nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
78,
12,
14,
94
] | 91 | [
"12+14=26",
"78/26=3",
"94-3=91"
] | Current State: 91:[78, 12, 14, 94], Operations: []
Exploring Operation: 12+14=26, Resulting Numbers: [78, 94, 26]
Generated Node #2: [78, 94, 26] from Operation: 12+14=26
Current State: 91:[78, 94, 26], Operations: ['12+14=26']
Exploring Operation: 78/26=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 78/26=3
Current State: 91:[94, 3], Operations: ['12+14=26', '78/26=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
55,
72,
30
] | 65 | [
"72-55=17",
"30-17=13",
"5*13=65"
] | Current State: 65:[5, 55, 72, 30], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [5, 30, 17]
Generated Node #2: [5, 30, 17] from Operation: 72-55=17
Current State: 65:[5, 30, 17], Operations: ['72-55=17']
Exploring Operation: 30-17=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 30-17=13
Current State: 65:[5, 13], Operations: ['72-55=17', '30-17=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
5,
97,
7,
5
] | 97 | [
"5-5=0",
"7*0=0",
"97+0=97"
] | Current State: 97:[5, 97, 7, 5], Operations: []
Exploring Operation: 5-5=0, Resulting Numbers: [97, 7, 0]
Generated Node #2: [97, 7, 0] from Operation: 5-5=0
Current State: 97:[97, 7, 0], Operations: ['5-5=0']
Exploring Operation: 7*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 7*0=0
Current State: 97:[97, 0], Operations: ['5-5=0', '7*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
78,
33,
34,
42
] | 36 | [
"78-42=36",
"34-33=1",
"36*1=36"
] | Current State: 36:[78, 33, 34, 42], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [33, 34, 36]
Generated Node #2: [33, 34, 36] from Operation: 78-42=36
Current State: 36:[33, 34, 36], Operations: ['78-42=36']
Exploring Operation: 34-33=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 34-33=1
Current State: 36:[36, 1], Operations: ['78-42=36', '34-33=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
60,
95,
56,
31
] | 29 | [
"60-56=4",
"31*4=124",
"124-95=29"
] | Current State: 29:[60, 95, 56, 31], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [95, 31, 4]
Generated Node #2: [95, 31, 4] from Operation: 60-56=4
Current State: 29:[95, 31, 4], Operations: ['60-56=4']
Exploring Operation: 31*4=124, Resulting Numbers: [95, 124]
Generated Node #3: [95, 124] from Operation: 31*4=124
Current State: 29:[95, 124], Operations: ['60-56=4', '31*4=124']
Exploring Operation: 124-95=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
7,
18,
21,
64
] | 54 | [
"18-7=11",
"64-21=43",
"11+43=54"
] | Current State: 54:[7, 18, 21, 64], Operations: []
Exploring Operation: 18-7=11, Resulting Numbers: [21, 64, 11]
Generated Node #2: [21, 64, 11] from Operation: 18-7=11
Current State: 54:[21, 64, 11], Operations: ['18-7=11']
Exploring Operation: 64-21=43, Resulting Numbers: [11, 43]
Generated Node #3: [11, 43] from Operation: 64-21=43
Current State: 54:[11, 43], Operations: ['18-7=11', '64-21=43']
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
16,
94,
55,
2
] | 94 | [
"94-16=78",
"78/2=39",
"55+39=94"
] | Current State: 94:[16, 94, 55, 2], Operations: []
Exploring Operation: 94-16=78, Resulting Numbers: [55, 2, 78]
Generated Node #2: [55, 2, 78] from Operation: 94-16=78
Current State: 94:[55, 2, 78], Operations: ['94-16=78']
Exploring Operation: 78/2=39, Resulting Numbers: [55, 39]
Generated Node #3: [55, 39] from Operation: 78/2=39
Current State: 94:[55, 39], Operations: ['94-16=78', '78/2=39']
Exploring Operation: 55+39=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
49,
54,
50,
32
] | 87 | [
"54-49=5",
"50+32=82",
"5+82=87"
] | Current State: 87:[49, 54, 50, 32], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [50, 32, 5]
Generated Node #2: [50, 32, 5] from Operation: 54-49=5
Current State: 87:[50, 32, 5], Operations: ['54-49=5']
Exploring Operation: 50+32=82, Resulting Numbers: [5, 82]
Generated Node #3: [5, 82] from Operation: 50+32=82
Current State: 87:[5, 82], Operations: ['54-49=5', '50+32=82']
Exploring Operation: 5+82=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
45,
29,
30,
13
] | 58 | [
"45-30=15",
"15-13=2",
"29*2=58"
] | Current State: 58:[45, 29, 30, 13], Operations: []
Exploring Operation: 45-30=15, Resulting Numbers: [29, 13, 15]
Generated Node #2: [29, 13, 15] from Operation: 45-30=15
Current State: 58:[29, 13, 15], Operations: ['45-30=15']
Exploring Operation: 15-13=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 15-13=2
Current State: 58:[29, 2], Operations: ['45-30=15', '15-13=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
50,
42,
82,
41
] | 31 | [
"50+42=92",
"82+41=123",
"123-92=31"
] | Current State: 31:[50, 42, 82, 41], Operations: []
Exploring Operation: 50+42=92, Resulting Numbers: [82, 41, 92]
Generated Node #2: [82, 41, 92] from Operation: 50+42=92
Current State: 31:[82, 41, 92], Operations: ['50+42=92']
Exploring Operation: 82+41=123, Resulting Numbers: [92, 123]
Generated Node #3: [92, 123] from Operation: 82+41=123
Current State: 31:[92, 123], Operations: ['50+42=92', '82+41=123']
Exploring Operation: 123-92=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
27,
27,
3,
31
] | 23 | [
"27*3=81",
"27+31=58",
"81-58=23"
] | Current State: 23:[27, 27, 3, 31], Operations: []
Exploring Operation: 27*3=81, Resulting Numbers: [31, 81]
Generated Node #2: [31, 81] from Operation: 27*3=81
Current State: 23:[31, 81], Operations: ['27*3=81']
Exploring Operation: 27+31=58, Resulting Numbers: [81, 58]
Generated Node #3: [81, 58] from Operation: 27+31=58
Current State: 23:[81, 58], Operations: ['27*3=81', '27+31=58']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
31,
34,
97,
78
] | 84 | [
"31+34=65",
"97-78=19",
"65+19=84"
] | Current State: 84:[31, 34, 97, 78], Operations: []
Exploring Operation: 31+34=65, Resulting Numbers: [97, 78, 65]
Generated Node #2: [97, 78, 65] from Operation: 31+34=65
Current State: 84:[97, 78, 65], Operations: ['31+34=65']
Exploring Operation: 97-78=19, Resulting Numbers: [65, 19]
Generated Node #3: [65, 19] from Operation: 97-78=19
Current State: 84:[65, 19], Operations: ['31+34=65', '97-78=19']
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
23,
73,
18,
71
] | 31 | [
"73+71=144",
"144/18=8",
"23+8=31"
] | Current State: 31:[23, 73, 18, 71], Operations: []
Exploring Operation: 73+71=144, Resulting Numbers: [23, 18, 144]
Generated Node #2: [23, 18, 144] from Operation: 73+71=144
Current State: 31:[23, 18, 144], Operations: ['73+71=144']
Exploring Operation: 144/18=8, Resulting Numbers: [23, 8]
Generated Node #3: [23, 8] from Operation: 144/18=8
Current State: 31:[23, 8], Operations: ['73+71=144', '144/18=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
61,
45,
91,
34
] | 73 | [
"61-45=16",
"91-34=57",
"16+57=73"
] | Current State: 73:[61, 45, 91, 34], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [91, 34, 16]
Generated Node #2: [91, 34, 16] from Operation: 61-45=16
Current State: 73:[91, 34, 16], Operations: ['61-45=16']
Exploring Operation: 91-34=57, Resulting Numbers: [16, 57]
Generated Node #3: [16, 57] from Operation: 91-34=57
Current State: 73:[16, 57], Operations: ['61-45=16', '91-34=57']
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
20,
22,
46,
68
] | 11 | [
"22-20=2",
"68-46=22",
"22/2=11"
] | Current State: 11:[20, 22, 46, 68], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [46, 68, 2]
Generated Node #2: [46, 68, 2] from Operation: 22-20=2
Current State: 11:[46, 68, 2], Operations: ['22-20=2']
Exploring Operation: 68-46=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 68-46=22
Current State: 11:[2, 22], Operations: ['22-20=2', '68-46=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
49,
11,
66,
14
] | 41 | [
"49-14=35",
"66/11=6",
"35+6=41"
] | Current State: 41:[49, 11, 66, 14], Operations: []
Exploring Operation: 49-14=35, Resulting Numbers: [11, 66, 35]
Generated Node #2: [11, 66, 35] from Operation: 49-14=35
Current State: 41:[11, 66, 35], Operations: ['49-14=35']
Exploring Operation: 66/11=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 66/11=6
Current State: 41:[35, 6], Operations: ['49-14=35', '66/11=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
1,
84,
90,
20
] | 26 | [
"1*84=84",
"90+20=110",
"110-84=26"
] | Current State: 26:[1, 84, 90, 20], Operations: []
Exploring Operation: 1*84=84, Resulting Numbers: [90, 20, 84]
Generated Node #2: [90, 20, 84] from Operation: 1*84=84
Current State: 26:[90, 20, 84], Operations: ['1*84=84']
Exploring Operation: 90+20=110, Resulting Numbers: [84, 110]
Generated Node #3: [84, 110] from Operation: 90+20=110
Current State: 26:[84, 110], Operations: ['1*84=84', '90+20=110']
Exploring Operation: 110-84=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
11,
60,
57,
49
] | 40 | [
"49-11=38",
"60*38=2280",
"2280/57=40"
] | Current State: 40:[11, 60, 57, 49], Operations: []
Exploring Operation: 49-11=38, Resulting Numbers: [60, 57, 38]
Generated Node #2: [60, 57, 38] from Operation: 49-11=38
Current State: 40:[60, 57, 38], Operations: ['49-11=38']
Exploring Operation: 60*38=2280, Resulting Numbers: [57, 2280]
Generated Node #3: [57, 2280] from Operation: 60*38=2280
Current State: 40:[57, 2280], Operations: ['49-11=38', '60*38=2280']
Exploring Operation: 2280/57=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
75,
31,
83,
88
] | 81 | [
"75-31=44",
"88/44=2",
"83-2=81"
] | Current State: 81:[75, 31, 83, 88], Operations: []
Exploring Operation: 75-31=44, Resulting Numbers: [83, 88, 44]
Generated Node #2: [83, 88, 44] from Operation: 75-31=44
Current State: 81:[83, 88, 44], Operations: ['75-31=44']
Exploring Operation: 88/44=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 88/44=2
Current State: 81:[83, 2], Operations: ['75-31=44', '88/44=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
62,
89,
18,
52
] | 25 | [
"89*18=1602",
"1602-52=1550",
"1550/62=25"
] | Current State: 25:[62, 89, 18, 52], Operations: []
Exploring Operation: 89*18=1602, Resulting Numbers: [62, 52, 1602]
Generated Node #2: [62, 52, 1602] from Operation: 89*18=1602
Current State: 25:[62, 52, 1602], Operations: ['89*18=1602']
Exploring Operation: 1602-52=1550, Resulting Numbers: [62, 1550]
Generated Node #3: [62, 1550] from Operation: 1602-52=1550
Current State: 25:[62, 1550], Operations: ['89*18=1602', '1602-52=1550']
Exploring Operation: 1550/62=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
50,
55,
74,
44
] | 33 | [
"74-44=30",
"55*30=1650",
"1650/50=33"
] | Current State: 33:[50, 55, 74, 44], Operations: []
Exploring Operation: 74-44=30, Resulting Numbers: [50, 55, 30]
Generated Node #2: [50, 55, 30] from Operation: 74-44=30
Current State: 33:[50, 55, 30], Operations: ['74-44=30']
Exploring Operation: 55*30=1650, Resulting Numbers: [50, 1650]
Generated Node #3: [50, 1650] from Operation: 55*30=1650
Current State: 33:[50, 1650], Operations: ['74-44=30', '55*30=1650']
Exploring Operation: 1650/50=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
57,
21,
79,
29
] | 59 | [
"79-21=58",
"58/29=2",
"57+2=59"
] | Current State: 59:[57, 21, 79, 29], Operations: []
Exploring Operation: 79-21=58, Resulting Numbers: [57, 29, 58]
Generated Node #2: [57, 29, 58] from Operation: 79-21=58
Current State: 59:[57, 29, 58], Operations: ['79-21=58']
Exploring Operation: 58/29=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 58/29=2
Current State: 59:[57, 2], Operations: ['79-21=58', '58/29=2']
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
76,
77,
24,
11
] | 92 | [
"77*24=1848",
"1848/11=168",
"168-76=92"
] | Current State: 92:[76, 77, 24, 11], Operations: []
Exploring Operation: 77*24=1848, Resulting Numbers: [76, 11, 1848]
Generated Node #2: [76, 11, 1848] from Operation: 77*24=1848
Current State: 92:[76, 11, 1848], Operations: ['77*24=1848']
Exploring Operation: 1848/11=168, Resulting Numbers: [76, 168]
Generated Node #3: [76, 168] from Operation: 1848/11=168
Current State: 92:[76, 168], Operations: ['77*24=1848', '1848/11=168']
Exploring Operation: 168-76=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
37,
19,
96,
9
] | 16 | [
"37+96=133",
"133/19=7",
"9+7=16"
] | Current State: 16:[37, 19, 96, 9], Operations: []
Exploring Operation: 37+96=133, Resulting Numbers: [19, 9, 133]
Generated Node #2: [19, 9, 133] from Operation: 37+96=133
Current State: 16:[19, 9, 133], Operations: ['37+96=133']
Exploring Operation: 133/19=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 133/19=7
Current State: 16:[9, 7], Operations: ['37+96=133', '133/19=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
66,
5,
56,
45
] | 49 | [
"66-45=21",
"5*21=105",
"105-56=49"
] | Current State: 49:[66, 5, 56, 45], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [5, 56, 21]
Generated Node #2: [5, 56, 21] from Operation: 66-45=21
Current State: 49:[5, 56, 21], Operations: ['66-45=21']
Exploring Operation: 5*21=105, Resulting Numbers: [56, 105]
Generated Node #3: [56, 105] from Operation: 5*21=105
Current State: 49:[56, 105], Operations: ['66-45=21', '5*21=105']
Exploring Operation: 105-56=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
21,
51,
45,
64
] | 31 | [
"21*64=1344",
"51+1344=1395",
"1395/45=31"
] | Current State: 31:[21, 51, 45, 64], Operations: []
Exploring Operation: 21*64=1344, Resulting Numbers: [51, 45, 1344]
Generated Node #2: [51, 45, 1344] from Operation: 21*64=1344
Current State: 31:[51, 45, 1344], Operations: ['21*64=1344']
Exploring Operation: 51+1344=1395, Resulting Numbers: [45, 1395]
Generated Node #3: [45, 1395] from Operation: 51+1344=1395
Current State: 31:[45, 1395], Operations: ['21*64=1344', '51+1344=1395']
Exploring Operation: 1395/45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
5,
79,
6,
43
] | 47 | [
"5+79=84",
"43-6=37",
"84-37=47"
] | Current State: 47:[5, 79, 6, 43], Operations: []
Exploring Operation: 5+79=84, Resulting Numbers: [6, 43, 84]
Generated Node #2: [6, 43, 84] from Operation: 5+79=84
Current State: 47:[6, 43, 84], Operations: ['5+79=84']
Exploring Operation: 43-6=37, Resulting Numbers: [84, 37]
Generated Node #3: [84, 37] from Operation: 43-6=37
Current State: 47:[84, 37], Operations: ['5+79=84', '43-6=37']
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
2,
16,
93,
82
] | 60 | [
"82-16=66",
"66/2=33",
"93-33=60"
] | Current State: 60:[2, 16, 93, 82], Operations: []
Exploring Operation: 82-16=66, Resulting Numbers: [2, 93, 66]
Generated Node #2: [2, 93, 66] from Operation: 82-16=66
Current State: 60:[2, 93, 66], Operations: ['82-16=66']
Exploring Operation: 66/2=33, Resulting Numbers: [93, 33]
Generated Node #3: [93, 33] from Operation: 66/2=33
Current State: 60:[93, 33], Operations: ['82-16=66', '66/2=33']
Exploring Operation: 93-33=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
10,
28,
42,
32
] | 28 | [
"10+28=38",
"42-32=10",
"38-10=28"
] | Current State: 28:[10, 28, 42, 32], Operations: []
Exploring Operation: 10+28=38, Resulting Numbers: [42, 32, 38]
Generated Node #2: [42, 32, 38] from Operation: 10+28=38
Current State: 28:[42, 32, 38], Operations: ['10+28=38']
Exploring Operation: 42-32=10, Resulting Numbers: [38, 10]
Generated Node #3: [38, 10] from Operation: 42-32=10
Current State: 28:[38, 10], Operations: ['10+28=38', '42-32=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
82,
3,
2,
65
] | 61 | [
"65-2=63",
"63/3=21",
"82-21=61"
] | Current State: 61:[82, 3, 2, 65], Operations: []
Exploring Operation: 65-2=63, Resulting Numbers: [82, 3, 63]
Generated Node #2: [82, 3, 63] from Operation: 65-2=63
Current State: 61:[82, 3, 63], Operations: ['65-2=63']
Exploring Operation: 63/3=21, Resulting Numbers: [82, 21]
Generated Node #3: [82, 21] from Operation: 63/3=21
Current State: 61:[82, 21], Operations: ['65-2=63', '63/3=21']
Exploring Operation: 82-21=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
43,
1,
10,
36
] | 71 | [
"43-36=7",
"10*7=70",
"1+70=71"
] | Current State: 71:[43, 1, 10, 36], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [1, 10, 7]
Generated Node #2: [1, 10, 7] from Operation: 43-36=7
Current State: 71:[1, 10, 7], Operations: ['43-36=7']
Exploring Operation: 10*7=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 10*7=70
Current State: 71:[1, 70], Operations: ['43-36=7', '10*7=70']
Exploring Operation: 1+70=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
15,
44,
3,
23
] | 62 | [
"15/3=5",
"44+23=67",
"67-5=62"
] | Current State: 62:[15, 44, 3, 23], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [44, 23, 5]
Generated Node #2: [44, 23, 5] from Operation: 15/3=5
Current State: 62:[44, 23, 5], Operations: ['15/3=5']
Exploring Operation: 44+23=67, Resulting Numbers: [5, 67]
Generated Node #3: [5, 67] from Operation: 44+23=67
Current State: 62:[5, 67], Operations: ['15/3=5', '44+23=67']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
22,
6,
32,
52
] | 12 | [
"22+32=54",
"54-52=2",
"6*2=12"
] | Current State: 12:[22, 6, 32, 52], Operations: []
Exploring Operation: 22+32=54, Resulting Numbers: [6, 52, 54]
Generated Node #2: [6, 52, 54] from Operation: 22+32=54
Current State: 12:[6, 52, 54], Operations: ['22+32=54']
Exploring Operation: 54-52=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 54-52=2
Current State: 12:[6, 2], Operations: ['22+32=54', '54-52=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
47,
89,
18,
50
] | 26 | [
"89-47=42",
"18+50=68",
"68-42=26"
] | Current State: 26:[47, 89, 18, 50], Operations: []
Exploring Operation: 89-47=42, Resulting Numbers: [18, 50, 42]
Generated Node #2: [18, 50, 42] from Operation: 89-47=42
Current State: 26:[18, 50, 42], Operations: ['89-47=42']
Exploring Operation: 18+50=68, Resulting Numbers: [42, 68]
Generated Node #3: [42, 68] from Operation: 18+50=68
Current State: 26:[42, 68], Operations: ['89-47=42', '18+50=68']
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
11,
21,
16,
34
] | 82 | [
"11+21=32",
"16+34=50",
"32+50=82"
] | Current State: 82:[11, 21, 16, 34], Operations: []
Exploring Operation: 11+21=32, Resulting Numbers: [16, 34, 32]
Generated Node #2: [16, 34, 32] from Operation: 11+21=32
Current State: 82:[16, 34, 32], Operations: ['11+21=32']
Exploring Operation: 16+34=50, Resulting Numbers: [32, 50]
Generated Node #3: [32, 50] from Operation: 16+34=50
Current State: 82:[32, 50], Operations: ['11+21=32', '16+34=50']
Exploring Operation: 32+50=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
50,
40,
93,
51
] | 17 | [
"50+40=90",
"93-90=3",
"51/3=17"
] | Current State: 17:[50, 40, 93, 51], Operations: []
Exploring Operation: 50+40=90, Resulting Numbers: [93, 51, 90]
Generated Node #2: [93, 51, 90] from Operation: 50+40=90
Current State: 17:[93, 51, 90], Operations: ['50+40=90']
Exploring Operation: 93-90=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 93-90=3
Current State: 17:[51, 3], Operations: ['50+40=90', '93-90=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
99,
14,
20,
6
] | 71 | [
"99-14=85",
"20-6=14",
"85-14=71"
] | Current State: 71:[99, 14, 20, 6], Operations: []
Exploring Operation: 99-14=85, Resulting Numbers: [20, 6, 85]
Generated Node #2: [20, 6, 85] from Operation: 99-14=85
Current State: 71:[20, 6, 85], Operations: ['99-14=85']
Exploring Operation: 20-6=14, Resulting Numbers: [85, 14]
Generated Node #3: [85, 14] from Operation: 20-6=14
Current State: 71:[85, 14], Operations: ['99-14=85', '20-6=14']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
20,
37,
61,
89
] | 11 | [
"37-20=17",
"89-61=28",
"28-17=11"
] | Current State: 11:[20, 37, 61, 89], Operations: []
Exploring Operation: 37-20=17, Resulting Numbers: [61, 89, 17]
Generated Node #2: [61, 89, 17] from Operation: 37-20=17
Current State: 11:[61, 89, 17], Operations: ['37-20=17']
Exploring Operation: 89-61=28, Resulting Numbers: [17, 28]
Generated Node #3: [17, 28] from Operation: 89-61=28
Current State: 11:[17, 28], Operations: ['37-20=17', '89-61=28']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
75,
63,
57,
55
] | 26 | [
"75+63=138",
"57+55=112",
"138-112=26"
] | Current State: 26:[75, 63, 57, 55], Operations: []
Exploring Operation: 75+63=138, Resulting Numbers: [57, 55, 138]
Generated Node #2: [57, 55, 138] from Operation: 75+63=138
Current State: 26:[57, 55, 138], Operations: ['75+63=138']
Exploring Operation: 57+55=112, Resulting Numbers: [138, 112]
Generated Node #3: [138, 112] from Operation: 57+55=112
Current State: 26:[138, 112], Operations: ['75+63=138', '57+55=112']
Exploring Operation: 138-112=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
78,
44,
55,
66
] | 80 | [
"44+66=110",
"110/55=2",
"78+2=80"
] | Current State: 80:[78, 44, 55, 66], Operations: []
Exploring Operation: 44+66=110, Resulting Numbers: [78, 55, 110]
Generated Node #2: [78, 55, 110] from Operation: 44+66=110
Current State: 80:[78, 55, 110], Operations: ['44+66=110']
Exploring Operation: 110/55=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 110/55=2
Current State: 80:[78, 2], Operations: ['44+66=110', '110/55=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
96,
47,
94,
81
] | 36 | [
"96-47=49",
"94-81=13",
"49-13=36"
] | Current State: 36:[96, 47, 94, 81], Operations: []
Exploring Operation: 96-47=49, Resulting Numbers: [94, 81, 49]
Generated Node #2: [94, 81, 49] from Operation: 96-47=49
Current State: 36:[94, 81, 49], Operations: ['96-47=49']
Exploring Operation: 94-81=13, Resulting Numbers: [49, 13]
Generated Node #3: [49, 13] from Operation: 94-81=13
Current State: 36:[49, 13], Operations: ['96-47=49', '94-81=13']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
66,
48,
23,
37
] | 29 | [
"48-37=11",
"66/11=6",
"23+6=29"
] | Current State: 29:[66, 48, 23, 37], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [66, 23, 11]
Generated Node #2: [66, 23, 11] from Operation: 48-37=11
Current State: 29:[66, 23, 11], Operations: ['48-37=11']
Exploring Operation: 66/11=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 66/11=6
Current State: 29:[23, 6], Operations: ['48-37=11', '66/11=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
30,
5,
84,
31
] | 89 | [
"31-30=1",
"5+84=89",
"1*89=89"
] | Current State: 89:[30, 5, 84, 31], Operations: []
Exploring Operation: 31-30=1, Resulting Numbers: [5, 84, 1]
Generated Node #2: [5, 84, 1] from Operation: 31-30=1
Current State: 89:[5, 84, 1], Operations: ['31-30=1']
Exploring Operation: 5+84=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 5+84=89
Current State: 89:[1, 89], Operations: ['31-30=1', '5+84=89']
Exploring Operation: 1*89=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
49,
20,
9,
16
] | 27 | [
"16-9=7",
"49/7=7",
"20+7=27"
] | Current State: 27:[49, 20, 9, 16], Operations: []
Exploring Operation: 16-9=7, Resulting Numbers: [49, 20, 7]
Generated Node #2: [49, 20, 7] from Operation: 16-9=7
Current State: 27:[49, 20, 7], Operations: ['16-9=7']
Exploring Operation: 49/7=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 49/7=7
Current State: 27:[20, 7], Operations: ['16-9=7', '49/7=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
20,
78,
8,
43
] | 40 | [
"78+8=86",
"20*86=1720",
"1720/43=40"
] | Current State: 40:[20, 78, 8, 43], Operations: []
Exploring Operation: 78+8=86, Resulting Numbers: [20, 43, 86]
Generated Node #2: [20, 43, 86] from Operation: 78+8=86
Current State: 40:[20, 43, 86], Operations: ['78+8=86']
Exploring Operation: 20*86=1720, Resulting Numbers: [43, 1720]
Generated Node #3: [43, 1720] from Operation: 20*86=1720
Current State: 40:[43, 1720], Operations: ['78+8=86', '20*86=1720']
Exploring Operation: 1720/43=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
42,
53,
35,
32
] | 92 | [
"42+53=95",
"35-32=3",
"95-3=92"
] | Current State: 92:[42, 53, 35, 32], Operations: []
Exploring Operation: 42+53=95, Resulting Numbers: [35, 32, 95]
Generated Node #2: [35, 32, 95] from Operation: 42+53=95
Current State: 92:[35, 32, 95], Operations: ['42+53=95']
Exploring Operation: 35-32=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 35-32=3
Current State: 92:[95, 3], Operations: ['42+53=95', '35-32=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
76,
84,
31,
34
] | 95 | [
"76+84=160",
"31+34=65",
"160-65=95"
] | Current State: 95:[76, 84, 31, 34], Operations: []
Exploring Operation: 76+84=160, Resulting Numbers: [31, 34, 160]
Generated Node #2: [31, 34, 160] from Operation: 76+84=160
Current State: 95:[31, 34, 160], Operations: ['76+84=160']
Exploring Operation: 31+34=65, Resulting Numbers: [160, 65]
Generated Node #3: [160, 65] from Operation: 31+34=65
Current State: 95:[160, 65], Operations: ['76+84=160', '31+34=65']
Exploring Operation: 160-65=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
54,
18,
83,
8
] | 59 | [
"54/18=3",
"8*3=24",
"83-24=59"
] | Current State: 59:[54, 18, 83, 8], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [83, 8, 3]
Generated Node #2: [83, 8, 3] from Operation: 54/18=3
Current State: 59:[83, 8, 3], Operations: ['54/18=3']
Exploring Operation: 8*3=24, Resulting Numbers: [83, 24]
Generated Node #3: [83, 24] from Operation: 8*3=24
Current State: 59:[83, 24], Operations: ['54/18=3', '8*3=24']
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
35,
53,
97,
51
] | 42 | [
"35+53=88",
"97-51=46",
"88-46=42"
] | Current State: 42:[35, 53, 97, 51], Operations: []
Exploring Operation: 35+53=88, Resulting Numbers: [97, 51, 88]
Generated Node #2: [97, 51, 88] from Operation: 35+53=88
Current State: 42:[97, 51, 88], Operations: ['35+53=88']
Exploring Operation: 97-51=46, Resulting Numbers: [88, 46]
Generated Node #3: [88, 46] from Operation: 97-51=46
Current State: 42:[88, 46], Operations: ['35+53=88', '97-51=46']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
24,
46,
94,
51
] | 26 | [
"51-46=5",
"24*5=120",
"120-94=26"
] | Current State: 26:[24, 46, 94, 51], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [24, 94, 5]
Generated Node #2: [24, 94, 5] from Operation: 51-46=5
Current State: 26:[24, 94, 5], Operations: ['51-46=5']
Exploring Operation: 24*5=120, Resulting Numbers: [94, 120]
Generated Node #3: [94, 120] from Operation: 24*5=120
Current State: 26:[94, 120], Operations: ['51-46=5', '24*5=120']
Exploring Operation: 120-94=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
33,
80,
99,
57
] | 88 | [
"33+57=90",
"80*99=7920",
"7920/90=88"
] | Current State: 88:[33, 80, 99, 57], Operations: []
Exploring Operation: 33+57=90, Resulting Numbers: [80, 99, 90]
Generated Node #2: [80, 99, 90] from Operation: 33+57=90
Current State: 88:[80, 99, 90], Operations: ['33+57=90']
Exploring Operation: 80*99=7920, Resulting Numbers: [90, 7920]
Generated Node #3: [90, 7920] from Operation: 80*99=7920
Current State: 88:[90, 7920], Operations: ['33+57=90', '80*99=7920']
Exploring Operation: 7920/90=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
51,
16,
14,
81
] | 66 | [
"51+81=132",
"16-14=2",
"132/2=66"
] | Current State: 66:[51, 16, 14, 81], Operations: []
Exploring Operation: 51+81=132, Resulting Numbers: [16, 14, 132]
Generated Node #2: [16, 14, 132] from Operation: 51+81=132
Current State: 66:[16, 14, 132], Operations: ['51+81=132']
Exploring Operation: 16-14=2, Resulting Numbers: [132, 2]
Generated Node #3: [132, 2] from Operation: 16-14=2
Current State: 66:[132, 2], Operations: ['51+81=132', '16-14=2']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
55,
17,
97,
72
] | 96 | [
"55+17=72",
"72/72=1",
"97-1=96"
] | Current State: 96:[55, 17, 97, 72], Operations: []
Exploring Operation: 55+17=72, Resulting Numbers: [97, 72, 72]
Generated Node #2: [97, 72, 72] from Operation: 55+17=72
Current State: 96:[97, 72, 72], Operations: ['55+17=72']
Exploring Operation: 72/72=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 72/72=1
Current State: 96:[97, 1], Operations: ['55+17=72', '72/72=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
40,
22,
2,
5
] | 41 | [
"40-22=18",
"2*18=36",
"5+36=41"
] | Current State: 41:[40, 22, 2, 5], Operations: []
Exploring Operation: 40-22=18, Resulting Numbers: [2, 5, 18]
Generated Node #2: [2, 5, 18] from Operation: 40-22=18
Current State: 41:[2, 5, 18], Operations: ['40-22=18']
Exploring Operation: 2*18=36, Resulting Numbers: [5, 36]
Generated Node #3: [5, 36] from Operation: 2*18=36
Current State: 41:[5, 36], Operations: ['40-22=18', '2*18=36']
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
16,
7,
5,
13
] | 38 | [
"16-13=3",
"7*5=35",
"3+35=38"
] | Current State: 38:[16, 7, 5, 13], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [7, 5, 3]
Generated Node #2: [7, 5, 3] from Operation: 16-13=3
Current State: 38:[7, 5, 3], Operations: ['16-13=3']
Exploring Operation: 7*5=35, Resulting Numbers: [3, 35]
Generated Node #3: [3, 35] from Operation: 7*5=35
Current State: 38:[3, 35], Operations: ['16-13=3', '7*5=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
52,
10,
17,
25
] | 28 | [
"25-17=8",
"10*8=80",
"80-52=28"
] | Current State: 28:[52, 10, 17, 25], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [52, 10, 8]
Generated Node #2: [52, 10, 8] from Operation: 25-17=8
Current State: 28:[52, 10, 8], Operations: ['25-17=8']
Exploring Operation: 10*8=80, Resulting Numbers: [52, 80]
Generated Node #3: [52, 80] from Operation: 10*8=80
Current State: 28:[52, 80], Operations: ['25-17=8', '10*8=80']
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
27,
19,
64,
3
] | 59 | [
"27-19=8",
"64+3=67",
"67-8=59"
] | Current State: 59:[27, 19, 64, 3], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [64, 3, 8]
Generated Node #2: [64, 3, 8] from Operation: 27-19=8
Current State: 59:[64, 3, 8], Operations: ['27-19=8']
Exploring Operation: 64+3=67, Resulting Numbers: [8, 67]
Generated Node #3: [8, 67] from Operation: 64+3=67
Current State: 59:[8, 67], Operations: ['27-19=8', '64+3=67']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
36,
93,
69,
6
] | 54 | [
"36+93=129",
"69+6=75",
"129-75=54"
] | Current State: 54:[36, 93, 69, 6], Operations: []
Exploring Operation: 36+93=129, Resulting Numbers: [69, 6, 129]
Generated Node #2: [69, 6, 129] from Operation: 36+93=129
Current State: 54:[69, 6, 129], Operations: ['36+93=129']
Exploring Operation: 69+6=75, Resulting Numbers: [129, 75]
Generated Node #3: [129, 75] from Operation: 69+6=75
Current State: 54:[129, 75], Operations: ['36+93=129', '69+6=75']
Exploring Operation: 129-75=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
78,
82,
70,
80
] | 92 | [
"78-70=8",
"80/8=10",
"82+10=92"
] | Current State: 92:[78, 82, 70, 80], Operations: []
Exploring Operation: 78-70=8, Resulting Numbers: [82, 80, 8]
Generated Node #2: [82, 80, 8] from Operation: 78-70=8
Current State: 92:[82, 80, 8], Operations: ['78-70=8']
Exploring Operation: 80/8=10, Resulting Numbers: [82, 10]
Generated Node #3: [82, 10] from Operation: 80/8=10
Current State: 92:[82, 10], Operations: ['78-70=8', '80/8=10']
Exploring Operation: 82+10=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
63,
67,
38,
76
] | 57 | [
"67-63=4",
"76/4=19",
"38+19=57"
] | Current State: 57:[63, 67, 38, 76], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [38, 76, 4]
Generated Node #2: [38, 76, 4] from Operation: 67-63=4
Current State: 57:[38, 76, 4], Operations: ['67-63=4']
Exploring Operation: 76/4=19, Resulting Numbers: [38, 19]
Generated Node #3: [38, 19] from Operation: 76/4=19
Current State: 57:[38, 19], Operations: ['67-63=4', '76/4=19']
Exploring Operation: 38+19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
60,
81,
8,
69
] | 17 | [
"69-60=9",
"81/9=9",
"8+9=17"
] | Current State: 17:[60, 81, 8, 69], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [81, 8, 9]
Generated Node #2: [81, 8, 9] from Operation: 69-60=9
Current State: 17:[81, 8, 9], Operations: ['69-60=9']
Exploring Operation: 81/9=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 81/9=9
Current State: 17:[8, 9], Operations: ['69-60=9', '81/9=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
48,
42,
23,
9
] | 63 | [
"48*42=2016",
"23+9=32",
"2016/32=63"
] | Current State: 63:[48, 42, 23, 9], Operations: []
Exploring Operation: 48*42=2016, Resulting Numbers: [23, 9, 2016]
Generated Node #2: [23, 9, 2016] from Operation: 48*42=2016
Current State: 63:[23, 9, 2016], Operations: ['48*42=2016']
Exploring Operation: 23+9=32, Resulting Numbers: [2016, 32]
Generated Node #3: [2016, 32] from Operation: 23+9=32
Current State: 63:[2016, 32], Operations: ['48*42=2016', '23+9=32']
Exploring Operation: 2016/32=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
18,
32,
60,
38
] | 21 | [
"32+38=70",
"18*70=1260",
"1260/60=21"
] | Current State: 21:[18, 32, 60, 38], Operations: []
Exploring Operation: 32+38=70, Resulting Numbers: [18, 60, 70]
Generated Node #2: [18, 60, 70] from Operation: 32+38=70
Current State: 21:[18, 60, 70], Operations: ['32+38=70']
Exploring Operation: 18*70=1260, Resulting Numbers: [60, 1260]
Generated Node #3: [60, 1260] from Operation: 18*70=1260
Current State: 21:[60, 1260], Operations: ['32+38=70', '18*70=1260']
Exploring Operation: 1260/60=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
2,
83,
13,
65
] | 33 | [
"2+83=85",
"65-13=52",
"85-52=33"
] | Current State: 33:[2, 83, 13, 65], Operations: []
Exploring Operation: 2+83=85, Resulting Numbers: [13, 65, 85]
Generated Node #2: [13, 65, 85] from Operation: 2+83=85
Current State: 33:[13, 65, 85], Operations: ['2+83=85']
Exploring Operation: 65-13=52, Resulting Numbers: [85, 52]
Generated Node #3: [85, 52] from Operation: 65-13=52
Current State: 33:[85, 52], Operations: ['2+83=85', '65-13=52']
Exploring Operation: 85-52=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
12,
11,
15,
23
] | 31 | [
"12+11=23",
"23-15=8",
"23+8=31"
] | Current State: 31:[12, 11, 15, 23], Operations: []
Exploring Operation: 12+11=23, Resulting Numbers: [15, 23, 23]
Generated Node #2: [15, 23, 23] from Operation: 12+11=23
Current State: 31:[15, 23, 23], Operations: ['12+11=23']
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,31 equal: Goal Reached
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
8,
20,
72
] | 31 | [
"60-20=40",
"72/8=9",
"40-9=31"
] | Current State: 31:[60, 8, 20, 72], Operations: []
Exploring Operation: 60-20=40, Resulting Numbers: [8, 72, 40]
Generated Node #2: [8, 72, 40] from Operation: 60-20=40
Current State: 31:[8, 72, 40], Operations: ['60-20=40']
Exploring Operation: 72/8=9, Resulting Numbers: [40, 9]
Generated Node #3: [40, 9] from Operation: 72/8=9
Current State: 31:[40, 9], Operations: ['60-20=40', '72/8=9']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
43,
8,
47,
96
] | 88 | [
"43*96=4128",
"8+4128=4136",
"4136/47=88"
] | Current State: 88:[43, 8, 47, 96], Operations: []
Exploring Operation: 43*96=4128, Resulting Numbers: [8, 47, 4128]
Generated Node #2: [8, 47, 4128] from Operation: 43*96=4128
Current State: 88:[8, 47, 4128], Operations: ['43*96=4128']
Exploring Operation: 8+4128=4136, Resulting Numbers: [47, 4136]
Generated Node #3: [47, 4136] from Operation: 8+4128=4136
Current State: 88:[47, 4136], Operations: ['43*96=4128', '8+4128=4136']
Exploring Operation: 4136/47=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
96,
62,
36,
3
] | 82 | [
"96-36=60",
"60/3=20",
"62+20=82"
] | Current State: 82:[96, 62, 36, 3], Operations: []
Exploring Operation: 96-36=60, Resulting Numbers: [62, 3, 60]
Generated Node #2: [62, 3, 60] from Operation: 96-36=60
Current State: 82:[62, 3, 60], Operations: ['96-36=60']
Exploring Operation: 60/3=20, Resulting Numbers: [62, 20]
Generated Node #3: [62, 20] from Operation: 60/3=20
Current State: 82:[62, 20], Operations: ['96-36=60', '60/3=20']
Exploring Operation: 62+20=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
54,
54,
94,
12
] | 83 | [
"54/54=1",
"94-12=82",
"1+82=83"
] | Current State: 83:[54, 54, 94, 12], Operations: []
Exploring Operation: 54/54=1, Resulting Numbers: [94, 12, 1]
Generated Node #2: [94, 12, 1] from Operation: 54/54=1
Current State: 83:[94, 12, 1], Operations: ['54/54=1']
Exploring Operation: 94-12=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 94-12=82
Current State: 83:[1, 82], Operations: ['54/54=1', '94-12=82']
Exploring Operation: 1+82=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
1,
36,
5,
10
] | 91 | [
"1+10=11",
"5*11=55",
"36+55=91"
] | Current State: 91:[1, 36, 5, 10], Operations: []
Exploring Operation: 1+10=11, Resulting Numbers: [36, 5, 11]
Generated Node #2: [36, 5, 11] from Operation: 1+10=11
Current State: 91:[36, 5, 11], Operations: ['1+10=11']
Exploring Operation: 5*11=55, Resulting Numbers: [36, 55]
Generated Node #3: [36, 55] from Operation: 5*11=55
Current State: 91:[36, 55], Operations: ['1+10=11', '5*11=55']
Exploring Operation: 36+55=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
78,
16,
57,
39
] | 84 | [
"57+39=96",
"96/16=6",
"78+6=84"
] | Current State: 84:[78, 16, 57, 39], Operations: []
Exploring Operation: 57+39=96, Resulting Numbers: [78, 16, 96]
Generated Node #2: [78, 16, 96] from Operation: 57+39=96
Current State: 84:[78, 16, 96], Operations: ['57+39=96']
Exploring Operation: 96/16=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 96/16=6
Current State: 84:[78, 6], Operations: ['57+39=96', '96/16=6']
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
17,
16,
48,
64
] | 34 | [
"17*64=1088",
"48-16=32",
"1088/32=34"
] | Current State: 34:[17, 16, 48, 64], Operations: []
Exploring Operation: 17*64=1088, Resulting Numbers: [16, 48, 1088]
Generated Node #2: [16, 48, 1088] from Operation: 17*64=1088
Current State: 34:[16, 48, 1088], Operations: ['17*64=1088']
Exploring Operation: 48-16=32, Resulting Numbers: [1088, 32]
Generated Node #3: [1088, 32] from Operation: 48-16=32
Current State: 34:[1088, 32], Operations: ['17*64=1088', '48-16=32']
Exploring Operation: 1088/32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
9,
96,
96,
16
] | 25 | [
"9+96=105",
"96-16=80",
"105-80=25"
] | Current State: 25:[9, 96, 96, 16], Operations: []
Exploring Operation: 9+96=105, Resulting Numbers: [16, 105]
Generated Node #2: [16, 105] from Operation: 9+96=105
Current State: 25:[16, 105], Operations: ['9+96=105']
Exploring Operation: 96-16=80, Resulting Numbers: [105, 80]
Generated Node #3: [105, 80] from Operation: 96-16=80
Current State: 25:[105, 80], Operations: ['9+96=105', '96-16=80']
Exploring Operation: 105-80=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
3,
86,
24,
87
] | 48 | [
"3+86=89",
"89-87=2",
"24*2=48"
] | Current State: 48:[3, 86, 24, 87], Operations: []
Exploring Operation: 3+86=89, Resulting Numbers: [24, 87, 89]
Generated Node #2: [24, 87, 89] from Operation: 3+86=89
Current State: 48:[24, 87, 89], Operations: ['3+86=89']
Exploring Operation: 89-87=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 89-87=2
Current State: 48:[24, 2], Operations: ['3+86=89', '89-87=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
50,
2,
22,
43
] | 31 | [
"50+2=52",
"43-22=21",
"52-21=31"
] | Current State: 31:[50, 2, 22, 43], Operations: []
Exploring Operation: 50+2=52, Resulting Numbers: [22, 43, 52]
Generated Node #2: [22, 43, 52] from Operation: 50+2=52
Current State: 31:[22, 43, 52], Operations: ['50+2=52']
Exploring Operation: 43-22=21, Resulting Numbers: [52, 21]
Generated Node #3: [52, 21] from Operation: 43-22=21
Current State: 31:[52, 21], Operations: ['50+2=52', '43-22=21']
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
70,
1,
99
] | 17 | [
"70+1=71",
"99+71=170",
"170/10=17"
] | Current State: 17:[10, 70, 1, 99], Operations: []
Exploring Operation: 70+1=71, Resulting Numbers: [10, 99, 71]
Generated Node #2: [10, 99, 71] from Operation: 70+1=71
Current State: 17:[10, 99, 71], Operations: ['70+1=71']
Exploring Operation: 99+71=170, Resulting Numbers: [10, 170]
Generated Node #3: [10, 170] from Operation: 99+71=170
Current State: 17:[10, 170], Operations: ['70+1=71', '99+71=170']
Exploring Operation: 170/10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
64,
72,
12,
86
] | 28 | [
"86-64=22",
"72/12=6",
"22+6=28"
] | Current State: 28:[64, 72, 12, 86], Operations: []
Exploring Operation: 86-64=22, Resulting Numbers: [72, 12, 22]
Generated Node #2: [72, 12, 22] from Operation: 86-64=22
Current State: 28:[72, 12, 22], Operations: ['86-64=22']
Exploring Operation: 72/12=6, Resulting Numbers: [22, 6]
Generated Node #3: [22, 6] from Operation: 72/12=6
Current State: 28:[22, 6], Operations: ['86-64=22', '72/12=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
28,
12,
69,
37
] | 48 | [
"28-12=16",
"69-37=32",
"16+32=48"
] | Current State: 48:[28, 12, 69, 37], Operations: []
Exploring Operation: 28-12=16, Resulting Numbers: [69, 37, 16]
Generated Node #2: [69, 37, 16] from Operation: 28-12=16
Current State: 48:[69, 37, 16], Operations: ['28-12=16']
Exploring Operation: 69-37=32, Resulting Numbers: [16, 32]
Generated Node #3: [16, 32] from Operation: 69-37=32
Current State: 48:[16, 32], Operations: ['28-12=16', '69-37=32']
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
29,
2,
13,
67
] | 27 | [
"29-2=27",
"67-13=54",
"54-27=27"
] | Current State: 27:[29, 2, 13, 67], Operations: []
Exploring Operation: 29-2=27, Resulting Numbers: [13, 67, 27]
Generated Node #2: [13, 67, 27] from Operation: 29-2=27
Current State: 27:[13, 67, 27], Operations: ['29-2=27']
Exploring Operation: 67-13=54, Resulting Numbers: [27, 54]
Generated Node #3: [27, 54] from Operation: 67-13=54
Current State: 27:[27, 54], Operations: ['29-2=27', '67-13=54']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
5,
74,
12,
4
] | 37 | [
"12/4=3",
"5-3=2",
"74/2=37"
] | Current State: 37:[5, 74, 12, 4], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [5, 74, 3]
Generated Node #2: [5, 74, 3] from Operation: 12/4=3
Current State: 37:[5, 74, 3], Operations: ['12/4=3']
Exploring Operation: 5-3=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 5-3=2
Current State: 37:[74, 2], Operations: ['12/4=3', '5-3=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
44,
4,
7
] | 20 | [
"2+7=9",
"44/4=11",
"9+11=20"
] | Current State: 20:[2, 44, 4, 7], Operations: []
Exploring Operation: 2+7=9, Resulting Numbers: [44, 4, 9]
Generated Node #2: [44, 4, 9] from Operation: 2+7=9
Current State: 20:[44, 4, 9], Operations: ['2+7=9']
Exploring Operation: 44/4=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 44/4=11
Current State: 20:[9, 11], Operations: ['2+7=9', '44/4=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
6,
36,
7,
72
] | 66 | [
"6+36=42",
"42/7=6",
"72-6=66"
] | Current State: 66:[6, 36, 7, 72], Operations: []
Exploring Operation: 6+36=42, Resulting Numbers: [7, 72, 42]
Generated Node #2: [7, 72, 42] from Operation: 6+36=42
Current State: 66:[7, 72, 42], Operations: ['6+36=42']
Exploring Operation: 42/7=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 42/7=6
Current State: 66:[72, 6], Operations: ['6+36=42', '42/7=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
33,
38,
6,
76
] | 87 | [
"38-33=5",
"6+76=82",
"5+82=87"
] | Current State: 87:[33, 38, 6, 76], Operations: []
Exploring Operation: 38-33=5, Resulting Numbers: [6, 76, 5]
Generated Node #2: [6, 76, 5] from Operation: 38-33=5
Current State: 87:[6, 76, 5], Operations: ['38-33=5']
Exploring Operation: 6+76=82, Resulting Numbers: [5, 82]
Generated Node #3: [5, 82] from Operation: 6+76=82
Current State: 87:[5, 82], Operations: ['38-33=5', '6+76=82']
Exploring Operation: 5+82=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
23,
5,
3,
16
] | 62 | [
"5-3=2",
"23*2=46",
"16+46=62"
] | Current State: 62:[23, 5, 3, 16], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [23, 16, 2]
Generated Node #2: [23, 16, 2] from Operation: 5-3=2
Current State: 62:[23, 16, 2], Operations: ['5-3=2']
Exploring Operation: 23*2=46, Resulting Numbers: [16, 46]
Generated Node #3: [16, 46] from Operation: 23*2=46
Current State: 62:[16, 46], Operations: ['5-3=2', '23*2=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
96,
51,
55,
92
] | 68 | [
"55-51=4",
"96/4=24",
"92-24=68"
] | Current State: 68:[96, 51, 55, 92], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [96, 92, 4]
Generated Node #2: [96, 92, 4] from Operation: 55-51=4
Current State: 68:[96, 92, 4], Operations: ['55-51=4']
Exploring Operation: 96/4=24, Resulting Numbers: [92, 24]
Generated Node #3: [92, 24] from Operation: 96/4=24
Current State: 68:[92, 24], Operations: ['55-51=4', '96/4=24']
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
53,
59,
78,
50
] | 99 | [
"53-50=3",
"59*3=177",
"177-78=99"
] | Current State: 99:[53, 59, 78, 50], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [59, 78, 3]
Generated Node #2: [59, 78, 3] from Operation: 53-50=3
Current State: 99:[59, 78, 3], Operations: ['53-50=3']
Exploring Operation: 59*3=177, Resulting Numbers: [78, 177]
Generated Node #3: [78, 177] from Operation: 59*3=177
Current State: 99:[78, 177], Operations: ['53-50=3', '59*3=177']
Exploring Operation: 177-78=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
47,
66,
49
] | 60 | [
"49-47=2",
"3*2=6",
"66-6=60"
] | Current State: 60:[3, 47, 66, 49], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [3, 66, 2]
Generated Node #2: [3, 66, 2] from Operation: 49-47=2
Current State: 60:[3, 66, 2], Operations: ['49-47=2']
Exploring Operation: 3*2=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 3*2=6
Current State: 60:[66, 6], Operations: ['49-47=2', '3*2=6']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
4,
67,
54,
99
] | 26 | [
"4+67=71",
"99-54=45",
"71-45=26"
] | Current State: 26:[4, 67, 54, 99], Operations: []
Exploring Operation: 4+67=71, Resulting Numbers: [54, 99, 71]
Generated Node #2: [54, 99, 71] from Operation: 4+67=71
Current State: 26:[54, 99, 71], Operations: ['4+67=71']
Exploring Operation: 99-54=45, Resulting Numbers: [71, 45]
Generated Node #3: [71, 45] from Operation: 99-54=45
Current State: 26:[71, 45], Operations: ['4+67=71', '99-54=45']
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
13,
20,
75,
8
] | 90 | [
"20-13=7",
"75+8=83",
"7+83=90"
] | Current State: 90:[13, 20, 75, 8], Operations: []
Exploring Operation: 20-13=7, Resulting Numbers: [75, 8, 7]
Generated Node #2: [75, 8, 7] from Operation: 20-13=7
Current State: 90:[75, 8, 7], Operations: ['20-13=7']
Exploring Operation: 75+8=83, Resulting Numbers: [7, 83]
Generated Node #3: [7, 83] from Operation: 75+8=83
Current State: 90:[7, 83], Operations: ['20-13=7', '75+8=83']
Exploring Operation: 7+83=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
88,
5,
41,
65
] | 74 | [
"88-65=23",
"5*23=115",
"115-41=74"
] | Current State: 74:[88, 5, 41, 65], Operations: []
Exploring Operation: 88-65=23, Resulting Numbers: [5, 41, 23]
Generated Node #2: [5, 41, 23] from Operation: 88-65=23
Current State: 74:[5, 41, 23], Operations: ['88-65=23']
Exploring Operation: 5*23=115, Resulting Numbers: [41, 115]
Generated Node #3: [41, 115] from Operation: 5*23=115
Current State: 74:[41, 115], Operations: ['88-65=23', '5*23=115']
Exploring Operation: 115-41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
11,
7,
77,
12
] | 22 | [
"12-7=5",
"11*5=55",
"77-55=22"
] | Current State: 22:[11, 7, 77, 12], Operations: []
Exploring Operation: 12-7=5, Resulting Numbers: [11, 77, 5]
Generated Node #2: [11, 77, 5] from Operation: 12-7=5
Current State: 22:[11, 77, 5], Operations: ['12-7=5']
Exploring Operation: 11*5=55, Resulting Numbers: [77, 55]
Generated Node #3: [77, 55] from Operation: 11*5=55
Current State: 22:[77, 55], Operations: ['12-7=5', '11*5=55']
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
14,
61,
54,
97
] | 95 | [
"61-54=7",
"14/7=2",
"97-2=95"
] | Current State: 95:[14, 61, 54, 97], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [14, 97, 7]
Generated Node #2: [14, 97, 7] from Operation: 61-54=7
Current State: 95:[14, 97, 7], Operations: ['61-54=7']
Exploring Operation: 14/7=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 14/7=2
Current State: 95:[97, 2], Operations: ['61-54=7', '14/7=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
12,
24,
52,
6
] | 68 | [
"12+52=64",
"24/6=4",
"64+4=68"
] | Current State: 68:[12, 24, 52, 6], Operations: []
Exploring Operation: 12+52=64, Resulting Numbers: [24, 6, 64]
Generated Node #2: [24, 6, 64] from Operation: 12+52=64
Current State: 68:[24, 6, 64], Operations: ['12+52=64']
Exploring Operation: 24/6=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 24/6=4
Current State: 68:[64, 4], Operations: ['12+52=64', '24/6=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
22,
73,
49,
70
] | 81 | [
"49-22=27",
"73-70=3",
"27*3=81"
] | Current State: 81:[22, 73, 49, 70], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [73, 70, 27]
Generated Node #2: [73, 70, 27] from Operation: 49-22=27
Current State: 81:[73, 70, 27], Operations: ['49-22=27']
Exploring Operation: 73-70=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 73-70=3
Current State: 81:[27, 3], Operations: ['49-22=27', '73-70=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
37,
22,
2,
19
] | 45 | [
"37+19=56",
"22/2=11",
"56-11=45"
] | Current State: 45:[37, 22, 2, 19], Operations: []
Exploring Operation: 37+19=56, Resulting Numbers: [22, 2, 56]
Generated Node #2: [22, 2, 56] from Operation: 37+19=56
Current State: 45:[22, 2, 56], Operations: ['37+19=56']
Exploring Operation: 22/2=11, Resulting Numbers: [56, 11]
Generated Node #3: [56, 11] from Operation: 22/2=11
Current State: 45:[56, 11], Operations: ['37+19=56', '22/2=11']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
48,
34,
77,
37
] | 100 | [
"48-34=14",
"77+37=114",
"114-14=100"
] | Current State: 100:[48, 34, 77, 37], Operations: []
Exploring Operation: 48-34=14, Resulting Numbers: [77, 37, 14]
Generated Node #2: [77, 37, 14] from Operation: 48-34=14
Current State: 100:[77, 37, 14], Operations: ['48-34=14']
Exploring Operation: 77+37=114, Resulting Numbers: [14, 114]
Generated Node #3: [14, 114] from Operation: 77+37=114
Current State: 100:[14, 114], Operations: ['48-34=14', '77+37=114']
Exploring Operation: 114-14=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
38,
32,
96,
70
] | 32 | [
"38-32=6",
"96-70=26",
"6+26=32"
] | Current State: 32:[38, 32, 96, 70], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [96, 70, 6]
Generated Node #2: [96, 70, 6] from Operation: 38-32=6
Current State: 32:[96, 70, 6], Operations: ['38-32=6']
Exploring Operation: 96-70=26, Resulting Numbers: [6, 26]
Generated Node #3: [6, 26] from Operation: 96-70=26
Current State: 32:[6, 26], Operations: ['38-32=6', '96-70=26']
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
12,
90,
42
] | 78 | [
"90/30=3",
"12*3=36",
"42+36=78"
] | Current State: 78:[30, 12, 90, 42], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [12, 42, 3]
Generated Node #2: [12, 42, 3] from Operation: 90/30=3
Current State: 78:[12, 42, 3], Operations: ['90/30=3']
Exploring Operation: 12*3=36, Resulting Numbers: [42, 36]
Generated Node #3: [42, 36] from Operation: 12*3=36
Current State: 78:[42, 36], Operations: ['90/30=3', '12*3=36']
Exploring Operation: 42+36=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
16,
78,
61,
57
] | 57 | [
"78-16=62",
"62-61=1",
"57*1=57"
] | Current State: 57:[16, 78, 61, 57], Operations: []
Exploring Operation: 78-16=62, Resulting Numbers: [61, 57, 62]
Generated Node #2: [61, 57, 62] from Operation: 78-16=62
Current State: 57:[61, 57, 62], Operations: ['78-16=62']
Exploring Operation: 62-61=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 62-61=1
Current State: 57:[57, 1], Operations: ['78-16=62', '62-61=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
40,
14,
42,
36
] | 60 | [
"40+14=54",
"42-36=6",
"54+6=60"
] | Current State: 60:[40, 14, 42, 36], Operations: []
Exploring Operation: 40+14=54, Resulting Numbers: [42, 36, 54]
Generated Node #2: [42, 36, 54] from Operation: 40+14=54
Current State: 60:[42, 36, 54], Operations: ['40+14=54']
Exploring Operation: 42-36=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 42-36=6
Current State: 60:[54, 6], Operations: ['40+14=54', '42-36=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
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