nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
67,
15,
12,
34
] | 79 | [
"67+34=101",
"15*12=180",
"180-101=79"
] | Current State: 79:[67, 15, 12, 34], Operations: []
Exploring Operation: 67+34=101, Resulting Numbers: [15, 12, 101]
Generated Node #2: [15, 12, 101] from Operation: 67+34=101
Current State: 79:[15, 12, 101], Operations: ['67+34=101']
Exploring Operation: 15*12=180, Resulting Numbers: [101, 180]
Generated Node #3: [101, 180] from Operation: 15*12=180
Current State: 79:[101, 180], Operations: ['67+34=101', '15*12=180']
Exploring Operation: 180-101=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
79,
40,
26,
19
] | 46 | [
"79-40=39",
"26-19=7",
"39+7=46"
] | Current State: 46:[79, 40, 26, 19], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [26, 19, 39]
Generated Node #2: [26, 19, 39] from Operation: 79-40=39
Current State: 46:[26, 19, 39], Operations: ['79-40=39']
Exploring Operation: 26-19=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 26-19=7
Current State: 46:[39, 7], Operations: ['79-40=39', '26-19=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
54,
41,
15,
38
] | 13 | [
"54-15=39",
"41-38=3",
"39/3=13"
] | Current State: 13:[54, 41, 15, 38], Operations: []
Exploring Operation: 54-15=39, Resulting Numbers: [41, 38, 39]
Generated Node #2: [41, 38, 39] from Operation: 54-15=39
Current State: 13:[41, 38, 39], Operations: ['54-15=39']
Exploring Operation: 41-38=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 41-38=3
Current State: 13:[39, 3], Operations: ['54-15=39', '41-38=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
56,
52,
49
] | 53 | [
"56-49=7",
"15*7=105",
"105-52=53"
] | Current State: 53:[15, 56, 52, 49], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [15, 52, 7]
Generated Node #2: [15, 52, 7] from Operation: 56-49=7
Current State: 53:[15, 52, 7], Operations: ['56-49=7']
Exploring Operation: 15*7=105, Resulting Numbers: [52, 105]
Generated Node #3: [52, 105] from Operation: 15*7=105
Current State: 53:[52, 105], Operations: ['56-49=7', '15*7=105']
Exploring Operation: 105-52=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
41,
88,
2,
23
] | 69 | [
"88/2=44",
"44-41=3",
"23*3=69"
] | Current State: 69:[41, 88, 2, 23], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [41, 23, 44]
Generated Node #2: [41, 23, 44] from Operation: 88/2=44
Current State: 69:[41, 23, 44], Operations: ['88/2=44']
Exploring Operation: 44-41=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 44-41=3
Current State: 69:[23, 3], Operations: ['88/2=44', '44-41=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
62,
68,
50,
39
] | 15 | [
"62+68=130",
"50*39=1950",
"1950/130=15"
] | Current State: 15:[62, 68, 50, 39], Operations: []
Exploring Operation: 62+68=130, Resulting Numbers: [50, 39, 130]
Generated Node #2: [50, 39, 130] from Operation: 62+68=130
Current State: 15:[50, 39, 130], Operations: ['62+68=130']
Exploring Operation: 50*39=1950, Resulting Numbers: [130, 1950]
Generated Node #3: [130, 1950] from Operation: 50*39=1950
Current State: 15:[130, 1950], Operations: ['62+68=130', '50*39=1950']
Exploring Operation: 1950/130=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
9,
23,
24,
45
] | 42 | [
"45/9=5",
"23+24=47",
"47-5=42"
] | Current State: 42:[9, 23, 24, 45], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [23, 24, 5]
Generated Node #2: [23, 24, 5] from Operation: 45/9=5
Current State: 42:[23, 24, 5], Operations: ['45/9=5']
Exploring Operation: 23+24=47, Resulting Numbers: [5, 47]
Generated Node #3: [5, 47] from Operation: 23+24=47
Current State: 42:[5, 47], Operations: ['45/9=5', '23+24=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
62,
9,
92,
91
] | 53 | [
"62-9=53",
"92-91=1",
"53*1=53"
] | Current State: 53:[62, 9, 92, 91], Operations: []
Exploring Operation: 62-9=53, Resulting Numbers: [92, 91, 53]
Generated Node #2: [92, 91, 53] from Operation: 62-9=53
Current State: 53:[92, 91, 53], Operations: ['62-9=53']
Exploring Operation: 92-91=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 92-91=1
Current State: 53:[53, 1], Operations: ['62-9=53', '92-91=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
6,
59,
16,
23
] | 96 | [
"59-23=36",
"36/6=6",
"16*6=96"
] | Current State: 96:[6, 59, 16, 23], Operations: []
Exploring Operation: 59-23=36, Resulting Numbers: [6, 16, 36]
Generated Node #2: [6, 16, 36] from Operation: 59-23=36
Current State: 96:[6, 16, 36], Operations: ['59-23=36']
Exploring Operation: 36/6=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 36/6=6
Current State: 96:[16, 6], Operations: ['59-23=36', '36/6=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
60,
65,
48,
43
] | 86 | [
"65-60=5",
"48+43=91",
"91-5=86"
] | Current State: 86:[60, 65, 48, 43], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [48, 43, 5]
Generated Node #2: [48, 43, 5] from Operation: 65-60=5
Current State: 86:[48, 43, 5], Operations: ['65-60=5']
Exploring Operation: 48+43=91, Resulting Numbers: [5, 91]
Generated Node #3: [5, 91] from Operation: 48+43=91
Current State: 86:[5, 91], Operations: ['65-60=5', '48+43=91']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
13,
43,
3,
83
] | 73 | [
"43-13=30",
"30/3=10",
"83-10=73"
] | Current State: 73:[13, 43, 3, 83], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [3, 83, 30]
Generated Node #2: [3, 83, 30] from Operation: 43-13=30
Current State: 73:[3, 83, 30], Operations: ['43-13=30']
Exploring Operation: 30/3=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 30/3=10
Current State: 73:[83, 10], Operations: ['43-13=30', '30/3=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
90,
97,
9,
23
] | 25 | [
"97-90=7",
"9+23=32",
"32-7=25"
] | Current State: 25:[90, 97, 9, 23], Operations: []
Exploring Operation: 97-90=7, Resulting Numbers: [9, 23, 7]
Generated Node #2: [9, 23, 7] from Operation: 97-90=7
Current State: 25:[9, 23, 7], Operations: ['97-90=7']
Exploring Operation: 9+23=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 9+23=32
Current State: 25:[7, 32], Operations: ['97-90=7', '9+23=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
18,
10,
30,
94
] | 40 | [
"18*30=540",
"540/10=54",
"94-54=40"
] | Current State: 40:[18, 10, 30, 94], Operations: []
Exploring Operation: 18*30=540, Resulting Numbers: [10, 94, 540]
Generated Node #2: [10, 94, 540] from Operation: 18*30=540
Current State: 40:[10, 94, 540], Operations: ['18*30=540']
Exploring Operation: 540/10=54, Resulting Numbers: [94, 54]
Generated Node #3: [94, 54] from Operation: 540/10=54
Current State: 40:[94, 54], Operations: ['18*30=540', '540/10=54']
Exploring Operation: 94-54=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
23,
19,
59
] | 20 | [
"23-21=2",
"59-19=40",
"40/2=20"
] | Current State: 20:[21, 23, 19, 59], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [19, 59, 2]
Generated Node #2: [19, 59, 2] from Operation: 23-21=2
Current State: 20:[19, 59, 2], Operations: ['23-21=2']
Exploring Operation: 59-19=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 59-19=40
Current State: 20:[2, 40], Operations: ['23-21=2', '59-19=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
56,
3,
48,
6
] | 21 | [
"56*3=168",
"48/6=8",
"168/8=21"
] | Current State: 21:[56, 3, 48, 6], Operations: []
Exploring Operation: 56*3=168, Resulting Numbers: [48, 6, 168]
Generated Node #2: [48, 6, 168] from Operation: 56*3=168
Current State: 21:[48, 6, 168], Operations: ['56*3=168']
Exploring Operation: 48/6=8, Resulting Numbers: [168, 8]
Generated Node #3: [168, 8] from Operation: 48/6=8
Current State: 21:[168, 8], Operations: ['56*3=168', '48/6=8']
Exploring Operation: 168/8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
43,
45,
3,
84
] | 60 | [
"43+45=88",
"84/3=28",
"88-28=60"
] | Current State: 60:[43, 45, 3, 84], Operations: []
Exploring Operation: 43+45=88, Resulting Numbers: [3, 84, 88]
Generated Node #2: [3, 84, 88] from Operation: 43+45=88
Current State: 60:[3, 84, 88], Operations: ['43+45=88']
Exploring Operation: 84/3=28, Resulting Numbers: [88, 28]
Generated Node #3: [88, 28] from Operation: 84/3=28
Current State: 60:[88, 28], Operations: ['43+45=88', '84/3=28']
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
30,
1,
33,
3
] | 56 | [
"30*3=90",
"1+33=34",
"90-34=56"
] | Current State: 56:[30, 1, 33, 3], Operations: []
Exploring Operation: 30*3=90, Resulting Numbers: [1, 33, 90]
Generated Node #2: [1, 33, 90] from Operation: 30*3=90
Current State: 56:[1, 33, 90], Operations: ['30*3=90']
Exploring Operation: 1+33=34, Resulting Numbers: [90, 34]
Generated Node #3: [90, 34] from Operation: 1+33=34
Current State: 56:[90, 34], Operations: ['30*3=90', '1+33=34']
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
17,
57,
90,
96
] | 80 | [
"17+57=74",
"96-90=6",
"74+6=80"
] | Current State: 80:[17, 57, 90, 96], Operations: []
Exploring Operation: 17+57=74, Resulting Numbers: [90, 96, 74]
Generated Node #2: [90, 96, 74] from Operation: 17+57=74
Current State: 80:[90, 96, 74], Operations: ['17+57=74']
Exploring Operation: 96-90=6, Resulting Numbers: [74, 6]
Generated Node #3: [74, 6] from Operation: 96-90=6
Current State: 80:[74, 6], Operations: ['17+57=74', '96-90=6']
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
2,
45,
61,
20
] | 73 | [
"45+61=106",
"106/2=53",
"20+53=73"
] | Current State: 73:[2, 45, 61, 20], Operations: []
Exploring Operation: 45+61=106, Resulting Numbers: [2, 20, 106]
Generated Node #2: [2, 20, 106] from Operation: 45+61=106
Current State: 73:[2, 20, 106], Operations: ['45+61=106']
Exploring Operation: 106/2=53, Resulting Numbers: [20, 53]
Generated Node #3: [20, 53] from Operation: 106/2=53
Current State: 73:[20, 53], Operations: ['45+61=106', '106/2=53']
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
60,
40,
69,
81
] | 100 | [
"69+81=150",
"40*150=6000",
"6000/60=100"
] | Current State: 100:[60, 40, 69, 81], Operations: []
Exploring Operation: 69+81=150, Resulting Numbers: [60, 40, 150]
Generated Node #2: [60, 40, 150] from Operation: 69+81=150
Current State: 100:[60, 40, 150], Operations: ['69+81=150']
Exploring Operation: 40*150=6000, Resulting Numbers: [60, 6000]
Generated Node #3: [60, 6000] from Operation: 40*150=6000
Current State: 100:[60, 6000], Operations: ['69+81=150', '40*150=6000']
Exploring Operation: 6000/60=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
25,
62,
8,
98
] | 53 | [
"62-25=37",
"98-8=90",
"90-37=53"
] | Current State: 53:[25, 62, 8, 98], Operations: []
Exploring Operation: 62-25=37, Resulting Numbers: [8, 98, 37]
Generated Node #2: [8, 98, 37] from Operation: 62-25=37
Current State: 53:[8, 98, 37], Operations: ['62-25=37']
Exploring Operation: 98-8=90, Resulting Numbers: [37, 90]
Generated Node #3: [37, 90] from Operation: 98-8=90
Current State: 53:[37, 90], Operations: ['62-25=37', '98-8=90']
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
30,
49,
41,
38
] | 98 | [
"49-30=19",
"41+38=79",
"19+79=98"
] | Current State: 98:[30, 49, 41, 38], Operations: []
Exploring Operation: 49-30=19, Resulting Numbers: [41, 38, 19]
Generated Node #2: [41, 38, 19] from Operation: 49-30=19
Current State: 98:[41, 38, 19], Operations: ['49-30=19']
Exploring Operation: 41+38=79, Resulting Numbers: [19, 79]
Generated Node #3: [19, 79] from Operation: 41+38=79
Current State: 98:[19, 79], Operations: ['49-30=19', '41+38=79']
Exploring Operation: 19+79=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
92,
17,
41,
32
] | 36 | [
"92+17=109",
"41+32=73",
"109-73=36"
] | Current State: 36:[92, 17, 41, 32], Operations: []
Exploring Operation: 92+17=109, Resulting Numbers: [41, 32, 109]
Generated Node #2: [41, 32, 109] from Operation: 92+17=109
Current State: 36:[41, 32, 109], Operations: ['92+17=109']
Exploring Operation: 41+32=73, Resulting Numbers: [109, 73]
Generated Node #3: [109, 73] from Operation: 41+32=73
Current State: 36:[109, 73], Operations: ['92+17=109', '41+32=73']
Exploring Operation: 109-73=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
26,
57,
54,
22
] | 63 | [
"57-26=31",
"54-22=32",
"31+32=63"
] | Current State: 63:[26, 57, 54, 22], Operations: []
Exploring Operation: 57-26=31, Resulting Numbers: [54, 22, 31]
Generated Node #2: [54, 22, 31] from Operation: 57-26=31
Current State: 63:[54, 22, 31], Operations: ['57-26=31']
Exploring Operation: 54-22=32, Resulting Numbers: [31, 32]
Generated Node #3: [31, 32] from Operation: 54-22=32
Current State: 63:[31, 32], Operations: ['57-26=31', '54-22=32']
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
73,
21,
68,
66
] | 82 | [
"73-21=52",
"68+66=134",
"134-52=82"
] | Current State: 82:[73, 21, 68, 66], Operations: []
Exploring Operation: 73-21=52, Resulting Numbers: [68, 66, 52]
Generated Node #2: [68, 66, 52] from Operation: 73-21=52
Current State: 82:[68, 66, 52], Operations: ['73-21=52']
Exploring Operation: 68+66=134, Resulting Numbers: [52, 134]
Generated Node #3: [52, 134] from Operation: 68+66=134
Current State: 82:[52, 134], Operations: ['73-21=52', '68+66=134']
Exploring Operation: 134-52=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
93,
63,
56,
61
] | 25 | [
"93-63=30",
"61-56=5",
"30-5=25"
] | Current State: 25:[93, 63, 56, 61], Operations: []
Exploring Operation: 93-63=30, Resulting Numbers: [56, 61, 30]
Generated Node #2: [56, 61, 30] from Operation: 93-63=30
Current State: 25:[56, 61, 30], Operations: ['93-63=30']
Exploring Operation: 61-56=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 61-56=5
Current State: 25:[30, 5], Operations: ['93-63=30', '61-56=5']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
80,
13,
5,
28
] | 60 | [
"80+13=93",
"5+28=33",
"93-33=60"
] | Current State: 60:[80, 13, 5, 28], Operations: []
Exploring Operation: 80+13=93, Resulting Numbers: [5, 28, 93]
Generated Node #2: [5, 28, 93] from Operation: 80+13=93
Current State: 60:[5, 28, 93], Operations: ['80+13=93']
Exploring Operation: 5+28=33, Resulting Numbers: [93, 33]
Generated Node #3: [93, 33] from Operation: 5+28=33
Current State: 60:[93, 33], Operations: ['80+13=93', '5+28=33']
Exploring Operation: 93-33=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
38,
77,
42,
83
] | 86 | [
"77-38=39",
"42+83=125",
"125-39=86"
] | Current State: 86:[38, 77, 42, 83], Operations: []
Exploring Operation: 77-38=39, Resulting Numbers: [42, 83, 39]
Generated Node #2: [42, 83, 39] from Operation: 77-38=39
Current State: 86:[42, 83, 39], Operations: ['77-38=39']
Exploring Operation: 42+83=125, Resulting Numbers: [39, 125]
Generated Node #3: [39, 125] from Operation: 42+83=125
Current State: 86:[39, 125], Operations: ['77-38=39', '42+83=125']
Exploring Operation: 125-39=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
97,
2,
30,
84
] | 25 | [
"97-30=67",
"84/2=42",
"67-42=25"
] | Current State: 25:[97, 2, 30, 84], Operations: []
Exploring Operation: 97-30=67, Resulting Numbers: [2, 84, 67]
Generated Node #2: [2, 84, 67] from Operation: 97-30=67
Current State: 25:[2, 84, 67], Operations: ['97-30=67']
Exploring Operation: 84/2=42, Resulting Numbers: [67, 42]
Generated Node #3: [67, 42] from Operation: 84/2=42
Current State: 25:[67, 42], Operations: ['97-30=67', '84/2=42']
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
74,
23,
3,
8
] | 27 | [
"74-23=51",
"3*8=24",
"51-24=27"
] | Current State: 27:[74, 23, 3, 8], Operations: []
Exploring Operation: 74-23=51, Resulting Numbers: [3, 8, 51]
Generated Node #2: [3, 8, 51] from Operation: 74-23=51
Current State: 27:[3, 8, 51], Operations: ['74-23=51']
Exploring Operation: 3*8=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 3*8=24
Current State: 27:[51, 24], Operations: ['74-23=51', '3*8=24']
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
37,
2,
9,
1
] | 14 | [
"37-9=28",
"2*1=2",
"28/2=14"
] | Current State: 14:[37, 2, 9, 1], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [2, 1, 28]
Generated Node #2: [2, 1, 28] from Operation: 37-9=28
Current State: 14:[2, 1, 28], Operations: ['37-9=28']
Exploring Operation: 2*1=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 2*1=2
Current State: 14:[28, 2], Operations: ['37-9=28', '2*1=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
50,
3,
10,
89
] | 74 | [
"50*3=150",
"150/10=15",
"89-15=74"
] | Current State: 74:[50, 3, 10, 89], Operations: []
Exploring Operation: 50*3=150, Resulting Numbers: [10, 89, 150]
Generated Node #2: [10, 89, 150] from Operation: 50*3=150
Current State: 74:[10, 89, 150], Operations: ['50*3=150']
Exploring Operation: 150/10=15, Resulting Numbers: [89, 15]
Generated Node #3: [89, 15] from Operation: 150/10=15
Current State: 74:[89, 15], Operations: ['50*3=150', '150/10=15']
Exploring Operation: 89-15=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
83,
86,
49,
60
] | 14 | [
"86-83=3",
"60-49=11",
"3+11=14"
] | Current State: 14:[83, 86, 49, 60], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [49, 60, 3]
Generated Node #2: [49, 60, 3] from Operation: 86-83=3
Current State: 14:[49, 60, 3], Operations: ['86-83=3']
Exploring Operation: 60-49=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 60-49=11
Current State: 14:[3, 11], Operations: ['86-83=3', '60-49=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
5,
25,
70,
67
] | 78 | [
"70/5=14",
"25+67=92",
"92-14=78"
] | Current State: 78:[5, 25, 70, 67], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [25, 67, 14]
Generated Node #2: [25, 67, 14] from Operation: 70/5=14
Current State: 78:[25, 67, 14], Operations: ['70/5=14']
Exploring Operation: 25+67=92, Resulting Numbers: [14, 92]
Generated Node #3: [14, 92] from Operation: 25+67=92
Current State: 78:[14, 92], Operations: ['70/5=14', '25+67=92']
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
46,
20,
65,
18
] | 45 | [
"46-20=26",
"65*18=1170",
"1170/26=45"
] | Current State: 45:[46, 20, 65, 18], Operations: []
Exploring Operation: 46-20=26, Resulting Numbers: [65, 18, 26]
Generated Node #2: [65, 18, 26] from Operation: 46-20=26
Current State: 45:[65, 18, 26], Operations: ['46-20=26']
Exploring Operation: 65*18=1170, Resulting Numbers: [26, 1170]
Generated Node #3: [26, 1170] from Operation: 65*18=1170
Current State: 45:[26, 1170], Operations: ['46-20=26', '65*18=1170']
Exploring Operation: 1170/26=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
30,
34,
77,
78
] | 65 | [
"30+34=64",
"78-77=1",
"64+1=65"
] | Current State: 65:[30, 34, 77, 78], Operations: []
Exploring Operation: 30+34=64, Resulting Numbers: [77, 78, 64]
Generated Node #2: [77, 78, 64] from Operation: 30+34=64
Current State: 65:[77, 78, 64], Operations: ['30+34=64']
Exploring Operation: 78-77=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 78-77=1
Current State: 65:[64, 1], Operations: ['30+34=64', '78-77=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
9,
73,
65,
10
] | 48 | [
"9*10=90",
"73+65=138",
"138-90=48"
] | Current State: 48:[9, 73, 65, 10], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [73, 65, 90]
Generated Node #2: [73, 65, 90] from Operation: 9*10=90
Current State: 48:[73, 65, 90], Operations: ['9*10=90']
Exploring Operation: 73+65=138, Resulting Numbers: [90, 138]
Generated Node #3: [90, 138] from Operation: 73+65=138
Current State: 48:[90, 138], Operations: ['9*10=90', '73+65=138']
Exploring Operation: 138-90=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
9,
36,
13,
93
] | 79 | [
"36-9=27",
"13+93=106",
"106-27=79"
] | Current State: 79:[9, 36, 13, 93], Operations: []
Exploring Operation: 36-9=27, Resulting Numbers: [13, 93, 27]
Generated Node #2: [13, 93, 27] from Operation: 36-9=27
Current State: 79:[13, 93, 27], Operations: ['36-9=27']
Exploring Operation: 13+93=106, Resulting Numbers: [27, 106]
Generated Node #3: [27, 106] from Operation: 13+93=106
Current State: 79:[27, 106], Operations: ['36-9=27', '13+93=106']
Exploring Operation: 106-27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
40,
20,
37,
69
] | 46 | [
"40+20=60",
"37+69=106",
"106-60=46"
] | Current State: 46:[40, 20, 37, 69], Operations: []
Exploring Operation: 40+20=60, Resulting Numbers: [37, 69, 60]
Generated Node #2: [37, 69, 60] from Operation: 40+20=60
Current State: 46:[37, 69, 60], Operations: ['40+20=60']
Exploring Operation: 37+69=106, Resulting Numbers: [60, 106]
Generated Node #3: [60, 106] from Operation: 37+69=106
Current State: 46:[60, 106], Operations: ['40+20=60', '37+69=106']
Exploring Operation: 106-60=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
64,
13,
52,
51
] | 76 | [
"64+13=77",
"52-51=1",
"77-1=76"
] | Current State: 76:[64, 13, 52, 51], Operations: []
Exploring Operation: 64+13=77, Resulting Numbers: [52, 51, 77]
Generated Node #2: [52, 51, 77] from Operation: 64+13=77
Current State: 76:[52, 51, 77], Operations: ['64+13=77']
Exploring Operation: 52-51=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 52-51=1
Current State: 76:[77, 1], Operations: ['64+13=77', '52-51=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
90,
13,
15,
19
] | 69 | [
"90+13=103",
"15+19=34",
"103-34=69"
] | Current State: 69:[90, 13, 15, 19], Operations: []
Exploring Operation: 90+13=103, Resulting Numbers: [15, 19, 103]
Generated Node #2: [15, 19, 103] from Operation: 90+13=103
Current State: 69:[15, 19, 103], Operations: ['90+13=103']
Exploring Operation: 15+19=34, Resulting Numbers: [103, 34]
Generated Node #3: [103, 34] from Operation: 15+19=34
Current State: 69:[103, 34], Operations: ['90+13=103', '15+19=34']
Exploring Operation: 103-34=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
68,
94,
82,
49
] | 59 | [
"94-68=26",
"82-49=33",
"26+33=59"
] | Current State: 59:[68, 94, 82, 49], Operations: []
Exploring Operation: 94-68=26, Resulting Numbers: [82, 49, 26]
Generated Node #2: [82, 49, 26] from Operation: 94-68=26
Current State: 59:[82, 49, 26], Operations: ['94-68=26']
Exploring Operation: 82-49=33, Resulting Numbers: [26, 33]
Generated Node #3: [26, 33] from Operation: 82-49=33
Current State: 59:[26, 33], Operations: ['94-68=26', '82-49=33']
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
64,
5,
99,
39
] | 46 | [
"99-64=35",
"35/5=7",
"39+7=46"
] | Current State: 46:[64, 5, 99, 39], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [5, 39, 35]
Generated Node #2: [5, 39, 35] from Operation: 99-64=35
Current State: 46:[5, 39, 35], Operations: ['99-64=35']
Exploring Operation: 35/5=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 35/5=7
Current State: 46:[39, 7], Operations: ['99-64=35', '35/5=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
24,
7,
12,
14
] | 49 | [
"24/12=2",
"7*14=98",
"98/2=49"
] | Current State: 49:[24, 7, 12, 14], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [7, 14, 2]
Generated Node #2: [7, 14, 2] from Operation: 24/12=2
Current State: 49:[7, 14, 2], Operations: ['24/12=2']
Exploring Operation: 7*14=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 7*14=98
Current State: 49:[2, 98], Operations: ['24/12=2', '7*14=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
7,
5,
51,
25
] | 63 | [
"7+51=58",
"25/5=5",
"58+5=63"
] | Current State: 63:[7, 5, 51, 25], Operations: []
Exploring Operation: 7+51=58, Resulting Numbers: [5, 25, 58]
Generated Node #2: [5, 25, 58] from Operation: 7+51=58
Current State: 63:[5, 25, 58], Operations: ['7+51=58']
Exploring Operation: 25/5=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 25/5=5
Current State: 63:[58, 5], Operations: ['7+51=58', '25/5=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
48,
28,
43,
86
] | 23 | [
"48-28=20",
"86-43=43",
"43-20=23"
] | Current State: 23:[48, 28, 43, 86], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [43, 86, 20]
Generated Node #2: [43, 86, 20] from Operation: 48-28=20
Current State: 23:[43, 86, 20], Operations: ['48-28=20']
Exploring Operation: 86-43=43, Resulting Numbers: [20, 43]
Generated Node #3: [20, 43] from Operation: 86-43=43
Current State: 23:[20, 43], Operations: ['48-28=20', '86-43=43']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
42,
8,
21,
47
] | 65 | [
"47-42=5",
"21-8=13",
"5*13=65"
] | Current State: 65:[42, 8, 21, 47], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [8, 21, 5]
Generated Node #2: [8, 21, 5] from Operation: 47-42=5
Current State: 65:[8, 21, 5], Operations: ['47-42=5']
Exploring Operation: 21-8=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 21-8=13
Current State: 65:[5, 13], Operations: ['47-42=5', '21-8=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
26,
14,
44,
30
] | 33 | [
"26+14=40",
"44*30=1320",
"1320/40=33"
] | Current State: 33:[26, 14, 44, 30], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [44, 30, 40]
Generated Node #2: [44, 30, 40] from Operation: 26+14=40
Current State: 33:[44, 30, 40], Operations: ['26+14=40']
Exploring Operation: 44*30=1320, Resulting Numbers: [40, 1320]
Generated Node #3: [40, 1320] from Operation: 44*30=1320
Current State: 33:[40, 1320], Operations: ['26+14=40', '44*30=1320']
Exploring Operation: 1320/40=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
3,
98,
95,
13
] | 14 | [
"98-3=95",
"95/95=1",
"13+1=14"
] | Current State: 14:[3, 98, 95, 13], Operations: []
Exploring Operation: 98-3=95, Resulting Numbers: [95, 13, 95]
Generated Node #2: [95, 13, 95] from Operation: 98-3=95
Current State: 14:[95, 13, 95], Operations: ['98-3=95']
Exploring Operation: 95/95=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 95/95=1
Current State: 14:[13, 1], Operations: ['98-3=95', '95/95=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
29,
85,
87,
4
] | 85 | [
"87/29=3",
"4-3=1",
"85*1=85"
] | Current State: 85:[29, 85, 87, 4], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [85, 4, 3]
Generated Node #2: [85, 4, 3] from Operation: 87/29=3
Current State: 85:[85, 4, 3], Operations: ['87/29=3']
Exploring Operation: 4-3=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 4-3=1
Current State: 85:[85, 1], Operations: ['87/29=3', '4-3=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
22,
92,
33,
70
] | 13 | [
"33*70=2310",
"2310/22=105",
"105-92=13"
] | Current State: 13:[22, 92, 33, 70], Operations: []
Exploring Operation: 33*70=2310, Resulting Numbers: [22, 92, 2310]
Generated Node #2: [22, 92, 2310] from Operation: 33*70=2310
Current State: 13:[22, 92, 2310], Operations: ['33*70=2310']
Exploring Operation: 2310/22=105, Resulting Numbers: [92, 105]
Generated Node #3: [92, 105] from Operation: 2310/22=105
Current State: 13:[92, 105], Operations: ['33*70=2310', '2310/22=105']
Exploring Operation: 105-92=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
55,
19,
3
] | 80 | [
"55-50=5",
"19-3=16",
"5*16=80"
] | Current State: 80:[50, 55, 19, 3], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [19, 3, 5]
Generated Node #2: [19, 3, 5] from Operation: 55-50=5
Current State: 80:[19, 3, 5], Operations: ['55-50=5']
Exploring Operation: 19-3=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 19-3=16
Current State: 80:[5, 16], Operations: ['55-50=5', '19-3=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
7,
77,
87,
99
] | 67 | [
"99-77=22",
"7*22=154",
"154-87=67"
] | Current State: 67:[7, 77, 87, 99], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [7, 87, 22]
Generated Node #2: [7, 87, 22] from Operation: 99-77=22
Current State: 67:[7, 87, 22], Operations: ['99-77=22']
Exploring Operation: 7*22=154, Resulting Numbers: [87, 154]
Generated Node #3: [87, 154] from Operation: 7*22=154
Current State: 67:[87, 154], Operations: ['99-77=22', '7*22=154']
Exploring Operation: 154-87=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
56,
12,
77,
2
] | 43 | [
"56+12=68",
"68/2=34",
"77-34=43"
] | Current State: 43:[56, 12, 77, 2], Operations: []
Exploring Operation: 56+12=68, Resulting Numbers: [77, 2, 68]
Generated Node #2: [77, 2, 68] from Operation: 56+12=68
Current State: 43:[77, 2, 68], Operations: ['56+12=68']
Exploring Operation: 68/2=34, Resulting Numbers: [77, 34]
Generated Node #3: [77, 34] from Operation: 68/2=34
Current State: 43:[77, 34], Operations: ['56+12=68', '68/2=34']
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
99,
30,
47,
70
] | 48 | [
"99-30=69",
"47+70=117",
"117-69=48"
] | Current State: 48:[99, 30, 47, 70], Operations: []
Exploring Operation: 99-30=69, Resulting Numbers: [47, 70, 69]
Generated Node #2: [47, 70, 69] from Operation: 99-30=69
Current State: 48:[47, 70, 69], Operations: ['99-30=69']
Exploring Operation: 47+70=117, Resulting Numbers: [69, 117]
Generated Node #3: [69, 117] from Operation: 47+70=117
Current State: 48:[69, 117], Operations: ['99-30=69', '47+70=117']
Exploring Operation: 117-69=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
82,
95,
41,
71
] | 83 | [
"82/41=2",
"95+71=166",
"166/2=83"
] | Current State: 83:[82, 95, 41, 71], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [95, 71, 2]
Generated Node #2: [95, 71, 2] from Operation: 82/41=2
Current State: 83:[95, 71, 2], Operations: ['82/41=2']
Exploring Operation: 95+71=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 95+71=166
Current State: 83:[2, 166], Operations: ['82/41=2', '95+71=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
16,
88,
60,
15
] | 68 | [
"88-16=72",
"60/15=4",
"72-4=68"
] | Current State: 68:[16, 88, 60, 15], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [60, 15, 72]
Generated Node #2: [60, 15, 72] from Operation: 88-16=72
Current State: 68:[60, 15, 72], Operations: ['88-16=72']
Exploring Operation: 60/15=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 60/15=4
Current State: 68:[72, 4], Operations: ['88-16=72', '60/15=4']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
61,
80,
36,
6
] | 23 | [
"80-61=19",
"36+6=42",
"42-19=23"
] | Current State: 23:[61, 80, 36, 6], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [36, 6, 19]
Generated Node #2: [36, 6, 19] from Operation: 80-61=19
Current State: 23:[36, 6, 19], Operations: ['80-61=19']
Exploring Operation: 36+6=42, Resulting Numbers: [19, 42]
Generated Node #3: [19, 42] from Operation: 36+6=42
Current State: 23:[19, 42], Operations: ['80-61=19', '36+6=42']
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
28,
1,
3,
24
] | 97 | [
"24-1=23",
"3*23=69",
"28+69=97"
] | Current State: 97:[28, 1, 3, 24], Operations: []
Exploring Operation: 24-1=23, Resulting Numbers: [28, 3, 23]
Generated Node #2: [28, 3, 23] from Operation: 24-1=23
Current State: 97:[28, 3, 23], Operations: ['24-1=23']
Exploring Operation: 3*23=69, Resulting Numbers: [28, 69]
Generated Node #3: [28, 69] from Operation: 3*23=69
Current State: 97:[28, 69], Operations: ['24-1=23', '3*23=69']
Exploring Operation: 28+69=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
7,
71,
71,
32
] | 73 | [
"71-7=64",
"64/32=2",
"71+2=73"
] | Current State: 73:[7, 71, 71, 32], Operations: []
Exploring Operation: 71-7=64, Resulting Numbers: [32, 64]
Generated Node #2: [32, 64] from Operation: 71-7=64
Current State: 73:[32, 64], Operations: ['71-7=64']
Exploring Operation: 64/32=2, Resulting Numbers: [2]
2,73 equal: Goal Reached
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
47,
54,
61,
61
] | 59 | [
"47+61=108",
"108/54=2",
"61-2=59"
] | Current State: 59:[47, 54, 61, 61], Operations: []
Exploring Operation: 47+61=108, Resulting Numbers: [54, 108]
Generated Node #2: [54, 108] from Operation: 47+61=108
Current State: 59:[54, 108], Operations: ['47+61=108']
Exploring Operation: 108/54=2, Resulting Numbers: [2]
2,59 equal: Goal Reached
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
91,
70,
76,
5
] | 80 | [
"91+70=161",
"76+5=81",
"161-81=80"
] | Current State: 80:[91, 70, 76, 5], Operations: []
Exploring Operation: 91+70=161, Resulting Numbers: [76, 5, 161]
Generated Node #2: [76, 5, 161] from Operation: 91+70=161
Current State: 80:[76, 5, 161], Operations: ['91+70=161']
Exploring Operation: 76+5=81, Resulting Numbers: [161, 81]
Generated Node #3: [161, 81] from Operation: 76+5=81
Current State: 80:[161, 81], Operations: ['91+70=161', '76+5=81']
Exploring Operation: 161-81=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
58,
88,
45,
55
] | 11 | [
"58-45=13",
"88+55=143",
"143/13=11"
] | Current State: 11:[58, 88, 45, 55], Operations: []
Exploring Operation: 58-45=13, Resulting Numbers: [88, 55, 13]
Generated Node #2: [88, 55, 13] from Operation: 58-45=13
Current State: 11:[88, 55, 13], Operations: ['58-45=13']
Exploring Operation: 88+55=143, Resulting Numbers: [13, 143]
Generated Node #3: [13, 143] from Operation: 88+55=143
Current State: 11:[13, 143], Operations: ['58-45=13', '88+55=143']
Exploring Operation: 143/13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
71,
44,
64,
27
] | 75 | [
"44+64=108",
"108/27=4",
"71+4=75"
] | Current State: 75:[71, 44, 64, 27], Operations: []
Exploring Operation: 44+64=108, Resulting Numbers: [71, 27, 108]
Generated Node #2: [71, 27, 108] from Operation: 44+64=108
Current State: 75:[71, 27, 108], Operations: ['44+64=108']
Exploring Operation: 108/27=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 108/27=4
Current State: 75:[71, 4], Operations: ['44+64=108', '108/27=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
60,
55,
98
] | 49 | [
"60-7=53",
"55-53=2",
"98/2=49"
] | Current State: 49:[7, 60, 55, 98], Operations: []
Exploring Operation: 60-7=53, Resulting Numbers: [55, 98, 53]
Generated Node #2: [55, 98, 53] from Operation: 60-7=53
Current State: 49:[55, 98, 53], Operations: ['60-7=53']
Exploring Operation: 55-53=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 55-53=2
Current State: 49:[98, 2], Operations: ['60-7=53', '55-53=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
31,
17,
2,
27
] | 81 | [
"17*2=34",
"34-31=3",
"27*3=81"
] | Current State: 81:[31, 17, 2, 27], Operations: []
Exploring Operation: 17*2=34, Resulting Numbers: [31, 27, 34]
Generated Node #2: [31, 27, 34] from Operation: 17*2=34
Current State: 81:[31, 27, 34], Operations: ['17*2=34']
Exploring Operation: 34-31=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 34-31=3
Current State: 81:[27, 3], Operations: ['17*2=34', '34-31=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
96,
85,
90,
2
] | 89 | [
"96+85=181",
"90+2=92",
"181-92=89"
] | Current State: 89:[96, 85, 90, 2], Operations: []
Exploring Operation: 96+85=181, Resulting Numbers: [90, 2, 181]
Generated Node #2: [90, 2, 181] from Operation: 96+85=181
Current State: 89:[90, 2, 181], Operations: ['96+85=181']
Exploring Operation: 90+2=92, Resulting Numbers: [181, 92]
Generated Node #3: [181, 92] from Operation: 90+2=92
Current State: 89:[181, 92], Operations: ['96+85=181', '90+2=92']
Exploring Operation: 181-92=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
43,
14,
86,
41
] | 57 | [
"86/43=2",
"14+41=55",
"2+55=57"
] | Current State: 57:[43, 14, 86, 41], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [14, 41, 2]
Generated Node #2: [14, 41, 2] from Operation: 86/43=2
Current State: 57:[14, 41, 2], Operations: ['86/43=2']
Exploring Operation: 14+41=55, Resulting Numbers: [2, 55]
Generated Node #3: [2, 55] from Operation: 14+41=55
Current State: 57:[2, 55], Operations: ['86/43=2', '14+41=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
24,
60,
13,
39
] | 65 | [
"39-13=26",
"60*26=1560",
"1560/24=65"
] | Current State: 65:[24, 60, 13, 39], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [24, 60, 26]
Generated Node #2: [24, 60, 26] from Operation: 39-13=26
Current State: 65:[24, 60, 26], Operations: ['39-13=26']
Exploring Operation: 60*26=1560, Resulting Numbers: [24, 1560]
Generated Node #3: [24, 1560] from Operation: 60*26=1560
Current State: 65:[24, 1560], Operations: ['39-13=26', '60*26=1560']
Exploring Operation: 1560/24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
88,
76,
25,
54
] | 41 | [
"88-76=12",
"54-25=29",
"12+29=41"
] | Current State: 41:[88, 76, 25, 54], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [25, 54, 12]
Generated Node #2: [25, 54, 12] from Operation: 88-76=12
Current State: 41:[25, 54, 12], Operations: ['88-76=12']
Exploring Operation: 54-25=29, Resulting Numbers: [12, 29]
Generated Node #3: [12, 29] from Operation: 54-25=29
Current State: 41:[12, 29], Operations: ['88-76=12', '54-25=29']
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
34,
72,
1,
82
] | 25 | [
"34+72=106",
"82-1=81",
"106-81=25"
] | Current State: 25:[34, 72, 1, 82], Operations: []
Exploring Operation: 34+72=106, Resulting Numbers: [1, 82, 106]
Generated Node #2: [1, 82, 106] from Operation: 34+72=106
Current State: 25:[1, 82, 106], Operations: ['34+72=106']
Exploring Operation: 82-1=81, Resulting Numbers: [106, 81]
Generated Node #3: [106, 81] from Operation: 82-1=81
Current State: 25:[106, 81], Operations: ['34+72=106', '82-1=81']
Exploring Operation: 106-81=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
1,
86,
5,
64
] | 28 | [
"1+86=87",
"64-5=59",
"87-59=28"
] | Current State: 28:[1, 86, 5, 64], Operations: []
Exploring Operation: 1+86=87, Resulting Numbers: [5, 64, 87]
Generated Node #2: [5, 64, 87] from Operation: 1+86=87
Current State: 28:[5, 64, 87], Operations: ['1+86=87']
Exploring Operation: 64-5=59, Resulting Numbers: [87, 59]
Generated Node #3: [87, 59] from Operation: 64-5=59
Current State: 28:[87, 59], Operations: ['1+86=87', '64-5=59']
Exploring Operation: 87-59=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
17,
20,
21,
5
] | 48 | [
"20-17=3",
"21-5=16",
"3*16=48"
] | Current State: 48:[17, 20, 21, 5], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [21, 5, 3]
Generated Node #2: [21, 5, 3] from Operation: 20-17=3
Current State: 48:[21, 5, 3], Operations: ['20-17=3']
Exploring Operation: 21-5=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 21-5=16
Current State: 48:[3, 16], Operations: ['20-17=3', '21-5=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
28,
18,
59
] | 47 | [
"2+28=30",
"18+59=77",
"77-30=47"
] | Current State: 47:[2, 28, 18, 59], Operations: []
Exploring Operation: 2+28=30, Resulting Numbers: [18, 59, 30]
Generated Node #2: [18, 59, 30] from Operation: 2+28=30
Current State: 47:[18, 59, 30], Operations: ['2+28=30']
Exploring Operation: 18+59=77, Resulting Numbers: [30, 77]
Generated Node #3: [30, 77] from Operation: 18+59=77
Current State: 47:[30, 77], Operations: ['2+28=30', '18+59=77']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
83,
58,
65,
66
] | 10 | [
"83+58=141",
"65+66=131",
"141-131=10"
] | Current State: 10:[83, 58, 65, 66], Operations: []
Exploring Operation: 83+58=141, Resulting Numbers: [65, 66, 141]
Generated Node #2: [65, 66, 141] from Operation: 83+58=141
Current State: 10:[65, 66, 141], Operations: ['83+58=141']
Exploring Operation: 65+66=131, Resulting Numbers: [141, 131]
Generated Node #3: [141, 131] from Operation: 65+66=131
Current State: 10:[141, 131], Operations: ['83+58=141', '65+66=131']
Exploring Operation: 141-131=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
21,
5,
54,
73
] | 88 | [
"21+54=75",
"75/5=15",
"73+15=88"
] | Current State: 88:[21, 5, 54, 73], Operations: []
Exploring Operation: 21+54=75, Resulting Numbers: [5, 73, 75]
Generated Node #2: [5, 73, 75] from Operation: 21+54=75
Current State: 88:[5, 73, 75], Operations: ['21+54=75']
Exploring Operation: 75/5=15, Resulting Numbers: [73, 15]
Generated Node #3: [73, 15] from Operation: 75/5=15
Current State: 88:[73, 15], Operations: ['21+54=75', '75/5=15']
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
33,
8,
73,
46
] | 41 | [
"73-33=40",
"40/8=5",
"46-5=41"
] | Current State: 41:[33, 8, 73, 46], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [8, 46, 40]
Generated Node #2: [8, 46, 40] from Operation: 73-33=40
Current State: 41:[8, 46, 40], Operations: ['73-33=40']
Exploring Operation: 40/8=5, Resulting Numbers: [46, 5]
Generated Node #3: [46, 5] from Operation: 40/8=5
Current State: 41:[46, 5], Operations: ['73-33=40', '40/8=5']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
91,
87,
59,
37
] | 56 | [
"87*59=5133",
"5133-37=5096",
"5096/91=56"
] | Current State: 56:[91, 87, 59, 37], Operations: []
Exploring Operation: 87*59=5133, Resulting Numbers: [91, 37, 5133]
Generated Node #2: [91, 37, 5133] from Operation: 87*59=5133
Current State: 56:[91, 37, 5133], Operations: ['87*59=5133']
Exploring Operation: 5133-37=5096, Resulting Numbers: [91, 5096]
Generated Node #3: [91, 5096] from Operation: 5133-37=5096
Current State: 56:[91, 5096], Operations: ['87*59=5133', '5133-37=5096']
Exploring Operation: 5096/91=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
75,
92,
53,
5
] | 46 | [
"92+53=145",
"145/5=29",
"75-29=46"
] | Current State: 46:[75, 92, 53, 5], Operations: []
Exploring Operation: 92+53=145, Resulting Numbers: [75, 5, 145]
Generated Node #2: [75, 5, 145] from Operation: 92+53=145
Current State: 46:[75, 5, 145], Operations: ['92+53=145']
Exploring Operation: 145/5=29, Resulting Numbers: [75, 29]
Generated Node #3: [75, 29] from Operation: 145/5=29
Current State: 46:[75, 29], Operations: ['92+53=145', '145/5=29']
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
79,
4,
67,
58
] | 51 | [
"79+67=146",
"58+146=204",
"204/4=51"
] | Current State: 51:[79, 4, 67, 58], Operations: []
Exploring Operation: 79+67=146, Resulting Numbers: [4, 58, 146]
Generated Node #2: [4, 58, 146] from Operation: 79+67=146
Current State: 51:[4, 58, 146], Operations: ['79+67=146']
Exploring Operation: 58+146=204, Resulting Numbers: [4, 204]
Generated Node #3: [4, 204] from Operation: 58+146=204
Current State: 51:[4, 204], Operations: ['79+67=146', '58+146=204']
Exploring Operation: 204/4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
68,
83,
78,
47
] | 13 | [
"78-68=10",
"83+47=130",
"130/10=13"
] | Current State: 13:[68, 83, 78, 47], Operations: []
Exploring Operation: 78-68=10, Resulting Numbers: [83, 47, 10]
Generated Node #2: [83, 47, 10] from Operation: 78-68=10
Current State: 13:[83, 47, 10], Operations: ['78-68=10']
Exploring Operation: 83+47=130, Resulting Numbers: [10, 130]
Generated Node #3: [10, 130] from Operation: 83+47=130
Current State: 13:[10, 130], Operations: ['78-68=10', '83+47=130']
Exploring Operation: 130/10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
94,
89,
14,
91
] | 61 | [
"91-89=2",
"94/2=47",
"14+47=61"
] | Current State: 61:[94, 89, 14, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [94, 14, 2]
Generated Node #2: [94, 14, 2] from Operation: 91-89=2
Current State: 61:[94, 14, 2], Operations: ['91-89=2']
Exploring Operation: 94/2=47, Resulting Numbers: [14, 47]
Generated Node #3: [14, 47] from Operation: 94/2=47
Current State: 61:[14, 47], Operations: ['91-89=2', '94/2=47']
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
73,
82,
58,
24
] | 73 | [
"73+82=155",
"58+24=82",
"155-82=73"
] | Current State: 73:[73, 82, 58, 24], Operations: []
Exploring Operation: 73+82=155, Resulting Numbers: [58, 24, 155]
Generated Node #2: [58, 24, 155] from Operation: 73+82=155
Current State: 73:[58, 24, 155], Operations: ['73+82=155']
Exploring Operation: 58+24=82, Resulting Numbers: [155, 82]
Generated Node #3: [155, 82] from Operation: 58+24=82
Current State: 73:[155, 82], Operations: ['73+82=155', '58+24=82']
Exploring Operation: 155-82=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
73,
22,
37,
56
] | 70 | [
"73-22=51",
"56-37=19",
"51+19=70"
] | Current State: 70:[73, 22, 37, 56], Operations: []
Exploring Operation: 73-22=51, Resulting Numbers: [37, 56, 51]
Generated Node #2: [37, 56, 51] from Operation: 73-22=51
Current State: 70:[37, 56, 51], Operations: ['73-22=51']
Exploring Operation: 56-37=19, Resulting Numbers: [51, 19]
Generated Node #3: [51, 19] from Operation: 56-37=19
Current State: 70:[51, 19], Operations: ['73-22=51', '56-37=19']
Exploring Operation: 51+19=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
14,
5,
23,
56
] | 70 | [
"14-5=9",
"23+56=79",
"79-9=70"
] | Current State: 70:[14, 5, 23, 56], Operations: []
Exploring Operation: 14-5=9, Resulting Numbers: [23, 56, 9]
Generated Node #2: [23, 56, 9] from Operation: 14-5=9
Current State: 70:[23, 56, 9], Operations: ['14-5=9']
Exploring Operation: 23+56=79, Resulting Numbers: [9, 79]
Generated Node #3: [9, 79] from Operation: 23+56=79
Current State: 70:[9, 79], Operations: ['14-5=9', '23+56=79']
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
17,
52,
56,
53
] | 23 | [
"17+52=69",
"56-53=3",
"69/3=23"
] | Current State: 23:[17, 52, 56, 53], Operations: []
Exploring Operation: 17+52=69, Resulting Numbers: [56, 53, 69]
Generated Node #2: [56, 53, 69] from Operation: 17+52=69
Current State: 23:[56, 53, 69], Operations: ['17+52=69']
Exploring Operation: 56-53=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 56-53=3
Current State: 23:[69, 3], Operations: ['17+52=69', '56-53=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
47,
25,
45,
9
] | 36 | [
"47+25=72",
"45-9=36",
"72-36=36"
] | Current State: 36:[47, 25, 45, 9], Operations: []
Exploring Operation: 47+25=72, Resulting Numbers: [45, 9, 72]
Generated Node #2: [45, 9, 72] from Operation: 47+25=72
Current State: 36:[45, 9, 72], Operations: ['47+25=72']
Exploring Operation: 45-9=36, Resulting Numbers: [72, 36]
Generated Node #3: [72, 36] from Operation: 45-9=36
Current State: 36:[72, 36], Operations: ['47+25=72', '45-9=36']
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
40,
39,
31,
18
] | 49 | [
"40-39=1",
"31+18=49",
"1*49=49"
] | Current State: 49:[40, 39, 31, 18], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [31, 18, 1]
Generated Node #2: [31, 18, 1] from Operation: 40-39=1
Current State: 49:[31, 18, 1], Operations: ['40-39=1']
Exploring Operation: 31+18=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 31+18=49
Current State: 49:[1, 49], Operations: ['40-39=1', '31+18=49']
Exploring Operation: 1*49=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
41,
86,
16,
36
] | 25 | [
"86-41=45",
"36-16=20",
"45-20=25"
] | Current State: 25:[41, 86, 16, 36], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [16, 36, 45]
Generated Node #2: [16, 36, 45] from Operation: 86-41=45
Current State: 25:[16, 36, 45], Operations: ['86-41=45']
Exploring Operation: 36-16=20, Resulting Numbers: [45, 20]
Generated Node #3: [45, 20] from Operation: 36-16=20
Current State: 25:[45, 20], Operations: ['86-41=45', '36-16=20']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
29,
75,
10,
70
] | 24 | [
"29+75=104",
"10+70=80",
"104-80=24"
] | Current State: 24:[29, 75, 10, 70], Operations: []
Exploring Operation: 29+75=104, Resulting Numbers: [10, 70, 104]
Generated Node #2: [10, 70, 104] from Operation: 29+75=104
Current State: 24:[10, 70, 104], Operations: ['29+75=104']
Exploring Operation: 10+70=80, Resulting Numbers: [104, 80]
Generated Node #3: [104, 80] from Operation: 10+70=80
Current State: 24:[104, 80], Operations: ['29+75=104', '10+70=80']
Exploring Operation: 104-80=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
15,
18,
72,
55
] | 50 | [
"15+18=33",
"72-55=17",
"33+17=50"
] | Current State: 50:[15, 18, 72, 55], Operations: []
Exploring Operation: 15+18=33, Resulting Numbers: [72, 55, 33]
Generated Node #2: [72, 55, 33] from Operation: 15+18=33
Current State: 50:[72, 55, 33], Operations: ['15+18=33']
Exploring Operation: 72-55=17, Resulting Numbers: [33, 17]
Generated Node #3: [33, 17] from Operation: 72-55=17
Current State: 50:[33, 17], Operations: ['15+18=33', '72-55=17']
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
31,
87,
17,
89
] | 28 | [
"31-17=14",
"89-87=2",
"14*2=28"
] | Current State: 28:[31, 87, 17, 89], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [87, 89, 14]
Generated Node #2: [87, 89, 14] from Operation: 31-17=14
Current State: 28:[87, 89, 14], Operations: ['31-17=14']
Exploring Operation: 89-87=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 89-87=2
Current State: 28:[14, 2], Operations: ['31-17=14', '89-87=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
8,
47,
3,
22
] | 64 | [
"47-8=39",
"3+22=25",
"39+25=64"
] | Current State: 64:[8, 47, 3, 22], Operations: []
Exploring Operation: 47-8=39, Resulting Numbers: [3, 22, 39]
Generated Node #2: [3, 22, 39] from Operation: 47-8=39
Current State: 64:[3, 22, 39], Operations: ['47-8=39']
Exploring Operation: 3+22=25, Resulting Numbers: [39, 25]
Generated Node #3: [39, 25] from Operation: 3+22=25
Current State: 64:[39, 25], Operations: ['47-8=39', '3+22=25']
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
92,
87,
93,
52
] | 29 | [
"92-87=5",
"93+52=145",
"145/5=29"
] | Current State: 29:[92, 87, 93, 52], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [93, 52, 5]
Generated Node #2: [93, 52, 5] from Operation: 92-87=5
Current State: 29:[93, 52, 5], Operations: ['92-87=5']
Exploring Operation: 93+52=145, Resulting Numbers: [5, 145]
Generated Node #3: [5, 145] from Operation: 93+52=145
Current State: 29:[5, 145], Operations: ['92-87=5', '93+52=145']
Exploring Operation: 145/5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
43,
63,
77,
81
] | 24 | [
"63-43=20",
"81-77=4",
"20+4=24"
] | Current State: 24:[43, 63, 77, 81], Operations: []
Exploring Operation: 63-43=20, Resulting Numbers: [77, 81, 20]
Generated Node #2: [77, 81, 20] from Operation: 63-43=20
Current State: 24:[77, 81, 20], Operations: ['63-43=20']
Exploring Operation: 81-77=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 81-77=4
Current State: 24:[20, 4], Operations: ['63-43=20', '81-77=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
69,
85,
88,
18
] | 84 | [
"69+85=154",
"88-18=70",
"154-70=84"
] | Current State: 84:[69, 85, 88, 18], Operations: []
Exploring Operation: 69+85=154, Resulting Numbers: [88, 18, 154]
Generated Node #2: [88, 18, 154] from Operation: 69+85=154
Current State: 84:[88, 18, 154], Operations: ['69+85=154']
Exploring Operation: 88-18=70, Resulting Numbers: [154, 70]
Generated Node #3: [154, 70] from Operation: 88-18=70
Current State: 84:[154, 70], Operations: ['69+85=154', '88-18=70']
Exploring Operation: 154-70=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
62,
10,
2,
44
] | 45 | [
"44-10=34",
"34/2=17",
"62-17=45"
] | Current State: 45:[62, 10, 2, 44], Operations: []
Exploring Operation: 44-10=34, Resulting Numbers: [62, 2, 34]
Generated Node #2: [62, 2, 34] from Operation: 44-10=34
Current State: 45:[62, 2, 34], Operations: ['44-10=34']
Exploring Operation: 34/2=17, Resulting Numbers: [62, 17]
Generated Node #3: [62, 17] from Operation: 34/2=17
Current State: 45:[62, 17], Operations: ['44-10=34', '34/2=17']
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
54,
41,
93,
80
] | 82 | [
"54+41=95",
"93-80=13",
"95-13=82"
] | Current State: 82:[54, 41, 93, 80], Operations: []
Exploring Operation: 54+41=95, Resulting Numbers: [93, 80, 95]
Generated Node #2: [93, 80, 95] from Operation: 54+41=95
Current State: 82:[93, 80, 95], Operations: ['54+41=95']
Exploring Operation: 93-80=13, Resulting Numbers: [95, 13]
Generated Node #3: [95, 13] from Operation: 93-80=13
Current State: 82:[95, 13], Operations: ['54+41=95', '93-80=13']
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
62,
3,
10,
49
] | 91 | [
"62-49=13",
"10-3=7",
"13*7=91"
] | Current State: 91:[62, 3, 10, 49], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [3, 10, 13]
Generated Node #2: [3, 10, 13] from Operation: 62-49=13
Current State: 91:[3, 10, 13], Operations: ['62-49=13']
Exploring Operation: 10-3=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 10-3=7
Current State: 91:[13, 7], Operations: ['62-49=13', '10-3=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
4,
3,
48,
26
] | 15 | [
"4+3=7",
"48-26=22",
"22-7=15"
] | Current State: 15:[4, 3, 48, 26], Operations: []
Exploring Operation: 4+3=7, Resulting Numbers: [48, 26, 7]
Generated Node #2: [48, 26, 7] from Operation: 4+3=7
Current State: 15:[48, 26, 7], Operations: ['4+3=7']
Exploring Operation: 48-26=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 48-26=22
Current State: 15:[7, 22], Operations: ['4+3=7', '48-26=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
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