nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
17,
51,
15,
89
] | 76 | [
"17-15=2",
"89-51=38",
"2*38=76"
] | Current State: 76:[17, 51, 15, 89], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [51, 89, 2]
Generated Node #2: [51, 89, 2] from Operation: 17-15=2
Current State: 76:[51, 89, 2], Operations: ['17-15=2']
Exploring Operation: 89-51=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 89-51=38
Current State: 76:[2, 38], Operations: ['17-15=2', '89-51=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
4,
63,
1,
34
] | 25 | [
"63-4=59",
"1*34=34",
"59-34=25"
] | Current State: 25:[4, 63, 1, 34], Operations: []
Exploring Operation: 63-4=59, Resulting Numbers: [1, 34, 59]
Generated Node #2: [1, 34, 59] from Operation: 63-4=59
Current State: 25:[1, 34, 59], Operations: ['63-4=59']
Exploring Operation: 1*34=34, Resulting Numbers: [59, 34]
Generated Node #3: [59, 34] from Operation: 1*34=34
Current State: 25:[59, 34], Operations: ['63-4=59', '1*34=34']
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
90,
4,
42,
97
] | 53 | [
"90-4=86",
"42+97=139",
"139-86=53"
] | Current State: 53:[90, 4, 42, 97], Operations: []
Exploring Operation: 90-4=86, Resulting Numbers: [42, 97, 86]
Generated Node #2: [42, 97, 86] from Operation: 90-4=86
Current State: 53:[42, 97, 86], Operations: ['90-4=86']
Exploring Operation: 42+97=139, Resulting Numbers: [86, 139]
Generated Node #3: [86, 139] from Operation: 42+97=139
Current State: 53:[86, 139], Operations: ['90-4=86', '42+97=139']
Exploring Operation: 139-86=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
61,
26,
11,
14
] | 80 | [
"61*14=854",
"26+854=880",
"880/11=80"
] | Current State: 80:[61, 26, 11, 14], Operations: []
Exploring Operation: 61*14=854, Resulting Numbers: [26, 11, 854]
Generated Node #2: [26, 11, 854] from Operation: 61*14=854
Current State: 80:[26, 11, 854], Operations: ['61*14=854']
Exploring Operation: 26+854=880, Resulting Numbers: [11, 880]
Generated Node #3: [11, 880] from Operation: 26+854=880
Current State: 80:[11, 880], Operations: ['61*14=854', '26+854=880']
Exploring Operation: 880/11=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
24,
3,
8,
26
] | 55 | [
"24-3=21",
"8+26=34",
"21+34=55"
] | Current State: 55:[24, 3, 8, 26], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [8, 26, 21]
Generated Node #2: [8, 26, 21] from Operation: 24-3=21
Current State: 55:[8, 26, 21], Operations: ['24-3=21']
Exploring Operation: 8+26=34, Resulting Numbers: [21, 34]
Generated Node #3: [21, 34] from Operation: 8+26=34
Current State: 55:[21, 34], Operations: ['24-3=21', '8+26=34']
Exploring Operation: 21+34=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
52,
35,
99,
97
] | 18 | [
"99-97=2",
"35*2=70",
"70-52=18"
] | Current State: 18:[52, 35, 99, 97], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [52, 35, 2]
Generated Node #2: [52, 35, 2] from Operation: 99-97=2
Current State: 18:[52, 35, 2], Operations: ['99-97=2']
Exploring Operation: 35*2=70, Resulting Numbers: [52, 70]
Generated Node #3: [52, 70] from Operation: 35*2=70
Current State: 18:[52, 70], Operations: ['99-97=2', '35*2=70']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
26,
48,
49,
79
] | 44 | [
"26+48=74",
"79-49=30",
"74-30=44"
] | Current State: 44:[26, 48, 49, 79], Operations: []
Exploring Operation: 26+48=74, Resulting Numbers: [49, 79, 74]
Generated Node #2: [49, 79, 74] from Operation: 26+48=74
Current State: 44:[49, 79, 74], Operations: ['26+48=74']
Exploring Operation: 79-49=30, Resulting Numbers: [74, 30]
Generated Node #3: [74, 30] from Operation: 79-49=30
Current State: 44:[74, 30], Operations: ['26+48=74', '79-49=30']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
48,
86,
8,
70
] | 90 | [
"70-48=22",
"8*22=176",
"176-86=90"
] | Current State: 90:[48, 86, 8, 70], Operations: []
Exploring Operation: 70-48=22, Resulting Numbers: [86, 8, 22]
Generated Node #2: [86, 8, 22] from Operation: 70-48=22
Current State: 90:[86, 8, 22], Operations: ['70-48=22']
Exploring Operation: 8*22=176, Resulting Numbers: [86, 176]
Generated Node #3: [86, 176] from Operation: 8*22=176
Current State: 90:[86, 176], Operations: ['70-48=22', '8*22=176']
Exploring Operation: 176-86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
48,
90,
40,
17
] | 15 | [
"90-48=42",
"40+17=57",
"57-42=15"
] | Current State: 15:[48, 90, 40, 17], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [40, 17, 42]
Generated Node #2: [40, 17, 42] from Operation: 90-48=42
Current State: 15:[40, 17, 42], Operations: ['90-48=42']
Exploring Operation: 40+17=57, Resulting Numbers: [42, 57]
Generated Node #3: [42, 57] from Operation: 40+17=57
Current State: 15:[42, 57], Operations: ['90-48=42', '40+17=57']
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
5,
50,
79,
7
] | 62 | [
"50/5=10",
"79-7=72",
"72-10=62"
] | Current State: 62:[5, 50, 79, 7], Operations: []
Exploring Operation: 50/5=10, Resulting Numbers: [79, 7, 10]
Generated Node #2: [79, 7, 10] from Operation: 50/5=10
Current State: 62:[79, 7, 10], Operations: ['50/5=10']
Exploring Operation: 79-7=72, Resulting Numbers: [10, 72]
Generated Node #3: [10, 72] from Operation: 79-7=72
Current State: 62:[10, 72], Operations: ['50/5=10', '79-7=72']
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
97,
12,
19,
73
] | 38 | [
"97-73=24",
"24/12=2",
"19*2=38"
] | Current State: 38:[97, 12, 19, 73], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [12, 19, 24]
Generated Node #2: [12, 19, 24] from Operation: 97-73=24
Current State: 38:[12, 19, 24], Operations: ['97-73=24']
Exploring Operation: 24/12=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 24/12=2
Current State: 38:[19, 2], Operations: ['97-73=24', '24/12=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
30,
48,
7,
25
] | 33 | [
"48*25=1200",
"1200/30=40",
"40-7=33"
] | Current State: 33:[30, 48, 7, 25], Operations: []
Exploring Operation: 48*25=1200, Resulting Numbers: [30, 7, 1200]
Generated Node #2: [30, 7, 1200] from Operation: 48*25=1200
Current State: 33:[30, 7, 1200], Operations: ['48*25=1200']
Exploring Operation: 1200/30=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 1200/30=40
Current State: 33:[7, 40], Operations: ['48*25=1200', '1200/30=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
63,
78,
49,
6
] | 27 | [
"63-49=14",
"78/6=13",
"14+13=27"
] | Current State: 27:[63, 78, 49, 6], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [78, 6, 14]
Generated Node #2: [78, 6, 14] from Operation: 63-49=14
Current State: 27:[78, 6, 14], Operations: ['63-49=14']
Exploring Operation: 78/6=13, Resulting Numbers: [14, 13]
Generated Node #3: [14, 13] from Operation: 78/6=13
Current State: 27:[14, 13], Operations: ['63-49=14', '78/6=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
69,
57,
78,
15
] | 81 | [
"69-57=12",
"78+15=93",
"93-12=81"
] | Current State: 81:[69, 57, 78, 15], Operations: []
Exploring Operation: 69-57=12, Resulting Numbers: [78, 15, 12]
Generated Node #2: [78, 15, 12] from Operation: 69-57=12
Current State: 81:[78, 15, 12], Operations: ['69-57=12']
Exploring Operation: 78+15=93, Resulting Numbers: [12, 93]
Generated Node #3: [12, 93] from Operation: 78+15=93
Current State: 81:[12, 93], Operations: ['69-57=12', '78+15=93']
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
31,
13,
74,
54
] | 38 | [
"31-13=18",
"74-54=20",
"18+20=38"
] | Current State: 38:[31, 13, 74, 54], Operations: []
Exploring Operation: 31-13=18, Resulting Numbers: [74, 54, 18]
Generated Node #2: [74, 54, 18] from Operation: 31-13=18
Current State: 38:[74, 54, 18], Operations: ['31-13=18']
Exploring Operation: 74-54=20, Resulting Numbers: [18, 20]
Generated Node #3: [18, 20] from Operation: 74-54=20
Current State: 38:[18, 20], Operations: ['31-13=18', '74-54=20']
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
9,
77,
21,
51
] | 28 | [
"77-9=68",
"21*68=1428",
"1428/51=28"
] | Current State: 28:[9, 77, 21, 51], Operations: []
Exploring Operation: 77-9=68, Resulting Numbers: [21, 51, 68]
Generated Node #2: [21, 51, 68] from Operation: 77-9=68
Current State: 28:[21, 51, 68], Operations: ['77-9=68']
Exploring Operation: 21*68=1428, Resulting Numbers: [51, 1428]
Generated Node #3: [51, 1428] from Operation: 21*68=1428
Current State: 28:[51, 1428], Operations: ['77-9=68', '21*68=1428']
Exploring Operation: 1428/51=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
16,
70,
9,
2
] | 36 | [
"70-16=54",
"9*2=18",
"54-18=36"
] | Current State: 36:[16, 70, 9, 2], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [9, 2, 54]
Generated Node #2: [9, 2, 54] from Operation: 70-16=54
Current State: 36:[9, 2, 54], Operations: ['70-16=54']
Exploring Operation: 9*2=18, Resulting Numbers: [54, 18]
Generated Node #3: [54, 18] from Operation: 9*2=18
Current State: 36:[54, 18], Operations: ['70-16=54', '9*2=18']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
1,
98,
18,
92
] | 23 | [
"98-1=97",
"92-18=74",
"97-74=23"
] | Current State: 23:[1, 98, 18, 92], Operations: []
Exploring Operation: 98-1=97, Resulting Numbers: [18, 92, 97]
Generated Node #2: [18, 92, 97] from Operation: 98-1=97
Current State: 23:[18, 92, 97], Operations: ['98-1=97']
Exploring Operation: 92-18=74, Resulting Numbers: [97, 74]
Generated Node #3: [97, 74] from Operation: 92-18=74
Current State: 23:[97, 74], Operations: ['98-1=97', '92-18=74']
Exploring Operation: 97-74=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
56,
3,
52,
36
] | 75 | [
"56+3=59",
"52-36=16",
"59+16=75"
] | Current State: 75:[56, 3, 52, 36], Operations: []
Exploring Operation: 56+3=59, Resulting Numbers: [52, 36, 59]
Generated Node #2: [52, 36, 59] from Operation: 56+3=59
Current State: 75:[52, 36, 59], Operations: ['56+3=59']
Exploring Operation: 52-36=16, Resulting Numbers: [59, 16]
Generated Node #3: [59, 16] from Operation: 52-36=16
Current State: 75:[59, 16], Operations: ['56+3=59', '52-36=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
58,
38,
2,
64
] | 50 | [
"64-58=6",
"2*6=12",
"38+12=50"
] | Current State: 50:[58, 38, 2, 64], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [38, 2, 6]
Generated Node #2: [38, 2, 6] from Operation: 64-58=6
Current State: 50:[38, 2, 6], Operations: ['64-58=6']
Exploring Operation: 2*6=12, Resulting Numbers: [38, 12]
Generated Node #3: [38, 12] from Operation: 2*6=12
Current State: 50:[38, 12], Operations: ['64-58=6', '2*6=12']
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
96,
19,
2,
25
] | 100 | [
"96-19=77",
"25-2=23",
"77+23=100"
] | Current State: 100:[96, 19, 2, 25], Operations: []
Exploring Operation: 96-19=77, Resulting Numbers: [2, 25, 77]
Generated Node #2: [2, 25, 77] from Operation: 96-19=77
Current State: 100:[2, 25, 77], Operations: ['96-19=77']
Exploring Operation: 25-2=23, Resulting Numbers: [77, 23]
Generated Node #3: [77, 23] from Operation: 25-2=23
Current State: 100:[77, 23], Operations: ['96-19=77', '25-2=23']
Exploring Operation: 77+23=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
41,
6,
26,
29
] | 32 | [
"41-6=35",
"29-26=3",
"35-3=32"
] | Current State: 32:[41, 6, 26, 29], Operations: []
Exploring Operation: 41-6=35, Resulting Numbers: [26, 29, 35]
Generated Node #2: [26, 29, 35] from Operation: 41-6=35
Current State: 32:[26, 29, 35], Operations: ['41-6=35']
Exploring Operation: 29-26=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 29-26=3
Current State: 32:[35, 3], Operations: ['41-6=35', '29-26=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
83,
62,
16,
6
] | 35 | [
"83*6=498",
"62+498=560",
"560/16=35"
] | Current State: 35:[83, 62, 16, 6], Operations: []
Exploring Operation: 83*6=498, Resulting Numbers: [62, 16, 498]
Generated Node #2: [62, 16, 498] from Operation: 83*6=498
Current State: 35:[62, 16, 498], Operations: ['83*6=498']
Exploring Operation: 62+498=560, Resulting Numbers: [16, 560]
Generated Node #3: [16, 560] from Operation: 62+498=560
Current State: 35:[16, 560], Operations: ['83*6=498', '62+498=560']
Exploring Operation: 560/16=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
35,
61,
37,
33
] | 59 | [
"37+33=70",
"70/35=2",
"61-2=59"
] | Current State: 59:[35, 61, 37, 33], Operations: []
Exploring Operation: 37+33=70, Resulting Numbers: [35, 61, 70]
Generated Node #2: [35, 61, 70] from Operation: 37+33=70
Current State: 59:[35, 61, 70], Operations: ['37+33=70']
Exploring Operation: 70/35=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 70/35=2
Current State: 59:[61, 2], Operations: ['37+33=70', '70/35=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
8,
7,
54,
3
] | 52 | [
"8-7=1",
"54-3=51",
"1+51=52"
] | Current State: 52:[8, 7, 54, 3], Operations: []
Exploring Operation: 8-7=1, Resulting Numbers: [54, 3, 1]
Generated Node #2: [54, 3, 1] from Operation: 8-7=1
Current State: 52:[54, 3, 1], Operations: ['8-7=1']
Exploring Operation: 54-3=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 54-3=51
Current State: 52:[1, 51], Operations: ['8-7=1', '54-3=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
2,
6,
4,
51
] | 19 | [
"2+6=8",
"4*8=32",
"51-32=19"
] | Current State: 19:[2, 6, 4, 51], Operations: []
Exploring Operation: 2+6=8, Resulting Numbers: [4, 51, 8]
Generated Node #2: [4, 51, 8] from Operation: 2+6=8
Current State: 19:[4, 51, 8], Operations: ['2+6=8']
Exploring Operation: 4*8=32, Resulting Numbers: [51, 32]
Generated Node #3: [51, 32] from Operation: 4*8=32
Current State: 19:[51, 32], Operations: ['2+6=8', '4*8=32']
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
75,
77,
57,
19
] | 38 | [
"77-75=2",
"57+19=76",
"76/2=38"
] | Current State: 38:[75, 77, 57, 19], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [57, 19, 2]
Generated Node #2: [57, 19, 2] from Operation: 77-75=2
Current State: 38:[57, 19, 2], Operations: ['77-75=2']
Exploring Operation: 57+19=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 57+19=76
Current State: 38:[2, 76], Operations: ['77-75=2', '57+19=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
26,
4,
59,
64
] | 99 | [
"26*4=104",
"64-59=5",
"104-5=99"
] | Current State: 99:[26, 4, 59, 64], Operations: []
Exploring Operation: 26*4=104, Resulting Numbers: [59, 64, 104]
Generated Node #2: [59, 64, 104] from Operation: 26*4=104
Current State: 99:[59, 64, 104], Operations: ['26*4=104']
Exploring Operation: 64-59=5, Resulting Numbers: [104, 5]
Generated Node #3: [104, 5] from Operation: 64-59=5
Current State: 99:[104, 5], Operations: ['26*4=104', '64-59=5']
Exploring Operation: 104-5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
89,
35,
43,
80
] | 91 | [
"89-35=54",
"80-43=37",
"54+37=91"
] | Current State: 91:[89, 35, 43, 80], Operations: []
Exploring Operation: 89-35=54, Resulting Numbers: [43, 80, 54]
Generated Node #2: [43, 80, 54] from Operation: 89-35=54
Current State: 91:[43, 80, 54], Operations: ['89-35=54']
Exploring Operation: 80-43=37, Resulting Numbers: [54, 37]
Generated Node #3: [54, 37] from Operation: 80-43=37
Current State: 91:[54, 37], Operations: ['89-35=54', '80-43=37']
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
4,
56,
90,
59
] | 78 | [
"59-56=3",
"4*3=12",
"90-12=78"
] | Current State: 78:[4, 56, 90, 59], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [4, 90, 3]
Generated Node #2: [4, 90, 3] from Operation: 59-56=3
Current State: 78:[4, 90, 3], Operations: ['59-56=3']
Exploring Operation: 4*3=12, Resulting Numbers: [90, 12]
Generated Node #3: [90, 12] from Operation: 4*3=12
Current State: 78:[90, 12], Operations: ['59-56=3', '4*3=12']
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
29,
6,
12,
2
] | 28 | [
"29-12=17",
"2*17=34",
"34-6=28"
] | Current State: 28:[29, 6, 12, 2], Operations: []
Exploring Operation: 29-12=17, Resulting Numbers: [6, 2, 17]
Generated Node #2: [6, 2, 17] from Operation: 29-12=17
Current State: 28:[6, 2, 17], Operations: ['29-12=17']
Exploring Operation: 2*17=34, Resulting Numbers: [6, 34]
Generated Node #3: [6, 34] from Operation: 2*17=34
Current State: 28:[6, 34], Operations: ['29-12=17', '2*17=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
27,
30,
29,
9
] | 51 | [
"29-27=2",
"30*2=60",
"60-9=51"
] | Current State: 51:[27, 30, 29, 9], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [30, 9, 2]
Generated Node #2: [30, 9, 2] from Operation: 29-27=2
Current State: 51:[30, 9, 2], Operations: ['29-27=2']
Exploring Operation: 30*2=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 30*2=60
Current State: 51:[9, 60], Operations: ['29-27=2', '30*2=60']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
79,
6,
78,
72
] | 78 | [
"79-6=73",
"73-72=1",
"78*1=78"
] | Current State: 78:[79, 6, 78, 72], Operations: []
Exploring Operation: 79-6=73, Resulting Numbers: [78, 72, 73]
Generated Node #2: [78, 72, 73] from Operation: 79-6=73
Current State: 78:[78, 72, 73], Operations: ['79-6=73']
Exploring Operation: 73-72=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 73-72=1
Current State: 78:[78, 1], Operations: ['79-6=73', '73-72=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
24,
17,
25
] | 20 | [
"24-12=12",
"25-17=8",
"12+8=20"
] | Current State: 20:[12, 24, 17, 25], Operations: []
Exploring Operation: 24-12=12, Resulting Numbers: [17, 25, 12]
Generated Node #2: [17, 25, 12] from Operation: 24-12=12
Current State: 20:[17, 25, 12], Operations: ['24-12=12']
Exploring Operation: 25-17=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 25-17=8
Current State: 20:[12, 8], Operations: ['24-12=12', '25-17=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
78,
71,
91
] | 69 | [
"11+78=89",
"91-71=20",
"89-20=69"
] | Current State: 69:[11, 78, 71, 91], Operations: []
Exploring Operation: 11+78=89, Resulting Numbers: [71, 91, 89]
Generated Node #2: [71, 91, 89] from Operation: 11+78=89
Current State: 69:[71, 91, 89], Operations: ['11+78=89']
Exploring Operation: 91-71=20, Resulting Numbers: [89, 20]
Generated Node #3: [89, 20] from Operation: 91-71=20
Current State: 69:[89, 20], Operations: ['11+78=89', '91-71=20']
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
97,
85,
49,
50
] | 83 | [
"97+85=182",
"49+50=99",
"182-99=83"
] | Current State: 83:[97, 85, 49, 50], Operations: []
Exploring Operation: 97+85=182, Resulting Numbers: [49, 50, 182]
Generated Node #2: [49, 50, 182] from Operation: 97+85=182
Current State: 83:[49, 50, 182], Operations: ['97+85=182']
Exploring Operation: 49+50=99, Resulting Numbers: [182, 99]
Generated Node #3: [182, 99] from Operation: 49+50=99
Current State: 83:[182, 99], Operations: ['97+85=182', '49+50=99']
Exploring Operation: 182-99=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
61,
56,
25,
66
] | 71 | [
"61-56=5",
"25/5=5",
"66+5=71"
] | Current State: 71:[61, 56, 25, 66], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [25, 66, 5]
Generated Node #2: [25, 66, 5] from Operation: 61-56=5
Current State: 71:[25, 66, 5], Operations: ['61-56=5']
Exploring Operation: 25/5=5, Resulting Numbers: [66, 5]
Generated Node #3: [66, 5] from Operation: 25/5=5
Current State: 71:[66, 5], Operations: ['61-56=5', '25/5=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
31,
10,
67,
62
] | 59 | [
"62/31=2",
"67-10=57",
"2+57=59"
] | Current State: 59:[31, 10, 67, 62], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [10, 67, 2]
Generated Node #2: [10, 67, 2] from Operation: 62/31=2
Current State: 59:[10, 67, 2], Operations: ['62/31=2']
Exploring Operation: 67-10=57, Resulting Numbers: [2, 57]
Generated Node #3: [2, 57] from Operation: 67-10=57
Current State: 59:[2, 57], Operations: ['62/31=2', '67-10=57']
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
44,
13,
15,
57
] | 94 | [
"44+57=101",
"13*15=195",
"195-101=94"
] | Current State: 94:[44, 13, 15, 57], Operations: []
Exploring Operation: 44+57=101, Resulting Numbers: [13, 15, 101]
Generated Node #2: [13, 15, 101] from Operation: 44+57=101
Current State: 94:[13, 15, 101], Operations: ['44+57=101']
Exploring Operation: 13*15=195, Resulting Numbers: [101, 195]
Generated Node #3: [101, 195] from Operation: 13*15=195
Current State: 94:[101, 195], Operations: ['44+57=101', '13*15=195']
Exploring Operation: 195-101=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
55,
3,
38,
58
] | 72 | [
"55-3=52",
"58-38=20",
"52+20=72"
] | Current State: 72:[55, 3, 38, 58], Operations: []
Exploring Operation: 55-3=52, Resulting Numbers: [38, 58, 52]
Generated Node #2: [38, 58, 52] from Operation: 55-3=52
Current State: 72:[38, 58, 52], Operations: ['55-3=52']
Exploring Operation: 58-38=20, Resulting Numbers: [52, 20]
Generated Node #3: [52, 20] from Operation: 58-38=20
Current State: 72:[52, 20], Operations: ['55-3=52', '58-38=20']
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
59,
87,
19,
31
] | 40 | [
"87-59=28",
"31-19=12",
"28+12=40"
] | Current State: 40:[59, 87, 19, 31], Operations: []
Exploring Operation: 87-59=28, Resulting Numbers: [19, 31, 28]
Generated Node #2: [19, 31, 28] from Operation: 87-59=28
Current State: 40:[19, 31, 28], Operations: ['87-59=28']
Exploring Operation: 31-19=12, Resulting Numbers: [28, 12]
Generated Node #3: [28, 12] from Operation: 31-19=12
Current State: 40:[28, 12], Operations: ['87-59=28', '31-19=12']
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
28,
22,
77,
99
] | 14 | [
"28*99=2772",
"2772/77=36",
"36-22=14"
] | Current State: 14:[28, 22, 77, 99], Operations: []
Exploring Operation: 28*99=2772, Resulting Numbers: [22, 77, 2772]
Generated Node #2: [22, 77, 2772] from Operation: 28*99=2772
Current State: 14:[22, 77, 2772], Operations: ['28*99=2772']
Exploring Operation: 2772/77=36, Resulting Numbers: [22, 36]
Generated Node #3: [22, 36] from Operation: 2772/77=36
Current State: 14:[22, 36], Operations: ['28*99=2772', '2772/77=36']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
21,
12,
95,
99
] | 63 | [
"21*12=252",
"99-95=4",
"252/4=63"
] | Current State: 63:[21, 12, 95, 99], Operations: []
Exploring Operation: 21*12=252, Resulting Numbers: [95, 99, 252]
Generated Node #2: [95, 99, 252] from Operation: 21*12=252
Current State: 63:[95, 99, 252], Operations: ['21*12=252']
Exploring Operation: 99-95=4, Resulting Numbers: [252, 4]
Generated Node #3: [252, 4] from Operation: 99-95=4
Current State: 63:[252, 4], Operations: ['21*12=252', '99-95=4']
Exploring Operation: 252/4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
59,
54,
37,
90
] | 95 | [
"59-54=5",
"37*5=185",
"185-90=95"
] | Current State: 95:[59, 54, 37, 90], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [37, 90, 5]
Generated Node #2: [37, 90, 5] from Operation: 59-54=5
Current State: 95:[37, 90, 5], Operations: ['59-54=5']
Exploring Operation: 37*5=185, Resulting Numbers: [90, 185]
Generated Node #3: [90, 185] from Operation: 37*5=185
Current State: 95:[90, 185], Operations: ['59-54=5', '37*5=185']
Exploring Operation: 185-90=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
48,
7,
9,
6
] | 90 | [
"7*9=63",
"63-48=15",
"6*15=90"
] | Current State: 90:[48, 7, 9, 6], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [48, 6, 63]
Generated Node #2: [48, 6, 63] from Operation: 7*9=63
Current State: 90:[48, 6, 63], Operations: ['7*9=63']
Exploring Operation: 63-48=15, Resulting Numbers: [6, 15]
Generated Node #3: [6, 15] from Operation: 63-48=15
Current State: 90:[6, 15], Operations: ['7*9=63', '63-48=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
25,
9,
5,
20
] | 70 | [
"25+9=34",
"34-20=14",
"5*14=70"
] | Current State: 70:[25, 9, 5, 20], Operations: []
Exploring Operation: 25+9=34, Resulting Numbers: [5, 20, 34]
Generated Node #2: [5, 20, 34] from Operation: 25+9=34
Current State: 70:[5, 20, 34], Operations: ['25+9=34']
Exploring Operation: 34-20=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 34-20=14
Current State: 70:[5, 14], Operations: ['25+9=34', '34-20=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
32,
57,
74,
82
] | 97 | [
"32+57=89",
"82-74=8",
"89+8=97"
] | Current State: 97:[32, 57, 74, 82], Operations: []
Exploring Operation: 32+57=89, Resulting Numbers: [74, 82, 89]
Generated Node #2: [74, 82, 89] from Operation: 32+57=89
Current State: 97:[74, 82, 89], Operations: ['32+57=89']
Exploring Operation: 82-74=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 82-74=8
Current State: 97:[89, 8], Operations: ['32+57=89', '82-74=8']
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
70,
1,
81,
98
] | 86 | [
"70-1=69",
"98-81=17",
"69+17=86"
] | Current State: 86:[70, 1, 81, 98], Operations: []
Exploring Operation: 70-1=69, Resulting Numbers: [81, 98, 69]
Generated Node #2: [81, 98, 69] from Operation: 70-1=69
Current State: 86:[81, 98, 69], Operations: ['70-1=69']
Exploring Operation: 98-81=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 98-81=17
Current State: 86:[69, 17], Operations: ['70-1=69', '98-81=17']
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
17,
7,
5,
85
] | 40 | [
"85/17=5",
"7*5=35",
"5+35=40"
] | Current State: 40:[17, 7, 5, 85], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [7, 5, 5]
Generated Node #2: [7, 5, 5] from Operation: 85/17=5
Current State: 40:[7, 5, 5], Operations: ['85/17=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,40 equal: Goal Reached
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
19,
76,
17,
72
] | 80 | [
"19-17=2",
"76*2=152",
"152-72=80"
] | Current State: 80:[19, 76, 17, 72], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [76, 72, 2]
Generated Node #2: [76, 72, 2] from Operation: 19-17=2
Current State: 80:[76, 72, 2], Operations: ['19-17=2']
Exploring Operation: 76*2=152, Resulting Numbers: [72, 152]
Generated Node #3: [72, 152] from Operation: 76*2=152
Current State: 80:[72, 152], Operations: ['19-17=2', '76*2=152']
Exploring Operation: 152-72=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
50,
67,
87,
1
] | 31 | [
"50+67=117",
"87-1=86",
"117-86=31"
] | Current State: 31:[50, 67, 87, 1], Operations: []
Exploring Operation: 50+67=117, Resulting Numbers: [87, 1, 117]
Generated Node #2: [87, 1, 117] from Operation: 50+67=117
Current State: 31:[87, 1, 117], Operations: ['50+67=117']
Exploring Operation: 87-1=86, Resulting Numbers: [117, 86]
Generated Node #3: [117, 86] from Operation: 87-1=86
Current State: 31:[117, 86], Operations: ['50+67=117', '87-1=86']
Exploring Operation: 117-86=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
82,
27,
14,
98
] | 100 | [
"27+14=41",
"82/41=2",
"98+2=100"
] | Current State: 100:[82, 27, 14, 98], Operations: []
Exploring Operation: 27+14=41, Resulting Numbers: [82, 98, 41]
Generated Node #2: [82, 98, 41] from Operation: 27+14=41
Current State: 100:[82, 98, 41], Operations: ['27+14=41']
Exploring Operation: 82/41=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 82/41=2
Current State: 100:[98, 2], Operations: ['27+14=41', '82/41=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
41,
13,
12,
20
] | 64 | [
"41*20=820",
"12+820=832",
"832/13=64"
] | Current State: 64:[41, 13, 12, 20], Operations: []
Exploring Operation: 41*20=820, Resulting Numbers: [13, 12, 820]
Generated Node #2: [13, 12, 820] from Operation: 41*20=820
Current State: 64:[13, 12, 820], Operations: ['41*20=820']
Exploring Operation: 12+820=832, Resulting Numbers: [13, 832]
Generated Node #3: [13, 832] from Operation: 12+820=832
Current State: 64:[13, 832], Operations: ['41*20=820', '12+820=832']
Exploring Operation: 832/13=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
42,
90,
18,
28
] | 94 | [
"90-42=48",
"18+28=46",
"48+46=94"
] | Current State: 94:[42, 90, 18, 28], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [18, 28, 48]
Generated Node #2: [18, 28, 48] from Operation: 90-42=48
Current State: 94:[18, 28, 48], Operations: ['90-42=48']
Exploring Operation: 18+28=46, Resulting Numbers: [48, 46]
Generated Node #3: [48, 46] from Operation: 18+28=46
Current State: 94:[48, 46], Operations: ['90-42=48', '18+28=46']
Exploring Operation: 48+46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
53,
23,
80,
61
] | 13 | [
"61-53=8",
"80/8=10",
"23-10=13"
] | Current State: 13:[53, 23, 80, 61], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [23, 80, 8]
Generated Node #2: [23, 80, 8] from Operation: 61-53=8
Current State: 13:[23, 80, 8], Operations: ['61-53=8']
Exploring Operation: 80/8=10, Resulting Numbers: [23, 10]
Generated Node #3: [23, 10] from Operation: 80/8=10
Current State: 13:[23, 10], Operations: ['61-53=8', '80/8=10']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
51,
8,
62,
84
] | 65 | [
"51-8=43",
"84-62=22",
"43+22=65"
] | Current State: 65:[51, 8, 62, 84], Operations: []
Exploring Operation: 51-8=43, Resulting Numbers: [62, 84, 43]
Generated Node #2: [62, 84, 43] from Operation: 51-8=43
Current State: 65:[62, 84, 43], Operations: ['51-8=43']
Exploring Operation: 84-62=22, Resulting Numbers: [43, 22]
Generated Node #3: [43, 22] from Operation: 84-62=22
Current State: 65:[43, 22], Operations: ['51-8=43', '84-62=22']
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
13,
51,
9,
85
] | 83 | [
"13*9=117",
"85-51=34",
"117-34=83"
] | Current State: 83:[13, 51, 9, 85], Operations: []
Exploring Operation: 13*9=117, Resulting Numbers: [51, 85, 117]
Generated Node #2: [51, 85, 117] from Operation: 13*9=117
Current State: 83:[51, 85, 117], Operations: ['13*9=117']
Exploring Operation: 85-51=34, Resulting Numbers: [117, 34]
Generated Node #3: [117, 34] from Operation: 85-51=34
Current State: 83:[117, 34], Operations: ['13*9=117', '85-51=34']
Exploring Operation: 117-34=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
16,
39,
12,
61
] | 25 | [
"16-12=4",
"39+61=100",
"100/4=25"
] | Current State: 25:[16, 39, 12, 61], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [39, 61, 4]
Generated Node #2: [39, 61, 4] from Operation: 16-12=4
Current State: 25:[39, 61, 4], Operations: ['16-12=4']
Exploring Operation: 39+61=100, Resulting Numbers: [4, 100]
Generated Node #3: [4, 100] from Operation: 39+61=100
Current State: 25:[4, 100], Operations: ['16-12=4', '39+61=100']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
44,
69,
22,
56
] | 53 | [
"69-44=25",
"22+56=78",
"78-25=53"
] | Current State: 53:[44, 69, 22, 56], Operations: []
Exploring Operation: 69-44=25, Resulting Numbers: [22, 56, 25]
Generated Node #2: [22, 56, 25] from Operation: 69-44=25
Current State: 53:[22, 56, 25], Operations: ['69-44=25']
Exploring Operation: 22+56=78, Resulting Numbers: [25, 78]
Generated Node #3: [25, 78] from Operation: 22+56=78
Current State: 53:[25, 78], Operations: ['69-44=25', '22+56=78']
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
52,
94,
62,
47
] | 83 | [
"94/47=2",
"62/2=31",
"52+31=83"
] | Current State: 83:[52, 94, 62, 47], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [52, 62, 2]
Generated Node #2: [52, 62, 2] from Operation: 94/47=2
Current State: 83:[52, 62, 2], Operations: ['94/47=2']
Exploring Operation: 62/2=31, Resulting Numbers: [52, 31]
Generated Node #3: [52, 31] from Operation: 62/2=31
Current State: 83:[52, 31], Operations: ['94/47=2', '62/2=31']
Exploring Operation: 52+31=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
71,
25,
50,
58
] | 88 | [
"71+25=96",
"58-50=8",
"96-8=88"
] | Current State: 88:[71, 25, 50, 58], Operations: []
Exploring Operation: 71+25=96, Resulting Numbers: [50, 58, 96]
Generated Node #2: [50, 58, 96] from Operation: 71+25=96
Current State: 88:[50, 58, 96], Operations: ['71+25=96']
Exploring Operation: 58-50=8, Resulting Numbers: [96, 8]
Generated Node #3: [96, 8] from Operation: 58-50=8
Current State: 88:[96, 8], Operations: ['71+25=96', '58-50=8']
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
53,
63,
32,
73
] | 30 | [
"53+73=126",
"126/63=2",
"32-2=30"
] | Current State: 30:[53, 63, 32, 73], Operations: []
Exploring Operation: 53+73=126, Resulting Numbers: [63, 32, 126]
Generated Node #2: [63, 32, 126] from Operation: 53+73=126
Current State: 30:[63, 32, 126], Operations: ['53+73=126']
Exploring Operation: 126/63=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 126/63=2
Current State: 30:[32, 2], Operations: ['53+73=126', '126/63=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
57,
22,
57,
27
] | 22 | [
"57-57=0",
"27*0=0",
"22+0=22"
] | Current State: 22:[57, 22, 57, 27], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [22, 27, 0]
Generated Node #2: [22, 27, 0] from Operation: 57-57=0
Current State: 22:[22, 27, 0], Operations: ['57-57=0']
Exploring Operation: 27*0=0, Resulting Numbers: [22, 0]
Generated Node #3: [22, 0] from Operation: 27*0=0
Current State: 22:[22, 0], Operations: ['57-57=0', '27*0=0']
Exploring Operation: 22+0=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
90,
49,
57,
93
] | 30 | [
"93-90=3",
"57/3=19",
"49-19=30"
] | Current State: 30:[90, 49, 57, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [49, 57, 3]
Generated Node #2: [49, 57, 3] from Operation: 93-90=3
Current State: 30:[49, 57, 3], Operations: ['93-90=3']
Exploring Operation: 57/3=19, Resulting Numbers: [49, 19]
Generated Node #3: [49, 19] from Operation: 57/3=19
Current State: 30:[49, 19], Operations: ['93-90=3', '57/3=19']
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
26,
57,
42,
36
] | 52 | [
"26*42=1092",
"57-36=21",
"1092/21=52"
] | Current State: 52:[26, 57, 42, 36], Operations: []
Exploring Operation: 26*42=1092, Resulting Numbers: [57, 36, 1092]
Generated Node #2: [57, 36, 1092] from Operation: 26*42=1092
Current State: 52:[57, 36, 1092], Operations: ['26*42=1092']
Exploring Operation: 57-36=21, Resulting Numbers: [1092, 21]
Generated Node #3: [1092, 21] from Operation: 57-36=21
Current State: 52:[1092, 21], Operations: ['26*42=1092', '57-36=21']
Exploring Operation: 1092/21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
78,
92,
56,
62
] | 79 | [
"62-56=6",
"78/6=13",
"92-13=79"
] | Current State: 79:[78, 92, 56, 62], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [78, 92, 6]
Generated Node #2: [78, 92, 6] from Operation: 62-56=6
Current State: 79:[78, 92, 6], Operations: ['62-56=6']
Exploring Operation: 78/6=13, Resulting Numbers: [92, 13]
Generated Node #3: [92, 13] from Operation: 78/6=13
Current State: 79:[92, 13], Operations: ['62-56=6', '78/6=13']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
6,
93,
10,
27
] | 60 | [
"6*10=60",
"93+27=120",
"120-60=60"
] | Current State: 60:[6, 93, 10, 27], Operations: []
Exploring Operation: 6*10=60, Resulting Numbers: [93, 27, 60]
Generated Node #2: [93, 27, 60] from Operation: 6*10=60
Current State: 60:[93, 27, 60], Operations: ['6*10=60']
Exploring Operation: 93+27=120, Resulting Numbers: [60, 120]
Generated Node #3: [60, 120] from Operation: 93+27=120
Current State: 60:[60, 120], Operations: ['6*10=60', '93+27=120']
Exploring Operation: 120-60=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
68,
18,
50,
35
] | 46 | [
"35-18=17",
"68/17=4",
"50-4=46"
] | Current State: 46:[68, 18, 50, 35], Operations: []
Exploring Operation: 35-18=17, Resulting Numbers: [68, 50, 17]
Generated Node #2: [68, 50, 17] from Operation: 35-18=17
Current State: 46:[68, 50, 17], Operations: ['35-18=17']
Exploring Operation: 68/17=4, Resulting Numbers: [50, 4]
Generated Node #3: [50, 4] from Operation: 68/17=4
Current State: 46:[50, 4], Operations: ['35-18=17', '68/17=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
98,
5,
65,
6
] | 91 | [
"98+6=104",
"65/5=13",
"104-13=91"
] | Current State: 91:[98, 5, 65, 6], Operations: []
Exploring Operation: 98+6=104, Resulting Numbers: [5, 65, 104]
Generated Node #2: [5, 65, 104] from Operation: 98+6=104
Current State: 91:[5, 65, 104], Operations: ['98+6=104']
Exploring Operation: 65/5=13, Resulting Numbers: [104, 13]
Generated Node #3: [104, 13] from Operation: 65/5=13
Current State: 91:[104, 13], Operations: ['98+6=104', '65/5=13']
Exploring Operation: 104-13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
61,
97,
67,
63
] | 37 | [
"63-61=2",
"67*2=134",
"134-97=37"
] | Current State: 37:[61, 97, 67, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [97, 67, 2]
Generated Node #2: [97, 67, 2] from Operation: 63-61=2
Current State: 37:[97, 67, 2], Operations: ['63-61=2']
Exploring Operation: 67*2=134, Resulting Numbers: [97, 134]
Generated Node #3: [97, 134] from Operation: 67*2=134
Current State: 37:[97, 134], Operations: ['63-61=2', '67*2=134']
Exploring Operation: 134-97=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
50,
16,
86,
78
] | 98 | [
"50+16=66",
"86+78=164",
"164-66=98"
] | Current State: 98:[50, 16, 86, 78], Operations: []
Exploring Operation: 50+16=66, Resulting Numbers: [86, 78, 66]
Generated Node #2: [86, 78, 66] from Operation: 50+16=66
Current State: 98:[86, 78, 66], Operations: ['50+16=66']
Exploring Operation: 86+78=164, Resulting Numbers: [66, 164]
Generated Node #3: [66, 164] from Operation: 86+78=164
Current State: 98:[66, 164], Operations: ['50+16=66', '86+78=164']
Exploring Operation: 164-66=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
55,
98,
85,
40
] | 88 | [
"98-55=43",
"85-40=45",
"43+45=88"
] | Current State: 88:[55, 98, 85, 40], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [85, 40, 43]
Generated Node #2: [85, 40, 43] from Operation: 98-55=43
Current State: 88:[85, 40, 43], Operations: ['98-55=43']
Exploring Operation: 85-40=45, Resulting Numbers: [43, 45]
Generated Node #3: [43, 45] from Operation: 85-40=45
Current State: 88:[43, 45], Operations: ['98-55=43', '85-40=45']
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
99,
40,
9,
1
] | 94 | [
"9-1=8",
"40/8=5",
"99-5=94"
] | Current State: 94:[99, 40, 9, 1], Operations: []
Exploring Operation: 9-1=8, Resulting Numbers: [99, 40, 8]
Generated Node #2: [99, 40, 8] from Operation: 9-1=8
Current State: 94:[99, 40, 8], Operations: ['9-1=8']
Exploring Operation: 40/8=5, Resulting Numbers: [99, 5]
Generated Node #3: [99, 5] from Operation: 40/8=5
Current State: 94:[99, 5], Operations: ['9-1=8', '40/8=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
41,
58,
27,
53
] | 70 | [
"41-27=14",
"58-53=5",
"14*5=70"
] | Current State: 70:[41, 58, 27, 53], Operations: []
Exploring Operation: 41-27=14, Resulting Numbers: [58, 53, 14]
Generated Node #2: [58, 53, 14] from Operation: 41-27=14
Current State: 70:[58, 53, 14], Operations: ['41-27=14']
Exploring Operation: 58-53=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 58-53=5
Current State: 70:[14, 5], Operations: ['41-27=14', '58-53=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
89,
22,
20,
28
] | 19 | [
"89-22=67",
"20+28=48",
"67-48=19"
] | Current State: 19:[89, 22, 20, 28], Operations: []
Exploring Operation: 89-22=67, Resulting Numbers: [20, 28, 67]
Generated Node #2: [20, 28, 67] from Operation: 89-22=67
Current State: 19:[20, 28, 67], Operations: ['89-22=67']
Exploring Operation: 20+28=48, Resulting Numbers: [67, 48]
Generated Node #3: [67, 48] from Operation: 20+28=48
Current State: 19:[67, 48], Operations: ['89-22=67', '20+28=48']
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
2,
16,
25,
38
] | 95 | [
"2*16=32",
"25+38=63",
"32+63=95"
] | Current State: 95:[2, 16, 25, 38], Operations: []
Exploring Operation: 2*16=32, Resulting Numbers: [25, 38, 32]
Generated Node #2: [25, 38, 32] from Operation: 2*16=32
Current State: 95:[25, 38, 32], Operations: ['2*16=32']
Exploring Operation: 25+38=63, Resulting Numbers: [32, 63]
Generated Node #3: [32, 63] from Operation: 25+38=63
Current State: 95:[32, 63], Operations: ['2*16=32', '25+38=63']
Exploring Operation: 32+63=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
94,
33,
8,
97
] | 44 | [
"94-33=61",
"8+97=105",
"105-61=44"
] | Current State: 44:[94, 33, 8, 97], Operations: []
Exploring Operation: 94-33=61, Resulting Numbers: [8, 97, 61]
Generated Node #2: [8, 97, 61] from Operation: 94-33=61
Current State: 44:[8, 97, 61], Operations: ['94-33=61']
Exploring Operation: 8+97=105, Resulting Numbers: [61, 105]
Generated Node #3: [61, 105] from Operation: 8+97=105
Current State: 44:[61, 105], Operations: ['94-33=61', '8+97=105']
Exploring Operation: 105-61=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
3,
9,
3,
21
] | 60 | [
"3*9=27",
"3*27=81",
"81-21=60"
] | Current State: 60:[3, 9, 3, 21], Operations: []
Exploring Operation: 3*9=27, Resulting Numbers: [21, 27]
Generated Node #2: [21, 27] from Operation: 3*9=27
Current State: 60:[21, 27], Operations: ['3*9=27']
Exploring Operation: 3*27=81, Resulting Numbers: [21, 81]
Generated Node #3: [21, 81] from Operation: 3*27=81
Current State: 60:[21, 81], Operations: ['3*9=27', '3*27=81']
Exploring Operation: 81-21=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
32,
93,
85,
61
] | 21 | [
"32+93=125",
"85+61=146",
"146-125=21"
] | Current State: 21:[32, 93, 85, 61], Operations: []
Exploring Operation: 32+93=125, Resulting Numbers: [85, 61, 125]
Generated Node #2: [85, 61, 125] from Operation: 32+93=125
Current State: 21:[85, 61, 125], Operations: ['32+93=125']
Exploring Operation: 85+61=146, Resulting Numbers: [125, 146]
Generated Node #3: [125, 146] from Operation: 85+61=146
Current State: 21:[125, 146], Operations: ['32+93=125', '85+61=146']
Exploring Operation: 146-125=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
77,
68,
9,
43
] | 44 | [
"77-68=9",
"9/9=1",
"43+1=44"
] | Current State: 44:[77, 68, 9, 43], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [9, 43, 9]
Generated Node #2: [9, 43, 9] from Operation: 77-68=9
Current State: 44:[9, 43, 9], Operations: ['77-68=9']
Exploring Operation: 9/9=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 9/9=1
Current State: 44:[43, 1], Operations: ['77-68=9', '9/9=1']
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
14,
32,
21,
30
] | 97 | [
"14+32=46",
"21+30=51",
"46+51=97"
] | Current State: 97:[14, 32, 21, 30], Operations: []
Exploring Operation: 14+32=46, Resulting Numbers: [21, 30, 46]
Generated Node #2: [21, 30, 46] from Operation: 14+32=46
Current State: 97:[21, 30, 46], Operations: ['14+32=46']
Exploring Operation: 21+30=51, Resulting Numbers: [46, 51]
Generated Node #3: [46, 51] from Operation: 21+30=51
Current State: 97:[46, 51], Operations: ['14+32=46', '21+30=51']
Exploring Operation: 46+51=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
15,
11,
73,
6
] | 97 | [
"15-11=4",
"6*4=24",
"73+24=97"
] | Current State: 97:[15, 11, 73, 6], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [73, 6, 4]
Generated Node #2: [73, 6, 4] from Operation: 15-11=4
Current State: 97:[73, 6, 4], Operations: ['15-11=4']
Exploring Operation: 6*4=24, Resulting Numbers: [73, 24]
Generated Node #3: [73, 24] from Operation: 6*4=24
Current State: 97:[73, 24], Operations: ['15-11=4', '6*4=24']
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
78,
71,
15
] | 27 | [
"78-19=59",
"71+15=86",
"86-59=27"
] | Current State: 27:[19, 78, 71, 15], Operations: []
Exploring Operation: 78-19=59, Resulting Numbers: [71, 15, 59]
Generated Node #2: [71, 15, 59] from Operation: 78-19=59
Current State: 27:[71, 15, 59], Operations: ['78-19=59']
Exploring Operation: 71+15=86, Resulting Numbers: [59, 86]
Generated Node #3: [59, 86] from Operation: 71+15=86
Current State: 27:[59, 86], Operations: ['78-19=59', '71+15=86']
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
59,
44,
15,
58
] | 58 | [
"59-44=15",
"15+58=73",
"73-15=58"
] | Current State: 58:[59, 44, 15, 58], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [15, 58, 15]
Generated Node #2: [15, 58, 15] from Operation: 59-44=15
Current State: 58:[15, 58, 15], Operations: ['59-44=15']
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,58 equal: Goal Reached
Exploring Operation: 73-15=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
46,
48,
12,
21
] | 100 | [
"46-21=25",
"48/12=4",
"25*4=100"
] | Current State: 100:[46, 48, 12, 21], Operations: []
Exploring Operation: 46-21=25, Resulting Numbers: [48, 12, 25]
Generated Node #2: [48, 12, 25] from Operation: 46-21=25
Current State: 100:[48, 12, 25], Operations: ['46-21=25']
Exploring Operation: 48/12=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 48/12=4
Current State: 100:[25, 4], Operations: ['46-21=25', '48/12=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
94,
2,
62,
52
] | 11 | [
"94+52=146",
"146/2=73",
"73-62=11"
] | Current State: 11:[94, 2, 62, 52], Operations: []
Exploring Operation: 94+52=146, Resulting Numbers: [2, 62, 146]
Generated Node #2: [2, 62, 146] from Operation: 94+52=146
Current State: 11:[2, 62, 146], Operations: ['94+52=146']
Exploring Operation: 146/2=73, Resulting Numbers: [62, 73]
Generated Node #3: [62, 73] from Operation: 146/2=73
Current State: 11:[62, 73], Operations: ['94+52=146', '146/2=73']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
78,
47,
7,
75
] | 99 | [
"78-47=31",
"75-7=68",
"31+68=99"
] | Current State: 99:[78, 47, 7, 75], Operations: []
Exploring Operation: 78-47=31, Resulting Numbers: [7, 75, 31]
Generated Node #2: [7, 75, 31] from Operation: 78-47=31
Current State: 99:[7, 75, 31], Operations: ['78-47=31']
Exploring Operation: 75-7=68, Resulting Numbers: [31, 68]
Generated Node #3: [31, 68] from Operation: 75-7=68
Current State: 99:[31, 68], Operations: ['78-47=31', '75-7=68']
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
12,
70,
96,
84
] | 94 | [
"12+70=82",
"96-84=12",
"82+12=94"
] | Current State: 94:[12, 70, 96, 84], Operations: []
Exploring Operation: 12+70=82, Resulting Numbers: [96, 84, 82]
Generated Node #2: [96, 84, 82] from Operation: 12+70=82
Current State: 94:[96, 84, 82], Operations: ['12+70=82']
Exploring Operation: 96-84=12, Resulting Numbers: [82, 12]
Generated Node #3: [82, 12] from Operation: 96-84=12
Current State: 94:[82, 12], Operations: ['12+70=82', '96-84=12']
Exploring Operation: 82+12=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
30,
50,
64,
50
] | 93 | [
"30+64=94",
"50/50=1",
"94-1=93"
] | Current State: 93:[30, 50, 64, 50], Operations: []
Exploring Operation: 30+64=94, Resulting Numbers: [50, 50, 94]
Generated Node #2: [50, 50, 94] from Operation: 30+64=94
Current State: 93:[50, 50, 94], Operations: ['30+64=94']
Exploring Operation: 50/50=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 50/50=1
Current State: 93:[94, 1], Operations: ['30+64=94', '50/50=1']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
32,
80,
93,
67
] | 75 | [
"93+67=160",
"160/32=5",
"80-5=75"
] | Current State: 75:[32, 80, 93, 67], Operations: []
Exploring Operation: 93+67=160, Resulting Numbers: [32, 80, 160]
Generated Node #2: [32, 80, 160] from Operation: 93+67=160
Current State: 75:[32, 80, 160], Operations: ['93+67=160']
Exploring Operation: 160/32=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 160/32=5
Current State: 75:[80, 5], Operations: ['93+67=160', '160/32=5']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
17,
21,
26,
15
] | 35 | [
"26-17=9",
"21*15=315",
"315/9=35"
] | Current State: 35:[17, 21, 26, 15], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [21, 15, 9]
Generated Node #2: [21, 15, 9] from Operation: 26-17=9
Current State: 35:[21, 15, 9], Operations: ['26-17=9']
Exploring Operation: 21*15=315, Resulting Numbers: [9, 315]
Generated Node #3: [9, 315] from Operation: 21*15=315
Current State: 35:[9, 315], Operations: ['26-17=9', '21*15=315']
Exploring Operation: 315/9=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
97,
92,
3,
76
] | 61 | [
"97-92=5",
"3*5=15",
"76-15=61"
] | Current State: 61:[97, 92, 3, 76], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [3, 76, 5]
Generated Node #2: [3, 76, 5] from Operation: 97-92=5
Current State: 61:[3, 76, 5], Operations: ['97-92=5']
Exploring Operation: 3*5=15, Resulting Numbers: [76, 15]
Generated Node #3: [76, 15] from Operation: 3*5=15
Current State: 61:[76, 15], Operations: ['97-92=5', '3*5=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
99,
38,
49,
88
] | 91 | [
"49-38=11",
"88/11=8",
"99-8=91"
] | Current State: 91:[99, 38, 49, 88], Operations: []
Exploring Operation: 49-38=11, Resulting Numbers: [99, 88, 11]
Generated Node #2: [99, 88, 11] from Operation: 49-38=11
Current State: 91:[99, 88, 11], Operations: ['49-38=11']
Exploring Operation: 88/11=8, Resulting Numbers: [99, 8]
Generated Node #3: [99, 8] from Operation: 88/11=8
Current State: 91:[99, 8], Operations: ['49-38=11', '88/11=8']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
52,
22,
54,
33
] | 77 | [
"54-52=2",
"22*2=44",
"33+44=77"
] | Current State: 77:[52, 22, 54, 33], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [22, 33, 2]
Generated Node #2: [22, 33, 2] from Operation: 54-52=2
Current State: 77:[22, 33, 2], Operations: ['54-52=2']
Exploring Operation: 22*2=44, Resulting Numbers: [33, 44]
Generated Node #3: [33, 44] from Operation: 22*2=44
Current State: 77:[33, 44], Operations: ['54-52=2', '22*2=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
59,
8,
78,
11
] | 84 | [
"59-11=48",
"48/8=6",
"78+6=84"
] | Current State: 84:[59, 8, 78, 11], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [8, 78, 48]
Generated Node #2: [8, 78, 48] from Operation: 59-11=48
Current State: 84:[8, 78, 48], Operations: ['59-11=48']
Exploring Operation: 48/8=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 48/8=6
Current State: 84:[78, 6], Operations: ['59-11=48', '48/8=6']
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
39,
82,
8,
79
] | 15 | [
"82-79=3",
"8*3=24",
"39-24=15"
] | Current State: 15:[39, 82, 8, 79], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [39, 8, 3]
Generated Node #2: [39, 8, 3] from Operation: 82-79=3
Current State: 15:[39, 8, 3], Operations: ['82-79=3']
Exploring Operation: 8*3=24, Resulting Numbers: [39, 24]
Generated Node #3: [39, 24] from Operation: 8*3=24
Current State: 15:[39, 24], Operations: ['82-79=3', '8*3=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
39,
22,
18,
99
] | 99 | [
"39-22=17",
"18-17=1",
"99*1=99"
] | Current State: 99:[39, 22, 18, 99], Operations: []
Exploring Operation: 39-22=17, Resulting Numbers: [18, 99, 17]
Generated Node #2: [18, 99, 17] from Operation: 39-22=17
Current State: 99:[18, 99, 17], Operations: ['39-22=17']
Exploring Operation: 18-17=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 18-17=1
Current State: 99:[99, 1], Operations: ['39-22=17', '18-17=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
8,
75,
31,
7
] | 12 | [
"8*7=56",
"75-31=44",
"56-44=12"
] | Current State: 12:[8, 75, 31, 7], Operations: []
Exploring Operation: 8*7=56, Resulting Numbers: [75, 31, 56]
Generated Node #2: [75, 31, 56] from Operation: 8*7=56
Current State: 12:[75, 31, 56], Operations: ['8*7=56']
Exploring Operation: 75-31=44, Resulting Numbers: [56, 44]
Generated Node #3: [56, 44] from Operation: 75-31=44
Current State: 12:[56, 44], Operations: ['8*7=56', '75-31=44']
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
52,
97,
71,
88
] | 28 | [
"97-52=45",
"88-71=17",
"45-17=28"
] | Current State: 28:[52, 97, 71, 88], Operations: []
Exploring Operation: 97-52=45, Resulting Numbers: [71, 88, 45]
Generated Node #2: [71, 88, 45] from Operation: 97-52=45
Current State: 28:[71, 88, 45], Operations: ['97-52=45']
Exploring Operation: 88-71=17, Resulting Numbers: [45, 17]
Generated Node #3: [45, 17] from Operation: 88-71=17
Current State: 28:[45, 17], Operations: ['97-52=45', '88-71=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
61,
35,
87
] | 24 | [
"35+87=122",
"122/61=2",
"26-2=24"
] | Current State: 24:[26, 61, 35, 87], Operations: []
Exploring Operation: 35+87=122, Resulting Numbers: [26, 61, 122]
Generated Node #2: [26, 61, 122] from Operation: 35+87=122
Current State: 24:[26, 61, 122], Operations: ['35+87=122']
Exploring Operation: 122/61=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 122/61=2
Current State: 24:[26, 2], Operations: ['35+87=122', '122/61=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
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