nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
13,
81,
65,
13
] | 76 | [
"13*81=1053",
"1053-65=988",
"988/13=76"
] | Current State: 76:[13, 81, 65, 13], Operations: []
Exploring Operation: 13*81=1053, Resulting Numbers: [65, 1053]
Generated Node #2: [65, 1053] from Operation: 13*81=1053
Current State: 76:[65, 1053], Operations: ['13*81=1053']
Exploring Operation: 1053-65=988, Resulting Numbers: [988]
988,76 equal: Goal Reached
Exploring Operation: 988/13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
79,
17,
35,
16
] | 11 | [
"79-17=62",
"35+16=51",
"62-51=11"
] | Current State: 11:[79, 17, 35, 16], Operations: []
Exploring Operation: 79-17=62, Resulting Numbers: [35, 16, 62]
Generated Node #2: [35, 16, 62] from Operation: 79-17=62
Current State: 11:[35, 16, 62], Operations: ['79-17=62']
Exploring Operation: 35+16=51, Resulting Numbers: [62, 51]
Generated Node #3: [62, 51] from Operation: 35+16=51
Current State: 11:[62, 51], Operations: ['79-17=62', '35+16=51']
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
98,
97,
3,
32
] | 75 | [
"98-32=66",
"66/3=22",
"97-22=75"
] | Current State: 75:[98, 97, 3, 32], Operations: []
Exploring Operation: 98-32=66, Resulting Numbers: [97, 3, 66]
Generated Node #2: [97, 3, 66] from Operation: 98-32=66
Current State: 75:[97, 3, 66], Operations: ['98-32=66']
Exploring Operation: 66/3=22, Resulting Numbers: [97, 22]
Generated Node #3: [97, 22] from Operation: 66/3=22
Current State: 75:[97, 22], Operations: ['98-32=66', '66/3=22']
Exploring Operation: 97-22=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
84,
2,
82,
21
] | 17 | [
"84+2=86",
"82+21=103",
"103-86=17"
] | Current State: 17:[84, 2, 82, 21], Operations: []
Exploring Operation: 84+2=86, Resulting Numbers: [82, 21, 86]
Generated Node #2: [82, 21, 86] from Operation: 84+2=86
Current State: 17:[82, 21, 86], Operations: ['84+2=86']
Exploring Operation: 82+21=103, Resulting Numbers: [86, 103]
Generated Node #3: [86, 103] from Operation: 82+21=103
Current State: 17:[86, 103], Operations: ['84+2=86', '82+21=103']
Exploring Operation: 103-86=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
77,
65,
42,
98
] | 86 | [
"77+65=142",
"98-42=56",
"142-56=86"
] | Current State: 86:[77, 65, 42, 98], Operations: []
Exploring Operation: 77+65=142, Resulting Numbers: [42, 98, 142]
Generated Node #2: [42, 98, 142] from Operation: 77+65=142
Current State: 86:[42, 98, 142], Operations: ['77+65=142']
Exploring Operation: 98-42=56, Resulting Numbers: [142, 56]
Generated Node #3: [142, 56] from Operation: 98-42=56
Current State: 86:[142, 56], Operations: ['77+65=142', '98-42=56']
Exploring Operation: 142-56=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
38,
43,
76,
3
] | 15 | [
"38+43=81",
"81-76=5",
"3*5=15"
] | Current State: 15:[38, 43, 76, 3], Operations: []
Exploring Operation: 38+43=81, Resulting Numbers: [76, 3, 81]
Generated Node #2: [76, 3, 81] from Operation: 38+43=81
Current State: 15:[76, 3, 81], Operations: ['38+43=81']
Exploring Operation: 81-76=5, Resulting Numbers: [3, 5]
Generated Node #3: [3, 5] from Operation: 81-76=5
Current State: 15:[3, 5], Operations: ['38+43=81', '81-76=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
50,
87,
81,
46
] | 48 | [
"50*81=4050",
"87*46=4002",
"4050-4002=48"
] | Current State: 48:[50, 87, 81, 46], Operations: []
Exploring Operation: 50*81=4050, Resulting Numbers: [87, 46, 4050]
Generated Node #2: [87, 46, 4050] from Operation: 50*81=4050
Current State: 48:[87, 46, 4050], Operations: ['50*81=4050']
Exploring Operation: 87*46=4002, Resulting Numbers: [4050, 4002]
Generated Node #3: [4050, 4002] from Operation: 87*46=4002
Current State: 48:[4050, 4002], Operations: ['50*81=4050', '87*46=4002']
Exploring Operation: 4050-4002=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
48,
93,
4,
9
] | 63 | [
"48-9=39",
"4*39=156",
"156-93=63"
] | Current State: 63:[48, 93, 4, 9], Operations: []
Exploring Operation: 48-9=39, Resulting Numbers: [93, 4, 39]
Generated Node #2: [93, 4, 39] from Operation: 48-9=39
Current State: 63:[93, 4, 39], Operations: ['48-9=39']
Exploring Operation: 4*39=156, Resulting Numbers: [93, 156]
Generated Node #3: [93, 156] from Operation: 4*39=156
Current State: 63:[93, 156], Operations: ['48-9=39', '4*39=156']
Exploring Operation: 156-93=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
49,
42,
46,
26
] | 44 | [
"49-26=23",
"46/23=2",
"42+2=44"
] | Current State: 44:[49, 42, 46, 26], Operations: []
Exploring Operation: 49-26=23, Resulting Numbers: [42, 46, 23]
Generated Node #2: [42, 46, 23] from Operation: 49-26=23
Current State: 44:[42, 46, 23], Operations: ['49-26=23']
Exploring Operation: 46/23=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 46/23=2
Current State: 44:[42, 2], Operations: ['49-26=23', '46/23=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
9,
29,
27,
32
] | 97 | [
"9+29=38",
"27+32=59",
"38+59=97"
] | Current State: 97:[9, 29, 27, 32], Operations: []
Exploring Operation: 9+29=38, Resulting Numbers: [27, 32, 38]
Generated Node #2: [27, 32, 38] from Operation: 9+29=38
Current State: 97:[27, 32, 38], Operations: ['9+29=38']
Exploring Operation: 27+32=59, Resulting Numbers: [38, 59]
Generated Node #3: [38, 59] from Operation: 27+32=59
Current State: 97:[38, 59], Operations: ['9+29=38', '27+32=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
46,
28,
49,
54
] | 90 | [
"46-28=18",
"54-49=5",
"18*5=90"
] | Current State: 90:[46, 28, 49, 54], Operations: []
Exploring Operation: 46-28=18, Resulting Numbers: [49, 54, 18]
Generated Node #2: [49, 54, 18] from Operation: 46-28=18
Current State: 90:[49, 54, 18], Operations: ['46-28=18']
Exploring Operation: 54-49=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 54-49=5
Current State: 90:[18, 5], Operations: ['46-28=18', '54-49=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
52,
54,
87,
67
] | 18 | [
"54-52=2",
"87-67=20",
"20-2=18"
] | Current State: 18:[52, 54, 87, 67], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [87, 67, 2]
Generated Node #2: [87, 67, 2] from Operation: 54-52=2
Current State: 18:[87, 67, 2], Operations: ['54-52=2']
Exploring Operation: 87-67=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 87-67=20
Current State: 18:[2, 20], Operations: ['54-52=2', '87-67=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
93,
97,
4,
5
] | 59 | [
"97*4=388",
"388-93=295",
"295/5=59"
] | Current State: 59:[93, 97, 4, 5], Operations: []
Exploring Operation: 97*4=388, Resulting Numbers: [93, 5, 388]
Generated Node #2: [93, 5, 388] from Operation: 97*4=388
Current State: 59:[93, 5, 388], Operations: ['97*4=388']
Exploring Operation: 388-93=295, Resulting Numbers: [5, 295]
Generated Node #3: [5, 295] from Operation: 388-93=295
Current State: 59:[5, 295], Operations: ['97*4=388', '388-93=295']
Exploring Operation: 295/5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
58,
56,
58,
40
] | 49 | [
"58-56=2",
"58+40=98",
"98/2=49"
] | Current State: 49:[58, 56, 58, 40], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [40, 2]
Generated Node #2: [40, 2] from Operation: 58-56=2
Current State: 49:[40, 2], Operations: ['58-56=2']
Exploring Operation: 58+40=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 58+40=98
Current State: 49:[2, 98], Operations: ['58-56=2', '58+40=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
54,
96,
16
] | 26 | [
"96/8=12",
"54-16=38",
"38-12=26"
] | Current State: 26:[8, 54, 96, 16], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [54, 16, 12]
Generated Node #2: [54, 16, 12] from Operation: 96/8=12
Current State: 26:[54, 16, 12], Operations: ['96/8=12']
Exploring Operation: 54-16=38, Resulting Numbers: [12, 38]
Generated Node #3: [12, 38] from Operation: 54-16=38
Current State: 26:[12, 38], Operations: ['96/8=12', '54-16=38']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
52,
98,
42,
56
] | 53 | [
"98-42=56",
"56/56=1",
"52+1=53"
] | Current State: 53:[52, 98, 42, 56], Operations: []
Exploring Operation: 98-42=56, Resulting Numbers: [52, 56, 56]
Generated Node #2: [52, 56, 56] from Operation: 98-42=56
Current State: 53:[52, 56, 56], Operations: ['98-42=56']
Exploring Operation: 56/56=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 56/56=1
Current State: 53:[52, 1], Operations: ['98-42=56', '56/56=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
88,
3,
87,
36
] | 23 | [
"88-36=52",
"87/3=29",
"52-29=23"
] | Current State: 23:[88, 3, 87, 36], Operations: []
Exploring Operation: 88-36=52, Resulting Numbers: [3, 87, 52]
Generated Node #2: [3, 87, 52] from Operation: 88-36=52
Current State: 23:[3, 87, 52], Operations: ['88-36=52']
Exploring Operation: 87/3=29, Resulting Numbers: [52, 29]
Generated Node #3: [52, 29] from Operation: 87/3=29
Current State: 23:[52, 29], Operations: ['88-36=52', '87/3=29']
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
76,
86,
5,
80
] | 13 | [
"86-76=10",
"80/10=8",
"5+8=13"
] | Current State: 13:[76, 86, 5, 80], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [5, 80, 10]
Generated Node #2: [5, 80, 10] from Operation: 86-76=10
Current State: 13:[5, 80, 10], Operations: ['86-76=10']
Exploring Operation: 80/10=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 80/10=8
Current State: 13:[5, 8], Operations: ['86-76=10', '80/10=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
79,
71,
46,
31
] | 23 | [
"79-71=8",
"46-31=15",
"8+15=23"
] | Current State: 23:[79, 71, 46, 31], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [46, 31, 8]
Generated Node #2: [46, 31, 8] from Operation: 79-71=8
Current State: 23:[46, 31, 8], Operations: ['79-71=8']
Exploring Operation: 46-31=15, Resulting Numbers: [8, 15]
Generated Node #3: [8, 15] from Operation: 46-31=15
Current State: 23:[8, 15], Operations: ['79-71=8', '46-31=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
61,
91,
68,
25
] | 84 | [
"68-61=7",
"25*7=175",
"175-91=84"
] | Current State: 84:[61, 91, 68, 25], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [91, 25, 7]
Generated Node #2: [91, 25, 7] from Operation: 68-61=7
Current State: 84:[91, 25, 7], Operations: ['68-61=7']
Exploring Operation: 25*7=175, Resulting Numbers: [91, 175]
Generated Node #3: [91, 175] from Operation: 25*7=175
Current State: 84:[91, 175], Operations: ['68-61=7', '25*7=175']
Exploring Operation: 175-91=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
4,
72,
87,
60
] | 45 | [
"72/4=18",
"87-60=27",
"18+27=45"
] | Current State: 45:[4, 72, 87, 60], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [87, 60, 18]
Generated Node #2: [87, 60, 18] from Operation: 72/4=18
Current State: 45:[87, 60, 18], Operations: ['72/4=18']
Exploring Operation: 87-60=27, Resulting Numbers: [18, 27]
Generated Node #3: [18, 27] from Operation: 87-60=27
Current State: 45:[18, 27], Operations: ['72/4=18', '87-60=27']
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
26,
3,
74,
33
] | 11 | [
"33-26=7",
"3+74=77",
"77/7=11"
] | Current State: 11:[26, 3, 74, 33], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [3, 74, 7]
Generated Node #2: [3, 74, 7] from Operation: 33-26=7
Current State: 11:[3, 74, 7], Operations: ['33-26=7']
Exploring Operation: 3+74=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 3+74=77
Current State: 11:[7, 77], Operations: ['33-26=7', '3+74=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
64,
19,
57,
16
] | 45 | [
"64-16=48",
"57/19=3",
"48-3=45"
] | Current State: 45:[64, 19, 57, 16], Operations: []
Exploring Operation: 64-16=48, Resulting Numbers: [19, 57, 48]
Generated Node #2: [19, 57, 48] from Operation: 64-16=48
Current State: 45:[19, 57, 48], Operations: ['64-16=48']
Exploring Operation: 57/19=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 57/19=3
Current State: 45:[48, 3], Operations: ['64-16=48', '57/19=3']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
54,
17,
63,
41
] | 93 | [
"54+17=71",
"63-41=22",
"71+22=93"
] | Current State: 93:[54, 17, 63, 41], Operations: []
Exploring Operation: 54+17=71, Resulting Numbers: [63, 41, 71]
Generated Node #2: [63, 41, 71] from Operation: 54+17=71
Current State: 93:[63, 41, 71], Operations: ['54+17=71']
Exploring Operation: 63-41=22, Resulting Numbers: [71, 22]
Generated Node #3: [71, 22] from Operation: 63-41=22
Current State: 93:[71, 22], Operations: ['54+17=71', '63-41=22']
Exploring Operation: 71+22=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
5,
88,
84,
90
] | 70 | [
"88-84=4",
"5*4=20",
"90-20=70"
] | Current State: 70:[5, 88, 84, 90], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [5, 90, 4]
Generated Node #2: [5, 90, 4] from Operation: 88-84=4
Current State: 70:[5, 90, 4], Operations: ['88-84=4']
Exploring Operation: 5*4=20, Resulting Numbers: [90, 20]
Generated Node #3: [90, 20] from Operation: 5*4=20
Current State: 70:[90, 20], Operations: ['88-84=4', '5*4=20']
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
87,
54,
32,
75
] | 29 | [
"87+75=162",
"162/54=3",
"32-3=29"
] | Current State: 29:[87, 54, 32, 75], Operations: []
Exploring Operation: 87+75=162, Resulting Numbers: [54, 32, 162]
Generated Node #2: [54, 32, 162] from Operation: 87+75=162
Current State: 29:[54, 32, 162], Operations: ['87+75=162']
Exploring Operation: 162/54=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 162/54=3
Current State: 29:[32, 3], Operations: ['87+75=162', '162/54=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
99,
92,
87,
85
] | 82 | [
"92-87=5",
"85/5=17",
"99-17=82"
] | Current State: 82:[99, 92, 87, 85], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [99, 85, 5]
Generated Node #2: [99, 85, 5] from Operation: 92-87=5
Current State: 82:[99, 85, 5], Operations: ['92-87=5']
Exploring Operation: 85/5=17, Resulting Numbers: [99, 17]
Generated Node #3: [99, 17] from Operation: 85/5=17
Current State: 82:[99, 17], Operations: ['92-87=5', '85/5=17']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
96,
5,
44,
27
] | 84 | [
"96+5=101",
"44-27=17",
"101-17=84"
] | Current State: 84:[96, 5, 44, 27], Operations: []
Exploring Operation: 96+5=101, Resulting Numbers: [44, 27, 101]
Generated Node #2: [44, 27, 101] from Operation: 96+5=101
Current State: 84:[44, 27, 101], Operations: ['96+5=101']
Exploring Operation: 44-27=17, Resulting Numbers: [101, 17]
Generated Node #3: [101, 17] from Operation: 44-27=17
Current State: 84:[101, 17], Operations: ['96+5=101', '44-27=17']
Exploring Operation: 101-17=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
88,
99,
86,
34
] | 41 | [
"99-88=11",
"86-34=52",
"52-11=41"
] | Current State: 41:[88, 99, 86, 34], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [86, 34, 11]
Generated Node #2: [86, 34, 11] from Operation: 99-88=11
Current State: 41:[86, 34, 11], Operations: ['99-88=11']
Exploring Operation: 86-34=52, Resulting Numbers: [11, 52]
Generated Node #3: [11, 52] from Operation: 86-34=52
Current State: 41:[11, 52], Operations: ['99-88=11', '86-34=52']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
3,
60,
70,
97
] | 30 | [
"60-3=57",
"97-70=27",
"57-27=30"
] | Current State: 30:[3, 60, 70, 97], Operations: []
Exploring Operation: 60-3=57, Resulting Numbers: [70, 97, 57]
Generated Node #2: [70, 97, 57] from Operation: 60-3=57
Current State: 30:[70, 97, 57], Operations: ['60-3=57']
Exploring Operation: 97-70=27, Resulting Numbers: [57, 27]
Generated Node #3: [57, 27] from Operation: 97-70=27
Current State: 30:[57, 27], Operations: ['60-3=57', '97-70=27']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
42,
84,
71,
11
] | 18 | [
"84-42=42",
"71-11=60",
"60-42=18"
] | Current State: 18:[42, 84, 71, 11], Operations: []
Exploring Operation: 84-42=42, Resulting Numbers: [71, 11, 42]
Generated Node #2: [71, 11, 42] from Operation: 84-42=42
Current State: 18:[71, 11, 42], Operations: ['84-42=42']
Exploring Operation: 71-11=60, Resulting Numbers: [42, 60]
Generated Node #3: [42, 60] from Operation: 71-11=60
Current State: 18:[42, 60], Operations: ['84-42=42', '71-11=60']
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
60,
2,
22,
78
] | 81 | [
"22-2=20",
"60/20=3",
"78+3=81"
] | Current State: 81:[60, 2, 22, 78], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [60, 78, 20]
Generated Node #2: [60, 78, 20] from Operation: 22-2=20
Current State: 81:[60, 78, 20], Operations: ['22-2=20']
Exploring Operation: 60/20=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 60/20=3
Current State: 81:[78, 3], Operations: ['22-2=20', '60/20=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
39,
44,
47,
8
] | 15 | [
"47-44=3",
"8*3=24",
"39-24=15"
] | Current State: 15:[39, 44, 47, 8], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [39, 8, 3]
Generated Node #2: [39, 8, 3] from Operation: 47-44=3
Current State: 15:[39, 8, 3], Operations: ['47-44=3']
Exploring Operation: 8*3=24, Resulting Numbers: [39, 24]
Generated Node #3: [39, 24] from Operation: 8*3=24
Current State: 15:[39, 24], Operations: ['47-44=3', '8*3=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
20,
53,
34,
22
] | 61 | [
"20+53=73",
"34-22=12",
"73-12=61"
] | Current State: 61:[20, 53, 34, 22], Operations: []
Exploring Operation: 20+53=73, Resulting Numbers: [34, 22, 73]
Generated Node #2: [34, 22, 73] from Operation: 20+53=73
Current State: 61:[34, 22, 73], Operations: ['20+53=73']
Exploring Operation: 34-22=12, Resulting Numbers: [73, 12]
Generated Node #3: [73, 12] from Operation: 34-22=12
Current State: 61:[73, 12], Operations: ['20+53=73', '34-22=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
73,
51,
46,
37
] | 61 | [
"73-51=22",
"46+37=83",
"83-22=61"
] | Current State: 61:[73, 51, 46, 37], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [46, 37, 22]
Generated Node #2: [46, 37, 22] from Operation: 73-51=22
Current State: 61:[46, 37, 22], Operations: ['73-51=22']
Exploring Operation: 46+37=83, Resulting Numbers: [22, 83]
Generated Node #3: [22, 83] from Operation: 46+37=83
Current State: 61:[22, 83], Operations: ['73-51=22', '46+37=83']
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
79,
62,
21,
72
] | 59 | [
"79-72=7",
"21/7=3",
"62-3=59"
] | Current State: 59:[79, 62, 21, 72], Operations: []
Exploring Operation: 79-72=7, Resulting Numbers: [62, 21, 7]
Generated Node #2: [62, 21, 7] from Operation: 79-72=7
Current State: 59:[62, 21, 7], Operations: ['79-72=7']
Exploring Operation: 21/7=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 21/7=3
Current State: 59:[62, 3], Operations: ['79-72=7', '21/7=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
21,
17,
20,
84
] | 60 | [
"21-17=4",
"84-20=64",
"64-4=60"
] | Current State: 60:[21, 17, 20, 84], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [20, 84, 4]
Generated Node #2: [20, 84, 4] from Operation: 21-17=4
Current State: 60:[20, 84, 4], Operations: ['21-17=4']
Exploring Operation: 84-20=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 84-20=64
Current State: 60:[4, 64], Operations: ['21-17=4', '84-20=64']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
8,
67,
33,
48
] | 74 | [
"67-8=59",
"48-33=15",
"59+15=74"
] | Current State: 74:[8, 67, 33, 48], Operations: []
Exploring Operation: 67-8=59, Resulting Numbers: [33, 48, 59]
Generated Node #2: [33, 48, 59] from Operation: 67-8=59
Current State: 74:[33, 48, 59], Operations: ['67-8=59']
Exploring Operation: 48-33=15, Resulting Numbers: [59, 15]
Generated Node #3: [59, 15] from Operation: 48-33=15
Current State: 74:[59, 15], Operations: ['67-8=59', '48-33=15']
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
56,
90,
90,
20
] | 77 | [
"56+20=76",
"90/90=1",
"76+1=77"
] | Current State: 77:[56, 90, 90, 20], Operations: []
Exploring Operation: 56+20=76, Resulting Numbers: [90, 90, 76]
Generated Node #2: [90, 90, 76] from Operation: 56+20=76
Current State: 77:[90, 90, 76], Operations: ['56+20=76']
Exploring Operation: 90/90=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 90/90=1
Current State: 77:[76, 1], Operations: ['56+20=76', '90/90=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
40,
5,
65,
36
] | 63 | [
"40+36=76",
"65/5=13",
"76-13=63"
] | Current State: 63:[40, 5, 65, 36], Operations: []
Exploring Operation: 40+36=76, Resulting Numbers: [5, 65, 76]
Generated Node #2: [5, 65, 76] from Operation: 40+36=76
Current State: 63:[5, 65, 76], Operations: ['40+36=76']
Exploring Operation: 65/5=13, Resulting Numbers: [76, 13]
Generated Node #3: [76, 13] from Operation: 65/5=13
Current State: 63:[76, 13], Operations: ['40+36=76', '65/5=13']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
66,
16,
81,
68
] | 63 | [
"66-16=50",
"81-68=13",
"50+13=63"
] | Current State: 63:[66, 16, 81, 68], Operations: []
Exploring Operation: 66-16=50, Resulting Numbers: [81, 68, 50]
Generated Node #2: [81, 68, 50] from Operation: 66-16=50
Current State: 63:[81, 68, 50], Operations: ['66-16=50']
Exploring Operation: 81-68=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 81-68=13
Current State: 63:[50, 13], Operations: ['66-16=50', '81-68=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
45,
65,
5,
59
] | 46 | [
"45+65=110",
"5+59=64",
"110-64=46"
] | Current State: 46:[45, 65, 5, 59], Operations: []
Exploring Operation: 45+65=110, Resulting Numbers: [5, 59, 110]
Generated Node #2: [5, 59, 110] from Operation: 45+65=110
Current State: 46:[5, 59, 110], Operations: ['45+65=110']
Exploring Operation: 5+59=64, Resulting Numbers: [110, 64]
Generated Node #3: [110, 64] from Operation: 5+59=64
Current State: 46:[110, 64], Operations: ['45+65=110', '5+59=64']
Exploring Operation: 110-64=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
35,
5,
17,
30
] | 16 | [
"35-5=30",
"30/30=1",
"17-1=16"
] | Current State: 16:[35, 5, 17, 30], Operations: []
Exploring Operation: 35-5=30, Resulting Numbers: [17, 30, 30]
Generated Node #2: [17, 30, 30] from Operation: 35-5=30
Current State: 16:[17, 30, 30], Operations: ['35-5=30']
Exploring Operation: 30/30=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 30/30=1
Current State: 16:[17, 1], Operations: ['35-5=30', '30/30=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
13,
21,
63,
39
] | 49 | [
"13+39=52",
"63/21=3",
"52-3=49"
] | Current State: 49:[13, 21, 63, 39], Operations: []
Exploring Operation: 13+39=52, Resulting Numbers: [21, 63, 52]
Generated Node #2: [21, 63, 52] from Operation: 13+39=52
Current State: 49:[21, 63, 52], Operations: ['13+39=52']
Exploring Operation: 63/21=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 63/21=3
Current State: 49:[52, 3], Operations: ['13+39=52', '63/21=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
3,
69,
34
] | 49 | [
"17-3=14",
"69-34=35",
"14+35=49"
] | Current State: 49:[17, 3, 69, 34], Operations: []
Exploring Operation: 17-3=14, Resulting Numbers: [69, 34, 14]
Generated Node #2: [69, 34, 14] from Operation: 17-3=14
Current State: 49:[69, 34, 14], Operations: ['17-3=14']
Exploring Operation: 69-34=35, Resulting Numbers: [14, 35]
Generated Node #3: [14, 35] from Operation: 69-34=35
Current State: 49:[14, 35], Operations: ['17-3=14', '69-34=35']
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
67,
50,
42,
79
] | 54 | [
"67-50=17",
"79-42=37",
"17+37=54"
] | Current State: 54:[67, 50, 42, 79], Operations: []
Exploring Operation: 67-50=17, Resulting Numbers: [42, 79, 17]
Generated Node #2: [42, 79, 17] from Operation: 67-50=17
Current State: 54:[42, 79, 17], Operations: ['67-50=17']
Exploring Operation: 79-42=37, Resulting Numbers: [17, 37]
Generated Node #3: [17, 37] from Operation: 79-42=37
Current State: 54:[17, 37], Operations: ['67-50=17', '79-42=37']
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
56,
79,
49,
5
] | 58 | [
"56+49=105",
"105/5=21",
"79-21=58"
] | Current State: 58:[56, 79, 49, 5], Operations: []
Exploring Operation: 56+49=105, Resulting Numbers: [79, 5, 105]
Generated Node #2: [79, 5, 105] from Operation: 56+49=105
Current State: 58:[79, 5, 105], Operations: ['56+49=105']
Exploring Operation: 105/5=21, Resulting Numbers: [79, 21]
Generated Node #3: [79, 21] from Operation: 105/5=21
Current State: 58:[79, 21], Operations: ['56+49=105', '105/5=21']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
73,
55,
3,
98
] | 66 | [
"73*3=219",
"55+98=153",
"219-153=66"
] | Current State: 66:[73, 55, 3, 98], Operations: []
Exploring Operation: 73*3=219, Resulting Numbers: [55, 98, 219]
Generated Node #2: [55, 98, 219] from Operation: 73*3=219
Current State: 66:[55, 98, 219], Operations: ['73*3=219']
Exploring Operation: 55+98=153, Resulting Numbers: [219, 153]
Generated Node #3: [219, 153] from Operation: 55+98=153
Current State: 66:[219, 153], Operations: ['73*3=219', '55+98=153']
Exploring Operation: 219-153=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
29,
3,
12,
86
] | 53 | [
"86-29=57",
"12/3=4",
"57-4=53"
] | Current State: 53:[29, 3, 12, 86], Operations: []
Exploring Operation: 86-29=57, Resulting Numbers: [3, 12, 57]
Generated Node #2: [3, 12, 57] from Operation: 86-29=57
Current State: 53:[3, 12, 57], Operations: ['86-29=57']
Exploring Operation: 12/3=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 12/3=4
Current State: 53:[57, 4], Operations: ['86-29=57', '12/3=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
9,
27,
20,
10
] | 45 | [
"9*20=180",
"180/10=18",
"27+18=45"
] | Current State: 45:[9, 27, 20, 10], Operations: []
Exploring Operation: 9*20=180, Resulting Numbers: [27, 10, 180]
Generated Node #2: [27, 10, 180] from Operation: 9*20=180
Current State: 45:[27, 10, 180], Operations: ['9*20=180']
Exploring Operation: 180/10=18, Resulting Numbers: [27, 18]
Generated Node #3: [27, 18] from Operation: 180/10=18
Current State: 45:[27, 18], Operations: ['9*20=180', '180/10=18']
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
38,
53,
22,
33
] | 36 | [
"38+53=91",
"22+33=55",
"91-55=36"
] | Current State: 36:[38, 53, 22, 33], Operations: []
Exploring Operation: 38+53=91, Resulting Numbers: [22, 33, 91]
Generated Node #2: [22, 33, 91] from Operation: 38+53=91
Current State: 36:[22, 33, 91], Operations: ['38+53=91']
Exploring Operation: 22+33=55, Resulting Numbers: [91, 55]
Generated Node #3: [91, 55] from Operation: 22+33=55
Current State: 36:[91, 55], Operations: ['38+53=91', '22+33=55']
Exploring Operation: 91-55=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
98,
72,
6,
36
] | 74 | [
"98-36=62",
"72/6=12",
"62+12=74"
] | Current State: 74:[98, 72, 6, 36], Operations: []
Exploring Operation: 98-36=62, Resulting Numbers: [72, 6, 62]
Generated Node #2: [72, 6, 62] from Operation: 98-36=62
Current State: 74:[72, 6, 62], Operations: ['98-36=62']
Exploring Operation: 72/6=12, Resulting Numbers: [62, 12]
Generated Node #3: [62, 12] from Operation: 72/6=12
Current State: 74:[62, 12], Operations: ['98-36=62', '72/6=12']
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
17,
72,
34,
18
] | 63 | [
"34/17=2",
"18/2=9",
"72-9=63"
] | Current State: 63:[17, 72, 34, 18], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [72, 18, 2]
Generated Node #2: [72, 18, 2] from Operation: 34/17=2
Current State: 63:[72, 18, 2], Operations: ['34/17=2']
Exploring Operation: 18/2=9, Resulting Numbers: [72, 9]
Generated Node #3: [72, 9] from Operation: 18/2=9
Current State: 63:[72, 9], Operations: ['34/17=2', '18/2=9']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
10,
76,
22,
54
] | 54 | [
"10+76=86",
"54-22=32",
"86-32=54"
] | Current State: 54:[10, 76, 22, 54], Operations: []
Exploring Operation: 10+76=86, Resulting Numbers: [22, 54, 86]
Generated Node #2: [22, 54, 86] from Operation: 10+76=86
Current State: 54:[22, 54, 86], Operations: ['10+76=86']
Exploring Operation: 54-22=32, Resulting Numbers: [86, 32]
Generated Node #3: [86, 32] from Operation: 54-22=32
Current State: 54:[86, 32], Operations: ['10+76=86', '54-22=32']
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
14,
2,
47,
47
] | 78 | [
"14+2=16",
"47+47=94",
"94-16=78"
] | Current State: 78:[14, 2, 47, 47], Operations: []
Exploring Operation: 14+2=16, Resulting Numbers: [47, 47, 16]
Generated Node #2: [47, 47, 16] from Operation: 14+2=16
Current State: 78:[47, 47, 16], Operations: ['14+2=16']
Exploring Operation: 47+47=94, Resulting Numbers: [16, 94]
Generated Node #3: [16, 94] from Operation: 47+47=94
Current State: 78:[16, 94], Operations: ['14+2=16', '47+47=94']
Exploring Operation: 94-16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
94,
48,
36,
96
] | 10 | [
"94+48=142",
"36+96=132",
"142-132=10"
] | Current State: 10:[94, 48, 36, 96], Operations: []
Exploring Operation: 94+48=142, Resulting Numbers: [36, 96, 142]
Generated Node #2: [36, 96, 142] from Operation: 94+48=142
Current State: 10:[36, 96, 142], Operations: ['94+48=142']
Exploring Operation: 36+96=132, Resulting Numbers: [142, 132]
Generated Node #3: [142, 132] from Operation: 36+96=132
Current State: 10:[142, 132], Operations: ['94+48=142', '36+96=132']
Exploring Operation: 142-132=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
23,
64,
62,
78
] | 92 | [
"23*64=1472",
"78-62=16",
"1472/16=92"
] | Current State: 92:[23, 64, 62, 78], Operations: []
Exploring Operation: 23*64=1472, Resulting Numbers: [62, 78, 1472]
Generated Node #2: [62, 78, 1472] from Operation: 23*64=1472
Current State: 92:[62, 78, 1472], Operations: ['23*64=1472']
Exploring Operation: 78-62=16, Resulting Numbers: [1472, 16]
Generated Node #3: [1472, 16] from Operation: 78-62=16
Current State: 92:[1472, 16], Operations: ['23*64=1472', '78-62=16']
Exploring Operation: 1472/16=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
54,
24,
69,
27
] | 47 | [
"54/27=2",
"69-24=45",
"2+45=47"
] | Current State: 47:[54, 24, 69, 27], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [24, 69, 2]
Generated Node #2: [24, 69, 2] from Operation: 54/27=2
Current State: 47:[24, 69, 2], Operations: ['54/27=2']
Exploring Operation: 69-24=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 69-24=45
Current State: 47:[2, 45], Operations: ['54/27=2', '69-24=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
58,
46,
39,
13
] | 80 | [
"46*39=1794",
"1794/13=138",
"138-58=80"
] | Current State: 80:[58, 46, 39, 13], Operations: []
Exploring Operation: 46*39=1794, Resulting Numbers: [58, 13, 1794]
Generated Node #2: [58, 13, 1794] from Operation: 46*39=1794
Current State: 80:[58, 13, 1794], Operations: ['46*39=1794']
Exploring Operation: 1794/13=138, Resulting Numbers: [58, 138]
Generated Node #3: [58, 138] from Operation: 1794/13=138
Current State: 80:[58, 138], Operations: ['46*39=1794', '1794/13=138']
Exploring Operation: 138-58=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
12,
47,
41
] | 98 | [
"49*12=588",
"47-41=6",
"588/6=98"
] | Current State: 98:[49, 12, 47, 41], Operations: []
Exploring Operation: 49*12=588, Resulting Numbers: [47, 41, 588]
Generated Node #2: [47, 41, 588] from Operation: 49*12=588
Current State: 98:[47, 41, 588], Operations: ['49*12=588']
Exploring Operation: 47-41=6, Resulting Numbers: [588, 6]
Generated Node #3: [588, 6] from Operation: 47-41=6
Current State: 98:[588, 6], Operations: ['49*12=588', '47-41=6']
Exploring Operation: 588/6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
66,
71,
22,
5
] | 63 | [
"66/22=3",
"71-5=66",
"66-3=63"
] | Current State: 63:[66, 71, 22, 5], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [71, 5, 3]
Generated Node #2: [71, 5, 3] from Operation: 66/22=3
Current State: 63:[71, 5, 3], Operations: ['66/22=3']
Exploring Operation: 71-5=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 71-5=66
Current State: 63:[3, 66], Operations: ['66/22=3', '71-5=66']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
90,
32,
43,
70
] | 50 | [
"32*70=2240",
"2240-90=2150",
"2150/43=50"
] | Current State: 50:[90, 32, 43, 70], Operations: []
Exploring Operation: 32*70=2240, Resulting Numbers: [90, 43, 2240]
Generated Node #2: [90, 43, 2240] from Operation: 32*70=2240
Current State: 50:[90, 43, 2240], Operations: ['32*70=2240']
Exploring Operation: 2240-90=2150, Resulting Numbers: [43, 2150]
Generated Node #3: [43, 2150] from Operation: 2240-90=2150
Current State: 50:[43, 2150], Operations: ['32*70=2240', '2240-90=2150']
Exploring Operation: 2150/43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
60,
14,
73,
92
] | 65 | [
"60-14=46",
"92-73=19",
"46+19=65"
] | Current State: 65:[60, 14, 73, 92], Operations: []
Exploring Operation: 60-14=46, Resulting Numbers: [73, 92, 46]
Generated Node #2: [73, 92, 46] from Operation: 60-14=46
Current State: 65:[73, 92, 46], Operations: ['60-14=46']
Exploring Operation: 92-73=19, Resulting Numbers: [46, 19]
Generated Node #3: [46, 19] from Operation: 92-73=19
Current State: 65:[46, 19], Operations: ['60-14=46', '92-73=19']
Exploring Operation: 46+19=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
30,
36,
96,
6
] | 24 | [
"30+36=66",
"96-6=90",
"90-66=24"
] | Current State: 24:[30, 36, 96, 6], Operations: []
Exploring Operation: 30+36=66, Resulting Numbers: [96, 6, 66]
Generated Node #2: [96, 6, 66] from Operation: 30+36=66
Current State: 24:[96, 6, 66], Operations: ['30+36=66']
Exploring Operation: 96-6=90, Resulting Numbers: [66, 90]
Generated Node #3: [66, 90] from Operation: 96-6=90
Current State: 24:[66, 90], Operations: ['30+36=66', '96-6=90']
Exploring Operation: 90-66=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
48,
44,
11,
99
] | 93 | [
"48*44=2112",
"2112/11=192",
"192-99=93"
] | Current State: 93:[48, 44, 11, 99], Operations: []
Exploring Operation: 48*44=2112, Resulting Numbers: [11, 99, 2112]
Generated Node #2: [11, 99, 2112] from Operation: 48*44=2112
Current State: 93:[11, 99, 2112], Operations: ['48*44=2112']
Exploring Operation: 2112/11=192, Resulting Numbers: [99, 192]
Generated Node #3: [99, 192] from Operation: 2112/11=192
Current State: 93:[99, 192], Operations: ['48*44=2112', '2112/11=192']
Exploring Operation: 192-99=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
92,
92,
94,
65
] | 19 | [
"94-92=2",
"92/2=46",
"65-46=19"
] | Current State: 19:[92, 92, 94, 65], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [65, 2]
Generated Node #2: [65, 2] from Operation: 94-92=2
Current State: 19:[65, 2], Operations: ['94-92=2']
Exploring Operation: 92/2=46, Resulting Numbers: [65, 46]
Generated Node #3: [65, 46] from Operation: 92/2=46
Current State: 19:[65, 46], Operations: ['94-92=2', '92/2=46']
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
47,
15,
25,
63
] | 25 | [
"47+15=62",
"63-62=1",
"25*1=25"
] | Current State: 25:[47, 15, 25, 63], Operations: []
Exploring Operation: 47+15=62, Resulting Numbers: [25, 63, 62]
Generated Node #2: [25, 63, 62] from Operation: 47+15=62
Current State: 25:[25, 63, 62], Operations: ['47+15=62']
Exploring Operation: 63-62=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 63-62=1
Current State: 25:[25, 1], Operations: ['47+15=62', '63-62=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
10,
94,
92,
78
] | 98 | [
"94-10=84",
"92-78=14",
"84+14=98"
] | Current State: 98:[10, 94, 92, 78], Operations: []
Exploring Operation: 94-10=84, Resulting Numbers: [92, 78, 84]
Generated Node #2: [92, 78, 84] from Operation: 94-10=84
Current State: 98:[92, 78, 84], Operations: ['94-10=84']
Exploring Operation: 92-78=14, Resulting Numbers: [84, 14]
Generated Node #3: [84, 14] from Operation: 92-78=14
Current State: 98:[84, 14], Operations: ['94-10=84', '92-78=14']
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
97,
82,
1,
96
] | 81 | [
"97-82=15",
"1*96=96",
"96-15=81"
] | Current State: 81:[97, 82, 1, 96], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [1, 96, 15]
Generated Node #2: [1, 96, 15] from Operation: 97-82=15
Current State: 81:[1, 96, 15], Operations: ['97-82=15']
Exploring Operation: 1*96=96, Resulting Numbers: [15, 96]
Generated Node #3: [15, 96] from Operation: 1*96=96
Current State: 81:[15, 96], Operations: ['97-82=15', '1*96=96']
Exploring Operation: 96-15=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
14,
46,
51,
23
] | 32 | [
"14+46=60",
"51-23=28",
"60-28=32"
] | Current State: 32:[14, 46, 51, 23], Operations: []
Exploring Operation: 14+46=60, Resulting Numbers: [51, 23, 60]
Generated Node #2: [51, 23, 60] from Operation: 14+46=60
Current State: 32:[51, 23, 60], Operations: ['14+46=60']
Exploring Operation: 51-23=28, Resulting Numbers: [60, 28]
Generated Node #3: [60, 28] from Operation: 51-23=28
Current State: 32:[60, 28], Operations: ['14+46=60', '51-23=28']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
37,
93,
5,
91
] | 64 | [
"37-5=32",
"93-91=2",
"32*2=64"
] | Current State: 64:[37, 93, 5, 91], Operations: []
Exploring Operation: 37-5=32, Resulting Numbers: [93, 91, 32]
Generated Node #2: [93, 91, 32] from Operation: 37-5=32
Current State: 64:[93, 91, 32], Operations: ['37-5=32']
Exploring Operation: 93-91=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 93-91=2
Current State: 64:[32, 2], Operations: ['37-5=32', '93-91=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
9,
32,
3,
92
] | 29 | [
"92-32=60",
"60/3=20",
"9+20=29"
] | Current State: 29:[9, 32, 3, 92], Operations: []
Exploring Operation: 92-32=60, Resulting Numbers: [9, 3, 60]
Generated Node #2: [9, 3, 60] from Operation: 92-32=60
Current State: 29:[9, 3, 60], Operations: ['92-32=60']
Exploring Operation: 60/3=20, Resulting Numbers: [9, 20]
Generated Node #3: [9, 20] from Operation: 60/3=20
Current State: 29:[9, 20], Operations: ['92-32=60', '60/3=20']
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
53,
26,
64,
23
] | 68 | [
"53-26=27",
"64-23=41",
"27+41=68"
] | Current State: 68:[53, 26, 64, 23], Operations: []
Exploring Operation: 53-26=27, Resulting Numbers: [64, 23, 27]
Generated Node #2: [64, 23, 27] from Operation: 53-26=27
Current State: 68:[64, 23, 27], Operations: ['53-26=27']
Exploring Operation: 64-23=41, Resulting Numbers: [27, 41]
Generated Node #3: [27, 41] from Operation: 64-23=41
Current State: 68:[27, 41], Operations: ['53-26=27', '64-23=41']
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
26,
50,
89,
64
] | 50 | [
"89-26=63",
"64-63=1",
"50*1=50"
] | Current State: 50:[26, 50, 89, 64], Operations: []
Exploring Operation: 89-26=63, Resulting Numbers: [50, 64, 63]
Generated Node #2: [50, 64, 63] from Operation: 89-26=63
Current State: 50:[50, 64, 63], Operations: ['89-26=63']
Exploring Operation: 64-63=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 64-63=1
Current State: 50:[50, 1], Operations: ['89-26=63', '64-63=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
30,
10,
30,
69
] | 36 | [
"30/10=3",
"69-30=39",
"39-3=36"
] | Current State: 36:[30, 10, 30, 69], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [69, 3]
Generated Node #2: [69, 3] from Operation: 30/10=3
Current State: 36:[69, 3], Operations: ['30/10=3']
Exploring Operation: 69-30=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 69-30=39
Current State: 36:[3, 39], Operations: ['30/10=3', '69-30=39']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
20,
70,
80,
86
] | 88 | [
"80-70=10",
"20/10=2",
"86+2=88"
] | Current State: 88:[20, 70, 80, 86], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [20, 86, 10]
Generated Node #2: [20, 86, 10] from Operation: 80-70=10
Current State: 88:[20, 86, 10], Operations: ['80-70=10']
Exploring Operation: 20/10=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 20/10=2
Current State: 88:[86, 2], Operations: ['80-70=10', '20/10=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
77,
3,
6,
76
] | 75 | [
"6/3=2",
"76*2=152",
"152-77=75"
] | Current State: 75:[77, 3, 6, 76], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [77, 76, 2]
Generated Node #2: [77, 76, 2] from Operation: 6/3=2
Current State: 75:[77, 76, 2], Operations: ['6/3=2']
Exploring Operation: 76*2=152, Resulting Numbers: [77, 152]
Generated Node #3: [77, 152] from Operation: 76*2=152
Current State: 75:[77, 152], Operations: ['6/3=2', '76*2=152']
Exploring Operation: 152-77=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
32,
24,
2,
28
] | 52 | [
"32-28=4",
"24*2=48",
"4+48=52"
] | Current State: 52:[32, 24, 2, 28], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [24, 2, 4]
Generated Node #2: [24, 2, 4] from Operation: 32-28=4
Current State: 52:[24, 2, 4], Operations: ['32-28=4']
Exploring Operation: 24*2=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 24*2=48
Current State: 52:[4, 48], Operations: ['32-28=4', '24*2=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
43,
24,
86,
58
] | 10 | [
"86/43=2",
"24*2=48",
"58-48=10"
] | Current State: 10:[43, 24, 86, 58], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [24, 58, 2]
Generated Node #2: [24, 58, 2] from Operation: 86/43=2
Current State: 10:[24, 58, 2], Operations: ['86/43=2']
Exploring Operation: 24*2=48, Resulting Numbers: [58, 48]
Generated Node #3: [58, 48] from Operation: 24*2=48
Current State: 10:[58, 48], Operations: ['86/43=2', '24*2=48']
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
55,
86,
18,
10
] | 39 | [
"55+86=141",
"18*10=180",
"180-141=39"
] | Current State: 39:[55, 86, 18, 10], Operations: []
Exploring Operation: 55+86=141, Resulting Numbers: [18, 10, 141]
Generated Node #2: [18, 10, 141] from Operation: 55+86=141
Current State: 39:[18, 10, 141], Operations: ['55+86=141']
Exploring Operation: 18*10=180, Resulting Numbers: [141, 180]
Generated Node #3: [141, 180] from Operation: 18*10=180
Current State: 39:[141, 180], Operations: ['55+86=141', '18*10=180']
Exploring Operation: 180-141=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
59,
59,
18,
63
] | 44 | [
"59/59=1",
"63-18=45",
"45-1=44"
] | Current State: 44:[59, 59, 18, 63], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [18, 63, 1]
Generated Node #2: [18, 63, 1] from Operation: 59/59=1
Current State: 44:[18, 63, 1], Operations: ['59/59=1']
Exploring Operation: 63-18=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 63-18=45
Current State: 44:[1, 45], Operations: ['59/59=1', '63-18=45']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
54,
33,
88,
83
] | 82 | [
"54+33=87",
"88-83=5",
"87-5=82"
] | Current State: 82:[54, 33, 88, 83], Operations: []
Exploring Operation: 54+33=87, Resulting Numbers: [88, 83, 87]
Generated Node #2: [88, 83, 87] from Operation: 54+33=87
Current State: 82:[88, 83, 87], Operations: ['54+33=87']
Exploring Operation: 88-83=5, Resulting Numbers: [87, 5]
Generated Node #3: [87, 5] from Operation: 88-83=5
Current State: 82:[87, 5], Operations: ['54+33=87', '88-83=5']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
48,
80,
7,
80
] | 48 | [
"80-80=0",
"7*0=0",
"48+0=48"
] | Current State: 48:[48, 80, 7, 80], Operations: []
Exploring Operation: 80-80=0, Resulting Numbers: [48, 7, 0]
Generated Node #2: [48, 7, 0] from Operation: 80-80=0
Current State: 48:[48, 7, 0], Operations: ['80-80=0']
Exploring Operation: 7*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 7*0=0
Current State: 48:[48, 0], Operations: ['80-80=0', '7*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
51,
90,
59,
2
] | 23 | [
"51+90=141",
"59*2=118",
"141-118=23"
] | Current State: 23:[51, 90, 59, 2], Operations: []
Exploring Operation: 51+90=141, Resulting Numbers: [59, 2, 141]
Generated Node #2: [59, 2, 141] from Operation: 51+90=141
Current State: 23:[59, 2, 141], Operations: ['51+90=141']
Exploring Operation: 59*2=118, Resulting Numbers: [141, 118]
Generated Node #3: [141, 118] from Operation: 59*2=118
Current State: 23:[141, 118], Operations: ['51+90=141', '59*2=118']
Exploring Operation: 141-118=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
86,
97,
71,
3
] | 10 | [
"86+97=183",
"183/3=61",
"71-61=10"
] | Current State: 10:[86, 97, 71, 3], Operations: []
Exploring Operation: 86+97=183, Resulting Numbers: [71, 3, 183]
Generated Node #2: [71, 3, 183] from Operation: 86+97=183
Current State: 10:[71, 3, 183], Operations: ['86+97=183']
Exploring Operation: 183/3=61, Resulting Numbers: [71, 61]
Generated Node #3: [71, 61] from Operation: 183/3=61
Current State: 10:[71, 61], Operations: ['86+97=183', '183/3=61']
Exploring Operation: 71-61=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
6,
20,
4
] | 89 | [
"20-4=16",
"6*16=96",
"96-7=89"
] | Current State: 89:[7, 6, 20, 4], Operations: []
Exploring Operation: 20-4=16, Resulting Numbers: [7, 6, 16]
Generated Node #2: [7, 6, 16] from Operation: 20-4=16
Current State: 89:[7, 6, 16], Operations: ['20-4=16']
Exploring Operation: 6*16=96, Resulting Numbers: [7, 96]
Generated Node #3: [7, 96] from Operation: 6*16=96
Current State: 89:[7, 96], Operations: ['20-4=16', '6*16=96']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
52,
6,
4,
18
] | 30 | [
"52/4=13",
"18-13=5",
"6*5=30"
] | Current State: 30:[52, 6, 4, 18], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [6, 18, 13]
Generated Node #2: [6, 18, 13] from Operation: 52/4=13
Current State: 30:[6, 18, 13], Operations: ['52/4=13']
Exploring Operation: 18-13=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 18-13=5
Current State: 30:[6, 5], Operations: ['52/4=13', '18-13=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
72,
20,
8,
16
] | 17 | [
"8+16=24",
"72/24=3",
"20-3=17"
] | Current State: 17:[72, 20, 8, 16], Operations: []
Exploring Operation: 8+16=24, Resulting Numbers: [72, 20, 24]
Generated Node #2: [72, 20, 24] from Operation: 8+16=24
Current State: 17:[72, 20, 24], Operations: ['8+16=24']
Exploring Operation: 72/24=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 72/24=3
Current State: 17:[20, 3], Operations: ['8+16=24', '72/24=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
25,
50,
51,
35
] | 15 | [
"25*51=1275",
"50+35=85",
"1275/85=15"
] | Current State: 15:[25, 50, 51, 35], Operations: []
Exploring Operation: 25*51=1275, Resulting Numbers: [50, 35, 1275]
Generated Node #2: [50, 35, 1275] from Operation: 25*51=1275
Current State: 15:[50, 35, 1275], Operations: ['25*51=1275']
Exploring Operation: 50+35=85, Resulting Numbers: [1275, 85]
Generated Node #3: [1275, 85] from Operation: 50+35=85
Current State: 15:[1275, 85], Operations: ['25*51=1275', '50+35=85']
Exploring Operation: 1275/85=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
54,
94,
72,
85
] | 14 | [
"54+72=126",
"94-85=9",
"126/9=14"
] | Current State: 14:[54, 94, 72, 85], Operations: []
Exploring Operation: 54+72=126, Resulting Numbers: [94, 85, 126]
Generated Node #2: [94, 85, 126] from Operation: 54+72=126
Current State: 14:[94, 85, 126], Operations: ['54+72=126']
Exploring Operation: 94-85=9, Resulting Numbers: [126, 9]
Generated Node #3: [126, 9] from Operation: 94-85=9
Current State: 14:[126, 9], Operations: ['54+72=126', '94-85=9']
Exploring Operation: 126/9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
17,
35,
86,
32
] | 29 | [
"86-35=51",
"51/17=3",
"32-3=29"
] | Current State: 29:[17, 35, 86, 32], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [17, 32, 51]
Generated Node #2: [17, 32, 51] from Operation: 86-35=51
Current State: 29:[17, 32, 51], Operations: ['86-35=51']
Exploring Operation: 51/17=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 51/17=3
Current State: 29:[32, 3], Operations: ['86-35=51', '51/17=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
2,
35,
57,
16
] | 60 | [
"2*16=32",
"35+57=92",
"92-32=60"
] | Current State: 60:[2, 35, 57, 16], Operations: []
Exploring Operation: 2*16=32, Resulting Numbers: [35, 57, 32]
Generated Node #2: [35, 57, 32] from Operation: 2*16=32
Current State: 60:[35, 57, 32], Operations: ['2*16=32']
Exploring Operation: 35+57=92, Resulting Numbers: [32, 92]
Generated Node #3: [32, 92] from Operation: 35+57=92
Current State: 60:[32, 92], Operations: ['2*16=32', '35+57=92']
Exploring Operation: 92-32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
6,
68,
31,
32
] | 16 | [
"68-6=62",
"31*32=992",
"992/62=16"
] | Current State: 16:[6, 68, 31, 32], Operations: []
Exploring Operation: 68-6=62, Resulting Numbers: [31, 32, 62]
Generated Node #2: [31, 32, 62] from Operation: 68-6=62
Current State: 16:[31, 32, 62], Operations: ['68-6=62']
Exploring Operation: 31*32=992, Resulting Numbers: [62, 992]
Generated Node #3: [62, 992] from Operation: 31*32=992
Current State: 16:[62, 992], Operations: ['68-6=62', '31*32=992']
Exploring Operation: 992/62=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
7,
15,
41,
77
] | 69 | [
"7*15=105",
"77-41=36",
"105-36=69"
] | Current State: 69:[7, 15, 41, 77], Operations: []
Exploring Operation: 7*15=105, Resulting Numbers: [41, 77, 105]
Generated Node #2: [41, 77, 105] from Operation: 7*15=105
Current State: 69:[41, 77, 105], Operations: ['7*15=105']
Exploring Operation: 77-41=36, Resulting Numbers: [105, 36]
Generated Node #3: [105, 36] from Operation: 77-41=36
Current State: 69:[105, 36], Operations: ['7*15=105', '77-41=36']
Exploring Operation: 105-36=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
22,
29,
81,
84
] | 10 | [
"29-22=7",
"84-81=3",
"7+3=10"
] | Current State: 10:[22, 29, 81, 84], Operations: []
Exploring Operation: 29-22=7, Resulting Numbers: [81, 84, 7]
Generated Node #2: [81, 84, 7] from Operation: 29-22=7
Current State: 10:[81, 84, 7], Operations: ['29-22=7']
Exploring Operation: 84-81=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 84-81=3
Current State: 10:[7, 3], Operations: ['29-22=7', '84-81=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
70,
96,
32,
80
] | 72 | [
"96-80=16",
"32/16=2",
"70+2=72"
] | Current State: 72:[70, 96, 32, 80], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [70, 32, 16]
Generated Node #2: [70, 32, 16] from Operation: 96-80=16
Current State: 72:[70, 32, 16], Operations: ['96-80=16']
Exploring Operation: 32/16=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 32/16=2
Current State: 72:[70, 2], Operations: ['96-80=16', '32/16=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
51,
22,
1,
18
] | 54 | [
"51+22=73",
"1+18=19",
"73-19=54"
] | Current State: 54:[51, 22, 1, 18], Operations: []
Exploring Operation: 51+22=73, Resulting Numbers: [1, 18, 73]
Generated Node #2: [1, 18, 73] from Operation: 51+22=73
Current State: 54:[1, 18, 73], Operations: ['51+22=73']
Exploring Operation: 1+18=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 1+18=19
Current State: 54:[73, 19], Operations: ['51+22=73', '1+18=19']
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
36,
92,
2,
90
] | 68 | [
"92-36=56",
"90-56=34",
"2*34=68"
] | Current State: 68:[36, 92, 2, 90], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [2, 90, 56]
Generated Node #2: [2, 90, 56] from Operation: 92-36=56
Current State: 68:[2, 90, 56], Operations: ['92-36=56']
Exploring Operation: 90-56=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 90-56=34
Current State: 68:[2, 34], Operations: ['92-36=56', '90-56=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
18,
2,
90,
93
] | 96 | [
"90/18=5",
"93-2=91",
"5+91=96"
] | Current State: 96:[18, 2, 90, 93], Operations: []
Exploring Operation: 90/18=5, Resulting Numbers: [2, 93, 5]
Generated Node #2: [2, 93, 5] from Operation: 90/18=5
Current State: 96:[2, 93, 5], Operations: ['90/18=5']
Exploring Operation: 93-2=91, Resulting Numbers: [5, 91]
Generated Node #3: [5, 91] from Operation: 93-2=91
Current State: 96:[5, 91], Operations: ['90/18=5', '93-2=91']
Exploring Operation: 5+91=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
10,
7,
23,
8
] | 77 | [
"10-7=3",
"23*3=69",
"8+69=77"
] | Current State: 77:[10, 7, 23, 8], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [23, 8, 3]
Generated Node #2: [23, 8, 3] from Operation: 10-7=3
Current State: 77:[23, 8, 3], Operations: ['10-7=3']
Exploring Operation: 23*3=69, Resulting Numbers: [8, 69]
Generated Node #3: [8, 69] from Operation: 23*3=69
Current State: 77:[8, 69], Operations: ['10-7=3', '23*3=69']
Exploring Operation: 8+69=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
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