nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
26,
48,
40,
75
] | 39 | [
"26+48=74",
"75-40=35",
"74-35=39"
] | Current State: 39:[26, 48, 40, 75], Operations: []
Exploring Operation: 26+48=74, Resulting Numbers: [40, 75, 74]
Generated Node #2: [40, 75, 74] from Operation: 26+48=74
Current State: 39:[40, 75, 74], Operations: ['26+48=74']
Exploring Operation: 75-40=35, Resulting Numbers: [74, 35]
Generated Node #3: [74, 35] from Operation: 75-40=35
Current State: 39:[74, 35], Operations: ['26+48=74', '75-40=35']
Exploring Operation: 74-35=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
53,
38,
23,
58
] | 50 | [
"53-38=15",
"58-23=35",
"15+35=50"
] | Current State: 50:[53, 38, 23, 58], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [23, 58, 15]
Generated Node #2: [23, 58, 15] from Operation: 53-38=15
Current State: 50:[23, 58, 15], Operations: ['53-38=15']
Exploring Operation: 58-23=35, Resulting Numbers: [15, 35]
Generated Node #3: [15, 35] from Operation: 58-23=35
Current State: 50:[15, 35], Operations: ['53-38=15', '58-23=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
10,
57,
17,
66
] | 96 | [
"57-10=47",
"66-17=49",
"47+49=96"
] | Current State: 96:[10, 57, 17, 66], Operations: []
Exploring Operation: 57-10=47, Resulting Numbers: [17, 66, 47]
Generated Node #2: [17, 66, 47] from Operation: 57-10=47
Current State: 96:[17, 66, 47], Operations: ['57-10=47']
Exploring Operation: 66-17=49, Resulting Numbers: [47, 49]
Generated Node #3: [47, 49] from Operation: 66-17=49
Current State: 96:[47, 49], Operations: ['57-10=47', '66-17=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
95,
90,
31,
50
] | 18 | [
"50-31=19",
"95/19=5",
"90/5=18"
] | Current State: 18:[95, 90, 31, 50], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [95, 90, 19]
Generated Node #2: [95, 90, 19] from Operation: 50-31=19
Current State: 18:[95, 90, 19], Operations: ['50-31=19']
Exploring Operation: 95/19=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 95/19=5
Current State: 18:[90, 5], Operations: ['50-31=19', '95/19=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
12,
88,
20,
11
] | 85 | [
"88-12=76",
"20-11=9",
"76+9=85"
] | Current State: 85:[12, 88, 20, 11], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [20, 11, 76]
Generated Node #2: [20, 11, 76] from Operation: 88-12=76
Current State: 85:[20, 11, 76], Operations: ['88-12=76']
Exploring Operation: 20-11=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 20-11=9
Current State: 85:[76, 9], Operations: ['88-12=76', '20-11=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
30,
99,
48
] | 86 | [
"5+30=35",
"99-48=51",
"35+51=86"
] | Current State: 86:[5, 30, 99, 48], Operations: []
Exploring Operation: 5+30=35, Resulting Numbers: [99, 48, 35]
Generated Node #2: [99, 48, 35] from Operation: 5+30=35
Current State: 86:[99, 48, 35], Operations: ['5+30=35']
Exploring Operation: 99-48=51, Resulting Numbers: [35, 51]
Generated Node #3: [35, 51] from Operation: 99-48=51
Current State: 86:[35, 51], Operations: ['5+30=35', '99-48=51']
Exploring Operation: 35+51=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
76,
65,
16,
12
] | 84 | [
"16-12=4",
"76/4=19",
"65+19=84"
] | Current State: 84:[76, 65, 16, 12], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [76, 65, 4]
Generated Node #2: [76, 65, 4] from Operation: 16-12=4
Current State: 84:[76, 65, 4], Operations: ['16-12=4']
Exploring Operation: 76/4=19, Resulting Numbers: [65, 19]
Generated Node #3: [65, 19] from Operation: 76/4=19
Current State: 84:[65, 19], Operations: ['16-12=4', '76/4=19']
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
28,
65,
42,
45
] | 35 | [
"28*45=1260",
"1260/42=30",
"65-30=35"
] | Current State: 35:[28, 65, 42, 45], Operations: []
Exploring Operation: 28*45=1260, Resulting Numbers: [65, 42, 1260]
Generated Node #2: [65, 42, 1260] from Operation: 28*45=1260
Current State: 35:[65, 42, 1260], Operations: ['28*45=1260']
Exploring Operation: 1260/42=30, Resulting Numbers: [65, 30]
Generated Node #3: [65, 30] from Operation: 1260/42=30
Current State: 35:[65, 30], Operations: ['28*45=1260', '1260/42=30']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
41,
99,
9,
66
] | 35 | [
"99/9=11",
"66/11=6",
"41-6=35"
] | Current State: 35:[41, 99, 9, 66], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [41, 66, 11]
Generated Node #2: [41, 66, 11] from Operation: 99/9=11
Current State: 35:[41, 66, 11], Operations: ['99/9=11']
Exploring Operation: 66/11=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 66/11=6
Current State: 35:[41, 6], Operations: ['99/9=11', '66/11=6']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
54,
94,
70,
27
] | 18 | [
"94-70=24",
"27-24=3",
"54/3=18"
] | Current State: 18:[54, 94, 70, 27], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [54, 27, 24]
Generated Node #2: [54, 27, 24] from Operation: 94-70=24
Current State: 18:[54, 27, 24], Operations: ['94-70=24']
Exploring Operation: 27-24=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 27-24=3
Current State: 18:[54, 3], Operations: ['94-70=24', '27-24=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
44,
4,
56,
21
] | 83 | [
"44+4=48",
"56-21=35",
"48+35=83"
] | Current State: 83:[44, 4, 56, 21], Operations: []
Exploring Operation: 44+4=48, Resulting Numbers: [56, 21, 48]
Generated Node #2: [56, 21, 48] from Operation: 44+4=48
Current State: 83:[56, 21, 48], Operations: ['44+4=48']
Exploring Operation: 56-21=35, Resulting Numbers: [48, 35]
Generated Node #3: [48, 35] from Operation: 56-21=35
Current State: 83:[48, 35], Operations: ['44+4=48', '56-21=35']
Exploring Operation: 48+35=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
12,
49,
39,
7
] | 69 | [
"49-12=37",
"39-7=32",
"37+32=69"
] | Current State: 69:[12, 49, 39, 7], Operations: []
Exploring Operation: 49-12=37, Resulting Numbers: [39, 7, 37]
Generated Node #2: [39, 7, 37] from Operation: 49-12=37
Current State: 69:[39, 7, 37], Operations: ['49-12=37']
Exploring Operation: 39-7=32, Resulting Numbers: [37, 32]
Generated Node #3: [37, 32] from Operation: 39-7=32
Current State: 69:[37, 32], Operations: ['49-12=37', '39-7=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
11,
83,
77,
29
] | 61 | [
"77/11=7",
"83-29=54",
"7+54=61"
] | Current State: 61:[11, 83, 77, 29], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [83, 29, 7]
Generated Node #2: [83, 29, 7] from Operation: 77/11=7
Current State: 61:[83, 29, 7], Operations: ['77/11=7']
Exploring Operation: 83-29=54, Resulting Numbers: [7, 54]
Generated Node #3: [7, 54] from Operation: 83-29=54
Current State: 61:[7, 54], Operations: ['77/11=7', '83-29=54']
Exploring Operation: 7+54=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
57,
90,
54,
72
] | 63 | [
"90*72=6480",
"6480/54=120",
"120-57=63"
] | Current State: 63:[57, 90, 54, 72], Operations: []
Exploring Operation: 90*72=6480, Resulting Numbers: [57, 54, 6480]
Generated Node #2: [57, 54, 6480] from Operation: 90*72=6480
Current State: 63:[57, 54, 6480], Operations: ['90*72=6480']
Exploring Operation: 6480/54=120, Resulting Numbers: [57, 120]
Generated Node #3: [57, 120] from Operation: 6480/54=120
Current State: 63:[57, 120], Operations: ['90*72=6480', '6480/54=120']
Exploring Operation: 120-57=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
44,
65,
76,
68
] | 77 | [
"65+68=133",
"44*133=5852",
"5852/76=77"
] | Current State: 77:[44, 65, 76, 68], Operations: []
Exploring Operation: 65+68=133, Resulting Numbers: [44, 76, 133]
Generated Node #2: [44, 76, 133] from Operation: 65+68=133
Current State: 77:[44, 76, 133], Operations: ['65+68=133']
Exploring Operation: 44*133=5852, Resulting Numbers: [76, 5852]
Generated Node #3: [76, 5852] from Operation: 44*133=5852
Current State: 77:[76, 5852], Operations: ['65+68=133', '44*133=5852']
Exploring Operation: 5852/76=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
4,
13,
43,
6
] | 11 | [
"13-4=9",
"6*9=54",
"54-43=11"
] | Current State: 11:[4, 13, 43, 6], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [43, 6, 9]
Generated Node #2: [43, 6, 9] from Operation: 13-4=9
Current State: 11:[43, 6, 9], Operations: ['13-4=9']
Exploring Operation: 6*9=54, Resulting Numbers: [43, 54]
Generated Node #3: [43, 54] from Operation: 6*9=54
Current State: 11:[43, 54], Operations: ['13-4=9', '6*9=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
51,
57,
36,
65
] | 47 | [
"36*65=2340",
"57+2340=2397",
"2397/51=47"
] | Current State: 47:[51, 57, 36, 65], Operations: []
Exploring Operation: 36*65=2340, Resulting Numbers: [51, 57, 2340]
Generated Node #2: [51, 57, 2340] from Operation: 36*65=2340
Current State: 47:[51, 57, 2340], Operations: ['36*65=2340']
Exploring Operation: 57+2340=2397, Resulting Numbers: [51, 2397]
Generated Node #3: [51, 2397] from Operation: 57+2340=2397
Current State: 47:[51, 2397], Operations: ['36*65=2340', '57+2340=2397']
Exploring Operation: 2397/51=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
13,
58,
93,
60
] | 40 | [
"93-13=80",
"60-58=2",
"80/2=40"
] | Current State: 40:[13, 58, 93, 60], Operations: []
Exploring Operation: 93-13=80, Resulting Numbers: [58, 60, 80]
Generated Node #2: [58, 60, 80] from Operation: 93-13=80
Current State: 40:[58, 60, 80], Operations: ['93-13=80']
Exploring Operation: 60-58=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 60-58=2
Current State: 40:[80, 2], Operations: ['93-13=80', '60-58=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
48,
97,
96,
71
] | 74 | [
"97-48=49",
"96-71=25",
"49+25=74"
] | Current State: 74:[48, 97, 96, 71], Operations: []
Exploring Operation: 97-48=49, Resulting Numbers: [96, 71, 49]
Generated Node #2: [96, 71, 49] from Operation: 97-48=49
Current State: 74:[96, 71, 49], Operations: ['97-48=49']
Exploring Operation: 96-71=25, Resulting Numbers: [49, 25]
Generated Node #3: [49, 25] from Operation: 96-71=25
Current State: 74:[49, 25], Operations: ['97-48=49', '96-71=25']
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
10,
77,
20,
80
] | 43 | [
"10*20=200",
"77+80=157",
"200-157=43"
] | Current State: 43:[10, 77, 20, 80], Operations: []
Exploring Operation: 10*20=200, Resulting Numbers: [77, 80, 200]
Generated Node #2: [77, 80, 200] from Operation: 10*20=200
Current State: 43:[77, 80, 200], Operations: ['10*20=200']
Exploring Operation: 77+80=157, Resulting Numbers: [200, 157]
Generated Node #3: [200, 157] from Operation: 77+80=157
Current State: 43:[200, 157], Operations: ['10*20=200', '77+80=157']
Exploring Operation: 200-157=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
6,
46,
16,
71
] | 15 | [
"46-6=40",
"71-16=55",
"55-40=15"
] | Current State: 15:[6, 46, 16, 71], Operations: []
Exploring Operation: 46-6=40, Resulting Numbers: [16, 71, 40]
Generated Node #2: [16, 71, 40] from Operation: 46-6=40
Current State: 15:[16, 71, 40], Operations: ['46-6=40']
Exploring Operation: 71-16=55, Resulting Numbers: [40, 55]
Generated Node #3: [40, 55] from Operation: 71-16=55
Current State: 15:[40, 55], Operations: ['46-6=40', '71-16=55']
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
74,
67,
20
] | 52 | [
"74-69=5",
"67-20=47",
"5+47=52"
] | Current State: 52:[69, 74, 67, 20], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [67, 20, 5]
Generated Node #2: [67, 20, 5] from Operation: 74-69=5
Current State: 52:[67, 20, 5], Operations: ['74-69=5']
Exploring Operation: 67-20=47, Resulting Numbers: [5, 47]
Generated Node #3: [5, 47] from Operation: 67-20=47
Current State: 52:[5, 47], Operations: ['74-69=5', '67-20=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
96,
6,
75,
90
] | 86 | [
"96*75=7200",
"7200/90=80",
"6+80=86"
] | Current State: 86:[96, 6, 75, 90], Operations: []
Exploring Operation: 96*75=7200, Resulting Numbers: [6, 90, 7200]
Generated Node #2: [6, 90, 7200] from Operation: 96*75=7200
Current State: 86:[6, 90, 7200], Operations: ['96*75=7200']
Exploring Operation: 7200/90=80, Resulting Numbers: [6, 80]
Generated Node #3: [6, 80] from Operation: 7200/90=80
Current State: 86:[6, 80], Operations: ['96*75=7200', '7200/90=80']
Exploring Operation: 6+80=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
3,
4,
27,
86
] | 99 | [
"27/3=9",
"4+86=90",
"9+90=99"
] | Current State: 99:[3, 4, 27, 86], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [4, 86, 9]
Generated Node #2: [4, 86, 9] from Operation: 27/3=9
Current State: 99:[4, 86, 9], Operations: ['27/3=9']
Exploring Operation: 4+86=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 4+86=90
Current State: 99:[9, 90], Operations: ['27/3=9', '4+86=90']
Exploring Operation: 9+90=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
48,
30,
89,
43
] | 95 | [
"48-43=5",
"30/5=6",
"89+6=95"
] | Current State: 95:[48, 30, 89, 43], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [30, 89, 5]
Generated Node #2: [30, 89, 5] from Operation: 48-43=5
Current State: 95:[30, 89, 5], Operations: ['48-43=5']
Exploring Operation: 30/5=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 30/5=6
Current State: 95:[89, 6], Operations: ['48-43=5', '30/5=6']
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
16,
18,
89,
32
] | 80 | [
"16*18=288",
"288/32=9",
"89-9=80"
] | Current State: 80:[16, 18, 89, 32], Operations: []
Exploring Operation: 16*18=288, Resulting Numbers: [89, 32, 288]
Generated Node #2: [89, 32, 288] from Operation: 16*18=288
Current State: 80:[89, 32, 288], Operations: ['16*18=288']
Exploring Operation: 288/32=9, Resulting Numbers: [89, 9]
Generated Node #3: [89, 9] from Operation: 288/32=9
Current State: 80:[89, 9], Operations: ['16*18=288', '288/32=9']
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
79,
84,
32,
20
] | 47 | [
"84-79=5",
"32+20=52",
"52-5=47"
] | Current State: 47:[79, 84, 32, 20], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [32, 20, 5]
Generated Node #2: [32, 20, 5] from Operation: 84-79=5
Current State: 47:[32, 20, 5], Operations: ['84-79=5']
Exploring Operation: 32+20=52, Resulting Numbers: [5, 52]
Generated Node #3: [5, 52] from Operation: 32+20=52
Current State: 47:[5, 52], Operations: ['84-79=5', '32+20=52']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
29,
2,
50,
13
] | 90 | [
"29-2=27",
"50+13=63",
"27+63=90"
] | Current State: 90:[29, 2, 50, 13], Operations: []
Exploring Operation: 29-2=27, Resulting Numbers: [50, 13, 27]
Generated Node #2: [50, 13, 27] from Operation: 29-2=27
Current State: 90:[50, 13, 27], Operations: ['29-2=27']
Exploring Operation: 50+13=63, Resulting Numbers: [27, 63]
Generated Node #3: [27, 63] from Operation: 50+13=63
Current State: 90:[27, 63], Operations: ['29-2=27', '50+13=63']
Exploring Operation: 27+63=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
74,
76,
74,
12
] | 87 | [
"74/74=1",
"76+12=88",
"88-1=87"
] | Current State: 87:[74, 76, 74, 12], Operations: []
Exploring Operation: 74/74=1, Resulting Numbers: [76, 12, 1]
Generated Node #2: [76, 12, 1] from Operation: 74/74=1
Current State: 87:[76, 12, 1], Operations: ['74/74=1']
Exploring Operation: 76+12=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 76+12=88
Current State: 87:[1, 88], Operations: ['74/74=1', '76+12=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
73,
12,
47,
69
] | 59 | [
"73+47=120",
"120/12=10",
"69-10=59"
] | Current State: 59:[73, 12, 47, 69], Operations: []
Exploring Operation: 73+47=120, Resulting Numbers: [12, 69, 120]
Generated Node #2: [12, 69, 120] from Operation: 73+47=120
Current State: 59:[12, 69, 120], Operations: ['73+47=120']
Exploring Operation: 120/12=10, Resulting Numbers: [69, 10]
Generated Node #3: [69, 10] from Operation: 120/12=10
Current State: 59:[69, 10], Operations: ['73+47=120', '120/12=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
10,
2,
32,
41
] | 33 | [
"41-10=31",
"2*32=64",
"64-31=33"
] | Current State: 33:[10, 2, 32, 41], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [2, 32, 31]
Generated Node #2: [2, 32, 31] from Operation: 41-10=31
Current State: 33:[2, 32, 31], Operations: ['41-10=31']
Exploring Operation: 2*32=64, Resulting Numbers: [31, 64]
Generated Node #3: [31, 64] from Operation: 2*32=64
Current State: 33:[31, 64], Operations: ['41-10=31', '2*32=64']
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
34,
2,
89,
9
] | 97 | [
"34/2=17",
"89-9=80",
"17+80=97"
] | Current State: 97:[34, 2, 89, 9], Operations: []
Exploring Operation: 34/2=17, Resulting Numbers: [89, 9, 17]
Generated Node #2: [89, 9, 17] from Operation: 34/2=17
Current State: 97:[89, 9, 17], Operations: ['34/2=17']
Exploring Operation: 89-9=80, Resulting Numbers: [17, 80]
Generated Node #3: [17, 80] from Operation: 89-9=80
Current State: 97:[17, 80], Operations: ['34/2=17', '89-9=80']
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
55,
74,
8,
10
] | 37 | [
"74-55=19",
"8+10=18",
"19+18=37"
] | Current State: 37:[55, 74, 8, 10], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [8, 10, 19]
Generated Node #2: [8, 10, 19] from Operation: 74-55=19
Current State: 37:[8, 10, 19], Operations: ['74-55=19']
Exploring Operation: 8+10=18, Resulting Numbers: [19, 18]
Generated Node #3: [19, 18] from Operation: 8+10=18
Current State: 37:[19, 18], Operations: ['74-55=19', '8+10=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
15,
82,
65,
21
] | 42 | [
"82-15=67",
"67-65=2",
"21*2=42"
] | Current State: 42:[15, 82, 65, 21], Operations: []
Exploring Operation: 82-15=67, Resulting Numbers: [65, 21, 67]
Generated Node #2: [65, 21, 67] from Operation: 82-15=67
Current State: 42:[65, 21, 67], Operations: ['82-15=67']
Exploring Operation: 67-65=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 67-65=2
Current State: 42:[21, 2], Operations: ['82-15=67', '67-65=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
92,
45,
21,
47
] | 25 | [
"47-45=2",
"92/2=46",
"46-21=25"
] | Current State: 25:[92, 45, 21, 47], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [92, 21, 2]
Generated Node #2: [92, 21, 2] from Operation: 47-45=2
Current State: 25:[92, 21, 2], Operations: ['47-45=2']
Exploring Operation: 92/2=46, Resulting Numbers: [21, 46]
Generated Node #3: [21, 46] from Operation: 92/2=46
Current State: 25:[21, 46], Operations: ['47-45=2', '92/2=46']
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
32,
70,
97,
51
] | 46 | [
"32+70=102",
"97+51=148",
"148-102=46"
] | Current State: 46:[32, 70, 97, 51], Operations: []
Exploring Operation: 32+70=102, Resulting Numbers: [97, 51, 102]
Generated Node #2: [97, 51, 102] from Operation: 32+70=102
Current State: 46:[97, 51, 102], Operations: ['32+70=102']
Exploring Operation: 97+51=148, Resulting Numbers: [102, 148]
Generated Node #3: [102, 148] from Operation: 97+51=148
Current State: 46:[102, 148], Operations: ['32+70=102', '97+51=148']
Exploring Operation: 148-102=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
4,
8,
41,
43
] | 42 | [
"8/4=2",
"41+43=84",
"84/2=42"
] | Current State: 42:[4, 8, 41, 43], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [41, 43, 2]
Generated Node #2: [41, 43, 2] from Operation: 8/4=2
Current State: 42:[41, 43, 2], Operations: ['8/4=2']
Exploring Operation: 41+43=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 41+43=84
Current State: 42:[2, 84], Operations: ['8/4=2', '41+43=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
58,
31,
28,
19
] | 42 | [
"58+31=89",
"28+19=47",
"89-47=42"
] | Current State: 42:[58, 31, 28, 19], Operations: []
Exploring Operation: 58+31=89, Resulting Numbers: [28, 19, 89]
Generated Node #2: [28, 19, 89] from Operation: 58+31=89
Current State: 42:[28, 19, 89], Operations: ['58+31=89']
Exploring Operation: 28+19=47, Resulting Numbers: [89, 47]
Generated Node #3: [89, 47] from Operation: 28+19=47
Current State: 42:[89, 47], Operations: ['58+31=89', '28+19=47']
Exploring Operation: 89-47=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
81,
14,
71,
79
] | 55 | [
"81+14=95",
"71+79=150",
"150-95=55"
] | Current State: 55:[81, 14, 71, 79], Operations: []
Exploring Operation: 81+14=95, Resulting Numbers: [71, 79, 95]
Generated Node #2: [71, 79, 95] from Operation: 81+14=95
Current State: 55:[71, 79, 95], Operations: ['81+14=95']
Exploring Operation: 71+79=150, Resulting Numbers: [95, 150]
Generated Node #3: [95, 150] from Operation: 71+79=150
Current State: 55:[95, 150], Operations: ['81+14=95', '71+79=150']
Exploring Operation: 150-95=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
38,
34,
86,
52
] | 39 | [
"86-34=52",
"52/52=1",
"38+1=39"
] | Current State: 39:[38, 34, 86, 52], Operations: []
Exploring Operation: 86-34=52, Resulting Numbers: [38, 52, 52]
Generated Node #2: [38, 52, 52] from Operation: 86-34=52
Current State: 39:[38, 52, 52], Operations: ['86-34=52']
Exploring Operation: 52/52=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 52/52=1
Current State: 39:[38, 1], Operations: ['86-34=52', '52/52=1']
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
65,
14,
91,
41
] | 31 | [
"65*14=910",
"910/91=10",
"41-10=31"
] | Current State: 31:[65, 14, 91, 41], Operations: []
Exploring Operation: 65*14=910, Resulting Numbers: [91, 41, 910]
Generated Node #2: [91, 41, 910] from Operation: 65*14=910
Current State: 31:[91, 41, 910], Operations: ['65*14=910']
Exploring Operation: 910/91=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 910/91=10
Current State: 31:[41, 10], Operations: ['65*14=910', '910/91=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
77,
18,
66,
61
] | 40 | [
"77*18=1386",
"1386/66=21",
"61-21=40"
] | Current State: 40:[77, 18, 66, 61], Operations: []
Exploring Operation: 77*18=1386, Resulting Numbers: [66, 61, 1386]
Generated Node #2: [66, 61, 1386] from Operation: 77*18=1386
Current State: 40:[66, 61, 1386], Operations: ['77*18=1386']
Exploring Operation: 1386/66=21, Resulting Numbers: [61, 21]
Generated Node #3: [61, 21] from Operation: 1386/66=21
Current State: 40:[61, 21], Operations: ['77*18=1386', '1386/66=21']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
98,
26,
47,
32
] | 52 | [
"98+32=130",
"130/26=5",
"47+5=52"
] | Current State: 52:[98, 26, 47, 32], Operations: []
Exploring Operation: 98+32=130, Resulting Numbers: [26, 47, 130]
Generated Node #2: [26, 47, 130] from Operation: 98+32=130
Current State: 52:[26, 47, 130], Operations: ['98+32=130']
Exploring Operation: 130/26=5, Resulting Numbers: [47, 5]
Generated Node #3: [47, 5] from Operation: 130/26=5
Current State: 52:[47, 5], Operations: ['98+32=130', '130/26=5']
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
9,
26,
66,
23
] | 72 | [
"26-9=17",
"66+23=89",
"89-17=72"
] | Current State: 72:[9, 26, 66, 23], Operations: []
Exploring Operation: 26-9=17, Resulting Numbers: [66, 23, 17]
Generated Node #2: [66, 23, 17] from Operation: 26-9=17
Current State: 72:[66, 23, 17], Operations: ['26-9=17']
Exploring Operation: 66+23=89, Resulting Numbers: [17, 89]
Generated Node #3: [17, 89] from Operation: 66+23=89
Current State: 72:[17, 89], Operations: ['26-9=17', '66+23=89']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
50,
86,
85,
12
] | 39 | [
"50+86=136",
"85+12=97",
"136-97=39"
] | Current State: 39:[50, 86, 85, 12], Operations: []
Exploring Operation: 50+86=136, Resulting Numbers: [85, 12, 136]
Generated Node #2: [85, 12, 136] from Operation: 50+86=136
Current State: 39:[85, 12, 136], Operations: ['50+86=136']
Exploring Operation: 85+12=97, Resulting Numbers: [136, 97]
Generated Node #3: [136, 97] from Operation: 85+12=97
Current State: 39:[136, 97], Operations: ['50+86=136', '85+12=97']
Exploring Operation: 136-97=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
25,
35,
35,
93
] | 48 | [
"35-25=10",
"93-35=58",
"58-10=48"
] | Current State: 48:[25, 35, 35, 93], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [93, 10]
Generated Node #2: [93, 10] from Operation: 35-25=10
Current State: 48:[93, 10], Operations: ['35-25=10']
Exploring Operation: 93-35=58, Resulting Numbers: [10, 58]
Generated Node #3: [10, 58] from Operation: 93-35=58
Current State: 48:[10, 58], Operations: ['35-25=10', '93-35=58']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
10,
69,
42,
1
] | 100 | [
"69-10=59",
"42-1=41",
"59+41=100"
] | Current State: 100:[10, 69, 42, 1], Operations: []
Exploring Operation: 69-10=59, Resulting Numbers: [42, 1, 59]
Generated Node #2: [42, 1, 59] from Operation: 69-10=59
Current State: 100:[42, 1, 59], Operations: ['69-10=59']
Exploring Operation: 42-1=41, Resulting Numbers: [59, 41]
Generated Node #3: [59, 41] from Operation: 42-1=41
Current State: 100:[59, 41], Operations: ['69-10=59', '42-1=41']
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
3,
70,
51,
6
] | 78 | [
"51-3=48",
"48/6=8",
"70+8=78"
] | Current State: 78:[3, 70, 51, 6], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [70, 6, 48]
Generated Node #2: [70, 6, 48] from Operation: 51-3=48
Current State: 78:[70, 6, 48], Operations: ['51-3=48']
Exploring Operation: 48/6=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 48/6=8
Current State: 78:[70, 8], Operations: ['51-3=48', '48/6=8']
Exploring Operation: 70+8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
44,
13,
34,
39
] | 62 | [
"44+13=57",
"39-34=5",
"57+5=62"
] | Current State: 62:[44, 13, 34, 39], Operations: []
Exploring Operation: 44+13=57, Resulting Numbers: [34, 39, 57]
Generated Node #2: [34, 39, 57] from Operation: 44+13=57
Current State: 62:[34, 39, 57], Operations: ['44+13=57']
Exploring Operation: 39-34=5, Resulting Numbers: [57, 5]
Generated Node #3: [57, 5] from Operation: 39-34=5
Current State: 62:[57, 5], Operations: ['44+13=57', '39-34=5']
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
15,
40,
50,
36
] | 38 | [
"40-15=25",
"50/25=2",
"36+2=38"
] | Current State: 38:[15, 40, 50, 36], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [50, 36, 25]
Generated Node #2: [50, 36, 25] from Operation: 40-15=25
Current State: 38:[50, 36, 25], Operations: ['40-15=25']
Exploring Operation: 50/25=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 50/25=2
Current State: 38:[36, 2], Operations: ['40-15=25', '50/25=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
29,
11,
58,
25
] | 73 | [
"29+11=40",
"58-25=33",
"40+33=73"
] | Current State: 73:[29, 11, 58, 25], Operations: []
Exploring Operation: 29+11=40, Resulting Numbers: [58, 25, 40]
Generated Node #2: [58, 25, 40] from Operation: 29+11=40
Current State: 73:[58, 25, 40], Operations: ['29+11=40']
Exploring Operation: 58-25=33, Resulting Numbers: [40, 33]
Generated Node #3: [40, 33] from Operation: 58-25=33
Current State: 73:[40, 33], Operations: ['29+11=40', '58-25=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
79,
36,
39,
21
] | 16 | [
"39-36=3",
"21*3=63",
"79-63=16"
] | Current State: 16:[79, 36, 39, 21], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [79, 21, 3]
Generated Node #2: [79, 21, 3] from Operation: 39-36=3
Current State: 16:[79, 21, 3], Operations: ['39-36=3']
Exploring Operation: 21*3=63, Resulting Numbers: [79, 63]
Generated Node #3: [79, 63] from Operation: 21*3=63
Current State: 16:[79, 63], Operations: ['39-36=3', '21*3=63']
Exploring Operation: 79-63=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
70,
93,
37,
13
] | 27 | [
"93-70=23",
"37+13=50",
"50-23=27"
] | Current State: 27:[70, 93, 37, 13], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [37, 13, 23]
Generated Node #2: [37, 13, 23] from Operation: 93-70=23
Current State: 27:[37, 13, 23], Operations: ['93-70=23']
Exploring Operation: 37+13=50, Resulting Numbers: [23, 50]
Generated Node #3: [23, 50] from Operation: 37+13=50
Current State: 27:[23, 50], Operations: ['93-70=23', '37+13=50']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
39,
28,
8,
76
] | 72 | [
"39+28=67",
"76-67=9",
"8*9=72"
] | Current State: 72:[39, 28, 8, 76], Operations: []
Exploring Operation: 39+28=67, Resulting Numbers: [8, 76, 67]
Generated Node #2: [8, 76, 67] from Operation: 39+28=67
Current State: 72:[8, 76, 67], Operations: ['39+28=67']
Exploring Operation: 76-67=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 76-67=9
Current State: 72:[8, 9], Operations: ['39+28=67', '76-67=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
58,
52,
54
] | 50 | [
"58-2=56",
"52+54=106",
"106-56=50"
] | Current State: 50:[2, 58, 52, 54], Operations: []
Exploring Operation: 58-2=56, Resulting Numbers: [52, 54, 56]
Generated Node #2: [52, 54, 56] from Operation: 58-2=56
Current State: 50:[52, 54, 56], Operations: ['58-2=56']
Exploring Operation: 52+54=106, Resulting Numbers: [56, 106]
Generated Node #3: [56, 106] from Operation: 52+54=106
Current State: 50:[56, 106], Operations: ['58-2=56', '52+54=106']
Exploring Operation: 106-56=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
29,
70,
42,
63
] | 23 | [
"70-63=7",
"42/7=6",
"29-6=23"
] | Current State: 23:[29, 70, 42, 63], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [29, 42, 7]
Generated Node #2: [29, 42, 7] from Operation: 70-63=7
Current State: 23:[29, 42, 7], Operations: ['70-63=7']
Exploring Operation: 42/7=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 42/7=6
Current State: 23:[29, 6], Operations: ['70-63=7', '42/7=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
56,
69,
55,
64
] | 16 | [
"69-55=14",
"56/14=4",
"64/4=16"
] | Current State: 16:[56, 69, 55, 64], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [56, 64, 14]
Generated Node #2: [56, 64, 14] from Operation: 69-55=14
Current State: 16:[56, 64, 14], Operations: ['69-55=14']
Exploring Operation: 56/14=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 56/14=4
Current State: 16:[64, 4], Operations: ['69-55=14', '56/14=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
47,
67,
56,
97
] | 73 | [
"47+67=114",
"97-56=41",
"114-41=73"
] | Current State: 73:[47, 67, 56, 97], Operations: []
Exploring Operation: 47+67=114, Resulting Numbers: [56, 97, 114]
Generated Node #2: [56, 97, 114] from Operation: 47+67=114
Current State: 73:[56, 97, 114], Operations: ['47+67=114']
Exploring Operation: 97-56=41, Resulting Numbers: [114, 41]
Generated Node #3: [114, 41] from Operation: 97-56=41
Current State: 73:[114, 41], Operations: ['47+67=114', '97-56=41']
Exploring Operation: 114-41=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
20,
72,
48,
76
] | 36 | [
"20+76=96",
"72*48=3456",
"3456/96=36"
] | Current State: 36:[20, 72, 48, 76], Operations: []
Exploring Operation: 20+76=96, Resulting Numbers: [72, 48, 96]
Generated Node #2: [72, 48, 96] from Operation: 20+76=96
Current State: 36:[72, 48, 96], Operations: ['20+76=96']
Exploring Operation: 72*48=3456, Resulting Numbers: [96, 3456]
Generated Node #3: [96, 3456] from Operation: 72*48=3456
Current State: 36:[96, 3456], Operations: ['20+76=96', '72*48=3456']
Exploring Operation: 3456/96=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
86,
41,
92,
92
] | 46 | [
"86-41=45",
"92/92=1",
"45+1=46"
] | Current State: 46:[86, 41, 92, 92], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [92, 92, 45]
Generated Node #2: [92, 92, 45] from Operation: 86-41=45
Current State: 46:[92, 92, 45], Operations: ['86-41=45']
Exploring Operation: 92/92=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 92/92=1
Current State: 46:[45, 1], Operations: ['86-41=45', '92/92=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
92,
93,
53,
20
] | 94 | [
"93-53=40",
"40/20=2",
"92+2=94"
] | Current State: 94:[92, 93, 53, 20], Operations: []
Exploring Operation: 93-53=40, Resulting Numbers: [92, 20, 40]
Generated Node #2: [92, 20, 40] from Operation: 93-53=40
Current State: 94:[92, 20, 40], Operations: ['93-53=40']
Exploring Operation: 40/20=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 40/20=2
Current State: 94:[92, 2], Operations: ['93-53=40', '40/20=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
8,
6,
27,
9
] | 32 | [
"8+6=14",
"27-9=18",
"14+18=32"
] | Current State: 32:[8, 6, 27, 9], Operations: []
Exploring Operation: 8+6=14, Resulting Numbers: [27, 9, 14]
Generated Node #2: [27, 9, 14] from Operation: 8+6=14
Current State: 32:[27, 9, 14], Operations: ['8+6=14']
Exploring Operation: 27-9=18, Resulting Numbers: [14, 18]
Generated Node #3: [14, 18] from Operation: 27-9=18
Current State: 32:[14, 18], Operations: ['8+6=14', '27-9=18']
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
67,
90,
51,
1
] | 29 | [
"90-67=23",
"51+1=52",
"52-23=29"
] | Current State: 29:[67, 90, 51, 1], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [51, 1, 23]
Generated Node #2: [51, 1, 23] from Operation: 90-67=23
Current State: 29:[51, 1, 23], Operations: ['90-67=23']
Exploring Operation: 51+1=52, Resulting Numbers: [23, 52]
Generated Node #3: [23, 52] from Operation: 51+1=52
Current State: 29:[23, 52], Operations: ['90-67=23', '51+1=52']
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
81,
26,
88,
82
] | 49 | [
"81-26=55",
"88-82=6",
"55-6=49"
] | Current State: 49:[81, 26, 88, 82], Operations: []
Exploring Operation: 81-26=55, Resulting Numbers: [88, 82, 55]
Generated Node #2: [88, 82, 55] from Operation: 81-26=55
Current State: 49:[88, 82, 55], Operations: ['81-26=55']
Exploring Operation: 88-82=6, Resulting Numbers: [55, 6]
Generated Node #3: [55, 6] from Operation: 88-82=6
Current State: 49:[55, 6], Operations: ['81-26=55', '88-82=6']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
14,
3,
30,
91
] | 87 | [
"91-14=77",
"30/3=10",
"77+10=87"
] | Current State: 87:[14, 3, 30, 91], Operations: []
Exploring Operation: 91-14=77, Resulting Numbers: [3, 30, 77]
Generated Node #2: [3, 30, 77] from Operation: 91-14=77
Current State: 87:[3, 30, 77], Operations: ['91-14=77']
Exploring Operation: 30/3=10, Resulting Numbers: [77, 10]
Generated Node #3: [77, 10] from Operation: 30/3=10
Current State: 87:[77, 10], Operations: ['91-14=77', '30/3=10']
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
26,
4,
60,
42
] | 19 | [
"60-26=34",
"42+34=76",
"76/4=19"
] | Current State: 19:[26, 4, 60, 42], Operations: []
Exploring Operation: 60-26=34, Resulting Numbers: [4, 42, 34]
Generated Node #2: [4, 42, 34] from Operation: 60-26=34
Current State: 19:[4, 42, 34], Operations: ['60-26=34']
Exploring Operation: 42+34=76, Resulting Numbers: [4, 76]
Generated Node #3: [4, 76] from Operation: 42+34=76
Current State: 19:[4, 76], Operations: ['60-26=34', '42+34=76']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
86,
81,
83,
3
] | 74 | [
"86+83=169",
"81*3=243",
"243-169=74"
] | Current State: 74:[86, 81, 83, 3], Operations: []
Exploring Operation: 86+83=169, Resulting Numbers: [81, 3, 169]
Generated Node #2: [81, 3, 169] from Operation: 86+83=169
Current State: 74:[81, 3, 169], Operations: ['86+83=169']
Exploring Operation: 81*3=243, Resulting Numbers: [169, 243]
Generated Node #3: [169, 243] from Operation: 81*3=243
Current State: 74:[169, 243], Operations: ['86+83=169', '81*3=243']
Exploring Operation: 243-169=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
13,
60,
9,
79
] | 64 | [
"13-9=4",
"60/4=15",
"79-15=64"
] | Current State: 64:[13, 60, 9, 79], Operations: []
Exploring Operation: 13-9=4, Resulting Numbers: [60, 79, 4]
Generated Node #2: [60, 79, 4] from Operation: 13-9=4
Current State: 64:[60, 79, 4], Operations: ['13-9=4']
Exploring Operation: 60/4=15, Resulting Numbers: [79, 15]
Generated Node #3: [79, 15] from Operation: 60/4=15
Current State: 64:[79, 15], Operations: ['13-9=4', '60/4=15']
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
95,
90,
44,
94
] | 45 | [
"95-90=5",
"94-44=50",
"50-5=45"
] | Current State: 45:[95, 90, 44, 94], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [44, 94, 5]
Generated Node #2: [44, 94, 5] from Operation: 95-90=5
Current State: 45:[44, 94, 5], Operations: ['95-90=5']
Exploring Operation: 94-44=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 94-44=50
Current State: 45:[5, 50], Operations: ['95-90=5', '94-44=50']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
94,
58,
38,
9
] | 34 | [
"94-58=36",
"36/9=4",
"38-4=34"
] | Current State: 34:[94, 58, 38, 9], Operations: []
Exploring Operation: 94-58=36, Resulting Numbers: [38, 9, 36]
Generated Node #2: [38, 9, 36] from Operation: 94-58=36
Current State: 34:[38, 9, 36], Operations: ['94-58=36']
Exploring Operation: 36/9=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 36/9=4
Current State: 34:[38, 4], Operations: ['94-58=36', '36/9=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
54,
34,
83,
17
] | 85 | [
"54+34=88",
"88-83=5",
"17*5=85"
] | Current State: 85:[54, 34, 83, 17], Operations: []
Exploring Operation: 54+34=88, Resulting Numbers: [83, 17, 88]
Generated Node #2: [83, 17, 88] from Operation: 54+34=88
Current State: 85:[83, 17, 88], Operations: ['54+34=88']
Exploring Operation: 88-83=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 88-83=5
Current State: 85:[17, 5], Operations: ['54+34=88', '88-83=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
31,
86,
51
] | 71 | [
"5+31=36",
"86-51=35",
"36+35=71"
] | Current State: 71:[5, 31, 86, 51], Operations: []
Exploring Operation: 5+31=36, Resulting Numbers: [86, 51, 36]
Generated Node #2: [86, 51, 36] from Operation: 5+31=36
Current State: 71:[86, 51, 36], Operations: ['5+31=36']
Exploring Operation: 86-51=35, Resulting Numbers: [36, 35]
Generated Node #3: [36, 35] from Operation: 86-51=35
Current State: 71:[36, 35], Operations: ['5+31=36', '86-51=35']
Exploring Operation: 36+35=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
38,
38,
83,
64
] | 76 | [
"38*38=1444",
"83-64=19",
"1444/19=76"
] | Current State: 76:[38, 38, 83, 64], Operations: []
Exploring Operation: 38*38=1444, Resulting Numbers: [83, 64, 1444]
Generated Node #2: [83, 64, 1444] from Operation: 38*38=1444
Current State: 76:[83, 64, 1444], Operations: ['38*38=1444']
Exploring Operation: 83-64=19, Resulting Numbers: [1444, 19]
Generated Node #3: [1444, 19] from Operation: 83-64=19
Current State: 76:[1444, 19], Operations: ['38*38=1444', '83-64=19']
Exploring Operation: 1444/19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
33,
21,
31,
44
] | 87 | [
"33-21=12",
"31+44=75",
"12+75=87"
] | Current State: 87:[33, 21, 31, 44], Operations: []
Exploring Operation: 33-21=12, Resulting Numbers: [31, 44, 12]
Generated Node #2: [31, 44, 12] from Operation: 33-21=12
Current State: 87:[31, 44, 12], Operations: ['33-21=12']
Exploring Operation: 31+44=75, Resulting Numbers: [12, 75]
Generated Node #3: [12, 75] from Operation: 31+44=75
Current State: 87:[12, 75], Operations: ['33-21=12', '31+44=75']
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
57,
73,
12,
4
] | 24 | [
"73-57=16",
"12-4=8",
"16+8=24"
] | Current State: 24:[57, 73, 12, 4], Operations: []
Exploring Operation: 73-57=16, Resulting Numbers: [12, 4, 16]
Generated Node #2: [12, 4, 16] from Operation: 73-57=16
Current State: 24:[12, 4, 16], Operations: ['73-57=16']
Exploring Operation: 12-4=8, Resulting Numbers: [16, 8]
Generated Node #3: [16, 8] from Operation: 12-4=8
Current State: 24:[16, 8], Operations: ['73-57=16', '12-4=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
62,
58,
7,
71
] | 68 | [
"62-58=4",
"71-7=64",
"4+64=68"
] | Current State: 68:[62, 58, 7, 71], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [7, 71, 4]
Generated Node #2: [7, 71, 4] from Operation: 62-58=4
Current State: 68:[7, 71, 4], Operations: ['62-58=4']
Exploring Operation: 71-7=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 71-7=64
Current State: 68:[4, 64], Operations: ['62-58=4', '71-7=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
23,
14,
38,
19
] | 41 | [
"23+19=42",
"42/14=3",
"38+3=41"
] | Current State: 41:[23, 14, 38, 19], Operations: []
Exploring Operation: 23+19=42, Resulting Numbers: [14, 38, 42]
Generated Node #2: [14, 38, 42] from Operation: 23+19=42
Current State: 41:[14, 38, 42], Operations: ['23+19=42']
Exploring Operation: 42/14=3, Resulting Numbers: [38, 3]
Generated Node #3: [38, 3] from Operation: 42/14=3
Current State: 41:[38, 3], Operations: ['23+19=42', '42/14=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
35,
24,
62,
37
] | 88 | [
"35-24=11",
"62+37=99",
"99-11=88"
] | Current State: 88:[35, 24, 62, 37], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [62, 37, 11]
Generated Node #2: [62, 37, 11] from Operation: 35-24=11
Current State: 88:[62, 37, 11], Operations: ['35-24=11']
Exploring Operation: 62+37=99, Resulting Numbers: [11, 99]
Generated Node #3: [11, 99] from Operation: 62+37=99
Current State: 88:[11, 99], Operations: ['35-24=11', '62+37=99']
Exploring Operation: 99-11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
10,
8,
42
] | 15 | [
"42-2=40",
"40/8=5",
"10+5=15"
] | Current State: 15:[2, 10, 8, 42], Operations: []
Exploring Operation: 42-2=40, Resulting Numbers: [10, 8, 40]
Generated Node #2: [10, 8, 40] from Operation: 42-2=40
Current State: 15:[10, 8, 40], Operations: ['42-2=40']
Exploring Operation: 40/8=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 40/8=5
Current State: 15:[10, 5], Operations: ['42-2=40', '40/8=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
67,
88,
57,
21
] | 77 | [
"67+88=155",
"57+21=78",
"155-78=77"
] | Current State: 77:[67, 88, 57, 21], Operations: []
Exploring Operation: 67+88=155, Resulting Numbers: [57, 21, 155]
Generated Node #2: [57, 21, 155] from Operation: 67+88=155
Current State: 77:[57, 21, 155], Operations: ['67+88=155']
Exploring Operation: 57+21=78, Resulting Numbers: [155, 78]
Generated Node #3: [155, 78] from Operation: 57+21=78
Current State: 77:[155, 78], Operations: ['67+88=155', '57+21=78']
Exploring Operation: 155-78=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
6,
22,
17,
53
] | 54 | [
"22-6=16",
"17+53=70",
"70-16=54"
] | Current State: 54:[6, 22, 17, 53], Operations: []
Exploring Operation: 22-6=16, Resulting Numbers: [17, 53, 16]
Generated Node #2: [17, 53, 16] from Operation: 22-6=16
Current State: 54:[17, 53, 16], Operations: ['22-6=16']
Exploring Operation: 17+53=70, Resulting Numbers: [16, 70]
Generated Node #3: [16, 70] from Operation: 17+53=70
Current State: 54:[16, 70], Operations: ['22-6=16', '17+53=70']
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
16,
21,
63,
10
] | 58 | [
"21-16=5",
"63-10=53",
"5+53=58"
] | Current State: 58:[16, 21, 63, 10], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [63, 10, 5]
Generated Node #2: [63, 10, 5] from Operation: 21-16=5
Current State: 58:[63, 10, 5], Operations: ['21-16=5']
Exploring Operation: 63-10=53, Resulting Numbers: [5, 53]
Generated Node #3: [5, 53] from Operation: 63-10=53
Current State: 58:[5, 53], Operations: ['21-16=5', '63-10=53']
Exploring Operation: 5+53=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
92,
51,
32,
64
] | 82 | [
"92-51=41",
"64/32=2",
"41*2=82"
] | Current State: 82:[92, 51, 32, 64], Operations: []
Exploring Operation: 92-51=41, Resulting Numbers: [32, 64, 41]
Generated Node #2: [32, 64, 41] from Operation: 92-51=41
Current State: 82:[32, 64, 41], Operations: ['92-51=41']
Exploring Operation: 64/32=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 64/32=2
Current State: 82:[41, 2], Operations: ['92-51=41', '64/32=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
57,
15,
2,
62
] | 73 | [
"57-15=42",
"62/2=31",
"42+31=73"
] | Current State: 73:[57, 15, 2, 62], Operations: []
Exploring Operation: 57-15=42, Resulting Numbers: [2, 62, 42]
Generated Node #2: [2, 62, 42] from Operation: 57-15=42
Current State: 73:[2, 62, 42], Operations: ['57-15=42']
Exploring Operation: 62/2=31, Resulting Numbers: [42, 31]
Generated Node #3: [42, 31] from Operation: 62/2=31
Current State: 73:[42, 31], Operations: ['57-15=42', '62/2=31']
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
43,
57,
46
] | 74 | [
"57-43=14",
"2*14=28",
"46+28=74"
] | Current State: 74:[2, 43, 57, 46], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [2, 46, 14]
Generated Node #2: [2, 46, 14] from Operation: 57-43=14
Current State: 74:[2, 46, 14], Operations: ['57-43=14']
Exploring Operation: 2*14=28, Resulting Numbers: [46, 28]
Generated Node #3: [46, 28] from Operation: 2*14=28
Current State: 74:[46, 28], Operations: ['57-43=14', '2*14=28']
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
95,
6,
27,
60
] | 48 | [
"95-27=68",
"68-60=8",
"6*8=48"
] | Current State: 48:[95, 6, 27, 60], Operations: []
Exploring Operation: 95-27=68, Resulting Numbers: [6, 60, 68]
Generated Node #2: [6, 60, 68] from Operation: 95-27=68
Current State: 48:[6, 60, 68], Operations: ['95-27=68']
Exploring Operation: 68-60=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 68-60=8
Current State: 48:[6, 8], Operations: ['95-27=68', '68-60=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
98,
21,
91,
81
] | 49 | [
"98+91=189",
"21*189=3969",
"3969/81=49"
] | Current State: 49:[98, 21, 91, 81], Operations: []
Exploring Operation: 98+91=189, Resulting Numbers: [21, 81, 189]
Generated Node #2: [21, 81, 189] from Operation: 98+91=189
Current State: 49:[21, 81, 189], Operations: ['98+91=189']
Exploring Operation: 21*189=3969, Resulting Numbers: [81, 3969]
Generated Node #3: [81, 3969] from Operation: 21*189=3969
Current State: 49:[81, 3969], Operations: ['98+91=189', '21*189=3969']
Exploring Operation: 3969/81=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
72,
38,
78,
29
] | 83 | [
"72-38=34",
"78-29=49",
"34+49=83"
] | Current State: 83:[72, 38, 78, 29], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [78, 29, 34]
Generated Node #2: [78, 29, 34] from Operation: 72-38=34
Current State: 83:[78, 29, 34], Operations: ['72-38=34']
Exploring Operation: 78-29=49, Resulting Numbers: [34, 49]
Generated Node #3: [34, 49] from Operation: 78-29=49
Current State: 83:[34, 49], Operations: ['72-38=34', '78-29=49']
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
47,
3,
1,
5
] | 89 | [
"3-1=2",
"47*2=94",
"94-5=89"
] | Current State: 89:[47, 3, 1, 5], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [47, 5, 2]
Generated Node #2: [47, 5, 2] from Operation: 3-1=2
Current State: 89:[47, 5, 2], Operations: ['3-1=2']
Exploring Operation: 47*2=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 47*2=94
Current State: 89:[5, 94], Operations: ['3-1=2', '47*2=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
49,
91,
37,
63
] | 70 | [
"91*37=3367",
"63+3367=3430",
"3430/49=70"
] | Current State: 70:[49, 91, 37, 63], Operations: []
Exploring Operation: 91*37=3367, Resulting Numbers: [49, 63, 3367]
Generated Node #2: [49, 63, 3367] from Operation: 91*37=3367
Current State: 70:[49, 63, 3367], Operations: ['91*37=3367']
Exploring Operation: 63+3367=3430, Resulting Numbers: [49, 3430]
Generated Node #3: [49, 3430] from Operation: 63+3367=3430
Current State: 70:[49, 3430], Operations: ['91*37=3367', '63+3367=3430']
Exploring Operation: 3430/49=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
75,
80,
16,
94
] | 77 | [
"75+80=155",
"94-16=78",
"155-78=77"
] | Current State: 77:[75, 80, 16, 94], Operations: []
Exploring Operation: 75+80=155, Resulting Numbers: [16, 94, 155]
Generated Node #2: [16, 94, 155] from Operation: 75+80=155
Current State: 77:[16, 94, 155], Operations: ['75+80=155']
Exploring Operation: 94-16=78, Resulting Numbers: [155, 78]
Generated Node #3: [155, 78] from Operation: 94-16=78
Current State: 77:[155, 78], Operations: ['75+80=155', '94-16=78']
Exploring Operation: 155-78=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
7,
95,
15,
2
] | 66 | [
"7+95=102",
"102/2=51",
"15+51=66"
] | Current State: 66:[7, 95, 15, 2], Operations: []
Exploring Operation: 7+95=102, Resulting Numbers: [15, 2, 102]
Generated Node #2: [15, 2, 102] from Operation: 7+95=102
Current State: 66:[15, 2, 102], Operations: ['7+95=102']
Exploring Operation: 102/2=51, Resulting Numbers: [15, 51]
Generated Node #3: [15, 51] from Operation: 102/2=51
Current State: 66:[15, 51], Operations: ['7+95=102', '102/2=51']
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
28,
22,
9,
2
] | 36 | [
"28-22=6",
"6-2=4",
"9*4=36"
] | Current State: 36:[28, 22, 9, 2], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [9, 2, 6]
Generated Node #2: [9, 2, 6] from Operation: 28-22=6
Current State: 36:[9, 2, 6], Operations: ['28-22=6']
Exploring Operation: 6-2=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 6-2=4
Current State: 36:[9, 4], Operations: ['28-22=6', '6-2=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
38,
31,
20,
3
] | 71 | [
"31-20=11",
"3*11=33",
"38+33=71"
] | Current State: 71:[38, 31, 20, 3], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [38, 3, 11]
Generated Node #2: [38, 3, 11] from Operation: 31-20=11
Current State: 71:[38, 3, 11], Operations: ['31-20=11']
Exploring Operation: 3*11=33, Resulting Numbers: [38, 33]
Generated Node #3: [38, 33] from Operation: 3*11=33
Current State: 71:[38, 33], Operations: ['31-20=11', '3*11=33']
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
79,
32,
34,
30
] | 49 | [
"34-30=4",
"32*4=128",
"128-79=49"
] | Current State: 49:[79, 32, 34, 30], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [79, 32, 4]
Generated Node #2: [79, 32, 4] from Operation: 34-30=4
Current State: 49:[79, 32, 4], Operations: ['34-30=4']
Exploring Operation: 32*4=128, Resulting Numbers: [79, 128]
Generated Node #3: [79, 128] from Operation: 32*4=128
Current State: 49:[79, 128], Operations: ['34-30=4', '32*4=128']
Exploring Operation: 128-79=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
15,
87,
5,
42
] | 43 | [
"15/5=3",
"87+42=129",
"129/3=43"
] | Current State: 43:[15, 87, 5, 42], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [87, 42, 3]
Generated Node #2: [87, 42, 3] from Operation: 15/5=3
Current State: 43:[87, 42, 3], Operations: ['15/5=3']
Exploring Operation: 87+42=129, Resulting Numbers: [3, 129]
Generated Node #3: [3, 129] from Operation: 87+42=129
Current State: 43:[3, 129], Operations: ['15/5=3', '87+42=129']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
88,
22,
31,
85
] | 29 | [
"88/22=4",
"31+85=116",
"116/4=29"
] | Current State: 29:[88, 22, 31, 85], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [31, 85, 4]
Generated Node #2: [31, 85, 4] from Operation: 88/22=4
Current State: 29:[31, 85, 4], Operations: ['88/22=4']
Exploring Operation: 31+85=116, Resulting Numbers: [4, 116]
Generated Node #3: [4, 116] from Operation: 31+85=116
Current State: 29:[4, 116], Operations: ['88/22=4', '31+85=116']
Exploring Operation: 116/4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
28,
16,
76,
49
] | 48 | [
"16*49=784",
"784/28=28",
"76-28=48"
] | Current State: 48:[28, 16, 76, 49], Operations: []
Exploring Operation: 16*49=784, Resulting Numbers: [28, 76, 784]
Generated Node #2: [28, 76, 784] from Operation: 16*49=784
Current State: 48:[28, 76, 784], Operations: ['16*49=784']
Exploring Operation: 784/28=28, Resulting Numbers: [76, 28]
Generated Node #3: [76, 28] from Operation: 784/28=28
Current State: 48:[76, 28], Operations: ['16*49=784', '784/28=28']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
88,
32,
38,
24
] | 19 | [
"88-24=64",
"32*38=1216",
"1216/64=19"
] | Current State: 19:[88, 32, 38, 24], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [32, 38, 64]
Generated Node #2: [32, 38, 64] from Operation: 88-24=64
Current State: 19:[32, 38, 64], Operations: ['88-24=64']
Exploring Operation: 32*38=1216, Resulting Numbers: [64, 1216]
Generated Node #3: [64, 1216] from Operation: 32*38=1216
Current State: 19:[64, 1216], Operations: ['88-24=64', '32*38=1216']
Exploring Operation: 1216/64=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
1,
13,
80,
7
] | 73 | [
"1+13=14",
"80+7=87",
"87-14=73"
] | Current State: 73:[1, 13, 80, 7], Operations: []
Exploring Operation: 1+13=14, Resulting Numbers: [80, 7, 14]
Generated Node #2: [80, 7, 14] from Operation: 1+13=14
Current State: 73:[80, 7, 14], Operations: ['1+13=14']
Exploring Operation: 80+7=87, Resulting Numbers: [14, 87]
Generated Node #3: [14, 87] from Operation: 80+7=87
Current State: 73:[14, 87], Operations: ['1+13=14', '80+7=87']
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
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