nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
---|---|---|---|---|
[
81,
89,
6,
83
] | 81 |
[
"81+89=170",
"6+83=89",
"170-89=81"
] |
Current State: 81:[81, 89, 6, 83], Operations: []
Exploring Operation: 81+89=170, Resulting Numbers: [6, 83, 170]
Generated Node #2: [6, 83, 170] from Operation: 81+89=170
Current State: 81:[6, 83, 170], Operations: ['81+89=170']
Exploring Operation: 6+83=89, Resulting Numbers: [170, 89]
Generated Node #3: [170, 89] from Operation: 6+83=89
Current State: 81:[170, 89], Operations: ['81+89=170', '6+83=89']
Exploring Operation: 170-89=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
25,
8,
21
] | 18 |
[
"64+8=72",
"25-21=4",
"72/4=18"
] |
Current State: 18:[64, 25, 8, 21], Operations: []
Exploring Operation: 64+8=72, Resulting Numbers: [25, 21, 72]
Generated Node #2: [25, 21, 72] from Operation: 64+8=72
Current State: 18:[25, 21, 72], Operations: ['64+8=72']
Exploring Operation: 25-21=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 25-21=4
Current State: 18:[72, 4], Operations: ['64+8=72', '25-21=4']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
76,
82,
14,
38
] | 75 |
[
"76/38=2",
"14/2=7",
"82-7=75"
] |
Current State: 75:[76, 82, 14, 38], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [82, 14, 2]
Generated Node #2: [82, 14, 2] from Operation: 76/38=2
Current State: 75:[82, 14, 2], Operations: ['76/38=2']
Exploring Operation: 14/2=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 14/2=7
Current State: 75:[82, 7], Operations: ['76/38=2', '14/2=7']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
25,
45,
32,
70
] | 55 |
[
"32-25=7",
"70/7=10",
"45+10=55"
] |
Current State: 55:[25, 45, 32, 70], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [45, 70, 7]
Generated Node #2: [45, 70, 7] from Operation: 32-25=7
Current State: 55:[45, 70, 7], Operations: ['32-25=7']
Exploring Operation: 70/7=10, Resulting Numbers: [45, 10]
Generated Node #3: [45, 10] from Operation: 70/7=10
Current State: 55:[45, 10], Operations: ['32-25=7', '70/7=10']
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
3,
4,
79,
1
] | 18 |
[
"79-3=76",
"76/4=19",
"19-1=18"
] |
Current State: 18:[3, 4, 79, 1], Operations: []
Exploring Operation: 79-3=76, Resulting Numbers: [4, 1, 76]
Generated Node #2: [4, 1, 76] from Operation: 79-3=76
Current State: 18:[4, 1, 76], Operations: ['79-3=76']
Exploring Operation: 76/4=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 76/4=19
Current State: 18:[1, 19], Operations: ['79-3=76', '76/4=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
65,
75,
16,
88
] | 94 |
[
"75-65=10",
"16+88=104",
"104-10=94"
] |
Current State: 94:[65, 75, 16, 88], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [16, 88, 10]
Generated Node #2: [16, 88, 10] from Operation: 75-65=10
Current State: 94:[16, 88, 10], Operations: ['75-65=10']
Exploring Operation: 16+88=104, Resulting Numbers: [10, 104]
Generated Node #3: [10, 104] from Operation: 16+88=104
Current State: 94:[10, 104], Operations: ['75-65=10', '16+88=104']
Exploring Operation: 104-10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
2,
51,
76,
65
] | 45 |
[
"76-51=25",
"65+25=90",
"90/2=45"
] |
Current State: 45:[2, 51, 76, 65], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [2, 65, 25]
Generated Node #2: [2, 65, 25] from Operation: 76-51=25
Current State: 45:[2, 65, 25], Operations: ['76-51=25']
Exploring Operation: 65+25=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 65+25=90
Current State: 45:[2, 90], Operations: ['76-51=25', '65+25=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
22,
10,
47,
21
] | 80 |
[
"22-10=12",
"47+21=68",
"12+68=80"
] |
Current State: 80:[22, 10, 47, 21], Operations: []
Exploring Operation: 22-10=12, Resulting Numbers: [47, 21, 12]
Generated Node #2: [47, 21, 12] from Operation: 22-10=12
Current State: 80:[47, 21, 12], Operations: ['22-10=12']
Exploring Operation: 47+21=68, Resulting Numbers: [12, 68]
Generated Node #3: [12, 68] from Operation: 47+21=68
Current State: 80:[12, 68], Operations: ['22-10=12', '47+21=68']
Exploring Operation: 12+68=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
50,
40,
5
] | 51 |
[
"50-40=10",
"10/5=2",
"49+2=51"
] |
Current State: 51:[49, 50, 40, 5], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [49, 5, 10]
Generated Node #2: [49, 5, 10] from Operation: 50-40=10
Current State: 51:[49, 5, 10], Operations: ['50-40=10']
Exploring Operation: 10/5=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 10/5=2
Current State: 51:[49, 2], Operations: ['50-40=10', '10/5=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
44,
39,
13,
7
] | 26 |
[
"44-39=5",
"7-5=2",
"13*2=26"
] |
Current State: 26:[44, 39, 13, 7], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [13, 7, 5]
Generated Node #2: [13, 7, 5] from Operation: 44-39=5
Current State: 26:[13, 7, 5], Operations: ['44-39=5']
Exploring Operation: 7-5=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 7-5=2
Current State: 26:[13, 2], Operations: ['44-39=5', '7-5=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
31,
19,
22,
22
] | 49 |
[
"31+19=50",
"22/22=1",
"50-1=49"
] |
Current State: 49:[31, 19, 22, 22], Operations: []
Exploring Operation: 31+19=50, Resulting Numbers: [22, 22, 50]
Generated Node #2: [22, 22, 50] from Operation: 31+19=50
Current State: 49:[22, 22, 50], Operations: ['31+19=50']
Exploring Operation: 22/22=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 22/22=1
Current State: 49:[50, 1], Operations: ['31+19=50', '22/22=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
44,
84,
74,
67
] | 32 |
[
"74-67=7",
"84/7=12",
"44-12=32"
] |
Current State: 32:[44, 84, 74, 67], Operations: []
Exploring Operation: 74-67=7, Resulting Numbers: [44, 84, 7]
Generated Node #2: [44, 84, 7] from Operation: 74-67=7
Current State: 32:[44, 84, 7], Operations: ['74-67=7']
Exploring Operation: 84/7=12, Resulting Numbers: [44, 12]
Generated Node #3: [44, 12] from Operation: 84/7=12
Current State: 32:[44, 12], Operations: ['74-67=7', '84/7=12']
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
62,
66,
4,
2
] | 99 |
[
"62+4=66",
"66/2=33",
"66+33=99"
] |
Current State: 99:[62, 66, 4, 2], Operations: []
Exploring Operation: 62+4=66, Resulting Numbers: [66, 2, 66]
Generated Node #2: [66, 2, 66] from Operation: 62+4=66
Current State: 99:[66, 2, 66], Operations: ['62+4=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,99 equal: Goal Reached
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
34,
63,
6,
21
] | 84 |
[
"34-6=28",
"63/21=3",
"28*3=84"
] |
Current State: 84:[34, 63, 6, 21], Operations: []
Exploring Operation: 34-6=28, Resulting Numbers: [63, 21, 28]
Generated Node #2: [63, 21, 28] from Operation: 34-6=28
Current State: 84:[63, 21, 28], Operations: ['34-6=28']
Exploring Operation: 63/21=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 63/21=3
Current State: 84:[28, 3], Operations: ['34-6=28', '63/21=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
35,
78,
17,
25
] | 71 |
[
"35+78=113",
"17+25=42",
"113-42=71"
] |
Current State: 71:[35, 78, 17, 25], Operations: []
Exploring Operation: 35+78=113, Resulting Numbers: [17, 25, 113]
Generated Node #2: [17, 25, 113] from Operation: 35+78=113
Current State: 71:[17, 25, 113], Operations: ['35+78=113']
Exploring Operation: 17+25=42, Resulting Numbers: [113, 42]
Generated Node #3: [113, 42] from Operation: 17+25=42
Current State: 71:[113, 42], Operations: ['35+78=113', '17+25=42']
Exploring Operation: 113-42=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
21,
16,
43,
36
] | 12 |
[
"21-16=5",
"43-36=7",
"5+7=12"
] |
Current State: 12:[21, 16, 43, 36], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [43, 36, 5]
Generated Node #2: [43, 36, 5] from Operation: 21-16=5
Current State: 12:[43, 36, 5], Operations: ['21-16=5']
Exploring Operation: 43-36=7, Resulting Numbers: [5, 7]
Generated Node #3: [5, 7] from Operation: 43-36=7
Current State: 12:[5, 7], Operations: ['21-16=5', '43-36=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
60,
30,
97,
92
] | 90 |
[
"97-92=5",
"30*5=150",
"150-60=90"
] |
Current State: 90:[60, 30, 97, 92], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [60, 30, 5]
Generated Node #2: [60, 30, 5] from Operation: 97-92=5
Current State: 90:[60, 30, 5], Operations: ['97-92=5']
Exploring Operation: 30*5=150, Resulting Numbers: [60, 150]
Generated Node #3: [60, 150] from Operation: 30*5=150
Current State: 90:[60, 150], Operations: ['97-92=5', '30*5=150']
Exploring Operation: 150-60=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
5,
15,
36,
35
] | 32 |
[
"35-15=20",
"20/5=4",
"36-4=32"
] |
Current State: 32:[5, 15, 36, 35], Operations: []
Exploring Operation: 35-15=20, Resulting Numbers: [5, 36, 20]
Generated Node #2: [5, 36, 20] from Operation: 35-15=20
Current State: 32:[5, 36, 20], Operations: ['35-15=20']
Exploring Operation: 20/5=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 20/5=4
Current State: 32:[36, 4], Operations: ['35-15=20', '20/5=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
56,
19,
78,
63
] | 55 |
[
"63-56=7",
"19*7=133",
"133-78=55"
] |
Current State: 55:[56, 19, 78, 63], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [19, 78, 7]
Generated Node #2: [19, 78, 7] from Operation: 63-56=7
Current State: 55:[19, 78, 7], Operations: ['63-56=7']
Exploring Operation: 19*7=133, Resulting Numbers: [78, 133]
Generated Node #3: [78, 133] from Operation: 19*7=133
Current State: 55:[78, 133], Operations: ['63-56=7', '19*7=133']
Exploring Operation: 133-78=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
92,
5,
27,
37
] | 66 |
[
"92+27=119",
"5*37=185",
"185-119=66"
] |
Current State: 66:[92, 5, 27, 37], Operations: []
Exploring Operation: 92+27=119, Resulting Numbers: [5, 37, 119]
Generated Node #2: [5, 37, 119] from Operation: 92+27=119
Current State: 66:[5, 37, 119], Operations: ['92+27=119']
Exploring Operation: 5*37=185, Resulting Numbers: [119, 185]
Generated Node #3: [119, 185] from Operation: 5*37=185
Current State: 66:[119, 185], Operations: ['92+27=119', '5*37=185']
Exploring Operation: 185-119=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
56,
89,
97,
5
] | 68 |
[
"56+89=145",
"145/5=29",
"97-29=68"
] |
Current State: 68:[56, 89, 97, 5], Operations: []
Exploring Operation: 56+89=145, Resulting Numbers: [97, 5, 145]
Generated Node #2: [97, 5, 145] from Operation: 56+89=145
Current State: 68:[97, 5, 145], Operations: ['56+89=145']
Exploring Operation: 145/5=29, Resulting Numbers: [97, 29]
Generated Node #3: [97, 29] from Operation: 145/5=29
Current State: 68:[97, 29], Operations: ['56+89=145', '145/5=29']
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
28,
9,
11,
21
] | 13 |
[
"28-9=19",
"11+21=32",
"32-19=13"
] |
Current State: 13:[28, 9, 11, 21], Operations: []
Exploring Operation: 28-9=19, Resulting Numbers: [11, 21, 19]
Generated Node #2: [11, 21, 19] from Operation: 28-9=19
Current State: 13:[11, 21, 19], Operations: ['28-9=19']
Exploring Operation: 11+21=32, Resulting Numbers: [19, 32]
Generated Node #3: [19, 32] from Operation: 11+21=32
Current State: 13:[19, 32], Operations: ['28-9=19', '11+21=32']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
45,
46,
23,
58
] | 71 |
[
"46/23=2",
"58*2=116",
"116-45=71"
] |
Current State: 71:[45, 46, 23, 58], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [45, 58, 2]
Generated Node #2: [45, 58, 2] from Operation: 46/23=2
Current State: 71:[45, 58, 2], Operations: ['46/23=2']
Exploring Operation: 58*2=116, Resulting Numbers: [45, 116]
Generated Node #3: [45, 116] from Operation: 58*2=116
Current State: 71:[45, 116], Operations: ['46/23=2', '58*2=116']
Exploring Operation: 116-45=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
76,
83,
11,
6
] | 73 |
[
"83-76=7",
"11*6=66",
"7+66=73"
] |
Current State: 73:[76, 83, 11, 6], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [11, 6, 7]
Generated Node #2: [11, 6, 7] from Operation: 83-76=7
Current State: 73:[11, 6, 7], Operations: ['83-76=7']
Exploring Operation: 11*6=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 11*6=66
Current State: 73:[7, 66], Operations: ['83-76=7', '11*6=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
52,
51,
86,
78
] | 95 |
[
"52+51=103",
"86-78=8",
"103-8=95"
] |
Current State: 95:[52, 51, 86, 78], Operations: []
Exploring Operation: 52+51=103, Resulting Numbers: [86, 78, 103]
Generated Node #2: [86, 78, 103] from Operation: 52+51=103
Current State: 95:[86, 78, 103], Operations: ['52+51=103']
Exploring Operation: 86-78=8, Resulting Numbers: [103, 8]
Generated Node #3: [103, 8] from Operation: 86-78=8
Current State: 95:[103, 8], Operations: ['52+51=103', '86-78=8']
Exploring Operation: 103-8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
56,
42,
37
] | 86 |
[
"42/6=7",
"56+37=93",
"93-7=86"
] |
Current State: 86:[6, 56, 42, 37], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [56, 37, 7]
Generated Node #2: [56, 37, 7] from Operation: 42/6=7
Current State: 86:[56, 37, 7], Operations: ['42/6=7']
Exploring Operation: 56+37=93, Resulting Numbers: [7, 93]
Generated Node #3: [7, 93] from Operation: 56+37=93
Current State: 86:[7, 93], Operations: ['42/6=7', '56+37=93']
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
10,
71,
60,
16
] | 93 |
[
"60/10=6",
"71+16=87",
"6+87=93"
] |
Current State: 93:[10, 71, 60, 16], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [71, 16, 6]
Generated Node #2: [71, 16, 6] from Operation: 60/10=6
Current State: 93:[71, 16, 6], Operations: ['60/10=6']
Exploring Operation: 71+16=87, Resulting Numbers: [6, 87]
Generated Node #3: [6, 87] from Operation: 71+16=87
Current State: 93:[6, 87], Operations: ['60/10=6', '71+16=87']
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
77,
2,
52,
1
] | 26 |
[
"77+2=79",
"52+1=53",
"79-53=26"
] |
Current State: 26:[77, 2, 52, 1], Operations: []
Exploring Operation: 77+2=79, Resulting Numbers: [52, 1, 79]
Generated Node #2: [52, 1, 79] from Operation: 77+2=79
Current State: 26:[52, 1, 79], Operations: ['77+2=79']
Exploring Operation: 52+1=53, Resulting Numbers: [79, 53]
Generated Node #3: [79, 53] from Operation: 52+1=53
Current State: 26:[79, 53], Operations: ['77+2=79', '52+1=53']
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
91,
18,
2,
17
] | 93 |
[
"91+2=93",
"18-17=1",
"93*1=93"
] |
Current State: 93:[91, 18, 2, 17], Operations: []
Exploring Operation: 91+2=93, Resulting Numbers: [18, 17, 93]
Generated Node #2: [18, 17, 93] from Operation: 91+2=93
Current State: 93:[18, 17, 93], Operations: ['91+2=93']
Exploring Operation: 18-17=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 18-17=1
Current State: 93:[93, 1], Operations: ['91+2=93', '18-17=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
57,
77,
16,
75
] | 65 |
[
"77-75=2",
"16/2=8",
"57+8=65"
] |
Current State: 65:[57, 77, 16, 75], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [57, 16, 2]
Generated Node #2: [57, 16, 2] from Operation: 77-75=2
Current State: 65:[57, 16, 2], Operations: ['77-75=2']
Exploring Operation: 16/2=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 16/2=8
Current State: 65:[57, 8], Operations: ['77-75=2', '16/2=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
91,
99,
81,
93
] | 96 |
[
"91*99=9009",
"9009-81=8928",
"8928/93=96"
] |
Current State: 96:[91, 99, 81, 93], Operations: []
Exploring Operation: 91*99=9009, Resulting Numbers: [81, 93, 9009]
Generated Node #2: [81, 93, 9009] from Operation: 91*99=9009
Current State: 96:[81, 93, 9009], Operations: ['91*99=9009']
Exploring Operation: 9009-81=8928, Resulting Numbers: [93, 8928]
Generated Node #3: [93, 8928] from Operation: 9009-81=8928
Current State: 96:[93, 8928], Operations: ['91*99=9009', '9009-81=8928']
Exploring Operation: 8928/93=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
9,
46,
40,
85
] | 82 |
[
"46-9=37",
"85-40=45",
"37+45=82"
] |
Current State: 82:[9, 46, 40, 85], Operations: []
Exploring Operation: 46-9=37, Resulting Numbers: [40, 85, 37]
Generated Node #2: [40, 85, 37] from Operation: 46-9=37
Current State: 82:[40, 85, 37], Operations: ['46-9=37']
Exploring Operation: 85-40=45, Resulting Numbers: [37, 45]
Generated Node #3: [37, 45] from Operation: 85-40=45
Current State: 82:[37, 45], Operations: ['46-9=37', '85-40=45']
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
58,
61,
26,
60
] | 70 |
[
"60-58=2",
"61-26=35",
"2*35=70"
] |
Current State: 70:[58, 61, 26, 60], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [61, 26, 2]
Generated Node #2: [61, 26, 2] from Operation: 60-58=2
Current State: 70:[61, 26, 2], Operations: ['60-58=2']
Exploring Operation: 61-26=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 61-26=35
Current State: 70:[2, 35], Operations: ['60-58=2', '61-26=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
5,
17,
53,
65
] | 16 |
[
"5*65=325",
"325-53=272",
"272/17=16"
] |
Current State: 16:[5, 17, 53, 65], Operations: []
Exploring Operation: 5*65=325, Resulting Numbers: [17, 53, 325]
Generated Node #2: [17, 53, 325] from Operation: 5*65=325
Current State: 16:[17, 53, 325], Operations: ['5*65=325']
Exploring Operation: 325-53=272, Resulting Numbers: [17, 272]
Generated Node #3: [17, 272] from Operation: 325-53=272
Current State: 16:[17, 272], Operations: ['5*65=325', '325-53=272']
Exploring Operation: 272/17=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
10,
75,
5,
23
] | 28 |
[
"10+5=15",
"75/15=5",
"23+5=28"
] |
Current State: 28:[10, 75, 5, 23], Operations: []
Exploring Operation: 10+5=15, Resulting Numbers: [75, 23, 15]
Generated Node #2: [75, 23, 15] from Operation: 10+5=15
Current State: 28:[75, 23, 15], Operations: ['10+5=15']
Exploring Operation: 75/15=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 75/15=5
Current State: 28:[23, 5], Operations: ['10+5=15', '75/15=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
57,
10,
44,
43
] | 87 |
[
"57-44=13",
"10*13=130",
"130-43=87"
] |
Current State: 87:[57, 10, 44, 43], Operations: []
Exploring Operation: 57-44=13, Resulting Numbers: [10, 43, 13]
Generated Node #2: [10, 43, 13] from Operation: 57-44=13
Current State: 87:[10, 43, 13], Operations: ['57-44=13']
Exploring Operation: 10*13=130, Resulting Numbers: [43, 130]
Generated Node #3: [43, 130] from Operation: 10*13=130
Current State: 87:[43, 130], Operations: ['57-44=13', '10*13=130']
Exploring Operation: 130-43=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
19,
5,
34,
28
] | 47 |
[
"34-19=15",
"5*15=75",
"75-28=47"
] |
Current State: 47:[19, 5, 34, 28], Operations: []
Exploring Operation: 34-19=15, Resulting Numbers: [5, 28, 15]
Generated Node #2: [5, 28, 15] from Operation: 34-19=15
Current State: 47:[5, 28, 15], Operations: ['34-19=15']
Exploring Operation: 5*15=75, Resulting Numbers: [28, 75]
Generated Node #3: [28, 75] from Operation: 5*15=75
Current State: 47:[28, 75], Operations: ['34-19=15', '5*15=75']
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
44,
33,
23,
2
] | 66 |
[
"44+2=46",
"33*46=1518",
"1518/23=66"
] |
Current State: 66:[44, 33, 23, 2], Operations: []
Exploring Operation: 44+2=46, Resulting Numbers: [33, 23, 46]
Generated Node #2: [33, 23, 46] from Operation: 44+2=46
Current State: 66:[33, 23, 46], Operations: ['44+2=46']
Exploring Operation: 33*46=1518, Resulting Numbers: [23, 1518]
Generated Node #3: [23, 1518] from Operation: 33*46=1518
Current State: 66:[23, 1518], Operations: ['44+2=46', '33*46=1518']
Exploring Operation: 1518/23=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
9,
21,
72,
60
] | 66 |
[
"21-9=12",
"72/12=6",
"60+6=66"
] |
Current State: 66:[9, 21, 72, 60], Operations: []
Exploring Operation: 21-9=12, Resulting Numbers: [72, 60, 12]
Generated Node #2: [72, 60, 12] from Operation: 21-9=12
Current State: 66:[72, 60, 12], Operations: ['21-9=12']
Exploring Operation: 72/12=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 72/12=6
Current State: 66:[60, 6], Operations: ['21-9=12', '72/12=6']
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
84,
34,
3,
37
] | 55 |
[
"84-37=47",
"34*3=102",
"102-47=55"
] |
Current State: 55:[84, 34, 3, 37], Operations: []
Exploring Operation: 84-37=47, Resulting Numbers: [34, 3, 47]
Generated Node #2: [34, 3, 47] from Operation: 84-37=47
Current State: 55:[34, 3, 47], Operations: ['84-37=47']
Exploring Operation: 34*3=102, Resulting Numbers: [47, 102]
Generated Node #3: [47, 102] from Operation: 34*3=102
Current State: 55:[47, 102], Operations: ['84-37=47', '34*3=102']
Exploring Operation: 102-47=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
94,
73,
55,
8
] | 68 |
[
"94-73=21",
"55-8=47",
"21+47=68"
] |
Current State: 68:[94, 73, 55, 8], Operations: []
Exploring Operation: 94-73=21, Resulting Numbers: [55, 8, 21]
Generated Node #2: [55, 8, 21] from Operation: 94-73=21
Current State: 68:[55, 8, 21], Operations: ['94-73=21']
Exploring Operation: 55-8=47, Resulting Numbers: [21, 47]
Generated Node #3: [21, 47] from Operation: 55-8=47
Current State: 68:[21, 47], Operations: ['94-73=21', '55-8=47']
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
26,
68,
68,
13
] | 97 |
[
"68-26=42",
"68-13=55",
"42+55=97"
] |
Current State: 97:[26, 68, 68, 13], Operations: []
Exploring Operation: 68-26=42, Resulting Numbers: [13, 42]
Generated Node #2: [13, 42] from Operation: 68-26=42
Current State: 97:[13, 42], Operations: ['68-26=42']
Exploring Operation: 68-13=55, Resulting Numbers: [42, 55]
Generated Node #3: [42, 55] from Operation: 68-13=55
Current State: 97:[42, 55], Operations: ['68-26=42', '68-13=55']
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
79,
92,
11,
77
] | 35 |
[
"79-77=2",
"92/2=46",
"46-11=35"
] |
Current State: 35:[79, 92, 11, 77], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [92, 11, 2]
Generated Node #2: [92, 11, 2] from Operation: 79-77=2
Current State: 35:[92, 11, 2], Operations: ['79-77=2']
Exploring Operation: 92/2=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 92/2=46
Current State: 35:[11, 46], Operations: ['79-77=2', '92/2=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
42,
36,
11,
84
] | 49 |
[
"84/42=2",
"36+11=47",
"2+47=49"
] |
Current State: 49:[42, 36, 11, 84], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [36, 11, 2]
Generated Node #2: [36, 11, 2] from Operation: 84/42=2
Current State: 49:[36, 11, 2], Operations: ['84/42=2']
Exploring Operation: 36+11=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 36+11=47
Current State: 49:[2, 47], Operations: ['84/42=2', '36+11=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
53,
94,
48,
56
] | 50 |
[
"56-53=3",
"48*3=144",
"144-94=50"
] |
Current State: 50:[53, 94, 48, 56], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [94, 48, 3]
Generated Node #2: [94, 48, 3] from Operation: 56-53=3
Current State: 50:[94, 48, 3], Operations: ['56-53=3']
Exploring Operation: 48*3=144, Resulting Numbers: [94, 144]
Generated Node #3: [94, 144] from Operation: 48*3=144
Current State: 50:[94, 144], Operations: ['56-53=3', '48*3=144']
Exploring Operation: 144-94=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
59,
41,
51,
9
] | 53 |
[
"59-41=18",
"18/9=2",
"51+2=53"
] |
Current State: 53:[59, 41, 51, 9], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [51, 9, 18]
Generated Node #2: [51, 9, 18] from Operation: 59-41=18
Current State: 53:[51, 9, 18], Operations: ['59-41=18']
Exploring Operation: 18/9=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 18/9=2
Current State: 53:[51, 2], Operations: ['59-41=18', '18/9=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
33,
15,
55,
74
] | 99 |
[
"15*55=825",
"825/33=25",
"74+25=99"
] |
Current State: 99:[33, 15, 55, 74], Operations: []
Exploring Operation: 15*55=825, Resulting Numbers: [33, 74, 825]
Generated Node #2: [33, 74, 825] from Operation: 15*55=825
Current State: 99:[33, 74, 825], Operations: ['15*55=825']
Exploring Operation: 825/33=25, Resulting Numbers: [74, 25]
Generated Node #3: [74, 25] from Operation: 825/33=25
Current State: 99:[74, 25], Operations: ['15*55=825', '825/33=25']
Exploring Operation: 74+25=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
62,
38,
35,
19
] | 84 |
[
"62+38=100",
"35-19=16",
"100-16=84"
] |
Current State: 84:[62, 38, 35, 19], Operations: []
Exploring Operation: 62+38=100, Resulting Numbers: [35, 19, 100]
Generated Node #2: [35, 19, 100] from Operation: 62+38=100
Current State: 84:[35, 19, 100], Operations: ['62+38=100']
Exploring Operation: 35-19=16, Resulting Numbers: [100, 16]
Generated Node #3: [100, 16] from Operation: 35-19=16
Current State: 84:[100, 16], Operations: ['62+38=100', '35-19=16']
Exploring Operation: 100-16=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
1,
12,
83,
69
] | 76 |
[
"1+83=84",
"84/12=7",
"69+7=76"
] |
Current State: 76:[1, 12, 83, 69], Operations: []
Exploring Operation: 1+83=84, Resulting Numbers: [12, 69, 84]
Generated Node #2: [12, 69, 84] from Operation: 1+83=84
Current State: 76:[12, 69, 84], Operations: ['1+83=84']
Exploring Operation: 84/12=7, Resulting Numbers: [69, 7]
Generated Node #3: [69, 7] from Operation: 84/12=7
Current State: 76:[69, 7], Operations: ['1+83=84', '84/12=7']
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
71,
62,
67,
11
] | 12 |
[
"71-11=60",
"67-62=5",
"60/5=12"
] |
Current State: 12:[71, 62, 67, 11], Operations: []
Exploring Operation: 71-11=60, Resulting Numbers: [62, 67, 60]
Generated Node #2: [62, 67, 60] from Operation: 71-11=60
Current State: 12:[62, 67, 60], Operations: ['71-11=60']
Exploring Operation: 67-62=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 67-62=5
Current State: 12:[60, 5], Operations: ['71-11=60', '67-62=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
86,
16,
43,
52
] | 88 |
[
"86/43=2",
"52*2=104",
"104-16=88"
] |
Current State: 88:[86, 16, 43, 52], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [16, 52, 2]
Generated Node #2: [16, 52, 2] from Operation: 86/43=2
Current State: 88:[16, 52, 2], Operations: ['86/43=2']
Exploring Operation: 52*2=104, Resulting Numbers: [16, 104]
Generated Node #3: [16, 104] from Operation: 52*2=104
Current State: 88:[16, 104], Operations: ['86/43=2', '52*2=104']
Exploring Operation: 104-16=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
83,
95,
67,
48
] | 98 |
[
"83-67=16",
"48/16=3",
"95+3=98"
] |
Current State: 98:[83, 95, 67, 48], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [95, 48, 16]
Generated Node #2: [95, 48, 16] from Operation: 83-67=16
Current State: 98:[95, 48, 16], Operations: ['83-67=16']
Exploring Operation: 48/16=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 48/16=3
Current State: 98:[95, 3], Operations: ['83-67=16', '48/16=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
93,
53,
51,
55
] | 76 |
[
"93-55=38",
"53-51=2",
"38*2=76"
] |
Current State: 76:[93, 53, 51, 55], Operations: []
Exploring Operation: 93-55=38, Resulting Numbers: [53, 51, 38]
Generated Node #2: [53, 51, 38] from Operation: 93-55=38
Current State: 76:[53, 51, 38], Operations: ['93-55=38']
Exploring Operation: 53-51=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 53-51=2
Current State: 76:[38, 2], Operations: ['93-55=38', '53-51=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
22,
30,
18,
24
] | 44 |
[
"22*24=528",
"30-18=12",
"528/12=44"
] |
Current State: 44:[22, 30, 18, 24], Operations: []
Exploring Operation: 22*24=528, Resulting Numbers: [30, 18, 528]
Generated Node #2: [30, 18, 528] from Operation: 22*24=528
Current State: 44:[30, 18, 528], Operations: ['22*24=528']
Exploring Operation: 30-18=12, Resulting Numbers: [528, 12]
Generated Node #3: [528, 12] from Operation: 30-18=12
Current State: 44:[528, 12], Operations: ['22*24=528', '30-18=12']
Exploring Operation: 528/12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
92,
9,
73,
45
] | 95 |
[
"92-73=19",
"45/9=5",
"19*5=95"
] |
Current State: 95:[92, 9, 73, 45], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [9, 45, 19]
Generated Node #2: [9, 45, 19] from Operation: 92-73=19
Current State: 95:[9, 45, 19], Operations: ['92-73=19']
Exploring Operation: 45/9=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 45/9=5
Current State: 95:[19, 5], Operations: ['92-73=19', '45/9=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
15,
4,
5,
76
] | 52 |
[
"15+4=19",
"76-5=71",
"71-19=52"
] |
Current State: 52:[15, 4, 5, 76], Operations: []
Exploring Operation: 15+4=19, Resulting Numbers: [5, 76, 19]
Generated Node #2: [5, 76, 19] from Operation: 15+4=19
Current State: 52:[5, 76, 19], Operations: ['15+4=19']
Exploring Operation: 76-5=71, Resulting Numbers: [19, 71]
Generated Node #3: [19, 71] from Operation: 76-5=71
Current State: 52:[19, 71], Operations: ['15+4=19', '76-5=71']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
74,
9,
74,
94
] | 94 |
[
"74-74=0",
"9*0=0",
"94+0=94"
] |
Current State: 94:[74, 9, 74, 94], Operations: []
Exploring Operation: 74-74=0, Resulting Numbers: [9, 94, 0]
Generated Node #2: [9, 94, 0] from Operation: 74-74=0
Current State: 94:[9, 94, 0], Operations: ['74-74=0']
Exploring Operation: 9*0=0, Resulting Numbers: [94, 0]
Generated Node #3: [94, 0] from Operation: 9*0=0
Current State: 94:[94, 0], Operations: ['74-74=0', '9*0=0']
Exploring Operation: 94+0=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
1,
96,
87,
25
] | 83 |
[
"25-1=24",
"96/24=4",
"87-4=83"
] |
Current State: 83:[1, 96, 87, 25], Operations: []
Exploring Operation: 25-1=24, Resulting Numbers: [96, 87, 24]
Generated Node #2: [96, 87, 24] from Operation: 25-1=24
Current State: 83:[96, 87, 24], Operations: ['25-1=24']
Exploring Operation: 96/24=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 96/24=4
Current State: 83:[87, 4], Operations: ['25-1=24', '96/24=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
87,
61,
7,
13
] | 57 |
[
"87+61=148",
"7*13=91",
"148-91=57"
] |
Current State: 57:[87, 61, 7, 13], Operations: []
Exploring Operation: 87+61=148, Resulting Numbers: [7, 13, 148]
Generated Node #2: [7, 13, 148] from Operation: 87+61=148
Current State: 57:[7, 13, 148], Operations: ['87+61=148']
Exploring Operation: 7*13=91, Resulting Numbers: [148, 91]
Generated Node #3: [148, 91] from Operation: 7*13=91
Current State: 57:[148, 91], Operations: ['87+61=148', '7*13=91']
Exploring Operation: 148-91=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
64,
14,
80,
56
] | 21 |
[
"64+56=120",
"14*120=1680",
"1680/80=21"
] |
Current State: 21:[64, 14, 80, 56], Operations: []
Exploring Operation: 64+56=120, Resulting Numbers: [14, 80, 120]
Generated Node #2: [14, 80, 120] from Operation: 64+56=120
Current State: 21:[14, 80, 120], Operations: ['64+56=120']
Exploring Operation: 14*120=1680, Resulting Numbers: [80, 1680]
Generated Node #3: [80, 1680] from Operation: 14*120=1680
Current State: 21:[80, 1680], Operations: ['64+56=120', '14*120=1680']
Exploring Operation: 1680/80=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
14,
84,
83,
78
] | 93 |
[
"14+84=98",
"83-78=5",
"98-5=93"
] |
Current State: 93:[14, 84, 83, 78], Operations: []
Exploring Operation: 14+84=98, Resulting Numbers: [83, 78, 98]
Generated Node #2: [83, 78, 98] from Operation: 14+84=98
Current State: 93:[83, 78, 98], Operations: ['14+84=98']
Exploring Operation: 83-78=5, Resulting Numbers: [98, 5]
Generated Node #3: [98, 5] from Operation: 83-78=5
Current State: 93:[98, 5], Operations: ['14+84=98', '83-78=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
76,
34,
49,
84
] | 23 |
[
"76+34=110",
"49+84=133",
"133-110=23"
] |
Current State: 23:[76, 34, 49, 84], Operations: []
Exploring Operation: 76+34=110, Resulting Numbers: [49, 84, 110]
Generated Node #2: [49, 84, 110] from Operation: 76+34=110
Current State: 23:[49, 84, 110], Operations: ['76+34=110']
Exploring Operation: 49+84=133, Resulting Numbers: [110, 133]
Generated Node #3: [110, 133] from Operation: 49+84=133
Current State: 23:[110, 133], Operations: ['76+34=110', '49+84=133']
Exploring Operation: 133-110=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
66,
52,
94,
68
] | 21 |
[
"68-66=2",
"94-52=42",
"42/2=21"
] |
Current State: 21:[66, 52, 94, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [52, 94, 2]
Generated Node #2: [52, 94, 2] from Operation: 68-66=2
Current State: 21:[52, 94, 2], Operations: ['68-66=2']
Exploring Operation: 94-52=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 94-52=42
Current State: 21:[2, 42], Operations: ['68-66=2', '94-52=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
45,
47,
83,
98
] | 68 |
[
"47-45=2",
"83*2=166",
"166-98=68"
] |
Current State: 68:[45, 47, 83, 98], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [83, 98, 2]
Generated Node #2: [83, 98, 2] from Operation: 47-45=2
Current State: 68:[83, 98, 2], Operations: ['47-45=2']
Exploring Operation: 83*2=166, Resulting Numbers: [98, 166]
Generated Node #3: [98, 166] from Operation: 83*2=166
Current State: 68:[98, 166], Operations: ['47-45=2', '83*2=166']
Exploring Operation: 166-98=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
1,
88,
22,
49
] | 52 |
[
"49-1=48",
"88/22=4",
"48+4=52"
] |
Current State: 52:[1, 88, 22, 49], Operations: []
Exploring Operation: 49-1=48, Resulting Numbers: [88, 22, 48]
Generated Node #2: [88, 22, 48] from Operation: 49-1=48
Current State: 52:[88, 22, 48], Operations: ['49-1=48']
Exploring Operation: 88/22=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 88/22=4
Current State: 52:[48, 4], Operations: ['49-1=48', '88/22=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
43,
63,
18,
43
] | 81 |
[
"43+63=106",
"43-18=25",
"106-25=81"
] |
Current State: 81:[43, 63, 18, 43], Operations: []
Exploring Operation: 43+63=106, Resulting Numbers: [18, 106]
Generated Node #2: [18, 106] from Operation: 43+63=106
Current State: 81:[18, 106], Operations: ['43+63=106']
Exploring Operation: 43-18=25, Resulting Numbers: [106, 25]
Generated Node #3: [106, 25] from Operation: 43-18=25
Current State: 81:[106, 25], Operations: ['43+63=106', '43-18=25']
Exploring Operation: 106-25=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
6,
18,
9,
55
] | 43 |
[
"6*18=108",
"108/9=12",
"55-12=43"
] |
Current State: 43:[6, 18, 9, 55], Operations: []
Exploring Operation: 6*18=108, Resulting Numbers: [9, 55, 108]
Generated Node #2: [9, 55, 108] from Operation: 6*18=108
Current State: 43:[9, 55, 108], Operations: ['6*18=108']
Exploring Operation: 108/9=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 108/9=12
Current State: 43:[55, 12], Operations: ['6*18=108', '108/9=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
96,
61,
24,
81
] | 92 |
[
"96-61=35",
"81-24=57",
"35+57=92"
] |
Current State: 92:[96, 61, 24, 81], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [24, 81, 35]
Generated Node #2: [24, 81, 35] from Operation: 96-61=35
Current State: 92:[24, 81, 35], Operations: ['96-61=35']
Exploring Operation: 81-24=57, Resulting Numbers: [35, 57]
Generated Node #3: [35, 57] from Operation: 81-24=57
Current State: 92:[35, 57], Operations: ['96-61=35', '81-24=57']
Exploring Operation: 35+57=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
38,
49,
15,
60
] | 34 |
[
"49-38=11",
"60-15=45",
"45-11=34"
] |
Current State: 34:[38, 49, 15, 60], Operations: []
Exploring Operation: 49-38=11, Resulting Numbers: [15, 60, 11]
Generated Node #2: [15, 60, 11] from Operation: 49-38=11
Current State: 34:[15, 60, 11], Operations: ['49-38=11']
Exploring Operation: 60-15=45, Resulting Numbers: [11, 45]
Generated Node #3: [11, 45] from Operation: 60-15=45
Current State: 34:[11, 45], Operations: ['49-38=11', '60-15=45']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
45,
9,
65,
84
] | 35 |
[
"45+9=54",
"84-65=19",
"54-19=35"
] |
Current State: 35:[45, 9, 65, 84], Operations: []
Exploring Operation: 45+9=54, Resulting Numbers: [65, 84, 54]
Generated Node #2: [65, 84, 54] from Operation: 45+9=54
Current State: 35:[65, 84, 54], Operations: ['45+9=54']
Exploring Operation: 84-65=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 84-65=19
Current State: 35:[54, 19], Operations: ['45+9=54', '84-65=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
28,
30,
4,
33
] | 62 |
[
"30-28=2",
"33*2=66",
"66-4=62"
] |
Current State: 62:[28, 30, 4, 33], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [4, 33, 2]
Generated Node #2: [4, 33, 2] from Operation: 30-28=2
Current State: 62:[4, 33, 2], Operations: ['30-28=2']
Exploring Operation: 33*2=66, Resulting Numbers: [4, 66]
Generated Node #3: [4, 66] from Operation: 33*2=66
Current State: 62:[4, 66], Operations: ['30-28=2', '33*2=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
42,
80,
91,
41
] | 18 |
[
"80-41=39",
"42*39=1638",
"1638/91=18"
] |
Current State: 18:[42, 80, 91, 41], Operations: []
Exploring Operation: 80-41=39, Resulting Numbers: [42, 91, 39]
Generated Node #2: [42, 91, 39] from Operation: 80-41=39
Current State: 18:[42, 91, 39], Operations: ['80-41=39']
Exploring Operation: 42*39=1638, Resulting Numbers: [91, 1638]
Generated Node #3: [91, 1638] from Operation: 42*39=1638
Current State: 18:[91, 1638], Operations: ['80-41=39', '42*39=1638']
Exploring Operation: 1638/91=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
97,
73,
20,
10
] | 30 |
[
"97+73=170",
"20*10=200",
"200-170=30"
] |
Current State: 30:[97, 73, 20, 10], Operations: []
Exploring Operation: 97+73=170, Resulting Numbers: [20, 10, 170]
Generated Node #2: [20, 10, 170] from Operation: 97+73=170
Current State: 30:[20, 10, 170], Operations: ['97+73=170']
Exploring Operation: 20*10=200, Resulting Numbers: [170, 200]
Generated Node #3: [170, 200] from Operation: 20*10=200
Current State: 30:[170, 200], Operations: ['97+73=170', '20*10=200']
Exploring Operation: 200-170=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
54,
22,
72,
2
] | 31 |
[
"72-54=18",
"18/2=9",
"22+9=31"
] |
Current State: 31:[54, 22, 72, 2], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [22, 2, 18]
Generated Node #2: [22, 2, 18] from Operation: 72-54=18
Current State: 31:[22, 2, 18], Operations: ['72-54=18']
Exploring Operation: 18/2=9, Resulting Numbers: [22, 9]
Generated Node #3: [22, 9] from Operation: 18/2=9
Current State: 31:[22, 9], Operations: ['72-54=18', '18/2=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
41,
21,
82,
86
] | 66 |
[
"41+21=62",
"86-82=4",
"62+4=66"
] |
Current State: 66:[41, 21, 82, 86], Operations: []
Exploring Operation: 41+21=62, Resulting Numbers: [82, 86, 62]
Generated Node #2: [82, 86, 62] from Operation: 41+21=62
Current State: 66:[82, 86, 62], Operations: ['41+21=62']
Exploring Operation: 86-82=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 86-82=4
Current State: 66:[62, 4], Operations: ['41+21=62', '86-82=4']
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
98,
67,
18,
90
] | 33 |
[
"98+67=165",
"90/18=5",
"165/5=33"
] |
Current State: 33:[98, 67, 18, 90], Operations: []
Exploring Operation: 98+67=165, Resulting Numbers: [18, 90, 165]
Generated Node #2: [18, 90, 165] from Operation: 98+67=165
Current State: 33:[18, 90, 165], Operations: ['98+67=165']
Exploring Operation: 90/18=5, Resulting Numbers: [165, 5]
Generated Node #3: [165, 5] from Operation: 90/18=5
Current State: 33:[165, 5], Operations: ['98+67=165', '90/18=5']
Exploring Operation: 165/5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
71,
59,
69,
98
] | 41 |
[
"71-59=12",
"98-69=29",
"12+29=41"
] |
Current State: 41:[71, 59, 69, 98], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [69, 98, 12]
Generated Node #2: [69, 98, 12] from Operation: 71-59=12
Current State: 41:[69, 98, 12], Operations: ['71-59=12']
Exploring Operation: 98-69=29, Resulting Numbers: [12, 29]
Generated Node #3: [12, 29] from Operation: 98-69=29
Current State: 41:[12, 29], Operations: ['71-59=12', '98-69=29']
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
12,
36,
51,
41
] | 84 |
[
"51-41=10",
"12*10=120",
"120-36=84"
] |
Current State: 84:[12, 36, 51, 41], Operations: []
Exploring Operation: 51-41=10, Resulting Numbers: [12, 36, 10]
Generated Node #2: [12, 36, 10] from Operation: 51-41=10
Current State: 84:[12, 36, 10], Operations: ['51-41=10']
Exploring Operation: 12*10=120, Resulting Numbers: [36, 120]
Generated Node #3: [36, 120] from Operation: 12*10=120
Current State: 84:[36, 120], Operations: ['51-41=10', '12*10=120']
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
25,
19,
38,
54
] | 58 |
[
"54-25=29",
"38/19=2",
"29*2=58"
] |
Current State: 58:[25, 19, 38, 54], Operations: []
Exploring Operation: 54-25=29, Resulting Numbers: [19, 38, 29]
Generated Node #2: [19, 38, 29] from Operation: 54-25=29
Current State: 58:[19, 38, 29], Operations: ['54-25=29']
Exploring Operation: 38/19=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 38/19=2
Current State: 58:[29, 2], Operations: ['54-25=29', '38/19=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
46,
38,
69,
15
] | 92 |
[
"46-38=8",
"69+15=84",
"8+84=92"
] |
Current State: 92:[46, 38, 69, 15], Operations: []
Exploring Operation: 46-38=8, Resulting Numbers: [69, 15, 8]
Generated Node #2: [69, 15, 8] from Operation: 46-38=8
Current State: 92:[69, 15, 8], Operations: ['46-38=8']
Exploring Operation: 69+15=84, Resulting Numbers: [8, 84]
Generated Node #3: [8, 84] from Operation: 69+15=84
Current State: 92:[8, 84], Operations: ['46-38=8', '69+15=84']
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
6,
25,
49,
56
] | 88 |
[
"49-25=24",
"6*24=144",
"144-56=88"
] |
Current State: 88:[6, 25, 49, 56], Operations: []
Exploring Operation: 49-25=24, Resulting Numbers: [6, 56, 24]
Generated Node #2: [6, 56, 24] from Operation: 49-25=24
Current State: 88:[6, 56, 24], Operations: ['49-25=24']
Exploring Operation: 6*24=144, Resulting Numbers: [56, 144]
Generated Node #3: [56, 144] from Operation: 6*24=144
Current State: 88:[56, 144], Operations: ['49-25=24', '6*24=144']
Exploring Operation: 144-56=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
54,
7,
4,
37
] | 96 |
[
"54+7=61",
"61-37=24",
"4*24=96"
] |
Current State: 96:[54, 7, 4, 37], Operations: []
Exploring Operation: 54+7=61, Resulting Numbers: [4, 37, 61]
Generated Node #2: [4, 37, 61] from Operation: 54+7=61
Current State: 96:[4, 37, 61], Operations: ['54+7=61']
Exploring Operation: 61-37=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 61-37=24
Current State: 96:[4, 24], Operations: ['54+7=61', '61-37=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
26,
67,
81,
92
] | 82 |
[
"26+67=93",
"92-81=11",
"93-11=82"
] |
Current State: 82:[26, 67, 81, 92], Operations: []
Exploring Operation: 26+67=93, Resulting Numbers: [81, 92, 93]
Generated Node #2: [81, 92, 93] from Operation: 26+67=93
Current State: 82:[81, 92, 93], Operations: ['26+67=93']
Exploring Operation: 92-81=11, Resulting Numbers: [93, 11]
Generated Node #3: [93, 11] from Operation: 92-81=11
Current State: 82:[93, 11], Operations: ['26+67=93', '92-81=11']
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
42,
3,
84,
62
] | 68 |
[
"42/3=14",
"84/14=6",
"62+6=68"
] |
Current State: 68:[42, 3, 84, 62], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [84, 62, 14]
Generated Node #2: [84, 62, 14] from Operation: 42/3=14
Current State: 68:[84, 62, 14], Operations: ['42/3=14']
Exploring Operation: 84/14=6, Resulting Numbers: [62, 6]
Generated Node #3: [62, 6] from Operation: 84/14=6
Current State: 68:[62, 6], Operations: ['42/3=14', '84/14=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
11,
23,
51,
23
] | 55 |
[
"51-23=28",
"28-23=5",
"11*5=55"
] |
Current State: 55:[11, 23, 51, 23], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [11, 28]
Generated Node #2: [11, 28] from Operation: 51-23=28
Current State: 55:[11, 28], Operations: ['51-23=28']
Exploring Operation: 28-23=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 28-23=5
Current State: 55:[11, 5], Operations: ['51-23=28', '28-23=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
22,
62,
15,
48
] | 22 |
[
"62-15=47",
"48-47=1",
"22*1=22"
] |
Current State: 22:[22, 62, 15, 48], Operations: []
Exploring Operation: 62-15=47, Resulting Numbers: [22, 48, 47]
Generated Node #2: [22, 48, 47] from Operation: 62-15=47
Current State: 22:[22, 48, 47], Operations: ['62-15=47']
Exploring Operation: 48-47=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 48-47=1
Current State: 22:[22, 1], Operations: ['62-15=47', '48-47=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
9,
3,
12,
52
] | 43 |
[
"9/3=3",
"52-12=40",
"3+40=43"
] |
Current State: 43:[9, 3, 12, 52], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [12, 52, 3]
Generated Node #2: [12, 52, 3] from Operation: 9/3=3
Current State: 43:[12, 52, 3], Operations: ['9/3=3']
Exploring Operation: 52-12=40, Resulting Numbers: [3, 40]
Generated Node #3: [3, 40] from Operation: 52-12=40
Current State: 43:[3, 40], Operations: ['9/3=3', '52-12=40']
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
45,
57,
61,
26
] | 58 |
[
"45-26=19",
"57/19=3",
"61-3=58"
] |
Current State: 58:[45, 57, 61, 26], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [57, 61, 19]
Generated Node #2: [57, 61, 19] from Operation: 45-26=19
Current State: 58:[57, 61, 19], Operations: ['45-26=19']
Exploring Operation: 57/19=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 57/19=3
Current State: 58:[61, 3], Operations: ['45-26=19', '57/19=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
41,
91,
59,
6
] | 79 |
[
"41+91=132",
"59-6=53",
"132-53=79"
] |
Current State: 79:[41, 91, 59, 6], Operations: []
Exploring Operation: 41+91=132, Resulting Numbers: [59, 6, 132]
Generated Node #2: [59, 6, 132] from Operation: 41+91=132
Current State: 79:[59, 6, 132], Operations: ['41+91=132']
Exploring Operation: 59-6=53, Resulting Numbers: [132, 53]
Generated Node #3: [132, 53] from Operation: 59-6=53
Current State: 79:[132, 53], Operations: ['41+91=132', '59-6=53']
Exploring Operation: 132-53=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
99,
25,
97,
98
] | 48 |
[
"99-97=2",
"25*2=50",
"98-50=48"
] |
Current State: 48:[99, 25, 97, 98], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [25, 98, 2]
Generated Node #2: [25, 98, 2] from Operation: 99-97=2
Current State: 48:[25, 98, 2], Operations: ['99-97=2']
Exploring Operation: 25*2=50, Resulting Numbers: [98, 50]
Generated Node #3: [98, 50] from Operation: 25*2=50
Current State: 48:[98, 50], Operations: ['99-97=2', '25*2=50']
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
69,
54,
6,
81
] | 11 |
[
"69-54=15",
"81-15=66",
"66/6=11"
] |
Current State: 11:[69, 54, 6, 81], Operations: []
Exploring Operation: 69-54=15, Resulting Numbers: [6, 81, 15]
Generated Node #2: [6, 81, 15] from Operation: 69-54=15
Current State: 11:[6, 81, 15], Operations: ['69-54=15']
Exploring Operation: 81-15=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 81-15=66
Current State: 11:[6, 66], Operations: ['69-54=15', '81-15=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
62,
59,
33,
4
] | 34 |
[
"62-59=3",
"33+4=37",
"37-3=34"
] |
Current State: 34:[62, 59, 33, 4], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [33, 4, 3]
Generated Node #2: [33, 4, 3] from Operation: 62-59=3
Current State: 34:[33, 4, 3], Operations: ['62-59=3']
Exploring Operation: 33+4=37, Resulting Numbers: [3, 37]
Generated Node #3: [3, 37] from Operation: 33+4=37
Current State: 34:[3, 37], Operations: ['62-59=3', '33+4=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
23,
3,
83,
1
] | 30 |
[
"83-23=60",
"3-1=2",
"60/2=30"
] |
Current State: 30:[23, 3, 83, 1], Operations: []
Exploring Operation: 83-23=60, Resulting Numbers: [3, 1, 60]
Generated Node #2: [3, 1, 60] from Operation: 83-23=60
Current State: 30:[3, 1, 60], Operations: ['83-23=60']
Exploring Operation: 3-1=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 3-1=2
Current State: 30:[60, 2], Operations: ['83-23=60', '3-1=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
79,
7,
87
] | 78 |
[
"2*79=158",
"87-7=80",
"158-80=78"
] |
Current State: 78:[2, 79, 7, 87], Operations: []
Exploring Operation: 2*79=158, Resulting Numbers: [7, 87, 158]
Generated Node #2: [7, 87, 158] from Operation: 2*79=158
Current State: 78:[7, 87, 158], Operations: ['2*79=158']
Exploring Operation: 87-7=80, Resulting Numbers: [158, 80]
Generated Node #3: [158, 80] from Operation: 87-7=80
Current State: 78:[158, 80], Operations: ['2*79=158', '87-7=80']
Exploring Operation: 158-80=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
41,
81,
79,
35
] | 29 |
[
"81-79=2",
"35*2=70",
"70-41=29"
] |
Current State: 29:[41, 81, 79, 35], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [41, 35, 2]
Generated Node #2: [41, 35, 2] from Operation: 81-79=2
Current State: 29:[41, 35, 2], Operations: ['81-79=2']
Exploring Operation: 35*2=70, Resulting Numbers: [41, 70]
Generated Node #3: [41, 70] from Operation: 35*2=70
Current State: 29:[41, 70], Operations: ['81-79=2', '35*2=70']
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
49,
64,
48,
13
] | 96 |
[
"64-49=15",
"15-13=2",
"48*2=96"
] |
Current State: 96:[49, 64, 48, 13], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [48, 13, 15]
Generated Node #2: [48, 13, 15] from Operation: 64-49=15
Current State: 96:[48, 13, 15], Operations: ['64-49=15']
Exploring Operation: 15-13=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 15-13=2
Current State: 96:[48, 2], Operations: ['64-49=15', '15-13=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
34,
46,
60,
19
] | 39 |
[
"34+46=80",
"60-19=41",
"80-41=39"
] |
Current State: 39:[34, 46, 60, 19], Operations: []
Exploring Operation: 34+46=80, Resulting Numbers: [60, 19, 80]
Generated Node #2: [60, 19, 80] from Operation: 34+46=80
Current State: 39:[60, 19, 80], Operations: ['34+46=80']
Exploring Operation: 60-19=41, Resulting Numbers: [80, 41]
Generated Node #3: [80, 41] from Operation: 60-19=41
Current State: 39:[80, 41], Operations: ['34+46=80', '60-19=41']
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
72,
58,
93
] | 91 |
[
"54+72=126",
"93-58=35",
"126-35=91"
] |
Current State: 91:[54, 72, 58, 93], Operations: []
Exploring Operation: 54+72=126, Resulting Numbers: [58, 93, 126]
Generated Node #2: [58, 93, 126] from Operation: 54+72=126
Current State: 91:[58, 93, 126], Operations: ['54+72=126']
Exploring Operation: 93-58=35, Resulting Numbers: [126, 35]
Generated Node #3: [126, 35] from Operation: 93-58=35
Current State: 91:[126, 35], Operations: ['54+72=126', '93-58=35']
Exploring Operation: 126-35=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
85,
13,
19,
27
] | 19 |
[
"85+19=104",
"104/13=8",
"27-8=19"
] |
Current State: 19:[85, 13, 19, 27], Operations: []
Exploring Operation: 85+19=104, Resulting Numbers: [13, 27, 104]
Generated Node #2: [13, 27, 104] from Operation: 85+19=104
Current State: 19:[13, 27, 104], Operations: ['85+19=104']
Exploring Operation: 104/13=8, Resulting Numbers: [27, 8]
Generated Node #3: [27, 8] from Operation: 104/13=8
Current State: 19:[27, 8], Operations: ['85+19=104', '104/13=8']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
51,
32,
36
] | 96 |
[
"51-12=39",
"39-36=3",
"32*3=96"
] |
Current State: 96:[12, 51, 32, 36], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [32, 36, 39]
Generated Node #2: [32, 36, 39] from Operation: 51-12=39
Current State: 96:[32, 36, 39], Operations: ['51-12=39']
Exploring Operation: 39-36=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 39-36=3
Current State: 96:[32, 3], Operations: ['51-12=39', '39-36=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
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