: [5, 40, 100]
Generated Node #2: [5, 40, 100] from Operation: 23+77=100
Current State: 20:[5, 40, 100], Operations: ['23+77=100']
Exploring Operation: 100/5=20, Resulting Numbers: [40, 20]
Generated Node #3: [40, 20] from Operation: 100/5=20
Current State: 20:[40, 20], Operations: ['23+77=100', '100/5=20']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
3,
24,
10,
98
] | 67 | [
"24-3=21",
"98-10=88",
"88-21=67"
] | Current State: 67:[3, 24, 10, 98], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [10, 98, 21]
Generated Node #2: [10, 98, 21] from Operation: 24-3=21
Current State: 67:[10, 98, 21], Operations: ['24-3=21']
Exploring Operation: 98-10=88, Resulting Numbers: [21, 88]
Generated Node #3: [21, 88] from Operation: 98-10=88
Current State: 67:[21, 88], Operations: ['24-3=21', '98-10=88']
Exploring Operation: 88-21=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
92,
87,
51,
76
] | 13 | [
"92+51=143",
"87-76=11",
"143/11=13"
] | Current State: 13:[92, 87, 51, 76], Operations: []
Exploring Operation: 92+51=143, Resulting Numbers: [87, 76, 143]
Generated Node #2: [87, 76, 143] from Operation: 92+51=143
Current State: 13:[87, 76, 143], Operations: ['92+51=143']
Exploring Operation: 87-76=11, Resulting Numbers: [143, 11]
Generated Node #3: [143, 11] from Operation: 87-76=11
Current State: 13:[143, 11], Operations: ['92+51=143', '87-76=11']
Exploring Operation: 143/11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
52,
6,
2,
31
] | 61 | [
"52-6=46",
"2*46=92",
"92-31=61"
] | Current State: 61:[52, 6, 2, 31], Operations: []
Exploring Operation: 52-6=46, Resulting Numbers: [2, 31, 46]
Generated Node #2: [2, 31, 46] from Operation: 52-6=46
Current State: 61:[2, 31, 46], Operations: ['52-6=46']
Exploring Operation: 2*46=92, Resulting Numbers: [31, 92]
Generated Node #3: [31, 92] from Operation: 2*46=92
Current State: 61:[31, 92], Operations: ['52-6=46', '2*46=92']
Exploring Operation: 92-31=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
49,
18,
62,
44
] | 50 | [
"62-18=44",
"44/44=1",
"49+1=50"
] | Current State: 50:[49, 18, 62, 44], Operations: []
Exploring Operation: 62-18=44, Resulting Numbers: [49, 44, 44]
Generated Node #2: [49, 44, 44] from Operation: 62-18=44
Current State: 50:[49, 44, 44], Operations: ['62-18=44']
Exploring Operation: 44/44=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 44/44=1
Current State: 50:[49, 1], Operations: ['62-18=44', '44/44=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
65,
18,
16,
29
] | 60 | [
"65-18=47",
"29-16=13",
"47+13=60"
] | Current State: 60:[65, 18, 16, 29], Operations: []
Exploring Operation: 65-18=47, Resulting Numbers: [16, 29, 47]
Generated Node #2: [16, 29, 47] from Operation: 65-18=47
Current State: 60:[16, 29, 47], Operations: ['65-18=47']
Exploring Operation: 29-16=13, Resulting Numbers: [47, 13]
Generated Node #3: [47, 13] from Operation: 29-16=13
Current State: 60:[47, 13], Operations: ['65-18=47', '29-16=13']
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
4,
65,
69,
28
] | 28 | [
"4+65=69",
"69+28=97",
"97-69=28"
] | Current State: 28:[4, 65, 69, 28], Operations: []
Exploring Operation: 4+65=69, Resulting Numbers: [69, 28, 69]
Generated Node #2: [69, 28, 69] from Operation: 4+65=69
Current State: 28:[69, 28, 69], Operations: ['4+65=69']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,28 equal: Goal Reached
Exploring Operation: 97-69=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
30,
8,
74,
2
] | 75 | [
"30+8=38",
"74/2=37",
"38+37=75"
] | Current State: 75:[30, 8, 74, 2], Operations: []
Exploring Operation: 30+8=38, Resulting Numbers: [74, 2, 38]
Generated Node #2: [74, 2, 38] from Operation: 30+8=38
Current State: 75:[74, 2, 38], Operations: ['30+8=38']
Exploring Operation: 74/2=37, Resulting Numbers: [38, 37]
Generated Node #3: [38, 37] from Operation: 74/2=37
Current State: 75:[38, 37], Operations: ['30+8=38', '74/2=37']
Exploring Operation: 38+37=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
17,
25,
8,
69
] | 31 | [
"8*69=552",
"552-25=527",
"527/17=31"
] | Current State: 31:[17, 25, 8, 69], Operations: []
Exploring Operation: 8*69=552, Resulting Numbers: [17, 25, 552]
Generated Node #2: [17, 25, 552] from Operation: 8*69=552
Current State: 31:[17, 25, 552], Operations: ['8*69=552']
Exploring Operation: 552-25=527, Resulting Numbers: [17, 527]
Generated Node #3: [17, 527] from Operation: 552-25=527
Current State: 31:[17, 527], Operations: ['8*69=552', '552-25=527']
Exploring Operation: 527/17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
35,
19,
20
] | 24 | [
"35-10=25",
"20-19=1",
"25-1=24"
] | Current State: 24:[10, 35, 19, 20], Operations: []
Exploring Operation: 35-10=25, Resulting Numbers: [19, 20, 25]
Generated Node #2: [19, 20, 25] from Operation: 35-10=25
Current State: 24:[19, 20, 25], Operations: ['35-10=25']
Exploring Operation: 20-19=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 20-19=1
Current State: 24:[25, 1], Operations: ['35-10=25', '20-19=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
34,
62,
74,
2
] | 40 | [
"74-62=12",
"12/2=6",
"34+6=40"
] | Current State: 40:[34, 62, 74, 2], Operations: []
Exploring Operation: 74-62=12, Resulting Numbers: [34, 2, 12]
Generated Node #2: [34, 2, 12] from Operation: 74-62=12
Current State: 40:[34, 2, 12], Operations: ['74-62=12']
Exploring Operation: 12/2=6, Resulting Numbers: [34, 6]
Generated Node #3: [34, 6] from Operation: 12/2=6
Current State: 40:[34, 6], Operations: ['74-62=12', '12/2=6']
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
13,
24,
72,
52
] | 13 | [
"13*72=936",
"936/24=39",
"52-39=13"
] | Current State: 13:[13, 24, 72, 52], Operations: []
Exploring Operation: 13*72=936, Resulting Numbers: [24, 52, 936]
Generated Node #2: [24, 52, 936] from Operation: 13*72=936
Current State: 13:[24, 52, 936], Operations: ['13*72=936']
Exploring Operation: 936/24=39, Resulting Numbers: [52, 39]
Generated Node #3: [52, 39] from Operation: 936/24=39
Current State: 13:[52, 39], Operations: ['13*72=936', '936/24=39']
Exploring Operation: 52-39=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
45,
37,
15,
75
] | 77 | [
"45+37=82",
"75/15=5",
"82-5=77"
] | Current State: 77:[45, 37, 15, 75], Operations: []
Exploring Operation: 45+37=82, Resulting Numbers: [15, 75, 82]
Generated Node #2: [15, 75, 82] from Operation: 45+37=82
Current State: 77:[15, 75, 82], Operations: ['45+37=82']
Exploring Operation: 75/15=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 75/15=5
Current State: 77:[82, 5], Operations: ['45+37=82', '75/15=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
93,
97,
75,
11
] | 82 | [
"97-93=4",
"75+11=86",
"86-4=82"
] | Current State: 82:[93, 97, 75, 11], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [75, 11, 4]
Generated Node #2: [75, 11, 4] from Operation: 97-93=4
Current State: 82:[75, 11, 4], Operations: ['97-93=4']
Exploring Operation: 75+11=86, Resulting Numbers: [4, 86]
Generated Node #3: [4, 86] from Operation: 75+11=86
Current State: 82:[4, 86], Operations: ['97-93=4', '75+11=86']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
8,
10,
5,
60
] | 25 | [
"8*10=80",
"60-5=55",
"80-55=25"
] | Current State: 25:[8, 10, 5, 60], Operations: []
Exploring Operation: 8*10=80, Resulting Numbers: [5, 60, 80]
Generated Node #2: [5, 60, 80] from Operation: 8*10=80
Current State: 25:[5, 60, 80], Operations: ['8*10=80']
Exploring Operation: 60-5=55, Resulting Numbers: [80, 55]
Generated Node #3: [80, 55] from Operation: 60-5=55
Current State: 25:[80, 55], Operations: ['8*10=80', '60-5=55']
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
4,
11,
84,
38
] | 31 | [
"4+11=15",
"84-38=46",
"46-15=31"
] | Current State: 31:[4, 11, 84, 38], Operations: []
Exploring Operation: 4+11=15, Resulting Numbers: [84, 38, 15]
Generated Node #2: [84, 38, 15] from Operation: 4+11=15
Current State: 31:[84, 38, 15], Operations: ['4+11=15']
Exploring Operation: 84-38=46, Resulting Numbers: [15, 46]
Generated Node #3: [15, 46] from Operation: 84-38=46
Current State: 31:[15, 46], Operations: ['4+11=15', '84-38=46']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
89,
8,
10,
8
] | 85 | [
"10-8=2",
"8/2=4",
"89-4=85"
] | Current State: 85:[89, 8, 10, 8], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [89, 2]
Generated Node #2: [89, 2] from Operation: 10-8=2
Current State: 85:[89, 2], Operations: ['10-8=2']
Exploring Operation: 8/2=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 8/2=4
Current State: 85:[89, 4], Operations: ['10-8=2', '8/2=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
45,
39,
3,
80
] | 52 | [
"45+39=84",
"84/3=28",
"80-28=52"
] | Current State: 52:[45, 39, 3, 80], Operations: []
Exploring Operation: 45+39=84, Resulting Numbers: [3, 80, 84]
Generated Node #2: [3, 80, 84] from Operation: 45+39=84
Current State: 52:[3, 80, 84], Operations: ['45+39=84']
Exploring Operation: 84/3=28, Resulting Numbers: [80, 28]
Generated Node #3: [80, 28] from Operation: 84/3=28
Current State: 52:[80, 28], Operations: ['45+39=84', '84/3=28']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
96,
85,
13,
39
] | 41 | [
"96-85=11",
"13+39=52",
"52-11=41"
] | Current State: 41:[96, 85, 13, 39], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [13, 39, 11]
Generated Node #2: [13, 39, 11] from Operation: 96-85=11
Current State: 41:[13, 39, 11], Operations: ['96-85=11']
Exploring Operation: 13+39=52, Resulting Numbers: [11, 52]
Generated Node #3: [11, 52] from Operation: 13+39=52
Current State: 41:[11, 52], Operations: ['96-85=11', '13+39=52']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
3,
74,
34,
37
] | 83 | [
"74-34=40",
"3*40=120",
"120-37=83"
] | Current State: 83:[3, 74, 34, 37], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [3, 37, 40]
Generated Node #2: [3, 37, 40] from Operation: 74-34=40
Current State: 83:[3, 37, 40], Operations: ['74-34=40']
Exploring Operation: 3*40=120, Resulting Numbers: [37, 120]
Generated Node #3: [37, 120] from Operation: 3*40=120
Current State: 83:[37, 120], Operations: ['74-34=40', '3*40=120']
Exploring Operation: 120-37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
19,
79,
92,
51
] | 57 | [
"19+79=98",
"92-51=41",
"98-41=57"
] | Current State: 57:[19, 79, 92, 51], Operations: []
Exploring Operation: 19+79=98, Resulting Numbers: [92, 51, 98]
Generated Node #2: [92, 51, 98] from Operation: 19+79=98
Current State: 57:[92, 51, 98], Operations: ['19+79=98']
Exploring Operation: 92-51=41, Resulting Numbers: [98, 41]
Generated Node #3: [98, 41] from Operation: 92-51=41
Current State: 57:[98, 41], Operations: ['19+79=98', '92-51=41']
Exploring Operation: 98-41=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
33,
99,
3,
71
] | 49 | [
"99-33=66",
"66/3=22",
"71-22=49"
] | Current State: 49:[33, 99, 3, 71], Operations: []
Exploring Operation: 99-33=66, Resulting Numbers: [3, 71, 66]
Generated Node #2: [3, 71, 66] from Operation: 99-33=66
Current State: 49:[3, 71, 66], Operations: ['99-33=66']
Exploring Operation: 66/3=22, Resulting Numbers: [71, 22]
Generated Node #3: [71, 22] from Operation: 66/3=22
Current State: 49:[71, 22], Operations: ['99-33=66', '66/3=22']
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
56,
11,
80
] | 20 | [
"56/8=7",
"11-7=4",
"80/4=20"
] | Current State: 20:[8, 56, 11, 80], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [11, 80, 7]
Generated Node #2: [11, 80, 7] from Operation: 56/8=7
Current State: 20:[11, 80, 7], Operations: ['56/8=7']
Exploring Operation: 11-7=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 11-7=4
Current State: 20:[80, 4], Operations: ['56/8=7', '11-7=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
36,
43,
93,
69
] | 23 | [
"36+93=129",
"43*69=2967",
"2967/129=23"
] | Current State: 23:[36, 43, 93, 69], Operations: []
Exploring Operation: 36+93=129, Resulting Numbers: [43, 69, 129]
Generated Node #2: [43, 69, 129] from Operation: 36+93=129
Current State: 23:[43, 69, 129], Operations: ['36+93=129']
Exploring Operation: 43*69=2967, Resulting Numbers: [129, 2967]
Generated Node #3: [129, 2967] from Operation: 43*69=2967
Current State: 23:[129, 2967], Operations: ['36+93=129', '43*69=2967']
Exploring Operation: 2967/129=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
3,
62,
75
] | 70 | [
"75-3=72",
"72/9=8",
"62+8=70"
] | Current State: 70:[9, 3, 62, 75], Operations: []
Exploring Operation: 75-3=72, Resulting Numbers: [9, 62, 72]
Generated Node #2: [9, 62, 72] from Operation: 75-3=72
Current State: 70:[9, 62, 72], Operations: ['75-3=72']
Exploring Operation: 72/9=8, Resulting Numbers: [62, 8]
Generated Node #3: [62, 8] from Operation: 72/9=8
Current State: 70:[62, 8], Operations: ['75-3=72', '72/9=8']
Exploring Operation: 62+8=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
18,
34,
52,
79
] | 52 | [
"34*79=2686",
"18+2686=2704",
"2704/52=52"
] | Current State: 52:[18, 34, 52, 79], Operations: []
Exploring Operation: 34*79=2686, Resulting Numbers: [18, 52, 2686]
Generated Node #2: [18, 52, 2686] from Operation: 34*79=2686
Current State: 52:[18, 52, 2686], Operations: ['34*79=2686']
Exploring Operation: 18+2686=2704, Resulting Numbers: [52, 2704]
Generated Node #3: [52, 2704] from Operation: 18+2686=2704
Current State: 52:[52, 2704], Operations: ['34*79=2686', '18+2686=2704']
Exploring Operation: 2704/52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
37,
14,
34,
18
] | 29 | [
"37-14=23",
"34+18=52",
"52-23=29"
] | Current State: 29:[37, 14, 34, 18], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [34, 18, 23]
Generated Node #2: [34, 18, 23] from Operation: 37-14=23
Current State: 29:[34, 18, 23], Operations: ['37-14=23']
Exploring Operation: 34+18=52, Resulting Numbers: [23, 52]
Generated Node #3: [23, 52] from Operation: 34+18=52
Current State: 29:[23, 52], Operations: ['37-14=23', '34+18=52']
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
56,
36,
76,
75
] | 91 | [
"56+36=92",
"76-75=1",
"92-1=91"
] | Current State: 91:[56, 36, 76, 75], Operations: []
Exploring Operation: 56+36=92, Resulting Numbers: [76, 75, 92]
Generated Node #2: [76, 75, 92] from Operation: 56+36=92
Current State: 91:[76, 75, 92], Operations: ['56+36=92']
Exploring Operation: 76-75=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 76-75=1
Current State: 91:[92, 1], Operations: ['56+36=92', '76-75=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
80,
59,
3,
40
] | 59 | [
"80/40=2",
"3-2=1",
"59*1=59"
] | Current State: 59:[80, 59, 3, 40], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [59, 3, 2]
Generated Node #2: [59, 3, 2] from Operation: 80/40=2
Current State: 59:[59, 3, 2], Operations: ['80/40=2']
Exploring Operation: 3-2=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 3-2=1
Current State: 59:[59, 1], Operations: ['80/40=2', '3-2=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
34,
39,
30,
79
] | 71 | [
"39-34=5",
"30*5=150",
"150-79=71"
] | Current State: 71:[34, 39, 30, 79], Operations: []
Exploring Operation: 39-34=5, Resulting Numbers: [30, 79, 5]
Generated Node #2: [30, 79, 5] from Operation: 39-34=5
Current State: 71:[30, 79, 5], Operations: ['39-34=5']
Exploring Operation: 30*5=150, Resulting Numbers: [79, 150]
Generated Node #3: [79, 150] from Operation: 30*5=150
Current State: 71:[79, 150], Operations: ['39-34=5', '30*5=150']
Exploring Operation: 150-79=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
93,
75,
54,
78
] | 42 | [
"93-75=18",
"78-54=24",
"18+24=42"
] | Current State: 42:[93, 75, 54, 78], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [54, 78, 18]
Generated Node #2: [54, 78, 18] from Operation: 93-75=18
Current State: 42:[54, 78, 18], Operations: ['93-75=18']
Exploring Operation: 78-54=24, Resulting Numbers: [18, 24]
Generated Node #3: [18, 24] from Operation: 78-54=24
Current State: 42:[18, 24], Operations: ['93-75=18', '78-54=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
10,
11,
3,
39
] | 97 | [
"10*11=110",
"39/3=13",
"110-13=97"
] | Current State: 97:[10, 11, 3, 39], Operations: []
Exploring Operation: 10*11=110, Resulting Numbers: [3, 39, 110]
Generated Node #2: [3, 39, 110] from Operation: 10*11=110
Current State: 97:[3, 39, 110], Operations: ['10*11=110']
Exploring Operation: 39/3=13, Resulting Numbers: [110, 13]
Generated Node #3: [110, 13] from Operation: 39/3=13
Current State: 97:[110, 13], Operations: ['10*11=110', '39/3=13']
Exploring Operation: 110-13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
2,
78,
23,
12
] | 44 | [
"2*23=46",
"78+12=90",
"90-46=44"
] | Current State: 44:[2, 78, 23, 12], Operations: []
Exploring Operation: 2*23=46, Resulting Numbers: [78, 12, 46]
Generated Node #2: [78, 12, 46] from Operation: 2*23=46
Current State: 44:[78, 12, 46], Operations: ['2*23=46']
Exploring Operation: 78+12=90, Resulting Numbers: [46, 90]
Generated Node #3: [46, 90] from Operation: 78+12=90
Current State: 44:[46, 90], Operations: ['2*23=46', '78+12=90']
Exploring Operation: 90-46=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
5,
59,
33
] | 85 | [
"2+5=7",
"59+33=92",
"92-7=85"
] | Current State: 85:[2, 5, 59, 33], Operations: []
Exploring Operation: 2+5=7, Resulting Numbers: [59, 33, 7]
Generated Node #2: [59, 33, 7] from Operation: 2+5=7
Current State: 85:[59, 33, 7], Operations: ['2+5=7']
Exploring Operation: 59+33=92, Resulting Numbers: [7, 92]
Generated Node #3: [7, 92] from Operation: 59+33=92
Current State: 85:[7, 92], Operations: ['2+5=7', '59+33=92']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
51,
72,
46,
2
] | 34 | [
"46+2=48",
"51*48=2448",
"2448/72=34"
] | Current State: 34:[51, 72, 46, 2], Operations: []
Exploring Operation: 46+2=48, Resulting Numbers: [51, 72, 48]
Generated Node #2: [51, 72, 48] from Operation: 46+2=48
Current State: 34:[51, 72, 48], Operations: ['46+2=48']
Exploring Operation: 51*48=2448, Resulting Numbers: [72, 2448]
Generated Node #3: [72, 2448] from Operation: 51*48=2448
Current State: 34:[72, 2448], Operations: ['46+2=48', '51*48=2448']
Exploring Operation: 2448/72=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
26,
39,
96,
42
] | 45 | [
"42-26=16",
"96/16=6",
"39+6=45"
] | Current State: 45:[26, 39, 96, 42], Operations: []
Exploring Operation: 42-26=16, Resulting Numbers: [39, 96, 16]
Generated Node #2: [39, 96, 16] from Operation: 42-26=16
Current State: 45:[39, 96, 16], Operations: ['42-26=16']
Exploring Operation: 96/16=6, Resulting Numbers: [39, 6]
Generated Node #3: [39, 6] from Operation: 96/16=6
Current State: 45:[39, 6], Operations: ['42-26=16', '96/16=6']
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
36,
90,
16
] | 67 | [
"3+36=39",
"90+16=106",
"106-39=67"
] | Current State: 67:[3, 36, 90, 16], Operations: []
Exploring Operation: 3+36=39, Resulting Numbers: [90, 16, 39]
Generated Node #2: [90, 16, 39] from Operation: 3+36=39
Current State: 67:[90, 16, 39], Operations: ['3+36=39']
Exploring Operation: 90+16=106, Resulting Numbers: [39, 106]
Generated Node #3: [39, 106] from Operation: 90+16=106
Current State: 67:[39, 106], Operations: ['3+36=39', '90+16=106']
Exploring Operation: 106-39=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
37,
66,
11,
22
] | 39 | [
"11+22=33",
"66/33=2",
"37+2=39"
] | Current State: 39:[37, 66, 11, 22], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [37, 66, 33]
Generated Node #2: [37, 66, 33] from Operation: 11+22=33
Current State: 39:[37, 66, 33], Operations: ['11+22=33']
Exploring Operation: 66/33=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 66/33=2
Current State: 39:[37, 2], Operations: ['11+22=33', '66/33=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
98,
38,
53,
90
] | 97 | [
"98-38=60",
"90-53=37",
"60+37=97"
] | Current State: 97:[98, 38, 53, 90], Operations: []
Exploring Operation: 98-38=60, Resulting Numbers: [53, 90, 60]
Generated Node #2: [53, 90, 60] from Operation: 98-38=60
Current State: 97:[53, 90, 60], Operations: ['98-38=60']
Exploring Operation: 90-53=37, Resulting Numbers: [60, 37]
Generated Node #3: [60, 37] from Operation: 90-53=37
Current State: 97:[60, 37], Operations: ['98-38=60', '90-53=37']
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
29,
53,
10,
21
] | 51 | [
"29+53=82",
"10+21=31",
"82-31=51"
] | Current State: 51:[29, 53, 10, 21], Operations: []
Exploring Operation: 29+53=82, Resulting Numbers: [10, 21, 82]
Generated Node #2: [10, 21, 82] from Operation: 29+53=82
Current State: 51:[10, 21, 82], Operations: ['29+53=82']
Exploring Operation: 10+21=31, Resulting Numbers: [82, 31]
Generated Node #3: [82, 31] from Operation: 10+21=31
Current State: 51:[82, 31], Operations: ['29+53=82', '10+21=31']
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
75,
24,
50,
32
] | 69 | [
"75-24=51",
"50-32=18",
"51+18=69"
] | Current State: 69:[75, 24, 50, 32], Operations: []
Exploring Operation: 75-24=51, Resulting Numbers: [50, 32, 51]
Generated Node #2: [50, 32, 51] from Operation: 75-24=51
Current State: 69:[50, 32, 51], Operations: ['75-24=51']
Exploring Operation: 50-32=18, Resulting Numbers: [51, 18]
Generated Node #3: [51, 18] from Operation: 50-32=18
Current State: 69:[51, 18], Operations: ['75-24=51', '50-32=18']
Exploring Operation: 51+18=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
67,
54,
26,
10
] | 12 | [
"67-54=13",
"26/13=2",
"10+2=12"
] | Current State: 12:[67, 54, 26, 10], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [26, 10, 13]
Generated Node #2: [26, 10, 13] from Operation: 67-54=13
Current State: 12:[26, 10, 13], Operations: ['67-54=13']
Exploring Operation: 26/13=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 26/13=2
Current State: 12:[10, 2], Operations: ['67-54=13', '26/13=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
17,
47,
13,
60
] | 58 | [
"47-13=34",
"34/17=2",
"60-2=58"
] | Current State: 58:[17, 47, 13, 60], Operations: []
Exploring Operation: 47-13=34, Resulting Numbers: [17, 60, 34]
Generated Node #2: [17, 60, 34] from Operation: 47-13=34
Current State: 58:[17, 60, 34], Operations: ['47-13=34']
Exploring Operation: 34/17=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 34/17=2
Current State: 58:[60, 2], Operations: ['47-13=34', '34/17=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
21,
22,
49,
61
] | 13 | [
"22-21=1",
"61-49=12",
"1+12=13"
] | Current State: 13:[21, 22, 49, 61], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [49, 61, 1]
Generated Node #2: [49, 61, 1] from Operation: 22-21=1
Current State: 13:[49, 61, 1], Operations: ['22-21=1']
Exploring Operation: 61-49=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 61-49=12
Current State: 13:[1, 12], Operations: ['22-21=1', '61-49=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
35,
25,
70,
61
] | 71 | [
"35+25=60",
"70+61=131",
"131-60=71"
] | Current State: 71:[35, 25, 70, 61], Operations: []
Exploring Operation: 35+25=60, Resulting Numbers: [70, 61, 60]
Generated Node #2: [70, 61, 60] from Operation: 35+25=60
Current State: 71:[70, 61, 60], Operations: ['35+25=60']
Exploring Operation: 70+61=131, Resulting Numbers: [60, 131]
Generated Node #3: [60, 131] from Operation: 70+61=131
Current State: 71:[60, 131], Operations: ['35+25=60', '70+61=131']
Exploring Operation: 131-60=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
39,
31,
33,
4
] | 66 | [
"39-31=8",
"33*8=264",
"264/4=66"
] | Current State: 66:[39, 31, 33, 4], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [33, 4, 8]
Generated Node #2: [33, 4, 8] from Operation: 39-31=8
Current State: 66:[33, 4, 8], Operations: ['39-31=8']
Exploring Operation: 33*8=264, Resulting Numbers: [4, 264]
Generated Node #3: [4, 264] from Operation: 33*8=264
Current State: 66:[4, 264], Operations: ['39-31=8', '33*8=264']
Exploring Operation: 264/4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
54,
88,
20,
36
] | 51 | [
"88+20=108",
"108/36=3",
"54-3=51"
] | Current State: 51:[54, 88, 20, 36], Operations: []
Exploring Operation: 88+20=108, Resulting Numbers: [54, 36, 108]
Generated Node #2: [54, 36, 108] from Operation: 88+20=108
Current State: 51:[54, 36, 108], Operations: ['88+20=108']
Exploring Operation: 108/36=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 108/36=3
Current State: 51:[54, 3], Operations: ['88+20=108', '108/36=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
54,
10,
81,
3
] | 57 | [
"81-54=27",
"10*3=30",
"27+30=57"
] | Current State: 57:[54, 10, 81, 3], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [10, 3, 27]
Generated Node #2: [10, 3, 27] from Operation: 81-54=27
Current State: 57:[10, 3, 27], Operations: ['81-54=27']
Exploring Operation: 10*3=30, Resulting Numbers: [27, 30]
Generated Node #3: [27, 30] from Operation: 10*3=30
Current State: 57:[27, 30], Operations: ['81-54=27', '10*3=30']
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
26,
34,
11,
30
] | 58 | [
"34-26=8",
"11*8=88",
"88-30=58"
] | Current State: 58:[26, 34, 11, 30], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [11, 30, 8]
Generated Node #2: [11, 30, 8] from Operation: 34-26=8
Current State: 58:[11, 30, 8], Operations: ['34-26=8']
Exploring Operation: 11*8=88, Resulting Numbers: [30, 88]
Generated Node #3: [30, 88] from Operation: 11*8=88
Current State: 58:[30, 88], Operations: ['34-26=8', '11*8=88']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
71,
59,
64
] | 91 | [
"25+71=96",
"64-59=5",
"96-5=91"
] | Current State: 91:[25, 71, 59, 64], Operations: []
Exploring Operation: 25+71=96, Resulting Numbers: [59, 64, 96]
Generated Node #2: [59, 64, 96] from Operation: 25+71=96
Current State: 91:[59, 64, 96], Operations: ['25+71=96']
Exploring Operation: 64-59=5, Resulting Numbers: [96, 5]
Generated Node #3: [96, 5] from Operation: 64-59=5
Current State: 91:[96, 5], Operations: ['25+71=96', '64-59=5']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
47,
45,
84,
26
] | 34 | [
"47+45=92",
"84-26=58",
"92-58=34"
] | Current State: 34:[47, 45, 84, 26], Operations: []
Exploring Operation: 47+45=92, Resulting Numbers: [84, 26, 92]
Generated Node #2: [84, 26, 92] from Operation: 47+45=92
Current State: 34:[84, 26, 92], Operations: ['47+45=92']
Exploring Operation: 84-26=58, Resulting Numbers: [92, 58]
Generated Node #3: [92, 58] from Operation: 84-26=58
Current State: 34:[92, 58], Operations: ['47+45=92', '84-26=58']
Exploring Operation: 92-58=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
59,
63,
36,
77
] | 45 | [
"63-59=4",
"77-36=41",
"4+41=45"
] | Current State: 45:[59, 63, 36, 77], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [36, 77, 4]
Generated Node #2: [36, 77, 4] from Operation: 63-59=4
Current State: 45:[36, 77, 4], Operations: ['63-59=4']
Exploring Operation: 77-36=41, Resulting Numbers: [4, 41]
Generated Node #3: [4, 41] from Operation: 77-36=41
Current State: 45:[4, 41], Operations: ['63-59=4', '77-36=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
42,
50,
72,
54
] | 44 | [
"54-42=12",
"72/12=6",
"50-6=44"
] | Current State: 44:[42, 50, 72, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [50, 72, 12]
Generated Node #2: [50, 72, 12] from Operation: 54-42=12
Current State: 44:[50, 72, 12], Operations: ['54-42=12']
Exploring Operation: 72/12=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 72/12=6
Current State: 44:[50, 6], Operations: ['54-42=12', '72/12=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
81,
28,
6,
6
] | 73 | [
"81+28=109",
"6*6=36",
"109-36=73"
] | Current State: 73:[81, 28, 6, 6], Operations: []
Exploring Operation: 81+28=109, Resulting Numbers: [6, 6, 109]
Generated Node #2: [6, 6, 109] from Operation: 81+28=109
Current State: 73:[6, 6, 109], Operations: ['81+28=109']
Exploring Operation: 6*6=36, Resulting Numbers: [109, 36]
Generated Node #3: [109, 36] from Operation: 6*6=36
Current State: 73:[109, 36], Operations: ['81+28=109', '6*6=36']
Exploring Operation: 109-36=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
34,
72,
16,
82
] | 60 | [
"72-34=38",
"16+82=98",
"98-38=60"
] | Current State: 60:[34, 72, 16, 82], Operations: []
Exploring Operation: 72-34=38, Resulting Numbers: [16, 82, 38]
Generated Node #2: [16, 82, 38] from Operation: 72-34=38
Current State: 60:[16, 82, 38], Operations: ['72-34=38']
Exploring Operation: 16+82=98, Resulting Numbers: [38, 98]
Generated Node #3: [38, 98] from Operation: 16+82=98
Current State: 60:[38, 98], Operations: ['72-34=38', '16+82=98']
Exploring Operation: 98-38=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
5,
32,
16,
27
] | 59 | [
"32/16=2",
"27*2=54",
"5+54=59"
] | Current State: 59:[5, 32, 16, 27], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [5, 27, 2]
Generated Node #2: [5, 27, 2] from Operation: 32/16=2
Current State: 59:[5, 27, 2], Operations: ['32/16=2']
Exploring Operation: 27*2=54, Resulting Numbers: [5, 54]
Generated Node #3: [5, 54] from Operation: 27*2=54
Current State: 59:[5, 54], Operations: ['32/16=2', '27*2=54']
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
55,
58,
47,
44
] | 59 | [
"58-47=11",
"44/11=4",
"55+4=59"
] | Current State: 59:[55, 58, 47, 44], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [55, 44, 11]
Generated Node #2: [55, 44, 11] from Operation: 58-47=11
Current State: 59:[55, 44, 11], Operations: ['58-47=11']
Exploring Operation: 44/11=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 44/11=4
Current State: 59:[55, 4], Operations: ['58-47=11', '44/11=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
96,
35,
56,
20
] | 100 | [
"96-35=61",
"61-56=5",
"20*5=100"
] | Current State: 100:[96, 35, 56, 20], Operations: []
Exploring Operation: 96-35=61, Resulting Numbers: [56, 20, 61]
Generated Node #2: [56, 20, 61] from Operation: 96-35=61
Current State: 100:[56, 20, 61], Operations: ['96-35=61']
Exploring Operation: 61-56=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 61-56=5
Current State: 100:[20, 5], Operations: ['96-35=61', '61-56=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
54,
16,
59,
65
] | 64 | [
"54+16=70",
"65-59=6",
"70-6=64"
] | Current State: 64:[54, 16, 59, 65], Operations: []
Exploring Operation: 54+16=70, Resulting Numbers: [59, 65, 70]
Generated Node #2: [59, 65, 70] from Operation: 54+16=70
Current State: 64:[59, 65, 70], Operations: ['54+16=70']
Exploring Operation: 65-59=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 65-59=6
Current State: 64:[70, 6], Operations: ['54+16=70', '65-59=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
59,
11,
64,
2
] | 80 | [
"59-11=48",
"64*2=128",
"128-48=80"
] | Current State: 80:[59, 11, 64, 2], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [64, 2, 48]
Generated Node #2: [64, 2, 48] from Operation: 59-11=48
Current State: 80:[64, 2, 48], Operations: ['59-11=48']
Exploring Operation: 64*2=128, Resulting Numbers: [48, 128]
Generated Node #3: [48, 128] from Operation: 64*2=128
Current State: 80:[48, 128], Operations: ['59-11=48', '64*2=128']
Exploring Operation: 128-48=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
75,
36,
39,
2
] | 27 | [
"39-36=3",
"75/3=25",
"2+25=27"
] | Current State: 27:[75, 36, 39, 2], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [75, 2, 3]
Generated Node #2: [75, 2, 3] from Operation: 39-36=3
Current State: 27:[75, 2, 3], Operations: ['39-36=3']
Exploring Operation: 75/3=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 75/3=25
Current State: 27:[2, 25], Operations: ['39-36=3', '75/3=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
64,
96,
38,
78
] | 99 | [
"64-38=26",
"78/26=3",
"96+3=99"
] | Current State: 99:[64, 96, 38, 78], Operations: []
Exploring Operation: 64-38=26, Resulting Numbers: [96, 78, 26]
Generated Node #2: [96, 78, 26] from Operation: 64-38=26
Current State: 99:[96, 78, 26], Operations: ['64-38=26']
Exploring Operation: 78/26=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 78/26=3
Current State: 99:[96, 3], Operations: ['64-38=26', '78/26=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
75,
94,
22,
33
] | 36 | [
"94-75=19",
"22+33=55",
"55-19=36"
] | Current State: 36:[75, 94, 22, 33], Operations: []
Exploring Operation: 94-75=19, Resulting Numbers: [22, 33, 19]
Generated Node #2: [22, 33, 19] from Operation: 94-75=19
Current State: 36:[22, 33, 19], Operations: ['94-75=19']
Exploring Operation: 22+33=55, Resulting Numbers: [19, 55]
Generated Node #3: [19, 55] from Operation: 22+33=55
Current State: 36:[19, 55], Operations: ['94-75=19', '22+33=55']
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
30,
32,
21
] | 27 | [
"8+30=38",
"32-21=11",
"38-11=27"
] | Current State: 27:[8, 30, 32, 21], Operations: []
Exploring Operation: 8+30=38, Resulting Numbers: [32, 21, 38]
Generated Node #2: [32, 21, 38] from Operation: 8+30=38
Current State: 27:[32, 21, 38], Operations: ['8+30=38']
Exploring Operation: 32-21=11, Resulting Numbers: [38, 11]
Generated Node #3: [38, 11] from Operation: 32-21=11
Current State: 27:[38, 11], Operations: ['8+30=38', '32-21=11']
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
63,
71,
73,
9
] | 23 | [
"63+71=134",
"73+134=207",
"207/9=23"
] | Current State: 23:[63, 71, 73, 9], Operations: []
Exploring Operation: 63+71=134, Resulting Numbers: [73, 9, 134]
Generated Node #2: [73, 9, 134] from Operation: 63+71=134
Current State: 23:[73, 9, 134], Operations: ['63+71=134']
Exploring Operation: 73+134=207, Resulting Numbers: [9, 207]
Generated Node #3: [9, 207] from Operation: 73+134=207
Current State: 23:[9, 207], Operations: ['63+71=134', '73+134=207']
Exploring Operation: 207/9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
90,
68,
66,
92
] | 44 | [
"68-66=2",
"92/2=46",
"90-46=44"
] | Current State: 44:[90, 68, 66, 92], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [90, 92, 2]
Generated Node #2: [90, 92, 2] from Operation: 68-66=2
Current State: 44:[90, 92, 2], Operations: ['68-66=2']
Exploring Operation: 92/2=46, Resulting Numbers: [90, 46]
Generated Node #3: [90, 46] from Operation: 92/2=46
Current State: 44:[90, 46], Operations: ['68-66=2', '92/2=46']
Exploring Operation: 90-46=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
62,
58,
49,
26
] | 29 | [
"62-49=13",
"58*13=754",
"754/26=29"
] | Current State: 29:[62, 58, 49, 26], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [58, 26, 13]
Generated Node #2: [58, 26, 13] from Operation: 62-49=13
Current State: 29:[58, 26, 13], Operations: ['62-49=13']
Exploring Operation: 58*13=754, Resulting Numbers: [26, 754]
Generated Node #3: [26, 754] from Operation: 58*13=754
Current State: 29:[26, 754], Operations: ['62-49=13', '58*13=754']
Exploring Operation: 754/26=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
71,
96,
20,
5
] | 95 | [
"96*5=480",
"480/20=24",
"71+24=95"
] | Current State: 95:[71, 96, 20, 5], Operations: []
Exploring Operation: 96*5=480, Resulting Numbers: [71, 20, 480]
Generated Node #2: [71, 20, 480] from Operation: 96*5=480
Current State: 95:[71, 20, 480], Operations: ['96*5=480']
Exploring Operation: 480/20=24, Resulting Numbers: [71, 24]
Generated Node #3: [71, 24] from Operation: 480/20=24
Current State: 95:[71, 24], Operations: ['96*5=480', '480/20=24']
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
26,
74,
90
] | 98 | [
"74-26=48",
"48/6=8",
"90+8=98"
] | Current State: 98:[6, 26, 74, 90], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [6, 90, 48]
Generated Node #2: [6, 90, 48] from Operation: 74-26=48
Current State: 98:[6, 90, 48], Operations: ['74-26=48']
Exploring Operation: 48/6=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 48/6=8
Current State: 98:[90, 8], Operations: ['74-26=48', '48/6=8']
Exploring Operation: 90+8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
7,
14,
89,
30
] | 19 | [
"14+89=103",
"30+103=133",
"133/7=19"
] | Current State: 19:[7, 14, 89, 30], Operations: []
Exploring Operation: 14+89=103, Resulting Numbers: [7, 30, 103]
Generated Node #2: [7, 30, 103] from Operation: 14+89=103
Current State: 19:[7, 30, 103], Operations: ['14+89=103']
Exploring Operation: 30+103=133, Resulting Numbers: [7, 133]
Generated Node #3: [7, 133] from Operation: 30+103=133
Current State: 19:[7, 133], Operations: ['14+89=103', '30+103=133']
Exploring Operation: 133/7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
27,
90,
55,
70
] | 76 | [
"27*70=1890",
"1890/90=21",
"55+21=76"
] | Current State: 76:[27, 90, 55, 70], Operations: []
Exploring Operation: 27*70=1890, Resulting Numbers: [90, 55, 1890]
Generated Node #2: [90, 55, 1890] from Operation: 27*70=1890
Current State: 76:[90, 55, 1890], Operations: ['27*70=1890']
Exploring Operation: 1890/90=21, Resulting Numbers: [55, 21]
Generated Node #3: [55, 21] from Operation: 1890/90=21
Current State: 76:[55, 21], Operations: ['27*70=1890', '1890/90=21']
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
64,
78,
2,
96
] | 50 | [
"64+78=142",
"2*96=192",
"192-142=50"
] | Current State: 50:[64, 78, 2, 96], Operations: []
Exploring Operation: 64+78=142, Resulting Numbers: [2, 96, 142]
Generated Node #2: [2, 96, 142] from Operation: 64+78=142
Current State: 50:[2, 96, 142], Operations: ['64+78=142']
Exploring Operation: 2*96=192, Resulting Numbers: [142, 192]
Generated Node #3: [142, 192] from Operation: 2*96=192
Current State: 50:[142, 192], Operations: ['64+78=142', '2*96=192']
Exploring Operation: 192-142=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
9,
62,
95,
63
] | 86 | [
"95-9=86",
"63-62=1",
"86*1=86"
] | Current State: 86:[9, 62, 95, 63], Operations: []
Exploring Operation: 95-9=86, Resulting Numbers: [62, 63, 86]
Generated Node #2: [62, 63, 86] from Operation: 95-9=86
Current State: 86:[62, 63, 86], Operations: ['95-9=86']
Exploring Operation: 63-62=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 63-62=1
Current State: 86:[86, 1], Operations: ['95-9=86', '63-62=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
85,
6,
36,
53
] | 38 | [
"85-53=32",
"36/6=6",
"32+6=38"
] | Current State: 38:[85, 6, 36, 53], Operations: []
Exploring Operation: 85-53=32, Resulting Numbers: [6, 36, 32]
Generated Node #2: [6, 36, 32] from Operation: 85-53=32
Current State: 38:[6, 36, 32], Operations: ['85-53=32']
Exploring Operation: 36/6=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 36/6=6
Current State: 38:[32, 6], Operations: ['85-53=32', '36/6=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
40,
23,
92,
62
] | 26 | [
"62-40=22",
"92/23=4",
"22+4=26"
] | Current State: 26:[40, 23, 92, 62], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [23, 92, 22]
Generated Node #2: [23, 92, 22] from Operation: 62-40=22
Current State: 26:[23, 92, 22], Operations: ['62-40=22']
Exploring Operation: 92/23=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 92/23=4
Current State: 26:[22, 4], Operations: ['62-40=22', '92/23=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
14,
68,
80,
15
] | 100 | [
"14*80=1120",
"68*15=1020",
"1120-1020=100"
] | Current State: 100:[14, 68, 80, 15], Operations: []
Exploring Operation: 14*80=1120, Resulting Numbers: [68, 15, 1120]
Generated Node #2: [68, 15, 1120] from Operation: 14*80=1120
Current State: 100:[68, 15, 1120], Operations: ['14*80=1120']
Exploring Operation: 68*15=1020, Resulting Numbers: [1120, 1020]
Generated Node #3: [1120, 1020] from Operation: 68*15=1020
Current State: 100:[1120, 1020], Operations: ['14*80=1120', '68*15=1020']
Exploring Operation: 1120-1020=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
33,
49,
27,
88
] | 37 | [
"49-27=22",
"88/22=4",
"33+4=37"
] | Current State: 37:[33, 49, 27, 88], Operations: []
Exploring Operation: 49-27=22, Resulting Numbers: [33, 88, 22]
Generated Node #2: [33, 88, 22] from Operation: 49-27=22
Current State: 37:[33, 88, 22], Operations: ['49-27=22']
Exploring Operation: 88/22=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 88/22=4
Current State: 37:[33, 4], Operations: ['49-27=22', '88/22=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
68,
60,
11,
17
] | 99 | [
"68-60=8",
"17-8=9",
"11*9=99"
] | Current State: 99:[68, 60, 11, 17], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [11, 17, 8]
Generated Node #2: [11, 17, 8] from Operation: 68-60=8
Current State: 99:[11, 17, 8], Operations: ['68-60=8']
Exploring Operation: 17-8=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 17-8=9
Current State: 99:[11, 9], Operations: ['68-60=8', '17-8=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
10,
98,
96,
51
] | 43 | [
"98-10=88",
"96-51=45",
"88-45=43"
] | Current State: 43:[10, 98, 96, 51], Operations: []
Exploring Operation: 98-10=88, Resulting Numbers: [96, 51, 88]
Generated Node #2: [96, 51, 88] from Operation: 98-10=88
Current State: 43:[96, 51, 88], Operations: ['98-10=88']
Exploring Operation: 96-51=45, Resulting Numbers: [88, 45]
Generated Node #3: [88, 45] from Operation: 96-51=45
Current State: 43:[88, 45], Operations: ['98-10=88', '96-51=45']
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
22,
24,
53,
26
] | 73 | [
"22+24=46",
"53-26=27",
"46+27=73"
] | Current State: 73:[22, 24, 53, 26], Operations: []
Exploring Operation: 22+24=46, Resulting Numbers: [53, 26, 46]
Generated Node #2: [53, 26, 46] from Operation: 22+24=46
Current State: 73:[53, 26, 46], Operations: ['22+24=46']
Exploring Operation: 53-26=27, Resulting Numbers: [46, 27]
Generated Node #3: [46, 27] from Operation: 53-26=27
Current State: 73:[46, 27], Operations: ['22+24=46', '53-26=27']
Exploring Operation: 46+27=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
45,
90,
59,
20
] | 56 | [
"45+90=135",
"59+20=79",
"135-79=56"
] | Current State: 56:[45, 90, 59, 20], Operations: []
Exploring Operation: 45+90=135, Resulting Numbers: [59, 20, 135]
Generated Node #2: [59, 20, 135] from Operation: 45+90=135
Current State: 56:[59, 20, 135], Operations: ['45+90=135']
Exploring Operation: 59+20=79, Resulting Numbers: [135, 79]
Generated Node #3: [135, 79] from Operation: 59+20=79
Current State: 56:[135, 79], Operations: ['45+90=135', '59+20=79']
Exploring Operation: 135-79=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
20,
34,
18,
37
] | 71 | [
"34*37=1258",
"20+1258=1278",
"1278/18=71"
] | Current State: 71:[20, 34, 18, 37], Operations: []
Exploring Operation: 34*37=1258, Resulting Numbers: [20, 18, 1258]
Generated Node #2: [20, 18, 1258] from Operation: 34*37=1258
Current State: 71:[20, 18, 1258], Operations: ['34*37=1258']
Exploring Operation: 20+1258=1278, Resulting Numbers: [18, 1278]
Generated Node #3: [18, 1278] from Operation: 20+1258=1278
Current State: 71:[18, 1278], Operations: ['34*37=1258', '20+1258=1278']
Exploring Operation: 1278/18=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
48,
33,
34,
98
] | 50 | [
"98-48=50",
"34-33=1",
"50*1=50"
] | Current State: 50:[48, 33, 34, 98], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [33, 34, 50]
Generated Node #2: [33, 34, 50] from Operation: 98-48=50
Current State: 50:[33, 34, 50], Operations: ['98-48=50']
Exploring Operation: 34-33=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 34-33=1
Current State: 50:[50, 1], Operations: ['98-48=50', '34-33=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
17,
35,
18,
90
] | 55 | [
"18-17=1",
"90-35=55",
"1*55=55"
] | Current State: 55:[17, 35, 18, 90], Operations: []
Exploring Operation: 18-17=1, Resulting Numbers: [35, 90, 1]
Generated Node #2: [35, 90, 1] from Operation: 18-17=1
Current State: 55:[35, 90, 1], Operations: ['18-17=1']
Exploring Operation: 90-35=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 90-35=55
Current State: 55:[1, 55], Operations: ['18-17=1', '90-35=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
60,
16,
31,
76
] | 32 | [
"60+16=76",
"76/76=1",
"31+1=32"
] | Current State: 32:[60, 16, 31, 76], Operations: []
Exploring Operation: 60+16=76, Resulting Numbers: [31, 76, 76]
Generated Node #2: [31, 76, 76] from Operation: 60+16=76
Current State: 32:[31, 76, 76], Operations: ['60+16=76']
Exploring Operation: 76/76=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 76/76=1
Current State: 32:[31, 1], Operations: ['60+16=76', '76/76=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
32,
29,
11,
60
] | 74 | [
"32-29=3",
"11+60=71",
"3+71=74"
] | Current State: 74:[32, 29, 11, 60], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [11, 60, 3]
Generated Node #2: [11, 60, 3] from Operation: 32-29=3
Current State: 74:[11, 60, 3], Operations: ['32-29=3']
Exploring Operation: 11+60=71, Resulting Numbers: [3, 71]
Generated Node #3: [3, 71] from Operation: 11+60=71
Current State: 74:[3, 71], Operations: ['32-29=3', '11+60=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
98,
47,
9,
42
] | 81 | [
"98-47=51",
"51-42=9",
"9*9=81"
] | Current State: 81:[98, 47, 9, 42], Operations: []
Exploring Operation: 98-47=51, Resulting Numbers: [9, 42, 51]
Generated Node #2: [9, 42, 51] from Operation: 98-47=51
Current State: 81:[9, 42, 51], Operations: ['98-47=51']
Exploring Operation: 51-42=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 51-42=9
Current State: 81:[9, 9], Operations: ['98-47=51', '51-42=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
73,
11,
34,
79
] | 100 | [
"79-73=6",
"11*6=66",
"34+66=100"
] | Current State: 100:[73, 11, 34, 79], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [11, 34, 6]
Generated Node #2: [11, 34, 6] from Operation: 79-73=6
Current State: 100:[11, 34, 6], Operations: ['79-73=6']
Exploring Operation: 11*6=66, Resulting Numbers: [34, 66]
Generated Node #3: [34, 66] from Operation: 11*6=66
Current State: 100:[34, 66], Operations: ['79-73=6', '11*6=66']
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
60,
42,
75,
30
] | 45 | [
"60-42=18",
"75*18=1350",
"1350/30=45"
] | Current State: 45:[60, 42, 75, 30], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [75, 30, 18]
Generated Node #2: [75, 30, 18] from Operation: 60-42=18
Current State: 45:[75, 30, 18], Operations: ['60-42=18']
Exploring Operation: 75*18=1350, Resulting Numbers: [30, 1350]
Generated Node #3: [30, 1350] from Operation: 75*18=1350
Current State: 45:[30, 1350], Operations: ['60-42=18', '75*18=1350']
Exploring Operation: 1350/30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
87,
23,
82,
66
] | 48 | [
"87-23=64",
"82-66=16",
"64-16=48"
] | Current State: 48:[87, 23, 82, 66], Operations: []
Exploring Operation: 87-23=64, Resulting Numbers: [82, 66, 64]
Generated Node #2: [82, 66, 64] from Operation: 87-23=64
Current State: 48:[82, 66, 64], Operations: ['87-23=64']
Exploring Operation: 82-66=16, Resulting Numbers: [64, 16]
Generated Node #3: [64, 16] from Operation: 82-66=16
Current State: 48:[64, 16], Operations: ['87-23=64', '82-66=16']
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
16,
53,
78,
63
] | 84 | [
"16+53=69",
"78-63=15",
"69+15=84"
] | Current State: 84:[16, 53, 78, 63], Operations: []
Exploring Operation: 16+53=69, Resulting Numbers: [78, 63, 69]
Generated Node #2: [78, 63, 69] from Operation: 16+53=69
Current State: 84:[78, 63, 69], Operations: ['16+53=69']
Exploring Operation: 78-63=15, Resulting Numbers: [69, 15]
Generated Node #3: [69, 15] from Operation: 78-63=15
Current State: 84:[69, 15], Operations: ['16+53=69', '78-63=15']
Exploring Operation: 69+15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
10,
92,
16
] | 69 | [
"2+10=12",
"92*12=1104",
"1104/16=69"
] | Current State: 69:[2, 10, 92, 16], Operations: []
Exploring Operation: 2+10=12, Resulting Numbers: [92, 16, 12]
Generated Node #2: [92, 16, 12] from Operation: 2+10=12
Current State: 69:[92, 16, 12], Operations: ['2+10=12']
Exploring Operation: 92*12=1104, Resulting Numbers: [16, 1104]
Generated Node #3: [16, 1104] from Operation: 92*12=1104
Current State: 69:[16, 1104], Operations: ['2+10=12', '92*12=1104']
Exploring Operation: 1104/16=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
19,
84,
99,
86
] | 90 | [
"19+84=103",
"99-86=13",
"103-13=90"
] | Current State: 90:[19, 84, 99, 86], Operations: []
Exploring Operation: 19+84=103, Resulting Numbers: [99, 86, 103]
Generated Node #2: [99, 86, 103] from Operation: 19+84=103
Current State: 90:[99, 86, 103], Operations: ['19+84=103']
Exploring Operation: 99-86=13, Resulting Numbers: [103, 13]
Generated Node #3: [103, 13] from Operation: 99-86=13
Current State: 90:[103, 13], Operations: ['19+84=103', '99-86=13']
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
48,
88,
10,
89
] | 57 | [
"48+88=136",
"89-10=79",
"136-79=57"
] | Current State: 57:[48, 88, 10, 89], Operations: []
Exploring Operation: 48+88=136, Resulting Numbers: [10, 89, 136]
Generated Node #2: [10, 89, 136] from Operation: 48+88=136
Current State: 57:[10, 89, 136], Operations: ['48+88=136']
Exploring Operation: 89-10=79, Resulting Numbers: [136, 79]
Generated Node #3: [136, 79] from Operation: 89-10=79
Current State: 57:[136, 79], Operations: ['48+88=136', '89-10=79']
Exploring Operation: 136-79=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
75,
97,
91,
28
] | 93 | [
"97-91=6",
"28*6=168",
"168-75=93"
] | Current State: 93:[75, 97, 91, 28], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [75, 28, 6]
Generated Node #2: [75, 28, 6] from Operation: 97-91=6
Current State: 93:[75, 28, 6], Operations: ['97-91=6']
Exploring Operation: 28*6=168, Resulting Numbers: [75, 168]
Generated Node #3: [75, 168] from Operation: 28*6=168
Current State: 93:[75, 168], Operations: ['97-91=6', '28*6=168']
Exploring Operation: 168-75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
90,
35,
92,
67
] | 99 | [
"92-90=2",
"67*2=134",
"134-35=99"
] | Current State: 99:[90, 35, 92, 67], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [35, 67, 2]
Generated Node #2: [35, 67, 2] from Operation: 92-90=2
Current State: 99:[35, 67, 2], Operations: ['92-90=2']
Exploring Operation: 67*2=134, Resulting Numbers: [35, 134]
Generated Node #3: [35, 134] from Operation: 67*2=134
Current State: 99:[35, 134], Operations: ['92-90=2', '67*2=134']
Exploring Operation: 134-35=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
67,
42,
3,
45
] | 96 | [
"42+45=87",
"87/3=29",
"67+29=96"
] | Current State: 96:[67, 42, 3, 45], Operations: []
Exploring Operation: 42+45=87, Resulting Numbers: [67, 3, 87]
Generated Node #2: [67, 3, 87] from Operation: 42+45=87
Current State: 96:[67, 3, 87], Operations: ['42+45=87']
Exploring Operation: 87/3=29, Resulting Numbers: [67, 29]
Generated Node #3: [67, 29] from Operation: 87/3=29
Current State: 96:[67, 29], Operations: ['42+45=87', '87/3=29']
Exploring Operation: 67+29=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
31,
81,
19,
91
] | 40 | [
"31+81=112",
"91-19=72",
"112-72=40"
] | Current State: 40:[31, 81, 19, 91], Operations: []
Exploring Operation: 31+81=112, Resulting Numbers: [19, 91, 112]
Generated Node #2: [19, 91, 112] from Operation: 31+81=112
Current State: 40:[19, 91, 112], Operations: ['31+81=112']
Exploring Operation: 91-19=72, Resulting Numbers: [112, 72]
Generated Node #3: [112, 72] from Operation: 91-19=72
Current State: 40:[112, 72], Operations: ['31+81=112', '91-19=72']
Exploring Operation: 112-72=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
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