nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
73,
72,
70,
42
] | 86 | [
"73-70=3",
"42/3=14",
"72+14=86"
] | Current State: 86:[73, 72, 70, 42], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [72, 42, 3]
Generated Node #2: [72, 42, 3] from Operation: 73-70=3
Current State: 86:[72, 42, 3], Operations: ['73-70=3']
Exploring Operation: 42/3=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 42/3=14
Current State: 86:[72, 14], Operations: ['73-70=3', '42/3=14']
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
23,
37,
96,
97
] | 94 | [
"97-23=74",
"74/37=2",
"96-2=94"
] | Current State: 94:[23, 37, 96, 97], Operations: []
Exploring Operation: 97-23=74, Resulting Numbers: [37, 96, 74]
Generated Node #2: [37, 96, 74] from Operation: 97-23=74
Current State: 94:[37, 96, 74], Operations: ['97-23=74']
Exploring Operation: 74/37=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 74/37=2
Current State: 94:[96, 2], Operations: ['97-23=74', '74/37=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
6,
2,
78,
34
] | 70 | [
"78-6=72",
"72/2=36",
"34+36=70"
] | Current State: 70:[6, 2, 78, 34], Operations: []
Exploring Operation: 78-6=72, Resulting Numbers: [2, 34, 72]
Generated Node #2: [2, 34, 72] from Operation: 78-6=72
Current State: 70:[2, 34, 72], Operations: ['78-6=72']
Exploring Operation: 72/2=36, Resulting Numbers: [34, 36]
Generated Node #3: [34, 36] from Operation: 72/2=36
Current State: 70:[34, 36], Operations: ['78-6=72', '72/2=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
28,
26,
70,
45
] | 27 | [
"28-26=2",
"70-45=25",
"2+25=27"
] | Current State: 27:[28, 26, 70, 45], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [70, 45, 2]
Generated Node #2: [70, 45, 2] from Operation: 28-26=2
Current State: 27:[70, 45, 2], Operations: ['28-26=2']
Exploring Operation: 70-45=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 70-45=25
Current State: 27:[2, 25], Operations: ['28-26=2', '70-45=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
10,
27,
6,
13
] | 30 | [
"10+27=37",
"13-6=7",
"37-7=30"
] | Current State: 30:[10, 27, 6, 13], Operations: []
Exploring Operation: 10+27=37, Resulting Numbers: [6, 13, 37]
Generated Node #2: [6, 13, 37] from Operation: 10+27=37
Current State: 30:[6, 13, 37], Operations: ['10+27=37']
Exploring Operation: 13-6=7, Resulting Numbers: [37, 7]
Generated Node #3: [37, 7] from Operation: 13-6=7
Current State: 30:[37, 7], Operations: ['10+27=37', '13-6=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
44,
26,
3,
48
] | 92 | [
"48-44=4",
"26-3=23",
"4*23=92"
] | Current State: 92:[44, 26, 3, 48], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [26, 3, 4]
Generated Node #2: [26, 3, 4] from Operation: 48-44=4
Current State: 92:[26, 3, 4], Operations: ['48-44=4']
Exploring Operation: 26-3=23, Resulting Numbers: [4, 23]
Generated Node #3: [4, 23] from Operation: 26-3=23
Current State: 92:[4, 23], Operations: ['48-44=4', '26-3=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
82,
37,
8,
68
] | 31 | [
"82-37=45",
"8+68=76",
"76-45=31"
] | Current State: 31:[82, 37, 8, 68], Operations: []
Exploring Operation: 82-37=45, Resulting Numbers: [8, 68, 45]
Generated Node #2: [8, 68, 45] from Operation: 82-37=45
Current State: 31:[8, 68, 45], Operations: ['82-37=45']
Exploring Operation: 8+68=76, Resulting Numbers: [45, 76]
Generated Node #3: [45, 76] from Operation: 8+68=76
Current State: 31:[45, 76], Operations: ['82-37=45', '8+68=76']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
2,
73,
86
] | 21 | [
"86-60=26",
"2*26=52",
"73-52=21"
] | Current State: 21:[60, 2, 73, 86], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [2, 73, 26]
Generated Node #2: [2, 73, 26] from Operation: 86-60=26
Current State: 21:[2, 73, 26], Operations: ['86-60=26']
Exploring Operation: 2*26=52, Resulting Numbers: [73, 52]
Generated Node #3: [73, 52] from Operation: 2*26=52
Current State: 21:[73, 52], Operations: ['86-60=26', '2*26=52']
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
57,
7,
82,
29
] | 64 | [
"57+82=139",
"7*29=203",
"203-139=64"
] | Current State: 64:[57, 7, 82, 29], Operations: []
Exploring Operation: 57+82=139, Resulting Numbers: [7, 29, 139]
Generated Node #2: [7, 29, 139] from Operation: 57+82=139
Current State: 64:[7, 29, 139], Operations: ['57+82=139']
Exploring Operation: 7*29=203, Resulting Numbers: [139, 203]
Generated Node #3: [139, 203] from Operation: 7*29=203
Current State: 64:[139, 203], Operations: ['57+82=139', '7*29=203']
Exploring Operation: 203-139=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
10,
2,
47,
46
] | 19 | [
"10*2=20",
"47-46=1",
"20-1=19"
] | Current State: 19:[10, 2, 47, 46], Operations: []
Exploring Operation: 10*2=20, Resulting Numbers: [47, 46, 20]
Generated Node #2: [47, 46, 20] from Operation: 10*2=20
Current State: 19:[47, 46, 20], Operations: ['10*2=20']
Exploring Operation: 47-46=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 47-46=1
Current State: 19:[20, 1], Operations: ['10*2=20', '47-46=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
13,
56,
33,
8
] | 81 | [
"13*8=104",
"56-33=23",
"104-23=81"
] | Current State: 81:[13, 56, 33, 8], Operations: []
Exploring Operation: 13*8=104, Resulting Numbers: [56, 33, 104]
Generated Node #2: [56, 33, 104] from Operation: 13*8=104
Current State: 81:[56, 33, 104], Operations: ['13*8=104']
Exploring Operation: 56-33=23, Resulting Numbers: [104, 23]
Generated Node #3: [104, 23] from Operation: 56-33=23
Current State: 81:[104, 23], Operations: ['13*8=104', '56-33=23']
Exploring Operation: 104-23=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
33,
80,
37,
84
] | 66 | [
"33+80=113",
"84-37=47",
"113-47=66"
] | Current State: 66:[33, 80, 37, 84], Operations: []
Exploring Operation: 33+80=113, Resulting Numbers: [37, 84, 113]
Generated Node #2: [37, 84, 113] from Operation: 33+80=113
Current State: 66:[37, 84, 113], Operations: ['33+80=113']
Exploring Operation: 84-37=47, Resulting Numbers: [113, 47]
Generated Node #3: [113, 47] from Operation: 84-37=47
Current State: 66:[113, 47], Operations: ['33+80=113', '84-37=47']
Exploring Operation: 113-47=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
48,
24,
59,
65
] | 52 | [
"48+24=72",
"59+65=124",
"124-72=52"
] | Current State: 52:[48, 24, 59, 65], Operations: []
Exploring Operation: 48+24=72, Resulting Numbers: [59, 65, 72]
Generated Node #2: [59, 65, 72] from Operation: 48+24=72
Current State: 52:[59, 65, 72], Operations: ['48+24=72']
Exploring Operation: 59+65=124, Resulting Numbers: [72, 124]
Generated Node #3: [72, 124] from Operation: 59+65=124
Current State: 52:[72, 124], Operations: ['48+24=72', '59+65=124']
Exploring Operation: 124-72=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
48,
31,
38,
47
] | 69 | [
"48-47=1",
"31+38=69",
"1*69=69"
] | Current State: 69:[48, 31, 38, 47], Operations: []
Exploring Operation: 48-47=1, Resulting Numbers: [31, 38, 1]
Generated Node #2: [31, 38, 1] from Operation: 48-47=1
Current State: 69:[31, 38, 1], Operations: ['48-47=1']
Exploring Operation: 31+38=69, Resulting Numbers: [1, 69]
Generated Node #3: [1, 69] from Operation: 31+38=69
Current State: 69:[1, 69], Operations: ['48-47=1', '31+38=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
74,
13,
23,
48
] | 36 | [
"74-13=61",
"48-23=25",
"61-25=36"
] | Current State: 36:[74, 13, 23, 48], Operations: []
Exploring Operation: 74-13=61, Resulting Numbers: [23, 48, 61]
Generated Node #2: [23, 48, 61] from Operation: 74-13=61
Current State: 36:[23, 48, 61], Operations: ['74-13=61']
Exploring Operation: 48-23=25, Resulting Numbers: [61, 25]
Generated Node #3: [61, 25] from Operation: 48-23=25
Current State: 36:[61, 25], Operations: ['74-13=61', '48-23=25']
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
19,
98,
22,
4
] | 80 | [
"19*22=418",
"418-98=320",
"320/4=80"
] | Current State: 80:[19, 98, 22, 4], Operations: []
Exploring Operation: 19*22=418, Resulting Numbers: [98, 4, 418]
Generated Node #2: [98, 4, 418] from Operation: 19*22=418
Current State: 80:[98, 4, 418], Operations: ['19*22=418']
Exploring Operation: 418-98=320, Resulting Numbers: [4, 320]
Generated Node #3: [4, 320] from Operation: 418-98=320
Current State: 80:[4, 320], Operations: ['19*22=418', '418-98=320']
Exploring Operation: 320/4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
31,
30,
56,
8
] | 65 | [
"31-30=1",
"56+8=64",
"1+64=65"
] | Current State: 65:[31, 30, 56, 8], Operations: []
Exploring Operation: 31-30=1, Resulting Numbers: [56, 8, 1]
Generated Node #2: [56, 8, 1] from Operation: 31-30=1
Current State: 65:[56, 8, 1], Operations: ['31-30=1']
Exploring Operation: 56+8=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 56+8=64
Current State: 65:[1, 64], Operations: ['31-30=1', '56+8=64']
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
54,
8,
2,
9
] | 52 | [
"54-2=52",
"9-8=1",
"52*1=52"
] | Current State: 52:[54, 8, 2, 9], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [8, 9, 52]
Generated Node #2: [8, 9, 52] from Operation: 54-2=52
Current State: 52:[8, 9, 52], Operations: ['54-2=52']
Exploring Operation: 9-8=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 9-8=1
Current State: 52:[52, 1], Operations: ['54-2=52', '9-8=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
43,
87,
53,
40
] | 37 | [
"43+87=130",
"53+40=93",
"130-93=37"
] | Current State: 37:[43, 87, 53, 40], Operations: []
Exploring Operation: 43+87=130, Resulting Numbers: [53, 40, 130]
Generated Node #2: [53, 40, 130] from Operation: 43+87=130
Current State: 37:[53, 40, 130], Operations: ['43+87=130']
Exploring Operation: 53+40=93, Resulting Numbers: [130, 93]
Generated Node #3: [130, 93] from Operation: 53+40=93
Current State: 37:[130, 93], Operations: ['43+87=130', '53+40=93']
Exploring Operation: 130-93=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
10,
99,
76,
54
] | 41 | [
"99-10=89",
"76+54=130",
"130-89=41"
] | Current State: 41:[10, 99, 76, 54], Operations: []
Exploring Operation: 99-10=89, Resulting Numbers: [76, 54, 89]
Generated Node #2: [76, 54, 89] from Operation: 99-10=89
Current State: 41:[76, 54, 89], Operations: ['99-10=89']
Exploring Operation: 76+54=130, Resulting Numbers: [89, 130]
Generated Node #3: [89, 130] from Operation: 76+54=130
Current State: 41:[89, 130], Operations: ['99-10=89', '76+54=130']
Exploring Operation: 130-89=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
75,
76,
34,
5
] | 53 | [
"76+34=110",
"110/5=22",
"75-22=53"
] | Current State: 53:[75, 76, 34, 5], Operations: []
Exploring Operation: 76+34=110, Resulting Numbers: [75, 5, 110]
Generated Node #2: [75, 5, 110] from Operation: 76+34=110
Current State: 53:[75, 5, 110], Operations: ['76+34=110']
Exploring Operation: 110/5=22, Resulting Numbers: [75, 22]
Generated Node #3: [75, 22] from Operation: 110/5=22
Current State: 53:[75, 22], Operations: ['76+34=110', '110/5=22']
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
16,
97,
10
] | 84 | [
"16+10=26",
"26/2=13",
"97-13=84"
] | Current State: 84:[2, 16, 97, 10], Operations: []
Exploring Operation: 16+10=26, Resulting Numbers: [2, 97, 26]
Generated Node #2: [2, 97, 26] from Operation: 16+10=26
Current State: 84:[2, 97, 26], Operations: ['16+10=26']
Exploring Operation: 26/2=13, Resulting Numbers: [97, 13]
Generated Node #3: [97, 13] from Operation: 26/2=13
Current State: 84:[97, 13], Operations: ['16+10=26', '26/2=13']
Exploring Operation: 97-13=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
81,
30,
11,
43
] | 20 | [
"11+43=54",
"30*54=1620",
"1620/81=20"
] | Current State: 20:[81, 30, 11, 43], Operations: []
Exploring Operation: 11+43=54, Resulting Numbers: [81, 30, 54]
Generated Node #2: [81, 30, 54] from Operation: 11+43=54
Current State: 20:[81, 30, 54], Operations: ['11+43=54']
Exploring Operation: 30*54=1620, Resulting Numbers: [81, 1620]
Generated Node #3: [81, 1620] from Operation: 30*54=1620
Current State: 20:[81, 1620], Operations: ['11+43=54', '30*54=1620']
Exploring Operation: 1620/81=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
24,
58,
22,
30
] | 30 | [
"24+58=82",
"22+30=52",
"82-52=30"
] | Current State: 30:[24, 58, 22, 30], Operations: []
Exploring Operation: 24+58=82, Resulting Numbers: [22, 30, 82]
Generated Node #2: [22, 30, 82] from Operation: 24+58=82
Current State: 30:[22, 30, 82], Operations: ['24+58=82']
Exploring Operation: 22+30=52, Resulting Numbers: [82, 52]
Generated Node #3: [82, 52] from Operation: 22+30=52
Current State: 30:[82, 52], Operations: ['24+58=82', '22+30=52']
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
34,
11,
75,
51
] | 81 | [
"34+11=45",
"75+51=126",
"126-45=81"
] | Current State: 81:[34, 11, 75, 51], Operations: []
Exploring Operation: 34+11=45, Resulting Numbers: [75, 51, 45]
Generated Node #2: [75, 51, 45] from Operation: 34+11=45
Current State: 81:[75, 51, 45], Operations: ['34+11=45']
Exploring Operation: 75+51=126, Resulting Numbers: [45, 126]
Generated Node #3: [45, 126] from Operation: 75+51=126
Current State: 81:[45, 126], Operations: ['34+11=45', '75+51=126']
Exploring Operation: 126-45=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
59,
64,
90,
37
] | 48 | [
"64-59=5",
"90-37=53",
"53-5=48"
] | Current State: 48:[59, 64, 90, 37], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [90, 37, 5]
Generated Node #2: [90, 37, 5] from Operation: 64-59=5
Current State: 48:[90, 37, 5], Operations: ['64-59=5']
Exploring Operation: 90-37=53, Resulting Numbers: [5, 53]
Generated Node #3: [5, 53] from Operation: 90-37=53
Current State: 48:[5, 53], Operations: ['64-59=5', '90-37=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
10,
6,
97,
94
] | 42 | [
"97-10=87",
"94-87=7",
"6*7=42"
] | Current State: 42:[10, 6, 97, 94], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [6, 94, 87]
Generated Node #2: [6, 94, 87] from Operation: 97-10=87
Current State: 42:[6, 94, 87], Operations: ['97-10=87']
Exploring Operation: 94-87=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 94-87=7
Current State: 42:[6, 7], Operations: ['97-10=87', '94-87=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
15,
5,
13,
93
] | 18 | [
"15/5=3",
"93/3=31",
"31-13=18"
] | Current State: 18:[15, 5, 13, 93], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [13, 93, 3]
Generated Node #2: [13, 93, 3] from Operation: 15/5=3
Current State: 18:[13, 93, 3], Operations: ['15/5=3']
Exploring Operation: 93/3=31, Resulting Numbers: [13, 31]
Generated Node #3: [13, 31] from Operation: 93/3=31
Current State: 18:[13, 31], Operations: ['15/5=3', '93/3=31']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
70,
11,
30,
37
] | 66 | [
"70-11=59",
"37-30=7",
"59+7=66"
] | Current State: 66:[70, 11, 30, 37], Operations: []
Exploring Operation: 70-11=59, Resulting Numbers: [30, 37, 59]
Generated Node #2: [30, 37, 59] from Operation: 70-11=59
Current State: 66:[30, 37, 59], Operations: ['70-11=59']
Exploring Operation: 37-30=7, Resulting Numbers: [59, 7]
Generated Node #3: [59, 7] from Operation: 37-30=7
Current State: 66:[59, 7], Operations: ['70-11=59', '37-30=7']
Exploring Operation: 59+7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
33,
61,
68,
46
] | 86 | [
"61-33=28",
"68+46=114",
"114-28=86"
] | Current State: 86:[33, 61, 68, 46], Operations: []
Exploring Operation: 61-33=28, Resulting Numbers: [68, 46, 28]
Generated Node #2: [68, 46, 28] from Operation: 61-33=28
Current State: 86:[68, 46, 28], Operations: ['61-33=28']
Exploring Operation: 68+46=114, Resulting Numbers: [28, 114]
Generated Node #3: [28, 114] from Operation: 68+46=114
Current State: 86:[28, 114], Operations: ['61-33=28', '68+46=114']
Exploring Operation: 114-28=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
7,
19,
91,
40
] | 56 | [
"40-19=21",
"7*21=147",
"147-91=56"
] | Current State: 56:[7, 19, 91, 40], Operations: []
Exploring Operation: 40-19=21, Resulting Numbers: [7, 91, 21]
Generated Node #2: [7, 91, 21] from Operation: 40-19=21
Current State: 56:[7, 91, 21], Operations: ['40-19=21']
Exploring Operation: 7*21=147, Resulting Numbers: [91, 147]
Generated Node #3: [91, 147] from Operation: 7*21=147
Current State: 56:[91, 147], Operations: ['40-19=21', '7*21=147']
Exploring Operation: 147-91=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
82,
17,
32,
14
] | 53 | [
"82+17=99",
"32+14=46",
"99-46=53"
] | Current State: 53:[82, 17, 32, 14], Operations: []
Exploring Operation: 82+17=99, Resulting Numbers: [32, 14, 99]
Generated Node #2: [32, 14, 99] from Operation: 82+17=99
Current State: 53:[32, 14, 99], Operations: ['82+17=99']
Exploring Operation: 32+14=46, Resulting Numbers: [99, 46]
Generated Node #3: [99, 46] from Operation: 32+14=46
Current State: 53:[99, 46], Operations: ['82+17=99', '32+14=46']
Exploring Operation: 99-46=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
50,
83,
55,
48
] | 70 | [
"83-50=33",
"55+48=103",
"103-33=70"
] | Current State: 70:[50, 83, 55, 48], Operations: []
Exploring Operation: 83-50=33, Resulting Numbers: [55, 48, 33]
Generated Node #2: [55, 48, 33] from Operation: 83-50=33
Current State: 70:[55, 48, 33], Operations: ['83-50=33']
Exploring Operation: 55+48=103, Resulting Numbers: [33, 103]
Generated Node #3: [33, 103] from Operation: 55+48=103
Current State: 70:[33, 103], Operations: ['83-50=33', '55+48=103']
Exploring Operation: 103-33=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
92,
98,
60,
78
] | 73 | [
"98-92=6",
"78/6=13",
"60+13=73"
] | Current State: 73:[92, 98, 60, 78], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [60, 78, 6]
Generated Node #2: [60, 78, 6] from Operation: 98-92=6
Current State: 73:[60, 78, 6], Operations: ['98-92=6']
Exploring Operation: 78/6=13, Resulting Numbers: [60, 13]
Generated Node #3: [60, 13] from Operation: 78/6=13
Current State: 73:[60, 13], Operations: ['98-92=6', '78/6=13']
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
30,
18,
36,
43
] | 41 | [
"30+18=48",
"43-36=7",
"48-7=41"
] | Current State: 41:[30, 18, 36, 43], Operations: []
Exploring Operation: 30+18=48, Resulting Numbers: [36, 43, 48]
Generated Node #2: [36, 43, 48] from Operation: 30+18=48
Current State: 41:[36, 43, 48], Operations: ['30+18=48']
Exploring Operation: 43-36=7, Resulting Numbers: [48, 7]
Generated Node #3: [48, 7] from Operation: 43-36=7
Current State: 41:[48, 7], Operations: ['30+18=48', '43-36=7']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
94,
72,
28,
25
] | 75 | [
"94-72=22",
"28+25=53",
"22+53=75"
] | Current State: 75:[94, 72, 28, 25], Operations: []
Exploring Operation: 94-72=22, Resulting Numbers: [28, 25, 22]
Generated Node #2: [28, 25, 22] from Operation: 94-72=22
Current State: 75:[28, 25, 22], Operations: ['94-72=22']
Exploring Operation: 28+25=53, Resulting Numbers: [22, 53]
Generated Node #3: [22, 53] from Operation: 28+25=53
Current State: 75:[22, 53], Operations: ['94-72=22', '28+25=53']
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
96,
50,
90,
23
] | 21 | [
"96-50=46",
"90-23=67",
"67-46=21"
] | Current State: 21:[96, 50, 90, 23], Operations: []
Exploring Operation: 96-50=46, Resulting Numbers: [90, 23, 46]
Generated Node #2: [90, 23, 46] from Operation: 96-50=46
Current State: 21:[90, 23, 46], Operations: ['96-50=46']
Exploring Operation: 90-23=67, Resulting Numbers: [46, 67]
Generated Node #3: [46, 67] from Operation: 90-23=67
Current State: 21:[46, 67], Operations: ['96-50=46', '90-23=67']
Exploring Operation: 67-46=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
44,
7,
40,
82
] | 94 | [
"44+40=84",
"84/7=12",
"82+12=94"
] | Current State: 94:[44, 7, 40, 82], Operations: []
Exploring Operation: 44+40=84, Resulting Numbers: [7, 82, 84]
Generated Node #2: [7, 82, 84] from Operation: 44+40=84
Current State: 94:[7, 82, 84], Operations: ['44+40=84']
Exploring Operation: 84/7=12, Resulting Numbers: [82, 12]
Generated Node #3: [82, 12] from Operation: 84/7=12
Current State: 94:[82, 12], Operations: ['44+40=84', '84/7=12']
Exploring Operation: 82+12=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
58,
66,
41,
52
] | 19 | [
"66-58=8",
"52-41=11",
"8+11=19"
] | Current State: 19:[58, 66, 41, 52], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [41, 52, 8]
Generated Node #2: [41, 52, 8] from Operation: 66-58=8
Current State: 19:[41, 52, 8], Operations: ['66-58=8']
Exploring Operation: 52-41=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 52-41=11
Current State: 19:[8, 11], Operations: ['66-58=8', '52-41=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
6,
6,
21,
9
] | 81 | [
"6+6=12",
"21-12=9",
"9*9=81"
] | Current State: 81:[6, 6, 21, 9], Operations: []
Exploring Operation: 6+6=12, Resulting Numbers: [21, 9, 12]
Generated Node #2: [21, 9, 12] from Operation: 6+6=12
Current State: 81:[21, 9, 12], Operations: ['6+6=12']
Exploring Operation: 21-12=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 21-12=9
Current State: 81:[9, 9], Operations: ['6+6=12', '21-12=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
97,
22,
26,
8
] | 29 | [
"97*8=776",
"776-22=754",
"754/26=29"
] | Current State: 29:[97, 22, 26, 8], Operations: []
Exploring Operation: 97*8=776, Resulting Numbers: [22, 26, 776]
Generated Node #2: [22, 26, 776] from Operation: 97*8=776
Current State: 29:[22, 26, 776], Operations: ['97*8=776']
Exploring Operation: 776-22=754, Resulting Numbers: [26, 754]
Generated Node #3: [26, 754] from Operation: 776-22=754
Current State: 29:[26, 754], Operations: ['97*8=776', '776-22=754']
Exploring Operation: 754/26=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
7,
98,
56,
16
] | 58 | [
"98/7=14",
"56+16=72",
"72-14=58"
] | Current State: 58:[7, 98, 56, 16], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [56, 16, 14]
Generated Node #2: [56, 16, 14] from Operation: 98/7=14
Current State: 58:[56, 16, 14], Operations: ['98/7=14']
Exploring Operation: 56+16=72, Resulting Numbers: [14, 72]
Generated Node #3: [14, 72] from Operation: 56+16=72
Current State: 58:[14, 72], Operations: ['98/7=14', '56+16=72']
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
14,
13,
95,
29
] | 66 | [
"14-13=1",
"95-29=66",
"1*66=66"
] | Current State: 66:[14, 13, 95, 29], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [95, 29, 1]
Generated Node #2: [95, 29, 1] from Operation: 14-13=1
Current State: 66:[95, 29, 1], Operations: ['14-13=1']
Exploring Operation: 95-29=66, Resulting Numbers: [1, 66]
Generated Node #3: [1, 66] from Operation: 95-29=66
Current State: 66:[1, 66], Operations: ['14-13=1', '95-29=66']
Exploring Operation: 1*66=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
88,
21,
59,
69
] | 57 | [
"88-21=67",
"69-59=10",
"67-10=57"
] | Current State: 57:[88, 21, 59, 69], Operations: []
Exploring Operation: 88-21=67, Resulting Numbers: [59, 69, 67]
Generated Node #2: [59, 69, 67] from Operation: 88-21=67
Current State: 57:[59, 69, 67], Operations: ['88-21=67']
Exploring Operation: 69-59=10, Resulting Numbers: [67, 10]
Generated Node #3: [67, 10] from Operation: 69-59=10
Current State: 57:[67, 10], Operations: ['88-21=67', '69-59=10']
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
10,
19,
97,
60
] | 66 | [
"10+19=29",
"97-60=37",
"29+37=66"
] | Current State: 66:[10, 19, 97, 60], Operations: []
Exploring Operation: 10+19=29, Resulting Numbers: [97, 60, 29]
Generated Node #2: [97, 60, 29] from Operation: 10+19=29
Current State: 66:[97, 60, 29], Operations: ['10+19=29']
Exploring Operation: 97-60=37, Resulting Numbers: [29, 37]
Generated Node #3: [29, 37] from Operation: 97-60=37
Current State: 66:[29, 37], Operations: ['10+19=29', '97-60=37']
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
21,
54,
92,
3
] | 51 | [
"21+54=75",
"92-75=17",
"3*17=51"
] | Current State: 51:[21, 54, 92, 3], Operations: []
Exploring Operation: 21+54=75, Resulting Numbers: [92, 3, 75]
Generated Node #2: [92, 3, 75] from Operation: 21+54=75
Current State: 51:[92, 3, 75], Operations: ['21+54=75']
Exploring Operation: 92-75=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 92-75=17
Current State: 51:[3, 17], Operations: ['21+54=75', '92-75=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
14,
11,
69,
24
] | 47 | [
"14-11=3",
"69/3=23",
"24+23=47"
] | Current State: 47:[14, 11, 69, 24], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [69, 24, 3]
Generated Node #2: [69, 24, 3] from Operation: 14-11=3
Current State: 47:[69, 24, 3], Operations: ['14-11=3']
Exploring Operation: 69/3=23, Resulting Numbers: [24, 23]
Generated Node #3: [24, 23] from Operation: 69/3=23
Current State: 47:[24, 23], Operations: ['14-11=3', '69/3=23']
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
44,
35,
83,
12
] | 16 | [
"44+35=79",
"83+12=95",
"95-79=16"
] | Current State: 16:[44, 35, 83, 12], Operations: []
Exploring Operation: 44+35=79, Resulting Numbers: [83, 12, 79]
Generated Node #2: [83, 12, 79] from Operation: 44+35=79
Current State: 16:[83, 12, 79], Operations: ['44+35=79']
Exploring Operation: 83+12=95, Resulting Numbers: [79, 95]
Generated Node #3: [79, 95] from Operation: 83+12=95
Current State: 16:[79, 95], Operations: ['44+35=79', '83+12=95']
Exploring Operation: 95-79=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
8,
90,
84,
34
] | 17 | [
"90-8=82",
"84-82=2",
"34/2=17"
] | Current State: 17:[8, 90, 84, 34], Operations: []
Exploring Operation: 90-8=82, Resulting Numbers: [84, 34, 82]
Generated Node #2: [84, 34, 82] from Operation: 90-8=82
Current State: 17:[84, 34, 82], Operations: ['90-8=82']
Exploring Operation: 84-82=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 84-82=2
Current State: 17:[34, 2], Operations: ['90-8=82', '84-82=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
81,
41,
3,
32
] | 84 | [
"41-32=9",
"9/3=3",
"81+3=84"
] | Current State: 84:[81, 41, 3, 32], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [81, 3, 9]
Generated Node #2: [81, 3, 9] from Operation: 41-32=9
Current State: 84:[81, 3, 9], Operations: ['41-32=9']
Exploring Operation: 9/3=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 9/3=3
Current State: 84:[81, 3], Operations: ['41-32=9', '9/3=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
11,
10,
15,
55
] | 77 | [
"11+10=21",
"55*21=1155",
"1155/15=77"
] | Current State: 77:[11, 10, 15, 55], Operations: []
Exploring Operation: 11+10=21, Resulting Numbers: [15, 55, 21]
Generated Node #2: [15, 55, 21] from Operation: 11+10=21
Current State: 77:[15, 55, 21], Operations: ['11+10=21']
Exploring Operation: 55*21=1155, Resulting Numbers: [15, 1155]
Generated Node #3: [15, 1155] from Operation: 55*21=1155
Current State: 77:[15, 1155], Operations: ['11+10=21', '55*21=1155']
Exploring Operation: 1155/15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
42,
74,
4,
68
] | 76 | [
"74-42=32",
"32/4=8",
"68+8=76"
] | Current State: 76:[42, 74, 4, 68], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [4, 68, 32]
Generated Node #2: [4, 68, 32] from Operation: 74-42=32
Current State: 76:[4, 68, 32], Operations: ['74-42=32']
Exploring Operation: 32/4=8, Resulting Numbers: [68, 8]
Generated Node #3: [68, 8] from Operation: 32/4=8
Current State: 76:[68, 8], Operations: ['74-42=32', '32/4=8']
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
69,
47,
20,
2
] | 68 | [
"69+47=116",
"20+116=136",
"136/2=68"
] | Current State: 68:[69, 47, 20, 2], Operations: []
Exploring Operation: 69+47=116, Resulting Numbers: [20, 2, 116]
Generated Node #2: [20, 2, 116] from Operation: 69+47=116
Current State: 68:[20, 2, 116], Operations: ['69+47=116']
Exploring Operation: 20+116=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 20+116=136
Current State: 68:[2, 136], Operations: ['69+47=116', '20+116=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
13,
69,
68,
41
] | 34 | [
"13+69=82",
"68*41=2788",
"2788/82=34"
] | Current State: 34:[13, 69, 68, 41], Operations: []
Exploring Operation: 13+69=82, Resulting Numbers: [68, 41, 82]
Generated Node #2: [68, 41, 82] from Operation: 13+69=82
Current State: 34:[68, 41, 82], Operations: ['13+69=82']
Exploring Operation: 68*41=2788, Resulting Numbers: [82, 2788]
Generated Node #3: [82, 2788] from Operation: 68*41=2788
Current State: 34:[82, 2788], Operations: ['13+69=82', '68*41=2788']
Exploring Operation: 2788/82=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
42,
33,
31,
40
] | 22 | [
"33-31=2",
"40/2=20",
"42-20=22"
] | Current State: 22:[42, 33, 31, 40], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [42, 40, 2]
Generated Node #2: [42, 40, 2] from Operation: 33-31=2
Current State: 22:[42, 40, 2], Operations: ['33-31=2']
Exploring Operation: 40/2=20, Resulting Numbers: [42, 20]
Generated Node #3: [42, 20] from Operation: 40/2=20
Current State: 22:[42, 20], Operations: ['33-31=2', '40/2=20']
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
20,
46,
62,
8
] | 52 | [
"20*8=160",
"46+62=108",
"160-108=52"
] | Current State: 52:[20, 46, 62, 8], Operations: []
Exploring Operation: 20*8=160, Resulting Numbers: [46, 62, 160]
Generated Node #2: [46, 62, 160] from Operation: 20*8=160
Current State: 52:[46, 62, 160], Operations: ['20*8=160']
Exploring Operation: 46+62=108, Resulting Numbers: [160, 108]
Generated Node #3: [160, 108] from Operation: 46+62=108
Current State: 52:[160, 108], Operations: ['20*8=160', '46+62=108']
Exploring Operation: 160-108=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
79,
81,
1,
39
] | 39 | [
"81-79=2",
"2-1=1",
"39*1=39"
] | Current State: 39:[79, 81, 1, 39], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [1, 39, 2]
Generated Node #2: [1, 39, 2] from Operation: 81-79=2
Current State: 39:[1, 39, 2], Operations: ['81-79=2']
Exploring Operation: 2-1=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 2-1=1
Current State: 39:[39, 1], Operations: ['81-79=2', '2-1=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
97,
23,
74,
33
] | 79 | [
"97+23=120",
"74-33=41",
"120-41=79"
] | Current State: 79:[97, 23, 74, 33], Operations: []
Exploring Operation: 97+23=120, Resulting Numbers: [74, 33, 120]
Generated Node #2: [74, 33, 120] from Operation: 97+23=120
Current State: 79:[74, 33, 120], Operations: ['97+23=120']
Exploring Operation: 74-33=41, Resulting Numbers: [120, 41]
Generated Node #3: [120, 41] from Operation: 74-33=41
Current State: 79:[120, 41], Operations: ['97+23=120', '74-33=41']
Exploring Operation: 120-41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
38,
54,
39,
3
] | 52 | [
"54-38=16",
"39-3=36",
"16+36=52"
] | Current State: 52:[38, 54, 39, 3], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [39, 3, 16]
Generated Node #2: [39, 3, 16] from Operation: 54-38=16
Current State: 52:[39, 3, 16], Operations: ['54-38=16']
Exploring Operation: 39-3=36, Resulting Numbers: [16, 36]
Generated Node #3: [16, 36] from Operation: 39-3=36
Current State: 52:[16, 36], Operations: ['54-38=16', '39-3=36']
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
17,
67,
2,
81
] | 18 | [
"17+81=98",
"98/2=49",
"67-49=18"
] | Current State: 18:[17, 67, 2, 81], Operations: []
Exploring Operation: 17+81=98, Resulting Numbers: [67, 2, 98]
Generated Node #2: [67, 2, 98] from Operation: 17+81=98
Current State: 18:[67, 2, 98], Operations: ['17+81=98']
Exploring Operation: 98/2=49, Resulting Numbers: [67, 49]
Generated Node #3: [67, 49] from Operation: 98/2=49
Current State: 18:[67, 49], Operations: ['17+81=98', '98/2=49']
Exploring Operation: 67-49=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
78,
3,
82,
28
] | 100 | [
"82-78=4",
"28-3=25",
"4*25=100"
] | Current State: 100:[78, 3, 82, 28], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [3, 28, 4]
Generated Node #2: [3, 28, 4] from Operation: 82-78=4
Current State: 100:[3, 28, 4], Operations: ['82-78=4']
Exploring Operation: 28-3=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 28-3=25
Current State: 100:[4, 25], Operations: ['82-78=4', '28-3=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
50,
62,
4,
27
] | 89 | [
"50+62=112",
"27-4=23",
"112-23=89"
] | Current State: 89:[50, 62, 4, 27], Operations: []
Exploring Operation: 50+62=112, Resulting Numbers: [4, 27, 112]
Generated Node #2: [4, 27, 112] from Operation: 50+62=112
Current State: 89:[4, 27, 112], Operations: ['50+62=112']
Exploring Operation: 27-4=23, Resulting Numbers: [112, 23]
Generated Node #3: [112, 23] from Operation: 27-4=23
Current State: 89:[112, 23], Operations: ['50+62=112', '27-4=23']
Exploring Operation: 112-23=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
72,
9,
56,
61
] | 86 | [
"72+9=81",
"61-56=5",
"81+5=86"
] | Current State: 86:[72, 9, 56, 61], Operations: []
Exploring Operation: 72+9=81, Resulting Numbers: [56, 61, 81]
Generated Node #2: [56, 61, 81] from Operation: 72+9=81
Current State: 86:[56, 61, 81], Operations: ['72+9=81']
Exploring Operation: 61-56=5, Resulting Numbers: [81, 5]
Generated Node #3: [81, 5] from Operation: 61-56=5
Current State: 86:[81, 5], Operations: ['72+9=81', '61-56=5']
Exploring Operation: 81+5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
10,
19,
53,
49
] | 59 | [
"53-49=4",
"10*4=40",
"19+40=59"
] | Current State: 59:[10, 19, 53, 49], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [10, 19, 4]
Generated Node #2: [10, 19, 4] from Operation: 53-49=4
Current State: 59:[10, 19, 4], Operations: ['53-49=4']
Exploring Operation: 10*4=40, Resulting Numbers: [19, 40]
Generated Node #3: [19, 40] from Operation: 10*4=40
Current State: 59:[19, 40], Operations: ['53-49=4', '10*4=40']
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
11,
32,
58,
46
] | 61 | [
"11+32=43",
"58+46=104",
"104-43=61"
] | Current State: 61:[11, 32, 58, 46], Operations: []
Exploring Operation: 11+32=43, Resulting Numbers: [58, 46, 43]
Generated Node #2: [58, 46, 43] from Operation: 11+32=43
Current State: 61:[58, 46, 43], Operations: ['11+32=43']
Exploring Operation: 58+46=104, Resulting Numbers: [43, 104]
Generated Node #3: [43, 104] from Operation: 58+46=104
Current State: 61:[43, 104], Operations: ['11+32=43', '58+46=104']
Exploring Operation: 104-43=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
93,
87,
87,
52
] | 52 | [
"87-87=0",
"93*0=0",
"52+0=52"
] | Current State: 52:[93, 87, 87, 52], Operations: []
Exploring Operation: 87-87=0, Resulting Numbers: [93, 52, 0]
Generated Node #2: [93, 52, 0] from Operation: 87-87=0
Current State: 52:[93, 52, 0], Operations: ['87-87=0']
Exploring Operation: 93*0=0, Resulting Numbers: [52, 0]
Generated Node #3: [52, 0] from Operation: 93*0=0
Current State: 52:[52, 0], Operations: ['87-87=0', '93*0=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
87,
51,
75
] | 91 | [
"87-52=35",
"51+75=126",
"126-35=91"
] | Current State: 91:[52, 87, 51, 75], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [51, 75, 35]
Generated Node #2: [51, 75, 35] from Operation: 87-52=35
Current State: 91:[51, 75, 35], Operations: ['87-52=35']
Exploring Operation: 51+75=126, Resulting Numbers: [35, 126]
Generated Node #3: [35, 126] from Operation: 51+75=126
Current State: 91:[35, 126], Operations: ['87-52=35', '51+75=126']
Exploring Operation: 126-35=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
2,
56,
27,
79
] | 75 | [
"2*79=158",
"56+27=83",
"158-83=75"
] | Current State: 75:[2, 56, 27, 79], Operations: []
Exploring Operation: 2*79=158, Resulting Numbers: [56, 27, 158]
Generated Node #2: [56, 27, 158] from Operation: 2*79=158
Current State: 75:[56, 27, 158], Operations: ['2*79=158']
Exploring Operation: 56+27=83, Resulting Numbers: [158, 83]
Generated Node #3: [158, 83] from Operation: 56+27=83
Current State: 75:[158, 83], Operations: ['2*79=158', '56+27=83']
Exploring Operation: 158-83=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
69,
58,
96,
15
] | 24 | [
"69-58=11",
"15-11=4",
"96/4=24"
] | Current State: 24:[69, 58, 96, 15], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [96, 15, 11]
Generated Node #2: [96, 15, 11] from Operation: 69-58=11
Current State: 24:[96, 15, 11], Operations: ['69-58=11']
Exploring Operation: 15-11=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 15-11=4
Current State: 24:[96, 4], Operations: ['69-58=11', '15-11=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
89,
30,
71,
18
] | 96 | [
"89+71=160",
"18*160=2880",
"2880/30=96"
] | Current State: 96:[89, 30, 71, 18], Operations: []
Exploring Operation: 89+71=160, Resulting Numbers: [30, 18, 160]
Generated Node #2: [30, 18, 160] from Operation: 89+71=160
Current State: 96:[30, 18, 160], Operations: ['89+71=160']
Exploring Operation: 18*160=2880, Resulting Numbers: [30, 2880]
Generated Node #3: [30, 2880] from Operation: 18*160=2880
Current State: 96:[30, 2880], Operations: ['89+71=160', '18*160=2880']
Exploring Operation: 2880/30=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
66,
43,
65,
37
] | 51 | [
"66-43=23",
"65-37=28",
"23+28=51"
] | Current State: 51:[66, 43, 65, 37], Operations: []
Exploring Operation: 66-43=23, Resulting Numbers: [65, 37, 23]
Generated Node #2: [65, 37, 23] from Operation: 66-43=23
Current State: 51:[65, 37, 23], Operations: ['66-43=23']
Exploring Operation: 65-37=28, Resulting Numbers: [23, 28]
Generated Node #3: [23, 28] from Operation: 65-37=28
Current State: 51:[23, 28], Operations: ['66-43=23', '65-37=28']
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
22,
3,
93,
60
] | 73 | [
"93+60=153",
"153/3=51",
"22+51=73"
] | Current State: 73:[22, 3, 93, 60], Operations: []
Exploring Operation: 93+60=153, Resulting Numbers: [22, 3, 153]
Generated Node #2: [22, 3, 153] from Operation: 93+60=153
Current State: 73:[22, 3, 153], Operations: ['93+60=153']
Exploring Operation: 153/3=51, Resulting Numbers: [22, 51]
Generated Node #3: [22, 51] from Operation: 153/3=51
Current State: 73:[22, 51], Operations: ['93+60=153', '153/3=51']
Exploring Operation: 22+51=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
57,
28,
82,
30
] | 82 | [
"57-28=29",
"30-29=1",
"82*1=82"
] | Current State: 82:[57, 28, 82, 30], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [82, 30, 29]
Generated Node #2: [82, 30, 29] from Operation: 57-28=29
Current State: 82:[82, 30, 29], Operations: ['57-28=29']
Exploring Operation: 30-29=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 30-29=1
Current State: 82:[82, 1], Operations: ['57-28=29', '30-29=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
8,
58,
17,
93
] | 21 | [
"58+17=75",
"93+75=168",
"168/8=21"
] | Current State: 21:[8, 58, 17, 93], Operations: []
Exploring Operation: 58+17=75, Resulting Numbers: [8, 93, 75]
Generated Node #2: [8, 93, 75] from Operation: 58+17=75
Current State: 21:[8, 93, 75], Operations: ['58+17=75']
Exploring Operation: 93+75=168, Resulting Numbers: [8, 168]
Generated Node #3: [8, 168] from Operation: 93+75=168
Current State: 21:[8, 168], Operations: ['58+17=75', '93+75=168']
Exploring Operation: 168/8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
5,
19,
14,
70
] | 47 | [
"70/5=14",
"19+14=33",
"14+33=47"
] | Current State: 47:[5, 19, 14, 70], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [19, 14, 14]
Generated Node #2: [19, 14, 14] from Operation: 70/5=14
Current State: 47:[19, 14, 14], Operations: ['70/5=14']
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,47 equal: Goal Reached
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
84,
23,
38,
36
] | 24 | [
"23*36=828",
"84+828=912",
"912/38=24"
] | Current State: 24:[84, 23, 38, 36], Operations: []
Exploring Operation: 23*36=828, Resulting Numbers: [84, 38, 828]
Generated Node #2: [84, 38, 828] from Operation: 23*36=828
Current State: 24:[84, 38, 828], Operations: ['23*36=828']
Exploring Operation: 84+828=912, Resulting Numbers: [38, 912]
Generated Node #3: [38, 912] from Operation: 84+828=912
Current State: 24:[38, 912], Operations: ['23*36=828', '84+828=912']
Exploring Operation: 912/38=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
7,
5,
53,
6
] | 71 | [
"7+5=12",
"53+6=59",
"12+59=71"
] | Current State: 71:[7, 5, 53, 6], Operations: []
Exploring Operation: 7+5=12, Resulting Numbers: [53, 6, 12]
Generated Node #2: [53, 6, 12] from Operation: 7+5=12
Current State: 71:[53, 6, 12], Operations: ['7+5=12']
Exploring Operation: 53+6=59, Resulting Numbers: [12, 59]
Generated Node #3: [12, 59] from Operation: 53+6=59
Current State: 71:[12, 59], Operations: ['7+5=12', '53+6=59']
Exploring Operation: 12+59=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
71,
17,
48,
60
] | 53 | [
"71+48=119",
"119/17=7",
"60-7=53"
] | Current State: 53:[71, 17, 48, 60], Operations: []
Exploring Operation: 71+48=119, Resulting Numbers: [17, 60, 119]
Generated Node #2: [17, 60, 119] from Operation: 71+48=119
Current State: 53:[17, 60, 119], Operations: ['71+48=119']
Exploring Operation: 119/17=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 119/17=7
Current State: 53:[60, 7], Operations: ['71+48=119', '119/17=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
7,
67,
10,
67
] | 73 | [
"67-7=60",
"60/10=6",
"67+6=73"
] | Current State: 73:[7, 67, 10, 67], Operations: []
Exploring Operation: 67-7=60, Resulting Numbers: [10, 60]
Generated Node #2: [10, 60] from Operation: 67-7=60
Current State: 73:[10, 60], Operations: ['67-7=60']
Exploring Operation: 60/10=6, Resulting Numbers: [6]
6,73 equal: Goal Reached
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
14,
11,
3,
16
] | 66 | [
"16-14=2",
"11*3=33",
"2*33=66"
] | Current State: 66:[14, 11, 3, 16], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [11, 3, 2]
Generated Node #2: [11, 3, 2] from Operation: 16-14=2
Current State: 66:[11, 3, 2], Operations: ['16-14=2']
Exploring Operation: 11*3=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 11*3=33
Current State: 66:[2, 33], Operations: ['16-14=2', '11*3=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
39,
50,
97,
3
] | 78 | [
"97+3=100",
"39*100=3900",
"3900/50=78"
] | Current State: 78:[39, 50, 97, 3], Operations: []
Exploring Operation: 97+3=100, Resulting Numbers: [39, 50, 100]
Generated Node #2: [39, 50, 100] from Operation: 97+3=100
Current State: 78:[39, 50, 100], Operations: ['97+3=100']
Exploring Operation: 39*100=3900, Resulting Numbers: [50, 3900]
Generated Node #3: [50, 3900] from Operation: 39*100=3900
Current State: 78:[50, 3900], Operations: ['97+3=100', '39*100=3900']
Exploring Operation: 3900/50=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
98,
20,
57,
26
] | 54 | [
"98-20=78",
"78/26=3",
"57-3=54"
] | Current State: 54:[98, 20, 57, 26], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [57, 26, 78]
Generated Node #2: [57, 26, 78] from Operation: 98-20=78
Current State: 54:[57, 26, 78], Operations: ['98-20=78']
Exploring Operation: 78/26=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 78/26=3
Current State: 54:[57, 3], Operations: ['98-20=78', '78/26=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
35,
42,
98,
21
] | 61 | [
"98-35=63",
"42/21=2",
"63-2=61"
] | Current State: 61:[35, 42, 98, 21], Operations: []
Exploring Operation: 98-35=63, Resulting Numbers: [42, 21, 63]
Generated Node #2: [42, 21, 63] from Operation: 98-35=63
Current State: 61:[42, 21, 63], Operations: ['98-35=63']
Exploring Operation: 42/21=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 42/21=2
Current State: 61:[63, 2], Operations: ['98-35=63', '42/21=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
96,
31,
17,
37
] | 100 | [
"31+37=68",
"68/17=4",
"96+4=100"
] | Current State: 100:[96, 31, 17, 37], Operations: []
Exploring Operation: 31+37=68, Resulting Numbers: [96, 17, 68]
Generated Node #2: [96, 17, 68] from Operation: 31+37=68
Current State: 100:[96, 17, 68], Operations: ['31+37=68']
Exploring Operation: 68/17=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 68/17=4
Current State: 100:[96, 4], Operations: ['31+37=68', '68/17=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
58,
29,
81,
90
] | 36 | [
"58/29=2",
"90/2=45",
"81-45=36"
] | Current State: 36:[58, 29, 81, 90], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [81, 90, 2]
Generated Node #2: [81, 90, 2] from Operation: 58/29=2
Current State: 36:[81, 90, 2], Operations: ['58/29=2']
Exploring Operation: 90/2=45, Resulting Numbers: [81, 45]
Generated Node #3: [81, 45] from Operation: 90/2=45
Current State: 36:[81, 45], Operations: ['58/29=2', '90/2=45']
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
73,
36,
77,
18
] | 72 | [
"77-73=4",
"36-18=18",
"4*18=72"
] | Current State: 72:[73, 36, 77, 18], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [36, 18, 4]
Generated Node #2: [36, 18, 4] from Operation: 77-73=4
Current State: 72:[36, 18, 4], Operations: ['77-73=4']
Exploring Operation: 36-18=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 36-18=18
Current State: 72:[4, 18], Operations: ['77-73=4', '36-18=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
12,
13,
57,
54
] | 86 | [
"12+13=25",
"57+54=111",
"111-25=86"
] | Current State: 86:[12, 13, 57, 54], Operations: []
Exploring Operation: 12+13=25, Resulting Numbers: [57, 54, 25]
Generated Node #2: [57, 54, 25] from Operation: 12+13=25
Current State: 86:[57, 54, 25], Operations: ['12+13=25']
Exploring Operation: 57+54=111, Resulting Numbers: [25, 111]
Generated Node #3: [25, 111] from Operation: 57+54=111
Current State: 86:[25, 111], Operations: ['12+13=25', '57+54=111']
Exploring Operation: 111-25=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
21,
71,
13,
92
] | 88 | [
"71+13=84",
"84/21=4",
"92-4=88"
] | Current State: 88:[21, 71, 13, 92], Operations: []
Exploring Operation: 71+13=84, Resulting Numbers: [21, 92, 84]
Generated Node #2: [21, 92, 84] from Operation: 71+13=84
Current State: 88:[21, 92, 84], Operations: ['71+13=84']
Exploring Operation: 84/21=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 84/21=4
Current State: 88:[92, 4], Operations: ['71+13=84', '84/21=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
17,
11,
12,
8
] | 93 | [
"17-12=5",
"11*8=88",
"5+88=93"
] | Current State: 93:[17, 11, 12, 8], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [11, 8, 5]
Generated Node #2: [11, 8, 5] from Operation: 17-12=5
Current State: 93:[11, 8, 5], Operations: ['17-12=5']
Exploring Operation: 11*8=88, Resulting Numbers: [5, 88]
Generated Node #3: [5, 88] from Operation: 11*8=88
Current State: 93:[5, 88], Operations: ['17-12=5', '11*8=88']
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
29,
36,
66,
31
] | 90 | [
"36-29=7",
"66+31=97",
"97-7=90"
] | Current State: 90:[29, 36, 66, 31], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [66, 31, 7]
Generated Node #2: [66, 31, 7] from Operation: 36-29=7
Current State: 90:[66, 31, 7], Operations: ['36-29=7']
Exploring Operation: 66+31=97, Resulting Numbers: [7, 97]
Generated Node #3: [7, 97] from Operation: 66+31=97
Current State: 90:[7, 97], Operations: ['36-29=7', '66+31=97']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
92,
37,
60,
23
] | 28 | [
"92-37=55",
"60+23=83",
"83-55=28"
] | Current State: 28:[92, 37, 60, 23], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [60, 23, 55]
Generated Node #2: [60, 23, 55] from Operation: 92-37=55
Current State: 28:[60, 23, 55], Operations: ['92-37=55']
Exploring Operation: 60+23=83, Resulting Numbers: [55, 83]
Generated Node #3: [55, 83] from Operation: 60+23=83
Current State: 28:[55, 83], Operations: ['92-37=55', '60+23=83']
Exploring Operation: 83-55=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
3,
11,
1,
48
] | 78 | [
"11-1=10",
"3*10=30",
"48+30=78"
] | Current State: 78:[3, 11, 1, 48], Operations: []
Exploring Operation: 11-1=10, Resulting Numbers: [3, 48, 10]
Generated Node #2: [3, 48, 10] from Operation: 11-1=10
Current State: 78:[3, 48, 10], Operations: ['11-1=10']
Exploring Operation: 3*10=30, Resulting Numbers: [48, 30]
Generated Node #3: [48, 30] from Operation: 3*10=30
Current State: 78:[48, 30], Operations: ['11-1=10', '3*10=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
75,
81,
84,
39
] | 25 | [
"81-75=6",
"84/6=14",
"39-14=25"
] | Current State: 25:[75, 81, 84, 39], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [84, 39, 6]
Generated Node #2: [84, 39, 6] from Operation: 81-75=6
Current State: 25:[84, 39, 6], Operations: ['81-75=6']
Exploring Operation: 84/6=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 84/6=14
Current State: 25:[39, 14], Operations: ['81-75=6', '84/6=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
37,
58,
23,
12
] | 10 | [
"58-37=21",
"23-12=11",
"21-11=10"
] | Current State: 10:[37, 58, 23, 12], Operations: []
Exploring Operation: 58-37=21, Resulting Numbers: [23, 12, 21]
Generated Node #2: [23, 12, 21] from Operation: 58-37=21
Current State: 10:[23, 12, 21], Operations: ['58-37=21']
Exploring Operation: 23-12=11, Resulting Numbers: [21, 11]
Generated Node #3: [21, 11] from Operation: 23-12=11
Current State: 10:[21, 11], Operations: ['58-37=21', '23-12=11']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
61,
3,
32,
16
] | 21 | [
"32/16=2",
"61+2=63",
"63/3=21"
] | Current State: 21:[61, 3, 32, 16], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [61, 3, 2]
Generated Node #2: [61, 3, 2] from Operation: 32/16=2
Current State: 21:[61, 3, 2], Operations: ['32/16=2']
Exploring Operation: 61+2=63, Resulting Numbers: [3, 63]
Generated Node #3: [3, 63] from Operation: 61+2=63
Current State: 21:[3, 63], Operations: ['32/16=2', '61+2=63']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
67,
7,
12,
57
] | 82 | [
"67-57=10",
"7*10=70",
"12+70=82"
] | Current State: 82:[67, 7, 12, 57], Operations: []
Exploring Operation: 67-57=10, Resulting Numbers: [7, 12, 10]
Generated Node #2: [7, 12, 10] from Operation: 67-57=10
Current State: 82:[7, 12, 10], Operations: ['67-57=10']
Exploring Operation: 7*10=70, Resulting Numbers: [12, 70]
Generated Node #3: [12, 70] from Operation: 7*10=70
Current State: 82:[12, 70], Operations: ['67-57=10', '7*10=70']
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
41,
25,
4,
46
] | 43 | [
"46-25=21",
"4*21=84",
"84-41=43"
] | Current State: 43:[41, 25, 4, 46], Operations: []
Exploring Operation: 46-25=21, Resulting Numbers: [41, 4, 21]
Generated Node #2: [41, 4, 21] from Operation: 46-25=21
Current State: 43:[41, 4, 21], Operations: ['46-25=21']
Exploring Operation: 4*21=84, Resulting Numbers: [41, 84]
Generated Node #3: [41, 84] from Operation: 4*21=84
Current State: 43:[41, 84], Operations: ['46-25=21', '4*21=84']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
25,
72,
99,
39
] | 41 | [
"25+72=97",
"99+39=138",
"138-97=41"
] | Current State: 41:[25, 72, 99, 39], Operations: []
Exploring Operation: 25+72=97, Resulting Numbers: [99, 39, 97]
Generated Node #2: [99, 39, 97] from Operation: 25+72=97
Current State: 41:[99, 39, 97], Operations: ['25+72=97']
Exploring Operation: 99+39=138, Resulting Numbers: [97, 138]
Generated Node #3: [97, 138] from Operation: 99+39=138
Current State: 41:[97, 138], Operations: ['25+72=97', '99+39=138']
Exploring Operation: 138-97=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
70,
77,
50,
15
] | 79 | [
"50-15=35",
"70/35=2",
"77+2=79"
] | Current State: 79:[70, 77, 50, 15], Operations: []
Exploring Operation: 50-15=35, Resulting Numbers: [70, 77, 35]
Generated Node #2: [70, 77, 35] from Operation: 50-15=35
Current State: 79:[70, 77, 35], Operations: ['50-15=35']
Exploring Operation: 70/35=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 70/35=2
Current State: 79:[77, 2], Operations: ['50-15=35', '70/35=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
78,
78,
40,
23
] | 17 | [
"78-78=0",
"40-23=17",
"0+17=17"
] | Current State: 17:[78, 78, 40, 23], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [40, 23, 0]
Generated Node #2: [40, 23, 0] from Operation: 78-78=0
Current State: 17:[40, 23, 0], Operations: ['78-78=0']
Exploring Operation: 40-23=17, Resulting Numbers: [0, 17]
Generated Node #3: [0, 17] from Operation: 40-23=17
Current State: 17:[0, 17], Operations: ['78-78=0', '40-23=17']
Exploring Operation: 0+17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
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