nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
24,
20,
43,
44
] | 34 | [
"20*43=860",
"860-44=816",
"816/24=34"
] | Current State: 34:[24, 20, 43, 44], Operations: []
Exploring Operation: 20*43=860, Resulting Numbers: [24, 44, 860]
Generated Node #2: [24, 44, 860] from Operation: 20*43=860
Current State: 34:[24, 44, 860], Operations: ['20*43=860']
Exploring Operation: 860-44=816, Resulting Numbers: [24, 816]
Generated Node #3: [24, 816] from Operation: 860-44=816
Current State: 34:[24, 816], Operations: ['20*43=860', '860-44=816']
Exploring Operation: 816/24=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
29,
82,
37,
38
] | 15 | [
"37-29=8",
"82+38=120",
"120/8=15"
] | Current State: 15:[29, 82, 37, 38], Operations: []
Exploring Operation: 37-29=8, Resulting Numbers: [82, 38, 8]
Generated Node #2: [82, 38, 8] from Operation: 37-29=8
Current State: 15:[82, 38, 8], Operations: ['37-29=8']
Exploring Operation: 82+38=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 82+38=120
Current State: 15:[8, 120], Operations: ['37-29=8', '82+38=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
47,
52,
34,
20
] | 24 | [
"47-34=13",
"52/13=4",
"20+4=24"
] | Current State: 24:[47, 52, 34, 20], Operations: []
Exploring Operation: 47-34=13, Resulting Numbers: [52, 20, 13]
Generated Node #2: [52, 20, 13] from Operation: 47-34=13
Current State: 24:[52, 20, 13], Operations: ['47-34=13']
Exploring Operation: 52/13=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 52/13=4
Current State: 24:[20, 4], Operations: ['47-34=13', '52/13=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
27,
76,
72,
46
] | 75 | [
"76-27=49",
"72-46=26",
"49+26=75"
] | Current State: 75:[27, 76, 72, 46], Operations: []
Exploring Operation: 76-27=49, Resulting Numbers: [72, 46, 49]
Generated Node #2: [72, 46, 49] from Operation: 76-27=49
Current State: 75:[72, 46, 49], Operations: ['76-27=49']
Exploring Operation: 72-46=26, Resulting Numbers: [49, 26]
Generated Node #3: [49, 26] from Operation: 72-46=26
Current State: 75:[49, 26], Operations: ['76-27=49', '72-46=26']
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
25,
42,
34,
51
] | 81 | [
"34-25=9",
"51-42=9",
"9*9=81"
] | Current State: 81:[25, 42, 34, 51], Operations: []
Exploring Operation: 34-25=9, Resulting Numbers: [42, 51, 9]
Generated Node #2: [42, 51, 9] from Operation: 34-25=9
Current State: 81:[42, 51, 9], Operations: ['34-25=9']
Exploring Operation: 51-42=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 51-42=9
Current State: 81:[9, 9], Operations: ['34-25=9', '51-42=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
50,
87,
25,
33
] | 56 | [
"50/25=2",
"87-33=54",
"2+54=56"
] | Current State: 56:[50, 87, 25, 33], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [87, 33, 2]
Generated Node #2: [87, 33, 2] from Operation: 50/25=2
Current State: 56:[87, 33, 2], Operations: ['50/25=2']
Exploring Operation: 87-33=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 87-33=54
Current State: 56:[2, 54], Operations: ['50/25=2', '87-33=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
58,
32,
2,
43
] | 34 | [
"58-32=26",
"43-26=17",
"2*17=34"
] | Current State: 34:[58, 32, 2, 43], Operations: []
Exploring Operation: 58-32=26, Resulting Numbers: [2, 43, 26]
Generated Node #2: [2, 43, 26] from Operation: 58-32=26
Current State: 34:[2, 43, 26], Operations: ['58-32=26']
Exploring Operation: 43-26=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 43-26=17
Current State: 34:[2, 17], Operations: ['58-32=26', '43-26=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
68,
1,
90,
5
] | 51 | [
"68+1=69",
"90/5=18",
"69-18=51"
] | Current State: 51:[68, 1, 90, 5], Operations: []
Exploring Operation: 68+1=69, Resulting Numbers: [90, 5, 69]
Generated Node #2: [90, 5, 69] from Operation: 68+1=69
Current State: 51:[90, 5, 69], Operations: ['68+1=69']
Exploring Operation: 90/5=18, Resulting Numbers: [69, 18]
Generated Node #3: [69, 18] from Operation: 90/5=18
Current State: 51:[69, 18], Operations: ['68+1=69', '90/5=18']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
22,
82,
70
] | 17 | [
"22+82=104",
"104-70=34",
"34/2=17"
] | Current State: 17:[2, 22, 82, 70], Operations: []
Exploring Operation: 22+82=104, Resulting Numbers: [2, 70, 104]
Generated Node #2: [2, 70, 104] from Operation: 22+82=104
Current State: 17:[2, 70, 104], Operations: ['22+82=104']
Exploring Operation: 104-70=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 104-70=34
Current State: 17:[2, 34], Operations: ['22+82=104', '104-70=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
60,
51,
3,
59
] | 53 | [
"60-51=9",
"3+59=62",
"62-9=53"
] | Current State: 53:[60, 51, 3, 59], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [3, 59, 9]
Generated Node #2: [3, 59, 9] from Operation: 60-51=9
Current State: 53:[3, 59, 9], Operations: ['60-51=9']
Exploring Operation: 3+59=62, Resulting Numbers: [9, 62]
Generated Node #3: [9, 62] from Operation: 3+59=62
Current State: 53:[9, 62], Operations: ['60-51=9', '3+59=62']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
45,
66,
60,
45
] | 87 | [
"66*60=3960",
"3960-45=3915",
"3915/45=87"
] | Current State: 87:[45, 66, 60, 45], Operations: []
Exploring Operation: 66*60=3960, Resulting Numbers: [45, 45, 3960]
Generated Node #2: [45, 45, 3960] from Operation: 66*60=3960
Current State: 87:[45, 45, 3960], Operations: ['66*60=3960']
Exploring Operation: 3960-45=3915, Resulting Numbers: [3915]
3915,87 equal: Goal Reached
Exploring Operation: 3915/45=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
78,
87,
46,
5
] | 91 | [
"87-78=9",
"5*9=45",
"46+45=91"
] | Current State: 91:[78, 87, 46, 5], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [46, 5, 9]
Generated Node #2: [46, 5, 9] from Operation: 87-78=9
Current State: 91:[46, 5, 9], Operations: ['87-78=9']
Exploring Operation: 5*9=45, Resulting Numbers: [46, 45]
Generated Node #3: [46, 45] from Operation: 5*9=45
Current State: 91:[46, 45], Operations: ['87-78=9', '5*9=45']
Exploring Operation: 46+45=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
31,
19,
55,
72
] | 16 | [
"55-31=24",
"72/24=3",
"19-3=16"
] | Current State: 16:[31, 19, 55, 72], Operations: []
Exploring Operation: 55-31=24, Resulting Numbers: [19, 72, 24]
Generated Node #2: [19, 72, 24] from Operation: 55-31=24
Current State: 16:[19, 72, 24], Operations: ['55-31=24']
Exploring Operation: 72/24=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 72/24=3
Current State: 16:[19, 3], Operations: ['55-31=24', '72/24=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
28,
75,
2,
27
] | 72 | [
"75-28=47",
"27-2=25",
"47+25=72"
] | Current State: 72:[28, 75, 2, 27], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [2, 27, 47]
Generated Node #2: [2, 27, 47] from Operation: 75-28=47
Current State: 72:[2, 27, 47], Operations: ['75-28=47']
Exploring Operation: 27-2=25, Resulting Numbers: [47, 25]
Generated Node #3: [47, 25] from Operation: 27-2=25
Current State: 72:[47, 25], Operations: ['75-28=47', '27-2=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
34,
78,
75,
92
] | 39 | [
"92-75=17",
"34/17=2",
"78/2=39"
] | Current State: 39:[34, 78, 75, 92], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [34, 78, 17]
Generated Node #2: [34, 78, 17] from Operation: 92-75=17
Current State: 39:[34, 78, 17], Operations: ['92-75=17']
Exploring Operation: 34/17=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 34/17=2
Current State: 39:[78, 2], Operations: ['92-75=17', '34/17=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
86,
29,
53,
82
] | 87 | [
"29+53=82",
"82/82=1",
"86+1=87"
] | Current State: 87:[86, 29, 53, 82], Operations: []
Exploring Operation: 29+53=82, Resulting Numbers: [86, 82, 82]
Generated Node #2: [86, 82, 82] from Operation: 29+53=82
Current State: 87:[86, 82, 82], Operations: ['29+53=82']
Exploring Operation: 82/82=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 82/82=1
Current State: 87:[86, 1], Operations: ['29+53=82', '82/82=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
45,
75,
54,
5
] | 79 | [
"75-45=30",
"54-5=49",
"30+49=79"
] | Current State: 79:[45, 75, 54, 5], Operations: []
Exploring Operation: 75-45=30, Resulting Numbers: [54, 5, 30]
Generated Node #2: [54, 5, 30] from Operation: 75-45=30
Current State: 79:[54, 5, 30], Operations: ['75-45=30']
Exploring Operation: 54-5=49, Resulting Numbers: [30, 49]
Generated Node #3: [30, 49] from Operation: 54-5=49
Current State: 79:[30, 49], Operations: ['75-45=30', '54-5=49']
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
11,
48,
64,
45
] | 56 | [
"48-11=37",
"64-45=19",
"37+19=56"
] | Current State: 56:[11, 48, 64, 45], Operations: []
Exploring Operation: 48-11=37, Resulting Numbers: [64, 45, 37]
Generated Node #2: [64, 45, 37] from Operation: 48-11=37
Current State: 56:[64, 45, 37], Operations: ['48-11=37']
Exploring Operation: 64-45=19, Resulting Numbers: [37, 19]
Generated Node #3: [37, 19] from Operation: 64-45=19
Current State: 56:[37, 19], Operations: ['48-11=37', '64-45=19']
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
18,
63,
77,
81
] | 69 | [
"63+81=144",
"144/18=8",
"77-8=69"
] | Current State: 69:[18, 63, 77, 81], Operations: []
Exploring Operation: 63+81=144, Resulting Numbers: [18, 77, 144]
Generated Node #2: [18, 77, 144] from Operation: 63+81=144
Current State: 69:[18, 77, 144], Operations: ['63+81=144']
Exploring Operation: 144/18=8, Resulting Numbers: [77, 8]
Generated Node #3: [77, 8] from Operation: 144/18=8
Current State: 69:[77, 8], Operations: ['63+81=144', '144/18=8']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
96,
15,
39,
22
] | 18 | [
"39-15=24",
"96/24=4",
"22-4=18"
] | Current State: 18:[96, 15, 39, 22], Operations: []
Exploring Operation: 39-15=24, Resulting Numbers: [96, 22, 24]
Generated Node #2: [96, 22, 24] from Operation: 39-15=24
Current State: 18:[96, 22, 24], Operations: ['39-15=24']
Exploring Operation: 96/24=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 96/24=4
Current State: 18:[22, 4], Operations: ['39-15=24', '96/24=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
7,
37,
53,
50
] | 16 | [
"53-50=3",
"7*3=21",
"37-21=16"
] | Current State: 16:[7, 37, 53, 50], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [7, 37, 3]
Generated Node #2: [7, 37, 3] from Operation: 53-50=3
Current State: 16:[7, 37, 3], Operations: ['53-50=3']
Exploring Operation: 7*3=21, Resulting Numbers: [37, 21]
Generated Node #3: [37, 21] from Operation: 7*3=21
Current State: 16:[37, 21], Operations: ['53-50=3', '7*3=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
66,
21,
73,
60
] | 20 | [
"73-66=7",
"21/7=3",
"60/3=20"
] | Current State: 20:[66, 21, 73, 60], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [21, 60, 7]
Generated Node #2: [21, 60, 7] from Operation: 73-66=7
Current State: 20:[21, 60, 7], Operations: ['73-66=7']
Exploring Operation: 21/7=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 21/7=3
Current State: 20:[60, 3], Operations: ['73-66=7', '21/7=3']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
22,
30,
69,
55
] | 38 | [
"22+30=52",
"69-55=14",
"52-14=38"
] | Current State: 38:[22, 30, 69, 55], Operations: []
Exploring Operation: 22+30=52, Resulting Numbers: [69, 55, 52]
Generated Node #2: [69, 55, 52] from Operation: 22+30=52
Current State: 38:[69, 55, 52], Operations: ['22+30=52']
Exploring Operation: 69-55=14, Resulting Numbers: [52, 14]
Generated Node #3: [52, 14] from Operation: 69-55=14
Current State: 38:[52, 14], Operations: ['22+30=52', '69-55=14']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
69,
18,
41,
35
] | 11 | [
"69+18=87",
"41+35=76",
"87-76=11"
] | Current State: 11:[69, 18, 41, 35], Operations: []
Exploring Operation: 69+18=87, Resulting Numbers: [41, 35, 87]
Generated Node #2: [41, 35, 87] from Operation: 69+18=87
Current State: 11:[41, 35, 87], Operations: ['69+18=87']
Exploring Operation: 41+35=76, Resulting Numbers: [87, 76]
Generated Node #3: [87, 76] from Operation: 41+35=76
Current State: 11:[87, 76], Operations: ['69+18=87', '41+35=76']
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
29,
33,
69,
5
] | 25 | [
"69-29=40",
"40/5=8",
"33-8=25"
] | Current State: 25:[29, 33, 69, 5], Operations: []
Exploring Operation: 69-29=40, Resulting Numbers: [33, 5, 40]
Generated Node #2: [33, 5, 40] from Operation: 69-29=40
Current State: 25:[33, 5, 40], Operations: ['69-29=40']
Exploring Operation: 40/5=8, Resulting Numbers: [33, 8]
Generated Node #3: [33, 8] from Operation: 40/5=8
Current State: 25:[33, 8], Operations: ['69-29=40', '40/5=8']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
93,
93,
72,
35
] | 36 | [
"93/93=1",
"72-35=37",
"37-1=36"
] | Current State: 36:[93, 93, 72, 35], Operations: []
Exploring Operation: 93/93=1, Resulting Numbers: [72, 35, 1]
Generated Node #2: [72, 35, 1] from Operation: 93/93=1
Current State: 36:[72, 35, 1], Operations: ['93/93=1']
Exploring Operation: 72-35=37, Resulting Numbers: [1, 37]
Generated Node #3: [1, 37] from Operation: 72-35=37
Current State: 36:[1, 37], Operations: ['93/93=1', '72-35=37']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
46,
40,
7,
74
] | 19 | [
"46+40=86",
"74-7=67",
"86-67=19"
] | Current State: 19:[46, 40, 7, 74], Operations: []
Exploring Operation: 46+40=86, Resulting Numbers: [7, 74, 86]
Generated Node #2: [7, 74, 86] from Operation: 46+40=86
Current State: 19:[7, 74, 86], Operations: ['46+40=86']
Exploring Operation: 74-7=67, Resulting Numbers: [86, 67]
Generated Node #3: [86, 67] from Operation: 74-7=67
Current State: 19:[86, 67], Operations: ['46+40=86', '74-7=67']
Exploring Operation: 86-67=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
36,
26,
40,
94
] | 62 | [
"26*94=2444",
"36+2444=2480",
"2480/40=62"
] | Current State: 62:[36, 26, 40, 94], Operations: []
Exploring Operation: 26*94=2444, Resulting Numbers: [36, 40, 2444]
Generated Node #2: [36, 40, 2444] from Operation: 26*94=2444
Current State: 62:[36, 40, 2444], Operations: ['26*94=2444']
Exploring Operation: 36+2444=2480, Resulting Numbers: [40, 2480]
Generated Node #3: [40, 2480] from Operation: 36+2444=2480
Current State: 62:[40, 2480], Operations: ['26*94=2444', '36+2444=2480']
Exploring Operation: 2480/40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
74,
16,
64,
82
] | 39 | [
"74+82=156",
"64/16=4",
"156/4=39"
] | Current State: 39:[74, 16, 64, 82], Operations: []
Exploring Operation: 74+82=156, Resulting Numbers: [16, 64, 156]
Generated Node #2: [16, 64, 156] from Operation: 74+82=156
Current State: 39:[16, 64, 156], Operations: ['74+82=156']
Exploring Operation: 64/16=4, Resulting Numbers: [156, 4]
Generated Node #3: [156, 4] from Operation: 64/16=4
Current State: 39:[156, 4], Operations: ['74+82=156', '64/16=4']
Exploring Operation: 156/4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
17,
78,
6,
19
] | 75 | [
"19-17=2",
"6/2=3",
"78-3=75"
] | Current State: 75:[17, 78, 6, 19], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [78, 6, 2]
Generated Node #2: [78, 6, 2] from Operation: 19-17=2
Current State: 75:[78, 6, 2], Operations: ['19-17=2']
Exploring Operation: 6/2=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 6/2=3
Current State: 75:[78, 3], Operations: ['19-17=2', '6/2=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
65,
84,
90,
70
] | 12 | [
"65*84=5460",
"5460/70=78",
"90-78=12"
] | Current State: 12:[65, 84, 90, 70], Operations: []
Exploring Operation: 65*84=5460, Resulting Numbers: [90, 70, 5460]
Generated Node #2: [90, 70, 5460] from Operation: 65*84=5460
Current State: 12:[90, 70, 5460], Operations: ['65*84=5460']
Exploring Operation: 5460/70=78, Resulting Numbers: [90, 78]
Generated Node #3: [90, 78] from Operation: 5460/70=78
Current State: 12:[90, 78], Operations: ['65*84=5460', '5460/70=78']
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
47,
28,
74,
5
] | 98 | [
"47-28=19",
"74+5=79",
"19+79=98"
] | Current State: 98:[47, 28, 74, 5], Operations: []
Exploring Operation: 47-28=19, Resulting Numbers: [74, 5, 19]
Generated Node #2: [74, 5, 19] from Operation: 47-28=19
Current State: 98:[74, 5, 19], Operations: ['47-28=19']
Exploring Operation: 74+5=79, Resulting Numbers: [19, 79]
Generated Node #3: [19, 79] from Operation: 74+5=79
Current State: 98:[19, 79], Operations: ['47-28=19', '74+5=79']
Exploring Operation: 19+79=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
30,
12,
18,
79
] | 65 | [
"30-18=12",
"12*12=144",
"144-79=65"
] | Current State: 65:[30, 12, 18, 79], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [12, 79, 12]
Generated Node #2: [12, 79, 12] from Operation: 30-18=12
Current State: 65:[12, 79, 12], Operations: ['30-18=12']
Exploring Operation: 12*12=144, Resulting Numbers: [79, 144]
Generated Node #3: [79, 144] from Operation: 12*12=144
Current State: 65:[79, 144], Operations: ['30-18=12', '12*12=144']
Exploring Operation: 144-79=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
7,
64,
3,
12
] | 75 | [
"7+64=71",
"12/3=4",
"71+4=75"
] | Current State: 75:[7, 64, 3, 12], Operations: []
Exploring Operation: 7+64=71, Resulting Numbers: [3, 12, 71]
Generated Node #2: [3, 12, 71] from Operation: 7+64=71
Current State: 75:[3, 12, 71], Operations: ['7+64=71']
Exploring Operation: 12/3=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 12/3=4
Current State: 75:[71, 4], Operations: ['7+64=71', '12/3=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
39,
37,
10,
43
] | 77 | [
"43-39=4",
"10*4=40",
"37+40=77"
] | Current State: 77:[39, 37, 10, 43], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [37, 10, 4]
Generated Node #2: [37, 10, 4] from Operation: 43-39=4
Current State: 77:[37, 10, 4], Operations: ['43-39=4']
Exploring Operation: 10*4=40, Resulting Numbers: [37, 40]
Generated Node #3: [37, 40] from Operation: 10*4=40
Current State: 77:[37, 40], Operations: ['43-39=4', '10*4=40']
Exploring Operation: 37+40=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
37,
94,
33
] | 87 | [
"3+37=40",
"94+33=127",
"127-40=87"
] | Current State: 87:[3, 37, 94, 33], Operations: []
Exploring Operation: 3+37=40, Resulting Numbers: [94, 33, 40]
Generated Node #2: [94, 33, 40] from Operation: 3+37=40
Current State: 87:[94, 33, 40], Operations: ['3+37=40']
Exploring Operation: 94+33=127, Resulting Numbers: [40, 127]
Generated Node #3: [40, 127] from Operation: 94+33=127
Current State: 87:[40, 127], Operations: ['3+37=40', '94+33=127']
Exploring Operation: 127-40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
90,
81,
73,
71
] | 82 | [
"81-71=10",
"90/10=9",
"73+9=82"
] | Current State: 82:[90, 81, 73, 71], Operations: []
Exploring Operation: 81-71=10, Resulting Numbers: [90, 73, 10]
Generated Node #2: [90, 73, 10] from Operation: 81-71=10
Current State: 82:[90, 73, 10], Operations: ['81-71=10']
Exploring Operation: 90/10=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 90/10=9
Current State: 82:[73, 9], Operations: ['81-71=10', '90/10=9']
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
92,
23,
7,
30
] | 99 | [
"92-30=62",
"23*7=161",
"161-62=99"
] | Current State: 99:[92, 23, 7, 30], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [23, 7, 62]
Generated Node #2: [23, 7, 62] from Operation: 92-30=62
Current State: 99:[23, 7, 62], Operations: ['92-30=62']
Exploring Operation: 23*7=161, Resulting Numbers: [62, 161]
Generated Node #3: [62, 161] from Operation: 23*7=161
Current State: 99:[62, 161], Operations: ['92-30=62', '23*7=161']
Exploring Operation: 161-62=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
62,
60,
46,
33
] | 56 | [
"62-60=2",
"46/2=23",
"33+23=56"
] | Current State: 56:[62, 60, 46, 33], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [46, 33, 2]
Generated Node #2: [46, 33, 2] from Operation: 62-60=2
Current State: 56:[46, 33, 2], Operations: ['62-60=2']
Exploring Operation: 46/2=23, Resulting Numbers: [33, 23]
Generated Node #3: [33, 23] from Operation: 46/2=23
Current State: 56:[33, 23], Operations: ['62-60=2', '46/2=23']
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
17,
55,
2,
4
] | 34 | [
"17+55=72",
"72-4=68",
"68/2=34"
] | Current State: 34:[17, 55, 2, 4], Operations: []
Exploring Operation: 17+55=72, Resulting Numbers: [2, 4, 72]
Generated Node #2: [2, 4, 72] from Operation: 17+55=72
Current State: 34:[2, 4, 72], Operations: ['17+55=72']
Exploring Operation: 72-4=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 72-4=68
Current State: 34:[2, 68], Operations: ['17+55=72', '72-4=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
79,
17,
95,
29
] | 29 | [
"79+17=96",
"96-95=1",
"29*1=29"
] | Current State: 29:[79, 17, 95, 29], Operations: []
Exploring Operation: 79+17=96, Resulting Numbers: [95, 29, 96]
Generated Node #2: [95, 29, 96] from Operation: 79+17=96
Current State: 29:[95, 29, 96], Operations: ['79+17=96']
Exploring Operation: 96-95=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 96-95=1
Current State: 29:[29, 1], Operations: ['79+17=96', '96-95=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
39,
76,
30,
26
] | 69 | [
"76-30=46",
"39*46=1794",
"1794/26=69"
] | Current State: 69:[39, 76, 30, 26], Operations: []
Exploring Operation: 76-30=46, Resulting Numbers: [39, 26, 46]
Generated Node #2: [39, 26, 46] from Operation: 76-30=46
Current State: 69:[39, 26, 46], Operations: ['76-30=46']
Exploring Operation: 39*46=1794, Resulting Numbers: [26, 1794]
Generated Node #3: [26, 1794] from Operation: 39*46=1794
Current State: 69:[26, 1794], Operations: ['76-30=46', '39*46=1794']
Exploring Operation: 1794/26=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
5,
49,
15,
85
] | 85 | [
"49-15=34",
"5*34=170",
"170-85=85"
] | Current State: 85:[5, 49, 15, 85], Operations: []
Exploring Operation: 49-15=34, Resulting Numbers: [5, 85, 34]
Generated Node #2: [5, 85, 34] from Operation: 49-15=34
Current State: 85:[5, 85, 34], Operations: ['49-15=34']
Exploring Operation: 5*34=170, Resulting Numbers: [85, 170]
Generated Node #3: [85, 170] from Operation: 5*34=170
Current State: 85:[85, 170], Operations: ['49-15=34', '5*34=170']
Exploring Operation: 170-85=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
15,
54,
87,
66
] | 17 | [
"87-54=33",
"66/33=2",
"15+2=17"
] | Current State: 17:[15, 54, 87, 66], Operations: []
Exploring Operation: 87-54=33, Resulting Numbers: [15, 66, 33]
Generated Node #2: [15, 66, 33] from Operation: 87-54=33
Current State: 17:[15, 66, 33], Operations: ['87-54=33']
Exploring Operation: 66/33=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 66/33=2
Current State: 17:[15, 2], Operations: ['87-54=33', '66/33=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
34,
25,
13,
8
] | 50 | [
"34-8=26",
"25*26=650",
"650/13=50"
] | Current State: 50:[34, 25, 13, 8], Operations: []
Exploring Operation: 34-8=26, Resulting Numbers: [25, 13, 26]
Generated Node #2: [25, 13, 26] from Operation: 34-8=26
Current State: 50:[25, 13, 26], Operations: ['34-8=26']
Exploring Operation: 25*26=650, Resulting Numbers: [13, 650]
Generated Node #3: [13, 650] from Operation: 25*26=650
Current State: 50:[13, 650], Operations: ['34-8=26', '25*26=650']
Exploring Operation: 650/13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
14,
31,
55,
69
] | 31 | [
"14+31=45",
"69-55=14",
"45-14=31"
] | Current State: 31:[14, 31, 55, 69], Operations: []
Exploring Operation: 14+31=45, Resulting Numbers: [55, 69, 45]
Generated Node #2: [55, 69, 45] from Operation: 14+31=45
Current State: 31:[55, 69, 45], Operations: ['14+31=45']
Exploring Operation: 69-55=14, Resulting Numbers: [45, 14]
Generated Node #3: [45, 14] from Operation: 69-55=14
Current State: 31:[45, 14], Operations: ['14+31=45', '69-55=14']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
97,
55,
9,
73
] | 99 | [
"73-55=18",
"18/9=2",
"97+2=99"
] | Current State: 99:[97, 55, 9, 73], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [97, 9, 18]
Generated Node #2: [97, 9, 18] from Operation: 73-55=18
Current State: 99:[97, 9, 18], Operations: ['73-55=18']
Exploring Operation: 18/9=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 18/9=2
Current State: 99:[97, 2], Operations: ['73-55=18', '18/9=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
14,
69,
28,
28
] | 95 | [
"28/14=2",
"69+28=97",
"97-2=95"
] | Current State: 95:[14, 69, 28, 28], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [69, 2]
Generated Node #2: [69, 2] from Operation: 28/14=2
Current State: 95:[69, 2], Operations: ['28/14=2']
Exploring Operation: 69+28=97, Resulting Numbers: [2, 97]
Generated Node #3: [2, 97] from Operation: 69+28=97
Current State: 95:[2, 97], Operations: ['28/14=2', '69+28=97']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
14,
84,
84,
6
] | 20 | [
"14+84=98",
"84-6=78",
"98-78=20"
] | Current State: 20:[14, 84, 84, 6], Operations: []
Exploring Operation: 14+84=98, Resulting Numbers: [6, 98]
Generated Node #2: [6, 98] from Operation: 14+84=98
Current State: 20:[6, 98], Operations: ['14+84=98']
Exploring Operation: 84-6=78, Resulting Numbers: [98, 78]
Generated Node #3: [98, 78] from Operation: 84-6=78
Current State: 20:[98, 78], Operations: ['14+84=98', '84-6=78']
Exploring Operation: 98-78=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
32,
64,
68
] | 56 | [
"60*64=3840",
"3840-32=3808",
"3808/68=56"
] | Current State: 56:[60, 32, 64, 68], Operations: []
Exploring Operation: 60*64=3840, Resulting Numbers: [32, 68, 3840]
Generated Node #2: [32, 68, 3840] from Operation: 60*64=3840
Current State: 56:[32, 68, 3840], Operations: ['60*64=3840']
Exploring Operation: 3840-32=3808, Resulting Numbers: [68, 3808]
Generated Node #3: [68, 3808] from Operation: 3840-32=3808
Current State: 56:[68, 3808], Operations: ['60*64=3840', '3840-32=3808']
Exploring Operation: 3808/68=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
90,
25,
70
] | 95 | [
"91-90=1",
"25+70=95",
"1*95=95"
] | Current State: 95:[91, 90, 25, 70], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [25, 70, 1]
Generated Node #2: [25, 70, 1] from Operation: 91-90=1
Current State: 95:[25, 70, 1], Operations: ['91-90=1']
Exploring Operation: 25+70=95, Resulting Numbers: [1, 95]
Generated Node #3: [1, 95] from Operation: 25+70=95
Current State: 95:[1, 95], Operations: ['91-90=1', '25+70=95']
Exploring Operation: 1*95=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
96,
12,
52,
72
] | 12 | [
"96/12=8",
"72-52=20",
"20-8=12"
] | Current State: 12:[96, 12, 52, 72], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [52, 72, 8]
Generated Node #2: [52, 72, 8] from Operation: 96/12=8
Current State: 12:[52, 72, 8], Operations: ['96/12=8']
Exploring Operation: 72-52=20, Resulting Numbers: [8, 20]
Generated Node #3: [8, 20] from Operation: 72-52=20
Current State: 12:[8, 20], Operations: ['96/12=8', '72-52=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
44,
42,
88,
34
] | 13 | [
"44*42=1848",
"1848/88=21",
"34-21=13"
] | Current State: 13:[44, 42, 88, 34], Operations: []
Exploring Operation: 44*42=1848, Resulting Numbers: [88, 34, 1848]
Generated Node #2: [88, 34, 1848] from Operation: 44*42=1848
Current State: 13:[88, 34, 1848], Operations: ['44*42=1848']
Exploring Operation: 1848/88=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 1848/88=21
Current State: 13:[34, 21], Operations: ['44*42=1848', '1848/88=21']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
4,
66,
14,
24
] | 72 | [
"4*66=264",
"14*24=336",
"336-264=72"
] | Current State: 72:[4, 66, 14, 24], Operations: []
Exploring Operation: 4*66=264, Resulting Numbers: [14, 24, 264]
Generated Node #2: [14, 24, 264] from Operation: 4*66=264
Current State: 72:[14, 24, 264], Operations: ['4*66=264']
Exploring Operation: 14*24=336, Resulting Numbers: [264, 336]
Generated Node #3: [264, 336] from Operation: 14*24=336
Current State: 72:[264, 336], Operations: ['4*66=264', '14*24=336']
Exploring Operation: 336-264=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
27,
21,
73,
96
] | 45 | [
"27*73=1971",
"21*96=2016",
"2016-1971=45"
] | Current State: 45:[27, 21, 73, 96], Operations: []
Exploring Operation: 27*73=1971, Resulting Numbers: [21, 96, 1971]
Generated Node #2: [21, 96, 1971] from Operation: 27*73=1971
Current State: 45:[21, 96, 1971], Operations: ['27*73=1971']
Exploring Operation: 21*96=2016, Resulting Numbers: [1971, 2016]
Generated Node #3: [1971, 2016] from Operation: 21*96=2016
Current State: 45:[1971, 2016], Operations: ['27*73=1971', '21*96=2016']
Exploring Operation: 2016-1971=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
28,
30,
8,
46
] | 76 | [
"30-28=2",
"46-8=38",
"2*38=76"
] | Current State: 76:[28, 30, 8, 46], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [8, 46, 2]
Generated Node #2: [8, 46, 2] from Operation: 30-28=2
Current State: 76:[8, 46, 2], Operations: ['30-28=2']
Exploring Operation: 46-8=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 46-8=38
Current State: 76:[2, 38], Operations: ['30-28=2', '46-8=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
63,
95,
25,
47
] | 54 | [
"95-63=32",
"47-25=22",
"32+22=54"
] | Current State: 54:[63, 95, 25, 47], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [25, 47, 32]
Generated Node #2: [25, 47, 32] from Operation: 95-63=32
Current State: 54:[25, 47, 32], Operations: ['95-63=32']
Exploring Operation: 47-25=22, Resulting Numbers: [32, 22]
Generated Node #3: [32, 22] from Operation: 47-25=22
Current State: 54:[32, 22], Operations: ['95-63=32', '47-25=22']
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
2,
48,
28,
61
] | 69 | [
"2*28=56",
"61-48=13",
"56+13=69"
] | Current State: 69:[2, 48, 28, 61], Operations: []
Exploring Operation: 2*28=56, Resulting Numbers: [48, 61, 56]
Generated Node #2: [48, 61, 56] from Operation: 2*28=56
Current State: 69:[48, 61, 56], Operations: ['2*28=56']
Exploring Operation: 61-48=13, Resulting Numbers: [56, 13]
Generated Node #3: [56, 13] from Operation: 61-48=13
Current State: 69:[56, 13], Operations: ['2*28=56', '61-48=13']
Exploring Operation: 56+13=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
78,
76,
48,
88
] | 38 | [
"78-76=2",
"88-48=40",
"40-2=38"
] | Current State: 38:[78, 76, 48, 88], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [48, 88, 2]
Generated Node #2: [48, 88, 2] from Operation: 78-76=2
Current State: 38:[48, 88, 2], Operations: ['78-76=2']
Exploring Operation: 88-48=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 88-48=40
Current State: 38:[2, 40], Operations: ['78-76=2', '88-48=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
12,
2,
93,
92
] | 11 | [
"12-2=10",
"93-92=1",
"10+1=11"
] | Current State: 11:[12, 2, 93, 92], Operations: []
Exploring Operation: 12-2=10, Resulting Numbers: [93, 92, 10]
Generated Node #2: [93, 92, 10] from Operation: 12-2=10
Current State: 11:[93, 92, 10], Operations: ['12-2=10']
Exploring Operation: 93-92=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 93-92=1
Current State: 11:[10, 1], Operations: ['12-2=10', '93-92=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
68,
76,
14,
74
] | 68 | [
"76-68=8",
"74-14=60",
"8+60=68"
] | Current State: 68:[68, 76, 14, 74], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [14, 74, 8]
Generated Node #2: [14, 74, 8] from Operation: 76-68=8
Current State: 68:[14, 74, 8], Operations: ['76-68=8']
Exploring Operation: 74-14=60, Resulting Numbers: [8, 60]
Generated Node #3: [8, 60] from Operation: 74-14=60
Current State: 68:[8, 60], Operations: ['76-68=8', '74-14=60']
Exploring Operation: 8+60=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
52,
56,
37,
96
] | 61 | [
"56-52=4",
"96/4=24",
"37+24=61"
] | Current State: 61:[52, 56, 37, 96], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [37, 96, 4]
Generated Node #2: [37, 96, 4] from Operation: 56-52=4
Current State: 61:[37, 96, 4], Operations: ['56-52=4']
Exploring Operation: 96/4=24, Resulting Numbers: [37, 24]
Generated Node #3: [37, 24] from Operation: 96/4=24
Current State: 61:[37, 24], Operations: ['56-52=4', '96/4=24']
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
18,
59,
70,
50
] | 97 | [
"18+59=77",
"70-50=20",
"77+20=97"
] | Current State: 97:[18, 59, 70, 50], Operations: []
Exploring Operation: 18+59=77, Resulting Numbers: [70, 50, 77]
Generated Node #2: [70, 50, 77] from Operation: 18+59=77
Current State: 97:[70, 50, 77], Operations: ['18+59=77']
Exploring Operation: 70-50=20, Resulting Numbers: [77, 20]
Generated Node #3: [77, 20] from Operation: 70-50=20
Current State: 97:[77, 20], Operations: ['18+59=77', '70-50=20']
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
79,
34,
90,
44
] | 21 | [
"79+34=113",
"90+44=134",
"134-113=21"
] | Current State: 21:[79, 34, 90, 44], Operations: []
Exploring Operation: 79+34=113, Resulting Numbers: [90, 44, 113]
Generated Node #2: [90, 44, 113] from Operation: 79+34=113
Current State: 21:[90, 44, 113], Operations: ['79+34=113']
Exploring Operation: 90+44=134, Resulting Numbers: [113, 134]
Generated Node #3: [113, 134] from Operation: 90+44=134
Current State: 21:[113, 134], Operations: ['79+34=113', '90+44=134']
Exploring Operation: 134-113=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
92,
58,
19,
17
] | 68 | [
"92-58=34",
"19-17=2",
"34*2=68"
] | Current State: 68:[92, 58, 19, 17], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [19, 17, 34]
Generated Node #2: [19, 17, 34] from Operation: 92-58=34
Current State: 68:[19, 17, 34], Operations: ['92-58=34']
Exploring Operation: 19-17=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 19-17=2
Current State: 68:[34, 2], Operations: ['92-58=34', '19-17=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
10,
70,
31,
81
] | 75 | [
"81-31=50",
"50/10=5",
"70+5=75"
] | Current State: 75:[10, 70, 31, 81], Operations: []
Exploring Operation: 81-31=50, Resulting Numbers: [10, 70, 50]
Generated Node #2: [10, 70, 50] from Operation: 81-31=50
Current State: 75:[10, 70, 50], Operations: ['81-31=50']
Exploring Operation: 50/10=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 50/10=5
Current State: 75:[70, 5], Operations: ['81-31=50', '50/10=5']
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
91,
31,
21,
28
] | 53 | [
"91-31=60",
"28-21=7",
"60-7=53"
] | Current State: 53:[91, 31, 21, 28], Operations: []
Exploring Operation: 91-31=60, Resulting Numbers: [21, 28, 60]
Generated Node #2: [21, 28, 60] from Operation: 91-31=60
Current State: 53:[21, 28, 60], Operations: ['91-31=60']
Exploring Operation: 28-21=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 28-21=7
Current State: 53:[60, 7], Operations: ['91-31=60', '28-21=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
32,
57,
9,
13
] | 27 | [
"32-13=19",
"57*9=513",
"513/19=27"
] | Current State: 27:[32, 57, 9, 13], Operations: []
Exploring Operation: 32-13=19, Resulting Numbers: [57, 9, 19]
Generated Node #2: [57, 9, 19] from Operation: 32-13=19
Current State: 27:[57, 9, 19], Operations: ['32-13=19']
Exploring Operation: 57*9=513, Resulting Numbers: [19, 513]
Generated Node #3: [19, 513] from Operation: 57*9=513
Current State: 27:[19, 513], Operations: ['32-13=19', '57*9=513']
Exploring Operation: 513/19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
42,
12,
4,
55
] | 61 | [
"55-42=13",
"12*4=48",
"13+48=61"
] | Current State: 61:[42, 12, 4, 55], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [12, 4, 13]
Generated Node #2: [12, 4, 13] from Operation: 55-42=13
Current State: 61:[12, 4, 13], Operations: ['55-42=13']
Exploring Operation: 12*4=48, Resulting Numbers: [13, 48]
Generated Node #3: [13, 48] from Operation: 12*4=48
Current State: 61:[13, 48], Operations: ['55-42=13', '12*4=48']
Exploring Operation: 13+48=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
10,
20,
57,
17
] | 50 | [
"20-10=10",
"57-17=40",
"10+40=50"
] | Current State: 50:[10, 20, 57, 17], Operations: []
Exploring Operation: 20-10=10, Resulting Numbers: [57, 17, 10]
Generated Node #2: [57, 17, 10] from Operation: 20-10=10
Current State: 50:[57, 17, 10], Operations: ['20-10=10']
Exploring Operation: 57-17=40, Resulting Numbers: [10, 40]
Generated Node #3: [10, 40] from Operation: 57-17=40
Current State: 50:[10, 40], Operations: ['20-10=10', '57-17=40']
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
81,
2,
19,
10
] | 54 | [
"81+2=83",
"19+10=29",
"83-29=54"
] | Current State: 54:[81, 2, 19, 10], Operations: []
Exploring Operation: 81+2=83, Resulting Numbers: [19, 10, 83]
Generated Node #2: [19, 10, 83] from Operation: 81+2=83
Current State: 54:[19, 10, 83], Operations: ['81+2=83']
Exploring Operation: 19+10=29, Resulting Numbers: [83, 29]
Generated Node #3: [83, 29] from Operation: 19+10=29
Current State: 54:[83, 29], Operations: ['81+2=83', '19+10=29']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
26,
36,
21,
17
] | 13 | [
"36-21=15",
"17-15=2",
"26/2=13"
] | Current State: 13:[26, 36, 21, 17], Operations: []
Exploring Operation: 36-21=15, Resulting Numbers: [26, 17, 15]
Generated Node #2: [26, 17, 15] from Operation: 36-21=15
Current State: 13:[26, 17, 15], Operations: ['36-21=15']
Exploring Operation: 17-15=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 17-15=2
Current State: 13:[26, 2], Operations: ['36-21=15', '17-15=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
63,
2,
73,
14
] | 18 | [
"73-63=10",
"2*14=28",
"28-10=18"
] | Current State: 18:[63, 2, 73, 14], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [2, 14, 10]
Generated Node #2: [2, 14, 10] from Operation: 73-63=10
Current State: 18:[2, 14, 10], Operations: ['73-63=10']
Exploring Operation: 2*14=28, Resulting Numbers: [10, 28]
Generated Node #3: [10, 28] from Operation: 2*14=28
Current State: 18:[10, 28], Operations: ['73-63=10', '2*14=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
38,
84,
31,
75
] | 90 | [
"84-38=46",
"75-31=44",
"46+44=90"
] | Current State: 90:[38, 84, 31, 75], Operations: []
Exploring Operation: 84-38=46, Resulting Numbers: [31, 75, 46]
Generated Node #2: [31, 75, 46] from Operation: 84-38=46
Current State: 90:[31, 75, 46], Operations: ['84-38=46']
Exploring Operation: 75-31=44, Resulting Numbers: [46, 44]
Generated Node #3: [46, 44] from Operation: 75-31=44
Current State: 90:[46, 44], Operations: ['84-38=46', '75-31=44']
Exploring Operation: 46+44=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
36,
97,
38,
39
] | 19 | [
"38-36=2",
"39*2=78",
"97-78=19"
] | Current State: 19:[36, 97, 38, 39], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [97, 39, 2]
Generated Node #2: [97, 39, 2] from Operation: 38-36=2
Current State: 19:[97, 39, 2], Operations: ['38-36=2']
Exploring Operation: 39*2=78, Resulting Numbers: [97, 78]
Generated Node #3: [97, 78] from Operation: 39*2=78
Current State: 19:[97, 78], Operations: ['38-36=2', '39*2=78']
Exploring Operation: 97-78=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
8,
62,
63,
64
] | 79 | [
"64-62=2",
"8*2=16",
"63+16=79"
] | Current State: 79:[8, 62, 63, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [8, 63, 2]
Generated Node #2: [8, 63, 2] from Operation: 64-62=2
Current State: 79:[8, 63, 2], Operations: ['64-62=2']
Exploring Operation: 8*2=16, Resulting Numbers: [63, 16]
Generated Node #3: [63, 16] from Operation: 8*2=16
Current State: 79:[63, 16], Operations: ['64-62=2', '8*2=16']
Exploring Operation: 63+16=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
62,
82,
88,
86
] | 22 | [
"82-62=20",
"88-86=2",
"20+2=22"
] | Current State: 22:[62, 82, 88, 86], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [88, 86, 20]
Generated Node #2: [88, 86, 20] from Operation: 82-62=20
Current State: 22:[88, 86, 20], Operations: ['82-62=20']
Exploring Operation: 88-86=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 88-86=2
Current State: 22:[20, 2], Operations: ['82-62=20', '88-86=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
39,
13,
10,
41
] | 11 | [
"39/13=3",
"10*3=30",
"41-30=11"
] | Current State: 11:[39, 13, 10, 41], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [10, 41, 3]
Generated Node #2: [10, 41, 3] from Operation: 39/13=3
Current State: 11:[10, 41, 3], Operations: ['39/13=3']
Exploring Operation: 10*3=30, Resulting Numbers: [41, 30]
Generated Node #3: [41, 30] from Operation: 10*3=30
Current State: 11:[41, 30], Operations: ['39/13=3', '10*3=30']
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
12,
75,
46,
14
] | 31 | [
"75-12=63",
"46-14=32",
"63-32=31"
] | Current State: 31:[12, 75, 46, 14], Operations: []
Exploring Operation: 75-12=63, Resulting Numbers: [46, 14, 63]
Generated Node #2: [46, 14, 63] from Operation: 75-12=63
Current State: 31:[46, 14, 63], Operations: ['75-12=63']
Exploring Operation: 46-14=32, Resulting Numbers: [63, 32]
Generated Node #3: [63, 32] from Operation: 46-14=32
Current State: 31:[63, 32], Operations: ['75-12=63', '46-14=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
17,
3,
65,
47
] | 98 | [
"17-3=14",
"65+47=112",
"112-14=98"
] | Current State: 98:[17, 3, 65, 47], Operations: []
Exploring Operation: 17-3=14, Resulting Numbers: [65, 47, 14]
Generated Node #2: [65, 47, 14] from Operation: 17-3=14
Current State: 98:[65, 47, 14], Operations: ['17-3=14']
Exploring Operation: 65+47=112, Resulting Numbers: [14, 112]
Generated Node #3: [14, 112] from Operation: 65+47=112
Current State: 98:[14, 112], Operations: ['17-3=14', '65+47=112']
Exploring Operation: 112-14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
28,
87,
50,
25
] | 84 | [
"87-28=59",
"50-25=25",
"59+25=84"
] | Current State: 84:[28, 87, 50, 25], Operations: []
Exploring Operation: 87-28=59, Resulting Numbers: [50, 25, 59]
Generated Node #2: [50, 25, 59] from Operation: 87-28=59
Current State: 84:[50, 25, 59], Operations: ['87-28=59']
Exploring Operation: 50-25=25, Resulting Numbers: [59, 25]
Generated Node #3: [59, 25] from Operation: 50-25=25
Current State: 84:[59, 25], Operations: ['87-28=59', '50-25=25']
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
44,
40,
56,
65
] | 47 | [
"56*65=3640",
"3640/40=91",
"91-44=47"
] | Current State: 47:[44, 40, 56, 65], Operations: []
Exploring Operation: 56*65=3640, Resulting Numbers: [44, 40, 3640]
Generated Node #2: [44, 40, 3640] from Operation: 56*65=3640
Current State: 47:[44, 40, 3640], Operations: ['56*65=3640']
Exploring Operation: 3640/40=91, Resulting Numbers: [44, 91]
Generated Node #3: [44, 91] from Operation: 3640/40=91
Current State: 47:[44, 91], Operations: ['56*65=3640', '3640/40=91']
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
5,
76,
73
] | 12 | [
"76-5=71",
"73+71=144",
"144/12=12"
] | Current State: 12:[12, 5, 76, 73], Operations: []
Exploring Operation: 76-5=71, Resulting Numbers: [12, 73, 71]
Generated Node #2: [12, 73, 71] from Operation: 76-5=71
Current State: 12:[12, 73, 71], Operations: ['76-5=71']
Exploring Operation: 73+71=144, Resulting Numbers: [12, 144]
Generated Node #3: [12, 144] from Operation: 73+71=144
Current State: 12:[12, 144], Operations: ['76-5=71', '73+71=144']
Exploring Operation: 144/12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
97,
81,
69,
54
] | 55 | [
"97+81=178",
"69+54=123",
"178-123=55"
] | Current State: 55:[97, 81, 69, 54], Operations: []
Exploring Operation: 97+81=178, Resulting Numbers: [69, 54, 178]
Generated Node #2: [69, 54, 178] from Operation: 97+81=178
Current State: 55:[69, 54, 178], Operations: ['97+81=178']
Exploring Operation: 69+54=123, Resulting Numbers: [178, 123]
Generated Node #3: [178, 123] from Operation: 69+54=123
Current State: 55:[178, 123], Operations: ['97+81=178', '69+54=123']
Exploring Operation: 178-123=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
79,
42,
79,
8
] | 51 | [
"79/79=1",
"42+8=50",
"1+50=51"
] | Current State: 51:[79, 42, 79, 8], Operations: []
Exploring Operation: 79/79=1, Resulting Numbers: [42, 8, 1]
Generated Node #2: [42, 8, 1] from Operation: 79/79=1
Current State: 51:[42, 8, 1], Operations: ['79/79=1']
Exploring Operation: 42+8=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 42+8=50
Current State: 51:[1, 50], Operations: ['79/79=1', '42+8=50']
Exploring Operation: 1+50=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
62,
24,
86,
82
] | 81 | [
"62+24=86",
"86/86=1",
"82-1=81"
] | Current State: 81:[62, 24, 86, 82], Operations: []
Exploring Operation: 62+24=86, Resulting Numbers: [86, 82, 86]
Generated Node #2: [86, 82, 86] from Operation: 62+24=86
Current State: 81:[86, 82, 86], Operations: ['62+24=86']
Exploring Operation: 86/86=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 86/86=1
Current State: 81:[82, 1], Operations: ['62+24=86', '86/86=1']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
26,
73,
43,
43
] | 46 | [
"73-26=47",
"43/43=1",
"47-1=46"
] | Current State: 46:[26, 73, 43, 43], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [43, 43, 47]
Generated Node #2: [43, 43, 47] from Operation: 73-26=47
Current State: 46:[43, 43, 47], Operations: ['73-26=47']
Exploring Operation: 43/43=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 43/43=1
Current State: 46:[47, 1], Operations: ['73-26=47', '43/43=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
32,
8,
12,
35
] | 94 | [
"32*35=1120",
"8+1120=1128",
"1128/12=94"
] | Current State: 94:[32, 8, 12, 35], Operations: []
Exploring Operation: 32*35=1120, Resulting Numbers: [8, 12, 1120]
Generated Node #2: [8, 12, 1120] from Operation: 32*35=1120
Current State: 94:[8, 12, 1120], Operations: ['32*35=1120']
Exploring Operation: 8+1120=1128, Resulting Numbers: [12, 1128]
Generated Node #3: [12, 1128] from Operation: 8+1120=1128
Current State: 94:[12, 1128], Operations: ['32*35=1120', '8+1120=1128']
Exploring Operation: 1128/12=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
78,
58,
38,
44
] | 42 | [
"78+38=116",
"116/58=2",
"44-2=42"
] | Current State: 42:[78, 58, 38, 44], Operations: []
Exploring Operation: 78+38=116, Resulting Numbers: [58, 44, 116]
Generated Node #2: [58, 44, 116] from Operation: 78+38=116
Current State: 42:[58, 44, 116], Operations: ['78+38=116']
Exploring Operation: 116/58=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 116/58=2
Current State: 42:[44, 2], Operations: ['78+38=116', '116/58=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
4,
86,
28,
2
] | 57 | [
"4-2=2",
"86+28=114",
"114/2=57"
] | Current State: 57:[4, 86, 28, 2], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [86, 28, 2]
Generated Node #2: [86, 28, 2] from Operation: 4-2=2
Current State: 57:[86, 28, 2], Operations: ['4-2=2']
Exploring Operation: 86+28=114, Resulting Numbers: [2, 114]
Generated Node #3: [2, 114] from Operation: 86+28=114
Current State: 57:[2, 114], Operations: ['4-2=2', '86+28=114']
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
88,
60,
24,
16
] | 26 | [
"60-16=44",
"88/44=2",
"24+2=26"
] | Current State: 26:[88, 60, 24, 16], Operations: []
Exploring Operation: 60-16=44, Resulting Numbers: [88, 24, 44]
Generated Node #2: [88, 24, 44] from Operation: 60-16=44
Current State: 26:[88, 24, 44], Operations: ['60-16=44']
Exploring Operation: 88/44=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 88/44=2
Current State: 26:[24, 2], Operations: ['60-16=44', '88/44=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
81,
57,
85,
61
] | 96 | [
"81*61=4941",
"57*85=4845",
"4941-4845=96"
] | Current State: 96:[81, 57, 85, 61], Operations: []
Exploring Operation: 81*61=4941, Resulting Numbers: [57, 85, 4941]
Generated Node #2: [57, 85, 4941] from Operation: 81*61=4941
Current State: 96:[57, 85, 4941], Operations: ['81*61=4941']
Exploring Operation: 57*85=4845, Resulting Numbers: [4941, 4845]
Generated Node #3: [4941, 4845] from Operation: 57*85=4845
Current State: 96:[4941, 4845], Operations: ['81*61=4941', '57*85=4845']
Exploring Operation: 4941-4845=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
28,
57,
45,
63
] | 23 | [
"28+57=85",
"45+63=108",
"108-85=23"
] | Current State: 23:[28, 57, 45, 63], Operations: []
Exploring Operation: 28+57=85, Resulting Numbers: [45, 63, 85]
Generated Node #2: [45, 63, 85] from Operation: 28+57=85
Current State: 23:[45, 63, 85], Operations: ['28+57=85']
Exploring Operation: 45+63=108, Resulting Numbers: [85, 108]
Generated Node #3: [85, 108] from Operation: 45+63=108
Current State: 23:[85, 108], Operations: ['28+57=85', '45+63=108']
Exploring Operation: 108-85=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
59,
29,
21,
84
] | 84 | [
"59+29=88",
"84/21=4",
"88-4=84"
] | Current State: 84:[59, 29, 21, 84], Operations: []
Exploring Operation: 59+29=88, Resulting Numbers: [21, 84, 88]
Generated Node #2: [21, 84, 88] from Operation: 59+29=88
Current State: 84:[21, 84, 88], Operations: ['59+29=88']
Exploring Operation: 84/21=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 84/21=4
Current State: 84:[88, 4], Operations: ['59+29=88', '84/21=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
33,
86,
2,
65
] | 27 | [
"33+86=119",
"119-65=54",
"54/2=27"
] | Current State: 27:[33, 86, 2, 65], Operations: []
Exploring Operation: 33+86=119, Resulting Numbers: [2, 65, 119]
Generated Node #2: [2, 65, 119] from Operation: 33+86=119
Current State: 27:[2, 65, 119], Operations: ['33+86=119']
Exploring Operation: 119-65=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 119-65=54
Current State: 27:[2, 54], Operations: ['33+86=119', '119-65=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
15,
2,
14,
10
] | 33 | [
"15-10=5",
"2*14=28",
"5+28=33"
] | Current State: 33:[15, 2, 14, 10], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [2, 14, 5]
Generated Node #2: [2, 14, 5] from Operation: 15-10=5
Current State: 33:[2, 14, 5], Operations: ['15-10=5']
Exploring Operation: 2*14=28, Resulting Numbers: [5, 28]
Generated Node #3: [5, 28] from Operation: 2*14=28
Current State: 33:[5, 28], Operations: ['15-10=5', '2*14=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
16,
21,
72,
24
] | 79 | [
"21*72=1512",
"1512/24=63",
"16+63=79"
] | Current State: 79:[16, 21, 72, 24], Operations: []
Exploring Operation: 21*72=1512, Resulting Numbers: [16, 24, 1512]
Generated Node #2: [16, 24, 1512] from Operation: 21*72=1512
Current State: 79:[16, 24, 1512], Operations: ['21*72=1512']
Exploring Operation: 1512/24=63, Resulting Numbers: [16, 63]
Generated Node #3: [16, 63] from Operation: 1512/24=63
Current State: 79:[16, 63], Operations: ['21*72=1512', '1512/24=63']
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
76,
57,
84,
40
] | 89 | [
"76+57=133",
"84-40=44",
"133-44=89"
] | Current State: 89:[76, 57, 84, 40], Operations: []
Exploring Operation: 76+57=133, Resulting Numbers: [84, 40, 133]
Generated Node #2: [84, 40, 133] from Operation: 76+57=133
Current State: 89:[84, 40, 133], Operations: ['76+57=133']
Exploring Operation: 84-40=44, Resulting Numbers: [133, 44]
Generated Node #3: [133, 44] from Operation: 84-40=44
Current State: 89:[133, 44], Operations: ['76+57=133', '84-40=44']
Exploring Operation: 133-44=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
15,
69,
3,
1
] | 50 | [
"69-15=54",
"3+1=4",
"54-4=50"
] | Current State: 50:[15, 69, 3, 1], Operations: []
Exploring Operation: 69-15=54, Resulting Numbers: [3, 1, 54]
Generated Node #2: [3, 1, 54] from Operation: 69-15=54
Current State: 50:[3, 1, 54], Operations: ['69-15=54']
Exploring Operation: 3+1=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 3+1=4
Current State: 50:[54, 4], Operations: ['69-15=54', '3+1=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
2,
9,
2,
54
] | 95 | [
"54-2=52",
"2*52=104",
"104-9=95"
] | Current State: 95:[2, 9, 2, 54], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [9, 52]
Generated Node #2: [9, 52] from Operation: 54-2=52
Current State: 95:[9, 52], Operations: ['54-2=52']
Exploring Operation: 2*52=104, Resulting Numbers: [9, 104]
Generated Node #3: [9, 104] from Operation: 2*52=104
Current State: 95:[9, 104], Operations: ['54-2=52', '2*52=104']
Exploring Operation: 104-9=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
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