nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
27,
45,
42,
6
] | 90 | [
"27-6=21",
"45*42=1890",
"1890/21=90"
] | Current State: 90:[27, 45, 42, 6], Operations: []
Exploring Operation: 27-6=21, Resulting Numbers: [45, 42, 21]
Generated Node #2: [45, 42, 21] from Operation: 27-6=21
Current State: 90:[45, 42, 21], Operations: ['27-6=21']
Exploring Operation: 45*42=1890, Resulting Numbers: [21, 1890]
Generated Node #3: [21, 1890] from Operation: 45*42=1890
Current State: 90:[21, 1890], Operations: ['27-6=21', '45*42=1890']
Exploring Operation: 1890/21=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
95,
90,
60,
85
] | 66 | [
"95*60=5700",
"5700-90=5610",
"5610/85=66"
] | Current State: 66:[95, 90, 60, 85], Operations: []
Exploring Operation: 95*60=5700, Resulting Numbers: [90, 85, 5700]
Generated Node #2: [90, 85, 5700] from Operation: 95*60=5700
Current State: 66:[90, 85, 5700], Operations: ['95*60=5700']
Exploring Operation: 5700-90=5610, Resulting Numbers: [85, 5610]
Generated Node #3: [85, 5610] from Operation: 5700-90=5610
Current State: 66:[85, 5610], Operations: ['95*60=5700', '5700-90=5610']
Exploring Operation: 5610/85=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
79,
63,
59,
58
] | 84 | [
"79-58=21",
"63-59=4",
"21*4=84"
] | Current State: 84:[79, 63, 59, 58], Operations: []
Exploring Operation: 79-58=21, Resulting Numbers: [63, 59, 21]
Generated Node #2: [63, 59, 21] from Operation: 79-58=21
Current State: 84:[63, 59, 21], Operations: ['79-58=21']
Exploring Operation: 63-59=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 63-59=4
Current State: 84:[21, 4], Operations: ['79-58=21', '63-59=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
34,
70,
94,
89
] | 41 | [
"70-34=36",
"94-89=5",
"36+5=41"
] | Current State: 41:[34, 70, 94, 89], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [94, 89, 36]
Generated Node #2: [94, 89, 36] from Operation: 70-34=36
Current State: 41:[94, 89, 36], Operations: ['70-34=36']
Exploring Operation: 94-89=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 94-89=5
Current State: 41:[36, 5], Operations: ['70-34=36', '94-89=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
48,
19,
11,
38
] | 13 | [
"48*19=912",
"912/38=24",
"24-11=13"
] | Current State: 13:[48, 19, 11, 38], Operations: []
Exploring Operation: 48*19=912, Resulting Numbers: [11, 38, 912]
Generated Node #2: [11, 38, 912] from Operation: 48*19=912
Current State: 13:[11, 38, 912], Operations: ['48*19=912']
Exploring Operation: 912/38=24, Resulting Numbers: [11, 24]
Generated Node #3: [11, 24] from Operation: 912/38=24
Current State: 13:[11, 24], Operations: ['48*19=912', '912/38=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
35,
13,
2,
15
] | 38 | [
"35+15=50",
"50/2=25",
"13+25=38"
] | Current State: 38:[35, 13, 2, 15], Operations: []
Exploring Operation: 35+15=50, Resulting Numbers: [13, 2, 50]
Generated Node #2: [13, 2, 50] from Operation: 35+15=50
Current State: 38:[13, 2, 50], Operations: ['35+15=50']
Exploring Operation: 50/2=25, Resulting Numbers: [13, 25]
Generated Node #3: [13, 25] from Operation: 50/2=25
Current State: 38:[13, 25], Operations: ['35+15=50', '50/2=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
75,
42,
53,
50
] | 36 | [
"75-42=33",
"53-50=3",
"33+3=36"
] | Current State: 36:[75, 42, 53, 50], Operations: []
Exploring Operation: 75-42=33, Resulting Numbers: [53, 50, 33]
Generated Node #2: [53, 50, 33] from Operation: 75-42=33
Current State: 36:[53, 50, 33], Operations: ['75-42=33']
Exploring Operation: 53-50=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 53-50=3
Current State: 36:[33, 3], Operations: ['75-42=33', '53-50=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
46,
24,
36,
2
] | 28 | [
"46-24=22",
"36-22=14",
"2*14=28"
] | Current State: 28:[46, 24, 36, 2], Operations: []
Exploring Operation: 46-24=22, Resulting Numbers: [36, 2, 22]
Generated Node #2: [36, 2, 22] from Operation: 46-24=22
Current State: 28:[36, 2, 22], Operations: ['46-24=22']
Exploring Operation: 36-22=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 36-22=14
Current State: 28:[2, 14], Operations: ['46-24=22', '36-22=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
19,
98,
96,
50
] | 29 | [
"19+98=117",
"96+50=146",
"146-117=29"
] | Current State: 29:[19, 98, 96, 50], Operations: []
Exploring Operation: 19+98=117, Resulting Numbers: [96, 50, 117]
Generated Node #2: [96, 50, 117] from Operation: 19+98=117
Current State: 29:[96, 50, 117], Operations: ['19+98=117']
Exploring Operation: 96+50=146, Resulting Numbers: [117, 146]
Generated Node #3: [117, 146] from Operation: 96+50=146
Current State: 29:[117, 146], Operations: ['19+98=117', '96+50=146']
Exploring Operation: 146-117=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
34,
35,
48,
29
] | 84 | [
"48-34=14",
"35-29=6",
"14*6=84"
] | Current State: 84:[34, 35, 48, 29], Operations: []
Exploring Operation: 48-34=14, Resulting Numbers: [35, 29, 14]
Generated Node #2: [35, 29, 14] from Operation: 48-34=14
Current State: 84:[35, 29, 14], Operations: ['48-34=14']
Exploring Operation: 35-29=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 35-29=6
Current State: 84:[14, 6], Operations: ['48-34=14', '35-29=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
74,
95,
91,
9
] | 79 | [
"95-74=21",
"91+9=100",
"100-21=79"
] | Current State: 79:[74, 95, 91, 9], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [91, 9, 21]
Generated Node #2: [91, 9, 21] from Operation: 95-74=21
Current State: 79:[91, 9, 21], Operations: ['95-74=21']
Exploring Operation: 91+9=100, Resulting Numbers: [21, 100]
Generated Node #3: [21, 100] from Operation: 91+9=100
Current State: 79:[21, 100], Operations: ['95-74=21', '91+9=100']
Exploring Operation: 100-21=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
20,
56,
62,
41
] | 67 | [
"56-20=36",
"62+41=103",
"103-36=67"
] | Current State: 67:[20, 56, 62, 41], Operations: []
Exploring Operation: 56-20=36, Resulting Numbers: [62, 41, 36]
Generated Node #2: [62, 41, 36] from Operation: 56-20=36
Current State: 67:[62, 41, 36], Operations: ['56-20=36']
Exploring Operation: 62+41=103, Resulting Numbers: [36, 103]
Generated Node #3: [36, 103] from Operation: 62+41=103
Current State: 67:[36, 103], Operations: ['56-20=36', '62+41=103']
Exploring Operation: 103-36=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
4,
15,
31,
51
] | 65 | [
"51-31=20",
"4*20=80",
"80-15=65"
] | Current State: 65:[4, 15, 31, 51], Operations: []
Exploring Operation: 51-31=20, Resulting Numbers: [4, 15, 20]
Generated Node #2: [4, 15, 20] from Operation: 51-31=20
Current State: 65:[4, 15, 20], Operations: ['51-31=20']
Exploring Operation: 4*20=80, Resulting Numbers: [15, 80]
Generated Node #3: [15, 80] from Operation: 4*20=80
Current State: 65:[15, 80], Operations: ['51-31=20', '4*20=80']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
86,
33,
74,
72
] | 39 | [
"86-74=12",
"72/12=6",
"33+6=39"
] | Current State: 39:[86, 33, 74, 72], Operations: []
Exploring Operation: 86-74=12, Resulting Numbers: [33, 72, 12]
Generated Node #2: [33, 72, 12] from Operation: 86-74=12
Current State: 39:[33, 72, 12], Operations: ['86-74=12']
Exploring Operation: 72/12=6, Resulting Numbers: [33, 6]
Generated Node #3: [33, 6] from Operation: 72/12=6
Current State: 39:[33, 6], Operations: ['86-74=12', '72/12=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
98,
4,
22,
19
] | 91 | [
"98-4=94",
"22-19=3",
"94-3=91"
] | Current State: 91:[98, 4, 22, 19], Operations: []
Exploring Operation: 98-4=94, Resulting Numbers: [22, 19, 94]
Generated Node #2: [22, 19, 94] from Operation: 98-4=94
Current State: 91:[22, 19, 94], Operations: ['98-4=94']
Exploring Operation: 22-19=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 22-19=3
Current State: 91:[94, 3], Operations: ['98-4=94', '22-19=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
79,
12,
3,
47
] | 30 | [
"79+47=126",
"126/3=42",
"42-12=30"
] | Current State: 30:[79, 12, 3, 47], Operations: []
Exploring Operation: 79+47=126, Resulting Numbers: [12, 3, 126]
Generated Node #2: [12, 3, 126] from Operation: 79+47=126
Current State: 30:[12, 3, 126], Operations: ['79+47=126']
Exploring Operation: 126/3=42, Resulting Numbers: [12, 42]
Generated Node #3: [12, 42] from Operation: 126/3=42
Current State: 30:[12, 42], Operations: ['79+47=126', '126/3=42']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
26,
60,
5,
95
] | 33 | [
"95-60=35",
"35/5=7",
"26+7=33"
] | Current State: 33:[26, 60, 5, 95], Operations: []
Exploring Operation: 95-60=35, Resulting Numbers: [26, 5, 35]
Generated Node #2: [26, 5, 35] from Operation: 95-60=35
Current State: 33:[26, 5, 35], Operations: ['95-60=35']
Exploring Operation: 35/5=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 35/5=7
Current State: 33:[26, 7], Operations: ['95-60=35', '35/5=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
23,
84,
81,
8
] | 19 | [
"23*8=184",
"84+81=165",
"184-165=19"
] | Current State: 19:[23, 84, 81, 8], Operations: []
Exploring Operation: 23*8=184, Resulting Numbers: [84, 81, 184]
Generated Node #2: [84, 81, 184] from Operation: 23*8=184
Current State: 19:[84, 81, 184], Operations: ['23*8=184']
Exploring Operation: 84+81=165, Resulting Numbers: [184, 165]
Generated Node #3: [184, 165] from Operation: 84+81=165
Current State: 19:[184, 165], Operations: ['23*8=184', '84+81=165']
Exploring Operation: 184-165=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
24,
26,
15,
17
] | 81 | [
"24-15=9",
"26-17=9",
"9*9=81"
] | Current State: 81:[24, 26, 15, 17], Operations: []
Exploring Operation: 24-15=9, Resulting Numbers: [26, 17, 9]
Generated Node #2: [26, 17, 9] from Operation: 24-15=9
Current State: 81:[26, 17, 9], Operations: ['24-15=9']
Exploring Operation: 26-17=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 26-17=9
Current State: 81:[9, 9], Operations: ['24-15=9', '26-17=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
3,
2,
2,
31
] | 89 | [
"3*31=93",
"2+2=4",
"93-4=89"
] | Current State: 89:[3, 2, 2, 31], Operations: []
Exploring Operation: 3*31=93, Resulting Numbers: [2, 2, 93]
Generated Node #2: [2, 2, 93] from Operation: 3*31=93
Current State: 89:[2, 2, 93], Operations: ['3*31=93']
Exploring Operation: 2+2=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 2+2=4
Current State: 89:[93, 4], Operations: ['3*31=93', '2+2=4']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
34,
68,
36,
87
] | 21 | [
"34+68=102",
"36+87=123",
"123-102=21"
] | Current State: 21:[34, 68, 36, 87], Operations: []
Exploring Operation: 34+68=102, Resulting Numbers: [36, 87, 102]
Generated Node #2: [36, 87, 102] from Operation: 34+68=102
Current State: 21:[36, 87, 102], Operations: ['34+68=102']
Exploring Operation: 36+87=123, Resulting Numbers: [102, 123]
Generated Node #3: [102, 123] from Operation: 36+87=123
Current State: 21:[102, 123], Operations: ['34+68=102', '36+87=123']
Exploring Operation: 123-102=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
46,
75,
95,
50
] | 76 | [
"46+75=121",
"95-50=45",
"121-45=76"
] | Current State: 76:[46, 75, 95, 50], Operations: []
Exploring Operation: 46+75=121, Resulting Numbers: [95, 50, 121]
Generated Node #2: [95, 50, 121] from Operation: 46+75=121
Current State: 76:[95, 50, 121], Operations: ['46+75=121']
Exploring Operation: 95-50=45, Resulting Numbers: [121, 45]
Generated Node #3: [121, 45] from Operation: 95-50=45
Current State: 76:[121, 45], Operations: ['46+75=121', '95-50=45']
Exploring Operation: 121-45=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
33,
1,
19,
60
] | 75 | [
"33+1=34",
"60-19=41",
"34+41=75"
] | Current State: 75:[33, 1, 19, 60], Operations: []
Exploring Operation: 33+1=34, Resulting Numbers: [19, 60, 34]
Generated Node #2: [19, 60, 34] from Operation: 33+1=34
Current State: 75:[19, 60, 34], Operations: ['33+1=34']
Exploring Operation: 60-19=41, Resulting Numbers: [34, 41]
Generated Node #3: [34, 41] from Operation: 60-19=41
Current State: 75:[34, 41], Operations: ['33+1=34', '60-19=41']
Exploring Operation: 34+41=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
40,
13,
34,
80
] | 81 | [
"80/40=2",
"34*2=68",
"13+68=81"
] | Current State: 81:[40, 13, 34, 80], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [13, 34, 2]
Generated Node #2: [13, 34, 2] from Operation: 80/40=2
Current State: 81:[13, 34, 2], Operations: ['80/40=2']
Exploring Operation: 34*2=68, Resulting Numbers: [13, 68]
Generated Node #3: [13, 68] from Operation: 34*2=68
Current State: 81:[13, 68], Operations: ['80/40=2', '34*2=68']
Exploring Operation: 13+68=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
82,
22,
61,
17
] | 80 | [
"61-17=44",
"44/22=2",
"82-2=80"
] | Current State: 80:[82, 22, 61, 17], Operations: []
Exploring Operation: 61-17=44, Resulting Numbers: [82, 22, 44]
Generated Node #2: [82, 22, 44] from Operation: 61-17=44
Current State: 80:[82, 22, 44], Operations: ['61-17=44']
Exploring Operation: 44/22=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 44/22=2
Current State: 80:[82, 2], Operations: ['61-17=44', '44/22=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
78,
6,
93,
41
] | 65 | [
"78/6=13",
"93-41=52",
"13+52=65"
] | Current State: 65:[78, 6, 93, 41], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [93, 41, 13]
Generated Node #2: [93, 41, 13] from Operation: 78/6=13
Current State: 65:[93, 41, 13], Operations: ['78/6=13']
Exploring Operation: 93-41=52, Resulting Numbers: [13, 52]
Generated Node #3: [13, 52] from Operation: 93-41=52
Current State: 65:[13, 52], Operations: ['78/6=13', '93-41=52']
Exploring Operation: 13+52=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
58,
4,
62,
35
] | 81 | [
"58-4=54",
"62-35=27",
"54+27=81"
] | Current State: 81:[58, 4, 62, 35], Operations: []
Exploring Operation: 58-4=54, Resulting Numbers: [62, 35, 54]
Generated Node #2: [62, 35, 54] from Operation: 58-4=54
Current State: 81:[62, 35, 54], Operations: ['58-4=54']
Exploring Operation: 62-35=27, Resulting Numbers: [54, 27]
Generated Node #3: [54, 27] from Operation: 62-35=27
Current State: 81:[54, 27], Operations: ['58-4=54', '62-35=27']
Exploring Operation: 54+27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
36,
21,
46,
28
] | 89 | [
"36-21=15",
"46+28=74",
"15+74=89"
] | Current State: 89:[36, 21, 46, 28], Operations: []
Exploring Operation: 36-21=15, Resulting Numbers: [46, 28, 15]
Generated Node #2: [46, 28, 15] from Operation: 36-21=15
Current State: 89:[46, 28, 15], Operations: ['36-21=15']
Exploring Operation: 46+28=74, Resulting Numbers: [15, 74]
Generated Node #3: [15, 74] from Operation: 46+28=74
Current State: 89:[15, 74], Operations: ['36-21=15', '46+28=74']
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
42,
39,
23,
95
] | 69 | [
"42-39=3",
"95-23=72",
"72-3=69"
] | Current State: 69:[42, 39, 23, 95], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [23, 95, 3]
Generated Node #2: [23, 95, 3] from Operation: 42-39=3
Current State: 69:[23, 95, 3], Operations: ['42-39=3']
Exploring Operation: 95-23=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 95-23=72
Current State: 69:[3, 72], Operations: ['42-39=3', '95-23=72']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
27,
33,
36,
75
] | 99 | [
"27+33=60",
"75-36=39",
"60+39=99"
] | Current State: 99:[27, 33, 36, 75], Operations: []
Exploring Operation: 27+33=60, Resulting Numbers: [36, 75, 60]
Generated Node #2: [36, 75, 60] from Operation: 27+33=60
Current State: 99:[36, 75, 60], Operations: ['27+33=60']
Exploring Operation: 75-36=39, Resulting Numbers: [60, 39]
Generated Node #3: [60, 39] from Operation: 75-36=39
Current State: 99:[60, 39], Operations: ['27+33=60', '75-36=39']
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
58,
38,
78,
10
] | 88 | [
"58-38=20",
"78-10=68",
"20+68=88"
] | Current State: 88:[58, 38, 78, 10], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [78, 10, 20]
Generated Node #2: [78, 10, 20] from Operation: 58-38=20
Current State: 88:[78, 10, 20], Operations: ['58-38=20']
Exploring Operation: 78-10=68, Resulting Numbers: [20, 68]
Generated Node #3: [20, 68] from Operation: 78-10=68
Current State: 88:[20, 68], Operations: ['58-38=20', '78-10=68']
Exploring Operation: 20+68=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
91,
10,
90,
77
] | 88 | [
"91+10=101",
"90-77=13",
"101-13=88"
] | Current State: 88:[91, 10, 90, 77], Operations: []
Exploring Operation: 91+10=101, Resulting Numbers: [90, 77, 101]
Generated Node #2: [90, 77, 101] from Operation: 91+10=101
Current State: 88:[90, 77, 101], Operations: ['91+10=101']
Exploring Operation: 90-77=13, Resulting Numbers: [101, 13]
Generated Node #3: [101, 13] from Operation: 90-77=13
Current State: 88:[101, 13], Operations: ['91+10=101', '90-77=13']
Exploring Operation: 101-13=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
91,
31,
2,
32
] | 92 | [
"91+31=122",
"32-2=30",
"122-30=92"
] | Current State: 92:[91, 31, 2, 32], Operations: []
Exploring Operation: 91+31=122, Resulting Numbers: [2, 32, 122]
Generated Node #2: [2, 32, 122] from Operation: 91+31=122
Current State: 92:[2, 32, 122], Operations: ['91+31=122']
Exploring Operation: 32-2=30, Resulting Numbers: [122, 30]
Generated Node #3: [122, 30] from Operation: 32-2=30
Current State: 92:[122, 30], Operations: ['91+31=122', '32-2=30']
Exploring Operation: 122-30=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
5,
94,
20,
37
] | 72 | [
"94-5=89",
"37-20=17",
"89-17=72"
] | Current State: 72:[5, 94, 20, 37], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [20, 37, 89]
Generated Node #2: [20, 37, 89] from Operation: 94-5=89
Current State: 72:[20, 37, 89], Operations: ['94-5=89']
Exploring Operation: 37-20=17, Resulting Numbers: [89, 17]
Generated Node #3: [89, 17] from Operation: 37-20=17
Current State: 72:[89, 17], Operations: ['94-5=89', '37-20=17']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
74,
47,
69,
8
] | 87 | [
"74-69=5",
"8*5=40",
"47+40=87"
] | Current State: 87:[74, 47, 69, 8], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [47, 8, 5]
Generated Node #2: [47, 8, 5] from Operation: 74-69=5
Current State: 87:[47, 8, 5], Operations: ['74-69=5']
Exploring Operation: 8*5=40, Resulting Numbers: [47, 40]
Generated Node #3: [47, 40] from Operation: 8*5=40
Current State: 87:[47, 40], Operations: ['74-69=5', '8*5=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
43,
12,
8,
6
] | 47 | [
"43+6=49",
"12*8=96",
"96-49=47"
] | Current State: 47:[43, 12, 8, 6], Operations: []
Exploring Operation: 43+6=49, Resulting Numbers: [12, 8, 49]
Generated Node #2: [12, 8, 49] from Operation: 43+6=49
Current State: 47:[12, 8, 49], Operations: ['43+6=49']
Exploring Operation: 12*8=96, Resulting Numbers: [49, 96]
Generated Node #3: [49, 96] from Operation: 12*8=96
Current State: 47:[49, 96], Operations: ['43+6=49', '12*8=96']
Exploring Operation: 96-49=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
28,
56,
89,
49
] | 52 | [
"28*89=2492",
"56+2492=2548",
"2548/49=52"
] | Current State: 52:[28, 56, 89, 49], Operations: []
Exploring Operation: 28*89=2492, Resulting Numbers: [56, 49, 2492]
Generated Node #2: [56, 49, 2492] from Operation: 28*89=2492
Current State: 52:[56, 49, 2492], Operations: ['28*89=2492']
Exploring Operation: 56+2492=2548, Resulting Numbers: [49, 2548]
Generated Node #3: [49, 2548] from Operation: 56+2492=2548
Current State: 52:[49, 2548], Operations: ['28*89=2492', '56+2492=2548']
Exploring Operation: 2548/49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
44,
50,
67,
77
] | 84 | [
"44+50=94",
"77-67=10",
"94-10=84"
] | Current State: 84:[44, 50, 67, 77], Operations: []
Exploring Operation: 44+50=94, Resulting Numbers: [67, 77, 94]
Generated Node #2: [67, 77, 94] from Operation: 44+50=94
Current State: 84:[67, 77, 94], Operations: ['44+50=94']
Exploring Operation: 77-67=10, Resulting Numbers: [94, 10]
Generated Node #3: [94, 10] from Operation: 77-67=10
Current State: 84:[94, 10], Operations: ['44+50=94', '77-67=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
32,
30,
42,
28
] | 26 | [
"30-28=2",
"32/2=16",
"42-16=26"
] | Current State: 26:[32, 30, 42, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [32, 42, 2]
Generated Node #2: [32, 42, 2] from Operation: 30-28=2
Current State: 26:[32, 42, 2], Operations: ['30-28=2']
Exploring Operation: 32/2=16, Resulting Numbers: [42, 16]
Generated Node #3: [42, 16] from Operation: 32/2=16
Current State: 26:[42, 16], Operations: ['30-28=2', '32/2=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
49,
40,
74,
48
] | 35 | [
"49-40=9",
"74-48=26",
"9+26=35"
] | Current State: 35:[49, 40, 74, 48], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [74, 48, 9]
Generated Node #2: [74, 48, 9] from Operation: 49-40=9
Current State: 35:[74, 48, 9], Operations: ['49-40=9']
Exploring Operation: 74-48=26, Resulting Numbers: [9, 26]
Generated Node #3: [9, 26] from Operation: 74-48=26
Current State: 35:[9, 26], Operations: ['49-40=9', '74-48=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
56,
9,
25,
9
] | 49 | [
"56+9=65",
"25-9=16",
"65-16=49"
] | Current State: 49:[56, 9, 25, 9], Operations: []
Exploring Operation: 56+9=65, Resulting Numbers: [25, 65]
Generated Node #2: [25, 65] from Operation: 56+9=65
Current State: 49:[25, 65], Operations: ['56+9=65']
Exploring Operation: 25-9=16, Resulting Numbers: [65, 16]
Generated Node #3: [65, 16] from Operation: 25-9=16
Current State: 49:[65, 16], Operations: ['56+9=65', '25-9=16']
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
22,
54,
92,
8
] | 96 | [
"54-22=32",
"32/8=4",
"92+4=96"
] | Current State: 96:[22, 54, 92, 8], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [92, 8, 32]
Generated Node #2: [92, 8, 32] from Operation: 54-22=32
Current State: 96:[92, 8, 32], Operations: ['54-22=32']
Exploring Operation: 32/8=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 32/8=4
Current State: 96:[92, 4], Operations: ['54-22=32', '32/8=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
35,
63,
42,
86
] | 83 | [
"63+42=105",
"105/35=3",
"86-3=83"
] | Current State: 83:[35, 63, 42, 86], Operations: []
Exploring Operation: 63+42=105, Resulting Numbers: [35, 86, 105]
Generated Node #2: [35, 86, 105] from Operation: 63+42=105
Current State: 83:[35, 86, 105], Operations: ['63+42=105']
Exploring Operation: 105/35=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 105/35=3
Current State: 83:[86, 3], Operations: ['63+42=105', '105/35=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
5,
73,
1,
2
] | 82 | [
"5*2=10",
"73-1=72",
"10+72=82"
] | Current State: 82:[5, 73, 1, 2], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [73, 1, 10]
Generated Node #2: [73, 1, 10] from Operation: 5*2=10
Current State: 82:[73, 1, 10], Operations: ['5*2=10']
Exploring Operation: 73-1=72, Resulting Numbers: [10, 72]
Generated Node #3: [10, 72] from Operation: 73-1=72
Current State: 82:[10, 72], Operations: ['5*2=10', '73-1=72']
Exploring Operation: 10+72=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
11,
22,
34,
99
] | 30 | [
"99-11=88",
"88/22=4",
"34-4=30"
] | Current State: 30:[11, 22, 34, 99], Operations: []
Exploring Operation: 99-11=88, Resulting Numbers: [22, 34, 88]
Generated Node #2: [22, 34, 88] from Operation: 99-11=88
Current State: 30:[22, 34, 88], Operations: ['99-11=88']
Exploring Operation: 88/22=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 88/22=4
Current State: 30:[34, 4], Operations: ['99-11=88', '88/22=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
35,
74,
85,
61
] | 85 | [
"35+74=109",
"85-61=24",
"109-24=85"
] | Current State: 85:[35, 74, 85, 61], Operations: []
Exploring Operation: 35+74=109, Resulting Numbers: [85, 61, 109]
Generated Node #2: [85, 61, 109] from Operation: 35+74=109
Current State: 85:[85, 61, 109], Operations: ['35+74=109']
Exploring Operation: 85-61=24, Resulting Numbers: [109, 24]
Generated Node #3: [109, 24] from Operation: 85-61=24
Current State: 85:[109, 24], Operations: ['35+74=109', '85-61=24']
Exploring Operation: 109-24=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
22,
26,
40,
48
] | 73 | [
"40*48=1920",
"1920-22=1898",
"1898/26=73"
] | Current State: 73:[22, 26, 40, 48], Operations: []
Exploring Operation: 40*48=1920, Resulting Numbers: [22, 26, 1920]
Generated Node #2: [22, 26, 1920] from Operation: 40*48=1920
Current State: 73:[22, 26, 1920], Operations: ['40*48=1920']
Exploring Operation: 1920-22=1898, Resulting Numbers: [26, 1898]
Generated Node #3: [26, 1898] from Operation: 1920-22=1898
Current State: 73:[26, 1898], Operations: ['40*48=1920', '1920-22=1898']
Exploring Operation: 1898/26=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
14,
95,
37,
56
] | 53 | [
"56/14=4",
"37*4=148",
"148-95=53"
] | Current State: 53:[14, 95, 37, 56], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [95, 37, 4]
Generated Node #2: [95, 37, 4] from Operation: 56/14=4
Current State: 53:[95, 37, 4], Operations: ['56/14=4']
Exploring Operation: 37*4=148, Resulting Numbers: [95, 148]
Generated Node #3: [95, 148] from Operation: 37*4=148
Current State: 53:[95, 148], Operations: ['56/14=4', '37*4=148']
Exploring Operation: 148-95=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
17,
75,
5,
61
] | 87 | [
"75-61=14",
"5*14=70",
"17+70=87"
] | Current State: 87:[17, 75, 5, 61], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [17, 5, 14]
Generated Node #2: [17, 5, 14] from Operation: 75-61=14
Current State: 87:[17, 5, 14], Operations: ['75-61=14']
Exploring Operation: 5*14=70, Resulting Numbers: [17, 70]
Generated Node #3: [17, 70] from Operation: 5*14=70
Current State: 87:[17, 70], Operations: ['75-61=14', '5*14=70']
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
72,
99,
65,
16
] | 87 | [
"99*16=1584",
"1584/72=22",
"65+22=87"
] | Current State: 87:[72, 99, 65, 16], Operations: []
Exploring Operation: 99*16=1584, Resulting Numbers: [72, 65, 1584]
Generated Node #2: [72, 65, 1584] from Operation: 99*16=1584
Current State: 87:[72, 65, 1584], Operations: ['99*16=1584']
Exploring Operation: 1584/72=22, Resulting Numbers: [65, 22]
Generated Node #3: [65, 22] from Operation: 1584/72=22
Current State: 87:[65, 22], Operations: ['99*16=1584', '1584/72=22']
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
52,
35,
72,
12
] | 21 | [
"72-52=20",
"35*12=420",
"420/20=21"
] | Current State: 21:[52, 35, 72, 12], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [35, 12, 20]
Generated Node #2: [35, 12, 20] from Operation: 72-52=20
Current State: 21:[35, 12, 20], Operations: ['72-52=20']
Exploring Operation: 35*12=420, Resulting Numbers: [20, 420]
Generated Node #3: [20, 420] from Operation: 35*12=420
Current State: 21:[20, 420], Operations: ['72-52=20', '35*12=420']
Exploring Operation: 420/20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
53,
9,
98,
21
] | 16 | [
"98-53=45",
"45/9=5",
"21-5=16"
] | Current State: 16:[53, 9, 98, 21], Operations: []
Exploring Operation: 98-53=45, Resulting Numbers: [9, 21, 45]
Generated Node #2: [9, 21, 45] from Operation: 98-53=45
Current State: 16:[9, 21, 45], Operations: ['98-53=45']
Exploring Operation: 45/9=5, Resulting Numbers: [21, 5]
Generated Node #3: [21, 5] from Operation: 45/9=5
Current State: 16:[21, 5], Operations: ['98-53=45', '45/9=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
76,
27,
4,
70
] | 17 | [
"76-27=49",
"70-4=66",
"66-49=17"
] | Current State: 17:[76, 27, 4, 70], Operations: []
Exploring Operation: 76-27=49, Resulting Numbers: [4, 70, 49]
Generated Node #2: [4, 70, 49] from Operation: 76-27=49
Current State: 17:[4, 70, 49], Operations: ['76-27=49']
Exploring Operation: 70-4=66, Resulting Numbers: [49, 66]
Generated Node #3: [49, 66] from Operation: 70-4=66
Current State: 17:[49, 66], Operations: ['76-27=49', '70-4=66']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
44,
46,
73,
75
] | 42 | [
"75-73=2",
"44*2=88",
"88-46=42"
] | Current State: 42:[44, 46, 73, 75], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [44, 46, 2]
Generated Node #2: [44, 46, 2] from Operation: 75-73=2
Current State: 42:[44, 46, 2], Operations: ['75-73=2']
Exploring Operation: 44*2=88, Resulting Numbers: [46, 88]
Generated Node #3: [46, 88] from Operation: 44*2=88
Current State: 42:[46, 88], Operations: ['75-73=2', '44*2=88']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
71,
96,
44,
52
] | 71 | [
"71+96=167",
"44+52=96",
"167-96=71"
] | Current State: 71:[71, 96, 44, 52], Operations: []
Exploring Operation: 71+96=167, Resulting Numbers: [44, 52, 167]
Generated Node #2: [44, 52, 167] from Operation: 71+96=167
Current State: 71:[44, 52, 167], Operations: ['71+96=167']
Exploring Operation: 44+52=96, Resulting Numbers: [167, 96]
Generated Node #3: [167, 96] from Operation: 44+52=96
Current State: 71:[167, 96], Operations: ['71+96=167', '44+52=96']
Exploring Operation: 167-96=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
53,
55,
60,
61
] | 91 | [
"55-53=2",
"60/2=30",
"61+30=91"
] | Current State: 91:[53, 55, 60, 61], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [60, 61, 2]
Generated Node #2: [60, 61, 2] from Operation: 55-53=2
Current State: 91:[60, 61, 2], Operations: ['55-53=2']
Exploring Operation: 60/2=30, Resulting Numbers: [61, 30]
Generated Node #3: [61, 30] from Operation: 60/2=30
Current State: 91:[61, 30], Operations: ['55-53=2', '60/2=30']
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
40,
16,
12,
84
] | 43 | [
"16+12=28",
"84/28=3",
"40+3=43"
] | Current State: 43:[40, 16, 12, 84], Operations: []
Exploring Operation: 16+12=28, Resulting Numbers: [40, 84, 28]
Generated Node #2: [40, 84, 28] from Operation: 16+12=28
Current State: 43:[40, 84, 28], Operations: ['16+12=28']
Exploring Operation: 84/28=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 84/28=3
Current State: 43:[40, 3], Operations: ['16+12=28', '84/28=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
74,
70,
2,
54
] | 46 | [
"74-70=4",
"2*4=8",
"54-8=46"
] | Current State: 46:[74, 70, 2, 54], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [2, 54, 4]
Generated Node #2: [2, 54, 4] from Operation: 74-70=4
Current State: 46:[2, 54, 4], Operations: ['74-70=4']
Exploring Operation: 2*4=8, Resulting Numbers: [54, 8]
Generated Node #3: [54, 8] from Operation: 2*4=8
Current State: 46:[54, 8], Operations: ['74-70=4', '2*4=8']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
11,
75,
93,
68
] | 89 | [
"75-11=64",
"93-68=25",
"64+25=89"
] | Current State: 89:[11, 75, 93, 68], Operations: []
Exploring Operation: 75-11=64, Resulting Numbers: [93, 68, 64]
Generated Node #2: [93, 68, 64] from Operation: 75-11=64
Current State: 89:[93, 68, 64], Operations: ['75-11=64']
Exploring Operation: 93-68=25, Resulting Numbers: [64, 25]
Generated Node #3: [64, 25] from Operation: 93-68=25
Current State: 89:[64, 25], Operations: ['75-11=64', '93-68=25']
Exploring Operation: 64+25=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
53,
71,
7,
10
] | 88 | [
"71-53=18",
"7*10=70",
"18+70=88"
] | Current State: 88:[53, 71, 7, 10], Operations: []
Exploring Operation: 71-53=18, Resulting Numbers: [7, 10, 18]
Generated Node #2: [7, 10, 18] from Operation: 71-53=18
Current State: 88:[7, 10, 18], Operations: ['71-53=18']
Exploring Operation: 7*10=70, Resulting Numbers: [18, 70]
Generated Node #3: [18, 70] from Operation: 7*10=70
Current State: 88:[18, 70], Operations: ['71-53=18', '7*10=70']
Exploring Operation: 18+70=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
66,
30,
32,
77
] | 88 | [
"32-30=2",
"77*2=154",
"154-66=88"
] | Current State: 88:[66, 30, 32, 77], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [66, 77, 2]
Generated Node #2: [66, 77, 2] from Operation: 32-30=2
Current State: 88:[66, 77, 2], Operations: ['32-30=2']
Exploring Operation: 77*2=154, Resulting Numbers: [66, 154]
Generated Node #3: [66, 154] from Operation: 77*2=154
Current State: 88:[66, 154], Operations: ['32-30=2', '77*2=154']
Exploring Operation: 154-66=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
6,
14,
62,
10
] | 18 | [
"14-6=8",
"10*8=80",
"80-62=18"
] | Current State: 18:[6, 14, 62, 10], Operations: []
Exploring Operation: 14-6=8, Resulting Numbers: [62, 10, 8]
Generated Node #2: [62, 10, 8] from Operation: 14-6=8
Current State: 18:[62, 10, 8], Operations: ['14-6=8']
Exploring Operation: 10*8=80, Resulting Numbers: [62, 80]
Generated Node #3: [62, 80] from Operation: 10*8=80
Current State: 18:[62, 80], Operations: ['14-6=8', '10*8=80']
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
38,
54,
76,
8
] | 38 | [
"54-38=16",
"76*8=608",
"608/16=38"
] | Current State: 38:[38, 54, 76, 8], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [76, 8, 16]
Generated Node #2: [76, 8, 16] from Operation: 54-38=16
Current State: 38:[76, 8, 16], Operations: ['54-38=16']
Exploring Operation: 76*8=608, Resulting Numbers: [16, 608]
Generated Node #3: [16, 608] from Operation: 76*8=608
Current State: 38:[16, 608], Operations: ['54-38=16', '76*8=608']
Exploring Operation: 608/16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
48,
89,
81,
75
] | 69 | [
"89-81=8",
"48/8=6",
"75-6=69"
] | Current State: 69:[48, 89, 81, 75], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [48, 75, 8]
Generated Node #2: [48, 75, 8] from Operation: 89-81=8
Current State: 69:[48, 75, 8], Operations: ['89-81=8']
Exploring Operation: 48/8=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 48/8=6
Current State: 69:[75, 6], Operations: ['89-81=8', '48/8=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
85,
48,
81,
38
] | 14 | [
"85+48=133",
"81+38=119",
"133-119=14"
] | Current State: 14:[85, 48, 81, 38], Operations: []
Exploring Operation: 85+48=133, Resulting Numbers: [81, 38, 133]
Generated Node #2: [81, 38, 133] from Operation: 85+48=133
Current State: 14:[81, 38, 133], Operations: ['85+48=133']
Exploring Operation: 81+38=119, Resulting Numbers: [133, 119]
Generated Node #3: [133, 119] from Operation: 81+38=119
Current State: 14:[133, 119], Operations: ['85+48=133', '81+38=119']
Exploring Operation: 133-119=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
86,
30,
13,
38
] | 40 | [
"30+13=43",
"86/43=2",
"38+2=40"
] | Current State: 40:[86, 30, 13, 38], Operations: []
Exploring Operation: 30+13=43, Resulting Numbers: [86, 38, 43]
Generated Node #2: [86, 38, 43] from Operation: 30+13=43
Current State: 40:[86, 38, 43], Operations: ['30+13=43']
Exploring Operation: 86/43=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 86/43=2
Current State: 40:[38, 2], Operations: ['30+13=43', '86/43=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
12,
19,
38,
27
] | 18 | [
"19-12=7",
"38-27=11",
"7+11=18"
] | Current State: 18:[12, 19, 38, 27], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [38, 27, 7]
Generated Node #2: [38, 27, 7] from Operation: 19-12=7
Current State: 18:[38, 27, 7], Operations: ['19-12=7']
Exploring Operation: 38-27=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 38-27=11
Current State: 18:[7, 11], Operations: ['19-12=7', '38-27=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
47,
74,
19,
22
] | 81 | [
"74-47=27",
"22-19=3",
"27*3=81"
] | Current State: 81:[47, 74, 19, 22], Operations: []
Exploring Operation: 74-47=27, Resulting Numbers: [19, 22, 27]
Generated Node #2: [19, 22, 27] from Operation: 74-47=27
Current State: 81:[19, 22, 27], Operations: ['74-47=27']
Exploring Operation: 22-19=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 22-19=3
Current State: 81:[27, 3], Operations: ['74-47=27', '22-19=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
41,
2,
61,
1
] | 34 | [
"41+61=102",
"2+1=3",
"102/3=34"
] | Current State: 34:[41, 2, 61, 1], Operations: []
Exploring Operation: 41+61=102, Resulting Numbers: [2, 1, 102]
Generated Node #2: [2, 1, 102] from Operation: 41+61=102
Current State: 34:[2, 1, 102], Operations: ['41+61=102']
Exploring Operation: 2+1=3, Resulting Numbers: [102, 3]
Generated Node #3: [102, 3] from Operation: 2+1=3
Current State: 34:[102, 3], Operations: ['41+61=102', '2+1=3']
Exploring Operation: 102/3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
22,
21,
87,
21
] | 24 | [
"87-21=66",
"66/22=3",
"21+3=24"
] | Current State: 24:[22, 21, 87, 21], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [22, 66]
Generated Node #2: [22, 66] from Operation: 87-21=66
Current State: 24:[22, 66], Operations: ['87-21=66']
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,24 equal: Goal Reached
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
53,
6,
51,
46
] | 23 | [
"51-46=5",
"6*5=30",
"53-30=23"
] | Current State: 23:[53, 6, 51, 46], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [53, 6, 5]
Generated Node #2: [53, 6, 5] from Operation: 51-46=5
Current State: 23:[53, 6, 5], Operations: ['51-46=5']
Exploring Operation: 6*5=30, Resulting Numbers: [53, 30]
Generated Node #3: [53, 30] from Operation: 6*5=30
Current State: 23:[53, 30], Operations: ['51-46=5', '6*5=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
19,
37,
46,
31
] | 21 | [
"19+37=56",
"46+31=77",
"77-56=21"
] | Current State: 21:[19, 37, 46, 31], Operations: []
Exploring Operation: 19+37=56, Resulting Numbers: [46, 31, 56]
Generated Node #2: [46, 31, 56] from Operation: 19+37=56
Current State: 21:[46, 31, 56], Operations: ['19+37=56']
Exploring Operation: 46+31=77, Resulting Numbers: [56, 77]
Generated Node #3: [56, 77] from Operation: 46+31=77
Current State: 21:[56, 77], Operations: ['19+37=56', '46+31=77']
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
41,
92,
92,
5
] | 94 | [
"41+5=46",
"92/46=2",
"92+2=94"
] | Current State: 94:[41, 92, 92, 5], Operations: []
Exploring Operation: 41+5=46, Resulting Numbers: [92, 92, 46]
Generated Node #2: [92, 92, 46] from Operation: 41+5=46
Current State: 94:[92, 92, 46], Operations: ['41+5=46']
Exploring Operation: 92/46=2, Resulting Numbers: [2]
2,94 equal: Goal Reached
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
65,
15,
42,
30
] | 38 | [
"65-15=50",
"42-30=12",
"50-12=38"
] | Current State: 38:[65, 15, 42, 30], Operations: []
Exploring Operation: 65-15=50, Resulting Numbers: [42, 30, 50]
Generated Node #2: [42, 30, 50] from Operation: 65-15=50
Current State: 38:[42, 30, 50], Operations: ['65-15=50']
Exploring Operation: 42-30=12, Resulting Numbers: [50, 12]
Generated Node #3: [50, 12] from Operation: 42-30=12
Current State: 38:[50, 12], Operations: ['65-15=50', '42-30=12']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
86,
98,
18,
29
] | 50 | [
"86*18=1548",
"1548-98=1450",
"1450/29=50"
] | Current State: 50:[86, 98, 18, 29], Operations: []
Exploring Operation: 86*18=1548, Resulting Numbers: [98, 29, 1548]
Generated Node #2: [98, 29, 1548] from Operation: 86*18=1548
Current State: 50:[98, 29, 1548], Operations: ['86*18=1548']
Exploring Operation: 1548-98=1450, Resulting Numbers: [29, 1450]
Generated Node #3: [29, 1450] from Operation: 1548-98=1450
Current State: 50:[29, 1450], Operations: ['86*18=1548', '1548-98=1450']
Exploring Operation: 1450/29=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
41,
11,
93,
96
] | 48 | [
"41*96=3936",
"93-11=82",
"3936/82=48"
] | Current State: 48:[41, 11, 93, 96], Operations: []
Exploring Operation: 41*96=3936, Resulting Numbers: [11, 93, 3936]
Generated Node #2: [11, 93, 3936] from Operation: 41*96=3936
Current State: 48:[11, 93, 3936], Operations: ['41*96=3936']
Exploring Operation: 93-11=82, Resulting Numbers: [3936, 82]
Generated Node #3: [3936, 82] from Operation: 93-11=82
Current State: 48:[3936, 82], Operations: ['41*96=3936', '93-11=82']
Exploring Operation: 3936/82=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
48,
26,
32
] | 36 | [
"2*26=52",
"48-32=16",
"52-16=36"
] | Current State: 36:[2, 48, 26, 32], Operations: []
Exploring Operation: 2*26=52, Resulting Numbers: [48, 32, 52]
Generated Node #2: [48, 32, 52] from Operation: 2*26=52
Current State: 36:[48, 32, 52], Operations: ['2*26=52']
Exploring Operation: 48-32=16, Resulting Numbers: [52, 16]
Generated Node #3: [52, 16] from Operation: 48-32=16
Current State: 36:[52, 16], Operations: ['2*26=52', '48-32=16']
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
20,
96,
4,
81
] | 31 | [
"20+96=116",
"4+81=85",
"116-85=31"
] | Current State: 31:[20, 96, 4, 81], Operations: []
Exploring Operation: 20+96=116, Resulting Numbers: [4, 81, 116]
Generated Node #2: [4, 81, 116] from Operation: 20+96=116
Current State: 31:[4, 81, 116], Operations: ['20+96=116']
Exploring Operation: 4+81=85, Resulting Numbers: [116, 85]
Generated Node #3: [116, 85] from Operation: 4+81=85
Current State: 31:[116, 85], Operations: ['20+96=116', '4+81=85']
Exploring Operation: 116-85=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
55,
90,
23
] | 85 | [
"60+55=115",
"115/23=5",
"90-5=85"
] | Current State: 85:[60, 55, 90, 23], Operations: []
Exploring Operation: 60+55=115, Resulting Numbers: [90, 23, 115]
Generated Node #2: [90, 23, 115] from Operation: 60+55=115
Current State: 85:[90, 23, 115], Operations: ['60+55=115']
Exploring Operation: 115/23=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 115/23=5
Current State: 85:[90, 5], Operations: ['60+55=115', '115/23=5']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
16,
62,
46,
99
] | 25 | [
"16+62=78",
"99-46=53",
"78-53=25"
] | Current State: 25:[16, 62, 46, 99], Operations: []
Exploring Operation: 16+62=78, Resulting Numbers: [46, 99, 78]
Generated Node #2: [46, 99, 78] from Operation: 16+62=78
Current State: 25:[46, 99, 78], Operations: ['16+62=78']
Exploring Operation: 99-46=53, Resulting Numbers: [78, 53]
Generated Node #3: [78, 53] from Operation: 99-46=53
Current State: 25:[78, 53], Operations: ['16+62=78', '99-46=53']
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
29,
46,
19,
92
] | 90 | [
"46-29=17",
"92-19=73",
"17+73=90"
] | Current State: 90:[29, 46, 19, 92], Operations: []
Exploring Operation: 46-29=17, Resulting Numbers: [19, 92, 17]
Generated Node #2: [19, 92, 17] from Operation: 46-29=17
Current State: 90:[19, 92, 17], Operations: ['46-29=17']
Exploring Operation: 92-19=73, Resulting Numbers: [17, 73]
Generated Node #3: [17, 73] from Operation: 92-19=73
Current State: 90:[17, 73], Operations: ['46-29=17', '92-19=73']
Exploring Operation: 17+73=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
49,
40,
10,
68
] | 32 | [
"40/10=4",
"68/4=17",
"49-17=32"
] | Current State: 32:[49, 40, 10, 68], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [49, 68, 4]
Generated Node #2: [49, 68, 4] from Operation: 40/10=4
Current State: 32:[49, 68, 4], Operations: ['40/10=4']
Exploring Operation: 68/4=17, Resulting Numbers: [49, 17]
Generated Node #3: [49, 17] from Operation: 68/4=17
Current State: 32:[49, 17], Operations: ['40/10=4', '68/4=17']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
93,
58,
96,
70
] | 85 | [
"70-58=12",
"96/12=8",
"93-8=85"
] | Current State: 85:[93, 58, 96, 70], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [93, 96, 12]
Generated Node #2: [93, 96, 12] from Operation: 70-58=12
Current State: 85:[93, 96, 12], Operations: ['70-58=12']
Exploring Operation: 96/12=8, Resulting Numbers: [93, 8]
Generated Node #3: [93, 8] from Operation: 96/12=8
Current State: 85:[93, 8], Operations: ['70-58=12', '96/12=8']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
97,
32,
35,
10
] | 90 | [
"97-32=65",
"35-10=25",
"65+25=90"
] | Current State: 90:[97, 32, 35, 10], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [35, 10, 65]
Generated Node #2: [35, 10, 65] from Operation: 97-32=65
Current State: 90:[35, 10, 65], Operations: ['97-32=65']
Exploring Operation: 35-10=25, Resulting Numbers: [65, 25]
Generated Node #3: [65, 25] from Operation: 35-10=25
Current State: 90:[65, 25], Operations: ['97-32=65', '35-10=25']
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
22,
45,
61,
2
] | 12 | [
"22+45=67",
"67-61=6",
"2*6=12"
] | Current State: 12:[22, 45, 61, 2], Operations: []
Exploring Operation: 22+45=67, Resulting Numbers: [61, 2, 67]
Generated Node #2: [61, 2, 67] from Operation: 22+45=67
Current State: 12:[61, 2, 67], Operations: ['22+45=67']
Exploring Operation: 67-61=6, Resulting Numbers: [2, 6]
Generated Node #3: [2, 6] from Operation: 67-61=6
Current State: 12:[2, 6], Operations: ['22+45=67', '67-61=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
89,
20,
4,
7
] | 66 | [
"89-20=69",
"7-4=3",
"69-3=66"
] | Current State: 66:[89, 20, 4, 7], Operations: []
Exploring Operation: 89-20=69, Resulting Numbers: [4, 7, 69]
Generated Node #2: [4, 7, 69] from Operation: 89-20=69
Current State: 66:[4, 7, 69], Operations: ['89-20=69']
Exploring Operation: 7-4=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 7-4=3
Current State: 66:[69, 3], Operations: ['89-20=69', '7-4=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
27,
87,
23
] | 82 | [
"27+23=50",
"50/10=5",
"87-5=82"
] | Current State: 82:[10, 27, 87, 23], Operations: []
Exploring Operation: 27+23=50, Resulting Numbers: [10, 87, 50]
Generated Node #2: [10, 87, 50] from Operation: 27+23=50
Current State: 82:[10, 87, 50], Operations: ['27+23=50']
Exploring Operation: 50/10=5, Resulting Numbers: [87, 5]
Generated Node #3: [87, 5] from Operation: 50/10=5
Current State: 82:[87, 5], Operations: ['27+23=50', '50/10=5']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
2,
49,
38,
58
] | 80 | [
"49-38=11",
"2*11=22",
"58+22=80"
] | Current State: 80:[2, 49, 38, 58], Operations: []
Exploring Operation: 49-38=11, Resulting Numbers: [2, 58, 11]
Generated Node #2: [2, 58, 11] from Operation: 49-38=11
Current State: 80:[2, 58, 11], Operations: ['49-38=11']
Exploring Operation: 2*11=22, Resulting Numbers: [58, 22]
Generated Node #3: [58, 22] from Operation: 2*11=22
Current State: 80:[58, 22], Operations: ['49-38=11', '2*11=22']
Exploring Operation: 58+22=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
57,
54,
57,
12
] | 41 | [
"57/57=1",
"54-12=42",
"42-1=41"
] | Current State: 41:[57, 54, 57, 12], Operations: []
Exploring Operation: 57/57=1, Resulting Numbers: [54, 12, 1]
Generated Node #2: [54, 12, 1] from Operation: 57/57=1
Current State: 41:[54, 12, 1], Operations: ['57/57=1']
Exploring Operation: 54-12=42, Resulting Numbers: [1, 42]
Generated Node #3: [1, 42] from Operation: 54-12=42
Current State: 41:[1, 42], Operations: ['57/57=1', '54-12=42']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
11,
74,
4,
23
] | 44 | [
"74-11=63",
"23-4=19",
"63-19=44"
] | Current State: 44:[11, 74, 4, 23], Operations: []
Exploring Operation: 74-11=63, Resulting Numbers: [4, 23, 63]
Generated Node #2: [4, 23, 63] from Operation: 74-11=63
Current State: 44:[4, 23, 63], Operations: ['74-11=63']
Exploring Operation: 23-4=19, Resulting Numbers: [63, 19]
Generated Node #3: [63, 19] from Operation: 23-4=19
Current State: 44:[63, 19], Operations: ['74-11=63', '23-4=19']
Exploring Operation: 63-19=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
8,
48,
42,
62
] | 36 | [
"8+48=56",
"62-42=20",
"56-20=36"
] | Current State: 36:[8, 48, 42, 62], Operations: []
Exploring Operation: 8+48=56, Resulting Numbers: [42, 62, 56]
Generated Node #2: [42, 62, 56] from Operation: 8+48=56
Current State: 36:[42, 62, 56], Operations: ['8+48=56']
Exploring Operation: 62-42=20, Resulting Numbers: [56, 20]
Generated Node #3: [56, 20] from Operation: 62-42=20
Current State: 36:[56, 20], Operations: ['8+48=56', '62-42=20']
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
15,
73,
64,
32
] | 71 | [
"73+32=105",
"105/15=7",
"64+7=71"
] | Current State: 71:[15, 73, 64, 32], Operations: []
Exploring Operation: 73+32=105, Resulting Numbers: [15, 64, 105]
Generated Node #2: [15, 64, 105] from Operation: 73+32=105
Current State: 71:[15, 64, 105], Operations: ['73+32=105']
Exploring Operation: 105/15=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 105/15=7
Current State: 71:[64, 7], Operations: ['73+32=105', '105/15=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
9,
69,
3,
81
] | 57 | [
"81/9=9",
"69-3=66",
"66-9=57"
] | Current State: 57:[9, 69, 3, 81], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [69, 3, 9]
Generated Node #2: [69, 3, 9] from Operation: 81/9=9
Current State: 57:[69, 3, 9], Operations: ['81/9=9']
Exploring Operation: 69-3=66, Resulting Numbers: [9, 66]
Generated Node #3: [9, 66] from Operation: 69-3=66
Current State: 57:[9, 66], Operations: ['81/9=9', '69-3=66']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
8,
54,
21,
98
] | 31 | [
"54-8=46",
"98-21=77",
"77-46=31"
] | Current State: 31:[8, 54, 21, 98], Operations: []
Exploring Operation: 54-8=46, Resulting Numbers: [21, 98, 46]
Generated Node #2: [21, 98, 46] from Operation: 54-8=46
Current State: 31:[21, 98, 46], Operations: ['54-8=46']
Exploring Operation: 98-21=77, Resulting Numbers: [46, 77]
Generated Node #3: [46, 77] from Operation: 98-21=77
Current State: 31:[46, 77], Operations: ['54-8=46', '98-21=77']
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
20,
43,
30,
62
] | 95 | [
"20+43=63",
"62-30=32",
"63+32=95"
] | Current State: 95:[20, 43, 30, 62], Operations: []
Exploring Operation: 20+43=63, Resulting Numbers: [30, 62, 63]
Generated Node #2: [30, 62, 63] from Operation: 20+43=63
Current State: 95:[30, 62, 63], Operations: ['20+43=63']
Exploring Operation: 62-30=32, Resulting Numbers: [63, 32]
Generated Node #3: [63, 32] from Operation: 62-30=32
Current State: 95:[63, 32], Operations: ['20+43=63', '62-30=32']
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
58,
91,
29,
66
] | 27 | [
"91-58=33",
"66/33=2",
"29-2=27"
] | Current State: 27:[58, 91, 29, 66], Operations: []
Exploring Operation: 91-58=33, Resulting Numbers: [29, 66, 33]
Generated Node #2: [29, 66, 33] from Operation: 91-58=33
Current State: 27:[29, 66, 33], Operations: ['91-58=33']
Exploring Operation: 66/33=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 66/33=2
Current State: 27:[29, 2], Operations: ['91-58=33', '66/33=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
23,
46,
2,
3
] | 18 | [
"46-23=23",
"2+3=5",
"23-5=18"
] | Current State: 18:[23, 46, 2, 3], Operations: []
Exploring Operation: 46-23=23, Resulting Numbers: [2, 3, 23]
Generated Node #2: [2, 3, 23] from Operation: 46-23=23
Current State: 18:[2, 3, 23], Operations: ['46-23=23']
Exploring Operation: 2+3=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 2+3=5
Current State: 18:[23, 5], Operations: ['46-23=23', '2+3=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
51,
99,
33,
23
] | 25 | [
"51-23=28",
"99/33=3",
"28-3=25"
] | Current State: 25:[51, 99, 33, 23], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [99, 33, 28]
Generated Node #2: [99, 33, 28] from Operation: 51-23=28
Current State: 25:[99, 33, 28], Operations: ['51-23=28']
Exploring Operation: 99/33=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 99/33=3
Current State: 25:[28, 3], Operations: ['51-23=28', '99/33=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
20,
13,
22,
67
] | 26 | [
"13+67=80",
"80/20=4",
"22+4=26"
] | Current State: 26:[20, 13, 22, 67], Operations: []
Exploring Operation: 13+67=80, Resulting Numbers: [20, 22, 80]
Generated Node #2: [20, 22, 80] from Operation: 13+67=80
Current State: 26:[20, 22, 80], Operations: ['13+67=80']
Exploring Operation: 80/20=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 80/20=4
Current State: 26:[22, 4], Operations: ['13+67=80', '80/20=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
50,
22,
14,
2
] | 20 | [
"50+14=64",
"22*2=44",
"64-44=20"
] | Current State: 20:[50, 22, 14, 2], Operations: []
Exploring Operation: 50+14=64, Resulting Numbers: [22, 2, 64]
Generated Node #2: [22, 2, 64] from Operation: 50+14=64
Current State: 20:[22, 2, 64], Operations: ['50+14=64']
Exploring Operation: 22*2=44, Resulting Numbers: [64, 44]
Generated Node #3: [64, 44] from Operation: 22*2=44
Current State: 20:[64, 44], Operations: ['50+14=64', '22*2=44']
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
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