nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
17,
36,
3
] | 80 | [
"57-36=21",
"3*21=63",
"17+63=80"
] | Current State: 80:[57, 17, 36, 3], Operations: []
Exploring Operation: 57-36=21, Resulting Numbers: [17, 3, 21]
Generated Node #2: [17, 3, 21] from Operation: 57-36=21
Current State: 80:[17, 3, 21], Operations: ['57-36=21']
Exploring Operation: 3*21=63, Resulting Numbers: [17, 63]
Generated Node #3: [17, 63] from Operation: 3*21=63
Current State: 80:[17, 63], Operations: ['57-36=21', '3*21=63']
Exploring Operation: 17+63=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
39,
15,
57,
42
] | 39 | [
"39+15=54",
"57-42=15",
"54-15=39"
] | Current State: 39:[39, 15, 57, 42], Operations: []
Exploring Operation: 39+15=54, Resulting Numbers: [57, 42, 54]
Generated Node #2: [57, 42, 54] from Operation: 39+15=54
Current State: 39:[57, 42, 54], Operations: ['39+15=54']
Exploring Operation: 57-42=15, Resulting Numbers: [54, 15]
Generated Node #3: [54, 15] from Operation: 57-42=15
Current State: 39:[54, 15], Operations: ['39+15=54', '57-42=15']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
16,
60,
6,
81
] | 75 | [
"16*6=96",
"81-60=21",
"96-21=75"
] | Current State: 75:[16, 60, 6, 81], Operations: []
Exploring Operation: 16*6=96, Resulting Numbers: [60, 81, 96]
Generated Node #2: [60, 81, 96] from Operation: 16*6=96
Current State: 75:[60, 81, 96], Operations: ['16*6=96']
Exploring Operation: 81-60=21, Resulting Numbers: [96, 21]
Generated Node #3: [96, 21] from Operation: 81-60=21
Current State: 75:[96, 21], Operations: ['16*6=96', '81-60=21']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
63,
95,
62,
41
] | 92 | [
"62-41=21",
"63/21=3",
"95-3=92"
] | Current State: 92:[63, 95, 62, 41], Operations: []
Exploring Operation: 62-41=21, Resulting Numbers: [63, 95, 21]
Generated Node #2: [63, 95, 21] from Operation: 62-41=21
Current State: 92:[63, 95, 21], Operations: ['62-41=21']
Exploring Operation: 63/21=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 63/21=3
Current State: 92:[95, 3], Operations: ['62-41=21', '63/21=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
43,
21,
78,
42
] | 56 | [
"43+21=64",
"78+42=120",
"120-64=56"
] | Current State: 56:[43, 21, 78, 42], Operations: []
Exploring Operation: 43+21=64, Resulting Numbers: [78, 42, 64]
Generated Node #2: [78, 42, 64] from Operation: 43+21=64
Current State: 56:[78, 42, 64], Operations: ['43+21=64']
Exploring Operation: 78+42=120, Resulting Numbers: [64, 120]
Generated Node #3: [64, 120] from Operation: 78+42=120
Current State: 56:[64, 120], Operations: ['43+21=64', '78+42=120']
Exploring Operation: 120-64=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
10,
13,
19,
57
] | 95 | [
"10*57=570",
"19-13=6",
"570/6=95"
] | Current State: 95:[10, 13, 19, 57], Operations: []
Exploring Operation: 10*57=570, Resulting Numbers: [13, 19, 570]
Generated Node #2: [13, 19, 570] from Operation: 10*57=570
Current State: 95:[13, 19, 570], Operations: ['10*57=570']
Exploring Operation: 19-13=6, Resulting Numbers: [570, 6]
Generated Node #3: [570, 6] from Operation: 19-13=6
Current State: 95:[570, 6], Operations: ['10*57=570', '19-13=6']
Exploring Operation: 570/6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
37,
82,
68,
13
] | 38 | [
"37+82=119",
"68+13=81",
"119-81=38"
] | Current State: 38:[37, 82, 68, 13], Operations: []
Exploring Operation: 37+82=119, Resulting Numbers: [68, 13, 119]
Generated Node #2: [68, 13, 119] from Operation: 37+82=119
Current State: 38:[68, 13, 119], Operations: ['37+82=119']
Exploring Operation: 68+13=81, Resulting Numbers: [119, 81]
Generated Node #3: [119, 81] from Operation: 68+13=81
Current State: 38:[119, 81], Operations: ['37+82=119', '68+13=81']
Exploring Operation: 119-81=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
20,
83,
93,
28
] | 80 | [
"28-20=8",
"93-83=10",
"8*10=80"
] | Current State: 80:[20, 83, 93, 28], Operations: []
Exploring Operation: 28-20=8, Resulting Numbers: [83, 93, 8]
Generated Node #2: [83, 93, 8] from Operation: 28-20=8
Current State: 80:[83, 93, 8], Operations: ['28-20=8']
Exploring Operation: 93-83=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 93-83=10
Current State: 80:[8, 10], Operations: ['28-20=8', '93-83=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
33,
6,
13,
54
] | 29 | [
"33-13=20",
"54/6=9",
"20+9=29"
] | Current State: 29:[33, 6, 13, 54], Operations: []
Exploring Operation: 33-13=20, Resulting Numbers: [6, 54, 20]
Generated Node #2: [6, 54, 20] from Operation: 33-13=20
Current State: 29:[6, 54, 20], Operations: ['33-13=20']
Exploring Operation: 54/6=9, Resulting Numbers: [20, 9]
Generated Node #3: [20, 9] from Operation: 54/6=9
Current State: 29:[20, 9], Operations: ['33-13=20', '54/6=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
25,
25,
2,
65
] | 63 | [
"25-25=0",
"65-2=63",
"0+63=63"
] | Current State: 63:[25, 25, 2, 65], Operations: []
Exploring Operation: 25-25=0, Resulting Numbers: [2, 65, 0]
Generated Node #2: [2, 65, 0] from Operation: 25-25=0
Current State: 63:[2, 65, 0], Operations: ['25-25=0']
Exploring Operation: 65-2=63, Resulting Numbers: [0, 63]
Generated Node #3: [0, 63] from Operation: 65-2=63
Current State: 63:[0, 63], Operations: ['25-25=0', '65-2=63']
Exploring Operation: 0+63=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
61,
90,
30,
82
] | 63 | [
"82-61=21",
"90/30=3",
"21*3=63"
] | Current State: 63:[61, 90, 30, 82], Operations: []
Exploring Operation: 82-61=21, Resulting Numbers: [90, 30, 21]
Generated Node #2: [90, 30, 21] from Operation: 82-61=21
Current State: 63:[90, 30, 21], Operations: ['82-61=21']
Exploring Operation: 90/30=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 90/30=3
Current State: 63:[21, 3], Operations: ['82-61=21', '90/30=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
27,
12,
17,
58
] | 80 | [
"27+12=39",
"58-17=41",
"39+41=80"
] | Current State: 80:[27, 12, 17, 58], Operations: []
Exploring Operation: 27+12=39, Resulting Numbers: [17, 58, 39]
Generated Node #2: [17, 58, 39] from Operation: 27+12=39
Current State: 80:[17, 58, 39], Operations: ['27+12=39']
Exploring Operation: 58-17=41, Resulting Numbers: [39, 41]
Generated Node #3: [39, 41] from Operation: 58-17=41
Current State: 80:[39, 41], Operations: ['27+12=39', '58-17=41']
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
87,
4,
4,
32
] | 94 | [
"32-4=28",
"28/4=7",
"87+7=94"
] | Current State: 94:[87, 4, 4, 32], Operations: []
Exploring Operation: 32-4=28, Resulting Numbers: [87, 28]
Generated Node #2: [87, 28] from Operation: 32-4=28
Current State: 94:[87, 28], Operations: ['32-4=28']
Exploring Operation: 28/4=7, Resulting Numbers: [87, 7]
Generated Node #3: [87, 7] from Operation: 28/4=7
Current State: 94:[87, 7], Operations: ['32-4=28', '28/4=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
7,
36,
13,
41
] | 26 | [
"7+36=43",
"43-41=2",
"13*2=26"
] | Current State: 26:[7, 36, 13, 41], Operations: []
Exploring Operation: 7+36=43, Resulting Numbers: [13, 41, 43]
Generated Node #2: [13, 41, 43] from Operation: 7+36=43
Current State: 26:[13, 41, 43], Operations: ['7+36=43']
Exploring Operation: 43-41=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 43-41=2
Current State: 26:[13, 2], Operations: ['7+36=43', '43-41=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
11,
38,
97,
6
] | 20 | [
"11+97=108",
"108/6=18",
"38-18=20"
] | Current State: 20:[11, 38, 97, 6], Operations: []
Exploring Operation: 11+97=108, Resulting Numbers: [38, 6, 108]
Generated Node #2: [38, 6, 108] from Operation: 11+97=108
Current State: 20:[38, 6, 108], Operations: ['11+97=108']
Exploring Operation: 108/6=18, Resulting Numbers: [38, 18]
Generated Node #3: [38, 18] from Operation: 108/6=18
Current State: 20:[38, 18], Operations: ['11+97=108', '108/6=18']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
34,
12,
43,
9
] | 59 | [
"12-9=3",
"34*3=102",
"102-43=59"
] | Current State: 59:[34, 12, 43, 9], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [34, 43, 3]
Generated Node #2: [34, 43, 3] from Operation: 12-9=3
Current State: 59:[34, 43, 3], Operations: ['12-9=3']
Exploring Operation: 34*3=102, Resulting Numbers: [43, 102]
Generated Node #3: [43, 102] from Operation: 34*3=102
Current State: 59:[43, 102], Operations: ['12-9=3', '34*3=102']
Exploring Operation: 102-43=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
75,
37,
64,
12
] | 60 | [
"75+37=112",
"64-12=52",
"112-52=60"
] | Current State: 60:[75, 37, 64, 12], Operations: []
Exploring Operation: 75+37=112, Resulting Numbers: [64, 12, 112]
Generated Node #2: [64, 12, 112] from Operation: 75+37=112
Current State: 60:[64, 12, 112], Operations: ['75+37=112']
Exploring Operation: 64-12=52, Resulting Numbers: [112, 52]
Generated Node #3: [112, 52] from Operation: 64-12=52
Current State: 60:[112, 52], Operations: ['75+37=112', '64-12=52']
Exploring Operation: 112-52=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
38,
28,
96,
64
] | 94 | [
"38+28=66",
"96+64=160",
"160-66=94"
] | Current State: 94:[38, 28, 96, 64], Operations: []
Exploring Operation: 38+28=66, Resulting Numbers: [96, 64, 66]
Generated Node #2: [96, 64, 66] from Operation: 38+28=66
Current State: 94:[96, 64, 66], Operations: ['38+28=66']
Exploring Operation: 96+64=160, Resulting Numbers: [66, 160]
Generated Node #3: [66, 160] from Operation: 96+64=160
Current State: 94:[66, 160], Operations: ['38+28=66', '96+64=160']
Exploring Operation: 160-66=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
46,
44,
38,
24
] | 40 | [
"46-24=22",
"44/22=2",
"38+2=40"
] | Current State: 40:[46, 44, 38, 24], Operations: []
Exploring Operation: 46-24=22, Resulting Numbers: [44, 38, 22]
Generated Node #2: [44, 38, 22] from Operation: 46-24=22
Current State: 40:[44, 38, 22], Operations: ['46-24=22']
Exploring Operation: 44/22=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 44/22=2
Current State: 40:[38, 2], Operations: ['46-24=22', '44/22=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
90,
51,
97,
48
] | 45 | [
"97-51=46",
"48-46=2",
"90/2=45"
] | Current State: 45:[90, 51, 97, 48], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [90, 48, 46]
Generated Node #2: [90, 48, 46] from Operation: 97-51=46
Current State: 45:[90, 48, 46], Operations: ['97-51=46']
Exploring Operation: 48-46=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 48-46=2
Current State: 45:[90, 2], Operations: ['97-51=46', '48-46=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
61,
51,
80,
83
] | 13 | [
"61-51=10",
"83-80=3",
"10+3=13"
] | Current State: 13:[61, 51, 80, 83], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [80, 83, 10]
Generated Node #2: [80, 83, 10] from Operation: 61-51=10
Current State: 13:[80, 83, 10], Operations: ['61-51=10']
Exploring Operation: 83-80=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 83-80=3
Current State: 13:[10, 3], Operations: ['61-51=10', '83-80=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
99,
80,
2,
50
] | 44 | [
"99-80=19",
"50/2=25",
"19+25=44"
] | Current State: 44:[99, 80, 2, 50], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [2, 50, 19]
Generated Node #2: [2, 50, 19] from Operation: 99-80=19
Current State: 44:[2, 50, 19], Operations: ['99-80=19']
Exploring Operation: 50/2=25, Resulting Numbers: [19, 25]
Generated Node #3: [19, 25] from Operation: 50/2=25
Current State: 44:[19, 25], Operations: ['99-80=19', '50/2=25']
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
82,
41,
4,
45
] | 81 | [
"41+4=45",
"45/45=1",
"82-1=81"
] | Current State: 81:[82, 41, 4, 45], Operations: []
Exploring Operation: 41+4=45, Resulting Numbers: [82, 45, 45]
Generated Node #2: [82, 45, 45] from Operation: 41+4=45
Current State: 81:[82, 45, 45], Operations: ['41+4=45']
Exploring Operation: 45/45=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 45/45=1
Current State: 81:[82, 1], Operations: ['41+4=45', '45/45=1']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
18,
9,
10,
26
] | 72 | [
"18/9=2",
"10+26=36",
"2*36=72"
] | Current State: 72:[18, 9, 10, 26], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [10, 26, 2]
Generated Node #2: [10, 26, 2] from Operation: 18/9=2
Current State: 72:[10, 26, 2], Operations: ['18/9=2']
Exploring Operation: 10+26=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 10+26=36
Current State: 72:[2, 36], Operations: ['18/9=2', '10+26=36']
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
8,
33,
32,
98
] | 41 | [
"33-8=25",
"98-32=66",
"66-25=41"
] | Current State: 41:[8, 33, 32, 98], Operations: []
Exploring Operation: 33-8=25, Resulting Numbers: [32, 98, 25]
Generated Node #2: [32, 98, 25] from Operation: 33-8=25
Current State: 41:[32, 98, 25], Operations: ['33-8=25']
Exploring Operation: 98-32=66, Resulting Numbers: [25, 66]
Generated Node #3: [25, 66] from Operation: 98-32=66
Current State: 41:[25, 66], Operations: ['33-8=25', '98-32=66']
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
74,
99,
34,
22
] | 31 | [
"99-74=25",
"34+22=56",
"56-25=31"
] | Current State: 31:[74, 99, 34, 22], Operations: []
Exploring Operation: 99-74=25, Resulting Numbers: [34, 22, 25]
Generated Node #2: [34, 22, 25] from Operation: 99-74=25
Current State: 31:[34, 22, 25], Operations: ['99-74=25']
Exploring Operation: 34+22=56, Resulting Numbers: [25, 56]
Generated Node #3: [25, 56] from Operation: 34+22=56
Current State: 31:[25, 56], Operations: ['99-74=25', '34+22=56']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
41,
81,
99,
28
] | 86 | [
"41+99=140",
"140/28=5",
"81+5=86"
] | Current State: 86:[41, 81, 99, 28], Operations: []
Exploring Operation: 41+99=140, Resulting Numbers: [81, 28, 140]
Generated Node #2: [81, 28, 140] from Operation: 41+99=140
Current State: 86:[81, 28, 140], Operations: ['41+99=140']
Exploring Operation: 140/28=5, Resulting Numbers: [81, 5]
Generated Node #3: [81, 5] from Operation: 140/28=5
Current State: 86:[81, 5], Operations: ['41+99=140', '140/28=5']
Exploring Operation: 81+5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
82,
38,
26,
45
] | 41 | [
"45-26=19",
"82*19=1558",
"1558/38=41"
] | Current State: 41:[82, 38, 26, 45], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [82, 38, 19]
Generated Node #2: [82, 38, 19] from Operation: 45-26=19
Current State: 41:[82, 38, 19], Operations: ['45-26=19']
Exploring Operation: 82*19=1558, Resulting Numbers: [38, 1558]
Generated Node #3: [38, 1558] from Operation: 82*19=1558
Current State: 41:[38, 1558], Operations: ['45-26=19', '82*19=1558']
Exploring Operation: 1558/38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
14,
83,
3,
72
] | 75 | [
"14+83=97",
"97-72=25",
"3*25=75"
] | Current State: 75:[14, 83, 3, 72], Operations: []
Exploring Operation: 14+83=97, Resulting Numbers: [3, 72, 97]
Generated Node #2: [3, 72, 97] from Operation: 14+83=97
Current State: 75:[3, 72, 97], Operations: ['14+83=97']
Exploring Operation: 97-72=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 97-72=25
Current State: 75:[3, 25], Operations: ['14+83=97', '97-72=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
28,
42,
63,
55
] | 66 | [
"63-28=35",
"42*55=2310",
"2310/35=66"
] | Current State: 66:[28, 42, 63, 55], Operations: []
Exploring Operation: 63-28=35, Resulting Numbers: [42, 55, 35]
Generated Node #2: [42, 55, 35] from Operation: 63-28=35
Current State: 66:[42, 55, 35], Operations: ['63-28=35']
Exploring Operation: 42*55=2310, Resulting Numbers: [35, 2310]
Generated Node #3: [35, 2310] from Operation: 42*55=2310
Current State: 66:[35, 2310], Operations: ['63-28=35', '42*55=2310']
Exploring Operation: 2310/35=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
77,
16,
21,
16
] | 99 | [
"77+21=98",
"16/16=1",
"98+1=99"
] | Current State: 99:[77, 16, 21, 16], Operations: []
Exploring Operation: 77+21=98, Resulting Numbers: [16, 16, 98]
Generated Node #2: [16, 16, 98] from Operation: 77+21=98
Current State: 99:[16, 16, 98], Operations: ['77+21=98']
Exploring Operation: 16/16=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 16/16=1
Current State: 99:[98, 1], Operations: ['77+21=98', '16/16=1']
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
1,
2,
50,
8
] | 65 | [
"50-1=49",
"2*8=16",
"49+16=65"
] | Current State: 65:[1, 2, 50, 8], Operations: []
Exploring Operation: 50-1=49, Resulting Numbers: [2, 8, 49]
Generated Node #2: [2, 8, 49] from Operation: 50-1=49
Current State: 65:[2, 8, 49], Operations: ['50-1=49']
Exploring Operation: 2*8=16, Resulting Numbers: [49, 16]
Generated Node #3: [49, 16] from Operation: 2*8=16
Current State: 65:[49, 16], Operations: ['50-1=49', '2*8=16']
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
18,
71,
53,
17
] | 56 | [
"71-17=54",
"54/18=3",
"53+3=56"
] | Current State: 56:[18, 71, 53, 17], Operations: []
Exploring Operation: 71-17=54, Resulting Numbers: [18, 53, 54]
Generated Node #2: [18, 53, 54] from Operation: 71-17=54
Current State: 56:[18, 53, 54], Operations: ['71-17=54']
Exploring Operation: 54/18=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 54/18=3
Current State: 56:[53, 3], Operations: ['71-17=54', '54/18=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
76,
68,
44,
46
] | 72 | [
"76+68=144",
"46-44=2",
"144/2=72"
] | Current State: 72:[76, 68, 44, 46], Operations: []
Exploring Operation: 76+68=144, Resulting Numbers: [44, 46, 144]
Generated Node #2: [44, 46, 144] from Operation: 76+68=144
Current State: 72:[44, 46, 144], Operations: ['76+68=144']
Exploring Operation: 46-44=2, Resulting Numbers: [144, 2]
Generated Node #3: [144, 2] from Operation: 46-44=2
Current State: 72:[144, 2], Operations: ['76+68=144', '46-44=2']
Exploring Operation: 144/2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
49,
85,
28,
15
] | 97 | [
"49*28=1372",
"85*15=1275",
"1372-1275=97"
] | Current State: 97:[49, 85, 28, 15], Operations: []
Exploring Operation: 49*28=1372, Resulting Numbers: [85, 15, 1372]
Generated Node #2: [85, 15, 1372] from Operation: 49*28=1372
Current State: 97:[85, 15, 1372], Operations: ['49*28=1372']
Exploring Operation: 85*15=1275, Resulting Numbers: [1372, 1275]
Generated Node #3: [1372, 1275] from Operation: 85*15=1275
Current State: 97:[1372, 1275], Operations: ['49*28=1372', '85*15=1275']
Exploring Operation: 1372-1275=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
45,
59,
57,
62
] | 34 | [
"45+57=102",
"62-59=3",
"102/3=34"
] | Current State: 34:[45, 59, 57, 62], Operations: []
Exploring Operation: 45+57=102, Resulting Numbers: [59, 62, 102]
Generated Node #2: [59, 62, 102] from Operation: 45+57=102
Current State: 34:[59, 62, 102], Operations: ['45+57=102']
Exploring Operation: 62-59=3, Resulting Numbers: [102, 3]
Generated Node #3: [102, 3] from Operation: 62-59=3
Current State: 34:[102, 3], Operations: ['45+57=102', '62-59=3']
Exploring Operation: 102/3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
96,
2,
59
] | 18 | [
"96-1=95",
"95-59=36",
"36/2=18"
] | Current State: 18:[1, 96, 2, 59], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [2, 59, 95]
Generated Node #2: [2, 59, 95] from Operation: 96-1=95
Current State: 18:[2, 59, 95], Operations: ['96-1=95']
Exploring Operation: 95-59=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 95-59=36
Current State: 18:[2, 36], Operations: ['96-1=95', '95-59=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
6,
89,
80,
93
] | 82 | [
"6+89=95",
"93-80=13",
"95-13=82"
] | Current State: 82:[6, 89, 80, 93], Operations: []
Exploring Operation: 6+89=95, Resulting Numbers: [80, 93, 95]
Generated Node #2: [80, 93, 95] from Operation: 6+89=95
Current State: 82:[80, 93, 95], Operations: ['6+89=95']
Exploring Operation: 93-80=13, Resulting Numbers: [95, 13]
Generated Node #3: [95, 13] from Operation: 93-80=13
Current State: 82:[95, 13], Operations: ['6+89=95', '93-80=13']
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
19,
30,
96,
9
] | 56 | [
"19+30=49",
"96+9=105",
"105-49=56"
] | Current State: 56:[19, 30, 96, 9], Operations: []
Exploring Operation: 19+30=49, Resulting Numbers: [96, 9, 49]
Generated Node #2: [96, 9, 49] from Operation: 19+30=49
Current State: 56:[96, 9, 49], Operations: ['19+30=49']
Exploring Operation: 96+9=105, Resulting Numbers: [49, 105]
Generated Node #3: [49, 105] from Operation: 96+9=105
Current State: 56:[49, 105], Operations: ['19+30=49', '96+9=105']
Exploring Operation: 105-49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
38,
20,
4,
9
] | 84 | [
"38*20=760",
"760-4=756",
"756/9=84"
] | Current State: 84:[38, 20, 4, 9], Operations: []
Exploring Operation: 38*20=760, Resulting Numbers: [4, 9, 760]
Generated Node #2: [4, 9, 760] from Operation: 38*20=760
Current State: 84:[4, 9, 760], Operations: ['38*20=760']
Exploring Operation: 760-4=756, Resulting Numbers: [9, 756]
Generated Node #3: [9, 756] from Operation: 760-4=756
Current State: 84:[9, 756], Operations: ['38*20=760', '760-4=756']
Exploring Operation: 756/9=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
76,
36,
8,
95
] | 35 | [
"36-8=28",
"95*28=2660",
"2660/76=35"
] | Current State: 35:[76, 36, 8, 95], Operations: []
Exploring Operation: 36-8=28, Resulting Numbers: [76, 95, 28]
Generated Node #2: [76, 95, 28] from Operation: 36-8=28
Current State: 35:[76, 95, 28], Operations: ['36-8=28']
Exploring Operation: 95*28=2660, Resulting Numbers: [76, 2660]
Generated Node #3: [76, 2660] from Operation: 95*28=2660
Current State: 35:[76, 2660], Operations: ['36-8=28', '95*28=2660']
Exploring Operation: 2660/76=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
5,
43,
11,
42
] | 28 | [
"43+42=85",
"85/5=17",
"11+17=28"
] | Current State: 28:[5, 43, 11, 42], Operations: []
Exploring Operation: 43+42=85, Resulting Numbers: [5, 11, 85]
Generated Node #2: [5, 11, 85] from Operation: 43+42=85
Current State: 28:[5, 11, 85], Operations: ['43+42=85']
Exploring Operation: 85/5=17, Resulting Numbers: [11, 17]
Generated Node #3: [11, 17] from Operation: 85/5=17
Current State: 28:[11, 17], Operations: ['43+42=85', '85/5=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
12,
51,
73,
55
] | 25 | [
"55-51=4",
"12*4=48",
"73-48=25"
] | Current State: 25:[12, 51, 73, 55], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [12, 73, 4]
Generated Node #2: [12, 73, 4] from Operation: 55-51=4
Current State: 25:[12, 73, 4], Operations: ['55-51=4']
Exploring Operation: 12*4=48, Resulting Numbers: [73, 48]
Generated Node #3: [73, 48] from Operation: 12*4=48
Current State: 25:[73, 48], Operations: ['55-51=4', '12*4=48']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
26,
25,
15,
9
] | 64 | [
"25-15=10",
"9*10=90",
"90-26=64"
] | Current State: 64:[26, 25, 15, 9], Operations: []
Exploring Operation: 25-15=10, Resulting Numbers: [26, 9, 10]
Generated Node #2: [26, 9, 10] from Operation: 25-15=10
Current State: 64:[26, 9, 10], Operations: ['25-15=10']
Exploring Operation: 9*10=90, Resulting Numbers: [26, 90]
Generated Node #3: [26, 90] from Operation: 9*10=90
Current State: 64:[26, 90], Operations: ['25-15=10', '9*10=90']
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
70,
30,
52,
98
] | 26 | [
"70+30=100",
"100-98=2",
"52/2=26"
] | Current State: 26:[70, 30, 52, 98], Operations: []
Exploring Operation: 70+30=100, Resulting Numbers: [52, 98, 100]
Generated Node #2: [52, 98, 100] from Operation: 70+30=100
Current State: 26:[52, 98, 100], Operations: ['70+30=100']
Exploring Operation: 100-98=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 100-98=2
Current State: 26:[52, 2], Operations: ['70+30=100', '100-98=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
55,
88,
62,
8
] | 37 | [
"88-55=33",
"62+8=70",
"70-33=37"
] | Current State: 37:[55, 88, 62, 8], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [62, 8, 33]
Generated Node #2: [62, 8, 33] from Operation: 88-55=33
Current State: 37:[62, 8, 33], Operations: ['88-55=33']
Exploring Operation: 62+8=70, Resulting Numbers: [33, 70]
Generated Node #3: [33, 70] from Operation: 62+8=70
Current State: 37:[33, 70], Operations: ['88-55=33', '62+8=70']
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
32,
53,
30,
5
] | 14 | [
"53-32=21",
"30+5=35",
"35-21=14"
] | Current State: 14:[32, 53, 30, 5], Operations: []
Exploring Operation: 53-32=21, Resulting Numbers: [30, 5, 21]
Generated Node #2: [30, 5, 21] from Operation: 53-32=21
Current State: 14:[30, 5, 21], Operations: ['53-32=21']
Exploring Operation: 30+5=35, Resulting Numbers: [21, 35]
Generated Node #3: [21, 35] from Operation: 30+5=35
Current State: 14:[21, 35], Operations: ['53-32=21', '30+5=35']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
45,
74,
28,
14
] | 15 | [
"74-45=29",
"28-14=14",
"29-14=15"
] | Current State: 15:[45, 74, 28, 14], Operations: []
Exploring Operation: 74-45=29, Resulting Numbers: [28, 14, 29]
Generated Node #2: [28, 14, 29] from Operation: 74-45=29
Current State: 15:[28, 14, 29], Operations: ['74-45=29']
Exploring Operation: 28-14=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 28-14=14
Current State: 15:[29, 14], Operations: ['74-45=29', '28-14=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
10,
60,
36,
59
] | 93 | [
"10+60=70",
"59-36=23",
"70+23=93"
] | Current State: 93:[10, 60, 36, 59], Operations: []
Exploring Operation: 10+60=70, Resulting Numbers: [36, 59, 70]
Generated Node #2: [36, 59, 70] from Operation: 10+60=70
Current State: 93:[36, 59, 70], Operations: ['10+60=70']
Exploring Operation: 59-36=23, Resulting Numbers: [70, 23]
Generated Node #3: [70, 23] from Operation: 59-36=23
Current State: 93:[70, 23], Operations: ['10+60=70', '59-36=23']
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
27,
1,
76,
78
] | 79 | [
"27-1=26",
"78/26=3",
"76+3=79"
] | Current State: 79:[27, 1, 76, 78], Operations: []
Exploring Operation: 27-1=26, Resulting Numbers: [76, 78, 26]
Generated Node #2: [76, 78, 26] from Operation: 27-1=26
Current State: 79:[76, 78, 26], Operations: ['27-1=26']
Exploring Operation: 78/26=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 78/26=3
Current State: 79:[76, 3], Operations: ['27-1=26', '78/26=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
56,
82,
66,
68
] | 30 | [
"68-66=2",
"56*2=112",
"112-82=30"
] | Current State: 30:[56, 82, 66, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [56, 82, 2]
Generated Node #2: [56, 82, 2] from Operation: 68-66=2
Current State: 30:[56, 82, 2], Operations: ['68-66=2']
Exploring Operation: 56*2=112, Resulting Numbers: [82, 112]
Generated Node #3: [82, 112] from Operation: 56*2=112
Current State: 30:[82, 112], Operations: ['68-66=2', '56*2=112']
Exploring Operation: 112-82=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
99,
40,
74,
34
] | 49 | [
"99-40=59",
"74+34=108",
"108-59=49"
] | Current State: 49:[99, 40, 74, 34], Operations: []
Exploring Operation: 99-40=59, Resulting Numbers: [74, 34, 59]
Generated Node #2: [74, 34, 59] from Operation: 99-40=59
Current State: 49:[74, 34, 59], Operations: ['99-40=59']
Exploring Operation: 74+34=108, Resulting Numbers: [59, 108]
Generated Node #3: [59, 108] from Operation: 74+34=108
Current State: 49:[59, 108], Operations: ['99-40=59', '74+34=108']
Exploring Operation: 108-59=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
9,
5,
96,
36
] | 20 | [
"36/9=4",
"96+4=100",
"100/5=20"
] | Current State: 20:[9, 5, 96, 36], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [5, 96, 4]
Generated Node #2: [5, 96, 4] from Operation: 36/9=4
Current State: 20:[5, 96, 4], Operations: ['36/9=4']
Exploring Operation: 96+4=100, Resulting Numbers: [5, 100]
Generated Node #3: [5, 100] from Operation: 96+4=100
Current State: 20:[5, 100], Operations: ['36/9=4', '96+4=100']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
12,
57,
60,
95
] | 91 | [
"60-57=3",
"12/3=4",
"95-4=91"
] | Current State: 91:[12, 57, 60, 95], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [12, 95, 3]
Generated Node #2: [12, 95, 3] from Operation: 60-57=3
Current State: 91:[12, 95, 3], Operations: ['60-57=3']
Exploring Operation: 12/3=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 12/3=4
Current State: 91:[95, 4], Operations: ['60-57=3', '12/3=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
88,
4,
92,
46
] | 76 | [
"88-46=42",
"4*42=168",
"168-92=76"
] | Current State: 76:[88, 4, 92, 46], Operations: []
Exploring Operation: 88-46=42, Resulting Numbers: [4, 92, 42]
Generated Node #2: [4, 92, 42] from Operation: 88-46=42
Current State: 76:[4, 92, 42], Operations: ['88-46=42']
Exploring Operation: 4*42=168, Resulting Numbers: [92, 168]
Generated Node #3: [92, 168] from Operation: 4*42=168
Current State: 76:[92, 168], Operations: ['88-46=42', '4*42=168']
Exploring Operation: 168-92=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
24,
70,
79,
88
] | 85 | [
"24+70=94",
"88-79=9",
"94-9=85"
] | Current State: 85:[24, 70, 79, 88], Operations: []
Exploring Operation: 24+70=94, Resulting Numbers: [79, 88, 94]
Generated Node #2: [79, 88, 94] from Operation: 24+70=94
Current State: 85:[79, 88, 94], Operations: ['24+70=94']
Exploring Operation: 88-79=9, Resulting Numbers: [94, 9]
Generated Node #3: [94, 9] from Operation: 88-79=9
Current State: 85:[94, 9], Operations: ['24+70=94', '88-79=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
45,
89,
16,
89
] | 29 | [
"45+89=134",
"16+89=105",
"134-105=29"
] | Current State: 29:[45, 89, 16, 89], Operations: []
Exploring Operation: 45+89=134, Resulting Numbers: [16, 134]
Generated Node #2: [16, 134] from Operation: 45+89=134
Current State: 29:[16, 134], Operations: ['45+89=134']
Exploring Operation: 16+89=105, Resulting Numbers: [134, 105]
Generated Node #3: [134, 105] from Operation: 16+89=105
Current State: 29:[134, 105], Operations: ['45+89=134', '16+89=105']
Exploring Operation: 134-105=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
77,
63,
48,
44
] | 18 | [
"77-63=14",
"48-44=4",
"14+4=18"
] | Current State: 18:[77, 63, 48, 44], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [48, 44, 14]
Generated Node #2: [48, 44, 14] from Operation: 77-63=14
Current State: 18:[48, 44, 14], Operations: ['77-63=14']
Exploring Operation: 48-44=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 48-44=4
Current State: 18:[14, 4], Operations: ['77-63=14', '48-44=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
18,
33,
80,
48
] | 73 | [
"33*80=2640",
"2640/48=55",
"18+55=73"
] | Current State: 73:[18, 33, 80, 48], Operations: []
Exploring Operation: 33*80=2640, Resulting Numbers: [18, 48, 2640]
Generated Node #2: [18, 48, 2640] from Operation: 33*80=2640
Current State: 73:[18, 48, 2640], Operations: ['33*80=2640']
Exploring Operation: 2640/48=55, Resulting Numbers: [18, 55]
Generated Node #3: [18, 55] from Operation: 2640/48=55
Current State: 73:[18, 55], Operations: ['33*80=2640', '2640/48=55']
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
14,
66,
97,
38
] | 98 | [
"97-66=31",
"38-31=7",
"14*7=98"
] | Current State: 98:[14, 66, 97, 38], Operations: []
Exploring Operation: 97-66=31, Resulting Numbers: [14, 38, 31]
Generated Node #2: [14, 38, 31] from Operation: 97-66=31
Current State: 98:[14, 38, 31], Operations: ['97-66=31']
Exploring Operation: 38-31=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 38-31=7
Current State: 98:[14, 7], Operations: ['97-66=31', '38-31=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
70,
90,
53,
93
] | 60 | [
"90-70=20",
"93-53=40",
"20+40=60"
] | Current State: 60:[70, 90, 53, 93], Operations: []
Exploring Operation: 90-70=20, Resulting Numbers: [53, 93, 20]
Generated Node #2: [53, 93, 20] from Operation: 90-70=20
Current State: 60:[53, 93, 20], Operations: ['90-70=20']
Exploring Operation: 93-53=40, Resulting Numbers: [20, 40]
Generated Node #3: [20, 40] from Operation: 93-53=40
Current State: 60:[20, 40], Operations: ['90-70=20', '93-53=40']
Exploring Operation: 20+40=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
69,
14,
37,
27
] | 73 | [
"69+14=83",
"37-27=10",
"83-10=73"
] | Current State: 73:[69, 14, 37, 27], Operations: []
Exploring Operation: 69+14=83, Resulting Numbers: [37, 27, 83]
Generated Node #2: [37, 27, 83] from Operation: 69+14=83
Current State: 73:[37, 27, 83], Operations: ['69+14=83']
Exploring Operation: 37-27=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 37-27=10
Current State: 73:[83, 10], Operations: ['69+14=83', '37-27=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
91,
70,
16,
9
] | 97 | [
"70-16=54",
"54/9=6",
"91+6=97"
] | Current State: 97:[91, 70, 16, 9], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [91, 9, 54]
Generated Node #2: [91, 9, 54] from Operation: 70-16=54
Current State: 97:[91, 9, 54], Operations: ['70-16=54']
Exploring Operation: 54/9=6, Resulting Numbers: [91, 6]
Generated Node #3: [91, 6] from Operation: 54/9=6
Current State: 97:[91, 6], Operations: ['70-16=54', '54/9=6']
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
76,
5,
17,
73
] | 66 | [
"76-73=3",
"5+17=22",
"3*22=66"
] | Current State: 66:[76, 5, 17, 73], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [5, 17, 3]
Generated Node #2: [5, 17, 3] from Operation: 76-73=3
Current State: 66:[5, 17, 3], Operations: ['76-73=3']
Exploring Operation: 5+17=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 5+17=22
Current State: 66:[3, 22], Operations: ['76-73=3', '5+17=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
73,
58,
71,
3
] | 83 | [
"73-58=15",
"71-3=68",
"15+68=83"
] | Current State: 83:[73, 58, 71, 3], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [71, 3, 15]
Generated Node #2: [71, 3, 15] from Operation: 73-58=15
Current State: 83:[71, 3, 15], Operations: ['73-58=15']
Exploring Operation: 71-3=68, Resulting Numbers: [15, 68]
Generated Node #3: [15, 68] from Operation: 71-3=68
Current State: 83:[15, 68], Operations: ['73-58=15', '71-3=68']
Exploring Operation: 15+68=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
68,
2,
1,
48
] | 22 | [
"68+2=70",
"1*48=48",
"70-48=22"
] | Current State: 22:[68, 2, 1, 48], Operations: []
Exploring Operation: 68+2=70, Resulting Numbers: [1, 48, 70]
Generated Node #2: [1, 48, 70] from Operation: 68+2=70
Current State: 22:[1, 48, 70], Operations: ['68+2=70']
Exploring Operation: 1*48=48, Resulting Numbers: [70, 48]
Generated Node #3: [70, 48] from Operation: 1*48=48
Current State: 22:[70, 48], Operations: ['68+2=70', '1*48=48']
Exploring Operation: 70-48=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
11,
91,
3,
18
] | 10 | [
"18-11=7",
"91/7=13",
"13-3=10"
] | Current State: 10:[11, 91, 3, 18], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [91, 3, 7]
Generated Node #2: [91, 3, 7] from Operation: 18-11=7
Current State: 10:[91, 3, 7], Operations: ['18-11=7']
Exploring Operation: 91/7=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 91/7=13
Current State: 10:[3, 13], Operations: ['18-11=7', '91/7=13']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
94,
52,
55,
84
] | 53 | [
"94-52=42",
"84/42=2",
"55-2=53"
] | Current State: 53:[94, 52, 55, 84], Operations: []
Exploring Operation: 94-52=42, Resulting Numbers: [55, 84, 42]
Generated Node #2: [55, 84, 42] from Operation: 94-52=42
Current State: 53:[55, 84, 42], Operations: ['94-52=42']
Exploring Operation: 84/42=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 84/42=2
Current State: 53:[55, 2], Operations: ['94-52=42', '84/42=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
11,
47,
63,
25
] | 20 | [
"11+47=58",
"63-25=38",
"58-38=20"
] | Current State: 20:[11, 47, 63, 25], Operations: []
Exploring Operation: 11+47=58, Resulting Numbers: [63, 25, 58]
Generated Node #2: [63, 25, 58] from Operation: 11+47=58
Current State: 20:[63, 25, 58], Operations: ['11+47=58']
Exploring Operation: 63-25=38, Resulting Numbers: [58, 38]
Generated Node #3: [58, 38] from Operation: 63-25=38
Current State: 20:[58, 38], Operations: ['11+47=58', '63-25=38']
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
90,
2,
29,
85
] | 26 | [
"90-2=88",
"29+85=114",
"114-88=26"
] | Current State: 26:[90, 2, 29, 85], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [29, 85, 88]
Generated Node #2: [29, 85, 88] from Operation: 90-2=88
Current State: 26:[29, 85, 88], Operations: ['90-2=88']
Exploring Operation: 29+85=114, Resulting Numbers: [88, 114]
Generated Node #3: [88, 114] from Operation: 29+85=114
Current State: 26:[88, 114], Operations: ['90-2=88', '29+85=114']
Exploring Operation: 114-88=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
84,
84,
11,
87
] | 76 | [
"84-84=0",
"87-11=76",
"0+76=76"
] | Current State: 76:[84, 84, 11, 87], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [11, 87, 0]
Generated Node #2: [11, 87, 0] from Operation: 84-84=0
Current State: 76:[11, 87, 0], Operations: ['84-84=0']
Exploring Operation: 87-11=76, Resulting Numbers: [0, 76]
Generated Node #3: [0, 76] from Operation: 87-11=76
Current State: 76:[0, 76], Operations: ['84-84=0', '87-11=76']
Exploring Operation: 0+76=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
12,
95,
93,
47
] | 16 | [
"95+93=188",
"188/47=4",
"12+4=16"
] | Current State: 16:[12, 95, 93, 47], Operations: []
Exploring Operation: 95+93=188, Resulting Numbers: [12, 47, 188]
Generated Node #2: [12, 47, 188] from Operation: 95+93=188
Current State: 16:[12, 47, 188], Operations: ['95+93=188']
Exploring Operation: 188/47=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 188/47=4
Current State: 16:[12, 4], Operations: ['95+93=188', '188/47=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
10,
29,
4,
55
] | 21 | [
"29-10=19",
"4*19=76",
"76-55=21"
] | Current State: 21:[10, 29, 4, 55], Operations: []
Exploring Operation: 29-10=19, Resulting Numbers: [4, 55, 19]
Generated Node #2: [4, 55, 19] from Operation: 29-10=19
Current State: 21:[4, 55, 19], Operations: ['29-10=19']
Exploring Operation: 4*19=76, Resulting Numbers: [55, 76]
Generated Node #3: [55, 76] from Operation: 4*19=76
Current State: 21:[55, 76], Operations: ['29-10=19', '4*19=76']
Exploring Operation: 76-55=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
70,
64,
1,
72
] | 33 | [
"72-70=2",
"64/2=32",
"1+32=33"
] | Current State: 33:[70, 64, 1, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [64, 1, 2]
Generated Node #2: [64, 1, 2] from Operation: 72-70=2
Current State: 33:[64, 1, 2], Operations: ['72-70=2']
Exploring Operation: 64/2=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 64/2=32
Current State: 33:[1, 32], Operations: ['72-70=2', '64/2=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
63,
13,
15,
26
] | 80 | [
"63+15=78",
"26/13=2",
"78+2=80"
] | Current State: 80:[63, 13, 15, 26], Operations: []
Exploring Operation: 63+15=78, Resulting Numbers: [13, 26, 78]
Generated Node #2: [13, 26, 78] from Operation: 63+15=78
Current State: 80:[13, 26, 78], Operations: ['63+15=78']
Exploring Operation: 26/13=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 26/13=2
Current State: 80:[78, 2], Operations: ['63+15=78', '26/13=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
27,
15,
73,
28
] | 59 | [
"27+15=42",
"73+28=101",
"101-42=59"
] | Current State: 59:[27, 15, 73, 28], Operations: []
Exploring Operation: 27+15=42, Resulting Numbers: [73, 28, 42]
Generated Node #2: [73, 28, 42] from Operation: 27+15=42
Current State: 59:[73, 28, 42], Operations: ['27+15=42']
Exploring Operation: 73+28=101, Resulting Numbers: [42, 101]
Generated Node #3: [42, 101] from Operation: 73+28=101
Current State: 59:[42, 101], Operations: ['27+15=42', '73+28=101']
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
90,
57,
11,
88
] | 92 | [
"90-88=2",
"57-11=46",
"2*46=92"
] | Current State: 92:[90, 57, 11, 88], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [57, 11, 2]
Generated Node #2: [57, 11, 2] from Operation: 90-88=2
Current State: 92:[57, 11, 2], Operations: ['90-88=2']
Exploring Operation: 57-11=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 57-11=46
Current State: 92:[2, 46], Operations: ['90-88=2', '57-11=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
42,
78,
91,
24
] | 77 | [
"42+24=66",
"91*66=6006",
"6006/78=77"
] | Current State: 77:[42, 78, 91, 24], Operations: []
Exploring Operation: 42+24=66, Resulting Numbers: [78, 91, 66]
Generated Node #2: [78, 91, 66] from Operation: 42+24=66
Current State: 77:[78, 91, 66], Operations: ['42+24=66']
Exploring Operation: 91*66=6006, Resulting Numbers: [78, 6006]
Generated Node #3: [78, 6006] from Operation: 91*66=6006
Current State: 77:[78, 6006], Operations: ['42+24=66', '91*66=6006']
Exploring Operation: 6006/78=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
62,
73,
76,
9
] | 23 | [
"73-62=11",
"9*11=99",
"99-76=23"
] | Current State: 23:[62, 73, 76, 9], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [76, 9, 11]
Generated Node #2: [76, 9, 11] from Operation: 73-62=11
Current State: 23:[76, 9, 11], Operations: ['73-62=11']
Exploring Operation: 9*11=99, Resulting Numbers: [76, 99]
Generated Node #3: [76, 99] from Operation: 9*11=99
Current State: 23:[76, 99], Operations: ['73-62=11', '9*11=99']
Exploring Operation: 99-76=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
55,
96,
16,
55
] | 96 | [
"55-55=0",
"16*0=0",
"96+0=96"
] | Current State: 96:[55, 96, 16, 55], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [96, 16, 0]
Generated Node #2: [96, 16, 0] from Operation: 55-55=0
Current State: 96:[96, 16, 0], Operations: ['55-55=0']
Exploring Operation: 16*0=0, Resulting Numbers: [96, 0]
Generated Node #3: [96, 0] from Operation: 16*0=0
Current State: 96:[96, 0], Operations: ['55-55=0', '16*0=0']
Exploring Operation: 96+0=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
28,
30,
88,
77
] | 99 | [
"30-28=2",
"88*2=176",
"176-77=99"
] | Current State: 99:[28, 30, 88, 77], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [88, 77, 2]
Generated Node #2: [88, 77, 2] from Operation: 30-28=2
Current State: 99:[88, 77, 2], Operations: ['30-28=2']
Exploring Operation: 88*2=176, Resulting Numbers: [77, 176]
Generated Node #3: [77, 176] from Operation: 88*2=176
Current State: 99:[77, 176], Operations: ['30-28=2', '88*2=176']
Exploring Operation: 176-77=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
5,
58,
5,
17
] | 76 | [
"5/5=1",
"58+17=75",
"1+75=76"
] | Current State: 76:[5, 58, 5, 17], Operations: []
Exploring Operation: 5/5=1, Resulting Numbers: [58, 17, 1]
Generated Node #2: [58, 17, 1] from Operation: 5/5=1
Current State: 76:[58, 17, 1], Operations: ['5/5=1']
Exploring Operation: 58+17=75, Resulting Numbers: [1, 75]
Generated Node #3: [1, 75] from Operation: 58+17=75
Current State: 76:[1, 75], Operations: ['5/5=1', '58+17=75']
Exploring Operation: 1+75=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
65,
96,
81,
73
] | 69 | [
"73-65=8",
"96/8=12",
"81-12=69"
] | Current State: 69:[65, 96, 81, 73], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [96, 81, 8]
Generated Node #2: [96, 81, 8] from Operation: 73-65=8
Current State: 69:[96, 81, 8], Operations: ['73-65=8']
Exploring Operation: 96/8=12, Resulting Numbers: [81, 12]
Generated Node #3: [81, 12] from Operation: 96/8=12
Current State: 69:[81, 12], Operations: ['73-65=8', '96/8=12']
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
48,
32,
44,
93
] | 65 | [
"48-32=16",
"93-44=49",
"16+49=65"
] | Current State: 65:[48, 32, 44, 93], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [44, 93, 16]
Generated Node #2: [44, 93, 16] from Operation: 48-32=16
Current State: 65:[44, 93, 16], Operations: ['48-32=16']
Exploring Operation: 93-44=49, Resulting Numbers: [16, 49]
Generated Node #3: [16, 49] from Operation: 93-44=49
Current State: 65:[16, 49], Operations: ['48-32=16', '93-44=49']
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
59,
73,
34
] | 46 | [
"73-34=39",
"39/3=13",
"59-13=46"
] | Current State: 46:[3, 59, 73, 34], Operations: []
Exploring Operation: 73-34=39, Resulting Numbers: [3, 59, 39]
Generated Node #2: [3, 59, 39] from Operation: 73-34=39
Current State: 46:[3, 59, 39], Operations: ['73-34=39']
Exploring Operation: 39/3=13, Resulting Numbers: [59, 13]
Generated Node #3: [59, 13] from Operation: 39/3=13
Current State: 46:[59, 13], Operations: ['73-34=39', '39/3=13']
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
79,
20,
16,
32
] | 89 | [
"20*16=320",
"320/32=10",
"79+10=89"
] | Current State: 89:[79, 20, 16, 32], Operations: []
Exploring Operation: 20*16=320, Resulting Numbers: [79, 32, 320]
Generated Node #2: [79, 32, 320] from Operation: 20*16=320
Current State: 89:[79, 32, 320], Operations: ['20*16=320']
Exploring Operation: 320/32=10, Resulting Numbers: [79, 10]
Generated Node #3: [79, 10] from Operation: 320/32=10
Current State: 89:[79, 10], Operations: ['20*16=320', '320/32=10']
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
20,
49,
82,
45
] | 32 | [
"20+49=69",
"82-45=37",
"69-37=32"
] | Current State: 32:[20, 49, 82, 45], Operations: []
Exploring Operation: 20+49=69, Resulting Numbers: [82, 45, 69]
Generated Node #2: [82, 45, 69] from Operation: 20+49=69
Current State: 32:[82, 45, 69], Operations: ['20+49=69']
Exploring Operation: 82-45=37, Resulting Numbers: [69, 37]
Generated Node #3: [69, 37] from Operation: 82-45=37
Current State: 32:[69, 37], Operations: ['20+49=69', '82-45=37']
Exploring Operation: 69-37=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
33,
12,
49,
29
] | 97 | [
"33-29=4",
"12*4=48",
"49+48=97"
] | Current State: 97:[33, 12, 49, 29], Operations: []
Exploring Operation: 33-29=4, Resulting Numbers: [12, 49, 4]
Generated Node #2: [12, 49, 4] from Operation: 33-29=4
Current State: 97:[12, 49, 4], Operations: ['33-29=4']
Exploring Operation: 12*4=48, Resulting Numbers: [49, 48]
Generated Node #3: [49, 48] from Operation: 12*4=48
Current State: 97:[49, 48], Operations: ['33-29=4', '12*4=48']
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
41,
99,
14,
24
] | 17 | [
"99+24=123",
"123/41=3",
"14+3=17"
] | Current State: 17:[41, 99, 14, 24], Operations: []
Exploring Operation: 99+24=123, Resulting Numbers: [41, 14, 123]
Generated Node #2: [41, 14, 123] from Operation: 99+24=123
Current State: 17:[41, 14, 123], Operations: ['99+24=123']
Exploring Operation: 123/41=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 123/41=3
Current State: 17:[14, 3], Operations: ['99+24=123', '123/41=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
61,
17,
57,
8
] | 93 | [
"61-17=44",
"57-8=49",
"44+49=93"
] | Current State: 93:[61, 17, 57, 8], Operations: []
Exploring Operation: 61-17=44, Resulting Numbers: [57, 8, 44]
Generated Node #2: [57, 8, 44] from Operation: 61-17=44
Current State: 93:[57, 8, 44], Operations: ['61-17=44']
Exploring Operation: 57-8=49, Resulting Numbers: [44, 49]
Generated Node #3: [44, 49] from Operation: 57-8=49
Current State: 93:[44, 49], Operations: ['61-17=44', '57-8=49']
Exploring Operation: 44+49=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
32,
95,
83,
79
] | 85 | [
"95-79=16",
"32/16=2",
"83+2=85"
] | Current State: 85:[32, 95, 83, 79], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [32, 83, 16]
Generated Node #2: [32, 83, 16] from Operation: 95-79=16
Current State: 85:[32, 83, 16], Operations: ['95-79=16']
Exploring Operation: 32/16=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 32/16=2
Current State: 85:[83, 2], Operations: ['95-79=16', '32/16=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
58,
7,
9,
99
] | 17 | [
"9-7=2",
"58*2=116",
"116-99=17"
] | Current State: 17:[58, 7, 9, 99], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [58, 99, 2]
Generated Node #2: [58, 99, 2] from Operation: 9-7=2
Current State: 17:[58, 99, 2], Operations: ['9-7=2']
Exploring Operation: 58*2=116, Resulting Numbers: [99, 116]
Generated Node #3: [99, 116] from Operation: 58*2=116
Current State: 17:[99, 116], Operations: ['9-7=2', '58*2=116']
Exploring Operation: 116-99=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
7,
75,
70,
25
] | 12 | [
"75-70=5",
"25/5=5",
"7+5=12"
] | Current State: 12:[7, 75, 70, 25], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [7, 25, 5]
Generated Node #2: [7, 25, 5] from Operation: 75-70=5
Current State: 12:[7, 25, 5], Operations: ['75-70=5']
Exploring Operation: 25/5=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 25/5=5
Current State: 12:[7, 5], Operations: ['75-70=5', '25/5=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
53,
5,
17,
46
] | 32 | [
"53+17=70",
"70/5=14",
"46-14=32"
] | Current State: 32:[53, 5, 17, 46], Operations: []
Exploring Operation: 53+17=70, Resulting Numbers: [5, 46, 70]
Generated Node #2: [5, 46, 70] from Operation: 53+17=70
Current State: 32:[5, 46, 70], Operations: ['53+17=70']
Exploring Operation: 70/5=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 70/5=14
Current State: 32:[46, 14], Operations: ['53+17=70', '70/5=14']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
93,
99,
75,
19
] | 50 | [
"99-93=6",
"75-19=56",
"56-6=50"
] | Current State: 50:[93, 99, 75, 19], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [75, 19, 6]
Generated Node #2: [75, 19, 6] from Operation: 99-93=6
Current State: 50:[75, 19, 6], Operations: ['99-93=6']
Exploring Operation: 75-19=56, Resulting Numbers: [6, 56]
Generated Node #3: [6, 56] from Operation: 75-19=56
Current State: 50:[6, 56], Operations: ['99-93=6', '75-19=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
30,
16,
58,
59
] | 32 | [
"59-30=29",
"16*58=928",
"928/29=32"
] | Current State: 32:[30, 16, 58, 59], Operations: []
Exploring Operation: 59-30=29, Resulting Numbers: [16, 58, 29]
Generated Node #2: [16, 58, 29] from Operation: 59-30=29
Current State: 32:[16, 58, 29], Operations: ['59-30=29']
Exploring Operation: 16*58=928, Resulting Numbers: [29, 928]
Generated Node #3: [29, 928] from Operation: 16*58=928
Current State: 32:[29, 928], Operations: ['59-30=29', '16*58=928']
Exploring Operation: 928/29=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
15,
55,
67,
47
] | 90 | [
"15+55=70",
"67-47=20",
"70+20=90"
] | Current State: 90:[15, 55, 67, 47], Operations: []
Exploring Operation: 15+55=70, Resulting Numbers: [67, 47, 70]
Generated Node #2: [67, 47, 70] from Operation: 15+55=70
Current State: 90:[67, 47, 70], Operations: ['15+55=70']
Exploring Operation: 67-47=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 67-47=20
Current State: 90:[70, 20], Operations: ['15+55=70', '67-47=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
7,
39,
85,
4
] | 24 | [
"39+85=124",
"124/4=31",
"31-7=24"
] | Current State: 24:[7, 39, 85, 4], Operations: []
Exploring Operation: 39+85=124, Resulting Numbers: [7, 4, 124]
Generated Node #2: [7, 4, 124] from Operation: 39+85=124
Current State: 24:[7, 4, 124], Operations: ['39+85=124']
Exploring Operation: 124/4=31, Resulting Numbers: [7, 31]
Generated Node #3: [7, 31] from Operation: 124/4=31
Current State: 24:[7, 31], Operations: ['39+85=124', '124/4=31']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
78,
89,
16,
68
] | 83 | [
"78+89=167",
"16+68=84",
"167-84=83"
] | Current State: 83:[78, 89, 16, 68], Operations: []
Exploring Operation: 78+89=167, Resulting Numbers: [16, 68, 167]
Generated Node #2: [16, 68, 167] from Operation: 78+89=167
Current State: 83:[16, 68, 167], Operations: ['78+89=167']
Exploring Operation: 16+68=84, Resulting Numbers: [167, 84]
Generated Node #3: [167, 84] from Operation: 16+68=84
Current State: 83:[167, 84], Operations: ['78+89=167', '16+68=84']
Exploring Operation: 167-84=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
41,
54,
23,
74
] | 77 | [
"41-23=18",
"54/18=3",
"74+3=77"
] | Current State: 77:[41, 54, 23, 74], Operations: []
Exploring Operation: 41-23=18, Resulting Numbers: [54, 74, 18]
Generated Node #2: [54, 74, 18] from Operation: 41-23=18
Current State: 77:[54, 74, 18], Operations: ['41-23=18']
Exploring Operation: 54/18=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 54/18=3
Current State: 77:[74, 3], Operations: ['41-23=18', '54/18=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
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