nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
19,
84,
88,
60
] | 45 | [
"19+84=103",
"88+60=148",
"148-103=45"
] | Current State: 45:[19, 84, 88, 60], Operations: []
Exploring Operation: 19+84=103, Resulting Numbers: [88, 60, 103]
Generated Node #2: [88, 60, 103] from Operation: 19+84=103
Current State: 45:[88, 60, 103], Operations: ['19+84=103']
Exploring Operation: 88+60=148, Resulting Numbers: [103, 148]
Generated Node #3: [103, 148] from Operation: 88+60=148
Current State: 45:[103, 148], Operations: ['19+84=103', '88+60=148']
Exploring Operation: 148-103=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
21,
54,
69,
55
] | 33 | [
"21+69=90",
"54*55=2970",
"2970/90=33"
] | Current State: 33:[21, 54, 69, 55], Operations: []
Exploring Operation: 21+69=90, Resulting Numbers: [54, 55, 90]
Generated Node #2: [54, 55, 90] from Operation: 21+69=90
Current State: 33:[54, 55, 90], Operations: ['21+69=90']
Exploring Operation: 54*55=2970, Resulting Numbers: [90, 2970]
Generated Node #3: [90, 2970] from Operation: 54*55=2970
Current State: 33:[90, 2970], Operations: ['21+69=90', '54*55=2970']
Exploring Operation: 2970/90=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
76,
95,
23,
88
] | 87 | [
"95*88=8360",
"8360/76=110",
"110-23=87"
] | Current State: 87:[76, 95, 23, 88], Operations: []
Exploring Operation: 95*88=8360, Resulting Numbers: [76, 23, 8360]
Generated Node #2: [76, 23, 8360] from Operation: 95*88=8360
Current State: 87:[76, 23, 8360], Operations: ['95*88=8360']
Exploring Operation: 8360/76=110, Resulting Numbers: [23, 110]
Generated Node #3: [23, 110] from Operation: 8360/76=110
Current State: 87:[23, 110], Operations: ['95*88=8360', '8360/76=110']
Exploring Operation: 110-23=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
9,
27,
49,
7
] | 11 | [
"27-9=18",
"49/7=7",
"18-7=11"
] | Current State: 11:[9, 27, 49, 7], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [49, 7, 18]
Generated Node #2: [49, 7, 18] from Operation: 27-9=18
Current State: 11:[49, 7, 18], Operations: ['27-9=18']
Exploring Operation: 49/7=7, Resulting Numbers: [18, 7]
Generated Node #3: [18, 7] from Operation: 49/7=7
Current State: 11:[18, 7], Operations: ['27-9=18', '49/7=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
84,
96,
3,
56
] | 62 | [
"96-3=93",
"56*93=5208",
"5208/84=62"
] | Current State: 62:[84, 96, 3, 56], Operations: []
Exploring Operation: 96-3=93, Resulting Numbers: [84, 56, 93]
Generated Node #2: [84, 56, 93] from Operation: 96-3=93
Current State: 62:[84, 56, 93], Operations: ['96-3=93']
Exploring Operation: 56*93=5208, Resulting Numbers: [84, 5208]
Generated Node #3: [84, 5208] from Operation: 56*93=5208
Current State: 62:[84, 5208], Operations: ['96-3=93', '56*93=5208']
Exploring Operation: 5208/84=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
72,
68,
43,
73
] | 99 | [
"72-68=4",
"43*4=172",
"172-73=99"
] | Current State: 99:[72, 68, 43, 73], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [43, 73, 4]
Generated Node #2: [43, 73, 4] from Operation: 72-68=4
Current State: 99:[43, 73, 4], Operations: ['72-68=4']
Exploring Operation: 43*4=172, Resulting Numbers: [73, 172]
Generated Node #3: [73, 172] from Operation: 43*4=172
Current State: 99:[73, 172], Operations: ['72-68=4', '43*4=172']
Exploring Operation: 172-73=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
63,
91,
30,
4
] | 18 | [
"30-4=26",
"63*26=1638",
"1638/91=18"
] | Current State: 18:[63, 91, 30, 4], Operations: []
Exploring Operation: 30-4=26, Resulting Numbers: [63, 91, 26]
Generated Node #2: [63, 91, 26] from Operation: 30-4=26
Current State: 18:[63, 91, 26], Operations: ['30-4=26']
Exploring Operation: 63*26=1638, Resulting Numbers: [91, 1638]
Generated Node #3: [91, 1638] from Operation: 63*26=1638
Current State: 18:[91, 1638], Operations: ['30-4=26', '63*26=1638']
Exploring Operation: 1638/91=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
1,
45,
91,
12
] | 58 | [
"1*45=45",
"91+12=103",
"103-45=58"
] | Current State: 58:[1, 45, 91, 12], Operations: []
Exploring Operation: 1*45=45, Resulting Numbers: [91, 12, 45]
Generated Node #2: [91, 12, 45] from Operation: 1*45=45
Current State: 58:[91, 12, 45], Operations: ['1*45=45']
Exploring Operation: 91+12=103, Resulting Numbers: [45, 103]
Generated Node #3: [45, 103] from Operation: 91+12=103
Current State: 58:[45, 103], Operations: ['1*45=45', '91+12=103']
Exploring Operation: 103-45=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
6,
66,
45,
67
] | 66 | [
"67-45=22",
"6*22=132",
"132-66=66"
] | Current State: 66:[6, 66, 45, 67], Operations: []
Exploring Operation: 67-45=22, Resulting Numbers: [6, 66, 22]
Generated Node #2: [6, 66, 22] from Operation: 67-45=22
Current State: 66:[6, 66, 22], Operations: ['67-45=22']
Exploring Operation: 6*22=132, Resulting Numbers: [66, 132]
Generated Node #3: [66, 132] from Operation: 6*22=132
Current State: 66:[66, 132], Operations: ['67-45=22', '6*22=132']
Exploring Operation: 132-66=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
68,
14,
16,
59
] | 98 | [
"68-16=52",
"59-52=7",
"14*7=98"
] | Current State: 98:[68, 14, 16, 59], Operations: []
Exploring Operation: 68-16=52, Resulting Numbers: [14, 59, 52]
Generated Node #2: [14, 59, 52] from Operation: 68-16=52
Current State: 98:[14, 59, 52], Operations: ['68-16=52']
Exploring Operation: 59-52=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 59-52=7
Current State: 98:[14, 7], Operations: ['68-16=52', '59-52=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
65,
6,
18,
25
] | 52 | [
"65-6=59",
"25-18=7",
"59-7=52"
] | Current State: 52:[65, 6, 18, 25], Operations: []
Exploring Operation: 65-6=59, Resulting Numbers: [18, 25, 59]
Generated Node #2: [18, 25, 59] from Operation: 65-6=59
Current State: 52:[18, 25, 59], Operations: ['65-6=59']
Exploring Operation: 25-18=7, Resulting Numbers: [59, 7]
Generated Node #3: [59, 7] from Operation: 25-18=7
Current State: 52:[59, 7], Operations: ['65-6=59', '25-18=7']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
99,
69,
98,
79
] | 49 | [
"99-69=30",
"98-79=19",
"30+19=49"
] | Current State: 49:[99, 69, 98, 79], Operations: []
Exploring Operation: 99-69=30, Resulting Numbers: [98, 79, 30]
Generated Node #2: [98, 79, 30] from Operation: 99-69=30
Current State: 49:[98, 79, 30], Operations: ['99-69=30']
Exploring Operation: 98-79=19, Resulting Numbers: [30, 19]
Generated Node #3: [30, 19] from Operation: 98-79=19
Current State: 49:[30, 19], Operations: ['99-69=30', '98-79=19']
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
32,
2,
34,
78
] | 37 | [
"34-32=2",
"78/2=39",
"39-2=37"
] | Current State: 37:[32, 2, 34, 78], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [2, 78, 2]
Generated Node #2: [2, 78, 2] from Operation: 34-32=2
Current State: 37:[2, 78, 2], Operations: ['34-32=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,37 equal: Goal Reached
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
81,
51,
40,
44
] | 54 | [
"81-51=30",
"40+44=84",
"84-30=54"
] | Current State: 54:[81, 51, 40, 44], Operations: []
Exploring Operation: 81-51=30, Resulting Numbers: [40, 44, 30]
Generated Node #2: [40, 44, 30] from Operation: 81-51=30
Current State: 54:[40, 44, 30], Operations: ['81-51=30']
Exploring Operation: 40+44=84, Resulting Numbers: [30, 84]
Generated Node #3: [30, 84] from Operation: 40+44=84
Current State: 54:[30, 84], Operations: ['81-51=30', '40+44=84']
Exploring Operation: 84-30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
69,
23,
48,
96
] | 52 | [
"69+23=92",
"48+96=144",
"144-92=52"
] | Current State: 52:[69, 23, 48, 96], Operations: []
Exploring Operation: 69+23=92, Resulting Numbers: [48, 96, 92]
Generated Node #2: [48, 96, 92] from Operation: 69+23=92
Current State: 52:[48, 96, 92], Operations: ['69+23=92']
Exploring Operation: 48+96=144, Resulting Numbers: [92, 144]
Generated Node #3: [92, 144] from Operation: 48+96=144
Current State: 52:[92, 144], Operations: ['69+23=92', '48+96=144']
Exploring Operation: 144-92=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
13,
15,
30,
73
] | 71 | [
"13+15=28",
"73-30=43",
"28+43=71"
] | Current State: 71:[13, 15, 30, 73], Operations: []
Exploring Operation: 13+15=28, Resulting Numbers: [30, 73, 28]
Generated Node #2: [30, 73, 28] from Operation: 13+15=28
Current State: 71:[30, 73, 28], Operations: ['13+15=28']
Exploring Operation: 73-30=43, Resulting Numbers: [28, 43]
Generated Node #3: [28, 43] from Operation: 73-30=43
Current State: 71:[28, 43], Operations: ['13+15=28', '73-30=43']
Exploring Operation: 28+43=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
16,
54,
5,
47
] | 21 | [
"16*5=80",
"54+47=101",
"101-80=21"
] | Current State: 21:[16, 54, 5, 47], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [54, 47, 80]
Generated Node #2: [54, 47, 80] from Operation: 16*5=80
Current State: 21:[54, 47, 80], Operations: ['16*5=80']
Exploring Operation: 54+47=101, Resulting Numbers: [80, 101]
Generated Node #3: [80, 101] from Operation: 54+47=101
Current State: 21:[80, 101], Operations: ['16*5=80', '54+47=101']
Exploring Operation: 101-80=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
84,
97,
48,
2
] | 91 | [
"84/2=42",
"97-48=49",
"42+49=91"
] | Current State: 91:[84, 97, 48, 2], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [97, 48, 42]
Generated Node #2: [97, 48, 42] from Operation: 84/2=42
Current State: 91:[97, 48, 42], Operations: ['84/2=42']
Exploring Operation: 97-48=49, Resulting Numbers: [42, 49]
Generated Node #3: [42, 49] from Operation: 97-48=49
Current State: 91:[42, 49], Operations: ['84/2=42', '97-48=49']
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
23,
9,
63
] | 36 | [
"36+23=59",
"63-59=4",
"9*4=36"
] | Current State: 36:[36, 23, 9, 63], Operations: []
Exploring Operation: 36+23=59, Resulting Numbers: [9, 63, 59]
Generated Node #2: [9, 63, 59] from Operation: 36+23=59
Current State: 36:[9, 63, 59], Operations: ['36+23=59']
Exploring Operation: 63-59=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 63-59=4
Current State: 36:[9, 4], Operations: ['36+23=59', '63-59=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
50,
47,
53,
45
] | 56 | [
"47-45=2",
"53*2=106",
"106-50=56"
] | Current State: 56:[50, 47, 53, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [50, 53, 2]
Generated Node #2: [50, 53, 2] from Operation: 47-45=2
Current State: 56:[50, 53, 2], Operations: ['47-45=2']
Exploring Operation: 53*2=106, Resulting Numbers: [50, 106]
Generated Node #3: [50, 106] from Operation: 53*2=106
Current State: 56:[50, 106], Operations: ['47-45=2', '53*2=106']
Exploring Operation: 106-50=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
10,
16,
23,
2
] | 36 | [
"10+16=26",
"26/2=13",
"23+13=36"
] | Current State: 36:[10, 16, 23, 2], Operations: []
Exploring Operation: 10+16=26, Resulting Numbers: [23, 2, 26]
Generated Node #2: [23, 2, 26] from Operation: 10+16=26
Current State: 36:[23, 2, 26], Operations: ['10+16=26']
Exploring Operation: 26/2=13, Resulting Numbers: [23, 13]
Generated Node #3: [23, 13] from Operation: 26/2=13
Current State: 36:[23, 13], Operations: ['10+16=26', '26/2=13']
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
77,
13,
13,
10
] | 67 | [
"77+13=90",
"13+10=23",
"90-23=67"
] | Current State: 67:[77, 13, 13, 10], Operations: []
Exploring Operation: 77+13=90, Resulting Numbers: [10, 90]
Generated Node #2: [10, 90] from Operation: 77+13=90
Current State: 67:[10, 90], Operations: ['77+13=90']
Exploring Operation: 13+10=23, Resulting Numbers: [90, 23]
Generated Node #3: [90, 23] from Operation: 13+10=23
Current State: 67:[90, 23], Operations: ['77+13=90', '13+10=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
81,
60,
45,
1
] | 67 | [
"81-60=21",
"45+1=46",
"21+46=67"
] | Current State: 67:[81, 60, 45, 1], Operations: []
Exploring Operation: 81-60=21, Resulting Numbers: [45, 1, 21]
Generated Node #2: [45, 1, 21] from Operation: 81-60=21
Current State: 67:[45, 1, 21], Operations: ['81-60=21']
Exploring Operation: 45+1=46, Resulting Numbers: [21, 46]
Generated Node #3: [21, 46] from Operation: 45+1=46
Current State: 67:[21, 46], Operations: ['81-60=21', '45+1=46']
Exploring Operation: 21+46=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
55,
6,
71,
2
] | 14 | [
"71-55=16",
"16/2=8",
"6+8=14"
] | Current State: 14:[55, 6, 71, 2], Operations: []
Exploring Operation: 71-55=16, Resulting Numbers: [6, 2, 16]
Generated Node #2: [6, 2, 16] from Operation: 71-55=16
Current State: 14:[6, 2, 16], Operations: ['71-55=16']
Exploring Operation: 16/2=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 16/2=8
Current State: 14:[6, 8], Operations: ['71-55=16', '16/2=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
2,
11,
46,
32
] | 99 | [
"46/2=23",
"32-23=9",
"11*9=99"
] | Current State: 99:[2, 11, 46, 32], Operations: []
Exploring Operation: 46/2=23, Resulting Numbers: [11, 32, 23]
Generated Node #2: [11, 32, 23] from Operation: 46/2=23
Current State: 99:[11, 32, 23], Operations: ['46/2=23']
Exploring Operation: 32-23=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 32-23=9
Current State: 99:[11, 9], Operations: ['46/2=23', '32-23=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
9,
52,
44,
69
] | 66 | [
"9+69=78",
"44*78=3432",
"3432/52=66"
] | Current State: 66:[9, 52, 44, 69], Operations: []
Exploring Operation: 9+69=78, Resulting Numbers: [52, 44, 78]
Generated Node #2: [52, 44, 78] from Operation: 9+69=78
Current State: 66:[52, 44, 78], Operations: ['9+69=78']
Exploring Operation: 44*78=3432, Resulting Numbers: [52, 3432]
Generated Node #3: [52, 3432] from Operation: 44*78=3432
Current State: 66:[52, 3432], Operations: ['9+69=78', '44*78=3432']
Exploring Operation: 3432/52=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
31,
13,
41,
23
] | 82 | [
"31-13=18",
"41+23=64",
"18+64=82"
] | Current State: 82:[31, 13, 41, 23], Operations: []
Exploring Operation: 31-13=18, Resulting Numbers: [41, 23, 18]
Generated Node #2: [41, 23, 18] from Operation: 31-13=18
Current State: 82:[41, 23, 18], Operations: ['31-13=18']
Exploring Operation: 41+23=64, Resulting Numbers: [18, 64]
Generated Node #3: [18, 64] from Operation: 41+23=64
Current State: 82:[18, 64], Operations: ['31-13=18', '41+23=64']
Exploring Operation: 18+64=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
29,
40,
21,
29
] | 19 | [
"29+40=69",
"21+29=50",
"69-50=19"
] | Current State: 19:[29, 40, 21, 29], Operations: []
Exploring Operation: 29+40=69, Resulting Numbers: [21, 69]
Generated Node #2: [21, 69] from Operation: 29+40=69
Current State: 19:[21, 69], Operations: ['29+40=69']
Exploring Operation: 21+29=50, Resulting Numbers: [69, 50]
Generated Node #3: [69, 50] from Operation: 21+29=50
Current State: 19:[69, 50], Operations: ['29+40=69', '21+29=50']
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
39,
91,
93,
8
] | 49 | [
"91-39=52",
"93+8=101",
"101-52=49"
] | Current State: 49:[39, 91, 93, 8], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [93, 8, 52]
Generated Node #2: [93, 8, 52] from Operation: 91-39=52
Current State: 49:[93, 8, 52], Operations: ['91-39=52']
Exploring Operation: 93+8=101, Resulting Numbers: [52, 101]
Generated Node #3: [52, 101] from Operation: 93+8=101
Current State: 49:[52, 101], Operations: ['91-39=52', '93+8=101']
Exploring Operation: 101-52=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
57,
76,
35,
26
] | 12 | [
"35-26=9",
"76*9=684",
"684/57=12"
] | Current State: 12:[57, 76, 35, 26], Operations: []
Exploring Operation: 35-26=9, Resulting Numbers: [57, 76, 9]
Generated Node #2: [57, 76, 9] from Operation: 35-26=9
Current State: 12:[57, 76, 9], Operations: ['35-26=9']
Exploring Operation: 76*9=684, Resulting Numbers: [57, 684]
Generated Node #3: [57, 684] from Operation: 76*9=684
Current State: 12:[57, 684], Operations: ['35-26=9', '76*9=684']
Exploring Operation: 684/57=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
57,
58,
86,
19
] | 21 | [
"86-57=29",
"58/29=2",
"19+2=21"
] | Current State: 21:[57, 58, 86, 19], Operations: []
Exploring Operation: 86-57=29, Resulting Numbers: [58, 19, 29]
Generated Node #2: [58, 19, 29] from Operation: 86-57=29
Current State: 21:[58, 19, 29], Operations: ['86-57=29']
Exploring Operation: 58/29=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 58/29=2
Current State: 21:[19, 2], Operations: ['86-57=29', '58/29=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
36,
53,
35,
79
] | 45 | [
"36+53=89",
"79-35=44",
"89-44=45"
] | Current State: 45:[36, 53, 35, 79], Operations: []
Exploring Operation: 36+53=89, Resulting Numbers: [35, 79, 89]
Generated Node #2: [35, 79, 89] from Operation: 36+53=89
Current State: 45:[35, 79, 89], Operations: ['36+53=89']
Exploring Operation: 79-35=44, Resulting Numbers: [89, 44]
Generated Node #3: [89, 44] from Operation: 79-35=44
Current State: 45:[89, 44], Operations: ['36+53=89', '79-35=44']
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
91,
4,
74,
74
] | 53 | [
"91+4=95",
"74+74=148",
"148-95=53"
] | Current State: 53:[91, 4, 74, 74], Operations: []
Exploring Operation: 91+4=95, Resulting Numbers: [74, 74, 95]
Generated Node #2: [74, 74, 95] from Operation: 91+4=95
Current State: 53:[74, 74, 95], Operations: ['91+4=95']
Exploring Operation: 74+74=148, Resulting Numbers: [95, 148]
Generated Node #3: [95, 148] from Operation: 74+74=148
Current State: 53:[95, 148], Operations: ['91+4=95', '74+74=148']
Exploring Operation: 148-95=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
53,
23,
88,
74
] | 44 | [
"53+23=76",
"76-74=2",
"88/2=44"
] | Current State: 44:[53, 23, 88, 74], Operations: []
Exploring Operation: 53+23=76, Resulting Numbers: [88, 74, 76]
Generated Node #2: [88, 74, 76] from Operation: 53+23=76
Current State: 44:[88, 74, 76], Operations: ['53+23=76']
Exploring Operation: 76-74=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 76-74=2
Current State: 44:[88, 2], Operations: ['53+23=76', '76-74=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
34,
33,
22,
79
] | 57 | [
"34-33=1",
"79-22=57",
"1*57=57"
] | Current State: 57:[34, 33, 22, 79], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [22, 79, 1]
Generated Node #2: [22, 79, 1] from Operation: 34-33=1
Current State: 57:[22, 79, 1], Operations: ['34-33=1']
Exploring Operation: 79-22=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 79-22=57
Current State: 57:[1, 57], Operations: ['34-33=1', '79-22=57']
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
26,
56,
53,
17
] | 100 | [
"56-26=30",
"53+17=70",
"30+70=100"
] | Current State: 100:[26, 56, 53, 17], Operations: []
Exploring Operation: 56-26=30, Resulting Numbers: [53, 17, 30]
Generated Node #2: [53, 17, 30] from Operation: 56-26=30
Current State: 100:[53, 17, 30], Operations: ['56-26=30']
Exploring Operation: 53+17=70, Resulting Numbers: [30, 70]
Generated Node #3: [30, 70] from Operation: 53+17=70
Current State: 100:[30, 70], Operations: ['56-26=30', '53+17=70']
Exploring Operation: 30+70=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
46,
80,
76,
23
] | 42 | [
"46/23=2",
"76/2=38",
"80-38=42"
] | Current State: 42:[46, 80, 76, 23], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [80, 76, 2]
Generated Node #2: [80, 76, 2] from Operation: 46/23=2
Current State: 42:[80, 76, 2], Operations: ['46/23=2']
Exploring Operation: 76/2=38, Resulting Numbers: [80, 38]
Generated Node #3: [80, 38] from Operation: 76/2=38
Current State: 42:[80, 38], Operations: ['46/23=2', '76/2=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
82,
2,
46,
48
] | 86 | [
"82+2=84",
"48-46=2",
"84+2=86"
] | Current State: 86:[82, 2, 46, 48], Operations: []
Exploring Operation: 82+2=84, Resulting Numbers: [46, 48, 84]
Generated Node #2: [46, 48, 84] from Operation: 82+2=84
Current State: 86:[46, 48, 84], Operations: ['82+2=84']
Exploring Operation: 48-46=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 48-46=2
Current State: 86:[84, 2], Operations: ['82+2=84', '48-46=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
98,
3,
44,
7
] | 13 | [
"44-7=37",
"3*37=111",
"111-98=13"
] | Current State: 13:[98, 3, 44, 7], Operations: []
Exploring Operation: 44-7=37, Resulting Numbers: [98, 3, 37]
Generated Node #2: [98, 3, 37] from Operation: 44-7=37
Current State: 13:[98, 3, 37], Operations: ['44-7=37']
Exploring Operation: 3*37=111, Resulting Numbers: [98, 111]
Generated Node #3: [98, 111] from Operation: 3*37=111
Current State: 13:[98, 111], Operations: ['44-7=37', '3*37=111']
Exploring Operation: 111-98=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
98,
2,
6,
91
] | 48 | [
"98/2=49",
"6+91=97",
"97-49=48"
] | Current State: 48:[98, 2, 6, 91], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [6, 91, 49]
Generated Node #2: [6, 91, 49] from Operation: 98/2=49
Current State: 48:[6, 91, 49], Operations: ['98/2=49']
Exploring Operation: 6+91=97, Resulting Numbers: [49, 97]
Generated Node #3: [49, 97] from Operation: 6+91=97
Current State: 48:[49, 97], Operations: ['98/2=49', '6+91=97']
Exploring Operation: 97-49=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
91,
5,
86,
21
] | 22 | [
"91-5=86",
"86/86=1",
"21+1=22"
] | Current State: 22:[91, 5, 86, 21], Operations: []
Exploring Operation: 91-5=86, Resulting Numbers: [86, 21, 86]
Generated Node #2: [86, 21, 86] from Operation: 91-5=86
Current State: 22:[86, 21, 86], Operations: ['91-5=86']
Exploring Operation: 86/86=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 86/86=1
Current State: 22:[21, 1], Operations: ['91-5=86', '86/86=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
79,
42,
4,
52
] | 65 | [
"79+42=121",
"4+52=56",
"121-56=65"
] | Current State: 65:[79, 42, 4, 52], Operations: []
Exploring Operation: 79+42=121, Resulting Numbers: [4, 52, 121]
Generated Node #2: [4, 52, 121] from Operation: 79+42=121
Current State: 65:[4, 52, 121], Operations: ['79+42=121']
Exploring Operation: 4+52=56, Resulting Numbers: [121, 56]
Generated Node #3: [121, 56] from Operation: 4+52=56
Current State: 65:[121, 56], Operations: ['79+42=121', '4+52=56']
Exploring Operation: 121-56=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
22,
91,
15,
90
] | 36 | [
"91-22=69",
"15+90=105",
"105-69=36"
] | Current State: 36:[22, 91, 15, 90], Operations: []
Exploring Operation: 91-22=69, Resulting Numbers: [15, 90, 69]
Generated Node #2: [15, 90, 69] from Operation: 91-22=69
Current State: 36:[15, 90, 69], Operations: ['91-22=69']
Exploring Operation: 15+90=105, Resulting Numbers: [69, 105]
Generated Node #3: [69, 105] from Operation: 15+90=105
Current State: 36:[69, 105], Operations: ['91-22=69', '15+90=105']
Exploring Operation: 105-69=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
50,
65,
9,
37
] | 100 | [
"65+9=74",
"50*74=3700",
"3700/37=100"
] | Current State: 100:[50, 65, 9, 37], Operations: []
Exploring Operation: 65+9=74, Resulting Numbers: [50, 37, 74]
Generated Node #2: [50, 37, 74] from Operation: 65+9=74
Current State: 100:[50, 37, 74], Operations: ['65+9=74']
Exploring Operation: 50*74=3700, Resulting Numbers: [37, 3700]
Generated Node #3: [37, 3700] from Operation: 50*74=3700
Current State: 100:[37, 3700], Operations: ['65+9=74', '50*74=3700']
Exploring Operation: 3700/37=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
79,
63,
53,
7
] | 82 | [
"79+63=142",
"53+7=60",
"142-60=82"
] | Current State: 82:[79, 63, 53, 7], Operations: []
Exploring Operation: 79+63=142, Resulting Numbers: [53, 7, 142]
Generated Node #2: [53, 7, 142] from Operation: 79+63=142
Current State: 82:[53, 7, 142], Operations: ['79+63=142']
Exploring Operation: 53+7=60, Resulting Numbers: [142, 60]
Generated Node #3: [142, 60] from Operation: 53+7=60
Current State: 82:[142, 60], Operations: ['79+63=142', '53+7=60']
Exploring Operation: 142-60=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
12,
15,
74,
36
] | 86 | [
"15-12=3",
"36/3=12",
"74+12=86"
] | Current State: 86:[12, 15, 74, 36], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [74, 36, 3]
Generated Node #2: [74, 36, 3] from Operation: 15-12=3
Current State: 86:[74, 36, 3], Operations: ['15-12=3']
Exploring Operation: 36/3=12, Resulting Numbers: [74, 12]
Generated Node #3: [74, 12] from Operation: 36/3=12
Current State: 86:[74, 12], Operations: ['15-12=3', '36/3=12']
Exploring Operation: 74+12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
19,
3,
90,
8
] | 41 | [
"19*3=57",
"90+8=98",
"98-57=41"
] | Current State: 41:[19, 3, 90, 8], Operations: []
Exploring Operation: 19*3=57, Resulting Numbers: [90, 8, 57]
Generated Node #2: [90, 8, 57] from Operation: 19*3=57
Current State: 41:[90, 8, 57], Operations: ['19*3=57']
Exploring Operation: 90+8=98, Resulting Numbers: [57, 98]
Generated Node #3: [57, 98] from Operation: 90+8=98
Current State: 41:[57, 98], Operations: ['19*3=57', '90+8=98']
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
99,
29,
32
] | 30 | [
"99-8=91",
"29+32=61",
"91-61=30"
] | Current State: 30:[8, 99, 29, 32], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [29, 32, 91]
Generated Node #2: [29, 32, 91] from Operation: 99-8=91
Current State: 30:[29, 32, 91], Operations: ['99-8=91']
Exploring Operation: 29+32=61, Resulting Numbers: [91, 61]
Generated Node #3: [91, 61] from Operation: 29+32=61
Current State: 30:[91, 61], Operations: ['99-8=91', '29+32=61']
Exploring Operation: 91-61=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
71,
5,
28,
3
] | 72 | [
"71-3=68",
"5*28=140",
"140-68=72"
] | Current State: 72:[71, 5, 28, 3], Operations: []
Exploring Operation: 71-3=68, Resulting Numbers: [5, 28, 68]
Generated Node #2: [5, 28, 68] from Operation: 71-3=68
Current State: 72:[5, 28, 68], Operations: ['71-3=68']
Exploring Operation: 5*28=140, Resulting Numbers: [68, 140]
Generated Node #3: [68, 140] from Operation: 5*28=140
Current State: 72:[68, 140], Operations: ['71-3=68', '5*28=140']
Exploring Operation: 140-68=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
61,
37,
46,
92
] | 22 | [
"61-37=24",
"92-46=46",
"46-24=22"
] | Current State: 22:[61, 37, 46, 92], Operations: []
Exploring Operation: 61-37=24, Resulting Numbers: [46, 92, 24]
Generated Node #2: [46, 92, 24] from Operation: 61-37=24
Current State: 22:[46, 92, 24], Operations: ['61-37=24']
Exploring Operation: 92-46=46, Resulting Numbers: [24, 46]
Generated Node #3: [24, 46] from Operation: 92-46=46
Current State: 22:[24, 46], Operations: ['61-37=24', '92-46=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
67,
47,
75,
89
] | 50 | [
"67+47=114",
"75+89=164",
"164-114=50"
] | Current State: 50:[67, 47, 75, 89], Operations: []
Exploring Operation: 67+47=114, Resulting Numbers: [75, 89, 114]
Generated Node #2: [75, 89, 114] from Operation: 67+47=114
Current State: 50:[75, 89, 114], Operations: ['67+47=114']
Exploring Operation: 75+89=164, Resulting Numbers: [114, 164]
Generated Node #3: [114, 164] from Operation: 75+89=164
Current State: 50:[114, 164], Operations: ['67+47=114', '75+89=164']
Exploring Operation: 164-114=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
39,
46,
55,
11
] | 14 | [
"55*11=605",
"39+605=644",
"644/46=14"
] | Current State: 14:[39, 46, 55, 11], Operations: []
Exploring Operation: 55*11=605, Resulting Numbers: [39, 46, 605]
Generated Node #2: [39, 46, 605] from Operation: 55*11=605
Current State: 14:[39, 46, 605], Operations: ['55*11=605']
Exploring Operation: 39+605=644, Resulting Numbers: [46, 644]
Generated Node #3: [46, 644] from Operation: 39+605=644
Current State: 14:[46, 644], Operations: ['55*11=605', '39+605=644']
Exploring Operation: 644/46=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
27,
3,
81,
48
] | 72 | [
"81-48=33",
"3*33=99",
"99-27=72"
] | Current State: 72:[27, 3, 81, 48], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [27, 3, 33]
Generated Node #2: [27, 3, 33] from Operation: 81-48=33
Current State: 72:[27, 3, 33], Operations: ['81-48=33']
Exploring Operation: 3*33=99, Resulting Numbers: [27, 99]
Generated Node #3: [27, 99] from Operation: 3*33=99
Current State: 72:[27, 99], Operations: ['81-48=33', '3*33=99']
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
28,
61,
80,
53
] | 38 | [
"61-53=8",
"80/8=10",
"28+10=38"
] | Current State: 38:[28, 61, 80, 53], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [28, 80, 8]
Generated Node #2: [28, 80, 8] from Operation: 61-53=8
Current State: 38:[28, 80, 8], Operations: ['61-53=8']
Exploring Operation: 80/8=10, Resulting Numbers: [28, 10]
Generated Node #3: [28, 10] from Operation: 80/8=10
Current State: 38:[28, 10], Operations: ['61-53=8', '80/8=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
53,
73,
20,
17
] | 18 | [
"73-53=20",
"20/20=1",
"17+1=18"
] | Current State: 18:[53, 73, 20, 17], Operations: []
Exploring Operation: 73-53=20, Resulting Numbers: [20, 17, 20]
Generated Node #2: [20, 17, 20] from Operation: 73-53=20
Current State: 18:[20, 17, 20], Operations: ['73-53=20']
Exploring Operation: 20/20=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 20/20=1
Current State: 18:[17, 1], Operations: ['73-53=20', '20/20=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
12,
60,
43,
92
] | 87 | [
"60-12=48",
"43+92=135",
"135-48=87"
] | Current State: 87:[12, 60, 43, 92], Operations: []
Exploring Operation: 60-12=48, Resulting Numbers: [43, 92, 48]
Generated Node #2: [43, 92, 48] from Operation: 60-12=48
Current State: 87:[43, 92, 48], Operations: ['60-12=48']
Exploring Operation: 43+92=135, Resulting Numbers: [48, 135]
Generated Node #3: [48, 135] from Operation: 43+92=135
Current State: 87:[48, 135], Operations: ['60-12=48', '43+92=135']
Exploring Operation: 135-48=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
5,
2,
18,
93
] | 49 | [
"5-2=3",
"93/3=31",
"18+31=49"
] | Current State: 49:[5, 2, 18, 93], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [18, 93, 3]
Generated Node #2: [18, 93, 3] from Operation: 5-2=3
Current State: 49:[18, 93, 3], Operations: ['5-2=3']
Exploring Operation: 93/3=31, Resulting Numbers: [18, 31]
Generated Node #3: [18, 31] from Operation: 93/3=31
Current State: 49:[18, 31], Operations: ['5-2=3', '93/3=31']
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
45,
93,
38,
78
] | 68 | [
"93-45=48",
"38+78=116",
"116-48=68"
] | Current State: 68:[45, 93, 38, 78], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [38, 78, 48]
Generated Node #2: [38, 78, 48] from Operation: 93-45=48
Current State: 68:[38, 78, 48], Operations: ['93-45=48']
Exploring Operation: 38+78=116, Resulting Numbers: [48, 116]
Generated Node #3: [48, 116] from Operation: 38+78=116
Current State: 68:[48, 116], Operations: ['93-45=48', '38+78=116']
Exploring Operation: 116-48=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
98,
49,
14,
86
] | 51 | [
"98-49=49",
"14+86=100",
"100-49=51"
] | Current State: 51:[98, 49, 14, 86], Operations: []
Exploring Operation: 98-49=49, Resulting Numbers: [14, 86, 49]
Generated Node #2: [14, 86, 49] from Operation: 98-49=49
Current State: 51:[14, 86, 49], Operations: ['98-49=49']
Exploring Operation: 14+86=100, Resulting Numbers: [49, 100]
Generated Node #3: [49, 100] from Operation: 14+86=100
Current State: 51:[49, 100], Operations: ['98-49=49', '14+86=100']
Exploring Operation: 100-49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
14,
89,
6,
8
] | 73 | [
"89-14=75",
"8-6=2",
"75-2=73"
] | Current State: 73:[14, 89, 6, 8], Operations: []
Exploring Operation: 89-14=75, Resulting Numbers: [6, 8, 75]
Generated Node #2: [6, 8, 75] from Operation: 89-14=75
Current State: 73:[6, 8, 75], Operations: ['89-14=75']
Exploring Operation: 8-6=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 8-6=2
Current State: 73:[75, 2], Operations: ['89-14=75', '8-6=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
84,
15,
43,
54
] | 86 | [
"84-54=30",
"30/15=2",
"43*2=86"
] | Current State: 86:[84, 15, 43, 54], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [15, 43, 30]
Generated Node #2: [15, 43, 30] from Operation: 84-54=30
Current State: 86:[15, 43, 30], Operations: ['84-54=30']
Exploring Operation: 30/15=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 30/15=2
Current State: 86:[43, 2], Operations: ['84-54=30', '30/15=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
78,
21,
39
] | 57 | [
"4*39=156",
"78+21=99",
"156-99=57"
] | Current State: 57:[4, 78, 21, 39], Operations: []
Exploring Operation: 4*39=156, Resulting Numbers: [78, 21, 156]
Generated Node #2: [78, 21, 156] from Operation: 4*39=156
Current State: 57:[78, 21, 156], Operations: ['4*39=156']
Exploring Operation: 78+21=99, Resulting Numbers: [156, 99]
Generated Node #3: [156, 99] from Operation: 78+21=99
Current State: 57:[156, 99], Operations: ['4*39=156', '78+21=99']
Exploring Operation: 156-99=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
60,
12,
85,
57
] | 44 | [
"60+12=72",
"85-57=28",
"72-28=44"
] | Current State: 44:[60, 12, 85, 57], Operations: []
Exploring Operation: 60+12=72, Resulting Numbers: [85, 57, 72]
Generated Node #2: [85, 57, 72] from Operation: 60+12=72
Current State: 44:[85, 57, 72], Operations: ['60+12=72']
Exploring Operation: 85-57=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 85-57=28
Current State: 44:[72, 28], Operations: ['60+12=72', '85-57=28']
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
68,
15,
54,
57
] | 51 | [
"68*54=3672",
"15+57=72",
"3672/72=51"
] | Current State: 51:[68, 15, 54, 57], Operations: []
Exploring Operation: 68*54=3672, Resulting Numbers: [15, 57, 3672]
Generated Node #2: [15, 57, 3672] from Operation: 68*54=3672
Current State: 51:[15, 57, 3672], Operations: ['68*54=3672']
Exploring Operation: 15+57=72, Resulting Numbers: [3672, 72]
Generated Node #3: [3672, 72] from Operation: 15+57=72
Current State: 51:[3672, 72], Operations: ['68*54=3672', '15+57=72']
Exploring Operation: 3672/72=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
4,
25,
53,
40
] | 87 | [
"4*25=100",
"53-40=13",
"100-13=87"
] | Current State: 87:[4, 25, 53, 40], Operations: []
Exploring Operation: 4*25=100, Resulting Numbers: [53, 40, 100]
Generated Node #2: [53, 40, 100] from Operation: 4*25=100
Current State: 87:[53, 40, 100], Operations: ['4*25=100']
Exploring Operation: 53-40=13, Resulting Numbers: [100, 13]
Generated Node #3: [100, 13] from Operation: 53-40=13
Current State: 87:[100, 13], Operations: ['4*25=100', '53-40=13']
Exploring Operation: 100-13=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
8,
55,
70,
39
] | 16 | [
"55-8=47",
"70-39=31",
"47-31=16"
] | Current State: 16:[8, 55, 70, 39], Operations: []
Exploring Operation: 55-8=47, Resulting Numbers: [70, 39, 47]
Generated Node #2: [70, 39, 47] from Operation: 55-8=47
Current State: 16:[70, 39, 47], Operations: ['55-8=47']
Exploring Operation: 70-39=31, Resulting Numbers: [47, 31]
Generated Node #3: [47, 31] from Operation: 70-39=31
Current State: 16:[47, 31], Operations: ['55-8=47', '70-39=31']
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
20,
30,
13,
58
] | 24 | [
"20+58=78",
"78/13=6",
"30-6=24"
] | Current State: 24:[20, 30, 13, 58], Operations: []
Exploring Operation: 20+58=78, Resulting Numbers: [30, 13, 78]
Generated Node #2: [30, 13, 78] from Operation: 20+58=78
Current State: 24:[30, 13, 78], Operations: ['20+58=78']
Exploring Operation: 78/13=6, Resulting Numbers: [30, 6]
Generated Node #3: [30, 6] from Operation: 78/13=6
Current State: 24:[30, 6], Operations: ['20+58=78', '78/13=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
65,
72,
4,
48
] | 95 | [
"65+48=113",
"72/4=18",
"113-18=95"
] | Current State: 95:[65, 72, 4, 48], Operations: []
Exploring Operation: 65+48=113, Resulting Numbers: [72, 4, 113]
Generated Node #2: [72, 4, 113] from Operation: 65+48=113
Current State: 95:[72, 4, 113], Operations: ['65+48=113']
Exploring Operation: 72/4=18, Resulting Numbers: [113, 18]
Generated Node #3: [113, 18] from Operation: 72/4=18
Current State: 95:[113, 18], Operations: ['65+48=113', '72/4=18']
Exploring Operation: 113-18=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
90,
60,
42,
45
] | 99 | [
"90+42=132",
"45*132=5940",
"5940/60=99"
] | Current State: 99:[90, 60, 42, 45], Operations: []
Exploring Operation: 90+42=132, Resulting Numbers: [60, 45, 132]
Generated Node #2: [60, 45, 132] from Operation: 90+42=132
Current State: 99:[60, 45, 132], Operations: ['90+42=132']
Exploring Operation: 45*132=5940, Resulting Numbers: [60, 5940]
Generated Node #3: [60, 5940] from Operation: 45*132=5940
Current State: 99:[60, 5940], Operations: ['90+42=132', '45*132=5940']
Exploring Operation: 5940/60=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
1,
69,
34,
73
] | 29 | [
"69-1=68",
"73-34=39",
"68-39=29"
] | Current State: 29:[1, 69, 34, 73], Operations: []
Exploring Operation: 69-1=68, Resulting Numbers: [34, 73, 68]
Generated Node #2: [34, 73, 68] from Operation: 69-1=68
Current State: 29:[34, 73, 68], Operations: ['69-1=68']
Exploring Operation: 73-34=39, Resulting Numbers: [68, 39]
Generated Node #3: [68, 39] from Operation: 73-34=39
Current State: 29:[68, 39], Operations: ['69-1=68', '73-34=39']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
54,
18,
61,
28
] | 14 | [
"61-54=7",
"28/7=4",
"18-4=14"
] | Current State: 14:[54, 18, 61, 28], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [18, 28, 7]
Generated Node #2: [18, 28, 7] from Operation: 61-54=7
Current State: 14:[18, 28, 7], Operations: ['61-54=7']
Exploring Operation: 28/7=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 28/7=4
Current State: 14:[18, 4], Operations: ['61-54=7', '28/7=4']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
5,
17,
25,
84
] | 44 | [
"25-17=8",
"5*8=40",
"84-40=44"
] | Current State: 44:[5, 17, 25, 84], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [5, 84, 8]
Generated Node #2: [5, 84, 8] from Operation: 25-17=8
Current State: 44:[5, 84, 8], Operations: ['25-17=8']
Exploring Operation: 5*8=40, Resulting Numbers: [84, 40]
Generated Node #3: [84, 40] from Operation: 5*8=40
Current State: 44:[84, 40], Operations: ['25-17=8', '5*8=40']
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
76,
11,
66,
77
] | 57 | [
"76*66=5016",
"11+77=88",
"5016/88=57"
] | Current State: 57:[76, 11, 66, 77], Operations: []
Exploring Operation: 76*66=5016, Resulting Numbers: [11, 77, 5016]
Generated Node #2: [11, 77, 5016] from Operation: 76*66=5016
Current State: 57:[11, 77, 5016], Operations: ['76*66=5016']
Exploring Operation: 11+77=88, Resulting Numbers: [5016, 88]
Generated Node #3: [5016, 88] from Operation: 11+77=88
Current State: 57:[5016, 88], Operations: ['76*66=5016', '11+77=88']
Exploring Operation: 5016/88=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
4,
8,
81,
75
] | 52 | [
"81-75=6",
"8*6=48",
"4+48=52"
] | Current State: 52:[4, 8, 81, 75], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [4, 8, 6]
Generated Node #2: [4, 8, 6] from Operation: 81-75=6
Current State: 52:[4, 8, 6], Operations: ['81-75=6']
Exploring Operation: 8*6=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 8*6=48
Current State: 52:[4, 48], Operations: ['81-75=6', '8*6=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
77,
8,
31,
3
] | 84 | [
"77+31=108",
"8*3=24",
"108-24=84"
] | Current State: 84:[77, 8, 31, 3], Operations: []
Exploring Operation: 77+31=108, Resulting Numbers: [8, 3, 108]
Generated Node #2: [8, 3, 108] from Operation: 77+31=108
Current State: 84:[8, 3, 108], Operations: ['77+31=108']
Exploring Operation: 8*3=24, Resulting Numbers: [108, 24]
Generated Node #3: [108, 24] from Operation: 8*3=24
Current State: 84:[108, 24], Operations: ['77+31=108', '8*3=24']
Exploring Operation: 108-24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
2,
75,
71
] | 10 | [
"75-71=4",
"2*4=8",
"2+8=10"
] | Current State: 10:[2, 2, 75, 71], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [2, 2, 4]
Generated Node #2: [2, 2, 4] from Operation: 75-71=4
Current State: 10:[2, 2, 4], Operations: ['75-71=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,10 equal: Goal Reached
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
12,
18,
61,
56
] | 35 | [
"12+18=30",
"61-56=5",
"30+5=35"
] | Current State: 35:[12, 18, 61, 56], Operations: []
Exploring Operation: 12+18=30, Resulting Numbers: [61, 56, 30]
Generated Node #2: [61, 56, 30] from Operation: 12+18=30
Current State: 35:[61, 56, 30], Operations: ['12+18=30']
Exploring Operation: 61-56=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 61-56=5
Current State: 35:[30, 5], Operations: ['12+18=30', '61-56=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
58,
35,
97,
60
] | 15 | [
"58+35=93",
"97-93=4",
"60/4=15"
] | Current State: 15:[58, 35, 97, 60], Operations: []
Exploring Operation: 58+35=93, Resulting Numbers: [97, 60, 93]
Generated Node #2: [97, 60, 93] from Operation: 58+35=93
Current State: 15:[97, 60, 93], Operations: ['58+35=93']
Exploring Operation: 97-93=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 97-93=4
Current State: 15:[60, 4], Operations: ['58+35=93', '97-93=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
51,
9,
54,
96
] | 69 | [
"54-51=3",
"9*3=27",
"96-27=69"
] | Current State: 69:[51, 9, 54, 96], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [9, 96, 3]
Generated Node #2: [9, 96, 3] from Operation: 54-51=3
Current State: 69:[9, 96, 3], Operations: ['54-51=3']
Exploring Operation: 9*3=27, Resulting Numbers: [96, 27]
Generated Node #3: [96, 27] from Operation: 9*3=27
Current State: 69:[96, 27], Operations: ['54-51=3', '9*3=27']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
28,
50,
45,
5
] | 72 | [
"50-28=22",
"45+5=50",
"22+50=72"
] | Current State: 72:[28, 50, 45, 5], Operations: []
Exploring Operation: 50-28=22, Resulting Numbers: [45, 5, 22]
Generated Node #2: [45, 5, 22] from Operation: 50-28=22
Current State: 72:[45, 5, 22], Operations: ['50-28=22']
Exploring Operation: 45+5=50, Resulting Numbers: [22, 50]
Generated Node #3: [22, 50] from Operation: 45+5=50
Current State: 72:[22, 50], Operations: ['50-28=22', '45+5=50']
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
30,
78,
67,
2
] | 52 | [
"78-67=11",
"2*11=22",
"30+22=52"
] | Current State: 52:[30, 78, 67, 2], Operations: []
Exploring Operation: 78-67=11, Resulting Numbers: [30, 2, 11]
Generated Node #2: [30, 2, 11] from Operation: 78-67=11
Current State: 52:[30, 2, 11], Operations: ['78-67=11']
Exploring Operation: 2*11=22, Resulting Numbers: [30, 22]
Generated Node #3: [30, 22] from Operation: 2*11=22
Current State: 52:[30, 22], Operations: ['78-67=11', '2*11=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
71,
37,
40,
60
] | 33 | [
"71-60=11",
"40-37=3",
"11*3=33"
] | Current State: 33:[71, 37, 40, 60], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [37, 40, 11]
Generated Node #2: [37, 40, 11] from Operation: 71-60=11
Current State: 33:[37, 40, 11], Operations: ['71-60=11']
Exploring Operation: 40-37=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 40-37=3
Current State: 33:[11, 3], Operations: ['71-60=11', '40-37=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
82,
21,
41,
66
] | 43 | [
"82/41=2",
"66-21=45",
"45-2=43"
] | Current State: 43:[82, 21, 41, 66], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [21, 66, 2]
Generated Node #2: [21, 66, 2] from Operation: 82/41=2
Current State: 43:[21, 66, 2], Operations: ['82/41=2']
Exploring Operation: 66-21=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 66-21=45
Current State: 43:[2, 45], Operations: ['82/41=2', '66-21=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
36,
85,
6,
31
] | 85 | [
"36-6=30",
"31-30=1",
"85*1=85"
] | Current State: 85:[36, 85, 6, 31], Operations: []
Exploring Operation: 36-6=30, Resulting Numbers: [85, 31, 30]
Generated Node #2: [85, 31, 30] from Operation: 36-6=30
Current State: 85:[85, 31, 30], Operations: ['36-6=30']
Exploring Operation: 31-30=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 31-30=1
Current State: 85:[85, 1], Operations: ['36-6=30', '31-30=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
57,
39,
19,
21
] | 58 | [
"57-39=18",
"19+21=40",
"18+40=58"
] | Current State: 58:[57, 39, 19, 21], Operations: []
Exploring Operation: 57-39=18, Resulting Numbers: [19, 21, 18]
Generated Node #2: [19, 21, 18] from Operation: 57-39=18
Current State: 58:[19, 21, 18], Operations: ['57-39=18']
Exploring Operation: 19+21=40, Resulting Numbers: [18, 40]
Generated Node #3: [18, 40] from Operation: 19+21=40
Current State: 58:[18, 40], Operations: ['57-39=18', '19+21=40']
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
70,
6,
23,
7
] | 85 | [
"70+6=76",
"23*7=161",
"161-76=85"
] | Current State: 85:[70, 6, 23, 7], Operations: []
Exploring Operation: 70+6=76, Resulting Numbers: [23, 7, 76]
Generated Node #2: [23, 7, 76] from Operation: 70+6=76
Current State: 85:[23, 7, 76], Operations: ['70+6=76']
Exploring Operation: 23*7=161, Resulting Numbers: [76, 161]
Generated Node #3: [76, 161] from Operation: 23*7=161
Current State: 85:[76, 161], Operations: ['70+6=76', '23*7=161']
Exploring Operation: 161-76=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
9,
75,
44,
49
] | 79 | [
"9+75=84",
"49-44=5",
"84-5=79"
] | Current State: 79:[9, 75, 44, 49], Operations: []
Exploring Operation: 9+75=84, Resulting Numbers: [44, 49, 84]
Generated Node #2: [44, 49, 84] from Operation: 9+75=84
Current State: 79:[44, 49, 84], Operations: ['9+75=84']
Exploring Operation: 49-44=5, Resulting Numbers: [84, 5]
Generated Node #3: [84, 5] from Operation: 49-44=5
Current State: 79:[84, 5], Operations: ['9+75=84', '49-44=5']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
95,
3,
24,
49
] | 25 | [
"95+3=98",
"24+49=73",
"98-73=25"
] | Current State: 25:[95, 3, 24, 49], Operations: []
Exploring Operation: 95+3=98, Resulting Numbers: [24, 49, 98]
Generated Node #2: [24, 49, 98] from Operation: 95+3=98
Current State: 25:[24, 49, 98], Operations: ['95+3=98']
Exploring Operation: 24+49=73, Resulting Numbers: [98, 73]
Generated Node #3: [98, 73] from Operation: 24+49=73
Current State: 25:[98, 73], Operations: ['95+3=98', '24+49=73']
Exploring Operation: 98-73=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
18,
32,
19,
34
] | 96 | [
"18+19=37",
"37-34=3",
"32*3=96"
] | Current State: 96:[18, 32, 19, 34], Operations: []
Exploring Operation: 18+19=37, Resulting Numbers: [32, 34, 37]
Generated Node #2: [32, 34, 37] from Operation: 18+19=37
Current State: 96:[32, 34, 37], Operations: ['18+19=37']
Exploring Operation: 37-34=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 37-34=3
Current State: 96:[32, 3], Operations: ['18+19=37', '37-34=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
36,
7,
47,
75
] | 15 | [
"36+7=43",
"75-47=28",
"43-28=15"
] | Current State: 15:[36, 7, 47, 75], Operations: []
Exploring Operation: 36+7=43, Resulting Numbers: [47, 75, 43]
Generated Node #2: [47, 75, 43] from Operation: 36+7=43
Current State: 15:[47, 75, 43], Operations: ['36+7=43']
Exploring Operation: 75-47=28, Resulting Numbers: [43, 28]
Generated Node #3: [43, 28] from Operation: 75-47=28
Current State: 15:[43, 28], Operations: ['36+7=43', '75-47=28']
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
47,
23,
98,
72
] | 49 | [
"47+23=70",
"72-70=2",
"98/2=49"
] | Current State: 49:[47, 23, 98, 72], Operations: []
Exploring Operation: 47+23=70, Resulting Numbers: [98, 72, 70]
Generated Node #2: [98, 72, 70] from Operation: 47+23=70
Current State: 49:[98, 72, 70], Operations: ['47+23=70']
Exploring Operation: 72-70=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 72-70=2
Current State: 49:[98, 2], Operations: ['47+23=70', '72-70=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
10,
62,
9,
45
] | 73 | [
"10*9=90",
"62-45=17",
"90-17=73"
] | Current State: 73:[10, 62, 9, 45], Operations: []
Exploring Operation: 10*9=90, Resulting Numbers: [62, 45, 90]
Generated Node #2: [62, 45, 90] from Operation: 10*9=90
Current State: 73:[62, 45, 90], Operations: ['10*9=90']
Exploring Operation: 62-45=17, Resulting Numbers: [90, 17]
Generated Node #3: [90, 17] from Operation: 62-45=17
Current State: 73:[90, 17], Operations: ['10*9=90', '62-45=17']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
27,
2,
65,
71
] | 95 | [
"65+71=136",
"136/2=68",
"27+68=95"
] | Current State: 95:[27, 2, 65, 71], Operations: []
Exploring Operation: 65+71=136, Resulting Numbers: [27, 2, 136]
Generated Node #2: [27, 2, 136] from Operation: 65+71=136
Current State: 95:[27, 2, 136], Operations: ['65+71=136']
Exploring Operation: 136/2=68, Resulting Numbers: [27, 68]
Generated Node #3: [27, 68] from Operation: 136/2=68
Current State: 95:[27, 68], Operations: ['65+71=136', '136/2=68']
Exploring Operation: 27+68=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
99,
4,
68,
93
] | 23 | [
"99-93=6",
"68/4=17",
"6+17=23"
] | Current State: 23:[99, 4, 68, 93], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [4, 68, 6]
Generated Node #2: [4, 68, 6] from Operation: 99-93=6
Current State: 23:[4, 68, 6], Operations: ['99-93=6']
Exploring Operation: 68/4=17, Resulting Numbers: [6, 17]
Generated Node #3: [6, 17] from Operation: 68/4=17
Current State: 23:[6, 17], Operations: ['99-93=6', '68/4=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
27,
10,
81,
15
] | 55 | [
"81/27=3",
"15*3=45",
"10+45=55"
] | Current State: 55:[27, 10, 81, 15], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [10, 15, 3]
Generated Node #2: [10, 15, 3] from Operation: 81/27=3
Current State: 55:[10, 15, 3], Operations: ['81/27=3']
Exploring Operation: 15*3=45, Resulting Numbers: [10, 45]
Generated Node #3: [10, 45] from Operation: 15*3=45
Current State: 55:[10, 45], Operations: ['81/27=3', '15*3=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
8,
30,
62,
59
] | 98 | [
"62-59=3",
"30*3=90",
"8+90=98"
] | Current State: 98:[8, 30, 62, 59], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [8, 30, 3]
Generated Node #2: [8, 30, 3] from Operation: 62-59=3
Current State: 98:[8, 30, 3], Operations: ['62-59=3']
Exploring Operation: 30*3=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 30*3=90
Current State: 98:[8, 90], Operations: ['62-59=3', '30*3=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
90,
19,
7,
84
] | 97 | [
"90+19=109",
"84/7=12",
"109-12=97"
] | Current State: 97:[90, 19, 7, 84], Operations: []
Exploring Operation: 90+19=109, Resulting Numbers: [7, 84, 109]
Generated Node #2: [7, 84, 109] from Operation: 90+19=109
Current State: 97:[7, 84, 109], Operations: ['90+19=109']
Exploring Operation: 84/7=12, Resulting Numbers: [109, 12]
Generated Node #3: [109, 12] from Operation: 84/7=12
Current State: 97:[109, 12], Operations: ['90+19=109', '84/7=12']
Exploring Operation: 109-12=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
61,
48,
74,
1
] | 86 | [
"61-48=13",
"74-1=73",
"13+73=86"
] | Current State: 86:[61, 48, 74, 1], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [74, 1, 13]
Generated Node #2: [74, 1, 13] from Operation: 61-48=13
Current State: 86:[74, 1, 13], Operations: ['61-48=13']
Exploring Operation: 74-1=73, Resulting Numbers: [13, 73]
Generated Node #3: [13, 73] from Operation: 74-1=73
Current State: 86:[13, 73], Operations: ['61-48=13', '74-1=73']
Exploring Operation: 13+73=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
97,
24,
93,
96
] | 90 | [
"97-93=4",
"24/4=6",
"96-6=90"
] | Current State: 90:[97, 24, 93, 96], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [24, 96, 4]
Generated Node #2: [24, 96, 4] from Operation: 97-93=4
Current State: 90:[24, 96, 4], Operations: ['97-93=4']
Exploring Operation: 24/4=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 24/4=6
Current State: 90:[96, 6], Operations: ['97-93=4', '24/4=6']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
81,
89,
49,
36
] | 90 | [
"89-49=40",
"81*40=3240",
"3240/36=90"
] | Current State: 90:[81, 89, 49, 36], Operations: []
Exploring Operation: 89-49=40, Resulting Numbers: [81, 36, 40]
Generated Node #2: [81, 36, 40] from Operation: 89-49=40
Current State: 90:[81, 36, 40], Operations: ['89-49=40']
Exploring Operation: 81*40=3240, Resulting Numbers: [36, 3240]
Generated Node #3: [36, 3240] from Operation: 81*40=3240
Current State: 90:[36, 3240], Operations: ['89-49=40', '81*40=3240']
Exploring Operation: 3240/36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
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