nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
74,
80,
19,
41
] | 94 | [
"74+80=154",
"19+41=60",
"154-60=94"
] | Current State: 94:[74, 80, 19, 41], Operations: []
Exploring Operation: 74+80=154, Resulting Numbers: [19, 41, 154]
Generated Node #2: [19, 41, 154] from Operation: 74+80=154
Current State: 94:[19, 41, 154], Operations: ['74+80=154']
Exploring Operation: 19+41=60, Resulting Numbers: [154, 60]
Generated Node #3: [154, 60] from Operation: 19+41=60
Current State: 94:[154, 60], Operations: ['74+80=154', '19+41=60']
Exploring Operation: 154-60=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
21,
3,
74
] | 67 | [
"64+74=138",
"138/3=46",
"21+46=67"
] | Current State: 67:[64, 21, 3, 74], Operations: []
Exploring Operation: 64+74=138, Resulting Numbers: [21, 3, 138]
Generated Node #2: [21, 3, 138] from Operation: 64+74=138
Current State: 67:[21, 3, 138], Operations: ['64+74=138']
Exploring Operation: 138/3=46, Resulting Numbers: [21, 46]
Generated Node #3: [21, 46] from Operation: 138/3=46
Current State: 67:[21, 46], Operations: ['64+74=138', '138/3=46']
Exploring Operation: 21+46=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
72,
74,
78,
70
] | 83 | [
"78-70=8",
"72/8=9",
"74+9=83"
] | Current State: 83:[72, 74, 78, 70], Operations: []
Exploring Operation: 78-70=8, Resulting Numbers: [72, 74, 8]
Generated Node #2: [72, 74, 8] from Operation: 78-70=8
Current State: 83:[72, 74, 8], Operations: ['78-70=8']
Exploring Operation: 72/8=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 72/8=9
Current State: 83:[74, 9], Operations: ['78-70=8', '72/8=9']
Exploring Operation: 74+9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
33,
88,
66,
23
] | 33 | [
"88-66=22",
"23-22=1",
"33*1=33"
] | Current State: 33:[33, 88, 66, 23], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [33, 23, 22]
Generated Node #2: [33, 23, 22] from Operation: 88-66=22
Current State: 33:[33, 23, 22], Operations: ['88-66=22']
Exploring Operation: 23-22=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 23-22=1
Current State: 33:[33, 1], Operations: ['88-66=22', '23-22=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
81,
3,
56,
3
] | 90 | [
"81-3=78",
"56*3=168",
"168-78=90"
] | Current State: 90:[81, 3, 56, 3], Operations: []
Exploring Operation: 81-3=78, Resulting Numbers: [56, 78]
Generated Node #2: [56, 78] from Operation: 81-3=78
Current State: 90:[56, 78], Operations: ['81-3=78']
Exploring Operation: 56*3=168, Resulting Numbers: [78, 168]
Generated Node #3: [78, 168] from Operation: 56*3=168
Current State: 90:[78, 168], Operations: ['81-3=78', '56*3=168']
Exploring Operation: 168-78=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
22,
41,
72,
48
] | 82 | [
"72-22=50",
"50-48=2",
"41*2=82"
] | Current State: 82:[22, 41, 72, 48], Operations: []
Exploring Operation: 72-22=50, Resulting Numbers: [41, 48, 50]
Generated Node #2: [41, 48, 50] from Operation: 72-22=50
Current State: 82:[41, 48, 50], Operations: ['72-22=50']
Exploring Operation: 50-48=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 50-48=2
Current State: 82:[41, 2], Operations: ['72-22=50', '50-48=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
36,
45,
86,
57
] | 89 | [
"57-45=12",
"36/12=3",
"86+3=89"
] | Current State: 89:[36, 45, 86, 57], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [36, 86, 12]
Generated Node #2: [36, 86, 12] from Operation: 57-45=12
Current State: 89:[36, 86, 12], Operations: ['57-45=12']
Exploring Operation: 36/12=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 36/12=3
Current State: 89:[86, 3], Operations: ['57-45=12', '36/12=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
83,
6,
94,
84
] | 79 | [
"83+6=89",
"94-84=10",
"89-10=79"
] | Current State: 79:[83, 6, 94, 84], Operations: []
Exploring Operation: 83+6=89, Resulting Numbers: [94, 84, 89]
Generated Node #2: [94, 84, 89] from Operation: 83+6=89
Current State: 79:[94, 84, 89], Operations: ['83+6=89']
Exploring Operation: 94-84=10, Resulting Numbers: [89, 10]
Generated Node #3: [89, 10] from Operation: 94-84=10
Current State: 79:[89, 10], Operations: ['83+6=89', '94-84=10']
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
50,
61,
63,
13
] | 60 | [
"63-50=13",
"13/13=1",
"61-1=60"
] | Current State: 60:[50, 61, 63, 13], Operations: []
Exploring Operation: 63-50=13, Resulting Numbers: [61, 13, 13]
Generated Node #2: [61, 13, 13] from Operation: 63-50=13
Current State: 60:[61, 13, 13], Operations: ['63-50=13']
Exploring Operation: 13/13=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 13/13=1
Current State: 60:[61, 1], Operations: ['63-50=13', '13/13=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
44,
84,
78,
40
] | 77 | [
"84-44=40",
"40/40=1",
"78-1=77"
] | Current State: 77:[44, 84, 78, 40], Operations: []
Exploring Operation: 84-44=40, Resulting Numbers: [78, 40, 40]
Generated Node #2: [78, 40, 40] from Operation: 84-44=40
Current State: 77:[78, 40, 40], Operations: ['84-44=40']
Exploring Operation: 40/40=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 40/40=1
Current State: 77:[78, 1], Operations: ['84-44=40', '40/40=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
42,
44,
50
] | 48 | [
"50-42=8",
"8/2=4",
"44+4=48"
] | Current State: 48:[2, 42, 44, 50], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [2, 44, 8]
Generated Node #2: [2, 44, 8] from Operation: 50-42=8
Current State: 48:[2, 44, 8], Operations: ['50-42=8']
Exploring Operation: 8/2=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 8/2=4
Current State: 48:[44, 4], Operations: ['50-42=8', '8/2=4']
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
46,
93,
54,
95
] | 98 | [
"46+93=139",
"95-54=41",
"139-41=98"
] | Current State: 98:[46, 93, 54, 95], Operations: []
Exploring Operation: 46+93=139, Resulting Numbers: [54, 95, 139]
Generated Node #2: [54, 95, 139] from Operation: 46+93=139
Current State: 98:[54, 95, 139], Operations: ['46+93=139']
Exploring Operation: 95-54=41, Resulting Numbers: [139, 41]
Generated Node #3: [139, 41] from Operation: 95-54=41
Current State: 98:[139, 41], Operations: ['46+93=139', '95-54=41']
Exploring Operation: 139-41=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
29,
8,
24,
80
] | 43 | [
"29+24=53",
"80/8=10",
"53-10=43"
] | Current State: 43:[29, 8, 24, 80], Operations: []
Exploring Operation: 29+24=53, Resulting Numbers: [8, 80, 53]
Generated Node #2: [8, 80, 53] from Operation: 29+24=53
Current State: 43:[8, 80, 53], Operations: ['29+24=53']
Exploring Operation: 80/8=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 80/8=10
Current State: 43:[53, 10], Operations: ['29+24=53', '80/8=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
1,
69,
49,
62
] | 82 | [
"1*69=69",
"62-49=13",
"69+13=82"
] | Current State: 82:[1, 69, 49, 62], Operations: []
Exploring Operation: 1*69=69, Resulting Numbers: [49, 62, 69]
Generated Node #2: [49, 62, 69] from Operation: 1*69=69
Current State: 82:[49, 62, 69], Operations: ['1*69=69']
Exploring Operation: 62-49=13, Resulting Numbers: [69, 13]
Generated Node #3: [69, 13] from Operation: 62-49=13
Current State: 82:[69, 13], Operations: ['1*69=69', '62-49=13']
Exploring Operation: 69+13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
19,
54,
6,
57
] | 51 | [
"57/19=3",
"54-6=48",
"3+48=51"
] | Current State: 51:[19, 54, 6, 57], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [54, 6, 3]
Generated Node #2: [54, 6, 3] from Operation: 57/19=3
Current State: 51:[54, 6, 3], Operations: ['57/19=3']
Exploring Operation: 54-6=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 54-6=48
Current State: 51:[3, 48], Operations: ['57/19=3', '54-6=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
52,
82,
26,
66
] | 74 | [
"52/26=2",
"82+66=148",
"148/2=74"
] | Current State: 74:[52, 82, 26, 66], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [82, 66, 2]
Generated Node #2: [82, 66, 2] from Operation: 52/26=2
Current State: 74:[82, 66, 2], Operations: ['52/26=2']
Exploring Operation: 82+66=148, Resulting Numbers: [2, 148]
Generated Node #3: [2, 148] from Operation: 82+66=148
Current State: 74:[2, 148], Operations: ['52/26=2', '82+66=148']
Exploring Operation: 148/2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
87,
13,
99,
40
] | 41 | [
"87+13=100",
"99-40=59",
"100-59=41"
] | Current State: 41:[87, 13, 99, 40], Operations: []
Exploring Operation: 87+13=100, Resulting Numbers: [99, 40, 100]
Generated Node #2: [99, 40, 100] from Operation: 87+13=100
Current State: 41:[99, 40, 100], Operations: ['87+13=100']
Exploring Operation: 99-40=59, Resulting Numbers: [100, 59]
Generated Node #3: [100, 59] from Operation: 99-40=59
Current State: 41:[100, 59], Operations: ['87+13=100', '99-40=59']
Exploring Operation: 100-59=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
70,
62,
91,
45
] | 86 | [
"70+62=132",
"91-45=46",
"132-46=86"
] | Current State: 86:[70, 62, 91, 45], Operations: []
Exploring Operation: 70+62=132, Resulting Numbers: [91, 45, 132]
Generated Node #2: [91, 45, 132] from Operation: 70+62=132
Current State: 86:[91, 45, 132], Operations: ['70+62=132']
Exploring Operation: 91-45=46, Resulting Numbers: [132, 46]
Generated Node #3: [132, 46] from Operation: 91-45=46
Current State: 86:[132, 46], Operations: ['70+62=132', '91-45=46']
Exploring Operation: 132-46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
91,
88,
7,
97
] | 76 | [
"91-88=3",
"7*3=21",
"97-21=76"
] | Current State: 76:[91, 88, 7, 97], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [7, 97, 3]
Generated Node #2: [7, 97, 3] from Operation: 91-88=3
Current State: 76:[7, 97, 3], Operations: ['91-88=3']
Exploring Operation: 7*3=21, Resulting Numbers: [97, 21]
Generated Node #3: [97, 21] from Operation: 7*3=21
Current State: 76:[97, 21], Operations: ['91-88=3', '7*3=21']
Exploring Operation: 97-21=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
69,
51,
80
] | 24 | [
"69-51=18",
"80*18=1440",
"1440/60=24"
] | Current State: 24:[60, 69, 51, 80], Operations: []
Exploring Operation: 69-51=18, Resulting Numbers: [60, 80, 18]
Generated Node #2: [60, 80, 18] from Operation: 69-51=18
Current State: 24:[60, 80, 18], Operations: ['69-51=18']
Exploring Operation: 80*18=1440, Resulting Numbers: [60, 1440]
Generated Node #3: [60, 1440] from Operation: 80*18=1440
Current State: 24:[60, 1440], Operations: ['69-51=18', '80*18=1440']
Exploring Operation: 1440/60=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
3,
51,
58,
38
] | 15 | [
"58-51=7",
"38+7=45",
"45/3=15"
] | Current State: 15:[3, 51, 58, 38], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [3, 38, 7]
Generated Node #2: [3, 38, 7] from Operation: 58-51=7
Current State: 15:[3, 38, 7], Operations: ['58-51=7']
Exploring Operation: 38+7=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 38+7=45
Current State: 15:[3, 45], Operations: ['58-51=7', '38+7=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
90,
2,
21,
28
] | 82 | [
"90-21=69",
"69-28=41",
"2*41=82"
] | Current State: 82:[90, 2, 21, 28], Operations: []
Exploring Operation: 90-21=69, Resulting Numbers: [2, 28, 69]
Generated Node #2: [2, 28, 69] from Operation: 90-21=69
Current State: 82:[2, 28, 69], Operations: ['90-21=69']
Exploring Operation: 69-28=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 69-28=41
Current State: 82:[2, 41], Operations: ['90-21=69', '69-28=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
44,
31,
23,
64
] | 34 | [
"44+31=75",
"64-23=41",
"75-41=34"
] | Current State: 34:[44, 31, 23, 64], Operations: []
Exploring Operation: 44+31=75, Resulting Numbers: [23, 64, 75]
Generated Node #2: [23, 64, 75] from Operation: 44+31=75
Current State: 34:[23, 64, 75], Operations: ['44+31=75']
Exploring Operation: 64-23=41, Resulting Numbers: [75, 41]
Generated Node #3: [75, 41] from Operation: 64-23=41
Current State: 34:[75, 41], Operations: ['44+31=75', '64-23=41']
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
5,
3,
84,
54
] | 18 | [
"5*54=270",
"3*84=252",
"270-252=18"
] | Current State: 18:[5, 3, 84, 54], Operations: []
Exploring Operation: 5*54=270, Resulting Numbers: [3, 84, 270]
Generated Node #2: [3, 84, 270] from Operation: 5*54=270
Current State: 18:[3, 84, 270], Operations: ['5*54=270']
Exploring Operation: 3*84=252, Resulting Numbers: [270, 252]
Generated Node #3: [270, 252] from Operation: 3*84=252
Current State: 18:[270, 252], Operations: ['5*54=270', '3*84=252']
Exploring Operation: 270-252=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
57,
78,
7,
91
] | 77 | [
"78-57=21",
"7+91=98",
"98-21=77"
] | Current State: 77:[57, 78, 7, 91], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [7, 91, 21]
Generated Node #2: [7, 91, 21] from Operation: 78-57=21
Current State: 77:[7, 91, 21], Operations: ['78-57=21']
Exploring Operation: 7+91=98, Resulting Numbers: [21, 98]
Generated Node #3: [21, 98] from Operation: 7+91=98
Current State: 77:[21, 98], Operations: ['78-57=21', '7+91=98']
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
43,
46,
44
] | 43 | [
"2+43=45",
"46-44=2",
"45-2=43"
] | Current State: 43:[2, 43, 46, 44], Operations: []
Exploring Operation: 2+43=45, Resulting Numbers: [46, 44, 45]
Generated Node #2: [46, 44, 45] from Operation: 2+43=45
Current State: 43:[46, 44, 45], Operations: ['2+43=45']
Exploring Operation: 46-44=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 46-44=2
Current State: 43:[45, 2], Operations: ['2+43=45', '46-44=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
64,
26,
17,
52
] | 49 | [
"64*26=1664",
"1664/52=32",
"17+32=49"
] | Current State: 49:[64, 26, 17, 52], Operations: []
Exploring Operation: 64*26=1664, Resulting Numbers: [17, 52, 1664]
Generated Node #2: [17, 52, 1664] from Operation: 64*26=1664
Current State: 49:[17, 52, 1664], Operations: ['64*26=1664']
Exploring Operation: 1664/52=32, Resulting Numbers: [17, 32]
Generated Node #3: [17, 32] from Operation: 1664/52=32
Current State: 49:[17, 32], Operations: ['64*26=1664', '1664/52=32']
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
97,
56,
48,
13
] | 89 | [
"56+48=104",
"104/13=8",
"97-8=89"
] | Current State: 89:[97, 56, 48, 13], Operations: []
Exploring Operation: 56+48=104, Resulting Numbers: [97, 13, 104]
Generated Node #2: [97, 13, 104] from Operation: 56+48=104
Current State: 89:[97, 13, 104], Operations: ['56+48=104']
Exploring Operation: 104/13=8, Resulting Numbers: [97, 8]
Generated Node #3: [97, 8] from Operation: 104/13=8
Current State: 89:[97, 8], Operations: ['56+48=104', '104/13=8']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
53,
8,
46,
38
] | 18 | [
"53-46=7",
"8*7=56",
"56-38=18"
] | Current State: 18:[53, 8, 46, 38], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [8, 38, 7]
Generated Node #2: [8, 38, 7] from Operation: 53-46=7
Current State: 18:[8, 38, 7], Operations: ['53-46=7']
Exploring Operation: 8*7=56, Resulting Numbers: [38, 56]
Generated Node #3: [38, 56] from Operation: 8*7=56
Current State: 18:[38, 56], Operations: ['53-46=7', '8*7=56']
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
8,
86,
48,
51
] | 62 | [
"51-48=3",
"8*3=24",
"86-24=62"
] | Current State: 62:[8, 86, 48, 51], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [8, 86, 3]
Generated Node #2: [8, 86, 3] from Operation: 51-48=3
Current State: 62:[8, 86, 3], Operations: ['51-48=3']
Exploring Operation: 8*3=24, Resulting Numbers: [86, 24]
Generated Node #3: [86, 24] from Operation: 8*3=24
Current State: 62:[86, 24], Operations: ['51-48=3', '8*3=24']
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
52,
68,
76,
44
] | 31 | [
"52*44=2288",
"68+2288=2356",
"2356/76=31"
] | Current State: 31:[52, 68, 76, 44], Operations: []
Exploring Operation: 52*44=2288, Resulting Numbers: [68, 76, 2288]
Generated Node #2: [68, 76, 2288] from Operation: 52*44=2288
Current State: 31:[68, 76, 2288], Operations: ['52*44=2288']
Exploring Operation: 68+2288=2356, Resulting Numbers: [76, 2356]
Generated Node #3: [76, 2356] from Operation: 68+2288=2356
Current State: 31:[76, 2356], Operations: ['52*44=2288', '68+2288=2356']
Exploring Operation: 2356/76=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
88,
24,
44,
4
] | 75 | [
"88-24=64",
"44/4=11",
"64+11=75"
] | Current State: 75:[88, 24, 44, 4], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [44, 4, 64]
Generated Node #2: [44, 4, 64] from Operation: 88-24=64
Current State: 75:[44, 4, 64], Operations: ['88-24=64']
Exploring Operation: 44/4=11, Resulting Numbers: [64, 11]
Generated Node #3: [64, 11] from Operation: 44/4=11
Current State: 75:[64, 11], Operations: ['88-24=64', '44/4=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
26,
22,
35,
92
] | 61 | [
"26-22=4",
"92-35=57",
"4+57=61"
] | Current State: 61:[26, 22, 35, 92], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [35, 92, 4]
Generated Node #2: [35, 92, 4] from Operation: 26-22=4
Current State: 61:[35, 92, 4], Operations: ['26-22=4']
Exploring Operation: 92-35=57, Resulting Numbers: [4, 57]
Generated Node #3: [4, 57] from Operation: 92-35=57
Current State: 61:[4, 57], Operations: ['26-22=4', '92-35=57']
Exploring Operation: 4+57=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
98,
37,
67,
14
] | 82 | [
"98+37=135",
"67-14=53",
"135-53=82"
] | Current State: 82:[98, 37, 67, 14], Operations: []
Exploring Operation: 98+37=135, Resulting Numbers: [67, 14, 135]
Generated Node #2: [67, 14, 135] from Operation: 98+37=135
Current State: 82:[67, 14, 135], Operations: ['98+37=135']
Exploring Operation: 67-14=53, Resulting Numbers: [135, 53]
Generated Node #3: [135, 53] from Operation: 67-14=53
Current State: 82:[135, 53], Operations: ['98+37=135', '67-14=53']
Exploring Operation: 135-53=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
31,
44,
22,
19
] | 34 | [
"31+44=75",
"22+19=41",
"75-41=34"
] | Current State: 34:[31, 44, 22, 19], Operations: []
Exploring Operation: 31+44=75, Resulting Numbers: [22, 19, 75]
Generated Node #2: [22, 19, 75] from Operation: 31+44=75
Current State: 34:[22, 19, 75], Operations: ['31+44=75']
Exploring Operation: 22+19=41, Resulting Numbers: [75, 41]
Generated Node #3: [75, 41] from Operation: 22+19=41
Current State: 34:[75, 41], Operations: ['31+44=75', '22+19=41']
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
17,
33,
83
] | 65 | [
"34+17=51",
"33+83=116",
"116-51=65"
] | Current State: 65:[34, 17, 33, 83], Operations: []
Exploring Operation: 34+17=51, Resulting Numbers: [33, 83, 51]
Generated Node #2: [33, 83, 51] from Operation: 34+17=51
Current State: 65:[33, 83, 51], Operations: ['34+17=51']
Exploring Operation: 33+83=116, Resulting Numbers: [51, 116]
Generated Node #3: [51, 116] from Operation: 33+83=116
Current State: 65:[51, 116], Operations: ['34+17=51', '33+83=116']
Exploring Operation: 116-51=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
65,
21,
58,
65
] | 62 | [
"65-58=7",
"21/7=3",
"65-3=62"
] | Current State: 62:[65, 21, 58, 65], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [21, 7]
Generated Node #2: [21, 7] from Operation: 65-58=7
Current State: 62:[21, 7], Operations: ['65-58=7']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,62 equal: Goal Reached
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
63,
4,
98,
35
] | 49 | [
"63+98=161",
"35+161=196",
"196/4=49"
] | Current State: 49:[63, 4, 98, 35], Operations: []
Exploring Operation: 63+98=161, Resulting Numbers: [4, 35, 161]
Generated Node #2: [4, 35, 161] from Operation: 63+98=161
Current State: 49:[4, 35, 161], Operations: ['63+98=161']
Exploring Operation: 35+161=196, Resulting Numbers: [4, 196]
Generated Node #3: [4, 196] from Operation: 35+161=196
Current State: 49:[4, 196], Operations: ['63+98=161', '35+161=196']
Exploring Operation: 196/4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
98,
74,
34,
19
] | 39 | [
"98-74=24",
"34-19=15",
"24+15=39"
] | Current State: 39:[98, 74, 34, 19], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [34, 19, 24]
Generated Node #2: [34, 19, 24] from Operation: 98-74=24
Current State: 39:[34, 19, 24], Operations: ['98-74=24']
Exploring Operation: 34-19=15, Resulting Numbers: [24, 15]
Generated Node #3: [24, 15] from Operation: 34-19=15
Current State: 39:[24, 15], Operations: ['98-74=24', '34-19=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
10,
9,
68,
19
] | 32 | [
"19-9=10",
"10*10=100",
"100-68=32"
] | Current State: 32:[10, 9, 68, 19], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [10, 68, 10]
Generated Node #2: [10, 68, 10] from Operation: 19-9=10
Current State: 32:[10, 68, 10], Operations: ['19-9=10']
Exploring Operation: 10*10=100, Resulting Numbers: [68, 100]
Generated Node #3: [68, 100] from Operation: 10*10=100
Current State: 32:[68, 100], Operations: ['19-9=10', '10*10=100']
Exploring Operation: 100-68=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
13,
1,
16,
27
] | 80 | [
"16-13=3",
"27*3=81",
"81-1=80"
] | Current State: 80:[13, 1, 16, 27], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [1, 27, 3]
Generated Node #2: [1, 27, 3] from Operation: 16-13=3
Current State: 80:[1, 27, 3], Operations: ['16-13=3']
Exploring Operation: 27*3=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 27*3=81
Current State: 80:[1, 81], Operations: ['16-13=3', '27*3=81']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
30,
93,
33,
20
] | 76 | [
"93-30=63",
"33-20=13",
"63+13=76"
] | Current State: 76:[30, 93, 33, 20], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [33, 20, 63]
Generated Node #2: [33, 20, 63] from Operation: 93-30=63
Current State: 76:[33, 20, 63], Operations: ['93-30=63']
Exploring Operation: 33-20=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 33-20=13
Current State: 76:[63, 13], Operations: ['93-30=63', '33-20=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
29,
49,
33,
2
] | 80 | [
"29+33=62",
"62/2=31",
"49+31=80"
] | Current State: 80:[29, 49, 33, 2], Operations: []
Exploring Operation: 29+33=62, Resulting Numbers: [49, 2, 62]
Generated Node #2: [49, 2, 62] from Operation: 29+33=62
Current State: 80:[49, 2, 62], Operations: ['29+33=62']
Exploring Operation: 62/2=31, Resulting Numbers: [49, 31]
Generated Node #3: [49, 31] from Operation: 62/2=31
Current State: 80:[49, 31], Operations: ['29+33=62', '62/2=31']
Exploring Operation: 49+31=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
34,
84,
5,
64
] | 70 | [
"84-34=50",
"64-50=14",
"5*14=70"
] | Current State: 70:[34, 84, 5, 64], Operations: []
Exploring Operation: 84-34=50, Resulting Numbers: [5, 64, 50]
Generated Node #2: [5, 64, 50] from Operation: 84-34=50
Current State: 70:[5, 64, 50], Operations: ['84-34=50']
Exploring Operation: 64-50=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 64-50=14
Current State: 70:[5, 14], Operations: ['84-34=50', '64-50=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
53,
17,
75,
65
] | 13 | [
"53+17=70",
"75-70=5",
"65/5=13"
] | Current State: 13:[53, 17, 75, 65], Operations: []
Exploring Operation: 53+17=70, Resulting Numbers: [75, 65, 70]
Generated Node #2: [75, 65, 70] from Operation: 53+17=70
Current State: 13:[75, 65, 70], Operations: ['53+17=70']
Exploring Operation: 75-70=5, Resulting Numbers: [65, 5]
Generated Node #3: [65, 5] from Operation: 75-70=5
Current State: 13:[65, 5], Operations: ['53+17=70', '75-70=5']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
4,
34,
33,
42
] | 65 | [
"42-34=8",
"4*8=32",
"33+32=65"
] | Current State: 65:[4, 34, 33, 42], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [4, 33, 8]
Generated Node #2: [4, 33, 8] from Operation: 42-34=8
Current State: 65:[4, 33, 8], Operations: ['42-34=8']
Exploring Operation: 4*8=32, Resulting Numbers: [33, 32]
Generated Node #3: [33, 32] from Operation: 4*8=32
Current State: 65:[33, 32], Operations: ['42-34=8', '4*8=32']
Exploring Operation: 33+32=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
11,
27,
72,
99
] | 22 | [
"27-11=16",
"99*16=1584",
"1584/72=22"
] | Current State: 22:[11, 27, 72, 99], Operations: []
Exploring Operation: 27-11=16, Resulting Numbers: [72, 99, 16]
Generated Node #2: [72, 99, 16] from Operation: 27-11=16
Current State: 22:[72, 99, 16], Operations: ['27-11=16']
Exploring Operation: 99*16=1584, Resulting Numbers: [72, 1584]
Generated Node #3: [72, 1584] from Operation: 99*16=1584
Current State: 22:[72, 1584], Operations: ['27-11=16', '99*16=1584']
Exploring Operation: 1584/72=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
32,
72,
2,
46
] | 22 | [
"46-32=14",
"72/2=36",
"36-14=22"
] | Current State: 22:[32, 72, 2, 46], Operations: []
Exploring Operation: 46-32=14, Resulting Numbers: [72, 2, 14]
Generated Node #2: [72, 2, 14] from Operation: 46-32=14
Current State: 22:[72, 2, 14], Operations: ['46-32=14']
Exploring Operation: 72/2=36, Resulting Numbers: [14, 36]
Generated Node #3: [14, 36] from Operation: 72/2=36
Current State: 22:[14, 36], Operations: ['46-32=14', '72/2=36']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
73,
57,
61,
55
] | 100 | [
"73-57=16",
"61+55=116",
"116-16=100"
] | Current State: 100:[73, 57, 61, 55], Operations: []
Exploring Operation: 73-57=16, Resulting Numbers: [61, 55, 16]
Generated Node #2: [61, 55, 16] from Operation: 73-57=16
Current State: 100:[61, 55, 16], Operations: ['73-57=16']
Exploring Operation: 61+55=116, Resulting Numbers: [16, 116]
Generated Node #3: [16, 116] from Operation: 61+55=116
Current State: 100:[16, 116], Operations: ['73-57=16', '61+55=116']
Exploring Operation: 116-16=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
24,
26,
7,
26
] | 69 | [
"24+26=50",
"26-7=19",
"50+19=69"
] | Current State: 69:[24, 26, 7, 26], Operations: []
Exploring Operation: 24+26=50, Resulting Numbers: [7, 50]
Generated Node #2: [7, 50] from Operation: 24+26=50
Current State: 69:[7, 50], Operations: ['24+26=50']
Exploring Operation: 26-7=19, Resulting Numbers: [50, 19]
Generated Node #3: [50, 19] from Operation: 26-7=19
Current State: 69:[50, 19], Operations: ['24+26=50', '26-7=19']
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
49,
8,
98,
99
] | 93 | [
"98/49=2",
"99-8=91",
"2+91=93"
] | Current State: 93:[49, 8, 98, 99], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [8, 99, 2]
Generated Node #2: [8, 99, 2] from Operation: 98/49=2
Current State: 93:[8, 99, 2], Operations: ['98/49=2']
Exploring Operation: 99-8=91, Resulting Numbers: [2, 91]
Generated Node #3: [2, 91] from Operation: 99-8=91
Current State: 93:[2, 91], Operations: ['98/49=2', '99-8=91']
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
87,
16,
5,
83
] | 69 | [
"87-83=4",
"16*4=64",
"5+64=69"
] | Current State: 69:[87, 16, 5, 83], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [16, 5, 4]
Generated Node #2: [16, 5, 4] from Operation: 87-83=4
Current State: 69:[16, 5, 4], Operations: ['87-83=4']
Exploring Operation: 16*4=64, Resulting Numbers: [5, 64]
Generated Node #3: [5, 64] from Operation: 16*4=64
Current State: 69:[5, 64], Operations: ['87-83=4', '16*4=64']
Exploring Operation: 5+64=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
18,
89,
23,
8
] | 76 | [
"18+89=107",
"23+8=31",
"107-31=76"
] | Current State: 76:[18, 89, 23, 8], Operations: []
Exploring Operation: 18+89=107, Resulting Numbers: [23, 8, 107]
Generated Node #2: [23, 8, 107] from Operation: 18+89=107
Current State: 76:[23, 8, 107], Operations: ['18+89=107']
Exploring Operation: 23+8=31, Resulting Numbers: [107, 31]
Generated Node #3: [107, 31] from Operation: 23+8=31
Current State: 76:[107, 31], Operations: ['18+89=107', '23+8=31']
Exploring Operation: 107-31=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
95,
75,
94,
69
] | 45 | [
"95-75=20",
"94-69=25",
"20+25=45"
] | Current State: 45:[95, 75, 94, 69], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [94, 69, 20]
Generated Node #2: [94, 69, 20] from Operation: 95-75=20
Current State: 45:[94, 69, 20], Operations: ['95-75=20']
Exploring Operation: 94-69=25, Resulting Numbers: [20, 25]
Generated Node #3: [20, 25] from Operation: 94-69=25
Current State: 45:[20, 25], Operations: ['95-75=20', '94-69=25']
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
68,
97,
15,
3
] | 40 | [
"68+97=165",
"165/3=55",
"55-15=40"
] | Current State: 40:[68, 97, 15, 3], Operations: []
Exploring Operation: 68+97=165, Resulting Numbers: [15, 3, 165]
Generated Node #2: [15, 3, 165] from Operation: 68+97=165
Current State: 40:[15, 3, 165], Operations: ['68+97=165']
Exploring Operation: 165/3=55, Resulting Numbers: [15, 55]
Generated Node #3: [15, 55] from Operation: 165/3=55
Current State: 40:[15, 55], Operations: ['68+97=165', '165/3=55']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
33,
37,
75,
80
] | 75 | [
"33+37=70",
"80-75=5",
"70+5=75"
] | Current State: 75:[33, 37, 75, 80], Operations: []
Exploring Operation: 33+37=70, Resulting Numbers: [75, 80, 70]
Generated Node #2: [75, 80, 70] from Operation: 33+37=70
Current State: 75:[75, 80, 70], Operations: ['33+37=70']
Exploring Operation: 80-75=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 80-75=5
Current State: 75:[70, 5], Operations: ['33+37=70', '80-75=5']
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
42,
46,
31,
88
] | 53 | [
"46-42=4",
"88-31=57",
"57-4=53"
] | Current State: 53:[42, 46, 31, 88], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [31, 88, 4]
Generated Node #2: [31, 88, 4] from Operation: 46-42=4
Current State: 53:[31, 88, 4], Operations: ['46-42=4']
Exploring Operation: 88-31=57, Resulting Numbers: [4, 57]
Generated Node #3: [4, 57] from Operation: 88-31=57
Current State: 53:[4, 57], Operations: ['46-42=4', '88-31=57']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
20,
59,
90,
22
] | 62 | [
"22-20=2",
"90-59=31",
"2*31=62"
] | Current State: 62:[20, 59, 90, 22], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [59, 90, 2]
Generated Node #2: [59, 90, 2] from Operation: 22-20=2
Current State: 62:[59, 90, 2], Operations: ['22-20=2']
Exploring Operation: 90-59=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 90-59=31
Current State: 62:[2, 31], Operations: ['22-20=2', '90-59=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
88,
63,
57,
2
] | 91 | [
"63-57=6",
"6/2=3",
"88+3=91"
] | Current State: 91:[88, 63, 57, 2], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [88, 2, 6]
Generated Node #2: [88, 2, 6] from Operation: 63-57=6
Current State: 91:[88, 2, 6], Operations: ['63-57=6']
Exploring Operation: 6/2=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 6/2=3
Current State: 91:[88, 3], Operations: ['63-57=6', '6/2=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
41,
50,
19,
13
] | 85 | [
"41+50=91",
"19-13=6",
"91-6=85"
] | Current State: 85:[41, 50, 19, 13], Operations: []
Exploring Operation: 41+50=91, Resulting Numbers: [19, 13, 91]
Generated Node #2: [19, 13, 91] from Operation: 41+50=91
Current State: 85:[19, 13, 91], Operations: ['41+50=91']
Exploring Operation: 19-13=6, Resulting Numbers: [91, 6]
Generated Node #3: [91, 6] from Operation: 19-13=6
Current State: 85:[91, 6], Operations: ['41+50=91', '19-13=6']
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
59,
66,
54,
8
] | 69 | [
"66-59=7",
"54+8=62",
"7+62=69"
] | Current State: 69:[59, 66, 54, 8], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [54, 8, 7]
Generated Node #2: [54, 8, 7] from Operation: 66-59=7
Current State: 69:[54, 8, 7], Operations: ['66-59=7']
Exploring Operation: 54+8=62, Resulting Numbers: [7, 62]
Generated Node #3: [7, 62] from Operation: 54+8=62
Current State: 69:[7, 62], Operations: ['66-59=7', '54+8=62']
Exploring Operation: 7+62=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
39,
68,
47,
73
] | 13 | [
"39+68=107",
"47+73=120",
"120-107=13"
] | Current State: 13:[39, 68, 47, 73], Operations: []
Exploring Operation: 39+68=107, Resulting Numbers: [47, 73, 107]
Generated Node #2: [47, 73, 107] from Operation: 39+68=107
Current State: 13:[47, 73, 107], Operations: ['39+68=107']
Exploring Operation: 47+73=120, Resulting Numbers: [107, 120]
Generated Node #3: [107, 120] from Operation: 47+73=120
Current State: 13:[107, 120], Operations: ['39+68=107', '47+73=120']
Exploring Operation: 120-107=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
12,
84,
88,
77
] | 99 | [
"84/12=7",
"77/7=11",
"88+11=99"
] | Current State: 99:[12, 84, 88, 77], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [88, 77, 7]
Generated Node #2: [88, 77, 7] from Operation: 84/12=7
Current State: 99:[88, 77, 7], Operations: ['84/12=7']
Exploring Operation: 77/7=11, Resulting Numbers: [88, 11]
Generated Node #3: [88, 11] from Operation: 77/7=11
Current State: 99:[88, 11], Operations: ['84/12=7', '77/7=11']
Exploring Operation: 88+11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
75,
80,
9,
6
] | 85 | [
"9+6=15",
"75/15=5",
"80+5=85"
] | Current State: 85:[75, 80, 9, 6], Operations: []
Exploring Operation: 9+6=15, Resulting Numbers: [75, 80, 15]
Generated Node #2: [75, 80, 15] from Operation: 9+6=15
Current State: 85:[75, 80, 15], Operations: ['9+6=15']
Exploring Operation: 75/15=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 75/15=5
Current State: 85:[80, 5], Operations: ['9+6=15', '75/15=5']
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
11,
32,
2,
40
] | 50 | [
"11*2=22",
"32+40=72",
"72-22=50"
] | Current State: 50:[11, 32, 2, 40], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [32, 40, 22]
Generated Node #2: [32, 40, 22] from Operation: 11*2=22
Current State: 50:[32, 40, 22], Operations: ['11*2=22']
Exploring Operation: 32+40=72, Resulting Numbers: [22, 72]
Generated Node #3: [22, 72] from Operation: 32+40=72
Current State: 50:[22, 72], Operations: ['11*2=22', '32+40=72']
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
12,
20,
33,
59
] | 60 | [
"12+20=32",
"33+59=92",
"92-32=60"
] | Current State: 60:[12, 20, 33, 59], Operations: []
Exploring Operation: 12+20=32, Resulting Numbers: [33, 59, 32]
Generated Node #2: [33, 59, 32] from Operation: 12+20=32
Current State: 60:[33, 59, 32], Operations: ['12+20=32']
Exploring Operation: 33+59=92, Resulting Numbers: [32, 92]
Generated Node #3: [32, 92] from Operation: 33+59=92
Current State: 60:[32, 92], Operations: ['12+20=32', '33+59=92']
Exploring Operation: 92-32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
47,
81,
6,
1
] | 41 | [
"81-47=34",
"6+1=7",
"34+7=41"
] | Current State: 41:[47, 81, 6, 1], Operations: []
Exploring Operation: 81-47=34, Resulting Numbers: [6, 1, 34]
Generated Node #2: [6, 1, 34] from Operation: 81-47=34
Current State: 41:[6, 1, 34], Operations: ['81-47=34']
Exploring Operation: 6+1=7, Resulting Numbers: [34, 7]
Generated Node #3: [34, 7] from Operation: 6+1=7
Current State: 41:[34, 7], Operations: ['81-47=34', '6+1=7']
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
85,
70,
82,
68
] | 15 | [
"82-70=12",
"85*12=1020",
"1020/68=15"
] | Current State: 15:[85, 70, 82, 68], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [85, 68, 12]
Generated Node #2: [85, 68, 12] from Operation: 82-70=12
Current State: 15:[85, 68, 12], Operations: ['82-70=12']
Exploring Operation: 85*12=1020, Resulting Numbers: [68, 1020]
Generated Node #3: [68, 1020] from Operation: 85*12=1020
Current State: 15:[68, 1020], Operations: ['82-70=12', '85*12=1020']
Exploring Operation: 1020/68=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
55,
1,
36,
38
] | 18 | [
"55+1=56",
"36+38=74",
"74-56=18"
] | Current State: 18:[55, 1, 36, 38], Operations: []
Exploring Operation: 55+1=56, Resulting Numbers: [36, 38, 56]
Generated Node #2: [36, 38, 56] from Operation: 55+1=56
Current State: 18:[36, 38, 56], Operations: ['55+1=56']
Exploring Operation: 36+38=74, Resulting Numbers: [56, 74]
Generated Node #3: [56, 74] from Operation: 36+38=74
Current State: 18:[56, 74], Operations: ['55+1=56', '36+38=74']
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
21,
51,
3,
12
] | 29 | [
"51*12=612",
"612-3=609",
"609/21=29"
] | Current State: 29:[21, 51, 3, 12], Operations: []
Exploring Operation: 51*12=612, Resulting Numbers: [21, 3, 612]
Generated Node #2: [21, 3, 612] from Operation: 51*12=612
Current State: 29:[21, 3, 612], Operations: ['51*12=612']
Exploring Operation: 612-3=609, Resulting Numbers: [21, 609]
Generated Node #3: [21, 609] from Operation: 612-3=609
Current State: 29:[21, 609], Operations: ['51*12=612', '612-3=609']
Exploring Operation: 609/21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
24,
66,
9,
90
] | 32 | [
"66-24=42",
"90/9=10",
"42-10=32"
] | Current State: 32:[24, 66, 9, 90], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [9, 90, 42]
Generated Node #2: [9, 90, 42] from Operation: 66-24=42
Current State: 32:[9, 90, 42], Operations: ['66-24=42']
Exploring Operation: 90/9=10, Resulting Numbers: [42, 10]
Generated Node #3: [42, 10] from Operation: 90/9=10
Current State: 32:[42, 10], Operations: ['66-24=42', '90/9=10']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
51,
90,
36
] | 93 | [
"2*90=180",
"51+36=87",
"180-87=93"
] | Current State: 93:[2, 51, 90, 36], Operations: []
Exploring Operation: 2*90=180, Resulting Numbers: [51, 36, 180]
Generated Node #2: [51, 36, 180] from Operation: 2*90=180
Current State: 93:[51, 36, 180], Operations: ['2*90=180']
Exploring Operation: 51+36=87, Resulting Numbers: [180, 87]
Generated Node #3: [180, 87] from Operation: 51+36=87
Current State: 93:[180, 87], Operations: ['2*90=180', '51+36=87']
Exploring Operation: 180-87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
68,
34,
41,
35
] | 41 | [
"68-34=34",
"35-34=1",
"41*1=41"
] | Current State: 41:[68, 34, 41, 35], Operations: []
Exploring Operation: 68-34=34, Resulting Numbers: [41, 35, 34]
Generated Node #2: [41, 35, 34] from Operation: 68-34=34
Current State: 41:[41, 35, 34], Operations: ['68-34=34']
Exploring Operation: 35-34=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 35-34=1
Current State: 41:[41, 1], Operations: ['68-34=34', '35-34=1']
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
7,
18,
79,
3
] | 51 | [
"7+18=25",
"79-3=76",
"76-25=51"
] | Current State: 51:[7, 18, 79, 3], Operations: []
Exploring Operation: 7+18=25, Resulting Numbers: [79, 3, 25]
Generated Node #2: [79, 3, 25] from Operation: 7+18=25
Current State: 51:[79, 3, 25], Operations: ['7+18=25']
Exploring Operation: 79-3=76, Resulting Numbers: [25, 76]
Generated Node #3: [25, 76] from Operation: 79-3=76
Current State: 51:[25, 76], Operations: ['7+18=25', '79-3=76']
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
13,
45,
13,
40
] | 84 | [
"13*13=169",
"45+40=85",
"169-85=84"
] | Current State: 84:[13, 45, 13, 40], Operations: []
Exploring Operation: 13*13=169, Resulting Numbers: [45, 40, 169]
Generated Node #2: [45, 40, 169] from Operation: 13*13=169
Current State: 84:[45, 40, 169], Operations: ['13*13=169']
Exploring Operation: 45+40=85, Resulting Numbers: [169, 85]
Generated Node #3: [169, 85] from Operation: 45+40=85
Current State: 84:[169, 85], Operations: ['13*13=169', '45+40=85']
Exploring Operation: 169-85=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
35,
56,
20,
22
] | 90 | [
"35*56=1960",
"20+1960=1980",
"1980/22=90"
] | Current State: 90:[35, 56, 20, 22], Operations: []
Exploring Operation: 35*56=1960, Resulting Numbers: [20, 22, 1960]
Generated Node #2: [20, 22, 1960] from Operation: 35*56=1960
Current State: 90:[20, 22, 1960], Operations: ['35*56=1960']
Exploring Operation: 20+1960=1980, Resulting Numbers: [22, 1980]
Generated Node #3: [22, 1980] from Operation: 20+1960=1980
Current State: 90:[22, 1980], Operations: ['35*56=1960', '20+1960=1980']
Exploring Operation: 1980/22=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
78,
76,
64,
2
] | 30 | [
"78-76=2",
"64/2=32",
"32-2=30"
] | Current State: 30:[78, 76, 64, 2], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [64, 2, 2]
Generated Node #2: [64, 2, 2] from Operation: 78-76=2
Current State: 30:[64, 2, 2], Operations: ['78-76=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,30 equal: Goal Reached
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
10,
3,
67,
53
] | 46 | [
"10+53=63",
"63/3=21",
"67-21=46"
] | Current State: 46:[10, 3, 67, 53], Operations: []
Exploring Operation: 10+53=63, Resulting Numbers: [3, 67, 63]
Generated Node #2: [3, 67, 63] from Operation: 10+53=63
Current State: 46:[3, 67, 63], Operations: ['10+53=63']
Exploring Operation: 63/3=21, Resulting Numbers: [67, 21]
Generated Node #3: [67, 21] from Operation: 63/3=21
Current State: 46:[67, 21], Operations: ['10+53=63', '63/3=21']
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
95,
31,
62,
91
] | 34 | [
"95+91=186",
"186/62=3",
"31+3=34"
] | Current State: 34:[95, 31, 62, 91], Operations: []
Exploring Operation: 95+91=186, Resulting Numbers: [31, 62, 186]
Generated Node #2: [31, 62, 186] from Operation: 95+91=186
Current State: 34:[31, 62, 186], Operations: ['95+91=186']
Exploring Operation: 186/62=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 186/62=3
Current State: 34:[31, 3], Operations: ['95+91=186', '186/62=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
69,
46,
42,
45
] | 12 | [
"46*45=2070",
"2070/69=30",
"42-30=12"
] | Current State: 12:[69, 46, 42, 45], Operations: []
Exploring Operation: 46*45=2070, Resulting Numbers: [69, 42, 2070]
Generated Node #2: [69, 42, 2070] from Operation: 46*45=2070
Current State: 12:[69, 42, 2070], Operations: ['46*45=2070']
Exploring Operation: 2070/69=30, Resulting Numbers: [42, 30]
Generated Node #3: [42, 30] from Operation: 2070/69=30
Current State: 12:[42, 30], Operations: ['46*45=2070', '2070/69=30']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
48,
10,
6,
61
] | 49 | [
"48+61=109",
"10*6=60",
"109-60=49"
] | Current State: 49:[48, 10, 6, 61], Operations: []
Exploring Operation: 48+61=109, Resulting Numbers: [10, 6, 109]
Generated Node #2: [10, 6, 109] from Operation: 48+61=109
Current State: 49:[10, 6, 109], Operations: ['48+61=109']
Exploring Operation: 10*6=60, Resulting Numbers: [109, 60]
Generated Node #3: [109, 60] from Operation: 10*6=60
Current State: 49:[109, 60], Operations: ['48+61=109', '10*6=60']
Exploring Operation: 109-60=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
38,
34,
71,
52
] | 68 | [
"38*34=1292",
"71-52=19",
"1292/19=68"
] | Current State: 68:[38, 34, 71, 52], Operations: []
Exploring Operation: 38*34=1292, Resulting Numbers: [71, 52, 1292]
Generated Node #2: [71, 52, 1292] from Operation: 38*34=1292
Current State: 68:[71, 52, 1292], Operations: ['38*34=1292']
Exploring Operation: 71-52=19, Resulting Numbers: [1292, 19]
Generated Node #3: [1292, 19] from Operation: 71-52=19
Current State: 68:[1292, 19], Operations: ['38*34=1292', '71-52=19']
Exploring Operation: 1292/19=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
15,
44,
7,
24
] | 28 | [
"15+44=59",
"7+24=31",
"59-31=28"
] | Current State: 28:[15, 44, 7, 24], Operations: []
Exploring Operation: 15+44=59, Resulting Numbers: [7, 24, 59]
Generated Node #2: [7, 24, 59] from Operation: 15+44=59
Current State: 28:[7, 24, 59], Operations: ['15+44=59']
Exploring Operation: 7+24=31, Resulting Numbers: [59, 31]
Generated Node #3: [59, 31] from Operation: 7+24=31
Current State: 28:[59, 31], Operations: ['15+44=59', '7+24=31']
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
3,
57,
70,
48
] | 97 | [
"57-48=9",
"3*9=27",
"70+27=97"
] | Current State: 97:[3, 57, 70, 48], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [3, 70, 9]
Generated Node #2: [3, 70, 9] from Operation: 57-48=9
Current State: 97:[3, 70, 9], Operations: ['57-48=9']
Exploring Operation: 3*9=27, Resulting Numbers: [70, 27]
Generated Node #3: [70, 27] from Operation: 3*9=27
Current State: 97:[70, 27], Operations: ['57-48=9', '3*9=27']
Exploring Operation: 70+27=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
86,
89,
22,
67
] | 48 | [
"89-86=3",
"67-22=45",
"3+45=48"
] | Current State: 48:[86, 89, 22, 67], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [22, 67, 3]
Generated Node #2: [22, 67, 3] from Operation: 89-86=3
Current State: 48:[22, 67, 3], Operations: ['89-86=3']
Exploring Operation: 67-22=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 67-22=45
Current State: 48:[3, 45], Operations: ['89-86=3', '67-22=45']
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
54,
83,
22,
4
] | 59 | [
"83-54=29",
"22*4=88",
"88-29=59"
] | Current State: 59:[54, 83, 22, 4], Operations: []
Exploring Operation: 83-54=29, Resulting Numbers: [22, 4, 29]
Generated Node #2: [22, 4, 29] from Operation: 83-54=29
Current State: 59:[22, 4, 29], Operations: ['83-54=29']
Exploring Operation: 22*4=88, Resulting Numbers: [29, 88]
Generated Node #3: [29, 88] from Operation: 22*4=88
Current State: 59:[29, 88], Operations: ['83-54=29', '22*4=88']
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
19,
63,
89,
15
] | 60 | [
"63-19=44",
"89+15=104",
"104-44=60"
] | Current State: 60:[19, 63, 89, 15], Operations: []
Exploring Operation: 63-19=44, Resulting Numbers: [89, 15, 44]
Generated Node #2: [89, 15, 44] from Operation: 63-19=44
Current State: 60:[89, 15, 44], Operations: ['63-19=44']
Exploring Operation: 89+15=104, Resulting Numbers: [44, 104]
Generated Node #3: [44, 104] from Operation: 89+15=104
Current State: 60:[44, 104], Operations: ['63-19=44', '89+15=104']
Exploring Operation: 104-44=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
36,
1,
47,
69
] | 57 | [
"36-1=35",
"69-47=22",
"35+22=57"
] | Current State: 57:[36, 1, 47, 69], Operations: []
Exploring Operation: 36-1=35, Resulting Numbers: [47, 69, 35]
Generated Node #2: [47, 69, 35] from Operation: 36-1=35
Current State: 57:[47, 69, 35], Operations: ['36-1=35']
Exploring Operation: 69-47=22, Resulting Numbers: [35, 22]
Generated Node #3: [35, 22] from Operation: 69-47=22
Current State: 57:[35, 22], Operations: ['36-1=35', '69-47=22']
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
22,
46,
93,
17
] | 86 | [
"46-22=24",
"93+17=110",
"110-24=86"
] | Current State: 86:[22, 46, 93, 17], Operations: []
Exploring Operation: 46-22=24, Resulting Numbers: [93, 17, 24]
Generated Node #2: [93, 17, 24] from Operation: 46-22=24
Current State: 86:[93, 17, 24], Operations: ['46-22=24']
Exploring Operation: 93+17=110, Resulting Numbers: [24, 110]
Generated Node #3: [24, 110] from Operation: 93+17=110
Current State: 86:[24, 110], Operations: ['46-22=24', '93+17=110']
Exploring Operation: 110-24=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
87,
12,
12,
13
] | 81 | [
"87-12=75",
"12*13=156",
"156-75=81"
] | Current State: 81:[87, 12, 12, 13], Operations: []
Exploring Operation: 87-12=75, Resulting Numbers: [13, 75]
Generated Node #2: [13, 75] from Operation: 87-12=75
Current State: 81:[13, 75], Operations: ['87-12=75']
Exploring Operation: 12*13=156, Resulting Numbers: [75, 156]
Generated Node #3: [75, 156] from Operation: 12*13=156
Current State: 81:[75, 156], Operations: ['87-12=75', '12*13=156']
Exploring Operation: 156-75=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
32,
13,
57
] | 91 | [
"2*32=64",
"64-57=7",
"13*7=91"
] | Current State: 91:[2, 32, 13, 57], Operations: []
Exploring Operation: 2*32=64, Resulting Numbers: [13, 57, 64]
Generated Node #2: [13, 57, 64] from Operation: 2*32=64
Current State: 91:[13, 57, 64], Operations: ['2*32=64']
Exploring Operation: 64-57=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 64-57=7
Current State: 91:[13, 7], Operations: ['2*32=64', '64-57=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
44,
25,
39,
1
] | 100 | [
"44-39=5",
"5-1=4",
"25*4=100"
] | Current State: 100:[44, 25, 39, 1], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [25, 1, 5]
Generated Node #2: [25, 1, 5] from Operation: 44-39=5
Current State: 100:[25, 1, 5], Operations: ['44-39=5']
Exploring Operation: 5-1=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 5-1=4
Current State: 100:[25, 4], Operations: ['44-39=5', '5-1=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
25,
2,
39,
50
] | 22 | [
"39-25=14",
"2*14=28",
"50-28=22"
] | Current State: 22:[25, 2, 39, 50], Operations: []
Exploring Operation: 39-25=14, Resulting Numbers: [2, 50, 14]
Generated Node #2: [2, 50, 14] from Operation: 39-25=14
Current State: 22:[2, 50, 14], Operations: ['39-25=14']
Exploring Operation: 2*14=28, Resulting Numbers: [50, 28]
Generated Node #3: [50, 28] from Operation: 2*14=28
Current State: 22:[50, 28], Operations: ['39-25=14', '2*14=28']
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
19,
33,
76,
36
] | 60 | [
"19+33=52",
"76+36=112",
"112-52=60"
] | Current State: 60:[19, 33, 76, 36], Operations: []
Exploring Operation: 19+33=52, Resulting Numbers: [76, 36, 52]
Generated Node #2: [76, 36, 52] from Operation: 19+33=52
Current State: 60:[76, 36, 52], Operations: ['19+33=52']
Exploring Operation: 76+36=112, Resulting Numbers: [52, 112]
Generated Node #3: [52, 112] from Operation: 76+36=112
Current State: 60:[52, 112], Operations: ['19+33=52', '76+36=112']
Exploring Operation: 112-52=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
45,
36,
64,
23
] | 78 | [
"45-36=9",
"64+23=87",
"87-9=78"
] | Current State: 78:[45, 36, 64, 23], Operations: []
Exploring Operation: 45-36=9, Resulting Numbers: [64, 23, 9]
Generated Node #2: [64, 23, 9] from Operation: 45-36=9
Current State: 78:[64, 23, 9], Operations: ['45-36=9']
Exploring Operation: 64+23=87, Resulting Numbers: [9, 87]
Generated Node #3: [9, 87] from Operation: 64+23=87
Current State: 78:[9, 87], Operations: ['45-36=9', '64+23=87']
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
35,
16,
89,
6
] | 18 | [
"35-16=19",
"89+19=108",
"108/6=18"
] | Current State: 18:[35, 16, 89, 6], Operations: []
Exploring Operation: 35-16=19, Resulting Numbers: [89, 6, 19]
Generated Node #2: [89, 6, 19] from Operation: 35-16=19
Current State: 18:[89, 6, 19], Operations: ['35-16=19']
Exploring Operation: 89+19=108, Resulting Numbers: [6, 108]
Generated Node #3: [6, 108] from Operation: 89+19=108
Current State: 18:[6, 108], Operations: ['35-16=19', '89+19=108']
Exploring Operation: 108/6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
4,
8,
57,
18
] | 51 | [
"4+8=12",
"57-18=39",
"12+39=51"
] | Current State: 51:[4, 8, 57, 18], Operations: []
Exploring Operation: 4+8=12, Resulting Numbers: [57, 18, 12]
Generated Node #2: [57, 18, 12] from Operation: 4+8=12
Current State: 51:[57, 18, 12], Operations: ['4+8=12']
Exploring Operation: 57-18=39, Resulting Numbers: [12, 39]
Generated Node #3: [12, 39] from Operation: 57-18=39
Current State: 51:[12, 39], Operations: ['4+8=12', '57-18=39']
Exploring Operation: 12+39=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
1,
97,
4,
39
] | 34 | [
"1*97=97",
"39+97=136",
"136/4=34"
] | Current State: 34:[1, 97, 4, 39], Operations: []
Exploring Operation: 1*97=97, Resulting Numbers: [4, 39, 97]
Generated Node #2: [4, 39, 97] from Operation: 1*97=97
Current State: 34:[4, 39, 97], Operations: ['1*97=97']
Exploring Operation: 39+97=136, Resulting Numbers: [4, 136]
Generated Node #3: [4, 136] from Operation: 39+97=136
Current State: 34:[4, 136], Operations: ['1*97=97', '39+97=136']
Exploring Operation: 136/4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
90,
25,
58,
36
] | 48 | [
"25*36=900",
"900/90=10",
"58-10=48"
] | Current State: 48:[90, 25, 58, 36], Operations: []
Exploring Operation: 25*36=900, Resulting Numbers: [90, 58, 900]
Generated Node #2: [90, 58, 900] from Operation: 25*36=900
Current State: 48:[90, 58, 900], Operations: ['25*36=900']
Exploring Operation: 900/90=10, Resulting Numbers: [58, 10]
Generated Node #3: [58, 10] from Operation: 900/90=10
Current State: 48:[58, 10], Operations: ['25*36=900', '900/90=10']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
37,
53,
43,
41
] | 68 | [
"53-37=16",
"43+41=84",
"84-16=68"
] | Current State: 68:[37, 53, 43, 41], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [43, 41, 16]
Generated Node #2: [43, 41, 16] from Operation: 53-37=16
Current State: 68:[43, 41, 16], Operations: ['53-37=16']
Exploring Operation: 43+41=84, Resulting Numbers: [16, 84]
Generated Node #3: [16, 84] from Operation: 43+41=84
Current State: 68:[16, 84], Operations: ['53-37=16', '43+41=84']
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
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