nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
14,
83,
10,
27
] | 60 | [
"14+83=97",
"10+27=37",
"97-37=60"
] | Current State: 60:[14, 83, 10, 27], Operations: []
Exploring Operation: 14+83=97, Resulting Numbers: [10, 27, 97]
Generated Node #2: [10, 27, 97] from Operation: 14+83=97
Current State: 60:[10, 27, 97], Operations: ['14+83=97']
Exploring Operation: 10+27=37, Resulting Numbers: [97, 37]
Generated Node #3: [97, 37] from Operation: 10+27=37
Current State: 60:[97, 37], Operations: ['14+83=97', '10+27=37']
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
46,
35,
58
] | 77 | [
"35+58=93",
"93/3=31",
"46+31=77"
] | Current State: 77:[3, 46, 35, 58], Operations: []
Exploring Operation: 35+58=93, Resulting Numbers: [3, 46, 93]
Generated Node #2: [3, 46, 93] from Operation: 35+58=93
Current State: 77:[3, 46, 93], Operations: ['35+58=93']
Exploring Operation: 93/3=31, Resulting Numbers: [46, 31]
Generated Node #3: [46, 31] from Operation: 93/3=31
Current State: 77:[46, 31], Operations: ['35+58=93', '93/3=31']
Exploring Operation: 46+31=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
5,
85,
63,
56
] | 80 | [
"5+85=90",
"56*90=5040",
"5040/63=80"
] | Current State: 80:[5, 85, 63, 56], Operations: []
Exploring Operation: 5+85=90, Resulting Numbers: [63, 56, 90]
Generated Node #2: [63, 56, 90] from Operation: 5+85=90
Current State: 80:[63, 56, 90], Operations: ['5+85=90']
Exploring Operation: 56*90=5040, Resulting Numbers: [63, 5040]
Generated Node #3: [63, 5040] from Operation: 56*90=5040
Current State: 80:[63, 5040], Operations: ['5+85=90', '56*90=5040']
Exploring Operation: 5040/63=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
34,
30,
65,
72
] | 57 | [
"34+30=64",
"72-65=7",
"64-7=57"
] | Current State: 57:[34, 30, 65, 72], Operations: []
Exploring Operation: 34+30=64, Resulting Numbers: [65, 72, 64]
Generated Node #2: [65, 72, 64] from Operation: 34+30=64
Current State: 57:[65, 72, 64], Operations: ['34+30=64']
Exploring Operation: 72-65=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 72-65=7
Current State: 57:[64, 7], Operations: ['34+30=64', '72-65=7']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
47,
49,
22,
93
] | 69 | [
"49-47=2",
"93-22=71",
"71-2=69"
] | Current State: 69:[47, 49, 22, 93], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [22, 93, 2]
Generated Node #2: [22, 93, 2] from Operation: 49-47=2
Current State: 69:[22, 93, 2], Operations: ['49-47=2']
Exploring Operation: 93-22=71, Resulting Numbers: [2, 71]
Generated Node #3: [2, 71] from Operation: 93-22=71
Current State: 69:[2, 71], Operations: ['49-47=2', '93-22=71']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
36,
14,
2,
88
] | 64 | [
"36-14=22",
"88-2=86",
"86-22=64"
] | Current State: 64:[36, 14, 2, 88], Operations: []
Exploring Operation: 36-14=22, Resulting Numbers: [2, 88, 22]
Generated Node #2: [2, 88, 22] from Operation: 36-14=22
Current State: 64:[2, 88, 22], Operations: ['36-14=22']
Exploring Operation: 88-2=86, Resulting Numbers: [22, 86]
Generated Node #3: [22, 86] from Operation: 88-2=86
Current State: 64:[22, 86], Operations: ['36-14=22', '88-2=86']
Exploring Operation: 86-22=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
24,
94,
29,
53
] | 36 | [
"24+94=118",
"29+53=82",
"118-82=36"
] | Current State: 36:[24, 94, 29, 53], Operations: []
Exploring Operation: 24+94=118, Resulting Numbers: [29, 53, 118]
Generated Node #2: [29, 53, 118] from Operation: 24+94=118
Current State: 36:[29, 53, 118], Operations: ['24+94=118']
Exploring Operation: 29+53=82, Resulting Numbers: [118, 82]
Generated Node #3: [118, 82] from Operation: 29+53=82
Current State: 36:[118, 82], Operations: ['24+94=118', '29+53=82']
Exploring Operation: 118-82=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
6,
99,
3,
19
] | 83 | [
"6+99=105",
"3+19=22",
"105-22=83"
] | Current State: 83:[6, 99, 3, 19], Operations: []
Exploring Operation: 6+99=105, Resulting Numbers: [3, 19, 105]
Generated Node #2: [3, 19, 105] from Operation: 6+99=105
Current State: 83:[3, 19, 105], Operations: ['6+99=105']
Exploring Operation: 3+19=22, Resulting Numbers: [105, 22]
Generated Node #3: [105, 22] from Operation: 3+19=22
Current State: 83:[105, 22], Operations: ['6+99=105', '3+19=22']
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
62,
56,
31,
76
] | 18 | [
"62/31=2",
"76-56=20",
"20-2=18"
] | Current State: 18:[62, 56, 31, 76], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [56, 76, 2]
Generated Node #2: [56, 76, 2] from Operation: 62/31=2
Current State: 18:[56, 76, 2], Operations: ['62/31=2']
Exploring Operation: 76-56=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 76-56=20
Current State: 18:[2, 20], Operations: ['62/31=2', '76-56=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
44,
79,
3
] | 34 | [
"3/3=1",
"79-44=35",
"35-1=34"
] | Current State: 34:[3, 44, 79, 3], Operations: []
Exploring Operation: 3/3=1, Resulting Numbers: [44, 79, 1]
Generated Node #2: [44, 79, 1] from Operation: 3/3=1
Current State: 34:[44, 79, 1], Operations: ['3/3=1']
Exploring Operation: 79-44=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 79-44=35
Current State: 34:[1, 35], Operations: ['3/3=1', '79-44=35']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
10,
62,
45
] | 20 | [
"34*10=340",
"62-45=17",
"340/17=20"
] | Current State: 20:[34, 10, 62, 45], Operations: []
Exploring Operation: 34*10=340, Resulting Numbers: [62, 45, 340]
Generated Node #2: [62, 45, 340] from Operation: 34*10=340
Current State: 20:[62, 45, 340], Operations: ['34*10=340']
Exploring Operation: 62-45=17, Resulting Numbers: [340, 17]
Generated Node #3: [340, 17] from Operation: 62-45=17
Current State: 20:[340, 17], Operations: ['34*10=340', '62-45=17']
Exploring Operation: 340/17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
5,
61,
86,
13
] | 68 | [
"5+86=91",
"91/13=7",
"61+7=68"
] | Current State: 68:[5, 61, 86, 13], Operations: []
Exploring Operation: 5+86=91, Resulting Numbers: [61, 13, 91]
Generated Node #2: [61, 13, 91] from Operation: 5+86=91
Current State: 68:[61, 13, 91], Operations: ['5+86=91']
Exploring Operation: 91/13=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 91/13=7
Current State: 68:[61, 7], Operations: ['5+86=91', '91/13=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
27,
52,
56
] | 83 | [
"27-2=25",
"52+56=108",
"108-25=83"
] | Current State: 83:[2, 27, 52, 56], Operations: []
Exploring Operation: 27-2=25, Resulting Numbers: [52, 56, 25]
Generated Node #2: [52, 56, 25] from Operation: 27-2=25
Current State: 83:[52, 56, 25], Operations: ['27-2=25']
Exploring Operation: 52+56=108, Resulting Numbers: [25, 108]
Generated Node #3: [25, 108] from Operation: 52+56=108
Current State: 83:[25, 108], Operations: ['27-2=25', '52+56=108']
Exploring Operation: 108-25=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
16,
81,
53,
54
] | 77 | [
"16*81=1296",
"1296/54=24",
"53+24=77"
] | Current State: 77:[16, 81, 53, 54], Operations: []
Exploring Operation: 16*81=1296, Resulting Numbers: [53, 54, 1296]
Generated Node #2: [53, 54, 1296] from Operation: 16*81=1296
Current State: 77:[53, 54, 1296], Operations: ['16*81=1296']
Exploring Operation: 1296/54=24, Resulting Numbers: [53, 24]
Generated Node #3: [53, 24] from Operation: 1296/54=24
Current State: 77:[53, 24], Operations: ['16*81=1296', '1296/54=24']
Exploring Operation: 53+24=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
90,
62,
14,
30
] | 28 | [
"90-62=28",
"28/14=2",
"30-2=28"
] | Current State: 28:[90, 62, 14, 30], Operations: []
Exploring Operation: 90-62=28, Resulting Numbers: [14, 30, 28]
Generated Node #2: [14, 30, 28] from Operation: 90-62=28
Current State: 28:[14, 30, 28], Operations: ['90-62=28']
Exploring Operation: 28/14=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 28/14=2
Current State: 28:[30, 2], Operations: ['90-62=28', '28/14=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
98,
29,
67,
36
] | 58 | [
"98+36=134",
"29*134=3886",
"3886/67=58"
] | Current State: 58:[98, 29, 67, 36], Operations: []
Exploring Operation: 98+36=134, Resulting Numbers: [29, 67, 134]
Generated Node #2: [29, 67, 134] from Operation: 98+36=134
Current State: 58:[29, 67, 134], Operations: ['98+36=134']
Exploring Operation: 29*134=3886, Resulting Numbers: [67, 3886]
Generated Node #3: [67, 3886] from Operation: 29*134=3886
Current State: 58:[67, 3886], Operations: ['98+36=134', '29*134=3886']
Exploring Operation: 3886/67=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
41,
21,
49,
44
] | 100 | [
"41-21=20",
"49-44=5",
"20*5=100"
] | Current State: 100:[41, 21, 49, 44], Operations: []
Exploring Operation: 41-21=20, Resulting Numbers: [49, 44, 20]
Generated Node #2: [49, 44, 20] from Operation: 41-21=20
Current State: 100:[49, 44, 20], Operations: ['41-21=20']
Exploring Operation: 49-44=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 49-44=5
Current State: 100:[20, 5], Operations: ['41-21=20', '49-44=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
12,
19,
6,
17
] | 16 | [
"19-12=7",
"6+17=23",
"23-7=16"
] | Current State: 16:[12, 19, 6, 17], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [6, 17, 7]
Generated Node #2: [6, 17, 7] from Operation: 19-12=7
Current State: 16:[6, 17, 7], Operations: ['19-12=7']
Exploring Operation: 6+17=23, Resulting Numbers: [7, 23]
Generated Node #3: [7, 23] from Operation: 6+17=23
Current State: 16:[7, 23], Operations: ['19-12=7', '6+17=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
20,
50,
29,
52
] | 39 | [
"52-50=2",
"20/2=10",
"29+10=39"
] | Current State: 39:[20, 50, 29, 52], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [20, 29, 2]
Generated Node #2: [20, 29, 2] from Operation: 52-50=2
Current State: 39:[20, 29, 2], Operations: ['52-50=2']
Exploring Operation: 20/2=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 20/2=10
Current State: 39:[29, 10], Operations: ['52-50=2', '20/2=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
19,
13,
8,
52
] | 100 | [
"19-13=6",
"8*6=48",
"52+48=100"
] | Current State: 100:[19, 13, 8, 52], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [8, 52, 6]
Generated Node #2: [8, 52, 6] from Operation: 19-13=6
Current State: 100:[8, 52, 6], Operations: ['19-13=6']
Exploring Operation: 8*6=48, Resulting Numbers: [52, 48]
Generated Node #3: [52, 48] from Operation: 8*6=48
Current State: 100:[52, 48], Operations: ['19-13=6', '8*6=48']
Exploring Operation: 52+48=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
51,
9,
3,
54
] | 30 | [
"54-51=3",
"9*3=27",
"3+27=30"
] | Current State: 30:[51, 9, 3, 54], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [9, 3, 3]
Generated Node #2: [9, 3, 3] from Operation: 54-51=3
Current State: 30:[9, 3, 3], Operations: ['54-51=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,30 equal: Goal Reached
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
20,
39,
31,
5
] | 32 | [
"20/5=4",
"39-31=8",
"4*8=32"
] | Current State: 32:[20, 39, 31, 5], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [39, 31, 4]
Generated Node #2: [39, 31, 4] from Operation: 20/5=4
Current State: 32:[39, 31, 4], Operations: ['20/5=4']
Exploring Operation: 39-31=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 39-31=8
Current State: 32:[4, 8], Operations: ['20/5=4', '39-31=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
62,
63,
11,
87
] | 75 | [
"63-62=1",
"87-11=76",
"76-1=75"
] | Current State: 75:[62, 63, 11, 87], Operations: []
Exploring Operation: 63-62=1, Resulting Numbers: [11, 87, 1]
Generated Node #2: [11, 87, 1] from Operation: 63-62=1
Current State: 75:[11, 87, 1], Operations: ['63-62=1']
Exploring Operation: 87-11=76, Resulting Numbers: [1, 76]
Generated Node #3: [1, 76] from Operation: 87-11=76
Current State: 75:[1, 76], Operations: ['63-62=1', '87-11=76']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
26,
10,
60,
37
] | 85 | [
"60*37=2220",
"2220-10=2210",
"2210/26=85"
] | Current State: 85:[26, 10, 60, 37], Operations: []
Exploring Operation: 60*37=2220, Resulting Numbers: [26, 10, 2220]
Generated Node #2: [26, 10, 2220] from Operation: 60*37=2220
Current State: 85:[26, 10, 2220], Operations: ['60*37=2220']
Exploring Operation: 2220-10=2210, Resulting Numbers: [26, 2210]
Generated Node #3: [26, 2210] from Operation: 2220-10=2210
Current State: 85:[26, 2210], Operations: ['60*37=2220', '2220-10=2210']
Exploring Operation: 2210/26=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
97,
81,
10
] | 90 | [
"97-81=16",
"5*16=80",
"10+80=90"
] | Current State: 90:[5, 97, 81, 10], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [5, 10, 16]
Generated Node #2: [5, 10, 16] from Operation: 97-81=16
Current State: 90:[5, 10, 16], Operations: ['97-81=16']
Exploring Operation: 5*16=80, Resulting Numbers: [10, 80]
Generated Node #3: [10, 80] from Operation: 5*16=80
Current State: 90:[10, 80], Operations: ['97-81=16', '5*16=80']
Exploring Operation: 10+80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
48,
69,
34,
32
] | 93 | [
"34-32=2",
"48/2=24",
"69+24=93"
] | Current State: 93:[48, 69, 34, 32], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [48, 69, 2]
Generated Node #2: [48, 69, 2] from Operation: 34-32=2
Current State: 93:[48, 69, 2], Operations: ['34-32=2']
Exploring Operation: 48/2=24, Resulting Numbers: [69, 24]
Generated Node #3: [69, 24] from Operation: 48/2=24
Current State: 93:[69, 24], Operations: ['34-32=2', '48/2=24']
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
49,
86,
73,
61
] | 84 | [
"49+73=122",
"122/61=2",
"86-2=84"
] | Current State: 84:[49, 86, 73, 61], Operations: []
Exploring Operation: 49+73=122, Resulting Numbers: [86, 61, 122]
Generated Node #2: [86, 61, 122] from Operation: 49+73=122
Current State: 84:[86, 61, 122], Operations: ['49+73=122']
Exploring Operation: 122/61=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 122/61=2
Current State: 84:[86, 2], Operations: ['49+73=122', '122/61=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
86,
41,
23,
70
] | 92 | [
"86-41=45",
"70-23=47",
"45+47=92"
] | Current State: 92:[86, 41, 23, 70], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [23, 70, 45]
Generated Node #2: [23, 70, 45] from Operation: 86-41=45
Current State: 92:[23, 70, 45], Operations: ['86-41=45']
Exploring Operation: 70-23=47, Resulting Numbers: [45, 47]
Generated Node #3: [45, 47] from Operation: 70-23=47
Current State: 92:[45, 47], Operations: ['86-41=45', '70-23=47']
Exploring Operation: 45+47=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
96,
96,
26,
26
] | 52 | [
"96-96=0",
"26+26=52",
"0+52=52"
] | Current State: 52:[96, 96, 26, 26], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [26, 26, 0]
Generated Node #2: [26, 26, 0] from Operation: 96-96=0
Current State: 52:[26, 26, 0], Operations: ['96-96=0']
Exploring Operation: 26+26=52, Resulting Numbers: [0, 52]
Generated Node #3: [0, 52] from Operation: 26+26=52
Current State: 52:[0, 52], Operations: ['96-96=0', '26+26=52']
Exploring Operation: 0+52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
49,
79,
50,
54
] | 24 | [
"49+79=128",
"50+54=104",
"128-104=24"
] | Current State: 24:[49, 79, 50, 54], Operations: []
Exploring Operation: 49+79=128, Resulting Numbers: [50, 54, 128]
Generated Node #2: [50, 54, 128] from Operation: 49+79=128
Current State: 24:[50, 54, 128], Operations: ['49+79=128']
Exploring Operation: 50+54=104, Resulting Numbers: [128, 104]
Generated Node #3: [128, 104] from Operation: 50+54=104
Current State: 24:[128, 104], Operations: ['49+79=128', '50+54=104']
Exploring Operation: 128-104=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
21,
77,
84,
45
] | 41 | [
"77*45=3465",
"3465-21=3444",
"3444/84=41"
] | Current State: 41:[21, 77, 84, 45], Operations: []
Exploring Operation: 77*45=3465, Resulting Numbers: [21, 84, 3465]
Generated Node #2: [21, 84, 3465] from Operation: 77*45=3465
Current State: 41:[21, 84, 3465], Operations: ['77*45=3465']
Exploring Operation: 3465-21=3444, Resulting Numbers: [84, 3444]
Generated Node #3: [84, 3444] from Operation: 3465-21=3444
Current State: 41:[84, 3444], Operations: ['77*45=3465', '3465-21=3444']
Exploring Operation: 3444/84=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
93,
91,
2,
40
] | 18 | [
"93-91=2",
"40/2=20",
"20-2=18"
] | Current State: 18:[93, 91, 2, 40], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [2, 40, 2]
Generated Node #2: [2, 40, 2] from Operation: 93-91=2
Current State: 18:[2, 40, 2], Operations: ['93-91=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,18 equal: Goal Reached
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
74,
42,
6,
84
] | 12 | [
"84/42=2",
"74-2=72",
"72/6=12"
] | Current State: 12:[74, 42, 6, 84], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [74, 6, 2]
Generated Node #2: [74, 6, 2] from Operation: 84/42=2
Current State: 12:[74, 6, 2], Operations: ['84/42=2']
Exploring Operation: 74-2=72, Resulting Numbers: [6, 72]
Generated Node #3: [6, 72] from Operation: 74-2=72
Current State: 12:[6, 72], Operations: ['84/42=2', '74-2=72']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
4,
23,
2,
75
] | 29 | [
"4*23=92",
"92/2=46",
"75-46=29"
] | Current State: 29:[4, 23, 2, 75], Operations: []
Exploring Operation: 4*23=92, Resulting Numbers: [2, 75, 92]
Generated Node #2: [2, 75, 92] from Operation: 4*23=92
Current State: 29:[2, 75, 92], Operations: ['4*23=92']
Exploring Operation: 92/2=46, Resulting Numbers: [75, 46]
Generated Node #3: [75, 46] from Operation: 92/2=46
Current State: 29:[75, 46], Operations: ['4*23=92', '92/2=46']
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
31,
96,
37,
19
] | 29 | [
"31-19=12",
"96/12=8",
"37-8=29"
] | Current State: 29:[31, 96, 37, 19], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [96, 37, 12]
Generated Node #2: [96, 37, 12] from Operation: 31-19=12
Current State: 29:[96, 37, 12], Operations: ['31-19=12']
Exploring Operation: 96/12=8, Resulting Numbers: [37, 8]
Generated Node #3: [37, 8] from Operation: 96/12=8
Current State: 29:[37, 8], Operations: ['31-19=12', '96/12=8']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
47,
60,
56,
53
] | 46 | [
"53-47=6",
"60/6=10",
"56-10=46"
] | Current State: 46:[47, 60, 56, 53], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [60, 56, 6]
Generated Node #2: [60, 56, 6] from Operation: 53-47=6
Current State: 46:[60, 56, 6], Operations: ['53-47=6']
Exploring Operation: 60/6=10, Resulting Numbers: [56, 10]
Generated Node #3: [56, 10] from Operation: 60/6=10
Current State: 46:[56, 10], Operations: ['53-47=6', '60/6=10']
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
7,
56,
1,
36
] | 43 | [
"56/7=8",
"36-1=35",
"8+35=43"
] | Current State: 43:[7, 56, 1, 36], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [1, 36, 8]
Generated Node #2: [1, 36, 8] from Operation: 56/7=8
Current State: 43:[1, 36, 8], Operations: ['56/7=8']
Exploring Operation: 36-1=35, Resulting Numbers: [8, 35]
Generated Node #3: [8, 35] from Operation: 36-1=35
Current State: 43:[8, 35], Operations: ['56/7=8', '36-1=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
15,
21,
68,
51
] | 27 | [
"15+21=36",
"51*36=1836",
"1836/68=27"
] | Current State: 27:[15, 21, 68, 51], Operations: []
Exploring Operation: 15+21=36, Resulting Numbers: [68, 51, 36]
Generated Node #2: [68, 51, 36] from Operation: 15+21=36
Current State: 27:[68, 51, 36], Operations: ['15+21=36']
Exploring Operation: 51*36=1836, Resulting Numbers: [68, 1836]
Generated Node #3: [68, 1836] from Operation: 51*36=1836
Current State: 27:[68, 1836], Operations: ['15+21=36', '51*36=1836']
Exploring Operation: 1836/68=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
58,
75,
64,
4
] | 85 | [
"75-58=17",
"64+4=68",
"17+68=85"
] | Current State: 85:[58, 75, 64, 4], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [64, 4, 17]
Generated Node #2: [64, 4, 17] from Operation: 75-58=17
Current State: 85:[64, 4, 17], Operations: ['75-58=17']
Exploring Operation: 64+4=68, Resulting Numbers: [17, 68]
Generated Node #3: [17, 68] from Operation: 64+4=68
Current State: 85:[17, 68], Operations: ['75-58=17', '64+4=68']
Exploring Operation: 17+68=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
74,
8,
76,
37
] | 60 | [
"74*8=592",
"592/37=16",
"76-16=60"
] | Current State: 60:[74, 8, 76, 37], Operations: []
Exploring Operation: 74*8=592, Resulting Numbers: [76, 37, 592]
Generated Node #2: [76, 37, 592] from Operation: 74*8=592
Current State: 60:[76, 37, 592], Operations: ['74*8=592']
Exploring Operation: 592/37=16, Resulting Numbers: [76, 16]
Generated Node #3: [76, 16] from Operation: 592/37=16
Current State: 60:[76, 16], Operations: ['74*8=592', '592/37=16']
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
8,
41,
46,
17
] | 49 | [
"8*17=136",
"41+46=87",
"136-87=49"
] | Current State: 49:[8, 41, 46, 17], Operations: []
Exploring Operation: 8*17=136, Resulting Numbers: [41, 46, 136]
Generated Node #2: [41, 46, 136] from Operation: 8*17=136
Current State: 49:[41, 46, 136], Operations: ['8*17=136']
Exploring Operation: 41+46=87, Resulting Numbers: [136, 87]
Generated Node #3: [136, 87] from Operation: 41+46=87
Current State: 49:[136, 87], Operations: ['8*17=136', '41+46=87']
Exploring Operation: 136-87=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
95,
85,
68,
90
] | 66 | [
"95+85=180",
"180/90=2",
"68-2=66"
] | Current State: 66:[95, 85, 68, 90], Operations: []
Exploring Operation: 95+85=180, Resulting Numbers: [68, 90, 180]
Generated Node #2: [68, 90, 180] from Operation: 95+85=180
Current State: 66:[68, 90, 180], Operations: ['95+85=180']
Exploring Operation: 180/90=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 180/90=2
Current State: 66:[68, 2], Operations: ['95+85=180', '180/90=2']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
7,
44,
4,
1
] | 78 | [
"7*44=308",
"308/4=77",
"1+77=78"
] | Current State: 78:[7, 44, 4, 1], Operations: []
Exploring Operation: 7*44=308, Resulting Numbers: [4, 1, 308]
Generated Node #2: [4, 1, 308] from Operation: 7*44=308
Current State: 78:[4, 1, 308], Operations: ['7*44=308']
Exploring Operation: 308/4=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 308/4=77
Current State: 78:[1, 77], Operations: ['7*44=308', '308/4=77']
Exploring Operation: 1+77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
16,
67,
79,
58
] | 72 | [
"67-16=51",
"79-58=21",
"51+21=72"
] | Current State: 72:[16, 67, 79, 58], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [79, 58, 51]
Generated Node #2: [79, 58, 51] from Operation: 67-16=51
Current State: 72:[79, 58, 51], Operations: ['67-16=51']
Exploring Operation: 79-58=21, Resulting Numbers: [51, 21]
Generated Node #3: [51, 21] from Operation: 79-58=21
Current State: 72:[51, 21], Operations: ['67-16=51', '79-58=21']
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
79,
1,
49,
16
] | 45 | [
"79-1=78",
"49-16=33",
"78-33=45"
] | Current State: 45:[79, 1, 49, 16], Operations: []
Exploring Operation: 79-1=78, Resulting Numbers: [49, 16, 78]
Generated Node #2: [49, 16, 78] from Operation: 79-1=78
Current State: 45:[49, 16, 78], Operations: ['79-1=78']
Exploring Operation: 49-16=33, Resulting Numbers: [78, 33]
Generated Node #3: [78, 33] from Operation: 49-16=33
Current State: 45:[78, 33], Operations: ['79-1=78', '49-16=33']
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
74,
40,
40,
20
] | 76 | [
"40-20=20",
"40/20=2",
"74+2=76"
] | Current State: 76:[74, 40, 40, 20], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [74, 20]
Generated Node #2: [74, 20] from Operation: 40-20=20
Current State: 76:[74, 20], Operations: ['40-20=20']
Exploring Operation: 40/20=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 40/20=2
Current State: 76:[74, 2], Operations: ['40-20=20', '40/20=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
4,
35,
7,
39
] | 19 | [
"4*35=140",
"140/7=20",
"39-20=19"
] | Current State: 19:[4, 35, 7, 39], Operations: []
Exploring Operation: 4*35=140, Resulting Numbers: [7, 39, 140]
Generated Node #2: [7, 39, 140] from Operation: 4*35=140
Current State: 19:[7, 39, 140], Operations: ['4*35=140']
Exploring Operation: 140/7=20, Resulting Numbers: [39, 20]
Generated Node #3: [39, 20] from Operation: 140/7=20
Current State: 19:[39, 20], Operations: ['4*35=140', '140/7=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
2,
89,
47,
46
] | 25 | [
"89-47=42",
"42/2=21",
"46-21=25"
] | Current State: 25:[2, 89, 47, 46], Operations: []
Exploring Operation: 89-47=42, Resulting Numbers: [2, 46, 42]
Generated Node #2: [2, 46, 42] from Operation: 89-47=42
Current State: 25:[2, 46, 42], Operations: ['89-47=42']
Exploring Operation: 42/2=21, Resulting Numbers: [46, 21]
Generated Node #3: [46, 21] from Operation: 42/2=21
Current State: 25:[46, 21], Operations: ['89-47=42', '42/2=21']
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
54,
14,
3,
30
] | 62 | [
"54/3=18",
"14+30=44",
"18+44=62"
] | Current State: 62:[54, 14, 3, 30], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [14, 30, 18]
Generated Node #2: [14, 30, 18] from Operation: 54/3=18
Current State: 62:[14, 30, 18], Operations: ['54/3=18']
Exploring Operation: 14+30=44, Resulting Numbers: [18, 44]
Generated Node #3: [18, 44] from Operation: 14+30=44
Current State: 62:[18, 44], Operations: ['54/3=18', '14+30=44']
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
79,
89,
41,
87
] | 76 | [
"79-41=38",
"89-87=2",
"38*2=76"
] | Current State: 76:[79, 89, 41, 87], Operations: []
Exploring Operation: 79-41=38, Resulting Numbers: [89, 87, 38]
Generated Node #2: [89, 87, 38] from Operation: 79-41=38
Current State: 76:[89, 87, 38], Operations: ['79-41=38']
Exploring Operation: 89-87=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 89-87=2
Current State: 76:[38, 2], Operations: ['79-41=38', '89-87=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
36,
4,
6,
15
] | 36 | [
"36/4=9",
"15-9=6",
"6*6=36"
] | Current State: 36:[36, 4, 6, 15], Operations: []
Exploring Operation: 36/4=9, Resulting Numbers: [6, 15, 9]
Generated Node #2: [6, 15, 9] from Operation: 36/4=9
Current State: 36:[6, 15, 9], Operations: ['36/4=9']
Exploring Operation: 15-9=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 15-9=6
Current State: 36:[6, 6], Operations: ['36/4=9', '15-9=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
6,
8,
9,
14
] | 67 | [
"6*14=84",
"8+9=17",
"84-17=67"
] | Current State: 67:[6, 8, 9, 14], Operations: []
Exploring Operation: 6*14=84, Resulting Numbers: [8, 9, 84]
Generated Node #2: [8, 9, 84] from Operation: 6*14=84
Current State: 67:[8, 9, 84], Operations: ['6*14=84']
Exploring Operation: 8+9=17, Resulting Numbers: [84, 17]
Generated Node #3: [84, 17] from Operation: 8+9=17
Current State: 67:[84, 17], Operations: ['6*14=84', '8+9=17']
Exploring Operation: 84-17=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
18,
47,
20,
91
] | 100 | [
"47-18=29",
"91-20=71",
"29+71=100"
] | Current State: 100:[18, 47, 20, 91], Operations: []
Exploring Operation: 47-18=29, Resulting Numbers: [20, 91, 29]
Generated Node #2: [20, 91, 29] from Operation: 47-18=29
Current State: 100:[20, 91, 29], Operations: ['47-18=29']
Exploring Operation: 91-20=71, Resulting Numbers: [29, 71]
Generated Node #3: [29, 71] from Operation: 91-20=71
Current State: 100:[29, 71], Operations: ['47-18=29', '91-20=71']
Exploring Operation: 29+71=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
98,
61,
69,
6
] | 84 | [
"98+61=159",
"69+6=75",
"159-75=84"
] | Current State: 84:[98, 61, 69, 6], Operations: []
Exploring Operation: 98+61=159, Resulting Numbers: [69, 6, 159]
Generated Node #2: [69, 6, 159] from Operation: 98+61=159
Current State: 84:[69, 6, 159], Operations: ['98+61=159']
Exploring Operation: 69+6=75, Resulting Numbers: [159, 75]
Generated Node #3: [159, 75] from Operation: 69+6=75
Current State: 84:[159, 75], Operations: ['98+61=159', '69+6=75']
Exploring Operation: 159-75=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
72,
93,
11,
59
] | 27 | [
"93-72=21",
"59-11=48",
"48-21=27"
] | Current State: 27:[72, 93, 11, 59], Operations: []
Exploring Operation: 93-72=21, Resulting Numbers: [11, 59, 21]
Generated Node #2: [11, 59, 21] from Operation: 93-72=21
Current State: 27:[11, 59, 21], Operations: ['93-72=21']
Exploring Operation: 59-11=48, Resulting Numbers: [21, 48]
Generated Node #3: [21, 48] from Operation: 59-11=48
Current State: 27:[21, 48], Operations: ['93-72=21', '59-11=48']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
34,
70,
98,
33
] | 29 | [
"70-34=36",
"98-33=65",
"65-36=29"
] | Current State: 29:[34, 70, 98, 33], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [98, 33, 36]
Generated Node #2: [98, 33, 36] from Operation: 70-34=36
Current State: 29:[98, 33, 36], Operations: ['70-34=36']
Exploring Operation: 98-33=65, Resulting Numbers: [36, 65]
Generated Node #3: [36, 65] from Operation: 98-33=65
Current State: 29:[36, 65], Operations: ['70-34=36', '98-33=65']
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
6,
93,
55,
93
] | 50 | [
"55-6=49",
"93/93=1",
"49+1=50"
] | Current State: 50:[6, 93, 55, 93], Operations: []
Exploring Operation: 55-6=49, Resulting Numbers: [93, 93, 49]
Generated Node #2: [93, 93, 49] from Operation: 55-6=49
Current State: 50:[93, 93, 49], Operations: ['55-6=49']
Exploring Operation: 93/93=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 93/93=1
Current State: 50:[49, 1], Operations: ['55-6=49', '93/93=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
27,
25,
7,
2
] | 91 | [
"25+7=32",
"2*32=64",
"27+64=91"
] | Current State: 91:[27, 25, 7, 2], Operations: []
Exploring Operation: 25+7=32, Resulting Numbers: [27, 2, 32]
Generated Node #2: [27, 2, 32] from Operation: 25+7=32
Current State: 91:[27, 2, 32], Operations: ['25+7=32']
Exploring Operation: 2*32=64, Resulting Numbers: [27, 64]
Generated Node #3: [27, 64] from Operation: 2*32=64
Current State: 91:[27, 64], Operations: ['25+7=32', '2*32=64']
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
48,
72,
28,
84
] | 14 | [
"84-48=36",
"72/36=2",
"28/2=14"
] | Current State: 14:[48, 72, 28, 84], Operations: []
Exploring Operation: 84-48=36, Resulting Numbers: [72, 28, 36]
Generated Node #2: [72, 28, 36] from Operation: 84-48=36
Current State: 14:[72, 28, 36], Operations: ['84-48=36']
Exploring Operation: 72/36=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 72/36=2
Current State: 14:[28, 2], Operations: ['84-48=36', '72/36=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
63,
2,
63,
2
] | 61 | [
"63+2=65",
"63*2=126",
"126-65=61"
] | Current State: 61:[63, 2, 63, 2], Operations: []
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,61 equal: Goal Reached
Exploring Operation: 63*2=126, Resulting Numbers: [65, 126]
Generated Node #2: [65, 126] from Operation: 63*2=126
Current State: 61:[65, 126], Operations: ['63*2=126']
Exploring Operation: 126-65=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
76,
27,
89,
17
] | 23 | [
"76-27=49",
"89-17=72",
"72-49=23"
] | Current State: 23:[76, 27, 89, 17], Operations: []
Exploring Operation: 76-27=49, Resulting Numbers: [89, 17, 49]
Generated Node #2: [89, 17, 49] from Operation: 76-27=49
Current State: 23:[89, 17, 49], Operations: ['76-27=49']
Exploring Operation: 89-17=72, Resulting Numbers: [49, 72]
Generated Node #3: [49, 72] from Operation: 89-17=72
Current State: 23:[49, 72], Operations: ['76-27=49', '89-17=72']
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
34,
22,
95,
16
] | 61 | [
"22*95=2090",
"2090-16=2074",
"2074/34=61"
] | Current State: 61:[34, 22, 95, 16], Operations: []
Exploring Operation: 22*95=2090, Resulting Numbers: [34, 16, 2090]
Generated Node #2: [34, 16, 2090] from Operation: 22*95=2090
Current State: 61:[34, 16, 2090], Operations: ['22*95=2090']
Exploring Operation: 2090-16=2074, Resulting Numbers: [34, 2074]
Generated Node #3: [34, 2074] from Operation: 2090-16=2074
Current State: 61:[34, 2074], Operations: ['22*95=2090', '2090-16=2074']
Exploring Operation: 2074/34=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
76,
91,
19,
55
] | 40 | [
"76/19=4",
"91-55=36",
"4+36=40"
] | Current State: 40:[76, 91, 19, 55], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [91, 55, 4]
Generated Node #2: [91, 55, 4] from Operation: 76/19=4
Current State: 40:[91, 55, 4], Operations: ['76/19=4']
Exploring Operation: 91-55=36, Resulting Numbers: [4, 36]
Generated Node #3: [4, 36] from Operation: 91-55=36
Current State: 40:[4, 36], Operations: ['76/19=4', '91-55=36']
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
85,
12,
24,
63
] | 74 | [
"85+63=148",
"24/12=2",
"148/2=74"
] | Current State: 74:[85, 12, 24, 63], Operations: []
Exploring Operation: 85+63=148, Resulting Numbers: [12, 24, 148]
Generated Node #2: [12, 24, 148] from Operation: 85+63=148
Current State: 74:[12, 24, 148], Operations: ['85+63=148']
Exploring Operation: 24/12=2, Resulting Numbers: [148, 2]
Generated Node #3: [148, 2] from Operation: 24/12=2
Current State: 74:[148, 2], Operations: ['85+63=148', '24/12=2']
Exploring Operation: 148/2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
32,
49,
16,
3
] | 43 | [
"32+49=81",
"81/3=27",
"16+27=43"
] | Current State: 43:[32, 49, 16, 3], Operations: []
Exploring Operation: 32+49=81, Resulting Numbers: [16, 3, 81]
Generated Node #2: [16, 3, 81] from Operation: 32+49=81
Current State: 43:[16, 3, 81], Operations: ['32+49=81']
Exploring Operation: 81/3=27, Resulting Numbers: [16, 27]
Generated Node #3: [16, 27] from Operation: 81/3=27
Current State: 43:[16, 27], Operations: ['32+49=81', '81/3=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
79,
99,
14,
11
] | 47 | [
"99*14=1386",
"1386/11=126",
"126-79=47"
] | Current State: 47:[79, 99, 14, 11], Operations: []
Exploring Operation: 99*14=1386, Resulting Numbers: [79, 11, 1386]
Generated Node #2: [79, 11, 1386] from Operation: 99*14=1386
Current State: 47:[79, 11, 1386], Operations: ['99*14=1386']
Exploring Operation: 1386/11=126, Resulting Numbers: [79, 126]
Generated Node #3: [79, 126] from Operation: 1386/11=126
Current State: 47:[79, 126], Operations: ['99*14=1386', '1386/11=126']
Exploring Operation: 126-79=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
54,
25,
80,
31
] | 89 | [
"31-25=6",
"54/6=9",
"80+9=89"
] | Current State: 89:[54, 25, 80, 31], Operations: []
Exploring Operation: 31-25=6, Resulting Numbers: [54, 80, 6]
Generated Node #2: [54, 80, 6] from Operation: 31-25=6
Current State: 89:[54, 80, 6], Operations: ['31-25=6']
Exploring Operation: 54/6=9, Resulting Numbers: [80, 9]
Generated Node #3: [80, 9] from Operation: 54/6=9
Current State: 89:[80, 9], Operations: ['31-25=6', '54/6=9']
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
11,
30,
6,
4
] | 21 | [
"30-11=19",
"6-4=2",
"19+2=21"
] | Current State: 21:[11, 30, 6, 4], Operations: []
Exploring Operation: 30-11=19, Resulting Numbers: [6, 4, 19]
Generated Node #2: [6, 4, 19] from Operation: 30-11=19
Current State: 21:[6, 4, 19], Operations: ['30-11=19']
Exploring Operation: 6-4=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 6-4=2
Current State: 21:[19, 2], Operations: ['30-11=19', '6-4=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
13,
91,
27,
26
] | 59 | [
"26/13=2",
"91+27=118",
"118/2=59"
] | Current State: 59:[13, 91, 27, 26], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [91, 27, 2]
Generated Node #2: [91, 27, 2] from Operation: 26/13=2
Current State: 59:[91, 27, 2], Operations: ['26/13=2']
Exploring Operation: 91+27=118, Resulting Numbers: [2, 118]
Generated Node #3: [2, 118] from Operation: 91+27=118
Current State: 59:[2, 118], Operations: ['26/13=2', '91+27=118']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
84,
38,
47,
25
] | 100 | [
"84+38=122",
"47-25=22",
"122-22=100"
] | Current State: 100:[84, 38, 47, 25], Operations: []
Exploring Operation: 84+38=122, Resulting Numbers: [47, 25, 122]
Generated Node #2: [47, 25, 122] from Operation: 84+38=122
Current State: 100:[47, 25, 122], Operations: ['84+38=122']
Exploring Operation: 47-25=22, Resulting Numbers: [122, 22]
Generated Node #3: [122, 22] from Operation: 47-25=22
Current State: 100:[122, 22], Operations: ['84+38=122', '47-25=22']
Exploring Operation: 122-22=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
74,
10,
36,
78
] | 67 | [
"74+36=110",
"110/10=11",
"78-11=67"
] | Current State: 67:[74, 10, 36, 78], Operations: []
Exploring Operation: 74+36=110, Resulting Numbers: [10, 78, 110]
Generated Node #2: [10, 78, 110] from Operation: 74+36=110
Current State: 67:[10, 78, 110], Operations: ['74+36=110']
Exploring Operation: 110/10=11, Resulting Numbers: [78, 11]
Generated Node #3: [78, 11] from Operation: 110/10=11
Current State: 67:[78, 11], Operations: ['74+36=110', '110/10=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
18,
58,
44,
89
] | 57 | [
"18+58=76",
"44+89=133",
"133-76=57"
] | Current State: 57:[18, 58, 44, 89], Operations: []
Exploring Operation: 18+58=76, Resulting Numbers: [44, 89, 76]
Generated Node #2: [44, 89, 76] from Operation: 18+58=76
Current State: 57:[44, 89, 76], Operations: ['18+58=76']
Exploring Operation: 44+89=133, Resulting Numbers: [76, 133]
Generated Node #3: [76, 133] from Operation: 44+89=133
Current State: 57:[76, 133], Operations: ['18+58=76', '44+89=133']
Exploring Operation: 133-76=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
6,
67,
31
] | 10 | [
"67-6=61",
"61-31=30",
"30/3=10"
] | Current State: 10:[3, 6, 67, 31], Operations: []
Exploring Operation: 67-6=61, Resulting Numbers: [3, 31, 61]
Generated Node #2: [3, 31, 61] from Operation: 67-6=61
Current State: 10:[3, 31, 61], Operations: ['67-6=61']
Exploring Operation: 61-31=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 61-31=30
Current State: 10:[3, 30], Operations: ['67-6=61', '61-31=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
37,
69,
2,
68
] | 40 | [
"37+69=106",
"68-2=66",
"106-66=40"
] | Current State: 40:[37, 69, 2, 68], Operations: []
Exploring Operation: 37+69=106, Resulting Numbers: [2, 68, 106]
Generated Node #2: [2, 68, 106] from Operation: 37+69=106
Current State: 40:[2, 68, 106], Operations: ['37+69=106']
Exploring Operation: 68-2=66, Resulting Numbers: [106, 66]
Generated Node #3: [106, 66] from Operation: 68-2=66
Current State: 40:[106, 66], Operations: ['37+69=106', '68-2=66']
Exploring Operation: 106-66=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
51,
80,
70,
60
] | 39 | [
"80-51=29",
"70-60=10",
"29+10=39"
] | Current State: 39:[51, 80, 70, 60], Operations: []
Exploring Operation: 80-51=29, Resulting Numbers: [70, 60, 29]
Generated Node #2: [70, 60, 29] from Operation: 80-51=29
Current State: 39:[70, 60, 29], Operations: ['80-51=29']
Exploring Operation: 70-60=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 70-60=10
Current State: 39:[29, 10], Operations: ['80-51=29', '70-60=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
67,
46,
1,
3
] | 68 | [
"67-1=66",
"66/3=22",
"46+22=68"
] | Current State: 68:[67, 46, 1, 3], Operations: []
Exploring Operation: 67-1=66, Resulting Numbers: [46, 3, 66]
Generated Node #2: [46, 3, 66] from Operation: 67-1=66
Current State: 68:[46, 3, 66], Operations: ['67-1=66']
Exploring Operation: 66/3=22, Resulting Numbers: [46, 22]
Generated Node #3: [46, 22] from Operation: 66/3=22
Current State: 68:[46, 22], Operations: ['67-1=66', '66/3=22']
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
73,
7,
89,
79
] | 88 | [
"73+7=80",
"89+79=168",
"168-80=88"
] | Current State: 88:[73, 7, 89, 79], Operations: []
Exploring Operation: 73+7=80, Resulting Numbers: [89, 79, 80]
Generated Node #2: [89, 79, 80] from Operation: 73+7=80
Current State: 88:[89, 79, 80], Operations: ['73+7=80']
Exploring Operation: 89+79=168, Resulting Numbers: [80, 168]
Generated Node #3: [80, 168] from Operation: 89+79=168
Current State: 88:[80, 168], Operations: ['73+7=80', '89+79=168']
Exploring Operation: 168-80=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
7,
23,
89,
61
] | 77 | [
"23+89=112",
"112/7=16",
"61+16=77"
] | Current State: 77:[7, 23, 89, 61], Operations: []
Exploring Operation: 23+89=112, Resulting Numbers: [7, 61, 112]
Generated Node #2: [7, 61, 112] from Operation: 23+89=112
Current State: 77:[7, 61, 112], Operations: ['23+89=112']
Exploring Operation: 112/7=16, Resulting Numbers: [61, 16]
Generated Node #3: [61, 16] from Operation: 112/7=16
Current State: 77:[61, 16], Operations: ['23+89=112', '112/7=16']
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
38,
20,
68,
22
] | 33 | [
"68-38=30",
"22*30=660",
"660/20=33"
] | Current State: 33:[38, 20, 68, 22], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [20, 22, 30]
Generated Node #2: [20, 22, 30] from Operation: 68-38=30
Current State: 33:[20, 22, 30], Operations: ['68-38=30']
Exploring Operation: 22*30=660, Resulting Numbers: [20, 660]
Generated Node #3: [20, 660] from Operation: 22*30=660
Current State: 33:[20, 660], Operations: ['68-38=30', '22*30=660']
Exploring Operation: 660/20=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
62,
14,
4,
31
] | 41 | [
"62+14=76",
"4+31=35",
"76-35=41"
] | Current State: 41:[62, 14, 4, 31], Operations: []
Exploring Operation: 62+14=76, Resulting Numbers: [4, 31, 76]
Generated Node #2: [4, 31, 76] from Operation: 62+14=76
Current State: 41:[4, 31, 76], Operations: ['62+14=76']
Exploring Operation: 4+31=35, Resulting Numbers: [76, 35]
Generated Node #3: [76, 35] from Operation: 4+31=35
Current State: 41:[76, 35], Operations: ['62+14=76', '4+31=35']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
67,
97,
25,
40
] | 48 | [
"97-67=30",
"40*30=1200",
"1200/25=48"
] | Current State: 48:[67, 97, 25, 40], Operations: []
Exploring Operation: 97-67=30, Resulting Numbers: [25, 40, 30]
Generated Node #2: [25, 40, 30] from Operation: 97-67=30
Current State: 48:[25, 40, 30], Operations: ['97-67=30']
Exploring Operation: 40*30=1200, Resulting Numbers: [25, 1200]
Generated Node #3: [25, 1200] from Operation: 40*30=1200
Current State: 48:[25, 1200], Operations: ['97-67=30', '40*30=1200']
Exploring Operation: 1200/25=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
80,
6,
47,
40
] | 27 | [
"80+40=120",
"120/6=20",
"47-20=27"
] | Current State: 27:[80, 6, 47, 40], Operations: []
Exploring Operation: 80+40=120, Resulting Numbers: [6, 47, 120]
Generated Node #2: [6, 47, 120] from Operation: 80+40=120
Current State: 27:[6, 47, 120], Operations: ['80+40=120']
Exploring Operation: 120/6=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 120/6=20
Current State: 27:[47, 20], Operations: ['80+40=120', '120/6=20']
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
76,
58,
33,
2
] | 61 | [
"76*2=152",
"58+33=91",
"152-91=61"
] | Current State: 61:[76, 58, 33, 2], Operations: []
Exploring Operation: 76*2=152, Resulting Numbers: [58, 33, 152]
Generated Node #2: [58, 33, 152] from Operation: 76*2=152
Current State: 61:[58, 33, 152], Operations: ['76*2=152']
Exploring Operation: 58+33=91, Resulting Numbers: [152, 91]
Generated Node #3: [152, 91] from Operation: 58+33=91
Current State: 61:[152, 91], Operations: ['76*2=152', '58+33=91']
Exploring Operation: 152-91=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
10,
54,
95
] | 68 | [
"10/5=2",
"54/2=27",
"95-27=68"
] | Current State: 68:[5, 10, 54, 95], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [54, 95, 2]
Generated Node #2: [54, 95, 2] from Operation: 10/5=2
Current State: 68:[54, 95, 2], Operations: ['10/5=2']
Exploring Operation: 54/2=27, Resulting Numbers: [95, 27]
Generated Node #3: [95, 27] from Operation: 54/2=27
Current State: 68:[95, 27], Operations: ['10/5=2', '54/2=27']
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
58,
59,
1,
30
] | 86 | [
"58+59=117",
"1+30=31",
"117-31=86"
] | Current State: 86:[58, 59, 1, 30], Operations: []
Exploring Operation: 58+59=117, Resulting Numbers: [1, 30, 117]
Generated Node #2: [1, 30, 117] from Operation: 58+59=117
Current State: 86:[1, 30, 117], Operations: ['58+59=117']
Exploring Operation: 1+30=31, Resulting Numbers: [117, 31]
Generated Node #3: [117, 31] from Operation: 1+30=31
Current State: 86:[117, 31], Operations: ['58+59=117', '1+30=31']
Exploring Operation: 117-31=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
82,
97,
95,
60
] | 99 | [
"97-82=15",
"60/15=4",
"95+4=99"
] | Current State: 99:[82, 97, 95, 60], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [95, 60, 15]
Generated Node #2: [95, 60, 15] from Operation: 97-82=15
Current State: 99:[95, 60, 15], Operations: ['97-82=15']
Exploring Operation: 60/15=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 60/15=4
Current State: 99:[95, 4], Operations: ['97-82=15', '60/15=4']
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
51,
58,
64,
70
] | 49 | [
"58+70=128",
"128/64=2",
"51-2=49"
] | Current State: 49:[51, 58, 64, 70], Operations: []
Exploring Operation: 58+70=128, Resulting Numbers: [51, 64, 128]
Generated Node #2: [51, 64, 128] from Operation: 58+70=128
Current State: 49:[51, 64, 128], Operations: ['58+70=128']
Exploring Operation: 128/64=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 128/64=2
Current State: 49:[51, 2], Operations: ['58+70=128', '128/64=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
92,
75,
14,
72
] | 26 | [
"92-14=78",
"75-72=3",
"78/3=26"
] | Current State: 26:[92, 75, 14, 72], Operations: []
Exploring Operation: 92-14=78, Resulting Numbers: [75, 72, 78]
Generated Node #2: [75, 72, 78] from Operation: 92-14=78
Current State: 26:[75, 72, 78], Operations: ['92-14=78']
Exploring Operation: 75-72=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 75-72=3
Current State: 26:[78, 3], Operations: ['92-14=78', '75-72=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
28,
76,
26,
6
] | 72 | [
"28+76=104",
"26+6=32",
"104-32=72"
] | Current State: 72:[28, 76, 26, 6], Operations: []
Exploring Operation: 28+76=104, Resulting Numbers: [26, 6, 104]
Generated Node #2: [26, 6, 104] from Operation: 28+76=104
Current State: 72:[26, 6, 104], Operations: ['28+76=104']
Exploring Operation: 26+6=32, Resulting Numbers: [104, 32]
Generated Node #3: [104, 32] from Operation: 26+6=32
Current State: 72:[104, 32], Operations: ['28+76=104', '26+6=32']
Exploring Operation: 104-32=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
88,
72,
4,
31
] | 19 | [
"88-72=16",
"4+31=35",
"35-16=19"
] | Current State: 19:[88, 72, 4, 31], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [4, 31, 16]
Generated Node #2: [4, 31, 16] from Operation: 88-72=16
Current State: 19:[4, 31, 16], Operations: ['88-72=16']
Exploring Operation: 4+31=35, Resulting Numbers: [16, 35]
Generated Node #3: [16, 35] from Operation: 4+31=35
Current State: 19:[16, 35], Operations: ['88-72=16', '4+31=35']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
48,
9,
57,
51
] | 63 | [
"48+9=57",
"57-51=6",
"57+6=63"
] | Current State: 63:[48, 9, 57, 51], Operations: []
Exploring Operation: 48+9=57, Resulting Numbers: [57, 51, 57]
Generated Node #2: [57, 51, 57] from Operation: 48+9=57
Current State: 63:[57, 51, 57], Operations: ['48+9=57']
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,63 equal: Goal Reached
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
12,
41,
40,
86
] | 17 | [
"41-12=29",
"86-40=46",
"46-29=17"
] | Current State: 17:[12, 41, 40, 86], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [40, 86, 29]
Generated Node #2: [40, 86, 29] from Operation: 41-12=29
Current State: 17:[40, 86, 29], Operations: ['41-12=29']
Exploring Operation: 86-40=46, Resulting Numbers: [29, 46]
Generated Node #3: [29, 46] from Operation: 86-40=46
Current State: 17:[29, 46], Operations: ['41-12=29', '86-40=46']
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
42,
18,
69,
71
] | 26 | [
"42-18=24",
"71-69=2",
"24+2=26"
] | Current State: 26:[42, 18, 69, 71], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [69, 71, 24]
Generated Node #2: [69, 71, 24] from Operation: 42-18=24
Current State: 26:[69, 71, 24], Operations: ['42-18=24']
Exploring Operation: 71-69=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 71-69=2
Current State: 26:[24, 2], Operations: ['42-18=24', '71-69=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
98,
92,
59,
86
] | 45 | [
"98+92=190",
"59+86=145",
"190-145=45"
] | Current State: 45:[98, 92, 59, 86], Operations: []
Exploring Operation: 98+92=190, Resulting Numbers: [59, 86, 190]
Generated Node #2: [59, 86, 190] from Operation: 98+92=190
Current State: 45:[59, 86, 190], Operations: ['98+92=190']
Exploring Operation: 59+86=145, Resulting Numbers: [190, 145]
Generated Node #3: [190, 145] from Operation: 59+86=145
Current State: 45:[190, 145], Operations: ['98+92=190', '59+86=145']
Exploring Operation: 190-145=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
90,
90,
50,
45
] | 50 | [
"90-90=0",
"45*0=0",
"50+0=50"
] | Current State: 50:[90, 90, 50, 45], Operations: []
Exploring Operation: 90-90=0, Resulting Numbers: [50, 45, 0]
Generated Node #2: [50, 45, 0] from Operation: 90-90=0
Current State: 50:[50, 45, 0], Operations: ['90-90=0']
Exploring Operation: 45*0=0, Resulting Numbers: [50, 0]
Generated Node #3: [50, 0] from Operation: 45*0=0
Current State: 50:[50, 0], Operations: ['90-90=0', '45*0=0']
Exploring Operation: 50+0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
19,
70,
49,
98
] | 87 | [
"19+70=89",
"98/49=2",
"89-2=87"
] | Current State: 87:[19, 70, 49, 98], Operations: []
Exploring Operation: 19+70=89, Resulting Numbers: [49, 98, 89]
Generated Node #2: [49, 98, 89] from Operation: 19+70=89
Current State: 87:[49, 98, 89], Operations: ['19+70=89']
Exploring Operation: 98/49=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 98/49=2
Current State: 87:[89, 2], Operations: ['19+70=89', '98/49=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
89,
63,
14,
47
] | 35 | [
"89-63=26",
"14+47=61",
"61-26=35"
] | Current State: 35:[89, 63, 14, 47], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [14, 47, 26]
Generated Node #2: [14, 47, 26] from Operation: 89-63=26
Current State: 35:[14, 47, 26], Operations: ['89-63=26']
Exploring Operation: 14+47=61, Resulting Numbers: [26, 61]
Generated Node #3: [26, 61] from Operation: 14+47=61
Current State: 35:[26, 61], Operations: ['89-63=26', '14+47=61']
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
57,
46,
76,
24
] | 51 | [
"57+46=103",
"76-24=52",
"103-52=51"
] | Current State: 51:[57, 46, 76, 24], Operations: []
Exploring Operation: 57+46=103, Resulting Numbers: [76, 24, 103]
Generated Node #2: [76, 24, 103] from Operation: 57+46=103
Current State: 51:[76, 24, 103], Operations: ['57+46=103']
Exploring Operation: 76-24=52, Resulting Numbers: [103, 52]
Generated Node #3: [103, 52] from Operation: 76-24=52
Current State: 51:[103, 52], Operations: ['57+46=103', '76-24=52']
Exploring Operation: 103-52=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
37,
3,
36,
19
] | 88 | [
"36-19=17",
"3*17=51",
"37+51=88"
] | Current State: 88:[37, 3, 36, 19], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [37, 3, 17]
Generated Node #2: [37, 3, 17] from Operation: 36-19=17
Current State: 88:[37, 3, 17], Operations: ['36-19=17']
Exploring Operation: 3*17=51, Resulting Numbers: [37, 51]
Generated Node #3: [37, 51] from Operation: 3*17=51
Current State: 88:[37, 51], Operations: ['36-19=17', '3*17=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
91,
25,
71
] | 15 | [
"91-71=20",
"2*20=40",
"40-25=15"
] | Current State: 15:[2, 91, 25, 71], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [2, 25, 20]
Generated Node #2: [2, 25, 20] from Operation: 91-71=20
Current State: 15:[2, 25, 20], Operations: ['91-71=20']
Exploring Operation: 2*20=40, Resulting Numbers: [25, 40]
Generated Node #3: [25, 40] from Operation: 2*20=40
Current State: 15:[25, 40], Operations: ['91-71=20', '2*20=40']
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
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