nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
83,
75,
39,
22
] | 77 | [
"83-39=44",
"44/22=2",
"75+2=77"
] | Current State: 77:[83, 75, 39, 22], Operations: []
Exploring Operation: 83-39=44, Resulting Numbers: [75, 22, 44]
Generated Node #2: [75, 22, 44] from Operation: 83-39=44
Current State: 77:[75, 22, 44], Operations: ['83-39=44']
Exploring Operation: 44/22=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 44/22=2
Current State: 77:[75, 2], Operations: ['83-39=44', '44/22=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
22,
24,
59,
25
] | 81 | [
"22+59=81",
"25-24=1",
"81*1=81"
] | Current State: 81:[22, 24, 59, 25], Operations: []
Exploring Operation: 22+59=81, Resulting Numbers: [24, 25, 81]
Generated Node #2: [24, 25, 81] from Operation: 22+59=81
Current State: 81:[24, 25, 81], Operations: ['22+59=81']
Exploring Operation: 25-24=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 25-24=1
Current State: 81:[81, 1], Operations: ['22+59=81', '25-24=1']
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
38,
18,
26,
50
] | 39 | [
"50-38=12",
"18*26=468",
"468/12=39"
] | Current State: 39:[38, 18, 26, 50], Operations: []
Exploring Operation: 50-38=12, Resulting Numbers: [18, 26, 12]
Generated Node #2: [18, 26, 12] from Operation: 50-38=12
Current State: 39:[18, 26, 12], Operations: ['50-38=12']
Exploring Operation: 18*26=468, Resulting Numbers: [12, 468]
Generated Node #3: [12, 468] from Operation: 18*26=468
Current State: 39:[12, 468], Operations: ['50-38=12', '18*26=468']
Exploring Operation: 468/12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
28,
93,
11,
77
] | 88 | [
"28+93=121",
"121/11=11",
"77+11=88"
] | Current State: 88:[28, 93, 11, 77], Operations: []
Exploring Operation: 28+93=121, Resulting Numbers: [11, 77, 121]
Generated Node #2: [11, 77, 121] from Operation: 28+93=121
Current State: 88:[11, 77, 121], Operations: ['28+93=121']
Exploring Operation: 121/11=11, Resulting Numbers: [77, 11]
Generated Node #3: [77, 11] from Operation: 121/11=11
Current State: 88:[77, 11], Operations: ['28+93=121', '121/11=11']
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
69,
46,
93,
50
] | 28 | [
"69+46=115",
"93+50=143",
"143-115=28"
] | Current State: 28:[69, 46, 93, 50], Operations: []
Exploring Operation: 69+46=115, Resulting Numbers: [93, 50, 115]
Generated Node #2: [93, 50, 115] from Operation: 69+46=115
Current State: 28:[93, 50, 115], Operations: ['69+46=115']
Exploring Operation: 93+50=143, Resulting Numbers: [115, 143]
Generated Node #3: [115, 143] from Operation: 93+50=143
Current State: 28:[115, 143], Operations: ['69+46=115', '93+50=143']
Exploring Operation: 143-115=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
25,
44,
6
] | 52 | [
"25-11=14",
"44-6=38",
"14+38=52"
] | Current State: 52:[11, 25, 44, 6], Operations: []
Exploring Operation: 25-11=14, Resulting Numbers: [44, 6, 14]
Generated Node #2: [44, 6, 14] from Operation: 25-11=14
Current State: 52:[44, 6, 14], Operations: ['25-11=14']
Exploring Operation: 44-6=38, Resulting Numbers: [14, 38]
Generated Node #3: [14, 38] from Operation: 44-6=38
Current State: 52:[14, 38], Operations: ['25-11=14', '44-6=38']
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
88,
19,
54,
88
] | 74 | [
"88/88=1",
"19+54=73",
"1+73=74"
] | Current State: 74:[88, 19, 54, 88], Operations: []
Exploring Operation: 88/88=1, Resulting Numbers: [19, 54, 1]
Generated Node #2: [19, 54, 1] from Operation: 88/88=1
Current State: 74:[19, 54, 1], Operations: ['88/88=1']
Exploring Operation: 19+54=73, Resulting Numbers: [1, 73]
Generated Node #3: [1, 73] from Operation: 19+54=73
Current State: 74:[1, 73], Operations: ['88/88=1', '19+54=73']
Exploring Operation: 1+73=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
29,
90,
60,
93
] | 33 | [
"60*93=5580",
"5580/90=62",
"62-29=33"
] | Current State: 33:[29, 90, 60, 93], Operations: []
Exploring Operation: 60*93=5580, Resulting Numbers: [29, 90, 5580]
Generated Node #2: [29, 90, 5580] from Operation: 60*93=5580
Current State: 33:[29, 90, 5580], Operations: ['60*93=5580']
Exploring Operation: 5580/90=62, Resulting Numbers: [29, 62]
Generated Node #3: [29, 62] from Operation: 5580/90=62
Current State: 33:[29, 62], Operations: ['60*93=5580', '5580/90=62']
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
94,
91,
94,
76
] | 16 | [
"94/94=1",
"91-76=15",
"1+15=16"
] | Current State: 16:[94, 91, 94, 76], Operations: []
Exploring Operation: 94/94=1, Resulting Numbers: [91, 76, 1]
Generated Node #2: [91, 76, 1] from Operation: 94/94=1
Current State: 16:[91, 76, 1], Operations: ['94/94=1']
Exploring Operation: 91-76=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 91-76=15
Current State: 16:[1, 15], Operations: ['94/94=1', '91-76=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
60,
25,
64,
17
] | 43 | [
"64-60=4",
"17*4=68",
"68-25=43"
] | Current State: 43:[60, 25, 64, 17], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [25, 17, 4]
Generated Node #2: [25, 17, 4] from Operation: 64-60=4
Current State: 43:[25, 17, 4], Operations: ['64-60=4']
Exploring Operation: 17*4=68, Resulting Numbers: [25, 68]
Generated Node #3: [25, 68] from Operation: 17*4=68
Current State: 43:[25, 68], Operations: ['64-60=4', '17*4=68']
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
48,
91,
24,
82
] | 11 | [
"48/24=2",
"91-82=9",
"2+9=11"
] | Current State: 11:[48, 91, 24, 82], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [91, 82, 2]
Generated Node #2: [91, 82, 2] from Operation: 48/24=2
Current State: 11:[91, 82, 2], Operations: ['48/24=2']
Exploring Operation: 91-82=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 91-82=9
Current State: 11:[2, 9], Operations: ['48/24=2', '91-82=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
28,
6,
85,
60
] | 24 | [
"28+6=34",
"60*34=2040",
"2040/85=24"
] | Current State: 24:[28, 6, 85, 60], Operations: []
Exploring Operation: 28+6=34, Resulting Numbers: [85, 60, 34]
Generated Node #2: [85, 60, 34] from Operation: 28+6=34
Current State: 24:[85, 60, 34], Operations: ['28+6=34']
Exploring Operation: 60*34=2040, Resulting Numbers: [85, 2040]
Generated Node #3: [85, 2040] from Operation: 60*34=2040
Current State: 24:[85, 2040], Operations: ['28+6=34', '60*34=2040']
Exploring Operation: 2040/85=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
31,
32,
75,
47
] | 26 | [
"47-32=15",
"75/15=5",
"31-5=26"
] | Current State: 26:[31, 32, 75, 47], Operations: []
Exploring Operation: 47-32=15, Resulting Numbers: [31, 75, 15]
Generated Node #2: [31, 75, 15] from Operation: 47-32=15
Current State: 26:[31, 75, 15], Operations: ['47-32=15']
Exploring Operation: 75/15=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 75/15=5
Current State: 26:[31, 5], Operations: ['47-32=15', '75/15=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
55,
55,
50,
1
] | 59 | [
"55+55=110",
"50+1=51",
"110-51=59"
] | Current State: 59:[55, 55, 50, 1], Operations: []
Exploring Operation: 55+55=110, Resulting Numbers: [50, 1, 110]
Generated Node #2: [50, 1, 110] from Operation: 55+55=110
Current State: 59:[50, 1, 110], Operations: ['55+55=110']
Exploring Operation: 50+1=51, Resulting Numbers: [110, 51]
Generated Node #3: [110, 51] from Operation: 50+1=51
Current State: 59:[110, 51], Operations: ['55+55=110', '50+1=51']
Exploring Operation: 110-51=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
38,
79,
54,
57
] | 76 | [
"38*79=3002",
"54*57=3078",
"3078-3002=76"
] | Current State: 76:[38, 79, 54, 57], Operations: []
Exploring Operation: 38*79=3002, Resulting Numbers: [54, 57, 3002]
Generated Node #2: [54, 57, 3002] from Operation: 38*79=3002
Current State: 76:[54, 57, 3002], Operations: ['38*79=3002']
Exploring Operation: 54*57=3078, Resulting Numbers: [3002, 3078]
Generated Node #3: [3002, 3078] from Operation: 54*57=3078
Current State: 76:[3002, 3078], Operations: ['38*79=3002', '54*57=3078']
Exploring Operation: 3078-3002=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
54,
70,
80,
20
] | 63 | [
"54*70=3780",
"80-20=60",
"3780/60=63"
] | Current State: 63:[54, 70, 80, 20], Operations: []
Exploring Operation: 54*70=3780, Resulting Numbers: [80, 20, 3780]
Generated Node #2: [80, 20, 3780] from Operation: 54*70=3780
Current State: 63:[80, 20, 3780], Operations: ['54*70=3780']
Exploring Operation: 80-20=60, Resulting Numbers: [3780, 60]
Generated Node #3: [3780, 60] from Operation: 80-20=60
Current State: 63:[3780, 60], Operations: ['54*70=3780', '80-20=60']
Exploring Operation: 3780/60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
75,
79,
22,
82
] | 64 | [
"79-75=4",
"82-22=60",
"4+60=64"
] | Current State: 64:[75, 79, 22, 82], Operations: []
Exploring Operation: 79-75=4, Resulting Numbers: [22, 82, 4]
Generated Node #2: [22, 82, 4] from Operation: 79-75=4
Current State: 64:[22, 82, 4], Operations: ['79-75=4']
Exploring Operation: 82-22=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 82-22=60
Current State: 64:[4, 60], Operations: ['79-75=4', '82-22=60']
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
78,
88,
75,
10
] | 60 | [
"78*10=780",
"88-75=13",
"780/13=60"
] | Current State: 60:[78, 88, 75, 10], Operations: []
Exploring Operation: 78*10=780, Resulting Numbers: [88, 75, 780]
Generated Node #2: [88, 75, 780] from Operation: 78*10=780
Current State: 60:[88, 75, 780], Operations: ['78*10=780']
Exploring Operation: 88-75=13, Resulting Numbers: [780, 13]
Generated Node #3: [780, 13] from Operation: 88-75=13
Current State: 60:[780, 13], Operations: ['78*10=780', '88-75=13']
Exploring Operation: 780/13=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
5,
34,
50,
13
] | 93 | [
"50-34=16",
"5*16=80",
"13+80=93"
] | Current State: 93:[5, 34, 50, 13], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [5, 13, 16]
Generated Node #2: [5, 13, 16] from Operation: 50-34=16
Current State: 93:[5, 13, 16], Operations: ['50-34=16']
Exploring Operation: 5*16=80, Resulting Numbers: [13, 80]
Generated Node #3: [13, 80] from Operation: 5*16=80
Current State: 93:[13, 80], Operations: ['50-34=16', '5*16=80']
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
89,
18,
3,
68
] | 15 | [
"89-68=21",
"18/3=6",
"21-6=15"
] | Current State: 15:[89, 18, 3, 68], Operations: []
Exploring Operation: 89-68=21, Resulting Numbers: [18, 3, 21]
Generated Node #2: [18, 3, 21] from Operation: 89-68=21
Current State: 15:[18, 3, 21], Operations: ['89-68=21']
Exploring Operation: 18/3=6, Resulting Numbers: [21, 6]
Generated Node #3: [21, 6] from Operation: 18/3=6
Current State: 15:[21, 6], Operations: ['89-68=21', '18/3=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
9,
14,
5,
79
] | 48 | [
"9*5=45",
"14+79=93",
"93-45=48"
] | Current State: 48:[9, 14, 5, 79], Operations: []
Exploring Operation: 9*5=45, Resulting Numbers: [14, 79, 45]
Generated Node #2: [14, 79, 45] from Operation: 9*5=45
Current State: 48:[14, 79, 45], Operations: ['9*5=45']
Exploring Operation: 14+79=93, Resulting Numbers: [45, 93]
Generated Node #3: [45, 93] from Operation: 14+79=93
Current State: 48:[45, 93], Operations: ['9*5=45', '14+79=93']
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
58,
80,
55,
81
] | 48 | [
"80-58=22",
"81-55=26",
"22+26=48"
] | Current State: 48:[58, 80, 55, 81], Operations: []
Exploring Operation: 80-58=22, Resulting Numbers: [55, 81, 22]
Generated Node #2: [55, 81, 22] from Operation: 80-58=22
Current State: 48:[55, 81, 22], Operations: ['80-58=22']
Exploring Operation: 81-55=26, Resulting Numbers: [22, 26]
Generated Node #3: [22, 26] from Operation: 81-55=26
Current State: 48:[22, 26], Operations: ['80-58=22', '81-55=26']
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
36,
5,
87
] | 83 | [
"36-2=34",
"5*34=170",
"170-87=83"
] | Current State: 83:[2, 36, 5, 87], Operations: []
Exploring Operation: 36-2=34, Resulting Numbers: [5, 87, 34]
Generated Node #2: [5, 87, 34] from Operation: 36-2=34
Current State: 83:[5, 87, 34], Operations: ['36-2=34']
Exploring Operation: 5*34=170, Resulting Numbers: [87, 170]
Generated Node #3: [87, 170] from Operation: 5*34=170
Current State: 83:[87, 170], Operations: ['36-2=34', '5*34=170']
Exploring Operation: 170-87=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
21,
10,
6,
87
] | 28 | [
"21+87=108",
"108/6=18",
"10+18=28"
] | Current State: 28:[21, 10, 6, 87], Operations: []
Exploring Operation: 21+87=108, Resulting Numbers: [10, 6, 108]
Generated Node #2: [10, 6, 108] from Operation: 21+87=108
Current State: 28:[10, 6, 108], Operations: ['21+87=108']
Exploring Operation: 108/6=18, Resulting Numbers: [10, 18]
Generated Node #3: [10, 18] from Operation: 108/6=18
Current State: 28:[10, 18], Operations: ['21+87=108', '108/6=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
20,
67,
27,
74
] | 14 | [
"20+67=87",
"27+74=101",
"101-87=14"
] | Current State: 14:[20, 67, 27, 74], Operations: []
Exploring Operation: 20+67=87, Resulting Numbers: [27, 74, 87]
Generated Node #2: [27, 74, 87] from Operation: 20+67=87
Current State: 14:[27, 74, 87], Operations: ['20+67=87']
Exploring Operation: 27+74=101, Resulting Numbers: [87, 101]
Generated Node #3: [87, 101] from Operation: 27+74=101
Current State: 14:[87, 101], Operations: ['20+67=87', '27+74=101']
Exploring Operation: 101-87=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
12,
24,
1,
63
] | 63 | [
"24/12=2",
"2-1=1",
"63*1=63"
] | Current State: 63:[12, 24, 1, 63], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [1, 63, 2]
Generated Node #2: [1, 63, 2] from Operation: 24/12=2
Current State: 63:[1, 63, 2], Operations: ['24/12=2']
Exploring Operation: 2-1=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 2-1=1
Current State: 63:[63, 1], Operations: ['24/12=2', '2-1=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
7,
6,
58,
3
] | 63 | [
"7+58=65",
"6/3=2",
"65-2=63"
] | Current State: 63:[7, 6, 58, 3], Operations: []
Exploring Operation: 7+58=65, Resulting Numbers: [6, 3, 65]
Generated Node #2: [6, 3, 65] from Operation: 7+58=65
Current State: 63:[6, 3, 65], Operations: ['7+58=65']
Exploring Operation: 6/3=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 6/3=2
Current State: 63:[65, 2], Operations: ['7+58=65', '6/3=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
54,
51,
2,
20
] | 30 | [
"54-51=3",
"20/2=10",
"3*10=30"
] | Current State: 30:[54, 51, 2, 20], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [2, 20, 3]
Generated Node #2: [2, 20, 3] from Operation: 54-51=3
Current State: 30:[2, 20, 3], Operations: ['54-51=3']
Exploring Operation: 20/2=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 20/2=10
Current State: 30:[3, 10], Operations: ['54-51=3', '20/2=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
38,
76,
22,
48
] | 46 | [
"76/38=2",
"48/2=24",
"22+24=46"
] | Current State: 46:[38, 76, 22, 48], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [22, 48, 2]
Generated Node #2: [22, 48, 2] from Operation: 76/38=2
Current State: 46:[22, 48, 2], Operations: ['76/38=2']
Exploring Operation: 48/2=24, Resulting Numbers: [22, 24]
Generated Node #3: [22, 24] from Operation: 48/2=24
Current State: 46:[22, 24], Operations: ['76/38=2', '48/2=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
2,
55,
43,
39
] | 14 | [
"43+39=82",
"82/2=41",
"55-41=14"
] | Current State: 14:[2, 55, 43, 39], Operations: []
Exploring Operation: 43+39=82, Resulting Numbers: [2, 55, 82]
Generated Node #2: [2, 55, 82] from Operation: 43+39=82
Current State: 14:[2, 55, 82], Operations: ['43+39=82']
Exploring Operation: 82/2=41, Resulting Numbers: [55, 41]
Generated Node #3: [55, 41] from Operation: 82/2=41
Current State: 14:[55, 41], Operations: ['43+39=82', '82/2=41']
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
3,
32,
6,
28
] | 18 | [
"6/3=2",
"28/2=14",
"32-14=18"
] | Current State: 18:[3, 32, 6, 28], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [32, 28, 2]
Generated Node #2: [32, 28, 2] from Operation: 6/3=2
Current State: 18:[32, 28, 2], Operations: ['6/3=2']
Exploring Operation: 28/2=14, Resulting Numbers: [32, 14]
Generated Node #3: [32, 14] from Operation: 28/2=14
Current State: 18:[32, 14], Operations: ['6/3=2', '28/2=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
10,
52,
9,
99
] | 58 | [
"10*99=990",
"990/9=110",
"110-52=58"
] | Current State: 58:[10, 52, 9, 99], Operations: []
Exploring Operation: 10*99=990, Resulting Numbers: [52, 9, 990]
Generated Node #2: [52, 9, 990] from Operation: 10*99=990
Current State: 58:[52, 9, 990], Operations: ['10*99=990']
Exploring Operation: 990/9=110, Resulting Numbers: [52, 110]
Generated Node #3: [52, 110] from Operation: 990/9=110
Current State: 58:[52, 110], Operations: ['10*99=990', '990/9=110']
Exploring Operation: 110-52=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
88,
48,
10,
55
] | 40 | [
"48*55=2640",
"2640/88=30",
"10+30=40"
] | Current State: 40:[88, 48, 10, 55], Operations: []
Exploring Operation: 48*55=2640, Resulting Numbers: [88, 10, 2640]
Generated Node #2: [88, 10, 2640] from Operation: 48*55=2640
Current State: 40:[88, 10, 2640], Operations: ['48*55=2640']
Exploring Operation: 2640/88=30, Resulting Numbers: [10, 30]
Generated Node #3: [10, 30] from Operation: 2640/88=30
Current State: 40:[10, 30], Operations: ['48*55=2640', '2640/88=30']
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
15,
67,
56,
64
] | 11 | [
"67-64=3",
"15*3=45",
"56-45=11"
] | Current State: 11:[15, 67, 56, 64], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [15, 56, 3]
Generated Node #2: [15, 56, 3] from Operation: 67-64=3
Current State: 11:[15, 56, 3], Operations: ['67-64=3']
Exploring Operation: 15*3=45, Resulting Numbers: [56, 45]
Generated Node #3: [56, 45] from Operation: 15*3=45
Current State: 11:[56, 45], Operations: ['67-64=3', '15*3=45']
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
56,
46,
25,
92
] | 15 | [
"56+46=102",
"25+92=117",
"117-102=15"
] | Current State: 15:[56, 46, 25, 92], Operations: []
Exploring Operation: 56+46=102, Resulting Numbers: [25, 92, 102]
Generated Node #2: [25, 92, 102] from Operation: 56+46=102
Current State: 15:[25, 92, 102], Operations: ['56+46=102']
Exploring Operation: 25+92=117, Resulting Numbers: [102, 117]
Generated Node #3: [102, 117] from Operation: 25+92=117
Current State: 15:[102, 117], Operations: ['56+46=102', '25+92=117']
Exploring Operation: 117-102=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
70,
65,
3,
13
] | 85 | [
"65*3=195",
"195/13=15",
"70+15=85"
] | Current State: 85:[70, 65, 3, 13], Operations: []
Exploring Operation: 65*3=195, Resulting Numbers: [70, 13, 195]
Generated Node #2: [70, 13, 195] from Operation: 65*3=195
Current State: 85:[70, 13, 195], Operations: ['65*3=195']
Exploring Operation: 195/13=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 195/13=15
Current State: 85:[70, 15], Operations: ['65*3=195', '195/13=15']
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
18,
13,
76,
13
] | 32 | [
"18+13=31",
"76-13=63",
"63-31=32"
] | Current State: 32:[18, 13, 76, 13], Operations: []
Exploring Operation: 18+13=31, Resulting Numbers: [76, 31]
Generated Node #2: [76, 31] from Operation: 18+13=31
Current State: 32:[76, 31], Operations: ['18+13=31']
Exploring Operation: 76-13=63, Resulting Numbers: [31, 63]
Generated Node #3: [31, 63] from Operation: 76-13=63
Current State: 32:[31, 63], Operations: ['18+13=31', '76-13=63']
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
32,
19,
80,
7
] | 60 | [
"32-19=13",
"80-7=73",
"73-13=60"
] | Current State: 60:[32, 19, 80, 7], Operations: []
Exploring Operation: 32-19=13, Resulting Numbers: [80, 7, 13]
Generated Node #2: [80, 7, 13] from Operation: 32-19=13
Current State: 60:[80, 7, 13], Operations: ['32-19=13']
Exploring Operation: 80-7=73, Resulting Numbers: [13, 73]
Generated Node #3: [13, 73] from Operation: 80-7=73
Current State: 60:[13, 73], Operations: ['32-19=13', '80-7=73']
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
63,
36,
35,
7
] | 72 | [
"63+7=70",
"36*70=2520",
"2520/35=72"
] | Current State: 72:[63, 36, 35, 7], Operations: []
Exploring Operation: 63+7=70, Resulting Numbers: [36, 35, 70]
Generated Node #2: [36, 35, 70] from Operation: 63+7=70
Current State: 72:[36, 35, 70], Operations: ['63+7=70']
Exploring Operation: 36*70=2520, Resulting Numbers: [35, 2520]
Generated Node #3: [35, 2520] from Operation: 36*70=2520
Current State: 72:[35, 2520], Operations: ['63+7=70', '36*70=2520']
Exploring Operation: 2520/35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
53,
24,
61,
3
] | 19 | [
"53+24=77",
"61-3=58",
"77-58=19"
] | Current State: 19:[53, 24, 61, 3], Operations: []
Exploring Operation: 53+24=77, Resulting Numbers: [61, 3, 77]
Generated Node #2: [61, 3, 77] from Operation: 53+24=77
Current State: 19:[61, 3, 77], Operations: ['53+24=77']
Exploring Operation: 61-3=58, Resulting Numbers: [77, 58]
Generated Node #3: [77, 58] from Operation: 61-3=58
Current State: 19:[77, 58], Operations: ['53+24=77', '61-3=58']
Exploring Operation: 77-58=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
60,
41,
90,
94
] | 97 | [
"60+41=101",
"94-90=4",
"101-4=97"
] | Current State: 97:[60, 41, 90, 94], Operations: []
Exploring Operation: 60+41=101, Resulting Numbers: [90, 94, 101]
Generated Node #2: [90, 94, 101] from Operation: 60+41=101
Current State: 97:[90, 94, 101], Operations: ['60+41=101']
Exploring Operation: 94-90=4, Resulting Numbers: [101, 4]
Generated Node #3: [101, 4] from Operation: 94-90=4
Current State: 97:[101, 4], Operations: ['60+41=101', '94-90=4']
Exploring Operation: 101-4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
61,
3,
87,
99
] | 25 | [
"99-87=12",
"3*12=36",
"61-36=25"
] | Current State: 25:[61, 3, 87, 99], Operations: []
Exploring Operation: 99-87=12, Resulting Numbers: [61, 3, 12]
Generated Node #2: [61, 3, 12] from Operation: 99-87=12
Current State: 25:[61, 3, 12], Operations: ['99-87=12']
Exploring Operation: 3*12=36, Resulting Numbers: [61, 36]
Generated Node #3: [61, 36] from Operation: 3*12=36
Current State: 25:[61, 36], Operations: ['99-87=12', '3*12=36']
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
27,
19,
48,
33
] | 66 | [
"27+19=46",
"48-46=2",
"33*2=66"
] | Current State: 66:[27, 19, 48, 33], Operations: []
Exploring Operation: 27+19=46, Resulting Numbers: [48, 33, 46]
Generated Node #2: [48, 33, 46] from Operation: 27+19=46
Current State: 66:[48, 33, 46], Operations: ['27+19=46']
Exploring Operation: 48-46=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 48-46=2
Current State: 66:[33, 2], Operations: ['27+19=46', '48-46=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
58,
9,
85,
84
] | 67 | [
"58+9=67",
"85-84=1",
"67*1=67"
] | Current State: 67:[58, 9, 85, 84], Operations: []
Exploring Operation: 58+9=67, Resulting Numbers: [85, 84, 67]
Generated Node #2: [85, 84, 67] from Operation: 58+9=67
Current State: 67:[85, 84, 67], Operations: ['58+9=67']
Exploring Operation: 85-84=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 85-84=1
Current State: 67:[67, 1], Operations: ['58+9=67', '85-84=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
99,
95,
55,
81
] | 22 | [
"99-95=4",
"81-55=26",
"26-4=22"
] | Current State: 22:[99, 95, 55, 81], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [55, 81, 4]
Generated Node #2: [55, 81, 4] from Operation: 99-95=4
Current State: 22:[55, 81, 4], Operations: ['99-95=4']
Exploring Operation: 81-55=26, Resulting Numbers: [4, 26]
Generated Node #3: [4, 26] from Operation: 81-55=26
Current State: 22:[4, 26], Operations: ['99-95=4', '81-55=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
28,
54,
14,
57
] | 42 | [
"28-14=14",
"57-54=3",
"14*3=42"
] | Current State: 42:[28, 54, 14, 57], Operations: []
Exploring Operation: 28-14=14, Resulting Numbers: [54, 57, 14]
Generated Node #2: [54, 57, 14] from Operation: 28-14=14
Current State: 42:[54, 57, 14], Operations: ['28-14=14']
Exploring Operation: 57-54=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 57-54=3
Current State: 42:[14, 3], Operations: ['28-14=14', '57-54=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
83,
65,
98,
58
] | 58 | [
"83-65=18",
"98-58=40",
"18+40=58"
] | Current State: 58:[83, 65, 98, 58], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [98, 58, 18]
Generated Node #2: [98, 58, 18] from Operation: 83-65=18
Current State: 58:[98, 58, 18], Operations: ['83-65=18']
Exploring Operation: 98-58=40, Resulting Numbers: [18, 40]
Generated Node #3: [18, 40] from Operation: 98-58=40
Current State: 58:[18, 40], Operations: ['83-65=18', '98-58=40']
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
16,
8,
40,
29
] | 24 | [
"16-8=8",
"40/8=5",
"29-5=24"
] | Current State: 24:[16, 8, 40, 29], Operations: []
Exploring Operation: 16-8=8, Resulting Numbers: [40, 29, 8]
Generated Node #2: [40, 29, 8] from Operation: 16-8=8
Current State: 24:[40, 29, 8], Operations: ['16-8=8']
Exploring Operation: 40/8=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 40/8=5
Current State: 24:[29, 5], Operations: ['16-8=8', '40/8=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
52,
27,
80
] | 33 | [
"80/10=8",
"52-27=25",
"8+25=33"
] | Current State: 33:[10, 52, 27, 80], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [52, 27, 8]
Generated Node #2: [52, 27, 8] from Operation: 80/10=8
Current State: 33:[52, 27, 8], Operations: ['80/10=8']
Exploring Operation: 52-27=25, Resulting Numbers: [8, 25]
Generated Node #3: [8, 25] from Operation: 52-27=25
Current State: 33:[8, 25], Operations: ['80/10=8', '52-27=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
21,
51,
74,
2
] | 25 | [
"74-51=23",
"2*23=46",
"46-21=25"
] | Current State: 25:[21, 51, 74, 2], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [21, 2, 23]
Generated Node #2: [21, 2, 23] from Operation: 74-51=23
Current State: 25:[21, 2, 23], Operations: ['74-51=23']
Exploring Operation: 2*23=46, Resulting Numbers: [21, 46]
Generated Node #3: [21, 46] from Operation: 2*23=46
Current State: 25:[21, 46], Operations: ['74-51=23', '2*23=46']
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
16,
94,
40,
14
] | 84 | [
"16+94=110",
"40-14=26",
"110-26=84"
] | Current State: 84:[16, 94, 40, 14], Operations: []
Exploring Operation: 16+94=110, Resulting Numbers: [40, 14, 110]
Generated Node #2: [40, 14, 110] from Operation: 16+94=110
Current State: 84:[40, 14, 110], Operations: ['16+94=110']
Exploring Operation: 40-14=26, Resulting Numbers: [110, 26]
Generated Node #3: [110, 26] from Operation: 40-14=26
Current State: 84:[110, 26], Operations: ['16+94=110', '40-14=26']
Exploring Operation: 110-26=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
50,
45,
29,
60
] | 84 | [
"50-45=5",
"29+60=89",
"89-5=84"
] | Current State: 84:[50, 45, 29, 60], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [29, 60, 5]
Generated Node #2: [29, 60, 5] from Operation: 50-45=5
Current State: 84:[29, 60, 5], Operations: ['50-45=5']
Exploring Operation: 29+60=89, Resulting Numbers: [5, 89]
Generated Node #3: [5, 89] from Operation: 29+60=89
Current State: 84:[5, 89], Operations: ['50-45=5', '29+60=89']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
50,
19,
10,
38
] | 79 | [
"50-19=31",
"10+38=48",
"31+48=79"
] | Current State: 79:[50, 19, 10, 38], Operations: []
Exploring Operation: 50-19=31, Resulting Numbers: [10, 38, 31]
Generated Node #2: [10, 38, 31] from Operation: 50-19=31
Current State: 79:[10, 38, 31], Operations: ['50-19=31']
Exploring Operation: 10+38=48, Resulting Numbers: [31, 48]
Generated Node #3: [31, 48] from Operation: 10+38=48
Current State: 79:[31, 48], Operations: ['50-19=31', '10+38=48']
Exploring Operation: 31+48=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
55,
22,
15,
17
] | 79 | [
"55+22=77",
"17-15=2",
"77+2=79"
] | Current State: 79:[55, 22, 15, 17], Operations: []
Exploring Operation: 55+22=77, Resulting Numbers: [15, 17, 77]
Generated Node #2: [15, 17, 77] from Operation: 55+22=77
Current State: 79:[15, 17, 77], Operations: ['55+22=77']
Exploring Operation: 17-15=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 17-15=2
Current State: 79:[77, 2], Operations: ['55+22=77', '17-15=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
24,
80,
40,
60
] | 20 | [
"24+40=64",
"64-60=4",
"80/4=20"
] | Current State: 20:[24, 80, 40, 60], Operations: []
Exploring Operation: 24+40=64, Resulting Numbers: [80, 60, 64]
Generated Node #2: [80, 60, 64] from Operation: 24+40=64
Current State: 20:[80, 60, 64], Operations: ['24+40=64']
Exploring Operation: 64-60=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 64-60=4
Current State: 20:[80, 4], Operations: ['24+40=64', '64-60=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
88,
67,
32,
56
] | 67 | [
"88+67=155",
"32+56=88",
"155-88=67"
] | Current State: 67:[88, 67, 32, 56], Operations: []
Exploring Operation: 88+67=155, Resulting Numbers: [32, 56, 155]
Generated Node #2: [32, 56, 155] from Operation: 88+67=155
Current State: 67:[32, 56, 155], Operations: ['88+67=155']
Exploring Operation: 32+56=88, Resulting Numbers: [155, 88]
Generated Node #3: [155, 88] from Operation: 32+56=88
Current State: 67:[155, 88], Operations: ['88+67=155', '32+56=88']
Exploring Operation: 155-88=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
21,
24,
56,
72
] | 63 | [
"21*24=504",
"504/56=9",
"72-9=63"
] | Current State: 63:[21, 24, 56, 72], Operations: []
Exploring Operation: 21*24=504, Resulting Numbers: [56, 72, 504]
Generated Node #2: [56, 72, 504] from Operation: 21*24=504
Current State: 63:[56, 72, 504], Operations: ['21*24=504']
Exploring Operation: 504/56=9, Resulting Numbers: [72, 9]
Generated Node #3: [72, 9] from Operation: 504/56=9
Current State: 63:[72, 9], Operations: ['21*24=504', '504/56=9']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
65,
94,
99,
46
] | 24 | [
"94-65=29",
"99-46=53",
"53-29=24"
] | Current State: 24:[65, 94, 99, 46], Operations: []
Exploring Operation: 94-65=29, Resulting Numbers: [99, 46, 29]
Generated Node #2: [99, 46, 29] from Operation: 94-65=29
Current State: 24:[99, 46, 29], Operations: ['94-65=29']
Exploring Operation: 99-46=53, Resulting Numbers: [29, 53]
Generated Node #3: [29, 53] from Operation: 99-46=53
Current State: 24:[29, 53], Operations: ['94-65=29', '99-46=53']
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
26,
36,
35,
4
] | 93 | [
"26+36=62",
"35-4=31",
"62+31=93"
] | Current State: 93:[26, 36, 35, 4], Operations: []
Exploring Operation: 26+36=62, Resulting Numbers: [35, 4, 62]
Generated Node #2: [35, 4, 62] from Operation: 26+36=62
Current State: 93:[35, 4, 62], Operations: ['26+36=62']
Exploring Operation: 35-4=31, Resulting Numbers: [62, 31]
Generated Node #3: [62, 31] from Operation: 35-4=31
Current State: 93:[62, 31], Operations: ['26+36=62', '35-4=31']
Exploring Operation: 62+31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
46,
6,
47,
5
] | 55 | [
"46-6=40",
"40/5=8",
"47+8=55"
] | Current State: 55:[46, 6, 47, 5], Operations: []
Exploring Operation: 46-6=40, Resulting Numbers: [47, 5, 40]
Generated Node #2: [47, 5, 40] from Operation: 46-6=40
Current State: 55:[47, 5, 40], Operations: ['46-6=40']
Exploring Operation: 40/5=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 40/5=8
Current State: 55:[47, 8], Operations: ['46-6=40', '40/5=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
17,
53,
94,
62
] | 86 | [
"17+53=70",
"94+62=156",
"156-70=86"
] | Current State: 86:[17, 53, 94, 62], Operations: []
Exploring Operation: 17+53=70, Resulting Numbers: [94, 62, 70]
Generated Node #2: [94, 62, 70] from Operation: 17+53=70
Current State: 86:[94, 62, 70], Operations: ['17+53=70']
Exploring Operation: 94+62=156, Resulting Numbers: [70, 156]
Generated Node #3: [70, 156] from Operation: 94+62=156
Current State: 86:[70, 156], Operations: ['17+53=70', '94+62=156']
Exploring Operation: 156-70=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
9,
2,
82,
6
] | 69 | [
"9-2=7",
"82-6=76",
"76-7=69"
] | Current State: 69:[9, 2, 82, 6], Operations: []
Exploring Operation: 9-2=7, Resulting Numbers: [82, 6, 7]
Generated Node #2: [82, 6, 7] from Operation: 9-2=7
Current State: 69:[82, 6, 7], Operations: ['9-2=7']
Exploring Operation: 82-6=76, Resulting Numbers: [7, 76]
Generated Node #3: [7, 76] from Operation: 82-6=76
Current State: 69:[7, 76], Operations: ['9-2=7', '82-6=76']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
57,
99,
5,
1
] | 31 | [
"57+99=156",
"156-1=155",
"155/5=31"
] | Current State: 31:[57, 99, 5, 1], Operations: []
Exploring Operation: 57+99=156, Resulting Numbers: [5, 1, 156]
Generated Node #2: [5, 1, 156] from Operation: 57+99=156
Current State: 31:[5, 1, 156], Operations: ['57+99=156']
Exploring Operation: 156-1=155, Resulting Numbers: [5, 155]
Generated Node #3: [5, 155] from Operation: 156-1=155
Current State: 31:[5, 155], Operations: ['57+99=156', '156-1=155']
Exploring Operation: 155/5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
52,
16,
17,
6
] | 61 | [
"52-17=35",
"16*6=96",
"96-35=61"
] | Current State: 61:[52, 16, 17, 6], Operations: []
Exploring Operation: 52-17=35, Resulting Numbers: [16, 6, 35]
Generated Node #2: [16, 6, 35] from Operation: 52-17=35
Current State: 61:[16, 6, 35], Operations: ['52-17=35']
Exploring Operation: 16*6=96, Resulting Numbers: [35, 96]
Generated Node #3: [35, 96] from Operation: 16*6=96
Current State: 61:[35, 96], Operations: ['52-17=35', '16*6=96']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
85,
54,
77,
94
] | 91 | [
"85+77=162",
"162/54=3",
"94-3=91"
] | Current State: 91:[85, 54, 77, 94], Operations: []
Exploring Operation: 85+77=162, Resulting Numbers: [54, 94, 162]
Generated Node #2: [54, 94, 162] from Operation: 85+77=162
Current State: 91:[54, 94, 162], Operations: ['85+77=162']
Exploring Operation: 162/54=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 162/54=3
Current State: 91:[94, 3], Operations: ['85+77=162', '162/54=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
53,
49,
59,
32
] | 87 | [
"53-49=4",
"59+32=91",
"91-4=87"
] | Current State: 87:[53, 49, 59, 32], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [59, 32, 4]
Generated Node #2: [59, 32, 4] from Operation: 53-49=4
Current State: 87:[59, 32, 4], Operations: ['53-49=4']
Exploring Operation: 59+32=91, Resulting Numbers: [4, 91]
Generated Node #3: [4, 91] from Operation: 59+32=91
Current State: 87:[4, 91], Operations: ['53-49=4', '59+32=91']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
36,
34,
59,
35
] | 47 | [
"36-34=2",
"59+35=94",
"94/2=47"
] | Current State: 47:[36, 34, 59, 35], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [59, 35, 2]
Generated Node #2: [59, 35, 2] from Operation: 36-34=2
Current State: 47:[59, 35, 2], Operations: ['36-34=2']
Exploring Operation: 59+35=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 59+35=94
Current State: 47:[2, 94], Operations: ['36-34=2', '59+35=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
23,
96,
90,
45
] | 93 | [
"96-90=6",
"23*6=138",
"138-45=93"
] | Current State: 93:[23, 96, 90, 45], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [23, 45, 6]
Generated Node #2: [23, 45, 6] from Operation: 96-90=6
Current State: 93:[23, 45, 6], Operations: ['96-90=6']
Exploring Operation: 23*6=138, Resulting Numbers: [45, 138]
Generated Node #3: [45, 138] from Operation: 23*6=138
Current State: 93:[45, 138], Operations: ['96-90=6', '23*6=138']
Exploring Operation: 138-45=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
4,
45,
21
] | 26 | [
"4-2=2",
"45-21=24",
"2+24=26"
] | Current State: 26:[2, 4, 45, 21], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [45, 21, 2]
Generated Node #2: [45, 21, 2] from Operation: 4-2=2
Current State: 26:[45, 21, 2], Operations: ['4-2=2']
Exploring Operation: 45-21=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 45-21=24
Current State: 26:[2, 24], Operations: ['4-2=2', '45-21=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
8,
21,
25,
46
] | 97 | [
"8*21=168",
"25+46=71",
"168-71=97"
] | Current State: 97:[8, 21, 25, 46], Operations: []
Exploring Operation: 8*21=168, Resulting Numbers: [25, 46, 168]
Generated Node #2: [25, 46, 168] from Operation: 8*21=168
Current State: 97:[25, 46, 168], Operations: ['8*21=168']
Exploring Operation: 25+46=71, Resulting Numbers: [168, 71]
Generated Node #3: [168, 71] from Operation: 25+46=71
Current State: 97:[168, 71], Operations: ['8*21=168', '25+46=71']
Exploring Operation: 168-71=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
58,
38,
76,
36
] | 40 | [
"76-58=18",
"36/18=2",
"38+2=40"
] | Current State: 40:[58, 38, 76, 36], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [38, 36, 18]
Generated Node #2: [38, 36, 18] from Operation: 76-58=18
Current State: 40:[38, 36, 18], Operations: ['76-58=18']
Exploring Operation: 36/18=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 36/18=2
Current State: 40:[38, 2], Operations: ['76-58=18', '36/18=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
70,
27,
33,
56
] | 46 | [
"70-27=43",
"33+56=89",
"89-43=46"
] | Current State: 46:[70, 27, 33, 56], Operations: []
Exploring Operation: 70-27=43, Resulting Numbers: [33, 56, 43]
Generated Node #2: [33, 56, 43] from Operation: 70-27=43
Current State: 46:[33, 56, 43], Operations: ['70-27=43']
Exploring Operation: 33+56=89, Resulting Numbers: [43, 89]
Generated Node #3: [43, 89] from Operation: 33+56=89
Current State: 46:[43, 89], Operations: ['70-27=43', '33+56=89']
Exploring Operation: 89-43=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
49,
62,
18,
28
] | 30 | [
"49-18=31",
"62/31=2",
"28+2=30"
] | Current State: 30:[49, 62, 18, 28], Operations: []
Exploring Operation: 49-18=31, Resulting Numbers: [62, 28, 31]
Generated Node #2: [62, 28, 31] from Operation: 49-18=31
Current State: 30:[62, 28, 31], Operations: ['49-18=31']
Exploring Operation: 62/31=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 62/31=2
Current State: 30:[28, 2], Operations: ['49-18=31', '62/31=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
89,
6,
17,
42
] | 30 | [
"89-17=72",
"72/6=12",
"42-12=30"
] | Current State: 30:[89, 6, 17, 42], Operations: []
Exploring Operation: 89-17=72, Resulting Numbers: [6, 42, 72]
Generated Node #2: [6, 42, 72] from Operation: 89-17=72
Current State: 30:[6, 42, 72], Operations: ['89-17=72']
Exploring Operation: 72/6=12, Resulting Numbers: [42, 12]
Generated Node #3: [42, 12] from Operation: 72/6=12
Current State: 30:[42, 12], Operations: ['89-17=72', '72/6=12']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
75,
14,
76,
51
] | 11 | [
"76-51=25",
"75/25=3",
"14-3=11"
] | Current State: 11:[75, 14, 76, 51], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [75, 14, 25]
Generated Node #2: [75, 14, 25] from Operation: 76-51=25
Current State: 11:[75, 14, 25], Operations: ['76-51=25']
Exploring Operation: 75/25=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 75/25=3
Current State: 11:[14, 3], Operations: ['76-51=25', '75/25=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
58,
20,
13,
37
] | 31 | [
"58+20=78",
"78/13=6",
"37-6=31"
] | Current State: 31:[58, 20, 13, 37], Operations: []
Exploring Operation: 58+20=78, Resulting Numbers: [13, 37, 78]
Generated Node #2: [13, 37, 78] from Operation: 58+20=78
Current State: 31:[13, 37, 78], Operations: ['58+20=78']
Exploring Operation: 78/13=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 78/13=6
Current State: 31:[37, 6], Operations: ['58+20=78', '78/13=6']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
28,
72,
51,
18
] | 58 | [
"28*18=504",
"504/72=7",
"51+7=58"
] | Current State: 58:[28, 72, 51, 18], Operations: []
Exploring Operation: 28*18=504, Resulting Numbers: [72, 51, 504]
Generated Node #2: [72, 51, 504] from Operation: 28*18=504
Current State: 58:[72, 51, 504], Operations: ['28*18=504']
Exploring Operation: 504/72=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 504/72=7
Current State: 58:[51, 7], Operations: ['28*18=504', '504/72=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
5,
65,
3,
20
] | 23 | [
"20/5=4",
"65+4=69",
"69/3=23"
] | Current State: 23:[5, 65, 3, 20], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [65, 3, 4]
Generated Node #2: [65, 3, 4] from Operation: 20/5=4
Current State: 23:[65, 3, 4], Operations: ['20/5=4']
Exploring Operation: 65+4=69, Resulting Numbers: [3, 69]
Generated Node #3: [3, 69] from Operation: 65+4=69
Current State: 23:[3, 69], Operations: ['20/5=4', '65+4=69']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
34,
1,
52,
96
] | 77 | [
"34-1=33",
"96-52=44",
"33+44=77"
] | Current State: 77:[34, 1, 52, 96], Operations: []
Exploring Operation: 34-1=33, Resulting Numbers: [52, 96, 33]
Generated Node #2: [52, 96, 33] from Operation: 34-1=33
Current State: 77:[52, 96, 33], Operations: ['34-1=33']
Exploring Operation: 96-52=44, Resulting Numbers: [33, 44]
Generated Node #3: [33, 44] from Operation: 96-52=44
Current State: 77:[33, 44], Operations: ['34-1=33', '96-52=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
16,
87,
94,
25
] | 87 | [
"94-87=7",
"16*7=112",
"112-25=87"
] | Current State: 87:[16, 87, 94, 25], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [16, 25, 7]
Generated Node #2: [16, 25, 7] from Operation: 94-87=7
Current State: 87:[16, 25, 7], Operations: ['94-87=7']
Exploring Operation: 16*7=112, Resulting Numbers: [25, 112]
Generated Node #3: [25, 112] from Operation: 16*7=112
Current State: 87:[25, 112], Operations: ['94-87=7', '16*7=112']
Exploring Operation: 112-25=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
34,
17,
63,
98
] | 14 | [
"34/17=2",
"98/2=49",
"63-49=14"
] | Current State: 14:[34, 17, 63, 98], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [63, 98, 2]
Generated Node #2: [63, 98, 2] from Operation: 34/17=2
Current State: 14:[63, 98, 2], Operations: ['34/17=2']
Exploring Operation: 98/2=49, Resulting Numbers: [63, 49]
Generated Node #3: [63, 49] from Operation: 98/2=49
Current State: 14:[63, 49], Operations: ['34/17=2', '98/2=49']
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
49,
94,
7,
98
] | 11 | [
"49/7=7",
"98-94=4",
"7+4=11"
] | Current State: 11:[49, 94, 7, 98], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [94, 98, 7]
Generated Node #2: [94, 98, 7] from Operation: 49/7=7
Current State: 11:[94, 98, 7], Operations: ['49/7=7']
Exploring Operation: 98-94=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 98-94=4
Current State: 11:[7, 4], Operations: ['49/7=7', '98-94=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
99,
5,
83,
78
] | 99 | [
"99+5=104",
"83-78=5",
"104-5=99"
] | Current State: 99:[99, 5, 83, 78], Operations: []
Exploring Operation: 99+5=104, Resulting Numbers: [83, 78, 104]
Generated Node #2: [83, 78, 104] from Operation: 99+5=104
Current State: 99:[83, 78, 104], Operations: ['99+5=104']
Exploring Operation: 83-78=5, Resulting Numbers: [104, 5]
Generated Node #3: [104, 5] from Operation: 83-78=5
Current State: 99:[104, 5], Operations: ['99+5=104', '83-78=5']
Exploring Operation: 104-5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
57,
53,
82
] | 84 | [
"57+53=110",
"110-82=28",
"3*28=84"
] | Current State: 84:[3, 57, 53, 82], Operations: []
Exploring Operation: 57+53=110, Resulting Numbers: [3, 82, 110]
Generated Node #2: [3, 82, 110] from Operation: 57+53=110
Current State: 84:[3, 82, 110], Operations: ['57+53=110']
Exploring Operation: 110-82=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 110-82=28
Current State: 84:[3, 28], Operations: ['57+53=110', '110-82=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
18,
4,
4,
64
] | 64 | [
"4-4=0",
"18*0=0",
"64+0=64"
] | Current State: 64:[18, 4, 4, 64], Operations: []
Exploring Operation: 4-4=0, Resulting Numbers: [18, 64, 0]
Generated Node #2: [18, 64, 0] from Operation: 4-4=0
Current State: 64:[18, 64, 0], Operations: ['4-4=0']
Exploring Operation: 18*0=0, Resulting Numbers: [64, 0]
Generated Node #3: [64, 0] from Operation: 18*0=0
Current State: 64:[64, 0], Operations: ['4-4=0', '18*0=0']
Exploring Operation: 64+0=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
31,
17,
21,
11
] | 34 | [
"31+11=42",
"17*42=714",
"714/21=34"
] | Current State: 34:[31, 17, 21, 11], Operations: []
Exploring Operation: 31+11=42, Resulting Numbers: [17, 21, 42]
Generated Node #2: [17, 21, 42] from Operation: 31+11=42
Current State: 34:[17, 21, 42], Operations: ['31+11=42']
Exploring Operation: 17*42=714, Resulting Numbers: [21, 714]
Generated Node #3: [21, 714] from Operation: 17*42=714
Current State: 34:[21, 714], Operations: ['31+11=42', '17*42=714']
Exploring Operation: 714/21=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
60,
99,
9,
33
] | 17 | [
"60-9=51",
"99/33=3",
"51/3=17"
] | Current State: 17:[60, 99, 9, 33], Operations: []
Exploring Operation: 60-9=51, Resulting Numbers: [99, 33, 51]
Generated Node #2: [99, 33, 51] from Operation: 60-9=51
Current State: 17:[99, 33, 51], Operations: ['60-9=51']
Exploring Operation: 99/33=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 99/33=3
Current State: 17:[51, 3], Operations: ['60-9=51', '99/33=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
62,
12,
68,
86
] | 93 | [
"86-68=18",
"62*18=1116",
"1116/12=93"
] | Current State: 93:[62, 12, 68, 86], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [62, 12, 18]
Generated Node #2: [62, 12, 18] from Operation: 86-68=18
Current State: 93:[62, 12, 18], Operations: ['86-68=18']
Exploring Operation: 62*18=1116, Resulting Numbers: [12, 1116]
Generated Node #3: [12, 1116] from Operation: 62*18=1116
Current State: 93:[12, 1116], Operations: ['86-68=18', '62*18=1116']
Exploring Operation: 1116/12=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
93,
23,
71,
2
] | 67 | [
"93-71=22",
"2*22=44",
"23+44=67"
] | Current State: 67:[93, 23, 71, 2], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [23, 2, 22]
Generated Node #2: [23, 2, 22] from Operation: 93-71=22
Current State: 67:[23, 2, 22], Operations: ['93-71=22']
Exploring Operation: 2*22=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 2*22=44
Current State: 67:[23, 44], Operations: ['93-71=22', '2*22=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
53,
1,
38,
87
] | 73 | [
"53-1=52",
"38+87=125",
"125-52=73"
] | Current State: 73:[53, 1, 38, 87], Operations: []
Exploring Operation: 53-1=52, Resulting Numbers: [38, 87, 52]
Generated Node #2: [38, 87, 52] from Operation: 53-1=52
Current State: 73:[38, 87, 52], Operations: ['53-1=52']
Exploring Operation: 38+87=125, Resulting Numbers: [52, 125]
Generated Node #3: [52, 125] from Operation: 38+87=125
Current State: 73:[52, 125], Operations: ['53-1=52', '38+87=125']
Exploring Operation: 125-52=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
6,
44,
6,
16
] | 24 | [
"6*6=36",
"44+16=60",
"60-36=24"
] | Current State: 24:[6, 44, 6, 16], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [44, 16, 36]
Generated Node #2: [44, 16, 36] from Operation: 6*6=36
Current State: 24:[44, 16, 36], Operations: ['6*6=36']
Exploring Operation: 44+16=60, Resulting Numbers: [36, 60]
Generated Node #3: [36, 60] from Operation: 44+16=60
Current State: 24:[36, 60], Operations: ['6*6=36', '44+16=60']
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
13,
65,
60,
11
] | 19 | [
"65-13=52",
"60+11=71",
"71-52=19"
] | Current State: 19:[13, 65, 60, 11], Operations: []
Exploring Operation: 65-13=52, Resulting Numbers: [60, 11, 52]
Generated Node #2: [60, 11, 52] from Operation: 65-13=52
Current State: 19:[60, 11, 52], Operations: ['65-13=52']
Exploring Operation: 60+11=71, Resulting Numbers: [52, 71]
Generated Node #3: [52, 71] from Operation: 60+11=71
Current State: 19:[52, 71], Operations: ['65-13=52', '60+11=71']
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
3,
59,
96,
68
] | 11 | [
"3+96=99",
"68-59=9",
"99/9=11"
] | Current State: 11:[3, 59, 96, 68], Operations: []
Exploring Operation: 3+96=99, Resulting Numbers: [59, 68, 99]
Generated Node #2: [59, 68, 99] from Operation: 3+96=99
Current State: 11:[59, 68, 99], Operations: ['3+96=99']
Exploring Operation: 68-59=9, Resulting Numbers: [99, 9]
Generated Node #3: [99, 9] from Operation: 68-59=9
Current State: 11:[99, 9], Operations: ['3+96=99', '68-59=9']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
59,
71,
98,
85
] | 10 | [
"59+71=130",
"98-85=13",
"130/13=10"
] | Current State: 10:[59, 71, 98, 85], Operations: []
Exploring Operation: 59+71=130, Resulting Numbers: [98, 85, 130]
Generated Node #2: [98, 85, 130] from Operation: 59+71=130
Current State: 10:[98, 85, 130], Operations: ['59+71=130']
Exploring Operation: 98-85=13, Resulting Numbers: [130, 13]
Generated Node #3: [130, 13] from Operation: 98-85=13
Current State: 10:[130, 13], Operations: ['59+71=130', '98-85=13']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
42,
5,
70,
77
] | 49 | [
"77-42=35",
"70/5=14",
"35+14=49"
] | Current State: 49:[42, 5, 70, 77], Operations: []
Exploring Operation: 77-42=35, Resulting Numbers: [5, 70, 35]
Generated Node #2: [5, 70, 35] from Operation: 77-42=35
Current State: 49:[5, 70, 35], Operations: ['77-42=35']
Exploring Operation: 70/5=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 70/5=14
Current State: 49:[35, 14], Operations: ['77-42=35', '70/5=14']
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
48,
2,
63,
42
] | 16 | [
"48/2=24",
"42*24=1008",
"1008/63=16"
] | Current State: 16:[48, 2, 63, 42], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [63, 42, 24]
Generated Node #2: [63, 42, 24] from Operation: 48/2=24
Current State: 16:[63, 42, 24], Operations: ['48/2=24']
Exploring Operation: 42*24=1008, Resulting Numbers: [63, 1008]
Generated Node #3: [63, 1008] from Operation: 42*24=1008
Current State: 16:[63, 1008], Operations: ['48/2=24', '42*24=1008']
Exploring Operation: 1008/63=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
14,
48,
52,
33
] | 46 | [
"14+52=66",
"66/33=2",
"48-2=46"
] | Current State: 46:[14, 48, 52, 33], Operations: []
Exploring Operation: 14+52=66, Resulting Numbers: [48, 33, 66]
Generated Node #2: [48, 33, 66] from Operation: 14+52=66
Current State: 46:[48, 33, 66], Operations: ['14+52=66']
Exploring Operation: 66/33=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 66/33=2
Current State: 46:[48, 2], Operations: ['14+52=66', '66/33=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
33,
30,
73,
63
] | 99 | [
"33*30=990",
"73-63=10",
"990/10=99"
] | Current State: 99:[33, 30, 73, 63], Operations: []
Exploring Operation: 33*30=990, Resulting Numbers: [73, 63, 990]
Generated Node #2: [73, 63, 990] from Operation: 33*30=990
Current State: 99:[73, 63, 990], Operations: ['33*30=990']
Exploring Operation: 73-63=10, Resulting Numbers: [990, 10]
Generated Node #3: [990, 10] from Operation: 73-63=10
Current State: 99:[990, 10], Operations: ['33*30=990', '73-63=10']
Exploring Operation: 990/10=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
62,
31,
36,
52
] | 20 | [
"62/31=2",
"36*2=72",
"72-52=20"
] | Current State: 20:[62, 31, 36, 52], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [36, 52, 2]
Generated Node #2: [36, 52, 2] from Operation: 62/31=2
Current State: 20:[36, 52, 2], Operations: ['62/31=2']
Exploring Operation: 36*2=72, Resulting Numbers: [52, 72]
Generated Node #3: [52, 72] from Operation: 36*2=72
Current State: 20:[52, 72], Operations: ['62/31=2', '36*2=72']
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
84,
38,
52,
88
] | 78 | [
"38+88=126",
"52*126=6552",
"6552/84=78"
] | Current State: 78:[84, 38, 52, 88], Operations: []
Exploring Operation: 38+88=126, Resulting Numbers: [84, 52, 126]
Generated Node #2: [84, 52, 126] from Operation: 38+88=126
Current State: 78:[84, 52, 126], Operations: ['38+88=126']
Exploring Operation: 52*126=6552, Resulting Numbers: [84, 6552]
Generated Node #3: [84, 6552] from Operation: 52*126=6552
Current State: 78:[84, 6552], Operations: ['38+88=126', '52*126=6552']
Exploring Operation: 6552/84=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
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