nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
25,
59,
76,
29
] | 40 | [
"29-25=4",
"76/4=19",
"59-19=40"
] | Current State: 40:[25, 59, 76, 29], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [59, 76, 4]
Generated Node #2: [59, 76, 4] from Operation: 29-25=4
Current State: 40:[59, 76, 4], Operations: ['29-25=4']
Exploring Operation: 76/4=19, Resulting Numbers: [59, 19]
Generated Node #3: [59, 19] from Operation: 76/4=19
Current State: 40:[59, 19], Operations: ['29-25=4', '76/4=19']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
7,
23,
48,
74
] | 56 | [
"7+23=30",
"74-48=26",
"30+26=56"
] | Current State: 56:[7, 23, 48, 74], Operations: []
Exploring Operation: 7+23=30, Resulting Numbers: [48, 74, 30]
Generated Node #2: [48, 74, 30] from Operation: 7+23=30
Current State: 56:[48, 74, 30], Operations: ['7+23=30']
Exploring Operation: 74-48=26, Resulting Numbers: [30, 26]
Generated Node #3: [30, 26] from Operation: 74-48=26
Current State: 56:[30, 26], Operations: ['7+23=30', '74-48=26']
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
26,
55,
53,
85
] | 98 | [
"55-53=2",
"26/2=13",
"85+13=98"
] | Current State: 98:[26, 55, 53, 85], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [26, 85, 2]
Generated Node #2: [26, 85, 2] from Operation: 55-53=2
Current State: 98:[26, 85, 2], Operations: ['55-53=2']
Exploring Operation: 26/2=13, Resulting Numbers: [85, 13]
Generated Node #3: [85, 13] from Operation: 26/2=13
Current State: 98:[85, 13], Operations: ['55-53=2', '26/2=13']
Exploring Operation: 85+13=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
40,
85,
38,
2
] | 54 | [
"85-38=47",
"2*47=94",
"94-40=54"
] | Current State: 54:[40, 85, 38, 2], Operations: []
Exploring Operation: 85-38=47, Resulting Numbers: [40, 2, 47]
Generated Node #2: [40, 2, 47] from Operation: 85-38=47
Current State: 54:[40, 2, 47], Operations: ['85-38=47']
Exploring Operation: 2*47=94, Resulting Numbers: [40, 94]
Generated Node #3: [40, 94] from Operation: 2*47=94
Current State: 54:[40, 94], Operations: ['85-38=47', '2*47=94']
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
28,
62,
46,
6
] | 60 | [
"28*6=168",
"62+46=108",
"168-108=60"
] | Current State: 60:[28, 62, 46, 6], Operations: []
Exploring Operation: 28*6=168, Resulting Numbers: [62, 46, 168]
Generated Node #2: [62, 46, 168] from Operation: 28*6=168
Current State: 60:[62, 46, 168], Operations: ['28*6=168']
Exploring Operation: 62+46=108, Resulting Numbers: [168, 108]
Generated Node #3: [168, 108] from Operation: 62+46=108
Current State: 60:[168, 108], Operations: ['28*6=168', '62+46=108']
Exploring Operation: 168-108=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
51,
86,
82,
7
] | 40 | [
"86-51=35",
"82-7=75",
"75-35=40"
] | Current State: 40:[51, 86, 82, 7], Operations: []
Exploring Operation: 86-51=35, Resulting Numbers: [82, 7, 35]
Generated Node #2: [82, 7, 35] from Operation: 86-51=35
Current State: 40:[82, 7, 35], Operations: ['86-51=35']
Exploring Operation: 82-7=75, Resulting Numbers: [35, 75]
Generated Node #3: [35, 75] from Operation: 82-7=75
Current State: 40:[35, 75], Operations: ['86-51=35', '82-7=75']
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
93,
10,
83,
88
] | 87 | [
"93-10=83",
"83/83=1",
"88-1=87"
] | Current State: 87:[93, 10, 83, 88], Operations: []
Exploring Operation: 93-10=83, Resulting Numbers: [83, 88, 83]
Generated Node #2: [83, 88, 83] from Operation: 93-10=83
Current State: 87:[83, 88, 83], Operations: ['93-10=83']
Exploring Operation: 83/83=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 83/83=1
Current State: 87:[88, 1], Operations: ['93-10=83', '83/83=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
38,
5,
25,
8
] | 25 | [
"38-25=13",
"13-8=5",
"5*5=25"
] | Current State: 25:[38, 5, 25, 8], Operations: []
Exploring Operation: 38-25=13, Resulting Numbers: [5, 8, 13]
Generated Node #2: [5, 8, 13] from Operation: 38-25=13
Current State: 25:[5, 8, 13], Operations: ['38-25=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5, 5]
Generated Node #3: [5, 5] from Operation: 13-8=5
Current State: 25:[5, 5], Operations: ['38-25=13', '13-8=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
92,
63,
90,
73
] | 46 | [
"92-63=29",
"90-73=17",
"29+17=46"
] | Current State: 46:[92, 63, 90, 73], Operations: []
Exploring Operation: 92-63=29, Resulting Numbers: [90, 73, 29]
Generated Node #2: [90, 73, 29] from Operation: 92-63=29
Current State: 46:[90, 73, 29], Operations: ['92-63=29']
Exploring Operation: 90-73=17, Resulting Numbers: [29, 17]
Generated Node #3: [29, 17] from Operation: 90-73=17
Current State: 46:[29, 17], Operations: ['92-63=29', '90-73=17']
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
13,
22,
3,
1
] | 31 | [
"13+22=35",
"3+1=4",
"35-4=31"
] | Current State: 31:[13, 22, 3, 1], Operations: []
Exploring Operation: 13+22=35, Resulting Numbers: [3, 1, 35]
Generated Node #2: [3, 1, 35] from Operation: 13+22=35
Current State: 31:[3, 1, 35], Operations: ['13+22=35']
Exploring Operation: 3+1=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 3+1=4
Current State: 31:[35, 4], Operations: ['13+22=35', '3+1=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
21,
72,
66,
8
] | 28 | [
"21*8=168",
"72-66=6",
"168/6=28"
] | Current State: 28:[21, 72, 66, 8], Operations: []
Exploring Operation: 21*8=168, Resulting Numbers: [72, 66, 168]
Generated Node #2: [72, 66, 168] from Operation: 21*8=168
Current State: 28:[72, 66, 168], Operations: ['21*8=168']
Exploring Operation: 72-66=6, Resulting Numbers: [168, 6]
Generated Node #3: [168, 6] from Operation: 72-66=6
Current State: 28:[168, 6], Operations: ['21*8=168', '72-66=6']
Exploring Operation: 168/6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
94,
42,
21,
3
] | 73 | [
"94+42=136",
"21*3=63",
"136-63=73"
] | Current State: 73:[94, 42, 21, 3], Operations: []
Exploring Operation: 94+42=136, Resulting Numbers: [21, 3, 136]
Generated Node #2: [21, 3, 136] from Operation: 94+42=136
Current State: 73:[21, 3, 136], Operations: ['94+42=136']
Exploring Operation: 21*3=63, Resulting Numbers: [136, 63]
Generated Node #3: [136, 63] from Operation: 21*3=63
Current State: 73:[136, 63], Operations: ['94+42=136', '21*3=63']
Exploring Operation: 136-63=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
18,
60,
56,
4
] | 92 | [
"18+60=78",
"56/4=14",
"78+14=92"
] | Current State: 92:[18, 60, 56, 4], Operations: []
Exploring Operation: 18+60=78, Resulting Numbers: [56, 4, 78]
Generated Node #2: [56, 4, 78] from Operation: 18+60=78
Current State: 92:[56, 4, 78], Operations: ['18+60=78']
Exploring Operation: 56/4=14, Resulting Numbers: [78, 14]
Generated Node #3: [78, 14] from Operation: 56/4=14
Current State: 92:[78, 14], Operations: ['18+60=78', '56/4=14']
Exploring Operation: 78+14=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
9,
29,
87,
28
] | 55 | [
"9*87=783",
"783/29=27",
"28+27=55"
] | Current State: 55:[9, 29, 87, 28], Operations: []
Exploring Operation: 9*87=783, Resulting Numbers: [29, 28, 783]
Generated Node #2: [29, 28, 783] from Operation: 9*87=783
Current State: 55:[29, 28, 783], Operations: ['9*87=783']
Exploring Operation: 783/29=27, Resulting Numbers: [28, 27]
Generated Node #3: [28, 27] from Operation: 783/29=27
Current State: 55:[28, 27], Operations: ['9*87=783', '783/29=27']
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
17,
22,
6,
56
] | 58 | [
"17-6=11",
"22/11=2",
"56+2=58"
] | Current State: 58:[17, 22, 6, 56], Operations: []
Exploring Operation: 17-6=11, Resulting Numbers: [22, 56, 11]
Generated Node #2: [22, 56, 11] from Operation: 17-6=11
Current State: 58:[22, 56, 11], Operations: ['17-6=11']
Exploring Operation: 22/11=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 22/11=2
Current State: 58:[56, 2], Operations: ['17-6=11', '22/11=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
7,
49,
38,
14
] | 83 | [
"38*14=532",
"49+532=581",
"581/7=83"
] | Current State: 83:[7, 49, 38, 14], Operations: []
Exploring Operation: 38*14=532, Resulting Numbers: [7, 49, 532]
Generated Node #2: [7, 49, 532] from Operation: 38*14=532
Current State: 83:[7, 49, 532], Operations: ['38*14=532']
Exploring Operation: 49+532=581, Resulting Numbers: [7, 581]
Generated Node #3: [7, 581] from Operation: 49+532=581
Current State: 83:[7, 581], Operations: ['38*14=532', '49+532=581']
Exploring Operation: 581/7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
14,
2,
23,
30
] | 96 | [
"30-23=7",
"14*7=98",
"98-2=96"
] | Current State: 96:[14, 2, 23, 30], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [14, 2, 7]
Generated Node #2: [14, 2, 7] from Operation: 30-23=7
Current State: 96:[14, 2, 7], Operations: ['30-23=7']
Exploring Operation: 14*7=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 14*7=98
Current State: 96:[2, 98], Operations: ['30-23=7', '14*7=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
73,
58,
29,
9
] | 53 | [
"73-58=15",
"29+9=38",
"15+38=53"
] | Current State: 53:[73, 58, 29, 9], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [29, 9, 15]
Generated Node #2: [29, 9, 15] from Operation: 73-58=15
Current State: 53:[29, 9, 15], Operations: ['73-58=15']
Exploring Operation: 29+9=38, Resulting Numbers: [15, 38]
Generated Node #3: [15, 38] from Operation: 29+9=38
Current State: 53:[15, 38], Operations: ['73-58=15', '29+9=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
66,
65,
4,
10
] | 79 | [
"66-10=56",
"56/4=14",
"65+14=79"
] | Current State: 79:[66, 65, 4, 10], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [65, 4, 56]
Generated Node #2: [65, 4, 56] from Operation: 66-10=56
Current State: 79:[65, 4, 56], Operations: ['66-10=56']
Exploring Operation: 56/4=14, Resulting Numbers: [65, 14]
Generated Node #3: [65, 14] from Operation: 56/4=14
Current State: 79:[65, 14], Operations: ['66-10=56', '56/4=14']
Exploring Operation: 65+14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
70,
11,
53,
70
] | 65 | [
"70/70=1",
"11+53=64",
"1+64=65"
] | Current State: 65:[70, 11, 53, 70], Operations: []
Exploring Operation: 70/70=1, Resulting Numbers: [11, 53, 1]
Generated Node #2: [11, 53, 1] from Operation: 70/70=1
Current State: 65:[11, 53, 1], Operations: ['70/70=1']
Exploring Operation: 11+53=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 11+53=64
Current State: 65:[1, 64], Operations: ['70/70=1', '11+53=64']
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
4,
95,
3,
69
] | 33 | [
"4+95=99",
"69-3=66",
"99-66=33"
] | Current State: 33:[4, 95, 3, 69], Operations: []
Exploring Operation: 4+95=99, Resulting Numbers: [3, 69, 99]
Generated Node #2: [3, 69, 99] from Operation: 4+95=99
Current State: 33:[3, 69, 99], Operations: ['4+95=99']
Exploring Operation: 69-3=66, Resulting Numbers: [99, 66]
Generated Node #3: [99, 66] from Operation: 69-3=66
Current State: 33:[99, 66], Operations: ['4+95=99', '69-3=66']
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
57,
9,
8,
67
] | 11 | [
"57-9=48",
"67-8=59",
"59-48=11"
] | Current State: 11:[57, 9, 8, 67], Operations: []
Exploring Operation: 57-9=48, Resulting Numbers: [8, 67, 48]
Generated Node #2: [8, 67, 48] from Operation: 57-9=48
Current State: 11:[8, 67, 48], Operations: ['57-9=48']
Exploring Operation: 67-8=59, Resulting Numbers: [48, 59]
Generated Node #3: [48, 59] from Operation: 67-8=59
Current State: 11:[48, 59], Operations: ['57-9=48', '67-8=59']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
48,
62,
23,
56
] | 27 | [
"62-48=14",
"56/14=4",
"23+4=27"
] | Current State: 27:[48, 62, 23, 56], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [23, 56, 14]
Generated Node #2: [23, 56, 14] from Operation: 62-48=14
Current State: 27:[23, 56, 14], Operations: ['62-48=14']
Exploring Operation: 56/14=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 56/14=4
Current State: 27:[23, 4], Operations: ['62-48=14', '56/14=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
33,
57,
89,
19
] | 10 | [
"33*57=1881",
"1881/19=99",
"99-89=10"
] | Current State: 10:[33, 57, 89, 19], Operations: []
Exploring Operation: 33*57=1881, Resulting Numbers: [89, 19, 1881]
Generated Node #2: [89, 19, 1881] from Operation: 33*57=1881
Current State: 10:[89, 19, 1881], Operations: ['33*57=1881']
Exploring Operation: 1881/19=99, Resulting Numbers: [89, 99]
Generated Node #3: [89, 99] from Operation: 1881/19=99
Current State: 10:[89, 99], Operations: ['33*57=1881', '1881/19=99']
Exploring Operation: 99-89=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
60,
20,
56,
51
] | 35 | [
"60-20=40",
"56-51=5",
"40-5=35"
] | Current State: 35:[60, 20, 56, 51], Operations: []
Exploring Operation: 60-20=40, Resulting Numbers: [56, 51, 40]
Generated Node #2: [56, 51, 40] from Operation: 60-20=40
Current State: 35:[56, 51, 40], Operations: ['60-20=40']
Exploring Operation: 56-51=5, Resulting Numbers: [40, 5]
Generated Node #3: [40, 5] from Operation: 56-51=5
Current State: 35:[40, 5], Operations: ['60-20=40', '56-51=5']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
34,
32,
68,
15
] | 55 | [
"34-32=2",
"68-15=53",
"2+53=55"
] | Current State: 55:[34, 32, 68, 15], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [68, 15, 2]
Generated Node #2: [68, 15, 2] from Operation: 34-32=2
Current State: 55:[68, 15, 2], Operations: ['34-32=2']
Exploring Operation: 68-15=53, Resulting Numbers: [2, 53]
Generated Node #3: [2, 53] from Operation: 68-15=53
Current State: 55:[2, 53], Operations: ['34-32=2', '68-15=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
13,
65,
75,
39
] | 58 | [
"75*39=2925",
"2925/65=45",
"13+45=58"
] | Current State: 58:[13, 65, 75, 39], Operations: []
Exploring Operation: 75*39=2925, Resulting Numbers: [13, 65, 2925]
Generated Node #2: [13, 65, 2925] from Operation: 75*39=2925
Current State: 58:[13, 65, 2925], Operations: ['75*39=2925']
Exploring Operation: 2925/65=45, Resulting Numbers: [13, 45]
Generated Node #3: [13, 45] from Operation: 2925/65=45
Current State: 58:[13, 45], Operations: ['75*39=2925', '2925/65=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
60,
65,
16,
34
] | 55 | [
"65-60=5",
"16+34=50",
"5+50=55"
] | Current State: 55:[60, 65, 16, 34], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [16, 34, 5]
Generated Node #2: [16, 34, 5] from Operation: 65-60=5
Current State: 55:[16, 34, 5], Operations: ['65-60=5']
Exploring Operation: 16+34=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 16+34=50
Current State: 55:[5, 50], Operations: ['65-60=5', '16+34=50']
Exploring Operation: 5+50=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
44,
39,
79
] | 69 | [
"5+44=49",
"39+79=118",
"118-49=69"
] | Current State: 69:[5, 44, 39, 79], Operations: []
Exploring Operation: 5+44=49, Resulting Numbers: [39, 79, 49]
Generated Node #2: [39, 79, 49] from Operation: 5+44=49
Current State: 69:[39, 79, 49], Operations: ['5+44=49']
Exploring Operation: 39+79=118, Resulting Numbers: [49, 118]
Generated Node #3: [49, 118] from Operation: 39+79=118
Current State: 69:[49, 118], Operations: ['5+44=49', '39+79=118']
Exploring Operation: 118-49=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
4,
46,
32
] | 19 | [
"6+46=52",
"52/4=13",
"32-13=19"
] | Current State: 19:[6, 4, 46, 32], Operations: []
Exploring Operation: 6+46=52, Resulting Numbers: [4, 32, 52]
Generated Node #2: [4, 32, 52] from Operation: 6+46=52
Current State: 19:[4, 32, 52], Operations: ['6+46=52']
Exploring Operation: 52/4=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 52/4=13
Current State: 19:[32, 13], Operations: ['6+46=52', '52/4=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
88,
15,
65,
68
] | 93 | [
"68-65=3",
"15/3=5",
"88+5=93"
] | Current State: 93:[88, 15, 65, 68], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [88, 15, 3]
Generated Node #2: [88, 15, 3] from Operation: 68-65=3
Current State: 93:[88, 15, 3], Operations: ['68-65=3']
Exploring Operation: 15/3=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 15/3=5
Current State: 93:[88, 5], Operations: ['68-65=3', '15/3=5']
Exploring Operation: 88+5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
49,
47,
69,
50
] | 22 | [
"50-49=1",
"69-47=22",
"1*22=22"
] | Current State: 22:[49, 47, 69, 50], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [47, 69, 1]
Generated Node #2: [47, 69, 1] from Operation: 50-49=1
Current State: 22:[47, 69, 1], Operations: ['50-49=1']
Exploring Operation: 69-47=22, Resulting Numbers: [1, 22]
Generated Node #3: [1, 22] from Operation: 69-47=22
Current State: 22:[1, 22], Operations: ['50-49=1', '69-47=22']
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
18,
64,
37,
99
] | 66 | [
"18*99=1782",
"64-37=27",
"1782/27=66"
] | Current State: 66:[18, 64, 37, 99], Operations: []
Exploring Operation: 18*99=1782, Resulting Numbers: [64, 37, 1782]
Generated Node #2: [64, 37, 1782] from Operation: 18*99=1782
Current State: 66:[64, 37, 1782], Operations: ['18*99=1782']
Exploring Operation: 64-37=27, Resulting Numbers: [1782, 27]
Generated Node #3: [1782, 27] from Operation: 64-37=27
Current State: 66:[1782, 27], Operations: ['18*99=1782', '64-37=27']
Exploring Operation: 1782/27=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
32,
58,
42,
64
] | 39 | [
"64-58=6",
"42/6=7",
"32+7=39"
] | Current State: 39:[32, 58, 42, 64], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [32, 42, 6]
Generated Node #2: [32, 42, 6] from Operation: 64-58=6
Current State: 39:[32, 42, 6], Operations: ['64-58=6']
Exploring Operation: 42/6=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 42/6=7
Current State: 39:[32, 7], Operations: ['64-58=6', '42/6=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
59,
16,
92,
74
] | 93 | [
"59+16=75",
"92-74=18",
"75+18=93"
] | Current State: 93:[59, 16, 92, 74], Operations: []
Exploring Operation: 59+16=75, Resulting Numbers: [92, 74, 75]
Generated Node #2: [92, 74, 75] from Operation: 59+16=75
Current State: 93:[92, 74, 75], Operations: ['59+16=75']
Exploring Operation: 92-74=18, Resulting Numbers: [75, 18]
Generated Node #3: [75, 18] from Operation: 92-74=18
Current State: 93:[75, 18], Operations: ['59+16=75', '92-74=18']
Exploring Operation: 75+18=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
33,
98,
63,
72
] | 74 | [
"98-33=65",
"72-63=9",
"65+9=74"
] | Current State: 74:[33, 98, 63, 72], Operations: []
Exploring Operation: 98-33=65, Resulting Numbers: [63, 72, 65]
Generated Node #2: [63, 72, 65] from Operation: 98-33=65
Current State: 74:[63, 72, 65], Operations: ['98-33=65']
Exploring Operation: 72-63=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 72-63=9
Current State: 74:[65, 9], Operations: ['98-33=65', '72-63=9']
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
13,
26,
8,
11
] | 38 | [
"26/13=2",
"8+11=19",
"2*19=38"
] | Current State: 38:[13, 26, 8, 11], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [8, 11, 2]
Generated Node #2: [8, 11, 2] from Operation: 26/13=2
Current State: 38:[8, 11, 2], Operations: ['26/13=2']
Exploring Operation: 8+11=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 8+11=19
Current State: 38:[2, 19], Operations: ['26/13=2', '8+11=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
7,
67,
28,
16
] | 72 | [
"67-7=60",
"28-16=12",
"60+12=72"
] | Current State: 72:[7, 67, 28, 16], Operations: []
Exploring Operation: 67-7=60, Resulting Numbers: [28, 16, 60]
Generated Node #2: [28, 16, 60] from Operation: 67-7=60
Current State: 72:[28, 16, 60], Operations: ['67-7=60']
Exploring Operation: 28-16=12, Resulting Numbers: [60, 12]
Generated Node #3: [60, 12] from Operation: 28-16=12
Current State: 72:[60, 12], Operations: ['67-7=60', '28-16=12']
Exploring Operation: 60+12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
69,
66,
52,
16
] | 71 | [
"69-66=3",
"52+16=68",
"3+68=71"
] | Current State: 71:[69, 66, 52, 16], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [52, 16, 3]
Generated Node #2: [52, 16, 3] from Operation: 69-66=3
Current State: 71:[52, 16, 3], Operations: ['69-66=3']
Exploring Operation: 52+16=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 52+16=68
Current State: 71:[3, 68], Operations: ['69-66=3', '52+16=68']
Exploring Operation: 3+68=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
70,
35,
2,
25
] | 30 | [
"70-35=35",
"25+35=60",
"60/2=30"
] | Current State: 30:[70, 35, 2, 25], Operations: []
Exploring Operation: 70-35=35, Resulting Numbers: [2, 25, 35]
Generated Node #2: [2, 25, 35] from Operation: 70-35=35
Current State: 30:[2, 25, 35], Operations: ['70-35=35']
Exploring Operation: 25+35=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 25+35=60
Current State: 30:[2, 60], Operations: ['70-35=35', '25+35=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
37,
2,
36,
30
] | 25 | [
"37-30=7",
"36/2=18",
"7+18=25"
] | Current State: 25:[37, 2, 36, 30], Operations: []
Exploring Operation: 37-30=7, Resulting Numbers: [2, 36, 7]
Generated Node #2: [2, 36, 7] from Operation: 37-30=7
Current State: 25:[2, 36, 7], Operations: ['37-30=7']
Exploring Operation: 36/2=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 36/2=18
Current State: 25:[7, 18], Operations: ['37-30=7', '36/2=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
20,
20,
49,
15
] | 53 | [
"20-15=5",
"20/5=4",
"49+4=53"
] | Current State: 53:[20, 20, 49, 15], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [49, 5]
Generated Node #2: [49, 5] from Operation: 20-15=5
Current State: 53:[49, 5], Operations: ['20-15=5']
Exploring Operation: 20/5=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 20/5=4
Current State: 53:[49, 4], Operations: ['20-15=5', '20/5=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
76,
81,
25,
83
] | 53 | [
"81-76=5",
"83-25=58",
"58-5=53"
] | Current State: 53:[76, 81, 25, 83], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [25, 83, 5]
Generated Node #2: [25, 83, 5] from Operation: 81-76=5
Current State: 53:[25, 83, 5], Operations: ['81-76=5']
Exploring Operation: 83-25=58, Resulting Numbers: [5, 58]
Generated Node #3: [5, 58] from Operation: 83-25=58
Current State: 53:[5, 58], Operations: ['81-76=5', '83-25=58']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
9,
37,
13,
3
] | 27 | [
"9/3=3",
"37-13=24",
"3+24=27"
] | Current State: 27:[9, 37, 13, 3], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [37, 13, 3]
Generated Node #2: [37, 13, 3] from Operation: 9/3=3
Current State: 27:[37, 13, 3], Operations: ['9/3=3']
Exploring Operation: 37-13=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 37-13=24
Current State: 27:[3, 24], Operations: ['9/3=3', '37-13=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
49,
3,
15,
92
] | 84 | [
"49+15=64",
"92-64=28",
"3*28=84"
] | Current State: 84:[49, 3, 15, 92], Operations: []
Exploring Operation: 49+15=64, Resulting Numbers: [3, 92, 64]
Generated Node #2: [3, 92, 64] from Operation: 49+15=64
Current State: 84:[3, 92, 64], Operations: ['49+15=64']
Exploring Operation: 92-64=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 92-64=28
Current State: 84:[3, 28], Operations: ['49+15=64', '92-64=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
97,
78,
93,
58
] | 24 | [
"97+78=175",
"93+58=151",
"175-151=24"
] | Current State: 24:[97, 78, 93, 58], Operations: []
Exploring Operation: 97+78=175, Resulting Numbers: [93, 58, 175]
Generated Node #2: [93, 58, 175] from Operation: 97+78=175
Current State: 24:[93, 58, 175], Operations: ['97+78=175']
Exploring Operation: 93+58=151, Resulting Numbers: [175, 151]
Generated Node #3: [175, 151] from Operation: 93+58=151
Current State: 24:[175, 151], Operations: ['97+78=175', '93+58=151']
Exploring Operation: 175-151=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
42,
51,
52,
36
] | 77 | [
"42+51=93",
"52-36=16",
"93-16=77"
] | Current State: 77:[42, 51, 52, 36], Operations: []
Exploring Operation: 42+51=93, Resulting Numbers: [52, 36, 93]
Generated Node #2: [52, 36, 93] from Operation: 42+51=93
Current State: 77:[52, 36, 93], Operations: ['42+51=93']
Exploring Operation: 52-36=16, Resulting Numbers: [93, 16]
Generated Node #3: [93, 16] from Operation: 52-36=16
Current State: 77:[93, 16], Operations: ['42+51=93', '52-36=16']
Exploring Operation: 93-16=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
40,
57,
9,
55
] | 29 | [
"57-40=17",
"55-9=46",
"46-17=29"
] | Current State: 29:[40, 57, 9, 55], Operations: []
Exploring Operation: 57-40=17, Resulting Numbers: [9, 55, 17]
Generated Node #2: [9, 55, 17] from Operation: 57-40=17
Current State: 29:[9, 55, 17], Operations: ['57-40=17']
Exploring Operation: 55-9=46, Resulting Numbers: [17, 46]
Generated Node #3: [17, 46] from Operation: 55-9=46
Current State: 29:[17, 46], Operations: ['57-40=17', '55-9=46']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
64,
13,
66,
85
] | 100 | [
"64-13=51",
"66+85=151",
"151-51=100"
] | Current State: 100:[64, 13, 66, 85], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [66, 85, 51]
Generated Node #2: [66, 85, 51] from Operation: 64-13=51
Current State: 100:[66, 85, 51], Operations: ['64-13=51']
Exploring Operation: 66+85=151, Resulting Numbers: [51, 151]
Generated Node #3: [51, 151] from Operation: 66+85=151
Current State: 100:[51, 151], Operations: ['64-13=51', '66+85=151']
Exploring Operation: 151-51=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
20,
50,
13,
9
] | 26 | [
"50-20=30",
"13-9=4",
"30-4=26"
] | Current State: 26:[20, 50, 13, 9], Operations: []
Exploring Operation: 50-20=30, Resulting Numbers: [13, 9, 30]
Generated Node #2: [13, 9, 30] from Operation: 50-20=30
Current State: 26:[13, 9, 30], Operations: ['50-20=30']
Exploring Operation: 13-9=4, Resulting Numbers: [30, 4]
Generated Node #3: [30, 4] from Operation: 13-9=4
Current State: 26:[30, 4], Operations: ['50-20=30', '13-9=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
86,
42,
12,
78
] | 46 | [
"86-42=44",
"12+78=90",
"90-44=46"
] | Current State: 46:[86, 42, 12, 78], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [12, 78, 44]
Generated Node #2: [12, 78, 44] from Operation: 86-42=44
Current State: 46:[12, 78, 44], Operations: ['86-42=44']
Exploring Operation: 12+78=90, Resulting Numbers: [44, 90]
Generated Node #3: [44, 90] from Operation: 12+78=90
Current State: 46:[44, 90], Operations: ['86-42=44', '12+78=90']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
88,
23,
15,
85
] | 18 | [
"88-85=3",
"15/3=5",
"23-5=18"
] | Current State: 18:[88, 23, 15, 85], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [23, 15, 3]
Generated Node #2: [23, 15, 3] from Operation: 88-85=3
Current State: 18:[23, 15, 3], Operations: ['88-85=3']
Exploring Operation: 15/3=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 15/3=5
Current State: 18:[23, 5], Operations: ['88-85=3', '15/3=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
2,
90,
25,
75
] | 55 | [
"90/2=45",
"25+75=100",
"100-45=55"
] | Current State: 55:[2, 90, 25, 75], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [25, 75, 45]
Generated Node #2: [25, 75, 45] from Operation: 90/2=45
Current State: 55:[25, 75, 45], Operations: ['90/2=45']
Exploring Operation: 25+75=100, Resulting Numbers: [45, 100]
Generated Node #3: [45, 100] from Operation: 25+75=100
Current State: 55:[45, 100], Operations: ['90/2=45', '25+75=100']
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
71,
91,
37,
6
] | 73 | [
"71+37=108",
"108/6=18",
"91-18=73"
] | Current State: 73:[71, 91, 37, 6], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [91, 6, 108]
Generated Node #2: [91, 6, 108] from Operation: 71+37=108
Current State: 73:[91, 6, 108], Operations: ['71+37=108']
Exploring Operation: 108/6=18, Resulting Numbers: [91, 18]
Generated Node #3: [91, 18] from Operation: 108/6=18
Current State: 73:[91, 18], Operations: ['71+37=108', '108/6=18']
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
52,
6,
76,
53
] | 35 | [
"52+6=58",
"76-53=23",
"58-23=35"
] | Current State: 35:[52, 6, 76, 53], Operations: []
Exploring Operation: 52+6=58, Resulting Numbers: [76, 53, 58]
Generated Node #2: [76, 53, 58] from Operation: 52+6=58
Current State: 35:[76, 53, 58], Operations: ['52+6=58']
Exploring Operation: 76-53=23, Resulting Numbers: [58, 23]
Generated Node #3: [58, 23] from Operation: 76-53=23
Current State: 35:[58, 23], Operations: ['52+6=58', '76-53=23']
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
42,
47,
21,
84
] | 93 | [
"42+47=89",
"84/21=4",
"89+4=93"
] | Current State: 93:[42, 47, 21, 84], Operations: []
Exploring Operation: 42+47=89, Resulting Numbers: [21, 84, 89]
Generated Node #2: [21, 84, 89] from Operation: 42+47=89
Current State: 93:[21, 84, 89], Operations: ['42+47=89']
Exploring Operation: 84/21=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 84/21=4
Current State: 93:[89, 4], Operations: ['42+47=89', '84/21=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
82,
20,
29,
79
] | 46 | [
"82-20=62",
"29+79=108",
"108-62=46"
] | Current State: 46:[82, 20, 29, 79], Operations: []
Exploring Operation: 82-20=62, Resulting Numbers: [29, 79, 62]
Generated Node #2: [29, 79, 62] from Operation: 82-20=62
Current State: 46:[29, 79, 62], Operations: ['82-20=62']
Exploring Operation: 29+79=108, Resulting Numbers: [62, 108]
Generated Node #3: [62, 108] from Operation: 29+79=108
Current State: 46:[62, 108], Operations: ['82-20=62', '29+79=108']
Exploring Operation: 108-62=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
39,
45,
12,
3
] | 88 | [
"39+45=84",
"12/3=4",
"84+4=88"
] | Current State: 88:[39, 45, 12, 3], Operations: []
Exploring Operation: 39+45=84, Resulting Numbers: [12, 3, 84]
Generated Node #2: [12, 3, 84] from Operation: 39+45=84
Current State: 88:[12, 3, 84], Operations: ['39+45=84']
Exploring Operation: 12/3=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 12/3=4
Current State: 88:[84, 4], Operations: ['39+45=84', '12/3=4']
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
84,
26,
24,
50
] | 36 | [
"84+26=110",
"24+50=74",
"110-74=36"
] | Current State: 36:[84, 26, 24, 50], Operations: []
Exploring Operation: 84+26=110, Resulting Numbers: [24, 50, 110]
Generated Node #2: [24, 50, 110] from Operation: 84+26=110
Current State: 36:[24, 50, 110], Operations: ['84+26=110']
Exploring Operation: 24+50=74, Resulting Numbers: [110, 74]
Generated Node #3: [110, 74] from Operation: 24+50=74
Current State: 36:[110, 74], Operations: ['84+26=110', '24+50=74']
Exploring Operation: 110-74=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
50,
25,
96,
89
] | 41 | [
"50/25=2",
"96/2=48",
"89-48=41"
] | Current State: 41:[50, 25, 96, 89], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [96, 89, 2]
Generated Node #2: [96, 89, 2] from Operation: 50/25=2
Current State: 41:[96, 89, 2], Operations: ['50/25=2']
Exploring Operation: 96/2=48, Resulting Numbers: [89, 48]
Generated Node #3: [89, 48] from Operation: 96/2=48
Current State: 41:[89, 48], Operations: ['50/25=2', '96/2=48']
Exploring Operation: 89-48=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
1,
28,
43,
4
] | 75 | [
"1*28=28",
"43+4=47",
"28+47=75"
] | Current State: 75:[1, 28, 43, 4], Operations: []
Exploring Operation: 1*28=28, Resulting Numbers: [43, 4, 28]
Generated Node #2: [43, 4, 28] from Operation: 1*28=28
Current State: 75:[43, 4, 28], Operations: ['1*28=28']
Exploring Operation: 43+4=47, Resulting Numbers: [28, 47]
Generated Node #3: [28, 47] from Operation: 43+4=47
Current State: 75:[28, 47], Operations: ['1*28=28', '43+4=47']
Exploring Operation: 28+47=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
9,
10,
70,
4
] | 75 | [
"10-9=1",
"70+4=74",
"1+74=75"
] | Current State: 75:[9, 10, 70, 4], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [70, 4, 1]
Generated Node #2: [70, 4, 1] from Operation: 10-9=1
Current State: 75:[70, 4, 1], Operations: ['10-9=1']
Exploring Operation: 70+4=74, Resulting Numbers: [1, 74]
Generated Node #3: [1, 74] from Operation: 70+4=74
Current State: 75:[1, 74], Operations: ['10-9=1', '70+4=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
51,
79,
52,
88
] | 64 | [
"79-51=28",
"88-52=36",
"28+36=64"
] | Current State: 64:[51, 79, 52, 88], Operations: []
Exploring Operation: 79-51=28, Resulting Numbers: [52, 88, 28]
Generated Node #2: [52, 88, 28] from Operation: 79-51=28
Current State: 64:[52, 88, 28], Operations: ['79-51=28']
Exploring Operation: 88-52=36, Resulting Numbers: [28, 36]
Generated Node #3: [28, 36] from Operation: 88-52=36
Current State: 64:[28, 36], Operations: ['79-51=28', '88-52=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
68,
21,
61,
5
] | 58 | [
"68-5=63",
"63/21=3",
"61-3=58"
] | Current State: 58:[68, 21, 61, 5], Operations: []
Exploring Operation: 68-5=63, Resulting Numbers: [21, 61, 63]
Generated Node #2: [21, 61, 63] from Operation: 68-5=63
Current State: 58:[21, 61, 63], Operations: ['68-5=63']
Exploring Operation: 63/21=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 63/21=3
Current State: 58:[61, 3], Operations: ['68-5=63', '63/21=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
29,
74,
18,
31
] | 83 | [
"31-29=2",
"18/2=9",
"74+9=83"
] | Current State: 83:[29, 74, 18, 31], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [74, 18, 2]
Generated Node #2: [74, 18, 2] from Operation: 31-29=2
Current State: 83:[74, 18, 2], Operations: ['31-29=2']
Exploring Operation: 18/2=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 18/2=9
Current State: 83:[74, 9], Operations: ['31-29=2', '18/2=9']
Exploring Operation: 74+9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
29,
26,
94,
53
] | 38 | [
"29-26=3",
"94-53=41",
"41-3=38"
] | Current State: 38:[29, 26, 94, 53], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [94, 53, 3]
Generated Node #2: [94, 53, 3] from Operation: 29-26=3
Current State: 38:[94, 53, 3], Operations: ['29-26=3']
Exploring Operation: 94-53=41, Resulting Numbers: [3, 41]
Generated Node #3: [3, 41] from Operation: 94-53=41
Current State: 38:[3, 41], Operations: ['29-26=3', '94-53=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
94,
15,
8,
68
] | 98 | [
"68-8=60",
"60/15=4",
"94+4=98"
] | Current State: 98:[94, 15, 8, 68], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [94, 15, 60]
Generated Node #2: [94, 15, 60] from Operation: 68-8=60
Current State: 98:[94, 15, 60], Operations: ['68-8=60']
Exploring Operation: 60/15=4, Resulting Numbers: [94, 4]
Generated Node #3: [94, 4] from Operation: 60/15=4
Current State: 98:[94, 4], Operations: ['68-8=60', '60/15=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
27,
72,
38,
32
] | 54 | [
"72-38=34",
"34-32=2",
"27*2=54"
] | Current State: 54:[27, 72, 38, 32], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [27, 32, 34]
Generated Node #2: [27, 32, 34] from Operation: 72-38=34
Current State: 54:[27, 32, 34], Operations: ['72-38=34']
Exploring Operation: 34-32=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 34-32=2
Current State: 54:[27, 2], Operations: ['72-38=34', '34-32=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
51,
18,
34,
17
] | 52 | [
"51+18=69",
"34-17=17",
"69-17=52"
] | Current State: 52:[51, 18, 34, 17], Operations: []
Exploring Operation: 51+18=69, Resulting Numbers: [34, 17, 69]
Generated Node #2: [34, 17, 69] from Operation: 51+18=69
Current State: 52:[34, 17, 69], Operations: ['51+18=69']
Exploring Operation: 34-17=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 34-17=17
Current State: 52:[69, 17], Operations: ['51+18=69', '34-17=17']
Exploring Operation: 69-17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
66,
53,
20,
77
] | 79 | [
"53-20=33",
"66/33=2",
"77+2=79"
] | Current State: 79:[66, 53, 20, 77], Operations: []
Exploring Operation: 53-20=33, Resulting Numbers: [66, 77, 33]
Generated Node #2: [66, 77, 33] from Operation: 53-20=33
Current State: 79:[66, 77, 33], Operations: ['53-20=33']
Exploring Operation: 66/33=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 66/33=2
Current State: 79:[77, 2], Operations: ['53-20=33', '66/33=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
59,
49,
58,
73
] | 93 | [
"59+49=108",
"73-58=15",
"108-15=93"
] | Current State: 93:[59, 49, 58, 73], Operations: []
Exploring Operation: 59+49=108, Resulting Numbers: [58, 73, 108]
Generated Node #2: [58, 73, 108] from Operation: 59+49=108
Current State: 93:[58, 73, 108], Operations: ['59+49=108']
Exploring Operation: 73-58=15, Resulting Numbers: [108, 15]
Generated Node #3: [108, 15] from Operation: 73-58=15
Current State: 93:[108, 15], Operations: ['59+49=108', '73-58=15']
Exploring Operation: 108-15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
6,
50,
37,
37
] | 57 | [
"6+50=56",
"37/37=1",
"56+1=57"
] | Current State: 57:[6, 50, 37, 37], Operations: []
Exploring Operation: 6+50=56, Resulting Numbers: [37, 37, 56]
Generated Node #2: [37, 37, 56] from Operation: 6+50=56
Current State: 57:[37, 37, 56], Operations: ['6+50=56']
Exploring Operation: 37/37=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 37/37=1
Current State: 57:[56, 1], Operations: ['6+50=56', '37/37=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
9,
3,
9,
37
] | 57 | [
"9+9=18",
"37-18=19",
"3*19=57"
] | Current State: 57:[9, 3, 9, 37], Operations: []
Exploring Operation: 9+9=18, Resulting Numbers: [3, 37, 18]
Generated Node #2: [3, 37, 18] from Operation: 9+9=18
Current State: 57:[3, 37, 18], Operations: ['9+9=18']
Exploring Operation: 37-18=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 37-18=19
Current State: 57:[3, 19], Operations: ['9+9=18', '37-18=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
19,
72,
70,
54
] | 75 | [
"19+72=91",
"70-54=16",
"91-16=75"
] | Current State: 75:[19, 72, 70, 54], Operations: []
Exploring Operation: 19+72=91, Resulting Numbers: [70, 54, 91]
Generated Node #2: [70, 54, 91] from Operation: 19+72=91
Current State: 75:[70, 54, 91], Operations: ['19+72=91']
Exploring Operation: 70-54=16, Resulting Numbers: [91, 16]
Generated Node #3: [91, 16] from Operation: 70-54=16
Current State: 75:[91, 16], Operations: ['19+72=91', '70-54=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
64,
10,
35,
25
] | 36 | [
"35-25=10",
"10*10=100",
"100-64=36"
] | Current State: 36:[64, 10, 35, 25], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [64, 10, 10]
Generated Node #2: [64, 10, 10] from Operation: 35-25=10
Current State: 36:[64, 10, 10], Operations: ['35-25=10']
Exploring Operation: 10*10=100, Resulting Numbers: [64, 100]
Generated Node #3: [64, 100] from Operation: 10*10=100
Current State: 36:[64, 100], Operations: ['35-25=10', '10*10=100']
Exploring Operation: 100-64=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
50,
54,
77,
96
] | 74 | [
"54+96=150",
"150/50=3",
"77-3=74"
] | Current State: 74:[50, 54, 77, 96], Operations: []
Exploring Operation: 54+96=150, Resulting Numbers: [50, 77, 150]
Generated Node #2: [50, 77, 150] from Operation: 54+96=150
Current State: 74:[50, 77, 150], Operations: ['54+96=150']
Exploring Operation: 150/50=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 150/50=3
Current State: 74:[77, 3], Operations: ['54+96=150', '150/50=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
64,
87,
31,
20
] | 93 | [
"87-64=23",
"23-20=3",
"31*3=93"
] | Current State: 93:[64, 87, 31, 20], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [31, 20, 23]
Generated Node #2: [31, 20, 23] from Operation: 87-64=23
Current State: 93:[31, 20, 23], Operations: ['87-64=23']
Exploring Operation: 23-20=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 23-20=3
Current State: 93:[31, 3], Operations: ['87-64=23', '23-20=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
57,
26,
70,
91
] | 89 | [
"70-57=13",
"26/13=2",
"91-2=89"
] | Current State: 89:[57, 26, 70, 91], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [26, 91, 13]
Generated Node #2: [26, 91, 13] from Operation: 70-57=13
Current State: 89:[26, 91, 13], Operations: ['70-57=13']
Exploring Operation: 26/13=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 26/13=2
Current State: 89:[91, 2], Operations: ['70-57=13', '26/13=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
75,
83,
64,
74
] | 80 | [
"83-75=8",
"74-64=10",
"8*10=80"
] | Current State: 80:[75, 83, 64, 74], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [64, 74, 8]
Generated Node #2: [64, 74, 8] from Operation: 83-75=8
Current State: 80:[64, 74, 8], Operations: ['83-75=8']
Exploring Operation: 74-64=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 74-64=10
Current State: 80:[8, 10], Operations: ['83-75=8', '74-64=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
12,
29,
16,
77
] | 76 | [
"29-12=17",
"16+77=93",
"93-17=76"
] | Current State: 76:[12, 29, 16, 77], Operations: []
Exploring Operation: 29-12=17, Resulting Numbers: [16, 77, 17]
Generated Node #2: [16, 77, 17] from Operation: 29-12=17
Current State: 76:[16, 77, 17], Operations: ['29-12=17']
Exploring Operation: 16+77=93, Resulting Numbers: [17, 93]
Generated Node #3: [17, 93] from Operation: 16+77=93
Current State: 76:[17, 93], Operations: ['29-12=17', '16+77=93']
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
83,
36,
78,
86
] | 62 | [
"86-83=3",
"78/3=26",
"36+26=62"
] | Current State: 62:[83, 36, 78, 86], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [36, 78, 3]
Generated Node #2: [36, 78, 3] from Operation: 86-83=3
Current State: 62:[36, 78, 3], Operations: ['86-83=3']
Exploring Operation: 78/3=26, Resulting Numbers: [36, 26]
Generated Node #3: [36, 26] from Operation: 78/3=26
Current State: 62:[36, 26], Operations: ['86-83=3', '78/3=26']
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
92,
32,
23,
27
] | 10 | [
"92-32=60",
"23+27=50",
"60-50=10"
] | Current State: 10:[92, 32, 23, 27], Operations: []
Exploring Operation: 92-32=60, Resulting Numbers: [23, 27, 60]
Generated Node #2: [23, 27, 60] from Operation: 92-32=60
Current State: 10:[23, 27, 60], Operations: ['92-32=60']
Exploring Operation: 23+27=50, Resulting Numbers: [60, 50]
Generated Node #3: [60, 50] from Operation: 23+27=50
Current State: 10:[60, 50], Operations: ['92-32=60', '23+27=50']
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
26,
5,
75,
73
] | 84 | [
"26+73=99",
"75/5=15",
"99-15=84"
] | Current State: 84:[26, 5, 75, 73], Operations: []
Exploring Operation: 26+73=99, Resulting Numbers: [5, 75, 99]
Generated Node #2: [5, 75, 99] from Operation: 26+73=99
Current State: 84:[5, 75, 99], Operations: ['26+73=99']
Exploring Operation: 75/5=15, Resulting Numbers: [99, 15]
Generated Node #3: [99, 15] from Operation: 75/5=15
Current State: 84:[99, 15], Operations: ['26+73=99', '75/5=15']
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
13,
7,
62,
60
] | 22 | [
"13+7=20",
"62-60=2",
"20+2=22"
] | Current State: 22:[13, 7, 62, 60], Operations: []
Exploring Operation: 13+7=20, Resulting Numbers: [62, 60, 20]
Generated Node #2: [62, 60, 20] from Operation: 13+7=20
Current State: 22:[62, 60, 20], Operations: ['13+7=20']
Exploring Operation: 62-60=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 62-60=2
Current State: 22:[20, 2], Operations: ['13+7=20', '62-60=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
48,
44,
6,
54
] | 61 | [
"48+54=102",
"102/6=17",
"44+17=61"
] | Current State: 61:[48, 44, 6, 54], Operations: []
Exploring Operation: 48+54=102, Resulting Numbers: [44, 6, 102]
Generated Node #2: [44, 6, 102] from Operation: 48+54=102
Current State: 61:[44, 6, 102], Operations: ['48+54=102']
Exploring Operation: 102/6=17, Resulting Numbers: [44, 17]
Generated Node #3: [44, 17] from Operation: 102/6=17
Current State: 61:[44, 17], Operations: ['48+54=102', '102/6=17']
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
36,
16,
73,
28
] | 81 | [
"36-16=20",
"73+28=101",
"101-20=81"
] | Current State: 81:[36, 16, 73, 28], Operations: []
Exploring Operation: 36-16=20, Resulting Numbers: [73, 28, 20]
Generated Node #2: [73, 28, 20] from Operation: 36-16=20
Current State: 81:[73, 28, 20], Operations: ['36-16=20']
Exploring Operation: 73+28=101, Resulting Numbers: [20, 101]
Generated Node #3: [20, 101] from Operation: 73+28=101
Current State: 81:[20, 101], Operations: ['36-16=20', '73+28=101']
Exploring Operation: 101-20=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
62,
13,
66
] | 67 | [
"66-62=4",
"20*4=80",
"80-13=67"
] | Current State: 67:[20, 62, 13, 66], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [20, 13, 4]
Generated Node #2: [20, 13, 4] from Operation: 66-62=4
Current State: 67:[20, 13, 4], Operations: ['66-62=4']
Exploring Operation: 20*4=80, Resulting Numbers: [13, 80]
Generated Node #3: [13, 80] from Operation: 20*4=80
Current State: 67:[13, 80], Operations: ['66-62=4', '20*4=80']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
79,
12,
4,
35
] | 23 | [
"79-35=44",
"44/4=11",
"12+11=23"
] | Current State: 23:[79, 12, 4, 35], Operations: []
Exploring Operation: 79-35=44, Resulting Numbers: [12, 4, 44]
Generated Node #2: [12, 4, 44] from Operation: 79-35=44
Current State: 23:[12, 4, 44], Operations: ['79-35=44']
Exploring Operation: 44/4=11, Resulting Numbers: [12, 11]
Generated Node #3: [12, 11] from Operation: 44/4=11
Current State: 23:[12, 11], Operations: ['79-35=44', '44/4=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
70,
47,
51,
64
] | 10 | [
"70-47=23",
"64-51=13",
"23-13=10"
] | Current State: 10:[70, 47, 51, 64], Operations: []
Exploring Operation: 70-47=23, Resulting Numbers: [51, 64, 23]
Generated Node #2: [51, 64, 23] from Operation: 70-47=23
Current State: 10:[51, 64, 23], Operations: ['70-47=23']
Exploring Operation: 64-51=13, Resulting Numbers: [23, 13]
Generated Node #3: [23, 13] from Operation: 64-51=13
Current State: 10:[23, 13], Operations: ['70-47=23', '64-51=13']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
80,
15,
87,
79
] | 87 | [
"80+15=95",
"87-79=8",
"95-8=87"
] | Current State: 87:[80, 15, 87, 79], Operations: []
Exploring Operation: 80+15=95, Resulting Numbers: [87, 79, 95]
Generated Node #2: [87, 79, 95] from Operation: 80+15=95
Current State: 87:[87, 79, 95], Operations: ['80+15=95']
Exploring Operation: 87-79=8, Resulting Numbers: [95, 8]
Generated Node #3: [95, 8] from Operation: 87-79=8
Current State: 87:[95, 8], Operations: ['80+15=95', '87-79=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
95,
55,
47,
7
] | 49 | [
"95-55=40",
"47-40=7",
"7*7=49"
] | Current State: 49:[95, 55, 47, 7], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [47, 7, 40]
Generated Node #2: [47, 7, 40] from Operation: 95-55=40
Current State: 49:[47, 7, 40], Operations: ['95-55=40']
Exploring Operation: 47-40=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 47-40=7
Current State: 49:[7, 7], Operations: ['95-55=40', '47-40=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
34,
17,
59,
49
] | 69 | [
"34/17=2",
"59*2=118",
"118-49=69"
] | Current State: 69:[34, 17, 59, 49], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [59, 49, 2]
Generated Node #2: [59, 49, 2] from Operation: 34/17=2
Current State: 69:[59, 49, 2], Operations: ['34/17=2']
Exploring Operation: 59*2=118, Resulting Numbers: [49, 118]
Generated Node #3: [49, 118] from Operation: 59*2=118
Current State: 69:[49, 118], Operations: ['34/17=2', '59*2=118']
Exploring Operation: 118-49=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
71,
72,
20,
64
] | 83 | [
"72-71=1",
"20+64=84",
"84-1=83"
] | Current State: 83:[71, 72, 20, 64], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [20, 64, 1]
Generated Node #2: [20, 64, 1] from Operation: 72-71=1
Current State: 83:[20, 64, 1], Operations: ['72-71=1']
Exploring Operation: 20+64=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 20+64=84
Current State: 83:[1, 84], Operations: ['72-71=1', '20+64=84']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
10,
30,
51,
55
] | 70 | [
"55-51=4",
"10*4=40",
"30+40=70"
] | Current State: 70:[10, 30, 51, 55], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [10, 30, 4]
Generated Node #2: [10, 30, 4] from Operation: 55-51=4
Current State: 70:[10, 30, 4], Operations: ['55-51=4']
Exploring Operation: 10*4=40, Resulting Numbers: [30, 40]
Generated Node #3: [30, 40] from Operation: 10*4=40
Current State: 70:[30, 40], Operations: ['55-51=4', '10*4=40']
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
82,
47,
96,
45
] | 34 | [
"47-45=2",
"96/2=48",
"82-48=34"
] | Current State: 34:[82, 47, 96, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [82, 96, 2]
Generated Node #2: [82, 96, 2] from Operation: 47-45=2
Current State: 34:[82, 96, 2], Operations: ['47-45=2']
Exploring Operation: 96/2=48, Resulting Numbers: [82, 48]
Generated Node #3: [82, 48] from Operation: 96/2=48
Current State: 34:[82, 48], Operations: ['47-45=2', '96/2=48']
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
12,
88,
10,
2
] | 72 | [
"12/2=6",
"88-10=78",
"78-6=72"
] | Current State: 72:[12, 88, 10, 2], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [88, 10, 6]
Generated Node #2: [88, 10, 6] from Operation: 12/2=6
Current State: 72:[88, 10, 6], Operations: ['12/2=6']
Exploring Operation: 88-10=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 88-10=78
Current State: 72:[6, 78], Operations: ['12/2=6', '88-10=78']
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
70,
22,
64,
63
] | 93 | [
"70+22=92",
"64-63=1",
"92+1=93"
] | Current State: 93:[70, 22, 64, 63], Operations: []
Exploring Operation: 70+22=92, Resulting Numbers: [64, 63, 92]
Generated Node #2: [64, 63, 92] from Operation: 70+22=92
Current State: 93:[64, 63, 92], Operations: ['70+22=92']
Exploring Operation: 64-63=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 64-63=1
Current State: 93:[92, 1], Operations: ['70+22=92', '64-63=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
49,
28,
54,
45
] | 61 | [
"49-45=4",
"28/4=7",
"54+7=61"
] | Current State: 61:[49, 28, 54, 45], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [28, 54, 4]
Generated Node #2: [28, 54, 4] from Operation: 49-45=4
Current State: 61:[28, 54, 4], Operations: ['49-45=4']
Exploring Operation: 28/4=7, Resulting Numbers: [54, 7]
Generated Node #3: [54, 7] from Operation: 28/4=7
Current State: 61:[54, 7], Operations: ['49-45=4', '28/4=7']
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
12,
52,
94,
14
] | 73 | [
"14-12=2",
"52+94=146",
"146/2=73"
] | Current State: 73:[12, 52, 94, 14], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [52, 94, 2]
Generated Node #2: [52, 94, 2] from Operation: 14-12=2
Current State: 73:[52, 94, 2], Operations: ['14-12=2']
Exploring Operation: 52+94=146, Resulting Numbers: [2, 146]
Generated Node #3: [2, 146] from Operation: 52+94=146
Current State: 73:[2, 146], Operations: ['14-12=2', '52+94=146']
Exploring Operation: 146/2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
25,
6,
67,
15
] | 48 | [
"67-25=42",
"6*15=90",
"90-42=48"
] | Current State: 48:[25, 6, 67, 15], Operations: []
Exploring Operation: 67-25=42, Resulting Numbers: [6, 15, 42]
Generated Node #2: [6, 15, 42] from Operation: 67-25=42
Current State: 48:[6, 15, 42], Operations: ['67-25=42']
Exploring Operation: 6*15=90, Resulting Numbers: [42, 90]
Generated Node #3: [42, 90] from Operation: 6*15=90
Current State: 48:[42, 90], Operations: ['67-25=42', '6*15=90']
Exploring Operation: 90-42=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
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