nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
68,
54,
83,
18
] | 79 | [
"68-54=14",
"83-18=65",
"14+65=79"
] | Current State: 79:[68, 54, 83, 18], Operations: []
Exploring Operation: 68-54=14, Resulting Numbers: [83, 18, 14]
Generated Node #2: [83, 18, 14] from Operation: 68-54=14
Current State: 79:[83, 18, 14], Operations: ['68-54=14']
Exploring Operation: 83-18=65, Resulting Numbers: [14, 65]
Generated Node #3: [14, 65] from Operation: 83-18=65
Current State: 79:[14, 65], Operations: ['68-54=14', '83-18=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
9,
46,
6,
68
] | 78 | [
"9+46=55",
"68-55=13",
"6*13=78"
] | Current State: 78:[9, 46, 6, 68], Operations: []
Exploring Operation: 9+46=55, Resulting Numbers: [6, 68, 55]
Generated Node #2: [6, 68, 55] from Operation: 9+46=55
Current State: 78:[6, 68, 55], Operations: ['9+46=55']
Exploring Operation: 68-55=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 68-55=13
Current State: 78:[6, 13], Operations: ['9+46=55', '68-55=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
5,
18,
48,
72
] | 57 | [
"5+48=53",
"72/18=4",
"53+4=57"
] | Current State: 57:[5, 18, 48, 72], Operations: []
Exploring Operation: 5+48=53, Resulting Numbers: [18, 72, 53]
Generated Node #2: [18, 72, 53] from Operation: 5+48=53
Current State: 57:[18, 72, 53], Operations: ['5+48=53']
Exploring Operation: 72/18=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 72/18=4
Current State: 57:[53, 4], Operations: ['5+48=53', '72/18=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
50,
10,
12,
18
] | 52 | [
"50+18=68",
"10*12=120",
"120-68=52"
] | Current State: 52:[50, 10, 12, 18], Operations: []
Exploring Operation: 50+18=68, Resulting Numbers: [10, 12, 68]
Generated Node #2: [10, 12, 68] from Operation: 50+18=68
Current State: 52:[10, 12, 68], Operations: ['50+18=68']
Exploring Operation: 10*12=120, Resulting Numbers: [68, 120]
Generated Node #3: [68, 120] from Operation: 10*12=120
Current State: 52:[68, 120], Operations: ['50+18=68', '10*12=120']
Exploring Operation: 120-68=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
36,
90,
41,
81
] | 37 | [
"90-81=9",
"36/9=4",
"41-4=37"
] | Current State: 37:[36, 90, 41, 81], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [36, 41, 9]
Generated Node #2: [36, 41, 9] from Operation: 90-81=9
Current State: 37:[36, 41, 9], Operations: ['90-81=9']
Exploring Operation: 36/9=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 36/9=4
Current State: 37:[41, 4], Operations: ['90-81=9', '36/9=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
26,
58,
27,
75
] | 15 | [
"58-26=32",
"32-27=5",
"75/5=15"
] | Current State: 15:[26, 58, 27, 75], Operations: []
Exploring Operation: 58-26=32, Resulting Numbers: [27, 75, 32]
Generated Node #2: [27, 75, 32] from Operation: 58-26=32
Current State: 15:[27, 75, 32], Operations: ['58-26=32']
Exploring Operation: 32-27=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 32-27=5
Current State: 15:[75, 5], Operations: ['58-26=32', '32-27=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
70,
57,
53,
19
] | 47 | [
"70-57=13",
"53-19=34",
"13+34=47"
] | Current State: 47:[70, 57, 53, 19], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [53, 19, 13]
Generated Node #2: [53, 19, 13] from Operation: 70-57=13
Current State: 47:[53, 19, 13], Operations: ['70-57=13']
Exploring Operation: 53-19=34, Resulting Numbers: [13, 34]
Generated Node #3: [13, 34] from Operation: 53-19=34
Current State: 47:[13, 34], Operations: ['70-57=13', '53-19=34']
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
92,
34,
72,
52
] | 36 | [
"92+52=144",
"144/72=2",
"34+2=36"
] | Current State: 36:[92, 34, 72, 52], Operations: []
Exploring Operation: 92+52=144, Resulting Numbers: [34, 72, 144]
Generated Node #2: [34, 72, 144] from Operation: 92+52=144
Current State: 36:[34, 72, 144], Operations: ['92+52=144']
Exploring Operation: 144/72=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 144/72=2
Current State: 36:[34, 2], Operations: ['92+52=144', '144/72=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
69,
34,
44,
17
] | 91 | [
"34/17=2",
"44/2=22",
"69+22=91"
] | Current State: 91:[69, 34, 44, 17], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [69, 44, 2]
Generated Node #2: [69, 44, 2] from Operation: 34/17=2
Current State: 91:[69, 44, 2], Operations: ['34/17=2']
Exploring Operation: 44/2=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 44/2=22
Current State: 91:[69, 22], Operations: ['34/17=2', '44/2=22']
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
56,
5,
72,
6
] | 49 | [
"56+5=61",
"72/6=12",
"61-12=49"
] | Current State: 49:[56, 5, 72, 6], Operations: []
Exploring Operation: 56+5=61, Resulting Numbers: [72, 6, 61]
Generated Node #2: [72, 6, 61] from Operation: 56+5=61
Current State: 49:[72, 6, 61], Operations: ['56+5=61']
Exploring Operation: 72/6=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 72/6=12
Current State: 49:[61, 12], Operations: ['56+5=61', '72/6=12']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
10,
77,
33,
68
] | 33 | [
"77-10=67",
"68-67=1",
"33*1=33"
] | Current State: 33:[10, 77, 33, 68], Operations: []
Exploring Operation: 77-10=67, Resulting Numbers: [33, 68, 67]
Generated Node #2: [33, 68, 67] from Operation: 77-10=67
Current State: 33:[33, 68, 67], Operations: ['77-10=67']
Exploring Operation: 68-67=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 68-67=1
Current State: 33:[33, 1], Operations: ['77-10=67', '68-67=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
7,
61,
44,
53
] | 43 | [
"61-7=54",
"44+53=97",
"97-54=43"
] | Current State: 43:[7, 61, 44, 53], Operations: []
Exploring Operation: 61-7=54, Resulting Numbers: [44, 53, 54]
Generated Node #2: [44, 53, 54] from Operation: 61-7=54
Current State: 43:[44, 53, 54], Operations: ['61-7=54']
Exploring Operation: 44+53=97, Resulting Numbers: [54, 97]
Generated Node #3: [54, 97] from Operation: 44+53=97
Current State: 43:[54, 97], Operations: ['61-7=54', '44+53=97']
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
38,
5,
3,
10
] | 15 | [
"38-3=35",
"5*10=50",
"50-35=15"
] | Current State: 15:[38, 5, 3, 10], Operations: []
Exploring Operation: 38-3=35, Resulting Numbers: [5, 10, 35]
Generated Node #2: [5, 10, 35] from Operation: 38-3=35
Current State: 15:[5, 10, 35], Operations: ['38-3=35']
Exploring Operation: 5*10=50, Resulting Numbers: [35, 50]
Generated Node #3: [35, 50] from Operation: 5*10=50
Current State: 15:[35, 50], Operations: ['38-3=35', '5*10=50']
Exploring Operation: 50-35=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
10,
8,
86,
28
] | 88 | [
"28-8=20",
"20/10=2",
"86+2=88"
] | Current State: 88:[10, 8, 86, 28], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [10, 86, 20]
Generated Node #2: [10, 86, 20] from Operation: 28-8=20
Current State: 88:[10, 86, 20], Operations: ['28-8=20']
Exploring Operation: 20/10=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 20/10=2
Current State: 88:[86, 2], Operations: ['28-8=20', '20/10=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
11,
28,
2
] | 35 | [
"9*2=18",
"28-11=17",
"18+17=35"
] | Current State: 35:[9, 11, 28, 2], Operations: []
Exploring Operation: 9*2=18, Resulting Numbers: [11, 28, 18]
Generated Node #2: [11, 28, 18] from Operation: 9*2=18
Current State: 35:[11, 28, 18], Operations: ['9*2=18']
Exploring Operation: 28-11=17, Resulting Numbers: [18, 17]
Generated Node #3: [18, 17] from Operation: 28-11=17
Current State: 35:[18, 17], Operations: ['9*2=18', '28-11=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
45,
32,
31,
6
] | 50 | [
"45-32=13",
"31+6=37",
"13+37=50"
] | Current State: 50:[45, 32, 31, 6], Operations: []
Exploring Operation: 45-32=13, Resulting Numbers: [31, 6, 13]
Generated Node #2: [31, 6, 13] from Operation: 45-32=13
Current State: 50:[31, 6, 13], Operations: ['45-32=13']
Exploring Operation: 31+6=37, Resulting Numbers: [13, 37]
Generated Node #3: [13, 37] from Operation: 31+6=37
Current State: 50:[13, 37], Operations: ['45-32=13', '31+6=37']
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
68,
80,
40,
98
] | 19 | [
"80/40=2",
"98/2=49",
"68-49=19"
] | Current State: 19:[68, 80, 40, 98], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [68, 98, 2]
Generated Node #2: [68, 98, 2] from Operation: 80/40=2
Current State: 19:[68, 98, 2], Operations: ['80/40=2']
Exploring Operation: 98/2=49, Resulting Numbers: [68, 49]
Generated Node #3: [68, 49] from Operation: 98/2=49
Current State: 19:[68, 49], Operations: ['80/40=2', '98/2=49']
Exploring Operation: 68-49=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
41,
65,
72,
59
] | 69 | [
"59-41=18",
"72/18=4",
"65+4=69"
] | Current State: 69:[41, 65, 72, 59], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [65, 72, 18]
Generated Node #2: [65, 72, 18] from Operation: 59-41=18
Current State: 69:[65, 72, 18], Operations: ['59-41=18']
Exploring Operation: 72/18=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 72/18=4
Current State: 69:[65, 4], Operations: ['59-41=18', '72/18=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
46,
42,
18,
31
] | 14 | [
"46-18=28",
"31-28=3",
"42/3=14"
] | Current State: 14:[46, 42, 18, 31], Operations: []
Exploring Operation: 46-18=28, Resulting Numbers: [42, 31, 28]
Generated Node #2: [42, 31, 28] from Operation: 46-18=28
Current State: 14:[42, 31, 28], Operations: ['46-18=28']
Exploring Operation: 31-28=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 31-28=3
Current State: 14:[42, 3], Operations: ['46-18=28', '31-28=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
43,
30,
39,
67
] | 41 | [
"43-30=13",
"67-39=28",
"13+28=41"
] | Current State: 41:[43, 30, 39, 67], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [39, 67, 13]
Generated Node #2: [39, 67, 13] from Operation: 43-30=13
Current State: 41:[39, 67, 13], Operations: ['43-30=13']
Exploring Operation: 67-39=28, Resulting Numbers: [13, 28]
Generated Node #3: [13, 28] from Operation: 67-39=28
Current State: 41:[13, 28], Operations: ['43-30=13', '67-39=28']
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
10,
97,
84
] | 71 | [
"10-8=2",
"84*2=168",
"168-97=71"
] | Current State: 71:[8, 10, 97, 84], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [97, 84, 2]
Generated Node #2: [97, 84, 2] from Operation: 10-8=2
Current State: 71:[97, 84, 2], Operations: ['10-8=2']
Exploring Operation: 84*2=168, Resulting Numbers: [97, 168]
Generated Node #3: [97, 168] from Operation: 84*2=168
Current State: 71:[97, 168], Operations: ['10-8=2', '84*2=168']
Exploring Operation: 168-97=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
36,
15,
90,
30
] | 30 | [
"36-30=6",
"90/6=15",
"15+15=30"
] | Current State: 30:[36, 15, 90, 30], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [15, 90, 6]
Generated Node #2: [15, 90, 6] from Operation: 36-30=6
Current State: 30:[15, 90, 6], Operations: ['36-30=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15, 15]
Generated Node #3: [15, 15] from Operation: 90/6=15
Current State: 30:[15, 15], Operations: ['36-30=6', '90/6=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
36,
20,
16,
8
] | 53 | [
"36*20=720",
"720/16=45",
"8+45=53"
] | Current State: 53:[36, 20, 16, 8], Operations: []
Exploring Operation: 36*20=720, Resulting Numbers: [16, 8, 720]
Generated Node #2: [16, 8, 720] from Operation: 36*20=720
Current State: 53:[16, 8, 720], Operations: ['36*20=720']
Exploring Operation: 720/16=45, Resulting Numbers: [8, 45]
Generated Node #3: [8, 45] from Operation: 720/16=45
Current State: 53:[8, 45], Operations: ['36*20=720', '720/16=45']
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
89,
94,
7,
20
] | 18 | [
"94-89=5",
"20-7=13",
"5+13=18"
] | Current State: 18:[89, 94, 7, 20], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [7, 20, 5]
Generated Node #2: [7, 20, 5] from Operation: 94-89=5
Current State: 18:[7, 20, 5], Operations: ['94-89=5']
Exploring Operation: 20-7=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 20-7=13
Current State: 18:[5, 13], Operations: ['94-89=5', '20-7=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
82,
66,
32,
91
] | 89 | [
"82+66=148",
"91-32=59",
"148-59=89"
] | Current State: 89:[82, 66, 32, 91], Operations: []
Exploring Operation: 82+66=148, Resulting Numbers: [32, 91, 148]
Generated Node #2: [32, 91, 148] from Operation: 82+66=148
Current State: 89:[32, 91, 148], Operations: ['82+66=148']
Exploring Operation: 91-32=59, Resulting Numbers: [148, 59]
Generated Node #3: [148, 59] from Operation: 91-32=59
Current State: 89:[148, 59], Operations: ['82+66=148', '91-32=59']
Exploring Operation: 148-59=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
77,
6,
12,
17
] | 30 | [
"77-17=60",
"12/6=2",
"60/2=30"
] | Current State: 30:[77, 6, 12, 17], Operations: []
Exploring Operation: 77-17=60, Resulting Numbers: [6, 12, 60]
Generated Node #2: [6, 12, 60] from Operation: 77-17=60
Current State: 30:[6, 12, 60], Operations: ['77-17=60']
Exploring Operation: 12/6=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 12/6=2
Current State: 30:[60, 2], Operations: ['77-17=60', '12/6=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
12,
56,
34,
16
] | 72 | [
"56-34=22",
"22-16=6",
"12*6=72"
] | Current State: 72:[12, 56, 34, 16], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [12, 16, 22]
Generated Node #2: [12, 16, 22] from Operation: 56-34=22
Current State: 72:[12, 16, 22], Operations: ['56-34=22']
Exploring Operation: 22-16=6, Resulting Numbers: [12, 6]
Generated Node #3: [12, 6] from Operation: 22-16=6
Current State: 72:[12, 6], Operations: ['56-34=22', '22-16=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
22,
13,
29,
14
] | 48 | [
"22*29=638",
"638-14=624",
"624/13=48"
] | Current State: 48:[22, 13, 29, 14], Operations: []
Exploring Operation: 22*29=638, Resulting Numbers: [13, 14, 638]
Generated Node #2: [13, 14, 638] from Operation: 22*29=638
Current State: 48:[13, 14, 638], Operations: ['22*29=638']
Exploring Operation: 638-14=624, Resulting Numbers: [13, 624]
Generated Node #3: [13, 624] from Operation: 638-14=624
Current State: 48:[13, 624], Operations: ['22*29=638', '638-14=624']
Exploring Operation: 624/13=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
3,
2,
25
] | 35 | [
"12+3=15",
"2*25=50",
"50-15=35"
] | Current State: 35:[12, 3, 2, 25], Operations: []
Exploring Operation: 12+3=15, Resulting Numbers: [2, 25, 15]
Generated Node #2: [2, 25, 15] from Operation: 12+3=15
Current State: 35:[2, 25, 15], Operations: ['12+3=15']
Exploring Operation: 2*25=50, Resulting Numbers: [15, 50]
Generated Node #3: [15, 50] from Operation: 2*25=50
Current State: 35:[15, 50], Operations: ['12+3=15', '2*25=50']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
69,
55,
47,
54
] | 98 | [
"69-55=14",
"54-47=7",
"14*7=98"
] | Current State: 98:[69, 55, 47, 54], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [47, 54, 14]
Generated Node #2: [47, 54, 14] from Operation: 69-55=14
Current State: 98:[47, 54, 14], Operations: ['69-55=14']
Exploring Operation: 54-47=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 54-47=7
Current State: 98:[14, 7], Operations: ['69-55=14', '54-47=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
21,
81,
28,
87
] | 43 | [
"21+81=102",
"87-28=59",
"102-59=43"
] | Current State: 43:[21, 81, 28, 87], Operations: []
Exploring Operation: 21+81=102, Resulting Numbers: [28, 87, 102]
Generated Node #2: [28, 87, 102] from Operation: 21+81=102
Current State: 43:[28, 87, 102], Operations: ['21+81=102']
Exploring Operation: 87-28=59, Resulting Numbers: [102, 59]
Generated Node #3: [102, 59] from Operation: 87-28=59
Current State: 43:[102, 59], Operations: ['21+81=102', '87-28=59']
Exploring Operation: 102-59=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
1,
30,
52,
1
] | 44 | [
"1+1=2",
"52-30=22",
"2*22=44"
] | Current State: 44:[1, 30, 52, 1], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [30, 52, 2]
Generated Node #2: [30, 52, 2] from Operation: 1+1=2
Current State: 44:[30, 52, 2], Operations: ['1+1=2']
Exploring Operation: 52-30=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 52-30=22
Current State: 44:[2, 22], Operations: ['1+1=2', '52-30=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
48,
63,
15
] | 80 | [
"48-16=32",
"63-15=48",
"32+48=80"
] | Current State: 80:[16, 48, 63, 15], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [63, 15, 32]
Generated Node #2: [63, 15, 32] from Operation: 48-16=32
Current State: 80:[63, 15, 32], Operations: ['48-16=32']
Exploring Operation: 63-15=48, Resulting Numbers: [32, 48]
Generated Node #3: [32, 48] from Operation: 63-15=48
Current State: 80:[32, 48], Operations: ['48-16=32', '63-15=48']
Exploring Operation: 32+48=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
35,
37,
44,
92
] | 96 | [
"37-35=2",
"92-44=48",
"2*48=96"
] | Current State: 96:[35, 37, 44, 92], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [44, 92, 2]
Generated Node #2: [44, 92, 2] from Operation: 37-35=2
Current State: 96:[44, 92, 2], Operations: ['37-35=2']
Exploring Operation: 92-44=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 92-44=48
Current State: 96:[2, 48], Operations: ['37-35=2', '92-44=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
56,
17,
7,
5
] | 61 | [
"56+17=73",
"7+5=12",
"73-12=61"
] | Current State: 61:[56, 17, 7, 5], Operations: []
Exploring Operation: 56+17=73, Resulting Numbers: [7, 5, 73]
Generated Node #2: [7, 5, 73] from Operation: 56+17=73
Current State: 61:[7, 5, 73], Operations: ['56+17=73']
Exploring Operation: 7+5=12, Resulting Numbers: [73, 12]
Generated Node #3: [73, 12] from Operation: 7+5=12
Current State: 61:[73, 12], Operations: ['56+17=73', '7+5=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
88,
50,
68,
20
] | 10 | [
"88-50=38",
"68-20=48",
"48-38=10"
] | Current State: 10:[88, 50, 68, 20], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [68, 20, 38]
Generated Node #2: [68, 20, 38] from Operation: 88-50=38
Current State: 10:[68, 20, 38], Operations: ['88-50=38']
Exploring Operation: 68-20=48, Resulting Numbers: [38, 48]
Generated Node #3: [38, 48] from Operation: 68-20=48
Current State: 10:[38, 48], Operations: ['88-50=38', '68-20=48']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
3,
96,
54,
22
] | 61 | [
"96-3=93",
"54-22=32",
"93-32=61"
] | Current State: 61:[3, 96, 54, 22], Operations: []
Exploring Operation: 96-3=93, Resulting Numbers: [54, 22, 93]
Generated Node #2: [54, 22, 93] from Operation: 96-3=93
Current State: 61:[54, 22, 93], Operations: ['96-3=93']
Exploring Operation: 54-22=32, Resulting Numbers: [93, 32]
Generated Node #3: [93, 32] from Operation: 54-22=32
Current State: 61:[93, 32], Operations: ['96-3=93', '54-22=32']
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
99,
36,
69,
8
] | 74 | [
"99+36=135",
"69-8=61",
"135-61=74"
] | Current State: 74:[99, 36, 69, 8], Operations: []
Exploring Operation: 99+36=135, Resulting Numbers: [69, 8, 135]
Generated Node #2: [69, 8, 135] from Operation: 99+36=135
Current State: 74:[69, 8, 135], Operations: ['99+36=135']
Exploring Operation: 69-8=61, Resulting Numbers: [135, 61]
Generated Node #3: [135, 61] from Operation: 69-8=61
Current State: 74:[135, 61], Operations: ['99+36=135', '69-8=61']
Exploring Operation: 135-61=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
35,
81,
75,
45
] | 74 | [
"81-35=46",
"75+45=120",
"120-46=74"
] | Current State: 74:[35, 81, 75, 45], Operations: []
Exploring Operation: 81-35=46, Resulting Numbers: [75, 45, 46]
Generated Node #2: [75, 45, 46] from Operation: 81-35=46
Current State: 74:[75, 45, 46], Operations: ['81-35=46']
Exploring Operation: 75+45=120, Resulting Numbers: [46, 120]
Generated Node #3: [46, 120] from Operation: 75+45=120
Current State: 74:[46, 120], Operations: ['81-35=46', '75+45=120']
Exploring Operation: 120-46=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
40,
46,
68,
12
] | 70 | [
"46-40=6",
"12/6=2",
"68+2=70"
] | Current State: 70:[40, 46, 68, 12], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [68, 12, 6]
Generated Node #2: [68, 12, 6] from Operation: 46-40=6
Current State: 70:[68, 12, 6], Operations: ['46-40=6']
Exploring Operation: 12/6=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 12/6=2
Current State: 70:[68, 2], Operations: ['46-40=6', '12/6=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
92,
64,
38,
48
] | 72 | [
"92-38=54",
"64*54=3456",
"3456/48=72"
] | Current State: 72:[92, 64, 38, 48], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [64, 48, 54]
Generated Node #2: [64, 48, 54] from Operation: 92-38=54
Current State: 72:[64, 48, 54], Operations: ['92-38=54']
Exploring Operation: 64*54=3456, Resulting Numbers: [48, 3456]
Generated Node #3: [48, 3456] from Operation: 64*54=3456
Current State: 72:[48, 3456], Operations: ['92-38=54', '64*54=3456']
Exploring Operation: 3456/48=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
37,
91,
97,
17
] | 95 | [
"91-17=74",
"74/37=2",
"97-2=95"
] | Current State: 95:[37, 91, 97, 17], Operations: []
Exploring Operation: 91-17=74, Resulting Numbers: [37, 97, 74]
Generated Node #2: [37, 97, 74] from Operation: 91-17=74
Current State: 95:[37, 97, 74], Operations: ['91-17=74']
Exploring Operation: 74/37=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 74/37=2
Current State: 95:[97, 2], Operations: ['91-17=74', '74/37=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
71,
41,
73,
81
] | 80 | [
"73-71=2",
"81-41=40",
"2*40=80"
] | Current State: 80:[71, 41, 73, 81], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [41, 81, 2]
Generated Node #2: [41, 81, 2] from Operation: 73-71=2
Current State: 80:[41, 81, 2], Operations: ['73-71=2']
Exploring Operation: 81-41=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 81-41=40
Current State: 80:[2, 40], Operations: ['73-71=2', '81-41=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
8,
51,
8,
84
] | 34 | [
"8/8=1",
"84-51=33",
"1+33=34"
] | Current State: 34:[8, 51, 8, 84], Operations: []
Exploring Operation: 8/8=1, Resulting Numbers: [51, 84, 1]
Generated Node #2: [51, 84, 1] from Operation: 8/8=1
Current State: 34:[51, 84, 1], Operations: ['8/8=1']
Exploring Operation: 84-51=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 84-51=33
Current State: 34:[1, 33], Operations: ['8/8=1', '84-51=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
27,
62,
73,
24
] | 33 | [
"27-24=3",
"73-62=11",
"3*11=33"
] | Current State: 33:[27, 62, 73, 24], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [62, 73, 3]
Generated Node #2: [62, 73, 3] from Operation: 27-24=3
Current State: 33:[62, 73, 3], Operations: ['27-24=3']
Exploring Operation: 73-62=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 73-62=11
Current State: 33:[3, 11], Operations: ['27-24=3', '73-62=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
37,
98,
21,
26
] | 87 | [
"26-21=5",
"37*5=185",
"185-98=87"
] | Current State: 87:[37, 98, 21, 26], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [37, 98, 5]
Generated Node #2: [37, 98, 5] from Operation: 26-21=5
Current State: 87:[37, 98, 5], Operations: ['26-21=5']
Exploring Operation: 37*5=185, Resulting Numbers: [98, 185]
Generated Node #3: [98, 185] from Operation: 37*5=185
Current State: 87:[98, 185], Operations: ['26-21=5', '37*5=185']
Exploring Operation: 185-98=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
58,
48,
90,
42
] | 28 | [
"90-58=32",
"42*32=1344",
"1344/48=28"
] | Current State: 28:[58, 48, 90, 42], Operations: []
Exploring Operation: 90-58=32, Resulting Numbers: [48, 42, 32]
Generated Node #2: [48, 42, 32] from Operation: 90-58=32
Current State: 28:[48, 42, 32], Operations: ['90-58=32']
Exploring Operation: 42*32=1344, Resulting Numbers: [48, 1344]
Generated Node #3: [48, 1344] from Operation: 42*32=1344
Current State: 28:[48, 1344], Operations: ['90-58=32', '42*32=1344']
Exploring Operation: 1344/48=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
95,
10,
14,
80
] | 90 | [
"80-10=70",
"70/14=5",
"95-5=90"
] | Current State: 90:[95, 10, 14, 80], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [95, 14, 70]
Generated Node #2: [95, 14, 70] from Operation: 80-10=70
Current State: 90:[95, 14, 70], Operations: ['80-10=70']
Exploring Operation: 70/14=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 70/14=5
Current State: 90:[95, 5], Operations: ['80-10=70', '70/14=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
20,
8,
29,
3
] | 91 | [
"8+29=37",
"3*37=111",
"111-20=91"
] | Current State: 91:[20, 8, 29, 3], Operations: []
Exploring Operation: 8+29=37, Resulting Numbers: [20, 3, 37]
Generated Node #2: [20, 3, 37] from Operation: 8+29=37
Current State: 91:[20, 3, 37], Operations: ['8+29=37']
Exploring Operation: 3*37=111, Resulting Numbers: [20, 111]
Generated Node #3: [20, 111] from Operation: 3*37=111
Current State: 91:[20, 111], Operations: ['8+29=37', '3*37=111']
Exploring Operation: 111-20=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
25,
54,
29,
45
] | 59 | [
"25*54=1350",
"1350/45=30",
"29+30=59"
] | Current State: 59:[25, 54, 29, 45], Operations: []
Exploring Operation: 25*54=1350, Resulting Numbers: [29, 45, 1350]
Generated Node #2: [29, 45, 1350] from Operation: 25*54=1350
Current State: 59:[29, 45, 1350], Operations: ['25*54=1350']
Exploring Operation: 1350/45=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 1350/45=30
Current State: 59:[29, 30], Operations: ['25*54=1350', '1350/45=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
34,
2,
20,
63
] | 25 | [
"34*2=68",
"63-20=43",
"68-43=25"
] | Current State: 25:[34, 2, 20, 63], Operations: []
Exploring Operation: 34*2=68, Resulting Numbers: [20, 63, 68]
Generated Node #2: [20, 63, 68] from Operation: 34*2=68
Current State: 25:[20, 63, 68], Operations: ['34*2=68']
Exploring Operation: 63-20=43, Resulting Numbers: [68, 43]
Generated Node #3: [68, 43] from Operation: 63-20=43
Current State: 25:[68, 43], Operations: ['34*2=68', '63-20=43']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
57,
99,
64,
64
] | 28 | [
"57+99=156",
"64+64=128",
"156-128=28"
] | Current State: 28:[57, 99, 64, 64], Operations: []
Exploring Operation: 57+99=156, Resulting Numbers: [64, 64, 156]
Generated Node #2: [64, 64, 156] from Operation: 57+99=156
Current State: 28:[64, 64, 156], Operations: ['57+99=156']
Exploring Operation: 64+64=128, Resulting Numbers: [156, 128]
Generated Node #3: [156, 128] from Operation: 64+64=128
Current State: 28:[156, 128], Operations: ['57+99=156', '64+64=128']
Exploring Operation: 156-128=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
15,
64,
94,
60
] | 78 | [
"15*64=960",
"960/60=16",
"94-16=78"
] | Current State: 78:[15, 64, 94, 60], Operations: []
Exploring Operation: 15*64=960, Resulting Numbers: [94, 60, 960]
Generated Node #2: [94, 60, 960] from Operation: 15*64=960
Current State: 78:[94, 60, 960], Operations: ['15*64=960']
Exploring Operation: 960/60=16, Resulting Numbers: [94, 16]
Generated Node #3: [94, 16] from Operation: 960/60=16
Current State: 78:[94, 16], Operations: ['15*64=960', '960/60=16']
Exploring Operation: 94-16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
32,
49,
51
] | 47 | [
"49-32=17",
"51/17=3",
"50-3=47"
] | Current State: 47:[50, 32, 49, 51], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [50, 51, 17]
Generated Node #2: [50, 51, 17] from Operation: 49-32=17
Current State: 47:[50, 51, 17], Operations: ['49-32=17']
Exploring Operation: 51/17=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 51/17=3
Current State: 47:[50, 3], Operations: ['49-32=17', '51/17=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
34,
9,
60,
34
] | 60 | [
"34-34=0",
"9*0=0",
"60+0=60"
] | Current State: 60:[34, 9, 60, 34], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [9, 60, 0]
Generated Node #2: [9, 60, 0] from Operation: 34-34=0
Current State: 60:[9, 60, 0], Operations: ['34-34=0']
Exploring Operation: 9*0=0, Resulting Numbers: [60, 0]
Generated Node #3: [60, 0] from Operation: 9*0=0
Current State: 60:[60, 0], Operations: ['34-34=0', '9*0=0']
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
4,
61,
59,
81
] | 87 | [
"4+61=65",
"81-59=22",
"65+22=87"
] | Current State: 87:[4, 61, 59, 81], Operations: []
Exploring Operation: 4+61=65, Resulting Numbers: [59, 81, 65]
Generated Node #2: [59, 81, 65] from Operation: 4+61=65
Current State: 87:[59, 81, 65], Operations: ['4+61=65']
Exploring Operation: 81-59=22, Resulting Numbers: [65, 22]
Generated Node #3: [65, 22] from Operation: 81-59=22
Current State: 87:[65, 22], Operations: ['4+61=65', '81-59=22']
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
60,
89,
40,
91
] | 40 | [
"60-40=20",
"91-89=2",
"20*2=40"
] | Current State: 40:[60, 89, 40, 91], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [89, 91, 20]
Generated Node #2: [89, 91, 20] from Operation: 60-40=20
Current State: 40:[89, 91, 20], Operations: ['60-40=20']
Exploring Operation: 91-89=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 91-89=2
Current State: 40:[20, 2], Operations: ['60-40=20', '91-89=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
56,
2,
85,
66
] | 24 | [
"56+66=122",
"122/2=61",
"85-61=24"
] | Current State: 24:[56, 2, 85, 66], Operations: []
Exploring Operation: 56+66=122, Resulting Numbers: [2, 85, 122]
Generated Node #2: [2, 85, 122] from Operation: 56+66=122
Current State: 24:[2, 85, 122], Operations: ['56+66=122']
Exploring Operation: 122/2=61, Resulting Numbers: [85, 61]
Generated Node #3: [85, 61] from Operation: 122/2=61
Current State: 24:[85, 61], Operations: ['56+66=122', '122/2=61']
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
56,
70,
42,
95
] | 97 | [
"70+42=112",
"112/56=2",
"95+2=97"
] | Current State: 97:[56, 70, 42, 95], Operations: []
Exploring Operation: 70+42=112, Resulting Numbers: [56, 95, 112]
Generated Node #2: [56, 95, 112] from Operation: 70+42=112
Current State: 97:[56, 95, 112], Operations: ['70+42=112']
Exploring Operation: 112/56=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 112/56=2
Current State: 97:[95, 2], Operations: ['70+42=112', '112/56=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
51,
96,
4,
91
] | 86 | [
"91-51=40",
"40/4=10",
"96-10=86"
] | Current State: 86:[51, 96, 4, 91], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [96, 4, 40]
Generated Node #2: [96, 4, 40] from Operation: 91-51=40
Current State: 86:[96, 4, 40], Operations: ['91-51=40']
Exploring Operation: 40/4=10, Resulting Numbers: [96, 10]
Generated Node #3: [96, 10] from Operation: 40/4=10
Current State: 86:[96, 10], Operations: ['91-51=40', '40/4=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
69,
53,
16,
73
] | 11 | [
"73-69=4",
"16*4=64",
"64-53=11"
] | Current State: 11:[69, 53, 16, 73], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [53, 16, 4]
Generated Node #2: [53, 16, 4] from Operation: 73-69=4
Current State: 11:[53, 16, 4], Operations: ['73-69=4']
Exploring Operation: 16*4=64, Resulting Numbers: [53, 64]
Generated Node #3: [53, 64] from Operation: 16*4=64
Current State: 11:[53, 64], Operations: ['73-69=4', '16*4=64']
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
5,
98,
81,
16
] | 98 | [
"5*16=80",
"81-80=1",
"98*1=98"
] | Current State: 98:[5, 98, 81, 16], Operations: []
Exploring Operation: 5*16=80, Resulting Numbers: [98, 81, 80]
Generated Node #2: [98, 81, 80] from Operation: 5*16=80
Current State: 98:[98, 81, 80], Operations: ['5*16=80']
Exploring Operation: 81-80=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 81-80=1
Current State: 98:[98, 1], Operations: ['5*16=80', '81-80=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
62,
1,
28,
45
] | 46 | [
"62+1=63",
"45-28=17",
"63-17=46"
] | Current State: 46:[62, 1, 28, 45], Operations: []
Exploring Operation: 62+1=63, Resulting Numbers: [28, 45, 63]
Generated Node #2: [28, 45, 63] from Operation: 62+1=63
Current State: 46:[28, 45, 63], Operations: ['62+1=63']
Exploring Operation: 45-28=17, Resulting Numbers: [63, 17]
Generated Node #3: [63, 17] from Operation: 45-28=17
Current State: 46:[63, 17], Operations: ['62+1=63', '45-28=17']
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
83,
86,
86,
66
] | 60 | [
"86-83=3",
"86-66=20",
"3*20=60"
] | Current State: 60:[83, 86, 86, 66], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [66, 3]
Generated Node #2: [66, 3] from Operation: 86-83=3
Current State: 60:[66, 3], Operations: ['86-83=3']
Exploring Operation: 86-66=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 86-66=20
Current State: 60:[3, 20], Operations: ['86-83=3', '86-66=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
68,
92,
39,
91
] | 29 | [
"68-39=29",
"92-91=1",
"29*1=29"
] | Current State: 29:[68, 92, 39, 91], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [92, 91, 29]
Generated Node #2: [92, 91, 29] from Operation: 68-39=29
Current State: 29:[92, 91, 29], Operations: ['68-39=29']
Exploring Operation: 92-91=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 92-91=1
Current State: 29:[29, 1], Operations: ['68-39=29', '92-91=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
56,
64,
16,
51
] | 75 | [
"64-56=8",
"16+51=67",
"8+67=75"
] | Current State: 75:[56, 64, 16, 51], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [16, 51, 8]
Generated Node #2: [16, 51, 8] from Operation: 64-56=8
Current State: 75:[16, 51, 8], Operations: ['64-56=8']
Exploring Operation: 16+51=67, Resulting Numbers: [8, 67]
Generated Node #3: [8, 67] from Operation: 16+51=67
Current State: 75:[8, 67], Operations: ['64-56=8', '16+51=67']
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
18,
57,
95,
90
] | 76 | [
"18*95=1710",
"1710/90=19",
"57+19=76"
] | Current State: 76:[18, 57, 95, 90], Operations: []
Exploring Operation: 18*95=1710, Resulting Numbers: [57, 90, 1710]
Generated Node #2: [57, 90, 1710] from Operation: 18*95=1710
Current State: 76:[57, 90, 1710], Operations: ['18*95=1710']
Exploring Operation: 1710/90=19, Resulting Numbers: [57, 19]
Generated Node #3: [57, 19] from Operation: 1710/90=19
Current State: 76:[57, 19], Operations: ['18*95=1710', '1710/90=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
55,
92,
25,
29
] | 91 | [
"92-55=37",
"25+29=54",
"37+54=91"
] | Current State: 91:[55, 92, 25, 29], Operations: []
Exploring Operation: 92-55=37, Resulting Numbers: [25, 29, 37]
Generated Node #2: [25, 29, 37] from Operation: 92-55=37
Current State: 91:[25, 29, 37], Operations: ['92-55=37']
Exploring Operation: 25+29=54, Resulting Numbers: [37, 54]
Generated Node #3: [37, 54] from Operation: 25+29=54
Current State: 91:[37, 54], Operations: ['92-55=37', '25+29=54']
Exploring Operation: 37+54=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
84,
64,
63,
44
] | 82 | [
"84*63=5292",
"5292-44=5248",
"5248/64=82"
] | Current State: 82:[84, 64, 63, 44], Operations: []
Exploring Operation: 84*63=5292, Resulting Numbers: [64, 44, 5292]
Generated Node #2: [64, 44, 5292] from Operation: 84*63=5292
Current State: 82:[64, 44, 5292], Operations: ['84*63=5292']
Exploring Operation: 5292-44=5248, Resulting Numbers: [64, 5248]
Generated Node #3: [64, 5248] from Operation: 5292-44=5248
Current State: 82:[64, 5248], Operations: ['84*63=5292', '5292-44=5248']
Exploring Operation: 5248/64=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
18,
77,
51,
5
] | 55 | [
"77-5=72",
"72/18=4",
"51+4=55"
] | Current State: 55:[18, 77, 51, 5], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [18, 51, 72]
Generated Node #2: [18, 51, 72] from Operation: 77-5=72
Current State: 55:[18, 51, 72], Operations: ['77-5=72']
Exploring Operation: 72/18=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 72/18=4
Current State: 55:[51, 4], Operations: ['77-5=72', '72/18=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
8,
31,
26,
28
] | 78 | [
"8+31=39",
"28-26=2",
"39*2=78"
] | Current State: 78:[8, 31, 26, 28], Operations: []
Exploring Operation: 8+31=39, Resulting Numbers: [26, 28, 39]
Generated Node #2: [26, 28, 39] from Operation: 8+31=39
Current State: 78:[26, 28, 39], Operations: ['8+31=39']
Exploring Operation: 28-26=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 28-26=2
Current State: 78:[39, 2], Operations: ['8+31=39', '28-26=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
81,
94,
93,
30
] | 50 | [
"94-81=13",
"93-30=63",
"63-13=50"
] | Current State: 50:[81, 94, 93, 30], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [93, 30, 13]
Generated Node #2: [93, 30, 13] from Operation: 94-81=13
Current State: 50:[93, 30, 13], Operations: ['94-81=13']
Exploring Operation: 93-30=63, Resulting Numbers: [13, 63]
Generated Node #3: [13, 63] from Operation: 93-30=63
Current State: 50:[13, 63], Operations: ['94-81=13', '93-30=63']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
56,
63,
96,
35
] | 73 | [
"63*96=6048",
"6048/56=108",
"108-35=73"
] | Current State: 73:[56, 63, 96, 35], Operations: []
Exploring Operation: 63*96=6048, Resulting Numbers: [56, 35, 6048]
Generated Node #2: [56, 35, 6048] from Operation: 63*96=6048
Current State: 73:[56, 35, 6048], Operations: ['63*96=6048']
Exploring Operation: 6048/56=108, Resulting Numbers: [35, 108]
Generated Node #3: [35, 108] from Operation: 6048/56=108
Current State: 73:[35, 108], Operations: ['63*96=6048', '6048/56=108']
Exploring Operation: 108-35=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
47,
50,
75,
42
] | 89 | [
"50-47=3",
"42/3=14",
"75+14=89"
] | Current State: 89:[47, 50, 75, 42], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [75, 42, 3]
Generated Node #2: [75, 42, 3] from Operation: 50-47=3
Current State: 89:[75, 42, 3], Operations: ['50-47=3']
Exploring Operation: 42/3=14, Resulting Numbers: [75, 14]
Generated Node #3: [75, 14] from Operation: 42/3=14
Current State: 89:[75, 14], Operations: ['50-47=3', '42/3=14']
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
38,
83,
95,
26
] | 18 | [
"95*26=2470",
"2470/38=65",
"83-65=18"
] | Current State: 18:[38, 83, 95, 26], Operations: []
Exploring Operation: 95*26=2470, Resulting Numbers: [38, 83, 2470]
Generated Node #2: [38, 83, 2470] from Operation: 95*26=2470
Current State: 18:[38, 83, 2470], Operations: ['95*26=2470']
Exploring Operation: 2470/38=65, Resulting Numbers: [83, 65]
Generated Node #3: [83, 65] from Operation: 2470/38=65
Current State: 18:[83, 65], Operations: ['95*26=2470', '2470/38=65']
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
43,
62,
38,
72
] | 46 | [
"62-38=24",
"72/24=3",
"43+3=46"
] | Current State: 46:[43, 62, 38, 72], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [43, 72, 24]
Generated Node #2: [43, 72, 24] from Operation: 62-38=24
Current State: 46:[43, 72, 24], Operations: ['62-38=24']
Exploring Operation: 72/24=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 72/24=3
Current State: 46:[43, 3], Operations: ['62-38=24', '72/24=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
12,
61,
15,
36
] | 28 | [
"61-12=49",
"36-15=21",
"49-21=28"
] | Current State: 28:[12, 61, 15, 36], Operations: []
Exploring Operation: 61-12=49, Resulting Numbers: [15, 36, 49]
Generated Node #2: [15, 36, 49] from Operation: 61-12=49
Current State: 28:[15, 36, 49], Operations: ['61-12=49']
Exploring Operation: 36-15=21, Resulting Numbers: [49, 21]
Generated Node #3: [49, 21] from Operation: 36-15=21
Current State: 28:[49, 21], Operations: ['61-12=49', '36-15=21']
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
94,
53,
72,
74
] | 100 | [
"74-72=2",
"94/2=47",
"53+47=100"
] | Current State: 100:[94, 53, 72, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [94, 53, 2]
Generated Node #2: [94, 53, 2] from Operation: 74-72=2
Current State: 100:[94, 53, 2], Operations: ['74-72=2']
Exploring Operation: 94/2=47, Resulting Numbers: [53, 47]
Generated Node #3: [53, 47] from Operation: 94/2=47
Current State: 100:[53, 47], Operations: ['74-72=2', '94/2=47']
Exploring Operation: 53+47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
26,
26,
42,
47
] | 57 | [
"26+26=52",
"47-42=5",
"52+5=57"
] | Current State: 57:[26, 26, 42, 47], Operations: []
Exploring Operation: 26+26=52, Resulting Numbers: [42, 47, 52]
Generated Node #2: [42, 47, 52] from Operation: 26+26=52
Current State: 57:[42, 47, 52], Operations: ['26+26=52']
Exploring Operation: 47-42=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 47-42=5
Current State: 57:[52, 5], Operations: ['26+26=52', '47-42=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
17,
12,
6,
33
] | 52 | [
"17+33=50",
"12/6=2",
"50+2=52"
] | Current State: 52:[17, 12, 6, 33], Operations: []
Exploring Operation: 17+33=50, Resulting Numbers: [12, 6, 50]
Generated Node #2: [12, 6, 50] from Operation: 17+33=50
Current State: 52:[12, 6, 50], Operations: ['17+33=50']
Exploring Operation: 12/6=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 12/6=2
Current State: 52:[50, 2], Operations: ['17+33=50', '12/6=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
97,
88,
47,
3
] | 44 | [
"97+88=185",
"47*3=141",
"185-141=44"
] | Current State: 44:[97, 88, 47, 3], Operations: []
Exploring Operation: 97+88=185, Resulting Numbers: [47, 3, 185]
Generated Node #2: [47, 3, 185] from Operation: 97+88=185
Current State: 44:[47, 3, 185], Operations: ['97+88=185']
Exploring Operation: 47*3=141, Resulting Numbers: [185, 141]
Generated Node #3: [185, 141] from Operation: 47*3=141
Current State: 44:[185, 141], Operations: ['97+88=185', '47*3=141']
Exploring Operation: 185-141=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
92,
28,
98,
47
] | 69 | [
"92+28=120",
"98-47=51",
"120-51=69"
] | Current State: 69:[92, 28, 98, 47], Operations: []
Exploring Operation: 92+28=120, Resulting Numbers: [98, 47, 120]
Generated Node #2: [98, 47, 120] from Operation: 92+28=120
Current State: 69:[98, 47, 120], Operations: ['92+28=120']
Exploring Operation: 98-47=51, Resulting Numbers: [120, 51]
Generated Node #3: [120, 51] from Operation: 98-47=51
Current State: 69:[120, 51], Operations: ['92+28=120', '98-47=51']
Exploring Operation: 120-51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
68,
7,
26,
76
] | 26 | [
"68+7=75",
"76-75=1",
"26*1=26"
] | Current State: 26:[68, 7, 26, 76], Operations: []
Exploring Operation: 68+7=75, Resulting Numbers: [26, 76, 75]
Generated Node #2: [26, 76, 75] from Operation: 68+7=75
Current State: 26:[26, 76, 75], Operations: ['68+7=75']
Exploring Operation: 76-75=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 76-75=1
Current State: 26:[26, 1], Operations: ['68+7=75', '76-75=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
92,
85,
88,
70
] | 11 | [
"92-85=7",
"88-70=18",
"18-7=11"
] | Current State: 11:[92, 85, 88, 70], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [88, 70, 7]
Generated Node #2: [88, 70, 7] from Operation: 92-85=7
Current State: 11:[88, 70, 7], Operations: ['92-85=7']
Exploring Operation: 88-70=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 88-70=18
Current State: 11:[7, 18], Operations: ['92-85=7', '88-70=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
25,
86,
43,
74
] | 47 | [
"74-25=49",
"86/43=2",
"49-2=47"
] | Current State: 47:[25, 86, 43, 74], Operations: []
Exploring Operation: 74-25=49, Resulting Numbers: [86, 43, 49]
Generated Node #2: [86, 43, 49] from Operation: 74-25=49
Current State: 47:[86, 43, 49], Operations: ['74-25=49']
Exploring Operation: 86/43=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 86/43=2
Current State: 47:[49, 2], Operations: ['74-25=49', '86/43=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
4,
5,
68,
21
] | 89 | [
"5-4=1",
"68+21=89",
"1*89=89"
] | Current State: 89:[4, 5, 68, 21], Operations: []
Exploring Operation: 5-4=1, Resulting Numbers: [68, 21, 1]
Generated Node #2: [68, 21, 1] from Operation: 5-4=1
Current State: 89:[68, 21, 1], Operations: ['5-4=1']
Exploring Operation: 68+21=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 68+21=89
Current State: 89:[1, 89], Operations: ['5-4=1', '68+21=89']
Exploring Operation: 1*89=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
48,
37,
66,
48
] | 54 | [
"48-37=11",
"66/11=6",
"48+6=54"
] | Current State: 54:[48, 37, 66, 48], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [66, 11]
Generated Node #2: [66, 11] from Operation: 48-37=11
Current State: 54:[66, 11], Operations: ['48-37=11']
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,54 equal: Goal Reached
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
43,
95,
38,
32
] | 23 | [
"43+95=138",
"38-32=6",
"138/6=23"
] | Current State: 23:[43, 95, 38, 32], Operations: []
Exploring Operation: 43+95=138, Resulting Numbers: [38, 32, 138]
Generated Node #2: [38, 32, 138] from Operation: 43+95=138
Current State: 23:[38, 32, 138], Operations: ['43+95=138']
Exploring Operation: 38-32=6, Resulting Numbers: [138, 6]
Generated Node #3: [138, 6] from Operation: 38-32=6
Current State: 23:[138, 6], Operations: ['43+95=138', '38-32=6']
Exploring Operation: 138/6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
44,
37,
61,
5
] | 59 | [
"44-37=7",
"61+5=66",
"66-7=59"
] | Current State: 59:[44, 37, 61, 5], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [61, 5, 7]
Generated Node #2: [61, 5, 7] from Operation: 44-37=7
Current State: 59:[61, 5, 7], Operations: ['44-37=7']
Exploring Operation: 61+5=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 61+5=66
Current State: 59:[7, 66], Operations: ['44-37=7', '61+5=66']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
2,
7,
77,
67
] | 54 | [
"67-2=65",
"77/7=11",
"65-11=54"
] | Current State: 54:[2, 7, 77, 67], Operations: []
Exploring Operation: 67-2=65, Resulting Numbers: [7, 77, 65]
Generated Node #2: [7, 77, 65] from Operation: 67-2=65
Current State: 54:[7, 77, 65], Operations: ['67-2=65']
Exploring Operation: 77/7=11, Resulting Numbers: [65, 11]
Generated Node #3: [65, 11] from Operation: 77/7=11
Current State: 54:[65, 11], Operations: ['67-2=65', '77/7=11']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
69,
2,
60,
41
] | 30 | [
"69+2=71",
"60+41=101",
"101-71=30"
] | Current State: 30:[69, 2, 60, 41], Operations: []
Exploring Operation: 69+2=71, Resulting Numbers: [60, 41, 71]
Generated Node #2: [60, 41, 71] from Operation: 69+2=71
Current State: 30:[60, 41, 71], Operations: ['69+2=71']
Exploring Operation: 60+41=101, Resulting Numbers: [71, 101]
Generated Node #3: [71, 101] from Operation: 60+41=101
Current State: 30:[71, 101], Operations: ['69+2=71', '60+41=101']
Exploring Operation: 101-71=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
29,
31,
71,
23
] | 25 | [
"31-29=2",
"23*2=46",
"71-46=25"
] | Current State: 25:[29, 31, 71, 23], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [71, 23, 2]
Generated Node #2: [71, 23, 2] from Operation: 31-29=2
Current State: 25:[71, 23, 2], Operations: ['31-29=2']
Exploring Operation: 23*2=46, Resulting Numbers: [71, 46]
Generated Node #3: [71, 46] from Operation: 23*2=46
Current State: 25:[71, 46], Operations: ['31-29=2', '23*2=46']
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
17,
3,
82,
2
] | 59 | [
"82-17=65",
"3*2=6",
"65-6=59"
] | Current State: 59:[17, 3, 82, 2], Operations: []
Exploring Operation: 82-17=65, Resulting Numbers: [3, 2, 65]
Generated Node #2: [3, 2, 65] from Operation: 82-17=65
Current State: 59:[3, 2, 65], Operations: ['82-17=65']
Exploring Operation: 3*2=6, Resulting Numbers: [65, 6]
Generated Node #3: [65, 6] from Operation: 3*2=6
Current State: 59:[65, 6], Operations: ['82-17=65', '3*2=6']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
11,
49,
49,
72
] | 84 | [
"11+72=83",
"49/49=1",
"83+1=84"
] | Current State: 84:[11, 49, 49, 72], Operations: []
Exploring Operation: 11+72=83, Resulting Numbers: [49, 49, 83]
Generated Node #2: [49, 49, 83] from Operation: 11+72=83
Current State: 84:[49, 49, 83], Operations: ['11+72=83']
Exploring Operation: 49/49=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 49/49=1
Current State: 84:[83, 1], Operations: ['11+72=83', '49/49=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
90,
72,
13
] | 78 | [
"2+13=15",
"90/15=6",
"72+6=78"
] | Current State: 78:[2, 90, 72, 13], Operations: []
Exploring Operation: 2+13=15, Resulting Numbers: [90, 72, 15]
Generated Node #2: [90, 72, 15] from Operation: 2+13=15
Current State: 78:[90, 72, 15], Operations: ['2+13=15']
Exploring Operation: 90/15=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 90/15=6
Current State: 78:[72, 6], Operations: ['2+13=15', '90/15=6']
Exploring Operation: 72+6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
45,
41,
45,
93
] | 87 | [
"45-41=4",
"45*4=180",
"180-93=87"
] | Current State: 87:[45, 41, 45, 93], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [93, 4]
Generated Node #2: [93, 4] from Operation: 45-41=4
Current State: 87:[93, 4], Operations: ['45-41=4']
Exploring Operation: 45*4=180, Resulting Numbers: [93, 180]
Generated Node #3: [93, 180] from Operation: 45*4=180
Current State: 87:[93, 180], Operations: ['45-41=4', '45*4=180']
Exploring Operation: 180-93=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
20,
35,
23,
21
] | 99 | [
"20+35=55",
"23+21=44",
"55+44=99"
] | Current State: 99:[20, 35, 23, 21], Operations: []
Exploring Operation: 20+35=55, Resulting Numbers: [23, 21, 55]
Generated Node #2: [23, 21, 55] from Operation: 20+35=55
Current State: 99:[23, 21, 55], Operations: ['20+35=55']
Exploring Operation: 23+21=44, Resulting Numbers: [55, 44]
Generated Node #3: [55, 44] from Operation: 23+21=44
Current State: 99:[55, 44], Operations: ['20+35=55', '23+21=44']
Exploring Operation: 55+44=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
82,
1,
6
] | 74 | [
"82-2=80",
"1*6=6",
"80-6=74"
] | Current State: 74:[2, 82, 1, 6], Operations: []
Exploring Operation: 82-2=80, Resulting Numbers: [1, 6, 80]
Generated Node #2: [1, 6, 80] from Operation: 82-2=80
Current State: 74:[1, 6, 80], Operations: ['82-2=80']
Exploring Operation: 1*6=6, Resulting Numbers: [80, 6]
Generated Node #3: [80, 6] from Operation: 1*6=6
Current State: 74:[80, 6], Operations: ['82-2=80', '1*6=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
1,
5,
11,
4
] | 80 | [
"1+11=12",
"4+12=16",
"5*16=80"
] | Current State: 80:[1, 5, 11, 4], Operations: []
Exploring Operation: 1+11=12, Resulting Numbers: [5, 4, 12]
Generated Node #2: [5, 4, 12] from Operation: 1+11=12
Current State: 80:[5, 4, 12], Operations: ['1+11=12']
Exploring Operation: 4+12=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 4+12=16
Current State: 80:[5, 16], Operations: ['1+11=12', '4+12=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
58,
90,
36,
99
] | 85 | [
"58+90=148",
"99-36=63",
"148-63=85"
] | Current State: 85:[58, 90, 36, 99], Operations: []
Exploring Operation: 58+90=148, Resulting Numbers: [36, 99, 148]
Generated Node #2: [36, 99, 148] from Operation: 58+90=148
Current State: 85:[36, 99, 148], Operations: ['58+90=148']
Exploring Operation: 99-36=63, Resulting Numbers: [148, 63]
Generated Node #3: [148, 63] from Operation: 99-36=63
Current State: 85:[148, 63], Operations: ['58+90=148', '99-36=63']
Exploring Operation: 148-63=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
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