nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
70,
94,
92,
34
] | 72 | [
"70-34=36",
"94-92=2",
"36*2=72"
] | Current State: 72:[70, 94, 92, 34], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [94, 92, 36]
Generated Node #2: [94, 92, 36] from Operation: 70-34=36
Current State: 72:[94, 92, 36], Operations: ['70-34=36']
Exploring Operation: 94-92=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 94-92=2
Current State: 72:[36, 2], Operations: ['70-34=36', '94-92=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
42,
3,
41,
43
] | 37 | [
"42-3=39",
"43-41=2",
"39-2=37"
] | Current State: 37:[42, 3, 41, 43], Operations: []
Exploring Operation: 42-3=39, Resulting Numbers: [41, 43, 39]
Generated Node #2: [41, 43, 39] from Operation: 42-3=39
Current State: 37:[41, 43, 39], Operations: ['42-3=39']
Exploring Operation: 43-41=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 43-41=2
Current State: 37:[39, 2], Operations: ['42-3=39', '43-41=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
81,
20,
65,
25
] | 61 | [
"81+20=101",
"65-25=40",
"101-40=61"
] | Current State: 61:[81, 20, 65, 25], Operations: []
Exploring Operation: 81+20=101, Resulting Numbers: [65, 25, 101]
Generated Node #2: [65, 25, 101] from Operation: 81+20=101
Current State: 61:[65, 25, 101], Operations: ['81+20=101']
Exploring Operation: 65-25=40, Resulting Numbers: [101, 40]
Generated Node #3: [101, 40] from Operation: 65-25=40
Current State: 61:[101, 40], Operations: ['81+20=101', '65-25=40']
Exploring Operation: 101-40=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
44,
2,
75,
51
] | 32 | [
"75-51=24",
"24/2=12",
"44-12=32"
] | Current State: 32:[44, 2, 75, 51], Operations: []
Exploring Operation: 75-51=24, Resulting Numbers: [44, 2, 24]
Generated Node #2: [44, 2, 24] from Operation: 75-51=24
Current State: 32:[44, 2, 24], Operations: ['75-51=24']
Exploring Operation: 24/2=12, Resulting Numbers: [44, 12]
Generated Node #3: [44, 12] from Operation: 24/2=12
Current State: 32:[44, 12], Operations: ['75-51=24', '24/2=12']
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
65,
93,
4,
3
] | 41 | [
"93+3=96",
"96/4=24",
"65-24=41"
] | Current State: 41:[65, 93, 4, 3], Operations: []
Exploring Operation: 93+3=96, Resulting Numbers: [65, 4, 96]
Generated Node #2: [65, 4, 96] from Operation: 93+3=96
Current State: 41:[65, 4, 96], Operations: ['93+3=96']
Exploring Operation: 96/4=24, Resulting Numbers: [65, 24]
Generated Node #3: [65, 24] from Operation: 96/4=24
Current State: 41:[65, 24], Operations: ['93+3=96', '96/4=24']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
1,
52,
43,
46
] | 48 | [
"52-1=51",
"46-43=3",
"51-3=48"
] | Current State: 48:[1, 52, 43, 46], Operations: []
Exploring Operation: 52-1=51, Resulting Numbers: [43, 46, 51]
Generated Node #2: [43, 46, 51] from Operation: 52-1=51
Current State: 48:[43, 46, 51], Operations: ['52-1=51']
Exploring Operation: 46-43=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 46-43=3
Current State: 48:[51, 3], Operations: ['52-1=51', '46-43=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
72,
74,
18,
33
] | 69 | [
"74-72=2",
"18*2=36",
"33+36=69"
] | Current State: 69:[72, 74, 18, 33], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [18, 33, 2]
Generated Node #2: [18, 33, 2] from Operation: 74-72=2
Current State: 69:[18, 33, 2], Operations: ['74-72=2']
Exploring Operation: 18*2=36, Resulting Numbers: [33, 36]
Generated Node #3: [33, 36] from Operation: 18*2=36
Current State: 69:[33, 36], Operations: ['74-72=2', '18*2=36']
Exploring Operation: 33+36=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
83,
13,
16,
2
] | 27 | [
"83-13=70",
"70-16=54",
"54/2=27"
] | Current State: 27:[83, 13, 16, 2], Operations: []
Exploring Operation: 83-13=70, Resulting Numbers: [16, 2, 70]
Generated Node #2: [16, 2, 70] from Operation: 83-13=70
Current State: 27:[16, 2, 70], Operations: ['83-13=70']
Exploring Operation: 70-16=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 70-16=54
Current State: 27:[2, 54], Operations: ['83-13=70', '70-16=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
97,
33,
74,
70
] | 16 | [
"97-33=64",
"74-70=4",
"64/4=16"
] | Current State: 16:[97, 33, 74, 70], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [74, 70, 64]
Generated Node #2: [74, 70, 64] from Operation: 97-33=64
Current State: 16:[74, 70, 64], Operations: ['97-33=64']
Exploring Operation: 74-70=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 74-70=4
Current State: 16:[64, 4], Operations: ['97-33=64', '74-70=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
50,
52,
89,
20
] | 67 | [
"52-50=2",
"89-20=69",
"69-2=67"
] | Current State: 67:[50, 52, 89, 20], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [89, 20, 2]
Generated Node #2: [89, 20, 2] from Operation: 52-50=2
Current State: 67:[89, 20, 2], Operations: ['52-50=2']
Exploring Operation: 89-20=69, Resulting Numbers: [2, 69]
Generated Node #3: [2, 69] from Operation: 89-20=69
Current State: 67:[2, 69], Operations: ['52-50=2', '89-20=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
32,
57,
47,
65
] | 20 | [
"32*65=2080",
"57+47=104",
"2080/104=20"
] | Current State: 20:[32, 57, 47, 65], Operations: []
Exploring Operation: 32*65=2080, Resulting Numbers: [57, 47, 2080]
Generated Node #2: [57, 47, 2080] from Operation: 32*65=2080
Current State: 20:[57, 47, 2080], Operations: ['32*65=2080']
Exploring Operation: 57+47=104, Resulting Numbers: [2080, 104]
Generated Node #3: [2080, 104] from Operation: 57+47=104
Current State: 20:[2080, 104], Operations: ['32*65=2080', '57+47=104']
Exploring Operation: 2080/104=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
97,
92,
13,
7
] | 80 | [
"97-13=84",
"84/7=12",
"92-12=80"
] | Current State: 80:[97, 92, 13, 7], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [92, 7, 84]
Generated Node #2: [92, 7, 84] from Operation: 97-13=84
Current State: 80:[92, 7, 84], Operations: ['97-13=84']
Exploring Operation: 84/7=12, Resulting Numbers: [92, 12]
Generated Node #3: [92, 12] from Operation: 84/7=12
Current State: 80:[92, 12], Operations: ['97-13=84', '84/7=12']
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
46,
17,
98,
10
] | 60 | [
"17-10=7",
"98/7=14",
"46+14=60"
] | Current State: 60:[46, 17, 98, 10], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [46, 98, 7]
Generated Node #2: [46, 98, 7] from Operation: 17-10=7
Current State: 60:[46, 98, 7], Operations: ['17-10=7']
Exploring Operation: 98/7=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 98/7=14
Current State: 60:[46, 14], Operations: ['17-10=7', '98/7=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
44,
22,
82,
75
] | 29 | [
"44-22=22",
"82-75=7",
"22+7=29"
] | Current State: 29:[44, 22, 82, 75], Operations: []
Exploring Operation: 44-22=22, Resulting Numbers: [82, 75, 22]
Generated Node #2: [82, 75, 22] from Operation: 44-22=22
Current State: 29:[82, 75, 22], Operations: ['44-22=22']
Exploring Operation: 82-75=7, Resulting Numbers: [22, 7]
Generated Node #3: [22, 7] from Operation: 82-75=7
Current State: 29:[22, 7], Operations: ['44-22=22', '82-75=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
79,
37,
84,
7
] | 96 | [
"79+84=163",
"37*7=259",
"259-163=96"
] | Current State: 96:[79, 37, 84, 7], Operations: []
Exploring Operation: 79+84=163, Resulting Numbers: [37, 7, 163]
Generated Node #2: [37, 7, 163] from Operation: 79+84=163
Current State: 96:[37, 7, 163], Operations: ['79+84=163']
Exploring Operation: 37*7=259, Resulting Numbers: [163, 259]
Generated Node #3: [163, 259] from Operation: 37*7=259
Current State: 96:[163, 259], Operations: ['79+84=163', '37*7=259']
Exploring Operation: 259-163=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
84,
13,
27,
69
] | 29 | [
"84-13=71",
"69-27=42",
"71-42=29"
] | Current State: 29:[84, 13, 27, 69], Operations: []
Exploring Operation: 84-13=71, Resulting Numbers: [27, 69, 71]
Generated Node #2: [27, 69, 71] from Operation: 84-13=71
Current State: 29:[27, 69, 71], Operations: ['84-13=71']
Exploring Operation: 69-27=42, Resulting Numbers: [71, 42]
Generated Node #3: [71, 42] from Operation: 69-27=42
Current State: 29:[71, 42], Operations: ['84-13=71', '69-27=42']
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
8,
27,
8,
72
] | 19 | [
"8*8=64",
"72-27=45",
"64-45=19"
] | Current State: 19:[8, 27, 8, 72], Operations: []
Exploring Operation: 8*8=64, Resulting Numbers: [27, 72, 64]
Generated Node #2: [27, 72, 64] from Operation: 8*8=64
Current State: 19:[27, 72, 64], Operations: ['8*8=64']
Exploring Operation: 72-27=45, Resulting Numbers: [64, 45]
Generated Node #3: [64, 45] from Operation: 72-27=45
Current State: 19:[64, 45], Operations: ['8*8=64', '72-27=45']
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
96,
80,
44,
11
] | 39 | [
"96-80=16",
"44+11=55",
"55-16=39"
] | Current State: 39:[96, 80, 44, 11], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [44, 11, 16]
Generated Node #2: [44, 11, 16] from Operation: 96-80=16
Current State: 39:[44, 11, 16], Operations: ['96-80=16']
Exploring Operation: 44+11=55, Resulting Numbers: [16, 55]
Generated Node #3: [16, 55] from Operation: 44+11=55
Current State: 39:[16, 55], Operations: ['96-80=16', '44+11=55']
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
91,
75,
5,
67
] | 13 | [
"91-75=16",
"5*16=80",
"80-67=13"
] | Current State: 13:[91, 75, 5, 67], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [5, 67, 16]
Generated Node #2: [5, 67, 16] from Operation: 91-75=16
Current State: 13:[5, 67, 16], Operations: ['91-75=16']
Exploring Operation: 5*16=80, Resulting Numbers: [67, 80]
Generated Node #3: [67, 80] from Operation: 5*16=80
Current State: 13:[67, 80], Operations: ['91-75=16', '5*16=80']
Exploring Operation: 80-67=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
35,
60,
70,
70
] | 12 | [
"70/35=2",
"70-60=10",
"2+10=12"
] | Current State: 12:[35, 60, 70, 70], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [60, 2]
Generated Node #2: [60, 2] from Operation: 70/35=2
Current State: 12:[60, 2], Operations: ['70/35=2']
Exploring Operation: 70-60=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 70-60=10
Current State: 12:[2, 10], Operations: ['70/35=2', '70-60=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
13,
91,
7,
8
] | 57 | [
"91/13=7",
"7*7=49",
"8+49=57"
] | Current State: 57:[13, 91, 7, 8], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [7, 8, 7]
Generated Node #2: [7, 8, 7] from Operation: 91/13=7
Current State: 57:[7, 8, 7], Operations: ['91/13=7']
Exploring Operation: 7*7=49, Resulting Numbers: [8, 49]
Generated Node #3: [8, 49] from Operation: 7*7=49
Current State: 57:[8, 49], Operations: ['91/13=7', '7*7=49']
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
59,
95,
5,
67
] | 27 | [
"67-59=8",
"95/5=19",
"8+19=27"
] | Current State: 27:[59, 95, 5, 67], Operations: []
Exploring Operation: 67-59=8, Resulting Numbers: [95, 5, 8]
Generated Node #2: [95, 5, 8] from Operation: 67-59=8
Current State: 27:[95, 5, 8], Operations: ['67-59=8']
Exploring Operation: 95/5=19, Resulting Numbers: [8, 19]
Generated Node #3: [8, 19] from Operation: 95/5=19
Current State: 27:[8, 19], Operations: ['67-59=8', '95/5=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
60,
91,
45,
50
] | 26 | [
"91-60=31",
"50-45=5",
"31-5=26"
] | Current State: 26:[60, 91, 45, 50], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [45, 50, 31]
Generated Node #2: [45, 50, 31] from Operation: 91-60=31
Current State: 26:[45, 50, 31], Operations: ['91-60=31']
Exploring Operation: 50-45=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 50-45=5
Current State: 26:[31, 5], Operations: ['91-60=31', '50-45=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
31,
47,
83,
81
] | 32 | [
"47-31=16",
"83-81=2",
"16*2=32"
] | Current State: 32:[31, 47, 83, 81], Operations: []
Exploring Operation: 47-31=16, Resulting Numbers: [83, 81, 16]
Generated Node #2: [83, 81, 16] from Operation: 47-31=16
Current State: 32:[83, 81, 16], Operations: ['47-31=16']
Exploring Operation: 83-81=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 83-81=2
Current State: 32:[16, 2], Operations: ['47-31=16', '83-81=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
63,
45,
62,
88
] | 82 | [
"63+45=108",
"88-62=26",
"108-26=82"
] | Current State: 82:[63, 45, 62, 88], Operations: []
Exploring Operation: 63+45=108, Resulting Numbers: [62, 88, 108]
Generated Node #2: [62, 88, 108] from Operation: 63+45=108
Current State: 82:[62, 88, 108], Operations: ['63+45=108']
Exploring Operation: 88-62=26, Resulting Numbers: [108, 26]
Generated Node #3: [108, 26] from Operation: 88-62=26
Current State: 82:[108, 26], Operations: ['63+45=108', '88-62=26']
Exploring Operation: 108-26=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
64,
23,
63,
6
] | 67 | [
"63+6=69",
"69/23=3",
"64+3=67"
] | Current State: 67:[64, 23, 63, 6], Operations: []
Exploring Operation: 63+6=69, Resulting Numbers: [64, 23, 69]
Generated Node #2: [64, 23, 69] from Operation: 63+6=69
Current State: 67:[64, 23, 69], Operations: ['63+6=69']
Exploring Operation: 69/23=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 69/23=3
Current State: 67:[64, 3], Operations: ['63+6=69', '69/23=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
9,
8,
78,
17
] | 44 | [
"9+8=17",
"78-17=61",
"61-17=44"
] | Current State: 44:[9, 8, 78, 17], Operations: []
Exploring Operation: 9+8=17, Resulting Numbers: [78, 17, 17]
Generated Node #2: [78, 17, 17] from Operation: 9+8=17
Current State: 44:[78, 17, 17], Operations: ['9+8=17']
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,44 equal: Goal Reached
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
73,
71,
62,
40
] | 100 | [
"73-71=2",
"62+40=102",
"102-2=100"
] | Current State: 100:[73, 71, 62, 40], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [62, 40, 2]
Generated Node #2: [62, 40, 2] from Operation: 73-71=2
Current State: 100:[62, 40, 2], Operations: ['73-71=2']
Exploring Operation: 62+40=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 62+40=102
Current State: 100:[2, 102], Operations: ['73-71=2', '62+40=102']
Exploring Operation: 102-2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
10,
74,
74
] | 16 | [
"74-74=0",
"10*0=0",
"16+0=16"
] | Current State: 16:[16, 10, 74, 74], Operations: []
Exploring Operation: 74-74=0, Resulting Numbers: [16, 10, 0]
Generated Node #2: [16, 10, 0] from Operation: 74-74=0
Current State: 16:[16, 10, 0], Operations: ['74-74=0']
Exploring Operation: 10*0=0, Resulting Numbers: [16, 0]
Generated Node #3: [16, 0] from Operation: 10*0=0
Current State: 16:[16, 0], Operations: ['74-74=0', '10*0=0']
Exploring Operation: 16+0=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
26,
33,
17,
52
] | 62 | [
"33-26=7",
"17+52=69",
"69-7=62"
] | Current State: 62:[26, 33, 17, 52], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [17, 52, 7]
Generated Node #2: [17, 52, 7] from Operation: 33-26=7
Current State: 62:[17, 52, 7], Operations: ['33-26=7']
Exploring Operation: 17+52=69, Resulting Numbers: [7, 69]
Generated Node #3: [7, 69] from Operation: 17+52=69
Current State: 62:[7, 69], Operations: ['33-26=7', '17+52=69']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
97,
57,
43,
30
] | 33 | [
"97-57=40",
"43+30=73",
"73-40=33"
] | Current State: 33:[97, 57, 43, 30], Operations: []
Exploring Operation: 97-57=40, Resulting Numbers: [43, 30, 40]
Generated Node #2: [43, 30, 40] from Operation: 97-57=40
Current State: 33:[43, 30, 40], Operations: ['97-57=40']
Exploring Operation: 43+30=73, Resulting Numbers: [40, 73]
Generated Node #3: [40, 73] from Operation: 43+30=73
Current State: 33:[40, 73], Operations: ['97-57=40', '43+30=73']
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
91,
58,
31,
50
] | 25 | [
"91-58=33",
"33-31=2",
"50/2=25"
] | Current State: 25:[91, 58, 31, 50], Operations: []
Exploring Operation: 91-58=33, Resulting Numbers: [31, 50, 33]
Generated Node #2: [31, 50, 33] from Operation: 91-58=33
Current State: 25:[31, 50, 33], Operations: ['91-58=33']
Exploring Operation: 33-31=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 33-31=2
Current State: 25:[50, 2], Operations: ['91-58=33', '33-31=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
33,
3,
95,
81
] | 16 | [
"33-3=30",
"95-81=14",
"30-14=16"
] | Current State: 16:[33, 3, 95, 81], Operations: []
Exploring Operation: 33-3=30, Resulting Numbers: [95, 81, 30]
Generated Node #2: [95, 81, 30] from Operation: 33-3=30
Current State: 16:[95, 81, 30], Operations: ['33-3=30']
Exploring Operation: 95-81=14, Resulting Numbers: [30, 14]
Generated Node #3: [30, 14] from Operation: 95-81=14
Current State: 16:[30, 14], Operations: ['33-3=30', '95-81=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
21,
23,
16,
27
] | 26 | [
"21+27=48",
"48/16=3",
"23+3=26"
] | Current State: 26:[21, 23, 16, 27], Operations: []
Exploring Operation: 21+27=48, Resulting Numbers: [23, 16, 48]
Generated Node #2: [23, 16, 48] from Operation: 21+27=48
Current State: 26:[23, 16, 48], Operations: ['21+27=48']
Exploring Operation: 48/16=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 48/16=3
Current State: 26:[23, 3], Operations: ['21+27=48', '48/16=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
72,
14,
3,
5
] | 88 | [
"72+14=86",
"5-3=2",
"86+2=88"
] | Current State: 88:[72, 14, 3, 5], Operations: []
Exploring Operation: 72+14=86, Resulting Numbers: [3, 5, 86]
Generated Node #2: [3, 5, 86] from Operation: 72+14=86
Current State: 88:[3, 5, 86], Operations: ['72+14=86']
Exploring Operation: 5-3=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 5-3=2
Current State: 88:[86, 2], Operations: ['72+14=86', '5-3=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
49,
53,
34
] | 100 | [
"34-9=25",
"53-49=4",
"25*4=100"
] | Current State: 100:[9, 49, 53, 34], Operations: []
Exploring Operation: 34-9=25, Resulting Numbers: [49, 53, 25]
Generated Node #2: [49, 53, 25] from Operation: 34-9=25
Current State: 100:[49, 53, 25], Operations: ['34-9=25']
Exploring Operation: 53-49=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 53-49=4
Current State: 100:[25, 4], Operations: ['34-9=25', '53-49=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
40,
28,
88,
38
] | 62 | [
"40-28=12",
"88-38=50",
"12+50=62"
] | Current State: 62:[40, 28, 88, 38], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [88, 38, 12]
Generated Node #2: [88, 38, 12] from Operation: 40-28=12
Current State: 62:[88, 38, 12], Operations: ['40-28=12']
Exploring Operation: 88-38=50, Resulting Numbers: [12, 50]
Generated Node #3: [12, 50] from Operation: 88-38=50
Current State: 62:[12, 50], Operations: ['40-28=12', '88-38=50']
Exploring Operation: 12+50=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
45,
65,
77,
33
] | 64 | [
"65-45=20",
"77-33=44",
"20+44=64"
] | Current State: 64:[45, 65, 77, 33], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [77, 33, 20]
Generated Node #2: [77, 33, 20] from Operation: 65-45=20
Current State: 64:[77, 33, 20], Operations: ['65-45=20']
Exploring Operation: 77-33=44, Resulting Numbers: [20, 44]
Generated Node #3: [20, 44] from Operation: 77-33=44
Current State: 64:[20, 44], Operations: ['65-45=20', '77-33=44']
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
40,
9,
91,
5
] | 28 | [
"40+9=49",
"91+49=140",
"140/5=28"
] | Current State: 28:[40, 9, 91, 5], Operations: []
Exploring Operation: 40+9=49, Resulting Numbers: [91, 5, 49]
Generated Node #2: [91, 5, 49] from Operation: 40+9=49
Current State: 28:[91, 5, 49], Operations: ['40+9=49']
Exploring Operation: 91+49=140, Resulting Numbers: [5, 140]
Generated Node #3: [5, 140] from Operation: 91+49=140
Current State: 28:[5, 140], Operations: ['40+9=49', '91+49=140']
Exploring Operation: 140/5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
77,
24,
30,
62
] | 90 | [
"77-62=15",
"30-24=6",
"15*6=90"
] | Current State: 90:[77, 24, 30, 62], Operations: []
Exploring Operation: 77-62=15, Resulting Numbers: [24, 30, 15]
Generated Node #2: [24, 30, 15] from Operation: 77-62=15
Current State: 90:[24, 30, 15], Operations: ['77-62=15']
Exploring Operation: 30-24=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 30-24=6
Current State: 90:[15, 6], Operations: ['77-62=15', '30-24=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
86,
27,
10,
70
] | 12 | [
"70-27=43",
"86/43=2",
"10+2=12"
] | Current State: 12:[86, 27, 10, 70], Operations: []
Exploring Operation: 70-27=43, Resulting Numbers: [86, 10, 43]
Generated Node #2: [86, 10, 43] from Operation: 70-27=43
Current State: 12:[86, 10, 43], Operations: ['70-27=43']
Exploring Operation: 86/43=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 86/43=2
Current State: 12:[10, 2], Operations: ['70-27=43', '86/43=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
81,
25,
13,
14
] | 76 | [
"81+25=106",
"13*14=182",
"182-106=76"
] | Current State: 76:[81, 25, 13, 14], Operations: []
Exploring Operation: 81+25=106, Resulting Numbers: [13, 14, 106]
Generated Node #2: [13, 14, 106] from Operation: 81+25=106
Current State: 76:[13, 14, 106], Operations: ['81+25=106']
Exploring Operation: 13*14=182, Resulting Numbers: [106, 182]
Generated Node #3: [106, 182] from Operation: 13*14=182
Current State: 76:[106, 182], Operations: ['81+25=106', '13*14=182']
Exploring Operation: 182-106=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
6,
28,
55,
96
] | 67 | [
"96/6=16",
"28+55=83",
"83-16=67"
] | Current State: 67:[6, 28, 55, 96], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [28, 55, 16]
Generated Node #2: [28, 55, 16] from Operation: 96/6=16
Current State: 67:[28, 55, 16], Operations: ['96/6=16']
Exploring Operation: 28+55=83, Resulting Numbers: [16, 83]
Generated Node #3: [16, 83] from Operation: 28+55=83
Current State: 67:[16, 83], Operations: ['96/6=16', '28+55=83']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
49,
70,
70,
15
] | 85 | [
"70*70=4900",
"4900/49=100",
"100-15=85"
] | Current State: 85:[49, 70, 70, 15], Operations: []
Exploring Operation: 70*70=4900, Resulting Numbers: [49, 15, 4900]
Generated Node #2: [49, 15, 4900] from Operation: 70*70=4900
Current State: 85:[49, 15, 4900], Operations: ['70*70=4900']
Exploring Operation: 4900/49=100, Resulting Numbers: [15, 100]
Generated Node #3: [15, 100] from Operation: 4900/49=100
Current State: 85:[15, 100], Operations: ['70*70=4900', '4900/49=100']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
35,
90,
86
] | 28 | [
"35-28=7",
"90-86=4",
"7*4=28"
] | Current State: 28:[28, 35, 90, 86], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [90, 86, 7]
Generated Node #2: [90, 86, 7] from Operation: 35-28=7
Current State: 28:[90, 86, 7], Operations: ['35-28=7']
Exploring Operation: 90-86=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 90-86=4
Current State: 28:[7, 4], Operations: ['35-28=7', '90-86=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
5,
54,
55,
38
] | 81 | [
"55/5=11",
"54+38=92",
"92-11=81"
] | Current State: 81:[5, 54, 55, 38], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [54, 38, 11]
Generated Node #2: [54, 38, 11] from Operation: 55/5=11
Current State: 81:[54, 38, 11], Operations: ['55/5=11']
Exploring Operation: 54+38=92, Resulting Numbers: [11, 92]
Generated Node #3: [11, 92] from Operation: 54+38=92
Current State: 81:[11, 92], Operations: ['55/5=11', '54+38=92']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
18,
52,
3,
42
] | 50 | [
"18+3=21",
"42/21=2",
"52-2=50"
] | Current State: 50:[18, 52, 3, 42], Operations: []
Exploring Operation: 18+3=21, Resulting Numbers: [52, 42, 21]
Generated Node #2: [52, 42, 21] from Operation: 18+3=21
Current State: 50:[52, 42, 21], Operations: ['18+3=21']
Exploring Operation: 42/21=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 42/21=2
Current State: 50:[52, 2], Operations: ['18+3=21', '42/21=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
38,
78,
35,
86
] | 60 | [
"38-35=3",
"78/3=26",
"86-26=60"
] | Current State: 60:[38, 78, 35, 86], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [78, 86, 3]
Generated Node #2: [78, 86, 3] from Operation: 38-35=3
Current State: 60:[78, 86, 3], Operations: ['38-35=3']
Exploring Operation: 78/3=26, Resulting Numbers: [86, 26]
Generated Node #3: [86, 26] from Operation: 78/3=26
Current State: 60:[86, 26], Operations: ['38-35=3', '78/3=26']
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
87,
83,
83,
84
] | 87 | [
"83-83=0",
"84*0=0",
"87+0=87"
] | Current State: 87:[87, 83, 83, 84], Operations: []
Exploring Operation: 83-83=0, Resulting Numbers: [87, 84, 0]
Generated Node #2: [87, 84, 0] from Operation: 83-83=0
Current State: 87:[87, 84, 0], Operations: ['83-83=0']
Exploring Operation: 84*0=0, Resulting Numbers: [87, 0]
Generated Node #3: [87, 0] from Operation: 84*0=0
Current State: 87:[87, 0], Operations: ['83-83=0', '84*0=0']
Exploring Operation: 87+0=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
47,
6,
16,
49
] | 98 | [
"49-47=2",
"6*16=96",
"2+96=98"
] | Current State: 98:[47, 6, 16, 49], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [6, 16, 2]
Generated Node #2: [6, 16, 2] from Operation: 49-47=2
Current State: 98:[6, 16, 2], Operations: ['49-47=2']
Exploring Operation: 6*16=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 6*16=96
Current State: 98:[2, 96], Operations: ['49-47=2', '6*16=96']
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
7,
78,
63,
14
] | 82 | [
"63-7=56",
"56/14=4",
"78+4=82"
] | Current State: 82:[7, 78, 63, 14], Operations: []
Exploring Operation: 63-7=56, Resulting Numbers: [78, 14, 56]
Generated Node #2: [78, 14, 56] from Operation: 63-7=56
Current State: 82:[78, 14, 56], Operations: ['63-7=56']
Exploring Operation: 56/14=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 56/14=4
Current State: 82:[78, 4], Operations: ['63-7=56', '56/14=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
7,
30,
7,
11
] | 20 | [
"7/7=1",
"30-11=19",
"1+19=20"
] | Current State: 20:[7, 30, 7, 11], Operations: []
Exploring Operation: 7/7=1, Resulting Numbers: [30, 11, 1]
Generated Node #2: [30, 11, 1] from Operation: 7/7=1
Current State: 20:[30, 11, 1], Operations: ['7/7=1']
Exploring Operation: 30-11=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 30-11=19
Current State: 20:[1, 19], Operations: ['7/7=1', '30-11=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
86,
31,
75,
39
] | 72 | [
"86+31=117",
"117/39=3",
"75-3=72"
] | Current State: 72:[86, 31, 75, 39], Operations: []
Exploring Operation: 86+31=117, Resulting Numbers: [75, 39, 117]
Generated Node #2: [75, 39, 117] from Operation: 86+31=117
Current State: 72:[75, 39, 117], Operations: ['86+31=117']
Exploring Operation: 117/39=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 117/39=3
Current State: 72:[75, 3], Operations: ['86+31=117', '117/39=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
20,
27,
12,
28
] | 47 | [
"27-20=7",
"12+28=40",
"7+40=47"
] | Current State: 47:[20, 27, 12, 28], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [12, 28, 7]
Generated Node #2: [12, 28, 7] from Operation: 27-20=7
Current State: 47:[12, 28, 7], Operations: ['27-20=7']
Exploring Operation: 12+28=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 12+28=40
Current State: 47:[7, 40], Operations: ['27-20=7', '12+28=40']
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
11,
40,
33,
26
] | 88 | [
"40-11=29",
"33+26=59",
"29+59=88"
] | Current State: 88:[11, 40, 33, 26], Operations: []
Exploring Operation: 40-11=29, Resulting Numbers: [33, 26, 29]
Generated Node #2: [33, 26, 29] from Operation: 40-11=29
Current State: 88:[33, 26, 29], Operations: ['40-11=29']
Exploring Operation: 33+26=59, Resulting Numbers: [29, 59]
Generated Node #3: [29, 59] from Operation: 33+26=59
Current State: 88:[29, 59], Operations: ['40-11=29', '33+26=59']
Exploring Operation: 29+59=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
44,
4,
6,
59
] | 10 | [
"59-44=15",
"4*15=60",
"60/6=10"
] | Current State: 10:[44, 4, 6, 59], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [4, 6, 15]
Generated Node #2: [4, 6, 15] from Operation: 59-44=15
Current State: 10:[4, 6, 15], Operations: ['59-44=15']
Exploring Operation: 4*15=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 4*15=60
Current State: 10:[6, 60], Operations: ['59-44=15', '4*15=60']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
26,
45,
95,
10
] | 12 | [
"45+95=140",
"140/10=14",
"26-14=12"
] | Current State: 12:[26, 45, 95, 10], Operations: []
Exploring Operation: 45+95=140, Resulting Numbers: [26, 10, 140]
Generated Node #2: [26, 10, 140] from Operation: 45+95=140
Current State: 12:[26, 10, 140], Operations: ['45+95=140']
Exploring Operation: 140/10=14, Resulting Numbers: [26, 14]
Generated Node #3: [26, 14] from Operation: 140/10=14
Current State: 12:[26, 14], Operations: ['45+95=140', '140/10=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
25,
8,
54,
50
] | 38 | [
"50/25=2",
"8*2=16",
"54-16=38"
] | Current State: 38:[25, 8, 54, 50], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [8, 54, 2]
Generated Node #2: [8, 54, 2] from Operation: 50/25=2
Current State: 38:[8, 54, 2], Operations: ['50/25=2']
Exploring Operation: 8*2=16, Resulting Numbers: [54, 16]
Generated Node #3: [54, 16] from Operation: 8*2=16
Current State: 38:[54, 16], Operations: ['50/25=2', '8*2=16']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
1,
2,
4,
14
] | 20 | [
"1*2=2",
"4+14=18",
"2+18=20"
] | Current State: 20:[1, 2, 4, 14], Operations: []
Exploring Operation: 1*2=2, Resulting Numbers: [4, 14, 2]
Generated Node #2: [4, 14, 2] from Operation: 1*2=2
Current State: 20:[4, 14, 2], Operations: ['1*2=2']
Exploring Operation: 4+14=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 4+14=18
Current State: 20:[2, 18], Operations: ['1*2=2', '4+14=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
66,
27,
80,
2
] | 43 | [
"66-27=39",
"80+2=82",
"82-39=43"
] | Current State: 43:[66, 27, 80, 2], Operations: []
Exploring Operation: 66-27=39, Resulting Numbers: [80, 2, 39]
Generated Node #2: [80, 2, 39] from Operation: 66-27=39
Current State: 43:[80, 2, 39], Operations: ['66-27=39']
Exploring Operation: 80+2=82, Resulting Numbers: [39, 82]
Generated Node #3: [39, 82] from Operation: 80+2=82
Current State: 43:[39, 82], Operations: ['66-27=39', '80+2=82']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
20,
77,
22,
78
] | 76 | [
"22-20=2",
"77*2=154",
"154-78=76"
] | Current State: 76:[20, 77, 22, 78], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [77, 78, 2]
Generated Node #2: [77, 78, 2] from Operation: 22-20=2
Current State: 76:[77, 78, 2], Operations: ['22-20=2']
Exploring Operation: 77*2=154, Resulting Numbers: [78, 154]
Generated Node #3: [78, 154] from Operation: 77*2=154
Current State: 76:[78, 154], Operations: ['22-20=2', '77*2=154']
Exploring Operation: 154-78=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
74,
15,
13,
92
] | 39 | [
"74+15=89",
"92-89=3",
"13*3=39"
] | Current State: 39:[74, 15, 13, 92], Operations: []
Exploring Operation: 74+15=89, Resulting Numbers: [13, 92, 89]
Generated Node #2: [13, 92, 89] from Operation: 74+15=89
Current State: 39:[13, 92, 89], Operations: ['74+15=89']
Exploring Operation: 92-89=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 92-89=3
Current State: 39:[13, 3], Operations: ['74+15=89', '92-89=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
22,
66,
93,
81
] | 66 | [
"66/22=3",
"81/3=27",
"93-27=66"
] | Current State: 66:[22, 66, 93, 81], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [93, 81, 3]
Generated Node #2: [93, 81, 3] from Operation: 66/22=3
Current State: 66:[93, 81, 3], Operations: ['66/22=3']
Exploring Operation: 81/3=27, Resulting Numbers: [93, 27]
Generated Node #3: [93, 27] from Operation: 81/3=27
Current State: 66:[93, 27], Operations: ['66/22=3', '81/3=27']
Exploring Operation: 93-27=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
70,
22,
30,
69
] | 87 | [
"70-22=48",
"69-30=39",
"48+39=87"
] | Current State: 87:[70, 22, 30, 69], Operations: []
Exploring Operation: 70-22=48, Resulting Numbers: [30, 69, 48]
Generated Node #2: [30, 69, 48] from Operation: 70-22=48
Current State: 87:[30, 69, 48], Operations: ['70-22=48']
Exploring Operation: 69-30=39, Resulting Numbers: [48, 39]
Generated Node #3: [48, 39] from Operation: 69-30=39
Current State: 87:[48, 39], Operations: ['70-22=48', '69-30=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
45,
5,
40,
75
] | 85 | [
"45+5=50",
"75-40=35",
"50+35=85"
] | Current State: 85:[45, 5, 40, 75], Operations: []
Exploring Operation: 45+5=50, Resulting Numbers: [40, 75, 50]
Generated Node #2: [40, 75, 50] from Operation: 45+5=50
Current State: 85:[40, 75, 50], Operations: ['45+5=50']
Exploring Operation: 75-40=35, Resulting Numbers: [50, 35]
Generated Node #3: [50, 35] from Operation: 75-40=35
Current State: 85:[50, 35], Operations: ['45+5=50', '75-40=35']
Exploring Operation: 50+35=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
76,
88,
44,
57
] | 25 | [
"88-76=12",
"57-44=13",
"12+13=25"
] | Current State: 25:[76, 88, 44, 57], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [44, 57, 12]
Generated Node #2: [44, 57, 12] from Operation: 88-76=12
Current State: 25:[44, 57, 12], Operations: ['88-76=12']
Exploring Operation: 57-44=13, Resulting Numbers: [12, 13]
Generated Node #3: [12, 13] from Operation: 57-44=13
Current State: 25:[12, 13], Operations: ['88-76=12', '57-44=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
7,
55,
30,
76
] | 27 | [
"76-55=21",
"21/7=3",
"30-3=27"
] | Current State: 27:[7, 55, 30, 76], Operations: []
Exploring Operation: 76-55=21, Resulting Numbers: [7, 30, 21]
Generated Node #2: [7, 30, 21] from Operation: 76-55=21
Current State: 27:[7, 30, 21], Operations: ['76-55=21']
Exploring Operation: 21/7=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 21/7=3
Current State: 27:[30, 3], Operations: ['76-55=21', '21/7=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
25,
82,
4,
75
] | 93 | [
"25*4=100",
"82-75=7",
"100-7=93"
] | Current State: 93:[25, 82, 4, 75], Operations: []
Exploring Operation: 25*4=100, Resulting Numbers: [82, 75, 100]
Generated Node #2: [82, 75, 100] from Operation: 25*4=100
Current State: 93:[82, 75, 100], Operations: ['25*4=100']
Exploring Operation: 82-75=7, Resulting Numbers: [100, 7]
Generated Node #3: [100, 7] from Operation: 82-75=7
Current State: 93:[100, 7], Operations: ['25*4=100', '82-75=7']
Exploring Operation: 100-7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
9,
84,
21,
49
] | 36 | [
"49-9=40",
"84/21=4",
"40-4=36"
] | Current State: 36:[9, 84, 21, 49], Operations: []
Exploring Operation: 49-9=40, Resulting Numbers: [84, 21, 40]
Generated Node #2: [84, 21, 40] from Operation: 49-9=40
Current State: 36:[84, 21, 40], Operations: ['49-9=40']
Exploring Operation: 84/21=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 84/21=4
Current State: 36:[40, 4], Operations: ['49-9=40', '84/21=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
9,
85,
98,
43
] | 47 | [
"9+85=94",
"98+43=141",
"141-94=47"
] | Current State: 47:[9, 85, 98, 43], Operations: []
Exploring Operation: 9+85=94, Resulting Numbers: [98, 43, 94]
Generated Node #2: [98, 43, 94] from Operation: 9+85=94
Current State: 47:[98, 43, 94], Operations: ['9+85=94']
Exploring Operation: 98+43=141, Resulting Numbers: [94, 141]
Generated Node #3: [94, 141] from Operation: 98+43=141
Current State: 47:[94, 141], Operations: ['9+85=94', '98+43=141']
Exploring Operation: 141-94=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
5,
7,
93,
71
] | 82 | [
"7-5=2",
"93+71=164",
"164/2=82"
] | Current State: 82:[5, 7, 93, 71], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [93, 71, 2]
Generated Node #2: [93, 71, 2] from Operation: 7-5=2
Current State: 82:[93, 71, 2], Operations: ['7-5=2']
Exploring Operation: 93+71=164, Resulting Numbers: [2, 164]
Generated Node #3: [2, 164] from Operation: 93+71=164
Current State: 82:[2, 164], Operations: ['7-5=2', '93+71=164']
Exploring Operation: 164/2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
29,
44,
44,
93
] | 64 | [
"29+44=73",
"44+93=137",
"137-73=64"
] | Current State: 64:[29, 44, 44, 93], Operations: []
Exploring Operation: 29+44=73, Resulting Numbers: [93, 73]
Generated Node #2: [93, 73] from Operation: 29+44=73
Current State: 64:[93, 73], Operations: ['29+44=73']
Exploring Operation: 44+93=137, Resulting Numbers: [73, 137]
Generated Node #3: [73, 137] from Operation: 44+93=137
Current State: 64:[73, 137], Operations: ['29+44=73', '44+93=137']
Exploring Operation: 137-73=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
58,
66,
28,
14
] | 62 | [
"58+66=124",
"28/14=2",
"124/2=62"
] | Current State: 62:[58, 66, 28, 14], Operations: []
Exploring Operation: 58+66=124, Resulting Numbers: [28, 14, 124]
Generated Node #2: [28, 14, 124] from Operation: 58+66=124
Current State: 62:[28, 14, 124], Operations: ['58+66=124']
Exploring Operation: 28/14=2, Resulting Numbers: [124, 2]
Generated Node #3: [124, 2] from Operation: 28/14=2
Current State: 62:[124, 2], Operations: ['58+66=124', '28/14=2']
Exploring Operation: 124/2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
27,
62,
91,
30
] | 96 | [
"62-27=35",
"91-30=61",
"35+61=96"
] | Current State: 96:[27, 62, 91, 30], Operations: []
Exploring Operation: 62-27=35, Resulting Numbers: [91, 30, 35]
Generated Node #2: [91, 30, 35] from Operation: 62-27=35
Current State: 96:[91, 30, 35], Operations: ['62-27=35']
Exploring Operation: 91-30=61, Resulting Numbers: [35, 61]
Generated Node #3: [35, 61] from Operation: 91-30=61
Current State: 96:[35, 61], Operations: ['62-27=35', '91-30=61']
Exploring Operation: 35+61=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
94,
92,
13,
32
] | 77 | [
"94-92=2",
"32*2=64",
"13+64=77"
] | Current State: 77:[94, 92, 13, 32], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [13, 32, 2]
Generated Node #2: [13, 32, 2] from Operation: 94-92=2
Current State: 77:[13, 32, 2], Operations: ['94-92=2']
Exploring Operation: 32*2=64, Resulting Numbers: [13, 64]
Generated Node #3: [13, 64] from Operation: 32*2=64
Current State: 77:[13, 64], Operations: ['94-92=2', '32*2=64']
Exploring Operation: 13+64=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
54,
38,
80,
69
] | 81 | [
"54+38=92",
"80-69=11",
"92-11=81"
] | Current State: 81:[54, 38, 80, 69], Operations: []
Exploring Operation: 54+38=92, Resulting Numbers: [80, 69, 92]
Generated Node #2: [80, 69, 92] from Operation: 54+38=92
Current State: 81:[80, 69, 92], Operations: ['54+38=92']
Exploring Operation: 80-69=11, Resulting Numbers: [92, 11]
Generated Node #3: [92, 11] from Operation: 80-69=11
Current State: 81:[92, 11], Operations: ['54+38=92', '80-69=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
21,
35,
85,
2
] | 49 | [
"21*85=1785",
"1785/35=51",
"51-2=49"
] | Current State: 49:[21, 35, 85, 2], Operations: []
Exploring Operation: 21*85=1785, Resulting Numbers: [35, 2, 1785]
Generated Node #2: [35, 2, 1785] from Operation: 21*85=1785
Current State: 49:[35, 2, 1785], Operations: ['21*85=1785']
Exploring Operation: 1785/35=51, Resulting Numbers: [2, 51]
Generated Node #3: [2, 51] from Operation: 1785/35=51
Current State: 49:[2, 51], Operations: ['21*85=1785', '1785/35=51']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
62,
2,
20,
37
] | 43 | [
"62-2=60",
"37-20=17",
"60-17=43"
] | Current State: 43:[62, 2, 20, 37], Operations: []
Exploring Operation: 62-2=60, Resulting Numbers: [20, 37, 60]
Generated Node #2: [20, 37, 60] from Operation: 62-2=60
Current State: 43:[20, 37, 60], Operations: ['62-2=60']
Exploring Operation: 37-20=17, Resulting Numbers: [60, 17]
Generated Node #3: [60, 17] from Operation: 37-20=17
Current State: 43:[60, 17], Operations: ['62-2=60', '37-20=17']
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
19,
60,
34,
38
] | 96 | [
"38/19=2",
"60+34=94",
"2+94=96"
] | Current State: 96:[19, 60, 34, 38], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [60, 34, 2]
Generated Node #2: [60, 34, 2] from Operation: 38/19=2
Current State: 96:[60, 34, 2], Operations: ['38/19=2']
Exploring Operation: 60+34=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 60+34=94
Current State: 96:[2, 94], Operations: ['38/19=2', '60+34=94']
Exploring Operation: 2+94=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
14,
88,
24,
43
] | 83 | [
"14+88=102",
"43-24=19",
"102-19=83"
] | Current State: 83:[14, 88, 24, 43], Operations: []
Exploring Operation: 14+88=102, Resulting Numbers: [24, 43, 102]
Generated Node #2: [24, 43, 102] from Operation: 14+88=102
Current State: 83:[24, 43, 102], Operations: ['14+88=102']
Exploring Operation: 43-24=19, Resulting Numbers: [102, 19]
Generated Node #3: [102, 19] from Operation: 43-24=19
Current State: 83:[102, 19], Operations: ['14+88=102', '43-24=19']
Exploring Operation: 102-19=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
98,
5,
84,
80
] | 97 | [
"98-5=93",
"84-80=4",
"93+4=97"
] | Current State: 97:[98, 5, 84, 80], Operations: []
Exploring Operation: 98-5=93, Resulting Numbers: [84, 80, 93]
Generated Node #2: [84, 80, 93] from Operation: 98-5=93
Current State: 97:[84, 80, 93], Operations: ['98-5=93']
Exploring Operation: 84-80=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 84-80=4
Current State: 97:[93, 4], Operations: ['98-5=93', '84-80=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
36,
86,
27,
34
] | 90 | [
"86+34=120",
"27*120=3240",
"3240/36=90"
] | Current State: 90:[36, 86, 27, 34], Operations: []
Exploring Operation: 86+34=120, Resulting Numbers: [36, 27, 120]
Generated Node #2: [36, 27, 120] from Operation: 86+34=120
Current State: 90:[36, 27, 120], Operations: ['86+34=120']
Exploring Operation: 27*120=3240, Resulting Numbers: [36, 3240]
Generated Node #3: [36, 3240] from Operation: 27*120=3240
Current State: 90:[36, 3240], Operations: ['86+34=120', '27*120=3240']
Exploring Operation: 3240/36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
36,
2,
53,
62
] | 40 | [
"62-36=26",
"26/2=13",
"53-13=40"
] | Current State: 40:[36, 2, 53, 62], Operations: []
Exploring Operation: 62-36=26, Resulting Numbers: [2, 53, 26]
Generated Node #2: [2, 53, 26] from Operation: 62-36=26
Current State: 40:[2, 53, 26], Operations: ['62-36=26']
Exploring Operation: 26/2=13, Resulting Numbers: [53, 13]
Generated Node #3: [53, 13] from Operation: 26/2=13
Current State: 40:[53, 13], Operations: ['62-36=26', '26/2=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
55,
55,
4,
75
] | 75 | [
"55-55=0",
"4*0=0",
"75+0=75"
] | Current State: 75:[55, 55, 4, 75], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [4, 75, 0]
Generated Node #2: [4, 75, 0] from Operation: 55-55=0
Current State: 75:[4, 75, 0], Operations: ['55-55=0']
Exploring Operation: 4*0=0, Resulting Numbers: [75, 0]
Generated Node #3: [75, 0] from Operation: 4*0=0
Current State: 75:[75, 0], Operations: ['55-55=0', '4*0=0']
Exploring Operation: 75+0=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
31,
95,
50,
61
] | 57 | [
"61-31=30",
"95*30=2850",
"2850/50=57"
] | Current State: 57:[31, 95, 50, 61], Operations: []
Exploring Operation: 61-31=30, Resulting Numbers: [95, 50, 30]
Generated Node #2: [95, 50, 30] from Operation: 61-31=30
Current State: 57:[95, 50, 30], Operations: ['61-31=30']
Exploring Operation: 95*30=2850, Resulting Numbers: [50, 2850]
Generated Node #3: [50, 2850] from Operation: 95*30=2850
Current State: 57:[50, 2850], Operations: ['61-31=30', '95*30=2850']
Exploring Operation: 2850/50=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
27,
63,
2,
13
] | 59 | [
"63-27=36",
"2*36=72",
"72-13=59"
] | Current State: 59:[27, 63, 2, 13], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [2, 13, 36]
Generated Node #2: [2, 13, 36] from Operation: 63-27=36
Current State: 59:[2, 13, 36], Operations: ['63-27=36']
Exploring Operation: 2*36=72, Resulting Numbers: [13, 72]
Generated Node #3: [13, 72] from Operation: 2*36=72
Current State: 59:[13, 72], Operations: ['63-27=36', '2*36=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
78,
89,
13,
71
] | 24 | [
"78/13=6",
"89-71=18",
"6+18=24"
] | Current State: 24:[78, 89, 13, 71], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [89, 71, 6]
Generated Node #2: [89, 71, 6] from Operation: 78/13=6
Current State: 24:[89, 71, 6], Operations: ['78/13=6']
Exploring Operation: 89-71=18, Resulting Numbers: [6, 18]
Generated Node #3: [6, 18] from Operation: 89-71=18
Current State: 24:[6, 18], Operations: ['78/13=6', '89-71=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
85,
8,
80,
71
] | 85 | [
"80-8=72",
"72-71=1",
"85*1=85"
] | Current State: 85:[85, 8, 80, 71], Operations: []
Exploring Operation: 80-8=72, Resulting Numbers: [85, 71, 72]
Generated Node #2: [85, 71, 72] from Operation: 80-8=72
Current State: 85:[85, 71, 72], Operations: ['80-8=72']
Exploring Operation: 72-71=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 72-71=1
Current State: 85:[85, 1], Operations: ['80-8=72', '72-71=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
10,
88,
90,
99
] | 91 | [
"10+88=98",
"90+99=189",
"189-98=91"
] | Current State: 91:[10, 88, 90, 99], Operations: []
Exploring Operation: 10+88=98, Resulting Numbers: [90, 99, 98]
Generated Node #2: [90, 99, 98] from Operation: 10+88=98
Current State: 91:[90, 99, 98], Operations: ['10+88=98']
Exploring Operation: 90+99=189, Resulting Numbers: [98, 189]
Generated Node #3: [98, 189] from Operation: 90+99=189
Current State: 91:[98, 189], Operations: ['10+88=98', '90+99=189']
Exploring Operation: 189-98=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
62,
49,
69,
73
] | 80 | [
"69-62=7",
"49/7=7",
"73+7=80"
] | Current State: 80:[62, 49, 69, 73], Operations: []
Exploring Operation: 69-62=7, Resulting Numbers: [49, 73, 7]
Generated Node #2: [49, 73, 7] from Operation: 69-62=7
Current State: 80:[49, 73, 7], Operations: ['69-62=7']
Exploring Operation: 49/7=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 49/7=7
Current State: 80:[73, 7], Operations: ['69-62=7', '49/7=7']
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
11,
5,
4,
18
] | 81 | [
"5+4=9",
"11*9=99",
"99-18=81"
] | Current State: 81:[11, 5, 4, 18], Operations: []
Exploring Operation: 5+4=9, Resulting Numbers: [11, 18, 9]
Generated Node #2: [11, 18, 9] from Operation: 5+4=9
Current State: 81:[11, 18, 9], Operations: ['5+4=9']
Exploring Operation: 11*9=99, Resulting Numbers: [18, 99]
Generated Node #3: [18, 99] from Operation: 11*9=99
Current State: 81:[18, 99], Operations: ['5+4=9', '11*9=99']
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
18,
9,
38
] | 29 | [
"20+38=58",
"18/9=2",
"58/2=29"
] | Current State: 29:[20, 18, 9, 38], Operations: []
Exploring Operation: 20+38=58, Resulting Numbers: [18, 9, 58]
Generated Node #2: [18, 9, 58] from Operation: 20+38=58
Current State: 29:[18, 9, 58], Operations: ['20+38=58']
Exploring Operation: 18/9=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 18/9=2
Current State: 29:[58, 2], Operations: ['20+38=58', '18/9=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
97,
79,
92,
94
] | 88 | [
"97+79=176",
"94-92=2",
"176/2=88"
] | Current State: 88:[97, 79, 92, 94], Operations: []
Exploring Operation: 97+79=176, Resulting Numbers: [92, 94, 176]
Generated Node #2: [92, 94, 176] from Operation: 97+79=176
Current State: 88:[92, 94, 176], Operations: ['97+79=176']
Exploring Operation: 94-92=2, Resulting Numbers: [176, 2]
Generated Node #3: [176, 2] from Operation: 94-92=2
Current State: 88:[176, 2], Operations: ['97+79=176', '94-92=2']
Exploring Operation: 176/2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
75,
43,
87,
16
] | 47 | [
"75+43=118",
"87-16=71",
"118-71=47"
] | Current State: 47:[75, 43, 87, 16], Operations: []
Exploring Operation: 75+43=118, Resulting Numbers: [87, 16, 118]
Generated Node #2: [87, 16, 118] from Operation: 75+43=118
Current State: 47:[87, 16, 118], Operations: ['75+43=118']
Exploring Operation: 87-16=71, Resulting Numbers: [118, 71]
Generated Node #3: [118, 71] from Operation: 87-16=71
Current State: 47:[118, 71], Operations: ['75+43=118', '87-16=71']
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
6,
73,
50,
55
] | 72 | [
"73-6=67",
"55-50=5",
"67+5=72"
] | Current State: 72:[6, 73, 50, 55], Operations: []
Exploring Operation: 73-6=67, Resulting Numbers: [50, 55, 67]
Generated Node #2: [50, 55, 67] from Operation: 73-6=67
Current State: 72:[50, 55, 67], Operations: ['73-6=67']
Exploring Operation: 55-50=5, Resulting Numbers: [67, 5]
Generated Node #3: [67, 5] from Operation: 55-50=5
Current State: 72:[67, 5], Operations: ['73-6=67', '55-50=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
23,
91,
65,
39
] | 92 | [
"91+65=156",
"23*156=3588",
"3588/39=92"
] | Current State: 92:[23, 91, 65, 39], Operations: []
Exploring Operation: 91+65=156, Resulting Numbers: [23, 39, 156]
Generated Node #2: [23, 39, 156] from Operation: 91+65=156
Current State: 92:[23, 39, 156], Operations: ['91+65=156']
Exploring Operation: 23*156=3588, Resulting Numbers: [39, 3588]
Generated Node #3: [39, 3588] from Operation: 23*156=3588
Current State: 92:[39, 3588], Operations: ['91+65=156', '23*156=3588']
Exploring Operation: 3588/39=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
68,
75,
92,
19
] | 80 | [
"75-68=7",
"92-19=73",
"7+73=80"
] | Current State: 80:[68, 75, 92, 19], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [92, 19, 7]
Generated Node #2: [92, 19, 7] from Operation: 75-68=7
Current State: 80:[92, 19, 7], Operations: ['75-68=7']
Exploring Operation: 92-19=73, Resulting Numbers: [7, 73]
Generated Node #3: [7, 73] from Operation: 92-19=73
Current State: 80:[7, 73], Operations: ['75-68=7', '92-19=73']
Exploring Operation: 7+73=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
67,
23,
1
] | 93 | [
"49+67=116",
"23*1=23",
"116-23=93"
] | Current State: 93:[49, 67, 23, 1], Operations: []
Exploring Operation: 49+67=116, Resulting Numbers: [23, 1, 116]
Generated Node #2: [23, 1, 116] from Operation: 49+67=116
Current State: 93:[23, 1, 116], Operations: ['49+67=116']
Exploring Operation: 23*1=23, Resulting Numbers: [116, 23]
Generated Node #3: [116, 23] from Operation: 23*1=23
Current State: 93:[116, 23], Operations: ['49+67=116', '23*1=23']
Exploring Operation: 116-23=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
7,
40,
3,
67
] | 97 | [
"40-7=33",
"67-3=64",
"33+64=97"
] | Current State: 97:[7, 40, 3, 67], Operations: []
Exploring Operation: 40-7=33, Resulting Numbers: [3, 67, 33]
Generated Node #2: [3, 67, 33] from Operation: 40-7=33
Current State: 97:[3, 67, 33], Operations: ['40-7=33']
Exploring Operation: 67-3=64, Resulting Numbers: [33, 64]
Generated Node #3: [33, 64] from Operation: 67-3=64
Current State: 97:[33, 64], Operations: ['40-7=33', '67-3=64']
Exploring Operation: 33+64=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
56,
3,
76,
74
] | 30 | [
"56+76=132",
"132/3=44",
"74-44=30"
] | Current State: 30:[56, 3, 76, 74], Operations: []
Exploring Operation: 56+76=132, Resulting Numbers: [3, 74, 132]
Generated Node #2: [3, 74, 132] from Operation: 56+76=132
Current State: 30:[3, 74, 132], Operations: ['56+76=132']
Exploring Operation: 132/3=44, Resulting Numbers: [74, 44]
Generated Node #3: [74, 44] from Operation: 132/3=44
Current State: 30:[74, 44], Operations: ['56+76=132', '132/3=44']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
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