nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
55,
87,
36,
38
] | 16 | [
"87-55=32",
"38-36=2",
"32/2=16"
] | Current State: 16:[55, 87, 36, 38], Operations: []
Exploring Operation: 87-55=32, Resulting Numbers: [36, 38, 32]
Generated Node #2: [36, 38, 32] from Operation: 87-55=32
Current State: 16:[36, 38, 32], Operations: ['87-55=32']
Exploring Operation: 38-36=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 38-36=2
Current State: 16:[32, 2], Operations: ['87-55=32', '38-36=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
30,
48,
34,
55
] | 18 | [
"30*55=1650",
"48*34=1632",
"1650-1632=18"
] | Current State: 18:[30, 48, 34, 55], Operations: []
Exploring Operation: 30*55=1650, Resulting Numbers: [48, 34, 1650]
Generated Node #2: [48, 34, 1650] from Operation: 30*55=1650
Current State: 18:[48, 34, 1650], Operations: ['30*55=1650']
Exploring Operation: 48*34=1632, Resulting Numbers: [1650, 1632]
Generated Node #3: [1650, 1632] from Operation: 48*34=1632
Current State: 18:[1650, 1632], Operations: ['30*55=1650', '48*34=1632']
Exploring Operation: 1650-1632=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
76,
35,
69,
33
] | 76 | [
"69-35=34",
"34-33=1",
"76*1=76"
] | Current State: 76:[76, 35, 69, 33], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [76, 33, 34]
Generated Node #2: [76, 33, 34] from Operation: 69-35=34
Current State: 76:[76, 33, 34], Operations: ['69-35=34']
Exploring Operation: 34-33=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 34-33=1
Current State: 76:[76, 1], Operations: ['69-35=34', '34-33=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
59,
40,
27,
49
] | 77 | [
"59+40=99",
"49-27=22",
"99-22=77"
] | Current State: 77:[59, 40, 27, 49], Operations: []
Exploring Operation: 59+40=99, Resulting Numbers: [27, 49, 99]
Generated Node #2: [27, 49, 99] from Operation: 59+40=99
Current State: 77:[27, 49, 99], Operations: ['59+40=99']
Exploring Operation: 49-27=22, Resulting Numbers: [99, 22]
Generated Node #3: [99, 22] from Operation: 49-27=22
Current State: 77:[99, 22], Operations: ['59+40=99', '49-27=22']
Exploring Operation: 99-22=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
13,
78,
65,
67
] | 89 | [
"13+78=91",
"67-65=2",
"91-2=89"
] | Current State: 89:[13, 78, 65, 67], Operations: []
Exploring Operation: 13+78=91, Resulting Numbers: [65, 67, 91]
Generated Node #2: [65, 67, 91] from Operation: 13+78=91
Current State: 89:[65, 67, 91], Operations: ['13+78=91']
Exploring Operation: 67-65=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 67-65=2
Current State: 89:[91, 2], Operations: ['13+78=91', '67-65=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
14,
93,
10,
7
] | 65 | [
"14-10=4",
"7*4=28",
"93-28=65"
] | Current State: 65:[14, 93, 10, 7], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [93, 7, 4]
Generated Node #2: [93, 7, 4] from Operation: 14-10=4
Current State: 65:[93, 7, 4], Operations: ['14-10=4']
Exploring Operation: 7*4=28, Resulting Numbers: [93, 28]
Generated Node #3: [93, 28] from Operation: 7*4=28
Current State: 65:[93, 28], Operations: ['14-10=4', '7*4=28']
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
86,
10,
55,
29
] | 12 | [
"86+10=96",
"55+29=84",
"96-84=12"
] | Current State: 12:[86, 10, 55, 29], Operations: []
Exploring Operation: 86+10=96, Resulting Numbers: [55, 29, 96]
Generated Node #2: [55, 29, 96] from Operation: 86+10=96
Current State: 12:[55, 29, 96], Operations: ['86+10=96']
Exploring Operation: 55+29=84, Resulting Numbers: [96, 84]
Generated Node #3: [96, 84] from Operation: 55+29=84
Current State: 12:[96, 84], Operations: ['86+10=96', '55+29=84']
Exploring Operation: 96-84=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
35,
62,
28,
33
] | 68 | [
"35-33=2",
"62-28=34",
"2*34=68"
] | Current State: 68:[35, 62, 28, 33], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [62, 28, 2]
Generated Node #2: [62, 28, 2] from Operation: 35-33=2
Current State: 68:[62, 28, 2], Operations: ['35-33=2']
Exploring Operation: 62-28=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 62-28=34
Current State: 68:[2, 34], Operations: ['35-33=2', '62-28=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
25,
80,
59,
43
] | 47 | [
"80-25=55",
"59+43=102",
"102-55=47"
] | Current State: 47:[25, 80, 59, 43], Operations: []
Exploring Operation: 80-25=55, Resulting Numbers: [59, 43, 55]
Generated Node #2: [59, 43, 55] from Operation: 80-25=55
Current State: 47:[59, 43, 55], Operations: ['80-25=55']
Exploring Operation: 59+43=102, Resulting Numbers: [55, 102]
Generated Node #3: [55, 102] from Operation: 59+43=102
Current State: 47:[55, 102], Operations: ['80-25=55', '59+43=102']
Exploring Operation: 102-55=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
35,
93,
32,
62
] | 28 | [
"93-35=58",
"62-32=30",
"58-30=28"
] | Current State: 28:[35, 93, 32, 62], Operations: []
Exploring Operation: 93-35=58, Resulting Numbers: [32, 62, 58]
Generated Node #2: [32, 62, 58] from Operation: 93-35=58
Current State: 28:[32, 62, 58], Operations: ['93-35=58']
Exploring Operation: 62-32=30, Resulting Numbers: [58, 30]
Generated Node #3: [58, 30] from Operation: 62-32=30
Current State: 28:[58, 30], Operations: ['93-35=58', '62-32=30']
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
14,
55,
95,
37
] | 42 | [
"95-55=40",
"40-37=3",
"14*3=42"
] | Current State: 42:[14, 55, 95, 37], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [14, 37, 40]
Generated Node #2: [14, 37, 40] from Operation: 95-55=40
Current State: 42:[14, 37, 40], Operations: ['95-55=40']
Exploring Operation: 40-37=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 40-37=3
Current State: 42:[14, 3], Operations: ['95-55=40', '40-37=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
85,
65,
60,
37
] | 54 | [
"65-60=5",
"85/5=17",
"37+17=54"
] | Current State: 54:[85, 65, 60, 37], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [85, 37, 5]
Generated Node #2: [85, 37, 5] from Operation: 65-60=5
Current State: 54:[85, 37, 5], Operations: ['65-60=5']
Exploring Operation: 85/5=17, Resulting Numbers: [37, 17]
Generated Node #3: [37, 17] from Operation: 85/5=17
Current State: 54:[37, 17], Operations: ['65-60=5', '85/5=17']
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
19,
68,
44,
89
] | 88 | [
"19+68=87",
"89-87=2",
"44*2=88"
] | Current State: 88:[19, 68, 44, 89], Operations: []
Exploring Operation: 19+68=87, Resulting Numbers: [44, 89, 87]
Generated Node #2: [44, 89, 87] from Operation: 19+68=87
Current State: 88:[44, 89, 87], Operations: ['19+68=87']
Exploring Operation: 89-87=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 89-87=2
Current State: 88:[44, 2], Operations: ['19+68=87', '89-87=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
48,
35,
26
] | 85 | [
"48/2=24",
"35+26=61",
"24+61=85"
] | Current State: 85:[2, 48, 35, 26], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [35, 26, 24]
Generated Node #2: [35, 26, 24] from Operation: 48/2=24
Current State: 85:[35, 26, 24], Operations: ['48/2=24']
Exploring Operation: 35+26=61, Resulting Numbers: [24, 61]
Generated Node #3: [24, 61] from Operation: 35+26=61
Current State: 85:[24, 61], Operations: ['48/2=24', '35+26=61']
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
82,
51,
92,
42
] | 84 | [
"82*42=3444",
"92-51=41",
"3444/41=84"
] | Current State: 84:[82, 51, 92, 42], Operations: []
Exploring Operation: 82*42=3444, Resulting Numbers: [51, 92, 3444]
Generated Node #2: [51, 92, 3444] from Operation: 82*42=3444
Current State: 84:[51, 92, 3444], Operations: ['82*42=3444']
Exploring Operation: 92-51=41, Resulting Numbers: [3444, 41]
Generated Node #3: [3444, 41] from Operation: 92-51=41
Current State: 84:[3444, 41], Operations: ['82*42=3444', '92-51=41']
Exploring Operation: 3444/41=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
28,
11,
82
] | 80 | [
"28-15=13",
"11+82=93",
"93-13=80"
] | Current State: 80:[15, 28, 11, 82], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [11, 82, 13]
Generated Node #2: [11, 82, 13] from Operation: 28-15=13
Current State: 80:[11, 82, 13], Operations: ['28-15=13']
Exploring Operation: 11+82=93, Resulting Numbers: [13, 93]
Generated Node #3: [13, 93] from Operation: 11+82=93
Current State: 80:[13, 93], Operations: ['28-15=13', '11+82=93']
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
69,
78,
24,
86
] | 53 | [
"78-69=9",
"86-24=62",
"62-9=53"
] | Current State: 53:[69, 78, 24, 86], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [24, 86, 9]
Generated Node #2: [24, 86, 9] from Operation: 78-69=9
Current State: 53:[24, 86, 9], Operations: ['78-69=9']
Exploring Operation: 86-24=62, Resulting Numbers: [9, 62]
Generated Node #3: [9, 62] from Operation: 86-24=62
Current State: 53:[9, 62], Operations: ['78-69=9', '86-24=62']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
38,
50,
95,
75
] | 38 | [
"95-38=57",
"50*57=2850",
"2850/75=38"
] | Current State: 38:[38, 50, 95, 75], Operations: []
Exploring Operation: 95-38=57, Resulting Numbers: [50, 75, 57]
Generated Node #2: [50, 75, 57] from Operation: 95-38=57
Current State: 38:[50, 75, 57], Operations: ['95-38=57']
Exploring Operation: 50*57=2850, Resulting Numbers: [75, 2850]
Generated Node #3: [75, 2850] from Operation: 50*57=2850
Current State: 38:[75, 2850], Operations: ['95-38=57', '50*57=2850']
Exploring Operation: 2850/75=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
98,
7,
8,
39
] | 60 | [
"98-7=91",
"39-8=31",
"91-31=60"
] | Current State: 60:[98, 7, 8, 39], Operations: []
Exploring Operation: 98-7=91, Resulting Numbers: [8, 39, 91]
Generated Node #2: [8, 39, 91] from Operation: 98-7=91
Current State: 60:[8, 39, 91], Operations: ['98-7=91']
Exploring Operation: 39-8=31, Resulting Numbers: [91, 31]
Generated Node #3: [91, 31] from Operation: 39-8=31
Current State: 60:[91, 31], Operations: ['98-7=91', '39-8=31']
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
16,
98,
29,
47
] | 49 | [
"16+29=45",
"47-45=2",
"98/2=49"
] | Current State: 49:[16, 98, 29, 47], Operations: []
Exploring Operation: 16+29=45, Resulting Numbers: [98, 47, 45]
Generated Node #2: [98, 47, 45] from Operation: 16+29=45
Current State: 49:[98, 47, 45], Operations: ['16+29=45']
Exploring Operation: 47-45=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 47-45=2
Current State: 49:[98, 2], Operations: ['16+29=45', '47-45=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
82,
34,
47,
45
] | 99 | [
"47-45=2",
"34/2=17",
"82+17=99"
] | Current State: 99:[82, 34, 47, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [82, 34, 2]
Generated Node #2: [82, 34, 2] from Operation: 47-45=2
Current State: 99:[82, 34, 2], Operations: ['47-45=2']
Exploring Operation: 34/2=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 34/2=17
Current State: 99:[82, 17], Operations: ['47-45=2', '34/2=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
46,
47,
67,
94
] | 23 | [
"67-46=21",
"94/47=2",
"21+2=23"
] | Current State: 23:[46, 47, 67, 94], Operations: []
Exploring Operation: 67-46=21, Resulting Numbers: [47, 94, 21]
Generated Node #2: [47, 94, 21] from Operation: 67-46=21
Current State: 23:[47, 94, 21], Operations: ['67-46=21']
Exploring Operation: 94/47=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 94/47=2
Current State: 23:[21, 2], Operations: ['67-46=21', '94/47=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
4,
60,
35,
62
] | 91 | [
"4+60=64",
"62-35=27",
"64+27=91"
] | Current State: 91:[4, 60, 35, 62], Operations: []
Exploring Operation: 4+60=64, Resulting Numbers: [35, 62, 64]
Generated Node #2: [35, 62, 64] from Operation: 4+60=64
Current State: 91:[35, 62, 64], Operations: ['4+60=64']
Exploring Operation: 62-35=27, Resulting Numbers: [64, 27]
Generated Node #3: [64, 27] from Operation: 62-35=27
Current State: 91:[64, 27], Operations: ['4+60=64', '62-35=27']
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
60,
76,
1,
5
] | 61 | [
"5-1=4",
"60/4=15",
"76-15=61"
] | Current State: 61:[60, 76, 1, 5], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [60, 76, 4]
Generated Node #2: [60, 76, 4] from Operation: 5-1=4
Current State: 61:[60, 76, 4], Operations: ['5-1=4']
Exploring Operation: 60/4=15, Resulting Numbers: [76, 15]
Generated Node #3: [76, 15] from Operation: 60/4=15
Current State: 61:[76, 15], Operations: ['5-1=4', '60/4=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
31,
18,
34,
44
] | 23 | [
"31-18=13",
"44-34=10",
"13+10=23"
] | Current State: 23:[31, 18, 34, 44], Operations: []
Exploring Operation: 31-18=13, Resulting Numbers: [34, 44, 13]
Generated Node #2: [34, 44, 13] from Operation: 31-18=13
Current State: 23:[34, 44, 13], Operations: ['31-18=13']
Exploring Operation: 44-34=10, Resulting Numbers: [13, 10]
Generated Node #3: [13, 10] from Operation: 44-34=10
Current State: 23:[13, 10], Operations: ['31-18=13', '44-34=10']
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
5,
97,
14,
49
] | 29 | [
"97-5=92",
"14+49=63",
"92-63=29"
] | Current State: 29:[5, 97, 14, 49], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [14, 49, 92]
Generated Node #2: [14, 49, 92] from Operation: 97-5=92
Current State: 29:[14, 49, 92], Operations: ['97-5=92']
Exploring Operation: 14+49=63, Resulting Numbers: [92, 63]
Generated Node #3: [92, 63] from Operation: 14+49=63
Current State: 29:[92, 63], Operations: ['97-5=92', '14+49=63']
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
90,
12,
15,
7
] | 99 | [
"12+15=27",
"7*27=189",
"189-90=99"
] | Current State: 99:[90, 12, 15, 7], Operations: []
Exploring Operation: 12+15=27, Resulting Numbers: [90, 7, 27]
Generated Node #2: [90, 7, 27] from Operation: 12+15=27
Current State: 99:[90, 7, 27], Operations: ['12+15=27']
Exploring Operation: 7*27=189, Resulting Numbers: [90, 189]
Generated Node #3: [90, 189] from Operation: 7*27=189
Current State: 99:[90, 189], Operations: ['12+15=27', '7*27=189']
Exploring Operation: 189-90=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
23,
65,
4,
30
] | 37 | [
"30-23=7",
"4*7=28",
"65-28=37"
] | Current State: 37:[23, 65, 4, 30], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [65, 4, 7]
Generated Node #2: [65, 4, 7] from Operation: 30-23=7
Current State: 37:[65, 4, 7], Operations: ['30-23=7']
Exploring Operation: 4*7=28, Resulting Numbers: [65, 28]
Generated Node #3: [65, 28] from Operation: 4*7=28
Current State: 37:[65, 28], Operations: ['30-23=7', '4*7=28']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
54,
18,
88,
23
] | 68 | [
"54/18=3",
"88-23=65",
"3+65=68"
] | Current State: 68:[54, 18, 88, 23], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [88, 23, 3]
Generated Node #2: [88, 23, 3] from Operation: 54/18=3
Current State: 68:[88, 23, 3], Operations: ['54/18=3']
Exploring Operation: 88-23=65, Resulting Numbers: [3, 65]
Generated Node #3: [3, 65] from Operation: 88-23=65
Current State: 68:[3, 65], Operations: ['54/18=3', '88-23=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
78,
51,
15,
25
] | 37 | [
"78-51=27",
"25-15=10",
"27+10=37"
] | Current State: 37:[78, 51, 15, 25], Operations: []
Exploring Operation: 78-51=27, Resulting Numbers: [15, 25, 27]
Generated Node #2: [15, 25, 27] from Operation: 78-51=27
Current State: 37:[15, 25, 27], Operations: ['78-51=27']
Exploring Operation: 25-15=10, Resulting Numbers: [27, 10]
Generated Node #3: [27, 10] from Operation: 25-15=10
Current State: 37:[27, 10], Operations: ['78-51=27', '25-15=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
3,
32,
39,
59
] | 69 | [
"32-3=29",
"39+59=98",
"98-29=69"
] | Current State: 69:[3, 32, 39, 59], Operations: []
Exploring Operation: 32-3=29, Resulting Numbers: [39, 59, 29]
Generated Node #2: [39, 59, 29] from Operation: 32-3=29
Current State: 69:[39, 59, 29], Operations: ['32-3=29']
Exploring Operation: 39+59=98, Resulting Numbers: [29, 98]
Generated Node #3: [29, 98] from Operation: 39+59=98
Current State: 69:[29, 98], Operations: ['32-3=29', '39+59=98']
Exploring Operation: 98-29=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
10,
80,
18,
13
] | 86 | [
"80/10=8",
"13*8=104",
"104-18=86"
] | Current State: 86:[10, 80, 18, 13], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [18, 13, 8]
Generated Node #2: [18, 13, 8] from Operation: 80/10=8
Current State: 86:[18, 13, 8], Operations: ['80/10=8']
Exploring Operation: 13*8=104, Resulting Numbers: [18, 104]
Generated Node #3: [18, 104] from Operation: 13*8=104
Current State: 86:[18, 104], Operations: ['80/10=8', '13*8=104']
Exploring Operation: 104-18=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
16,
45,
93,
41
] | 81 | [
"45-16=29",
"93-41=52",
"29+52=81"
] | Current State: 81:[16, 45, 93, 41], Operations: []
Exploring Operation: 45-16=29, Resulting Numbers: [93, 41, 29]
Generated Node #2: [93, 41, 29] from Operation: 45-16=29
Current State: 81:[93, 41, 29], Operations: ['45-16=29']
Exploring Operation: 93-41=52, Resulting Numbers: [29, 52]
Generated Node #3: [29, 52] from Operation: 93-41=52
Current State: 81:[29, 52], Operations: ['45-16=29', '93-41=52']
Exploring Operation: 29+52=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
55,
71,
50,
85
] | 70 | [
"55-50=5",
"85-71=14",
"5*14=70"
] | Current State: 70:[55, 71, 50, 85], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [71, 85, 5]
Generated Node #2: [71, 85, 5] from Operation: 55-50=5
Current State: 70:[71, 85, 5], Operations: ['55-50=5']
Exploring Operation: 85-71=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 85-71=14
Current State: 70:[5, 14], Operations: ['55-50=5', '85-71=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
2,
84,
35,
61
] | 81 | [
"84-61=23",
"2*23=46",
"35+46=81"
] | Current State: 81:[2, 84, 35, 61], Operations: []
Exploring Operation: 84-61=23, Resulting Numbers: [2, 35, 23]
Generated Node #2: [2, 35, 23] from Operation: 84-61=23
Current State: 81:[2, 35, 23], Operations: ['84-61=23']
Exploring Operation: 2*23=46, Resulting Numbers: [35, 46]
Generated Node #3: [35, 46] from Operation: 2*23=46
Current State: 81:[35, 46], Operations: ['84-61=23', '2*23=46']
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
34,
92,
37,
68
] | 47 | [
"92-34=58",
"37+68=105",
"105-58=47"
] | Current State: 47:[34, 92, 37, 68], Operations: []
Exploring Operation: 92-34=58, Resulting Numbers: [37, 68, 58]
Generated Node #2: [37, 68, 58] from Operation: 92-34=58
Current State: 47:[37, 68, 58], Operations: ['92-34=58']
Exploring Operation: 37+68=105, Resulting Numbers: [58, 105]
Generated Node #3: [58, 105] from Operation: 37+68=105
Current State: 47:[58, 105], Operations: ['92-34=58', '37+68=105']
Exploring Operation: 105-58=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
56,
28,
20,
59
] | 24 | [
"59-56=3",
"28-20=8",
"3*8=24"
] | Current State: 24:[56, 28, 20, 59], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [28, 20, 3]
Generated Node #2: [28, 20, 3] from Operation: 59-56=3
Current State: 24:[28, 20, 3], Operations: ['59-56=3']
Exploring Operation: 28-20=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 28-20=8
Current State: 24:[3, 8], Operations: ['59-56=3', '28-20=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
98,
59,
2,
84
] | 24 | [
"98/2=49",
"84-59=25",
"49-25=24"
] | Current State: 24:[98, 59, 2, 84], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [59, 84, 49]
Generated Node #2: [59, 84, 49] from Operation: 98/2=49
Current State: 24:[59, 84, 49], Operations: ['98/2=49']
Exploring Operation: 84-59=25, Resulting Numbers: [49, 25]
Generated Node #3: [49, 25] from Operation: 84-59=25
Current State: 24:[49, 25], Operations: ['98/2=49', '84-59=25']
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
97,
48,
95
] | 56 | [
"97-10=87",
"48+95=143",
"143-87=56"
] | Current State: 56:[10, 97, 48, 95], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [48, 95, 87]
Generated Node #2: [48, 95, 87] from Operation: 97-10=87
Current State: 56:[48, 95, 87], Operations: ['97-10=87']
Exploring Operation: 48+95=143, Resulting Numbers: [87, 143]
Generated Node #3: [87, 143] from Operation: 48+95=143
Current State: 56:[87, 143], Operations: ['97-10=87', '48+95=143']
Exploring Operation: 143-87=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
37,
9,
71,
31
] | 74 | [
"37-9=28",
"71+31=102",
"102-28=74"
] | Current State: 74:[37, 9, 71, 31], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [71, 31, 28]
Generated Node #2: [71, 31, 28] from Operation: 37-9=28
Current State: 74:[71, 31, 28], Operations: ['37-9=28']
Exploring Operation: 71+31=102, Resulting Numbers: [28, 102]
Generated Node #3: [28, 102] from Operation: 71+31=102
Current State: 74:[28, 102], Operations: ['37-9=28', '71+31=102']
Exploring Operation: 102-28=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
40,
2,
13,
10
] | 86 | [
"40+13=53",
"53-10=43",
"2*43=86"
] | Current State: 86:[40, 2, 13, 10], Operations: []
Exploring Operation: 40+13=53, Resulting Numbers: [2, 10, 53]
Generated Node #2: [2, 10, 53] from Operation: 40+13=53
Current State: 86:[2, 10, 53], Operations: ['40+13=53']
Exploring Operation: 53-10=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 53-10=43
Current State: 86:[2, 43], Operations: ['40+13=53', '53-10=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
13,
69,
50,
74
] | 67 | [
"50-13=37",
"74/37=2",
"69-2=67"
] | Current State: 67:[13, 69, 50, 74], Operations: []
Exploring Operation: 50-13=37, Resulting Numbers: [69, 74, 37]
Generated Node #2: [69, 74, 37] from Operation: 50-13=37
Current State: 67:[69, 74, 37], Operations: ['50-13=37']
Exploring Operation: 74/37=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 74/37=2
Current State: 67:[69, 2], Operations: ['50-13=37', '74/37=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
35,
58,
26,
28
] | 21 | [
"58-35=23",
"28-26=2",
"23-2=21"
] | Current State: 21:[35, 58, 26, 28], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [26, 28, 23]
Generated Node #2: [26, 28, 23] from Operation: 58-35=23
Current State: 21:[26, 28, 23], Operations: ['58-35=23']
Exploring Operation: 28-26=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 28-26=2
Current State: 21:[23, 2], Operations: ['58-35=23', '28-26=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
18,
83,
98,
78
] | 16 | [
"98-18=80",
"83-78=5",
"80/5=16"
] | Current State: 16:[18, 83, 98, 78], Operations: []
Exploring Operation: 98-18=80, Resulting Numbers: [83, 78, 80]
Generated Node #2: [83, 78, 80] from Operation: 98-18=80
Current State: 16:[83, 78, 80], Operations: ['98-18=80']
Exploring Operation: 83-78=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 83-78=5
Current State: 16:[80, 5], Operations: ['98-18=80', '83-78=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
31,
70,
3,
1
] | 26 | [
"31+1=32",
"3*32=96",
"96-70=26"
] | Current State: 26:[31, 70, 3, 1], Operations: []
Exploring Operation: 31+1=32, Resulting Numbers: [70, 3, 32]
Generated Node #2: [70, 3, 32] from Operation: 31+1=32
Current State: 26:[70, 3, 32], Operations: ['31+1=32']
Exploring Operation: 3*32=96, Resulting Numbers: [70, 96]
Generated Node #3: [70, 96] from Operation: 3*32=96
Current State: 26:[70, 96], Operations: ['31+1=32', '3*32=96']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
22,
19,
63,
47
] | 19 | [
"22-19=3",
"63-47=16",
"3+16=19"
] | Current State: 19:[22, 19, 63, 47], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [63, 47, 3]
Generated Node #2: [63, 47, 3] from Operation: 22-19=3
Current State: 19:[63, 47, 3], Operations: ['22-19=3']
Exploring Operation: 63-47=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 63-47=16
Current State: 19:[3, 16], Operations: ['22-19=3', '63-47=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
98,
8,
28,
5
] | 50 | [
"98-8=90",
"28*5=140",
"140-90=50"
] | Current State: 50:[98, 8, 28, 5], Operations: []
Exploring Operation: 98-8=90, Resulting Numbers: [28, 5, 90]
Generated Node #2: [28, 5, 90] from Operation: 98-8=90
Current State: 50:[28, 5, 90], Operations: ['98-8=90']
Exploring Operation: 28*5=140, Resulting Numbers: [90, 140]
Generated Node #3: [90, 140] from Operation: 28*5=140
Current State: 50:[90, 140], Operations: ['98-8=90', '28*5=140']
Exploring Operation: 140-90=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
30,
21,
85,
37
] | 71 | [
"30+21=51",
"85+37=122",
"122-51=71"
] | Current State: 71:[30, 21, 85, 37], Operations: []
Exploring Operation: 30+21=51, Resulting Numbers: [85, 37, 51]
Generated Node #2: [85, 37, 51] from Operation: 30+21=51
Current State: 71:[85, 37, 51], Operations: ['30+21=51']
Exploring Operation: 85+37=122, Resulting Numbers: [51, 122]
Generated Node #3: [51, 122] from Operation: 85+37=122
Current State: 71:[51, 122], Operations: ['30+21=51', '85+37=122']
Exploring Operation: 122-51=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
74,
68,
5,
20
] | 70 | [
"74-68=6",
"20-6=14",
"5*14=70"
] | Current State: 70:[74, 68, 5, 20], Operations: []
Exploring Operation: 74-68=6, Resulting Numbers: [5, 20, 6]
Generated Node #2: [5, 20, 6] from Operation: 74-68=6
Current State: 70:[5, 20, 6], Operations: ['74-68=6']
Exploring Operation: 20-6=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 20-6=14
Current State: 70:[5, 14], Operations: ['74-68=6', '20-6=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
54,
53,
53,
2
] | 55 | [
"54-53=1",
"53+2=55",
"1*55=55"
] | Current State: 55:[54, 53, 53, 2], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [2, 1]
Generated Node #2: [2, 1] from Operation: 54-53=1
Current State: 55:[2, 1], Operations: ['54-53=1']
Exploring Operation: 53+2=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 53+2=55
Current State: 55:[1, 55], Operations: ['54-53=1', '53+2=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
42,
42,
49,
98
] | 48 | [
"42/42=1",
"98-49=49",
"49-1=48"
] | Current State: 48:[42, 42, 49, 98], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [49, 98, 1]
Generated Node #2: [49, 98, 1] from Operation: 42/42=1
Current State: 48:[49, 98, 1], Operations: ['42/42=1']
Exploring Operation: 98-49=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 98-49=49
Current State: 48:[1, 49], Operations: ['42/42=1', '98-49=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
77,
80,
72,
56
] | 53 | [
"77*56=4312",
"4312-72=4240",
"4240/80=53"
] | Current State: 53:[77, 80, 72, 56], Operations: []
Exploring Operation: 77*56=4312, Resulting Numbers: [80, 72, 4312]
Generated Node #2: [80, 72, 4312] from Operation: 77*56=4312
Current State: 53:[80, 72, 4312], Operations: ['77*56=4312']
Exploring Operation: 4312-72=4240, Resulting Numbers: [80, 4240]
Generated Node #3: [80, 4240] from Operation: 4312-72=4240
Current State: 53:[80, 4240], Operations: ['77*56=4312', '4312-72=4240']
Exploring Operation: 4240/80=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
63,
56,
75,
88
] | 44 | [
"63+56=119",
"75+88=163",
"163-119=44"
] | Current State: 44:[63, 56, 75, 88], Operations: []
Exploring Operation: 63+56=119, Resulting Numbers: [75, 88, 119]
Generated Node #2: [75, 88, 119] from Operation: 63+56=119
Current State: 44:[75, 88, 119], Operations: ['63+56=119']
Exploring Operation: 75+88=163, Resulting Numbers: [119, 163]
Generated Node #3: [119, 163] from Operation: 75+88=163
Current State: 44:[119, 163], Operations: ['63+56=119', '75+88=163']
Exploring Operation: 163-119=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
18,
81,
50,
91
] | 23 | [
"91-81=10",
"50/10=5",
"18+5=23"
] | Current State: 23:[18, 81, 50, 91], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [18, 50, 10]
Generated Node #2: [18, 50, 10] from Operation: 91-81=10
Current State: 23:[18, 50, 10], Operations: ['91-81=10']
Exploring Operation: 50/10=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 50/10=5
Current State: 23:[18, 5], Operations: ['91-81=10', '50/10=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
87,
46,
62,
6
] | 77 | [
"87+46=133",
"62-6=56",
"133-56=77"
] | Current State: 77:[87, 46, 62, 6], Operations: []
Exploring Operation: 87+46=133, Resulting Numbers: [62, 6, 133]
Generated Node #2: [62, 6, 133] from Operation: 87+46=133
Current State: 77:[62, 6, 133], Operations: ['87+46=133']
Exploring Operation: 62-6=56, Resulting Numbers: [133, 56]
Generated Node #3: [133, 56] from Operation: 62-6=56
Current State: 77:[133, 56], Operations: ['87+46=133', '62-6=56']
Exploring Operation: 133-56=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
64,
17,
14,
16
] | 15 | [
"16-14=2",
"64/2=32",
"32-17=15"
] | Current State: 15:[64, 17, 14, 16], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [64, 17, 2]
Generated Node #2: [64, 17, 2] from Operation: 16-14=2
Current State: 15:[64, 17, 2], Operations: ['16-14=2']
Exploring Operation: 64/2=32, Resulting Numbers: [17, 32]
Generated Node #3: [17, 32] from Operation: 64/2=32
Current State: 15:[17, 32], Operations: ['16-14=2', '64/2=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
34,
84,
72,
16
] | 88 | [
"34-16=18",
"72/18=4",
"84+4=88"
] | Current State: 88:[34, 84, 72, 16], Operations: []
Exploring Operation: 34-16=18, Resulting Numbers: [84, 72, 18]
Generated Node #2: [84, 72, 18] from Operation: 34-16=18
Current State: 88:[84, 72, 18], Operations: ['34-16=18']
Exploring Operation: 72/18=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 72/18=4
Current State: 88:[84, 4], Operations: ['34-16=18', '72/18=4']
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
13,
64,
44,
33
] | 35 | [
"64*33=2112",
"2112/44=48",
"48-13=35"
] | Current State: 35:[13, 64, 44, 33], Operations: []
Exploring Operation: 64*33=2112, Resulting Numbers: [13, 44, 2112]
Generated Node #2: [13, 44, 2112] from Operation: 64*33=2112
Current State: 35:[13, 44, 2112], Operations: ['64*33=2112']
Exploring Operation: 2112/44=48, Resulting Numbers: [13, 48]
Generated Node #3: [13, 48] from Operation: 2112/44=48
Current State: 35:[13, 48], Operations: ['64*33=2112', '2112/44=48']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
42,
93,
49,
51
] | 50 | [
"93-42=51",
"51/51=1",
"49+1=50"
] | Current State: 50:[42, 93, 49, 51], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [49, 51, 51]
Generated Node #2: [49, 51, 51] from Operation: 93-42=51
Current State: 50:[49, 51, 51], Operations: ['93-42=51']
Exploring Operation: 51/51=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 51/51=1
Current State: 50:[49, 1], Operations: ['93-42=51', '51/51=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
85,
24,
38,
86
] | 63 | [
"85-24=61",
"38+86=124",
"124-61=63"
] | Current State: 63:[85, 24, 38, 86], Operations: []
Exploring Operation: 85-24=61, Resulting Numbers: [38, 86, 61]
Generated Node #2: [38, 86, 61] from Operation: 85-24=61
Current State: 63:[38, 86, 61], Operations: ['85-24=61']
Exploring Operation: 38+86=124, Resulting Numbers: [61, 124]
Generated Node #3: [61, 124] from Operation: 38+86=124
Current State: 63:[61, 124], Operations: ['85-24=61', '38+86=124']
Exploring Operation: 124-61=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
92,
52,
24,
96
] | 19 | [
"96-92=4",
"52+24=76",
"76/4=19"
] | Current State: 19:[92, 52, 24, 96], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [52, 24, 4]
Generated Node #2: [52, 24, 4] from Operation: 96-92=4
Current State: 19:[52, 24, 4], Operations: ['96-92=4']
Exploring Operation: 52+24=76, Resulting Numbers: [4, 76]
Generated Node #3: [4, 76] from Operation: 52+24=76
Current State: 19:[4, 76], Operations: ['96-92=4', '52+24=76']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
6,
95,
13,
99
] | 74 | [
"6*13=78",
"99-95=4",
"78-4=74"
] | Current State: 74:[6, 95, 13, 99], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [95, 99, 78]
Generated Node #2: [95, 99, 78] from Operation: 6*13=78
Current State: 74:[95, 99, 78], Operations: ['6*13=78']
Exploring Operation: 99-95=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 99-95=4
Current State: 74:[78, 4], Operations: ['6*13=78', '99-95=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
81,
44,
33,
42
] | 50 | [
"81+44=125",
"33+42=75",
"125-75=50"
] | Current State: 50:[81, 44, 33, 42], Operations: []
Exploring Operation: 81+44=125, Resulting Numbers: [33, 42, 125]
Generated Node #2: [33, 42, 125] from Operation: 81+44=125
Current State: 50:[33, 42, 125], Operations: ['81+44=125']
Exploring Operation: 33+42=75, Resulting Numbers: [125, 75]
Generated Node #3: [125, 75] from Operation: 33+42=75
Current State: 50:[125, 75], Operations: ['81+44=125', '33+42=75']
Exploring Operation: 125-75=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
99,
66,
84,
54
] | 88 | [
"99*84=8316",
"8316/54=154",
"154-66=88"
] | Current State: 88:[99, 66, 84, 54], Operations: []
Exploring Operation: 99*84=8316, Resulting Numbers: [66, 54, 8316]
Generated Node #2: [66, 54, 8316] from Operation: 99*84=8316
Current State: 88:[66, 54, 8316], Operations: ['99*84=8316']
Exploring Operation: 8316/54=154, Resulting Numbers: [66, 154]
Generated Node #3: [66, 154] from Operation: 8316/54=154
Current State: 88:[66, 154], Operations: ['99*84=8316', '8316/54=154']
Exploring Operation: 154-66=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
4,
82,
94,
38
] | 82 | [
"82+94=176",
"176/4=44",
"38+44=82"
] | Current State: 82:[4, 82, 94, 38], Operations: []
Exploring Operation: 82+94=176, Resulting Numbers: [4, 38, 176]
Generated Node #2: [4, 38, 176] from Operation: 82+94=176
Current State: 82:[4, 38, 176], Operations: ['82+94=176']
Exploring Operation: 176/4=44, Resulting Numbers: [38, 44]
Generated Node #3: [38, 44] from Operation: 176/4=44
Current State: 82:[38, 44], Operations: ['82+94=176', '176/4=44']
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
79,
16,
13,
50
] | 43 | [
"79+50=129",
"16-13=3",
"129/3=43"
] | Current State: 43:[79, 16, 13, 50], Operations: []
Exploring Operation: 79+50=129, Resulting Numbers: [16, 13, 129]
Generated Node #2: [16, 13, 129] from Operation: 79+50=129
Current State: 43:[16, 13, 129], Operations: ['79+50=129']
Exploring Operation: 16-13=3, Resulting Numbers: [129, 3]
Generated Node #3: [129, 3] from Operation: 16-13=3
Current State: 43:[129, 3], Operations: ['79+50=129', '16-13=3']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
23,
69,
55,
20
] | 25 | [
"69/23=3",
"55+20=75",
"75/3=25"
] | Current State: 25:[23, 69, 55, 20], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [55, 20, 3]
Generated Node #2: [55, 20, 3] from Operation: 69/23=3
Current State: 25:[55, 20, 3], Operations: ['69/23=3']
Exploring Operation: 55+20=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 55+20=75
Current State: 25:[3, 75], Operations: ['69/23=3', '55+20=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
82,
11,
41,
15
] | 82 | [
"15-11=4",
"41*4=164",
"164-82=82"
] | Current State: 82:[82, 11, 41, 15], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [82, 41, 4]
Generated Node #2: [82, 41, 4] from Operation: 15-11=4
Current State: 82:[82, 41, 4], Operations: ['15-11=4']
Exploring Operation: 41*4=164, Resulting Numbers: [82, 164]
Generated Node #3: [82, 164] from Operation: 41*4=164
Current State: 82:[82, 164], Operations: ['15-11=4', '41*4=164']
Exploring Operation: 164-82=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
13,
5,
10,
88
] | 23 | [
"10-5=5",
"13*5=65",
"88-65=23"
] | Current State: 23:[13, 5, 10, 88], Operations: []
Exploring Operation: 10-5=5, Resulting Numbers: [13, 88, 5]
Generated Node #2: [13, 88, 5] from Operation: 10-5=5
Current State: 23:[13, 88, 5], Operations: ['10-5=5']
Exploring Operation: 13*5=65, Resulting Numbers: [88, 65]
Generated Node #3: [88, 65] from Operation: 13*5=65
Current State: 23:[88, 65], Operations: ['10-5=5', '13*5=65']
Exploring Operation: 88-65=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
19,
25,
97,
74
] | 17 | [
"25-19=6",
"97-74=23",
"23-6=17"
] | Current State: 17:[19, 25, 97, 74], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [97, 74, 6]
Generated Node #2: [97, 74, 6] from Operation: 25-19=6
Current State: 17:[97, 74, 6], Operations: ['25-19=6']
Exploring Operation: 97-74=23, Resulting Numbers: [6, 23]
Generated Node #3: [6, 23] from Operation: 97-74=23
Current State: 17:[6, 23], Operations: ['25-19=6', '97-74=23']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
55,
30,
86,
97
] | 98 | [
"55+30=85",
"86+97=183",
"183-85=98"
] | Current State: 98:[55, 30, 86, 97], Operations: []
Exploring Operation: 55+30=85, Resulting Numbers: [86, 97, 85]
Generated Node #2: [86, 97, 85] from Operation: 55+30=85
Current State: 98:[86, 97, 85], Operations: ['55+30=85']
Exploring Operation: 86+97=183, Resulting Numbers: [85, 183]
Generated Node #3: [85, 183] from Operation: 86+97=183
Current State: 98:[85, 183], Operations: ['55+30=85', '86+97=183']
Exploring Operation: 183-85=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
77,
3,
6,
60
] | 43 | [
"6/3=2",
"60*2=120",
"120-77=43"
] | Current State: 43:[77, 3, 6, 60], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [77, 60, 2]
Generated Node #2: [77, 60, 2] from Operation: 6/3=2
Current State: 43:[77, 60, 2], Operations: ['6/3=2']
Exploring Operation: 60*2=120, Resulting Numbers: [77, 120]
Generated Node #3: [77, 120] from Operation: 60*2=120
Current State: 43:[77, 120], Operations: ['6/3=2', '60*2=120']
Exploring Operation: 120-77=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
7,
9,
80,
67
] | 12 | [
"67-7=60",
"9*80=720",
"720/60=12"
] | Current State: 12:[7, 9, 80, 67], Operations: []
Exploring Operation: 67-7=60, Resulting Numbers: [9, 80, 60]
Generated Node #2: [9, 80, 60] from Operation: 67-7=60
Current State: 12:[9, 80, 60], Operations: ['67-7=60']
Exploring Operation: 9*80=720, Resulting Numbers: [60, 720]
Generated Node #3: [60, 720] from Operation: 9*80=720
Current State: 12:[60, 720], Operations: ['67-7=60', '9*80=720']
Exploring Operation: 720/60=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
84,
89,
60,
26
] | 38 | [
"89-84=5",
"60/5=12",
"26+12=38"
] | Current State: 38:[84, 89, 60, 26], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [60, 26, 5]
Generated Node #2: [60, 26, 5] from Operation: 89-84=5
Current State: 38:[60, 26, 5], Operations: ['89-84=5']
Exploring Operation: 60/5=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 60/5=12
Current State: 38:[26, 12], Operations: ['89-84=5', '60/5=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
77,
25,
12,
4
] | 25 | [
"77-25=52",
"52/4=13",
"12+13=25"
] | Current State: 25:[77, 25, 12, 4], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [12, 4, 52]
Generated Node #2: [12, 4, 52] from Operation: 77-25=52
Current State: 25:[12, 4, 52], Operations: ['77-25=52']
Exploring Operation: 52/4=13, Resulting Numbers: [12, 13]
Generated Node #3: [12, 13] from Operation: 52/4=13
Current State: 25:[12, 13], Operations: ['77-25=52', '52/4=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
49,
71,
5,
74
] | 41 | [
"49+71=120",
"5+74=79",
"120-79=41"
] | Current State: 41:[49, 71, 5, 74], Operations: []
Exploring Operation: 49+71=120, Resulting Numbers: [5, 74, 120]
Generated Node #2: [5, 74, 120] from Operation: 49+71=120
Current State: 41:[5, 74, 120], Operations: ['49+71=120']
Exploring Operation: 5+74=79, Resulting Numbers: [120, 79]
Generated Node #3: [120, 79] from Operation: 5+74=79
Current State: 41:[120, 79], Operations: ['49+71=120', '5+74=79']
Exploring Operation: 120-79=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
13,
27,
84,
85
] | 15 | [
"27-13=14",
"85-84=1",
"14+1=15"
] | Current State: 15:[13, 27, 84, 85], Operations: []
Exploring Operation: 27-13=14, Resulting Numbers: [84, 85, 14]
Generated Node #2: [84, 85, 14] from Operation: 27-13=14
Current State: 15:[84, 85, 14], Operations: ['27-13=14']
Exploring Operation: 85-84=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 85-84=1
Current State: 15:[14, 1], Operations: ['27-13=14', '85-84=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
15,
6,
30,
34
] | 95 | [
"34-15=19",
"30/6=5",
"19*5=95"
] | Current State: 95:[15, 6, 30, 34], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [6, 30, 19]
Generated Node #2: [6, 30, 19] from Operation: 34-15=19
Current State: 95:[6, 30, 19], Operations: ['34-15=19']
Exploring Operation: 30/6=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 30/6=5
Current State: 95:[19, 5], Operations: ['34-15=19', '30/6=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
11,
69,
15,
6
] | 23 | [
"11-6=5",
"69*5=345",
"345/15=23"
] | Current State: 23:[11, 69, 15, 6], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [69, 15, 5]
Generated Node #2: [69, 15, 5] from Operation: 11-6=5
Current State: 23:[69, 15, 5], Operations: ['11-6=5']
Exploring Operation: 69*5=345, Resulting Numbers: [15, 345]
Generated Node #3: [15, 345] from Operation: 69*5=345
Current State: 23:[15, 345], Operations: ['11-6=5', '69*5=345']
Exploring Operation: 345/15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
90,
36,
10,
7
] | 92 | [
"36-10=26",
"7*26=182",
"182-90=92"
] | Current State: 92:[90, 36, 10, 7], Operations: []
Exploring Operation: 36-10=26, Resulting Numbers: [90, 7, 26]
Generated Node #2: [90, 7, 26] from Operation: 36-10=26
Current State: 92:[90, 7, 26], Operations: ['36-10=26']
Exploring Operation: 7*26=182, Resulting Numbers: [90, 182]
Generated Node #3: [90, 182] from Operation: 7*26=182
Current State: 92:[90, 182], Operations: ['36-10=26', '7*26=182']
Exploring Operation: 182-90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
34,
76,
38,
5
] | 63 | [
"34*76=2584",
"2584/38=68",
"68-5=63"
] | Current State: 63:[34, 76, 38, 5], Operations: []
Exploring Operation: 34*76=2584, Resulting Numbers: [38, 5, 2584]
Generated Node #2: [38, 5, 2584] from Operation: 34*76=2584
Current State: 63:[38, 5, 2584], Operations: ['34*76=2584']
Exploring Operation: 2584/38=68, Resulting Numbers: [5, 68]
Generated Node #3: [5, 68] from Operation: 2584/38=68
Current State: 63:[5, 68], Operations: ['34*76=2584', '2584/38=68']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
60,
46,
15,
3
] | 39 | [
"60/15=4",
"46-3=43",
"43-4=39"
] | Current State: 39:[60, 46, 15, 3], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [46, 3, 4]
Generated Node #2: [46, 3, 4] from Operation: 60/15=4
Current State: 39:[46, 3, 4], Operations: ['60/15=4']
Exploring Operation: 46-3=43, Resulting Numbers: [4, 43]
Generated Node #3: [4, 43] from Operation: 46-3=43
Current State: 39:[4, 43], Operations: ['60/15=4', '46-3=43']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
4,
78,
95,
33
] | 26 | [
"4+95=99",
"78*33=2574",
"2574/99=26"
] | Current State: 26:[4, 78, 95, 33], Operations: []
Exploring Operation: 4+95=99, Resulting Numbers: [78, 33, 99]
Generated Node #2: [78, 33, 99] from Operation: 4+95=99
Current State: 26:[78, 33, 99], Operations: ['4+95=99']
Exploring Operation: 78*33=2574, Resulting Numbers: [99, 2574]
Generated Node #3: [99, 2574] from Operation: 78*33=2574
Current State: 26:[99, 2574], Operations: ['4+95=99', '78*33=2574']
Exploring Operation: 2574/99=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
25,
18,
45,
35
] | 81 | [
"35-25=10",
"18*45=810",
"810/10=81"
] | Current State: 81:[25, 18, 45, 35], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [18, 45, 10]
Generated Node #2: [18, 45, 10] from Operation: 35-25=10
Current State: 81:[18, 45, 10], Operations: ['35-25=10']
Exploring Operation: 18*45=810, Resulting Numbers: [10, 810]
Generated Node #3: [10, 810] from Operation: 18*45=810
Current State: 81:[10, 810], Operations: ['35-25=10', '18*45=810']
Exploring Operation: 810/10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
39,
9,
16,
77
] | 74 | [
"39+9=48",
"48/16=3",
"77-3=74"
] | Current State: 74:[39, 9, 16, 77], Operations: []
Exploring Operation: 39+9=48, Resulting Numbers: [16, 77, 48]
Generated Node #2: [16, 77, 48] from Operation: 39+9=48
Current State: 74:[16, 77, 48], Operations: ['39+9=48']
Exploring Operation: 48/16=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 48/16=3
Current State: 74:[77, 3], Operations: ['39+9=48', '48/16=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
80,
2,
98,
56
] | 73 | [
"80-56=24",
"98/2=49",
"24+49=73"
] | Current State: 73:[80, 2, 98, 56], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [2, 98, 24]
Generated Node #2: [2, 98, 24] from Operation: 80-56=24
Current State: 73:[2, 98, 24], Operations: ['80-56=24']
Exploring Operation: 98/2=49, Resulting Numbers: [24, 49]
Generated Node #3: [24, 49] from Operation: 98/2=49
Current State: 73:[24, 49], Operations: ['80-56=24', '98/2=49']
Exploring Operation: 24+49=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
28,
12,
87,
53
] | 14 | [
"28+87=115",
"53+115=168",
"168/12=14"
] | Current State: 14:[28, 12, 87, 53], Operations: []
Exploring Operation: 28+87=115, Resulting Numbers: [12, 53, 115]
Generated Node #2: [12, 53, 115] from Operation: 28+87=115
Current State: 14:[12, 53, 115], Operations: ['28+87=115']
Exploring Operation: 53+115=168, Resulting Numbers: [12, 168]
Generated Node #3: [12, 168] from Operation: 53+115=168
Current State: 14:[12, 168], Operations: ['28+87=115', '53+115=168']
Exploring Operation: 168/12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
78,
21,
84,
64
] | 79 | [
"78+21=99",
"84-64=20",
"99-20=79"
] | Current State: 79:[78, 21, 84, 64], Operations: []
Exploring Operation: 78+21=99, Resulting Numbers: [84, 64, 99]
Generated Node #2: [84, 64, 99] from Operation: 78+21=99
Current State: 79:[84, 64, 99], Operations: ['78+21=99']
Exploring Operation: 84-64=20, Resulting Numbers: [99, 20]
Generated Node #3: [99, 20] from Operation: 84-64=20
Current State: 79:[99, 20], Operations: ['78+21=99', '84-64=20']
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
70,
72,
45,
90
] | 92 | [
"70+45=115",
"72*115=8280",
"8280/90=92"
] | Current State: 92:[70, 72, 45, 90], Operations: []
Exploring Operation: 70+45=115, Resulting Numbers: [72, 90, 115]
Generated Node #2: [72, 90, 115] from Operation: 70+45=115
Current State: 92:[72, 90, 115], Operations: ['70+45=115']
Exploring Operation: 72*115=8280, Resulting Numbers: [90, 8280]
Generated Node #3: [90, 8280] from Operation: 72*115=8280
Current State: 92:[90, 8280], Operations: ['70+45=115', '72*115=8280']
Exploring Operation: 8280/90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
81,
34,
98,
24
] | 22 | [
"98-81=17",
"34/17=2",
"24-2=22"
] | Current State: 22:[81, 34, 98, 24], Operations: []
Exploring Operation: 98-81=17, Resulting Numbers: [34, 24, 17]
Generated Node #2: [34, 24, 17] from Operation: 98-81=17
Current State: 22:[34, 24, 17], Operations: ['98-81=17']
Exploring Operation: 34/17=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 34/17=2
Current State: 22:[24, 2], Operations: ['98-81=17', '34/17=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
2,
1,
3,
31
] | 100 | [
"2+31=33",
"3*33=99",
"1+99=100"
] | Current State: 100:[2, 1, 3, 31], Operations: []
Exploring Operation: 2+31=33, Resulting Numbers: [1, 3, 33]
Generated Node #2: [1, 3, 33] from Operation: 2+31=33
Current State: 100:[1, 3, 33], Operations: ['2+31=33']
Exploring Operation: 3*33=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 3*33=99
Current State: 100:[1, 99], Operations: ['2+31=33', '3*33=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
96,
85,
23,
5
] | 56 | [
"96-23=73",
"85/5=17",
"73-17=56"
] | Current State: 56:[96, 85, 23, 5], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [85, 5, 73]
Generated Node #2: [85, 5, 73] from Operation: 96-23=73
Current State: 56:[85, 5, 73], Operations: ['96-23=73']
Exploring Operation: 85/5=17, Resulting Numbers: [73, 17]
Generated Node #3: [73, 17] from Operation: 85/5=17
Current State: 56:[73, 17], Operations: ['96-23=73', '85/5=17']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
80,
51,
56,
19
] | 94 | [
"80+51=131",
"56-19=37",
"131-37=94"
] | Current State: 94:[80, 51, 56, 19], Operations: []
Exploring Operation: 80+51=131, Resulting Numbers: [56, 19, 131]
Generated Node #2: [56, 19, 131] from Operation: 80+51=131
Current State: 94:[56, 19, 131], Operations: ['80+51=131']
Exploring Operation: 56-19=37, Resulting Numbers: [131, 37]
Generated Node #3: [131, 37] from Operation: 56-19=37
Current State: 94:[131, 37], Operations: ['80+51=131', '56-19=37']
Exploring Operation: 131-37=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
59,
15,
20,
3
] | 27 | [
"59-15=44",
"20-3=17",
"44-17=27"
] | Current State: 27:[59, 15, 20, 3], Operations: []
Exploring Operation: 59-15=44, Resulting Numbers: [20, 3, 44]
Generated Node #2: [20, 3, 44] from Operation: 59-15=44
Current State: 27:[20, 3, 44], Operations: ['59-15=44']
Exploring Operation: 20-3=17, Resulting Numbers: [44, 17]
Generated Node #3: [44, 17] from Operation: 20-3=17
Current State: 27:[44, 17], Operations: ['59-15=44', '20-3=17']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
61,
92,
6,
4
] | 77 | [
"92*6=552",
"552/4=138",
"138-61=77"
] | Current State: 77:[61, 92, 6, 4], Operations: []
Exploring Operation: 92*6=552, Resulting Numbers: [61, 4, 552]
Generated Node #2: [61, 4, 552] from Operation: 92*6=552
Current State: 77:[61, 4, 552], Operations: ['92*6=552']
Exploring Operation: 552/4=138, Resulting Numbers: [61, 138]
Generated Node #3: [61, 138] from Operation: 552/4=138
Current State: 77:[61, 138], Operations: ['92*6=552', '552/4=138']
Exploring Operation: 138-61=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
28,
38,
77,
66
] | 62 | [
"28*66=1848",
"1848/77=24",
"38+24=62"
] | Current State: 62:[28, 38, 77, 66], Operations: []
Exploring Operation: 28*66=1848, Resulting Numbers: [38, 77, 1848]
Generated Node #2: [38, 77, 1848] from Operation: 28*66=1848
Current State: 62:[38, 77, 1848], Operations: ['28*66=1848']
Exploring Operation: 1848/77=24, Resulting Numbers: [38, 24]
Generated Node #3: [38, 24] from Operation: 1848/77=24
Current State: 62:[38, 24], Operations: ['28*66=1848', '1848/77=24']
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
14,
88,
86,
84
] | 56 | [
"88-86=2",
"14*2=28",
"84-28=56"
] | Current State: 56:[14, 88, 86, 84], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [14, 84, 2]
Generated Node #2: [14, 84, 2] from Operation: 88-86=2
Current State: 56:[14, 84, 2], Operations: ['88-86=2']
Exploring Operation: 14*2=28, Resulting Numbers: [84, 28]
Generated Node #3: [84, 28] from Operation: 14*2=28
Current State: 56:[84, 28], Operations: ['88-86=2', '14*2=28']
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
68,
71,
1,
5
] | 16 | [
"71-68=3",
"5*3=15",
"1+15=16"
] | Current State: 16:[68, 71, 1, 5], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [1, 5, 3]
Generated Node #2: [1, 5, 3] from Operation: 71-68=3
Current State: 16:[1, 5, 3], Operations: ['71-68=3']
Exploring Operation: 5*3=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 5*3=15
Current State: 16:[1, 15], Operations: ['71-68=3', '5*3=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
22,
5,
12,
18
] | 80 | [
"22*5=110",
"12+18=30",
"110-30=80"
] | Current State: 80:[22, 5, 12, 18], Operations: []
Exploring Operation: 22*5=110, Resulting Numbers: [12, 18, 110]
Generated Node #2: [12, 18, 110] from Operation: 22*5=110
Current State: 80:[12, 18, 110], Operations: ['22*5=110']
Exploring Operation: 12+18=30, Resulting Numbers: [110, 30]
Generated Node #3: [110, 30] from Operation: 12+18=30
Current State: 80:[110, 30], Operations: ['22*5=110', '12+18=30']
Exploring Operation: 110-30=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
56,
52,
44,
17
] | 47 | [
"56+52=108",
"44+17=61",
"108-61=47"
] | Current State: 47:[56, 52, 44, 17], Operations: []
Exploring Operation: 56+52=108, Resulting Numbers: [44, 17, 108]
Generated Node #2: [44, 17, 108] from Operation: 56+52=108
Current State: 47:[44, 17, 108], Operations: ['56+52=108']
Exploring Operation: 44+17=61, Resulting Numbers: [108, 61]
Generated Node #3: [108, 61] from Operation: 44+17=61
Current State: 47:[108, 61], Operations: ['56+52=108', '44+17=61']
Exploring Operation: 108-61=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
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