nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
24,
94,
22,
11
] | 58 | [
"24-22=2",
"94/2=47",
"11+47=58"
] | Current State: 58:[24, 94, 22, 11], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [94, 11, 2]
Generated Node #2: [94, 11, 2] from Operation: 24-22=2
Current State: 58:[94, 11, 2], Operations: ['24-22=2']
Exploring Operation: 94/2=47, Resulting Numbers: [11, 47]
Generated Node #3: [11, 47] from Operation: 94/2=47
Current State: 58:[11, 47], Operations: ['24-22=2', '94/2=47']
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
88,
44,
14,
17
] | 38 | [
"88+14=102",
"102/17=6",
"44-6=38"
] | Current State: 38:[88, 44, 14, 17], Operations: []
Exploring Operation: 88+14=102, Resulting Numbers: [44, 17, 102]
Generated Node #2: [44, 17, 102] from Operation: 88+14=102
Current State: 38:[44, 17, 102], Operations: ['88+14=102']
Exploring Operation: 102/17=6, Resulting Numbers: [44, 6]
Generated Node #3: [44, 6] from Operation: 102/17=6
Current State: 38:[44, 6], Operations: ['88+14=102', '102/17=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
16,
18,
64,
41
] | 11 | [
"16+18=34",
"64-41=23",
"34-23=11"
] | Current State: 11:[16, 18, 64, 41], Operations: []
Exploring Operation: 16+18=34, Resulting Numbers: [64, 41, 34]
Generated Node #2: [64, 41, 34] from Operation: 16+18=34
Current State: 11:[64, 41, 34], Operations: ['16+18=34']
Exploring Operation: 64-41=23, Resulting Numbers: [34, 23]
Generated Node #3: [34, 23] from Operation: 64-41=23
Current State: 11:[34, 23], Operations: ['16+18=34', '64-41=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
28,
38,
2,
58
] | 12 | [
"58-38=20",
"2*20=40",
"40-28=12"
] | Current State: 12:[28, 38, 2, 58], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [28, 2, 20]
Generated Node #2: [28, 2, 20] from Operation: 58-38=20
Current State: 12:[28, 2, 20], Operations: ['58-38=20']
Exploring Operation: 2*20=40, Resulting Numbers: [28, 40]
Generated Node #3: [28, 40] from Operation: 2*20=40
Current State: 12:[28, 40], Operations: ['58-38=20', '2*20=40']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
87,
31,
86,
70
] | 40 | [
"87-31=56",
"86-70=16",
"56-16=40"
] | Current State: 40:[87, 31, 86, 70], Operations: []
Exploring Operation: 87-31=56, Resulting Numbers: [86, 70, 56]
Generated Node #2: [86, 70, 56] from Operation: 87-31=56
Current State: 40:[86, 70, 56], Operations: ['87-31=56']
Exploring Operation: 86-70=16, Resulting Numbers: [56, 16]
Generated Node #3: [56, 16] from Operation: 86-70=16
Current State: 40:[56, 16], Operations: ['87-31=56', '86-70=16']
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
30,
77,
21,
27
] | 11 | [
"30-27=3",
"77*3=231",
"231/21=11"
] | Current State: 11:[30, 77, 21, 27], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [77, 21, 3]
Generated Node #2: [77, 21, 3] from Operation: 30-27=3
Current State: 11:[77, 21, 3], Operations: ['30-27=3']
Exploring Operation: 77*3=231, Resulting Numbers: [21, 231]
Generated Node #3: [21, 231] from Operation: 77*3=231
Current State: 11:[21, 231], Operations: ['30-27=3', '77*3=231']
Exploring Operation: 231/21=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
45,
26,
16,
5
] | 65 | [
"45-5=40",
"26*40=1040",
"1040/16=65"
] | Current State: 65:[45, 26, 16, 5], Operations: []
Exploring Operation: 45-5=40, Resulting Numbers: [26, 16, 40]
Generated Node #2: [26, 16, 40] from Operation: 45-5=40
Current State: 65:[26, 16, 40], Operations: ['45-5=40']
Exploring Operation: 26*40=1040, Resulting Numbers: [16, 1040]
Generated Node #3: [16, 1040] from Operation: 26*40=1040
Current State: 65:[16, 1040], Operations: ['45-5=40', '26*40=1040']
Exploring Operation: 1040/16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
59,
79,
21,
35
] | 34 | [
"79-59=20",
"35-21=14",
"20+14=34"
] | Current State: 34:[59, 79, 21, 35], Operations: []
Exploring Operation: 79-59=20, Resulting Numbers: [21, 35, 20]
Generated Node #2: [21, 35, 20] from Operation: 79-59=20
Current State: 34:[21, 35, 20], Operations: ['79-59=20']
Exploring Operation: 35-21=14, Resulting Numbers: [20, 14]
Generated Node #3: [20, 14] from Operation: 35-21=14
Current State: 34:[20, 14], Operations: ['79-59=20', '35-21=14']
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
13,
56,
78,
26
] | 16 | [
"13+78=91",
"56*26=1456",
"1456/91=16"
] | Current State: 16:[13, 56, 78, 26], Operations: []
Exploring Operation: 13+78=91, Resulting Numbers: [56, 26, 91]
Generated Node #2: [56, 26, 91] from Operation: 13+78=91
Current State: 16:[56, 26, 91], Operations: ['13+78=91']
Exploring Operation: 56*26=1456, Resulting Numbers: [91, 1456]
Generated Node #3: [91, 1456] from Operation: 56*26=1456
Current State: 16:[91, 1456], Operations: ['13+78=91', '56*26=1456']
Exploring Operation: 1456/91=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
75,
38,
25,
52
] | 93 | [
"75/25=3",
"38+52=90",
"3+90=93"
] | Current State: 93:[75, 38, 25, 52], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [38, 52, 3]
Generated Node #2: [38, 52, 3] from Operation: 75/25=3
Current State: 93:[38, 52, 3], Operations: ['75/25=3']
Exploring Operation: 38+52=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 38+52=90
Current State: 93:[3, 90], Operations: ['75/25=3', '38+52=90']
Exploring Operation: 3+90=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
99,
14,
29
] | 77 | [
"14/2=7",
"99-29=70",
"7+70=77"
] | Current State: 77:[2, 99, 14, 29], Operations: []
Exploring Operation: 14/2=7, Resulting Numbers: [99, 29, 7]
Generated Node #2: [99, 29, 7] from Operation: 14/2=7
Current State: 77:[99, 29, 7], Operations: ['14/2=7']
Exploring Operation: 99-29=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 99-29=70
Current State: 77:[7, 70], Operations: ['14/2=7', '99-29=70']
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
44,
10,
26,
62
] | 55 | [
"44+26=70",
"70/10=7",
"62-7=55"
] | Current State: 55:[44, 10, 26, 62], Operations: []
Exploring Operation: 44+26=70, Resulting Numbers: [10, 62, 70]
Generated Node #2: [10, 62, 70] from Operation: 44+26=70
Current State: 55:[10, 62, 70], Operations: ['44+26=70']
Exploring Operation: 70/10=7, Resulting Numbers: [62, 7]
Generated Node #3: [62, 7] from Operation: 70/10=7
Current State: 55:[62, 7], Operations: ['44+26=70', '70/10=7']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
55,
4,
41,
7
] | 85 | [
"55-4=51",
"41-7=34",
"51+34=85"
] | Current State: 85:[55, 4, 41, 7], Operations: []
Exploring Operation: 55-4=51, Resulting Numbers: [41, 7, 51]
Generated Node #2: [41, 7, 51] from Operation: 55-4=51
Current State: 85:[41, 7, 51], Operations: ['55-4=51']
Exploring Operation: 41-7=34, Resulting Numbers: [51, 34]
Generated Node #3: [51, 34] from Operation: 41-7=34
Current State: 85:[51, 34], Operations: ['55-4=51', '41-7=34']
Exploring Operation: 51+34=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
23,
60,
23,
13
] | 73 | [
"23+60=83",
"23-13=10",
"83-10=73"
] | Current State: 73:[23, 60, 23, 13], Operations: []
Exploring Operation: 23+60=83, Resulting Numbers: [13, 83]
Generated Node #2: [13, 83] from Operation: 23+60=83
Current State: 73:[13, 83], Operations: ['23+60=83']
Exploring Operation: 23-13=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 23-13=10
Current State: 73:[83, 10], Operations: ['23+60=83', '23-13=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
96,
25,
6,
65
] | 50 | [
"96+25=121",
"6+65=71",
"121-71=50"
] | Current State: 50:[96, 25, 6, 65], Operations: []
Exploring Operation: 96+25=121, Resulting Numbers: [6, 65, 121]
Generated Node #2: [6, 65, 121] from Operation: 96+25=121
Current State: 50:[6, 65, 121], Operations: ['96+25=121']
Exploring Operation: 6+65=71, Resulting Numbers: [121, 71]
Generated Node #3: [121, 71] from Operation: 6+65=71
Current State: 50:[121, 71], Operations: ['96+25=121', '6+65=71']
Exploring Operation: 121-71=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
32,
52,
24,
2
] | 62 | [
"32+52=84",
"24-2=22",
"84-22=62"
] | Current State: 62:[32, 52, 24, 2], Operations: []
Exploring Operation: 32+52=84, Resulting Numbers: [24, 2, 84]
Generated Node #2: [24, 2, 84] from Operation: 32+52=84
Current State: 62:[24, 2, 84], Operations: ['32+52=84']
Exploring Operation: 24-2=22, Resulting Numbers: [84, 22]
Generated Node #3: [84, 22] from Operation: 24-2=22
Current State: 62:[84, 22], Operations: ['32+52=84', '24-2=22']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
68,
60,
91,
15
] | 45 | [
"68*60=4080",
"15+4080=4095",
"4095/91=45"
] | Current State: 45:[68, 60, 91, 15], Operations: []
Exploring Operation: 68*60=4080, Resulting Numbers: [91, 15, 4080]
Generated Node #2: [91, 15, 4080] from Operation: 68*60=4080
Current State: 45:[91, 15, 4080], Operations: ['68*60=4080']
Exploring Operation: 15+4080=4095, Resulting Numbers: [91, 4095]
Generated Node #3: [91, 4095] from Operation: 15+4080=4095
Current State: 45:[91, 4095], Operations: ['68*60=4080', '15+4080=4095']
Exploring Operation: 4095/91=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
76,
78,
58,
40
] | 36 | [
"78-76=2",
"58-40=18",
"2*18=36"
] | Current State: 36:[76, 78, 58, 40], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [58, 40, 2]
Generated Node #2: [58, 40, 2] from Operation: 78-76=2
Current State: 36:[58, 40, 2], Operations: ['78-76=2']
Exploring Operation: 58-40=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 58-40=18
Current State: 36:[2, 18], Operations: ['78-76=2', '58-40=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
5,
11,
35,
61
] | 81 | [
"5*11=55",
"61-35=26",
"55+26=81"
] | Current State: 81:[5, 11, 35, 61], Operations: []
Exploring Operation: 5*11=55, Resulting Numbers: [35, 61, 55]
Generated Node #2: [35, 61, 55] from Operation: 5*11=55
Current State: 81:[35, 61, 55], Operations: ['5*11=55']
Exploring Operation: 61-35=26, Resulting Numbers: [55, 26]
Generated Node #3: [55, 26] from Operation: 61-35=26
Current State: 81:[55, 26], Operations: ['5*11=55', '61-35=26']
Exploring Operation: 55+26=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
21,
75,
69,
66
] | 82 | [
"69-66=3",
"21/3=7",
"75+7=82"
] | Current State: 82:[21, 75, 69, 66], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [21, 75, 3]
Generated Node #2: [21, 75, 3] from Operation: 69-66=3
Current State: 82:[21, 75, 3], Operations: ['69-66=3']
Exploring Operation: 21/3=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 21/3=7
Current State: 82:[75, 7], Operations: ['69-66=3', '21/3=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
99,
75,
65,
51
] | 67 | [
"99+51=150",
"150/75=2",
"65+2=67"
] | Current State: 67:[99, 75, 65, 51], Operations: []
Exploring Operation: 99+51=150, Resulting Numbers: [75, 65, 150]
Generated Node #2: [75, 65, 150] from Operation: 99+51=150
Current State: 67:[75, 65, 150], Operations: ['99+51=150']
Exploring Operation: 150/75=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 150/75=2
Current State: 67:[65, 2], Operations: ['99+51=150', '150/75=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
73,
71,
50,
12
] | 56 | [
"73-71=2",
"12/2=6",
"50+6=56"
] | Current State: 56:[73, 71, 50, 12], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [50, 12, 2]
Generated Node #2: [50, 12, 2] from Operation: 73-71=2
Current State: 56:[50, 12, 2], Operations: ['73-71=2']
Exploring Operation: 12/2=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 12/2=6
Current State: 56:[50, 6], Operations: ['73-71=2', '12/2=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
64,
8,
3
] | 35 | [
"64-60=4",
"8*4=32",
"3+32=35"
] | Current State: 35:[60, 64, 8, 3], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [8, 3, 4]
Generated Node #2: [8, 3, 4] from Operation: 64-60=4
Current State: 35:[8, 3, 4], Operations: ['64-60=4']
Exploring Operation: 8*4=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 8*4=32
Current State: 35:[3, 32], Operations: ['64-60=4', '8*4=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
31,
46,
79,
35
] | 99 | [
"46-31=15",
"79+35=114",
"114-15=99"
] | Current State: 99:[31, 46, 79, 35], Operations: []
Exploring Operation: 46-31=15, Resulting Numbers: [79, 35, 15]
Generated Node #2: [79, 35, 15] from Operation: 46-31=15
Current State: 99:[79, 35, 15], Operations: ['46-31=15']
Exploring Operation: 79+35=114, Resulting Numbers: [15, 114]
Generated Node #3: [15, 114] from Operation: 79+35=114
Current State: 99:[15, 114], Operations: ['46-31=15', '79+35=114']
Exploring Operation: 114-15=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
42,
1,
90,
50
] | 81 | [
"42-1=41",
"90-50=40",
"41+40=81"
] | Current State: 81:[42, 1, 90, 50], Operations: []
Exploring Operation: 42-1=41, Resulting Numbers: [90, 50, 41]
Generated Node #2: [90, 50, 41] from Operation: 42-1=41
Current State: 81:[90, 50, 41], Operations: ['42-1=41']
Exploring Operation: 90-50=40, Resulting Numbers: [41, 40]
Generated Node #3: [41, 40] from Operation: 90-50=40
Current State: 81:[41, 40], Operations: ['42-1=41', '90-50=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
63,
35,
6
] | 41 | [
"64-63=1",
"35+6=41",
"1*41=41"
] | Current State: 41:[64, 63, 35, 6], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [35, 6, 1]
Generated Node #2: [35, 6, 1] from Operation: 64-63=1
Current State: 41:[35, 6, 1], Operations: ['64-63=1']
Exploring Operation: 35+6=41, Resulting Numbers: [1, 41]
Generated Node #3: [1, 41] from Operation: 35+6=41
Current State: 41:[1, 41], Operations: ['64-63=1', '35+6=41']
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
82,
42,
16,
25
] | 81 | [
"82-42=40",
"16+25=41",
"40+41=81"
] | Current State: 81:[82, 42, 16, 25], Operations: []
Exploring Operation: 82-42=40, Resulting Numbers: [16, 25, 40]
Generated Node #2: [16, 25, 40] from Operation: 82-42=40
Current State: 81:[16, 25, 40], Operations: ['82-42=40']
Exploring Operation: 16+25=41, Resulting Numbers: [40, 41]
Generated Node #3: [40, 41] from Operation: 16+25=41
Current State: 81:[40, 41], Operations: ['82-42=40', '16+25=41']
Exploring Operation: 40+41=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
83,
21,
30,
36
] | 38 | [
"83+21=104",
"30+36=66",
"104-66=38"
] | Current State: 38:[83, 21, 30, 36], Operations: []
Exploring Operation: 83+21=104, Resulting Numbers: [30, 36, 104]
Generated Node #2: [30, 36, 104] from Operation: 83+21=104
Current State: 38:[30, 36, 104], Operations: ['83+21=104']
Exploring Operation: 30+36=66, Resulting Numbers: [104, 66]
Generated Node #3: [104, 66] from Operation: 30+36=66
Current State: 38:[104, 66], Operations: ['83+21=104', '30+36=66']
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
30,
13,
65,
39
] | 75 | [
"30*13=390",
"390/39=10",
"65+10=75"
] | Current State: 75:[30, 13, 65, 39], Operations: []
Exploring Operation: 30*13=390, Resulting Numbers: [65, 39, 390]
Generated Node #2: [65, 39, 390] from Operation: 30*13=390
Current State: 75:[65, 39, 390], Operations: ['30*13=390']
Exploring Operation: 390/39=10, Resulting Numbers: [65, 10]
Generated Node #3: [65, 10] from Operation: 390/39=10
Current State: 75:[65, 10], Operations: ['30*13=390', '390/39=10']
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
3,
25,
41,
9
] | 57 | [
"41-25=16",
"3*16=48",
"9+48=57"
] | Current State: 57:[3, 25, 41, 9], Operations: []
Exploring Operation: 41-25=16, Resulting Numbers: [3, 9, 16]
Generated Node #2: [3, 9, 16] from Operation: 41-25=16
Current State: 57:[3, 9, 16], Operations: ['41-25=16']
Exploring Operation: 3*16=48, Resulting Numbers: [9, 48]
Generated Node #3: [9, 48] from Operation: 3*16=48
Current State: 57:[9, 48], Operations: ['41-25=16', '3*16=48']
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
18,
60,
83,
75
] | 86 | [
"18+60=78",
"83-75=8",
"78+8=86"
] | Current State: 86:[18, 60, 83, 75], Operations: []
Exploring Operation: 18+60=78, Resulting Numbers: [83, 75, 78]
Generated Node #2: [83, 75, 78] from Operation: 18+60=78
Current State: 86:[83, 75, 78], Operations: ['18+60=78']
Exploring Operation: 83-75=8, Resulting Numbers: [78, 8]
Generated Node #3: [78, 8] from Operation: 83-75=8
Current State: 86:[78, 8], Operations: ['18+60=78', '83-75=8']
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
41,
3,
17,
36
] | 82 | [
"41-36=5",
"17*5=85",
"85-3=82"
] | Current State: 82:[41, 3, 17, 36], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [3, 17, 5]
Generated Node #2: [3, 17, 5] from Operation: 41-36=5
Current State: 82:[3, 17, 5], Operations: ['41-36=5']
Exploring Operation: 17*5=85, Resulting Numbers: [3, 85]
Generated Node #3: [3, 85] from Operation: 17*5=85
Current State: 82:[3, 85], Operations: ['41-36=5', '17*5=85']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
2,
3,
74,
19
] | 92 | [
"3-2=1",
"74+19=93",
"93-1=92"
] | Current State: 92:[2, 3, 74, 19], Operations: []
Exploring Operation: 3-2=1, Resulting Numbers: [74, 19, 1]
Generated Node #2: [74, 19, 1] from Operation: 3-2=1
Current State: 92:[74, 19, 1], Operations: ['3-2=1']
Exploring Operation: 74+19=93, Resulting Numbers: [1, 93]
Generated Node #3: [1, 93] from Operation: 74+19=93
Current State: 92:[1, 93], Operations: ['3-2=1', '74+19=93']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
8,
88,
40
] | 62 | [
"8/2=4",
"88/4=22",
"40+22=62"
] | Current State: 62:[2, 8, 88, 40], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [88, 40, 4]
Generated Node #2: [88, 40, 4] from Operation: 8/2=4
Current State: 62:[88, 40, 4], Operations: ['8/2=4']
Exploring Operation: 88/4=22, Resulting Numbers: [40, 22]
Generated Node #3: [40, 22] from Operation: 88/4=22
Current State: 62:[40, 22], Operations: ['8/2=4', '88/4=22']
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
72,
4,
79,
15
] | 76 | [
"72/4=18",
"79+15=94",
"94-18=76"
] | Current State: 76:[72, 4, 79, 15], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [79, 15, 18]
Generated Node #2: [79, 15, 18] from Operation: 72/4=18
Current State: 76:[79, 15, 18], Operations: ['72/4=18']
Exploring Operation: 79+15=94, Resulting Numbers: [18, 94]
Generated Node #3: [18, 94] from Operation: 79+15=94
Current State: 76:[18, 94], Operations: ['72/4=18', '79+15=94']
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
5,
33,
69,
57
] | 98 | [
"33-5=28",
"69+57=126",
"126-28=98"
] | Current State: 98:[5, 33, 69, 57], Operations: []
Exploring Operation: 33-5=28, Resulting Numbers: [69, 57, 28]
Generated Node #2: [69, 57, 28] from Operation: 33-5=28
Current State: 98:[69, 57, 28], Operations: ['33-5=28']
Exploring Operation: 69+57=126, Resulting Numbers: [28, 126]
Generated Node #3: [28, 126] from Operation: 69+57=126
Current State: 98:[28, 126], Operations: ['33-5=28', '69+57=126']
Exploring Operation: 126-28=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
27,
11,
5,
74
] | 31 | [
"27+11=38",
"74-5=69",
"69-38=31"
] | Current State: 31:[27, 11, 5, 74], Operations: []
Exploring Operation: 27+11=38, Resulting Numbers: [5, 74, 38]
Generated Node #2: [5, 74, 38] from Operation: 27+11=38
Current State: 31:[5, 74, 38], Operations: ['27+11=38']
Exploring Operation: 74-5=69, Resulting Numbers: [38, 69]
Generated Node #3: [38, 69] from Operation: 74-5=69
Current State: 31:[38, 69], Operations: ['27+11=38', '74-5=69']
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
19,
76,
88,
84
] | 19 | [
"19*88=1672",
"1672-76=1596",
"1596/84=19"
] | Current State: 19:[19, 76, 88, 84], Operations: []
Exploring Operation: 19*88=1672, Resulting Numbers: [76, 84, 1672]
Generated Node #2: [76, 84, 1672] from Operation: 19*88=1672
Current State: 19:[76, 84, 1672], Operations: ['19*88=1672']
Exploring Operation: 1672-76=1596, Resulting Numbers: [84, 1596]
Generated Node #3: [84, 1596] from Operation: 1672-76=1596
Current State: 19:[84, 1596], Operations: ['19*88=1672', '1672-76=1596']
Exploring Operation: 1596/84=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
83,
30,
99,
26
] | 40 | [
"83+30=113",
"99-26=73",
"113-73=40"
] | Current State: 40:[83, 30, 99, 26], Operations: []
Exploring Operation: 83+30=113, Resulting Numbers: [99, 26, 113]
Generated Node #2: [99, 26, 113] from Operation: 83+30=113
Current State: 40:[99, 26, 113], Operations: ['83+30=113']
Exploring Operation: 99-26=73, Resulting Numbers: [113, 73]
Generated Node #3: [113, 73] from Operation: 99-26=73
Current State: 40:[113, 73], Operations: ['83+30=113', '99-26=73']
Exploring Operation: 113-73=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
4,
20,
46,
3
] | 78 | [
"4*3=12",
"20+46=66",
"12+66=78"
] | Current State: 78:[4, 20, 46, 3], Operations: []
Exploring Operation: 4*3=12, Resulting Numbers: [20, 46, 12]
Generated Node #2: [20, 46, 12] from Operation: 4*3=12
Current State: 78:[20, 46, 12], Operations: ['4*3=12']
Exploring Operation: 20+46=66, Resulting Numbers: [12, 66]
Generated Node #3: [12, 66] from Operation: 20+46=66
Current State: 78:[12, 66], Operations: ['4*3=12', '20+46=66']
Exploring Operation: 12+66=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
64,
59,
72,
3
] | 29 | [
"64-59=5",
"72/3=24",
"5+24=29"
] | Current State: 29:[64, 59, 72, 3], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [72, 3, 5]
Generated Node #2: [72, 3, 5] from Operation: 64-59=5
Current State: 29:[72, 3, 5], Operations: ['64-59=5']
Exploring Operation: 72/3=24, Resulting Numbers: [5, 24]
Generated Node #3: [5, 24] from Operation: 72/3=24
Current State: 29:[5, 24], Operations: ['64-59=5', '72/3=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
42,
15,
20,
30
] | 24 | [
"42-20=22",
"30/15=2",
"22+2=24"
] | Current State: 24:[42, 15, 20, 30], Operations: []
Exploring Operation: 42-20=22, Resulting Numbers: [15, 30, 22]
Generated Node #2: [15, 30, 22] from Operation: 42-20=22
Current State: 24:[15, 30, 22], Operations: ['42-20=22']
Exploring Operation: 30/15=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 30/15=2
Current State: 24:[22, 2], Operations: ['42-20=22', '30/15=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
84,
36,
58
] | 88 | [
"70*36=2520",
"2520/84=30",
"58+30=88"
] | Current State: 88:[70, 84, 36, 58], Operations: []
Exploring Operation: 70*36=2520, Resulting Numbers: [84, 58, 2520]
Generated Node #2: [84, 58, 2520] from Operation: 70*36=2520
Current State: 88:[84, 58, 2520], Operations: ['70*36=2520']
Exploring Operation: 2520/84=30, Resulting Numbers: [58, 30]
Generated Node #3: [58, 30] from Operation: 2520/84=30
Current State: 88:[58, 30], Operations: ['70*36=2520', '2520/84=30']
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
5,
39,
19,
34
] | 19 | [
"39-5=34",
"19+34=53",
"53-34=19"
] | Current State: 19:[5, 39, 19, 34], Operations: []
Exploring Operation: 39-5=34, Resulting Numbers: [19, 34, 34]
Generated Node #2: [19, 34, 34] from Operation: 39-5=34
Current State: 19:[19, 34, 34], Operations: ['39-5=34']
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,19 equal: Goal Reached
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
77,
66,
19,
35
] | 11 | [
"66*35=2310",
"2310/77=30",
"30-19=11"
] | Current State: 11:[77, 66, 19, 35], Operations: []
Exploring Operation: 66*35=2310, Resulting Numbers: [77, 19, 2310]
Generated Node #2: [77, 19, 2310] from Operation: 66*35=2310
Current State: 11:[77, 19, 2310], Operations: ['66*35=2310']
Exploring Operation: 2310/77=30, Resulting Numbers: [19, 30]
Generated Node #3: [19, 30] from Operation: 2310/77=30
Current State: 11:[19, 30], Operations: ['66*35=2310', '2310/77=30']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
35,
41,
42,
22
] | 70 | [
"41-35=6",
"42+22=64",
"6+64=70"
] | Current State: 70:[35, 41, 42, 22], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [42, 22, 6]
Generated Node #2: [42, 22, 6] from Operation: 41-35=6
Current State: 70:[42, 22, 6], Operations: ['41-35=6']
Exploring Operation: 42+22=64, Resulting Numbers: [6, 64]
Generated Node #3: [6, 64] from Operation: 42+22=64
Current State: 70:[6, 64], Operations: ['41-35=6', '42+22=64']
Exploring Operation: 6+64=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
98,
76,
70,
42
] | 46 | [
"70*42=2940",
"2940/98=30",
"76-30=46"
] | Current State: 46:[98, 76, 70, 42], Operations: []
Exploring Operation: 70*42=2940, Resulting Numbers: [98, 76, 2940]
Generated Node #2: [98, 76, 2940] from Operation: 70*42=2940
Current State: 46:[98, 76, 2940], Operations: ['70*42=2940']
Exploring Operation: 2940/98=30, Resulting Numbers: [76, 30]
Generated Node #3: [76, 30] from Operation: 2940/98=30
Current State: 46:[76, 30], Operations: ['70*42=2940', '2940/98=30']
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
95,
37,
37,
70
] | 49 | [
"95-37=58",
"37+70=107",
"107-58=49"
] | Current State: 49:[95, 37, 37, 70], Operations: []
Exploring Operation: 95-37=58, Resulting Numbers: [70, 58]
Generated Node #2: [70, 58] from Operation: 95-37=58
Current State: 49:[70, 58], Operations: ['95-37=58']
Exploring Operation: 37+70=107, Resulting Numbers: [58, 107]
Generated Node #3: [58, 107] from Operation: 37+70=107
Current State: 49:[58, 107], Operations: ['95-37=58', '37+70=107']
Exploring Operation: 107-58=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
11,
92,
17,
4
] | 94 | [
"92-11=81",
"17-4=13",
"81+13=94"
] | Current State: 94:[11, 92, 17, 4], Operations: []
Exploring Operation: 92-11=81, Resulting Numbers: [17, 4, 81]
Generated Node #2: [17, 4, 81] from Operation: 92-11=81
Current State: 94:[17, 4, 81], Operations: ['92-11=81']
Exploring Operation: 17-4=13, Resulting Numbers: [81, 13]
Generated Node #3: [81, 13] from Operation: 17-4=13
Current State: 94:[81, 13], Operations: ['92-11=81', '17-4=13']
Exploring Operation: 81+13=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
19,
64,
20,
77
] | 14 | [
"19+64=83",
"20+77=97",
"97-83=14"
] | Current State: 14:[19, 64, 20, 77], Operations: []
Exploring Operation: 19+64=83, Resulting Numbers: [20, 77, 83]
Generated Node #2: [20, 77, 83] from Operation: 19+64=83
Current State: 14:[20, 77, 83], Operations: ['19+64=83']
Exploring Operation: 20+77=97, Resulting Numbers: [83, 97]
Generated Node #3: [83, 97] from Operation: 20+77=97
Current State: 14:[83, 97], Operations: ['19+64=83', '20+77=97']
Exploring Operation: 97-83=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
37,
90,
32,
47
] | 38 | [
"90-37=53",
"47-32=15",
"53-15=38"
] | Current State: 38:[37, 90, 32, 47], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [32, 47, 53]
Generated Node #2: [32, 47, 53] from Operation: 90-37=53
Current State: 38:[32, 47, 53], Operations: ['90-37=53']
Exploring Operation: 47-32=15, Resulting Numbers: [53, 15]
Generated Node #3: [53, 15] from Operation: 47-32=15
Current State: 38:[53, 15], Operations: ['90-37=53', '47-32=15']
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
99,
65,
67,
9
] | 13 | [
"99/9=11",
"67-65=2",
"11+2=13"
] | Current State: 13:[99, 65, 67, 9], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [65, 67, 11]
Generated Node #2: [65, 67, 11] from Operation: 99/9=11
Current State: 13:[65, 67, 11], Operations: ['99/9=11']
Exploring Operation: 67-65=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 67-65=2
Current State: 13:[11, 2], Operations: ['99/9=11', '67-65=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
42,
32,
66
] | 61 | [
"42-15=27",
"66-32=34",
"27+34=61"
] | Current State: 61:[15, 42, 32, 66], Operations: []
Exploring Operation: 42-15=27, Resulting Numbers: [32, 66, 27]
Generated Node #2: [32, 66, 27] from Operation: 42-15=27
Current State: 61:[32, 66, 27], Operations: ['42-15=27']
Exploring Operation: 66-32=34, Resulting Numbers: [27, 34]
Generated Node #3: [27, 34] from Operation: 66-32=34
Current State: 61:[27, 34], Operations: ['42-15=27', '66-32=34']
Exploring Operation: 27+34=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
80,
32,
64,
36
] | 92 | [
"80*36=2880",
"64+2880=2944",
"2944/32=92"
] | Current State: 92:[80, 32, 64, 36], Operations: []
Exploring Operation: 80*36=2880, Resulting Numbers: [32, 64, 2880]
Generated Node #2: [32, 64, 2880] from Operation: 80*36=2880
Current State: 92:[32, 64, 2880], Operations: ['80*36=2880']
Exploring Operation: 64+2880=2944, Resulting Numbers: [32, 2944]
Generated Node #3: [32, 2944] from Operation: 64+2880=2944
Current State: 92:[32, 2944], Operations: ['80*36=2880', '64+2880=2944']
Exploring Operation: 2944/32=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
9,
77,
44
] | 25 | [
"17-9=8",
"77-44=33",
"33-8=25"
] | Current State: 25:[17, 9, 77, 44], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [77, 44, 8]
Generated Node #2: [77, 44, 8] from Operation: 17-9=8
Current State: 25:[77, 44, 8], Operations: ['17-9=8']
Exploring Operation: 77-44=33, Resulting Numbers: [8, 33]
Generated Node #3: [8, 33] from Operation: 77-44=33
Current State: 25:[8, 33], Operations: ['17-9=8', '77-44=33']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
28,
28,
20,
15
] | 42 | [
"28+28=56",
"15*56=840",
"840/20=42"
] | Current State: 42:[28, 28, 20, 15], Operations: []
Exploring Operation: 28+28=56, Resulting Numbers: [20, 15, 56]
Generated Node #2: [20, 15, 56] from Operation: 28+28=56
Current State: 42:[20, 15, 56], Operations: ['28+28=56']
Exploring Operation: 15*56=840, Resulting Numbers: [20, 840]
Generated Node #3: [20, 840] from Operation: 15*56=840
Current State: 42:[20, 840], Operations: ['28+28=56', '15*56=840']
Exploring Operation: 840/20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
63,
54,
75,
69
] | 54 | [
"63-54=9",
"75-69=6",
"9*6=54"
] | Current State: 54:[63, 54, 75, 69], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [75, 69, 9]
Generated Node #2: [75, 69, 9] from Operation: 63-54=9
Current State: 54:[75, 69, 9], Operations: ['63-54=9']
Exploring Operation: 75-69=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 75-69=6
Current State: 54:[9, 6], Operations: ['63-54=9', '75-69=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
90,
64,
75,
3
] | 46 | [
"90-64=26",
"75-3=72",
"72-26=46"
] | Current State: 46:[90, 64, 75, 3], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [75, 3, 26]
Generated Node #2: [75, 3, 26] from Operation: 90-64=26
Current State: 46:[75, 3, 26], Operations: ['90-64=26']
Exploring Operation: 75-3=72, Resulting Numbers: [26, 72]
Generated Node #3: [26, 72] from Operation: 75-3=72
Current State: 46:[26, 72], Operations: ['90-64=26', '75-3=72']
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
81,
20,
50,
51
] | 61 | [
"81-20=61",
"51-50=1",
"61*1=61"
] | Current State: 61:[81, 20, 50, 51], Operations: []
Exploring Operation: 81-20=61, Resulting Numbers: [50, 51, 61]
Generated Node #2: [50, 51, 61] from Operation: 81-20=61
Current State: 61:[50, 51, 61], Operations: ['81-20=61']
Exploring Operation: 51-50=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 51-50=1
Current State: 61:[61, 1], Operations: ['81-20=61', '51-50=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
46,
7,
99,
63
] | 89 | [
"46+7=53",
"99-63=36",
"53+36=89"
] | Current State: 89:[46, 7, 99, 63], Operations: []
Exploring Operation: 46+7=53, Resulting Numbers: [99, 63, 53]
Generated Node #2: [99, 63, 53] from Operation: 46+7=53
Current State: 89:[99, 63, 53], Operations: ['46+7=53']
Exploring Operation: 99-63=36, Resulting Numbers: [53, 36]
Generated Node #3: [53, 36] from Operation: 99-63=36
Current State: 89:[53, 36], Operations: ['46+7=53', '99-63=36']
Exploring Operation: 53+36=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
69,
84,
95,
74
] | 13 | [
"69+74=143",
"95-84=11",
"143/11=13"
] | Current State: 13:[69, 84, 95, 74], Operations: []
Exploring Operation: 69+74=143, Resulting Numbers: [84, 95, 143]
Generated Node #2: [84, 95, 143] from Operation: 69+74=143
Current State: 13:[84, 95, 143], Operations: ['69+74=143']
Exploring Operation: 95-84=11, Resulting Numbers: [143, 11]
Generated Node #3: [143, 11] from Operation: 95-84=11
Current State: 13:[143, 11], Operations: ['69+74=143', '95-84=11']
Exploring Operation: 143/11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
5,
5,
35,
2
] | 35 | [
"5-5=0",
"2*0=0",
"35+0=35"
] | Current State: 35:[5, 5, 35, 2], Operations: []
Exploring Operation: 5-5=0, Resulting Numbers: [35, 2, 0]
Generated Node #2: [35, 2, 0] from Operation: 5-5=0
Current State: 35:[35, 2, 0], Operations: ['5-5=0']
Exploring Operation: 2*0=0, Resulting Numbers: [35, 0]
Generated Node #3: [35, 0] from Operation: 2*0=0
Current State: 35:[35, 0], Operations: ['5-5=0', '2*0=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
80,
68,
64,
11
] | 65 | [
"80-68=12",
"64-11=53",
"12+53=65"
] | Current State: 65:[80, 68, 64, 11], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [64, 11, 12]
Generated Node #2: [64, 11, 12] from Operation: 80-68=12
Current State: 65:[64, 11, 12], Operations: ['80-68=12']
Exploring Operation: 64-11=53, Resulting Numbers: [12, 53]
Generated Node #3: [12, 53] from Operation: 64-11=53
Current State: 65:[12, 53], Operations: ['80-68=12', '64-11=53']
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
42,
63,
52,
33
] | 86 | [
"42+63=105",
"52-33=19",
"105-19=86"
] | Current State: 86:[42, 63, 52, 33], Operations: []
Exploring Operation: 42+63=105, Resulting Numbers: [52, 33, 105]
Generated Node #2: [52, 33, 105] from Operation: 42+63=105
Current State: 86:[52, 33, 105], Operations: ['42+63=105']
Exploring Operation: 52-33=19, Resulting Numbers: [105, 19]
Generated Node #3: [105, 19] from Operation: 52-33=19
Current State: 86:[105, 19], Operations: ['42+63=105', '52-33=19']
Exploring Operation: 105-19=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
6,
52,
52,
4
] | 78 | [
"6-4=2",
"52/2=26",
"52+26=78"
] | Current State: 78:[6, 52, 52, 4], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [52, 52, 2]
Generated Node #2: [52, 52, 2] from Operation: 6-4=2
Current State: 78:[52, 52, 2], Operations: ['6-4=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,78 equal: Goal Reached
Exploring Operation: 52+26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
92,
36,
99,
23
] | 45 | [
"92*36=3312",
"3312/23=144",
"144-99=45"
] | Current State: 45:[92, 36, 99, 23], Operations: []
Exploring Operation: 92*36=3312, Resulting Numbers: [99, 23, 3312]
Generated Node #2: [99, 23, 3312] from Operation: 92*36=3312
Current State: 45:[99, 23, 3312], Operations: ['92*36=3312']
Exploring Operation: 3312/23=144, Resulting Numbers: [99, 144]
Generated Node #3: [99, 144] from Operation: 3312/23=144
Current State: 45:[99, 144], Operations: ['92*36=3312', '3312/23=144']
Exploring Operation: 144-99=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
24,
35,
19,
23
] | 20 | [
"24*35=840",
"19+23=42",
"840/42=20"
] | Current State: 20:[24, 35, 19, 23], Operations: []
Exploring Operation: 24*35=840, Resulting Numbers: [19, 23, 840]
Generated Node #2: [19, 23, 840] from Operation: 24*35=840
Current State: 20:[19, 23, 840], Operations: ['24*35=840']
Exploring Operation: 19+23=42, Resulting Numbers: [840, 42]
Generated Node #3: [840, 42] from Operation: 19+23=42
Current State: 20:[840, 42], Operations: ['24*35=840', '19+23=42']
Exploring Operation: 840/42=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
89,
24,
99,
27
] | 27 | [
"89*27=2403",
"24*99=2376",
"2403-2376=27"
] | Current State: 27:[89, 24, 99, 27], Operations: []
Exploring Operation: 89*27=2403, Resulting Numbers: [24, 99, 2403]
Generated Node #2: [24, 99, 2403] from Operation: 89*27=2403
Current State: 27:[24, 99, 2403], Operations: ['89*27=2403']
Exploring Operation: 24*99=2376, Resulting Numbers: [2403, 2376]
Generated Node #3: [2403, 2376] from Operation: 24*99=2376
Current State: 27:[2403, 2376], Operations: ['89*27=2403', '24*99=2376']
Exploring Operation: 2403-2376=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
30,
59,
38,
10
] | 19 | [
"59-30=29",
"38+10=48",
"48-29=19"
] | Current State: 19:[30, 59, 38, 10], Operations: []
Exploring Operation: 59-30=29, Resulting Numbers: [38, 10, 29]
Generated Node #2: [38, 10, 29] from Operation: 59-30=29
Current State: 19:[38, 10, 29], Operations: ['59-30=29']
Exploring Operation: 38+10=48, Resulting Numbers: [29, 48]
Generated Node #3: [29, 48] from Operation: 38+10=48
Current State: 19:[29, 48], Operations: ['59-30=29', '38+10=48']
Exploring Operation: 48-29=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
44,
78,
71,
63
] | 53 | [
"78-71=7",
"63/7=9",
"44+9=53"
] | Current State: 53:[44, 78, 71, 63], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [44, 63, 7]
Generated Node #2: [44, 63, 7] from Operation: 78-71=7
Current State: 53:[44, 63, 7], Operations: ['78-71=7']
Exploring Operation: 63/7=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 63/7=9
Current State: 53:[44, 9], Operations: ['78-71=7', '63/7=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
75,
22,
19,
9
] | 43 | [
"75-22=53",
"19-9=10",
"53-10=43"
] | Current State: 43:[75, 22, 19, 9], Operations: []
Exploring Operation: 75-22=53, Resulting Numbers: [19, 9, 53]
Generated Node #2: [19, 9, 53] from Operation: 75-22=53
Current State: 43:[19, 9, 53], Operations: ['75-22=53']
Exploring Operation: 19-9=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 19-9=10
Current State: 43:[53, 10], Operations: ['75-22=53', '19-9=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
16,
32,
60,
29
] | 87 | [
"32/16=2",
"60+29=89",
"89-2=87"
] | Current State: 87:[16, 32, 60, 29], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [60, 29, 2]
Generated Node #2: [60, 29, 2] from Operation: 32/16=2
Current State: 87:[60, 29, 2], Operations: ['32/16=2']
Exploring Operation: 60+29=89, Resulting Numbers: [2, 89]
Generated Node #3: [2, 89] from Operation: 60+29=89
Current State: 87:[2, 89], Operations: ['32/16=2', '60+29=89']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
1,
10,
43,
39
] | 44 | [
"1+10=11",
"43-39=4",
"11*4=44"
] | Current State: 44:[1, 10, 43, 39], Operations: []
Exploring Operation: 1+10=11, Resulting Numbers: [43, 39, 11]
Generated Node #2: [43, 39, 11] from Operation: 1+10=11
Current State: 44:[43, 39, 11], Operations: ['1+10=11']
Exploring Operation: 43-39=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 43-39=4
Current State: 44:[11, 4], Operations: ['1+10=11', '43-39=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
11,
19,
73,
59
] | 31 | [
"73+59=132",
"132/11=12",
"19+12=31"
] | Current State: 31:[11, 19, 73, 59], Operations: []
Exploring Operation: 73+59=132, Resulting Numbers: [11, 19, 132]
Generated Node #2: [11, 19, 132] from Operation: 73+59=132
Current State: 31:[11, 19, 132], Operations: ['73+59=132']
Exploring Operation: 132/11=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 132/11=12
Current State: 31:[19, 12], Operations: ['73+59=132', '132/11=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
12,
16,
6,
1
] | 32 | [
"12*16=192",
"6*1=6",
"192/6=32"
] | Current State: 32:[12, 16, 6, 1], Operations: []
Exploring Operation: 12*16=192, Resulting Numbers: [6, 1, 192]
Generated Node #2: [6, 1, 192] from Operation: 12*16=192
Current State: 32:[6, 1, 192], Operations: ['12*16=192']
Exploring Operation: 6*1=6, Resulting Numbers: [192, 6]
Generated Node #3: [192, 6] from Operation: 6*1=6
Current State: 32:[192, 6], Operations: ['12*16=192', '6*1=6']
Exploring Operation: 192/6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
53,
58,
76,
23
] | 57 | [
"76-53=23",
"23/23=1",
"58-1=57"
] | Current State: 57:[53, 58, 76, 23], Operations: []
Exploring Operation: 76-53=23, Resulting Numbers: [58, 23, 23]
Generated Node #2: [58, 23, 23] from Operation: 76-53=23
Current State: 57:[58, 23, 23], Operations: ['76-53=23']
Exploring Operation: 23/23=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 23/23=1
Current State: 57:[58, 1], Operations: ['76-53=23', '23/23=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
66,
15,
22,
72
] | 43 | [
"66-15=51",
"22+72=94",
"94-51=43"
] | Current State: 43:[66, 15, 22, 72], Operations: []
Exploring Operation: 66-15=51, Resulting Numbers: [22, 72, 51]
Generated Node #2: [22, 72, 51] from Operation: 66-15=51
Current State: 43:[22, 72, 51], Operations: ['66-15=51']
Exploring Operation: 22+72=94, Resulting Numbers: [51, 94]
Generated Node #3: [51, 94] from Operation: 22+72=94
Current State: 43:[51, 94], Operations: ['66-15=51', '22+72=94']
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
83,
59,
39,
13
] | 21 | [
"83-59=24",
"39/13=3",
"24-3=21"
] | Current State: 21:[83, 59, 39, 13], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [39, 13, 24]
Generated Node #2: [39, 13, 24] from Operation: 83-59=24
Current State: 21:[39, 13, 24], Operations: ['83-59=24']
Exploring Operation: 39/13=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 39/13=3
Current State: 21:[24, 3], Operations: ['83-59=24', '39/13=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
26,
73,
9,
61
] | 82 | [
"73-61=12",
"9*12=108",
"108-26=82"
] | Current State: 82:[26, 73, 9, 61], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [26, 9, 12]
Generated Node #2: [26, 9, 12] from Operation: 73-61=12
Current State: 82:[26, 9, 12], Operations: ['73-61=12']
Exploring Operation: 9*12=108, Resulting Numbers: [26, 108]
Generated Node #3: [26, 108] from Operation: 9*12=108
Current State: 82:[26, 108], Operations: ['73-61=12', '9*12=108']
Exploring Operation: 108-26=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
68,
91,
63,
43
] | 53 | [
"68+91=159",
"63+43=106",
"159-106=53"
] | Current State: 53:[68, 91, 63, 43], Operations: []
Exploring Operation: 68+91=159, Resulting Numbers: [63, 43, 159]
Generated Node #2: [63, 43, 159] from Operation: 68+91=159
Current State: 53:[63, 43, 159], Operations: ['68+91=159']
Exploring Operation: 63+43=106, Resulting Numbers: [159, 106]
Generated Node #3: [159, 106] from Operation: 63+43=106
Current State: 53:[159, 106], Operations: ['68+91=159', '63+43=106']
Exploring Operation: 159-106=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
47,
8,
11,
42
] | 95 | [
"47-42=5",
"8+11=19",
"5*19=95"
] | Current State: 95:[47, 8, 11, 42], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [8, 11, 5]
Generated Node #2: [8, 11, 5] from Operation: 47-42=5
Current State: 95:[8, 11, 5], Operations: ['47-42=5']
Exploring Operation: 8+11=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 8+11=19
Current State: 95:[5, 19], Operations: ['47-42=5', '8+11=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
16,
94,
14,
62
] | 78 | [
"16-14=2",
"94+62=156",
"156/2=78"
] | Current State: 78:[16, 94, 14, 62], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [94, 62, 2]
Generated Node #2: [94, 62, 2] from Operation: 16-14=2
Current State: 78:[94, 62, 2], Operations: ['16-14=2']
Exploring Operation: 94+62=156, Resulting Numbers: [2, 156]
Generated Node #3: [2, 156] from Operation: 94+62=156
Current State: 78:[2, 156], Operations: ['16-14=2', '94+62=156']
Exploring Operation: 156/2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
47,
10,
18,
25
] | 100 | [
"47+10=57",
"18+25=43",
"57+43=100"
] | Current State: 100:[47, 10, 18, 25], Operations: []
Exploring Operation: 47+10=57, Resulting Numbers: [18, 25, 57]
Generated Node #2: [18, 25, 57] from Operation: 47+10=57
Current State: 100:[18, 25, 57], Operations: ['47+10=57']
Exploring Operation: 18+25=43, Resulting Numbers: [57, 43]
Generated Node #3: [57, 43] from Operation: 18+25=43
Current State: 100:[57, 43], Operations: ['47+10=57', '18+25=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
75,
56,
9,
69
] | 72 | [
"75+69=144",
"144/9=16",
"56+16=72"
] | Current State: 72:[75, 56, 9, 69], Operations: []
Exploring Operation: 75+69=144, Resulting Numbers: [56, 9, 144]
Generated Node #2: [56, 9, 144] from Operation: 75+69=144
Current State: 72:[56, 9, 144], Operations: ['75+69=144']
Exploring Operation: 144/9=16, Resulting Numbers: [56, 16]
Generated Node #3: [56, 16] from Operation: 144/9=16
Current State: 72:[56, 16], Operations: ['75+69=144', '144/9=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
6,
87,
78,
30
] | 90 | [
"87-6=81",
"81-78=3",
"30*3=90"
] | Current State: 90:[6, 87, 78, 30], Operations: []
Exploring Operation: 87-6=81, Resulting Numbers: [78, 30, 81]
Generated Node #2: [78, 30, 81] from Operation: 87-6=81
Current State: 90:[78, 30, 81], Operations: ['87-6=81']
Exploring Operation: 81-78=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 81-78=3
Current State: 90:[30, 3], Operations: ['87-6=81', '81-78=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
65,
55,
38,
60
] | 36 | [
"65+55=120",
"120/60=2",
"38-2=36"
] | Current State: 36:[65, 55, 38, 60], Operations: []
Exploring Operation: 65+55=120, Resulting Numbers: [38, 60, 120]
Generated Node #2: [38, 60, 120] from Operation: 65+55=120
Current State: 36:[38, 60, 120], Operations: ['65+55=120']
Exploring Operation: 120/60=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 120/60=2
Current State: 36:[38, 2], Operations: ['65+55=120', '120/60=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
89,
56,
34,
15
] | 96 | [
"89+56=145",
"34+15=49",
"145-49=96"
] | Current State: 96:[89, 56, 34, 15], Operations: []
Exploring Operation: 89+56=145, Resulting Numbers: [34, 15, 145]
Generated Node #2: [34, 15, 145] from Operation: 89+56=145
Current State: 96:[34, 15, 145], Operations: ['89+56=145']
Exploring Operation: 34+15=49, Resulting Numbers: [145, 49]
Generated Node #3: [145, 49] from Operation: 34+15=49
Current State: 96:[145, 49], Operations: ['89+56=145', '34+15=49']
Exploring Operation: 145-49=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
58,
98,
94,
30
] | 24 | [
"98-58=40",
"94-30=64",
"64-40=24"
] | Current State: 24:[58, 98, 94, 30], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [94, 30, 40]
Generated Node #2: [94, 30, 40] from Operation: 98-58=40
Current State: 24:[94, 30, 40], Operations: ['98-58=40']
Exploring Operation: 94-30=64, Resulting Numbers: [40, 64]
Generated Node #3: [40, 64] from Operation: 94-30=64
Current State: 24:[40, 64], Operations: ['98-58=40', '94-30=64']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
6,
9,
75,
85
] | 64 | [
"6*9=54",
"85-75=10",
"54+10=64"
] | Current State: 64:[6, 9, 75, 85], Operations: []
Exploring Operation: 6*9=54, Resulting Numbers: [75, 85, 54]
Generated Node #2: [75, 85, 54] from Operation: 6*9=54
Current State: 64:[75, 85, 54], Operations: ['6*9=54']
Exploring Operation: 85-75=10, Resulting Numbers: [54, 10]
Generated Node #3: [54, 10] from Operation: 85-75=10
Current State: 64:[54, 10], Operations: ['6*9=54', '85-75=10']
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
16,
80,
42,
22
] | 68 | [
"80/16=5",
"22*5=110",
"110-42=68"
] | Current State: 68:[16, 80, 42, 22], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [42, 22, 5]
Generated Node #2: [42, 22, 5] from Operation: 80/16=5
Current State: 68:[42, 22, 5], Operations: ['80/16=5']
Exploring Operation: 22*5=110, Resulting Numbers: [42, 110]
Generated Node #3: [42, 110] from Operation: 22*5=110
Current State: 68:[42, 110], Operations: ['80/16=5', '22*5=110']
Exploring Operation: 110-42=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
90,
21,
50,
71
] | 91 | [
"21+50=71",
"71/71=1",
"90+1=91"
] | Current State: 91:[90, 21, 50, 71], Operations: []
Exploring Operation: 21+50=71, Resulting Numbers: [90, 71, 71]
Generated Node #2: [90, 71, 71] from Operation: 21+50=71
Current State: 91:[90, 71, 71], Operations: ['21+50=71']
Exploring Operation: 71/71=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 71/71=1
Current State: 91:[90, 1], Operations: ['21+50=71', '71/71=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
7,
90,
52
] | 77 | [
"90-27=63",
"63-52=11",
"7*11=77"
] | Current State: 77:[27, 7, 90, 52], Operations: []
Exploring Operation: 90-27=63, Resulting Numbers: [7, 52, 63]
Generated Node #2: [7, 52, 63] from Operation: 90-27=63
Current State: 77:[7, 52, 63], Operations: ['90-27=63']
Exploring Operation: 63-52=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 63-52=11
Current State: 77:[7, 11], Operations: ['90-27=63', '63-52=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
10,
61,
37,
30
] | 78 | [
"10+61=71",
"37-30=7",
"71+7=78"
] | Current State: 78:[10, 61, 37, 30], Operations: []
Exploring Operation: 10+61=71, Resulting Numbers: [37, 30, 71]
Generated Node #2: [37, 30, 71] from Operation: 10+61=71
Current State: 78:[37, 30, 71], Operations: ['10+61=71']
Exploring Operation: 37-30=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 37-30=7
Current State: 78:[71, 7], Operations: ['10+61=71', '37-30=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
18,
35,
8,
31
] | 76 | [
"18+35=53",
"31-8=23",
"53+23=76"
] | Current State: 76:[18, 35, 8, 31], Operations: []
Exploring Operation: 18+35=53, Resulting Numbers: [8, 31, 53]
Generated Node #2: [8, 31, 53] from Operation: 18+35=53
Current State: 76:[8, 31, 53], Operations: ['18+35=53']
Exploring Operation: 31-8=23, Resulting Numbers: [53, 23]
Generated Node #3: [53, 23] from Operation: 31-8=23
Current State: 76:[53, 23], Operations: ['18+35=53', '31-8=23']
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
83,
4,
16,
45
] | 64 | [
"83+45=128",
"4*16=64",
"128-64=64"
] | Current State: 64:[83, 4, 16, 45], Operations: []
Exploring Operation: 83+45=128, Resulting Numbers: [4, 16, 128]
Generated Node #2: [4, 16, 128] from Operation: 83+45=128
Current State: 64:[4, 16, 128], Operations: ['83+45=128']
Exploring Operation: 4*16=64, Resulting Numbers: [128, 64]
Generated Node #3: [128, 64] from Operation: 4*16=64
Current State: 64:[128, 64], Operations: ['83+45=128', '4*16=64']
Exploring Operation: 128-64=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
71,
50,
2,
18
] | 55 | [
"50-18=32",
"32/2=16",
"71-16=55"
] | Current State: 55:[71, 50, 2, 18], Operations: []
Exploring Operation: 50-18=32, Resulting Numbers: [71, 2, 32]
Generated Node #2: [71, 2, 32] from Operation: 50-18=32
Current State: 55:[71, 2, 32], Operations: ['50-18=32']
Exploring Operation: 32/2=16, Resulting Numbers: [71, 16]
Generated Node #3: [71, 16] from Operation: 32/2=16
Current State: 55:[71, 16], Operations: ['50-18=32', '32/2=16']
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
4,
55,
68,
65
] | 47 | [
"55+68=123",
"65+123=188",
"188/4=47"
] | Current State: 47:[4, 55, 68, 65], Operations: []
Exploring Operation: 55+68=123, Resulting Numbers: [4, 65, 123]
Generated Node #2: [4, 65, 123] from Operation: 55+68=123
Current State: 47:[4, 65, 123], Operations: ['55+68=123']
Exploring Operation: 65+123=188, Resulting Numbers: [4, 188]
Generated Node #3: [4, 188] from Operation: 65+123=188
Current State: 47:[4, 188], Operations: ['55+68=123', '65+123=188']
Exploring Operation: 188/4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
75,
75,
13,
81
] | 95 | [
"75/75=1",
"13+81=94",
"1+94=95"
] | Current State: 95:[75, 75, 13, 81], Operations: []
Exploring Operation: 75/75=1, Resulting Numbers: [13, 81, 1]
Generated Node #2: [13, 81, 1] from Operation: 75/75=1
Current State: 95:[13, 81, 1], Operations: ['75/75=1']
Exploring Operation: 13+81=94, Resulting Numbers: [1, 94]
Generated Node #3: [1, 94] from Operation: 13+81=94
Current State: 95:[1, 94], Operations: ['75/75=1', '13+81=94']
Exploring Operation: 1+94=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
50,
37,
71,
5
] | 79 | [
"50-37=13",
"71-5=66",
"13+66=79"
] | Current State: 79:[50, 37, 71, 5], Operations: []
Exploring Operation: 50-37=13, Resulting Numbers: [71, 5, 13]
Generated Node #2: [71, 5, 13] from Operation: 50-37=13
Current State: 79:[71, 5, 13], Operations: ['50-37=13']
Exploring Operation: 71-5=66, Resulting Numbers: [13, 66]
Generated Node #3: [13, 66] from Operation: 71-5=66
Current State: 79:[13, 66], Operations: ['50-37=13', '71-5=66']
Exploring Operation: 13+66=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
98,
2,
77,
11
] | 42 | [
"98/2=49",
"77/11=7",
"49-7=42"
] | Current State: 42:[98, 2, 77, 11], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [77, 11, 49]
Generated Node #2: [77, 11, 49] from Operation: 98/2=49
Current State: 42:[77, 11, 49], Operations: ['98/2=49']
Exploring Operation: 77/11=7, Resulting Numbers: [49, 7]
Generated Node #3: [49, 7] from Operation: 77/11=7
Current State: 42:[49, 7], Operations: ['98/2=49', '77/11=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
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