Q(n) Rep Sequence no. 7
Casey Mongoven
May 17, 2005
description of sequence: number of unique
representations of n using sums of distinct elements of the Lucas sequence
beginning 1,3,4,7,11,…
number of members in sequence used: 9349
orientation: descending
temperament: φ7
+ 1
highest pitch: 929 Hertz
lowest pitch: 92.8970686609
Hertz
length: 402.007 seconds
note value: .043 seconds
waveform: saw 0° →
square 0°
simulated spatial location: 26° →
-26°
dynamic value: mf →
fff
starting attack: .005 seconds
attack roll-off: .00003 seconds
starting release: .008 seconds
release roll-off: .000048 seconds
values used:
# pitch in Hertz
waveform s.s.l. dynamic attack release
0 929.0000000000
saw 0° 26° mf
.005000 .008000
1
898.0688442115
.004970 .007952
2
868.1675446107 m
¦ c
.004940 .007904
3
839.2618120241 o
¦ r
.004910 .007856
4
811.3184989401 r
¦ e
.004880 .007808
5
784.3055614968 p
¦ s
.004850 .007760
6
758.1920227363 h
¦ c
.004820 .007712
7 732.9479370820
¦ e
.004790 .007664
8
708.5443559982
¦
¦ n
.004760 .007616
9
684.9532947943 ¦
¦ d
.004730 .007568
10
662.1477005326 ¦
¦ o
.004700 .007520
11
640.1014210060 ¦
¦
.004670 .007472
12
618.7891747481 ¦
¦
¦ .004640 .007424
13
598.1865220415 ¦
¦
¦ .004610 .007376
14
578.2698368920 ¦
¦
¦ .004580 .007328
15
559.0162799354 ¦
¦
¦ .004550 .007280
16
540.4037722465 ¦
¦
¦ .004520 .007232
17
522.4109700203 ¦
¦
¦ .004490 .007184
18
505.0172400964 ¦
¦
¦ .004460 .007136
19 488.2026362974
¦
¦ ¦
.004430 .007088
20
471.9478765560 ¦
¦
¦ .004400 .007040
21
456.2343208038 ¦
¦
¦ .004370 .006992
22
441.0439495951 ¦
¦
¦ .004340 .006944
23 426.3593434439
¦
¦ ¦
.004310 .006896
24
412.1636628476 ¦
¦
¦ .004280 .006848
25
398.4406289768 ¦
¦
¦ .004250 .006800
26
385.1745050077 ¦
¦
¦ .004220 .006752
27
372.3500780753 ¦
¦
¦ .004190 .006704
28
359.9526418290 ¦
¦
¦ .004160 .006656
29
347.9679795675 ¦
¦
¦ .004130 .006608
30
336.3823479363 ¦
¦
¦ .004100 .006560
31
325.1824611671 ¦
¦
¦ .004070 .006512
32
314.3554758431 ¦
¦
¦ .004040 .006464
33
303.8889761700 ¦
¦
¦ .004010 .006416
34
293.7709597391 ¦
¦
¦ .003980 .006368
35
283.9898237629 ¦
¦
¦ .003950 .006320
36
274.5343517703 ¦
¦
¦ .003920 .006272
37
265.3937007435 ¦
¦
¦ .003890 .006224
38 256.5573886843
¦
¦ ¦
.003860 .006176
39
248.0152825938 ¦
¦
¦ .003830 .006128
40
239.7575868523 ¦
¦
¦ .003800 .006080
41
231.7748319864 ¦
¦
¦ .003770 .006032
42
224.0578638098 ¦
¦
¦ .003740 .005984
43
216.5978329259 ¦
¦
¦ .003710 .005936
44
209.3861845796 ¦
¦
¦ .003680 .005888
45
202.4146488474 ¦
¦ ¦
.003650 .005840
46
195.6752311538 ¦
¦
¦ .003620 .005792
47
189.1602031035 ¦
¦
¦ .003590 .005744
48
182.8620936189 ¦
¦
¦ .003560 .005696
49
176.7736803729 ¦
¦
¦ .003530 .005648
50
170.8879815064 ¦
¦
¦ .003500 .005600
51
165.1982476223 ¦
¦
¦ .003470 .005552
52
159.6979540451 ¦
¦
¦ .003440 .005504
53
154.3807933393 ¦
¦ ¦
.003410 .005456
54
149.2406680761 ¦
¦
¦ .003380 .005408
55
144.2716838412 ¦
¦
¦ .003350 .005360
56
139.4681424754 ¦
¦
¦ .003320 .005312
57 134.8245355406
¦
¦ ¦
.003290 .005264
58
130.3355380025 ¦
¦
¦ .003260 .005216
59
125.9960021244
¦
¦ ¦
.003230 .005168
60
121.8009515642 ¦
¦
¦ .003200 .005120
61
117.7455756675
¦
¦ ¦
.003170 .005072
62
113.8252239513 ¦
¦
¦ .003140 .005024
63
110.0354007707 ¦
¦
¦ .003110 .004976
64
106.3717601642 ¦
¦
¦ .003080 .004928
65
102.8301008691 ¦
¦
¦ .003050 .004880
66
99.4063615045
¦
¦ ¦
.003020 .004832
67
96.0966159134 .002990 .004784
68 92.8970686609
square 0° -26° fff .002960
.004736
sequence values:
1 0 1 2 1 0 2 2 0 1 3 2 0 2 3 1 0 3 3 0 2 4 2 0 3 3 0
1 4 3 0 3 5 2 0 4 4 0 2 5 3 0 3 4 1 0 4 4 0 3 6 3 0 5 5 0 2 6 4 0 4 6 2 0 5 5 0
3 6 3 0 4 4 0 1 5 4 0 4 7 3 0 6 6 0 3 8 5 0 5 7 2 0 6 6 0 4 8 4 0 6 6 0 2 7 5 0
5 8 3 0 6 6 0 3 7 4 0 4 5 1 0 5 5 0 4 8 4 0 7 7 0 3 9 6 0 6 9 3 0 8 8 0 5 10 5
0 7 7 0 2 8 6 0 6 10 4 0 8 8 0 4 10 6 0 6 8 2 0 7 7 0 5 10 5 0 8 8 0 3 9 6 0 6
9 3 0 7 7 0 4 8 4 0 5 5 0 1 6 5 0 5 9 4 0 8 8 0 4 11 7 0 7 10 3 0 9 9 0 6 12 6
0 9 9 0 3 11 8 0 8 13 5 0 10 10 0 5 12 7 0 7 9 2 0 8 8 0 6 12 6 0 10 10 0 4 12
8 0 8 12 4 0 10 10 0 6 12 6 0 8 8 0 2 9 7 0 7 12 5 0 10 10 0 5 13 8 0 8 11 3 0
9 9 0 6 12 6 0 9 9 0 3 10 7 0 7 11 4 0 8 8 0 4 9 5 0 5 6 1 0 6 6 0 5 10 5 0 9 9
0 4 12 8 0 8 12 4 0 11 11 0 7 14 7 0 10 10 0 3 12 9 0 9 15 6 0 12 12 0 6 15 9 0
9 12 3 0 11 11 0 8 16 8 0 13 13 0 5 15 10 0 10 15 5 0 12 12 0 7 14 7 0 9 9 0 2
10 8 0 8 14 6 0 12 12 0 6 16 10 0 10 14 4 0 12 12 0 8 16 8 0 12 12 0 4 14 10 0
10 16 6 0 12 12 0 6 14 8 0 8 10 2 0 9 9 0 7 14 7 0 12 12 0 5 15 10 0 10 15 5 0
13 13 0 8 16 8 0 11 11 0 3 12 9 0 9 15 6 0 12 12 0 6 15 9 0 9 12 3 0 10 10 0 7
14 7 0 11 11 0 4 12 8 0 8 12 4 0 9 9 0 5 10 5 0 6 6 0 1 7 6 0 6 11 5 0 10 10 0
5 14 9 0 9 13 4 0 12 12 0 8 16 8 0 12 12 0 4 15 11 0 11 18 7 0 14 14 0 7 17 10
0 10 13 3 0 12 12 0 9 18 9 0 15 15 0 6 18 12 0 12 18 6 0 15 15 0 9 18 9 0 12 12
0 3 14 11 0 11 19 8 0 16 16 0 8 21 13 0 13 18 5 0 15 15 0 10 20 10 0 15 15 0 5
17 12 0 12 19 7 0 14 14 0 7 16 9 0 9 11 2 0 10 10 0 8 16 8 0 14 14 0 6 18 12 0
12 18 6 0 16 16 0 10 20 10 0 14 14 0 4 16 12 0 12 20 8 0 16 16 0 8 20 12 0 12
16 4 0 14 14 0 10 20 10 0 16 16 0 6 18 12 0 12 18 6 0 14 14 0 8 16 8 0 10 10 0
2 11 9 0 9 16 7 0 14 14 0 7 19 12 0 12 17 5 0 15 15 0 10 20 10 0 15 15 0 5 18
13 0 13 21 8 0 16 16 0 8 19 11 0 11 14 3 0 12 12 0 9 18 9 0 15 15 0 6 18 12 0
12 18 6 0 15 15 0 9 18 9 0 12 12 0 3 13 10 0 10 17 7 0 14 14 0 7 18 11 0 11 15
4 0 12 12 0 8 16 8 0 12 12 0 4 13 9 0 9 14 5 0 10 10 0 5 11 6 0 6 7 1 0 7 7 0 6
12 6 0 11 11 0 5 15 10 0 10 15 5 0 14 14 0 9 18 9 0 13 13 0 4 16 12 0 12 20 8 0
16 16 0 8 20 12 0 12 16 4 0 15 15 0 11 22 11 0 18 18 0 7 21 14 0 14 21 7 0 17
17 0 10 20 10 0 13 13 0 3 15 12 0 12 21 9 0 18 18 0 9 24 15 0 15 21 6 0 18 18 0
12 24 12 0 18 18 0 6 21 15 0 15 24 9 0 18 18 0 9 21 12 0 12 15 3 0 14 14 0 11
22 11 0 19 19 0 8 24 16 0 16 24 8 0 21 21 0 13 26 13 0 18 18 0 5 20 15 0 15 25
10 0 20 20 0 10 25 15 0 15 20 5 0 17 17 0 12 24 12 0 19 19 0 7 21 14 0 14 21 7
0 16 16 0 9 18 9 0 11 11 0 2 12 10 0 10 18 8 0 16 16 0 8 22 14 0 14 20 6 0 18
18 0 12 24 12 0 18 18 0 6 22 16 0 16 26 10 0 20 20 0 10 24 14 0 14 18 4 0 16 16
0 12 24 12 0 20 20 0 8 24 16 0 16 24 8 0 20 20 0 12 24 12 0 16 16 0 4 18 14 0
14 24 10 0 20 20 0 10 26 16 0 16 22 6 0 18 18 0 12 24 12 0 18 18 0 6 20 14 0 14
22 8 0 16 16 0 8 18 10 0 10 12 2 0 11 11 0 9 18 9 0 16 16 0 7 21 14 0 14 21 7 0
19 19 0 12 24 12 0 17 17 0 5 20 15 0 15 25 10 0 20 20 0 10 25 15 0 15 20 5 0 18
18 0 13 26 13 0 21 21 0 8 24 16 0 16 24 8 0 19 19 0 11 22 11 0 14 14 0 3 15 12
0 12 21 9 0 18 18 0 9 24 15 0 15 21 6 0 18 18 0 12 24 12 0 18 18 0 6 21 15 0 15
24 9 0 18 18 0 9 21 12 0 12 15 3 0 13 13 0 10 20 10 0 17 17 0 7 21 14 0 14 21 7
0 18 18 0 11 22 11 0 15 15 0 4 16 12 0 12 20 8 0 16 16 0 8 20 12 0 12 16 4 0 13
13 0 9 18 9 0 14 14 0 5 15 10 0 10 15 5 0 11 11 0 6 12 6 0 7 7 0 1 8 7 0 7 13 6
0 12 12 0 6 17 11 0 11 16 5 0 15 15 0 10 20 10 0 15 15 0 5 19 14 0 14 23 9 0 18
18 0 9 22 13 0 13 17 4 0 16 16 0 12 24 12 0 20 20 0 8 24 16 0 16 24 8 0 20 20 0
12 24 12 0 16 16 0 4 19 15 0 15 26 11 0 22 22 0 11 29 18 0 18 25 7 0 21 21 0 14
28 14 0 21 21 0 7 24 17 0 17 27 10 0 20 20 0 10 23 13 0 13 16 3 0 15 15 0 12 24
12 0 21 21 0 9 27 18 0 18 27 9 0 24 24 0 15 30 15 0 21 21 0 6 24 18 0 18 30 12
0 24 24 0 12 30 18 0 18 24 6 0 21 21 0 15 30 15 0 24 24 0 9 27 18 0 18 27 9 0
21 21 0 12 24 12 0 15 15 0 3 17 14 0 14 25 11 0 22 22 0 11 30 19 0 19 27 8 0 24
24 0 16 32 16 0 24 24 0 8 29 21 0 21 34 13 0 26 26 0 13 31 18 0 18 23 5 0 20 20
0 15 30 15 0 25 25 0 10 30 20 0 20 30 10 0 25 25 0 15 30 15 0 20 20 0 5 22 17 0
17 29 12 0 24 24 0 12 31 19 0 19 26 7 0 21 21 0 14 28 14 0 21 21 0 7 23 16 0 16
25 9 0 18 18 0 9 20 11 0 11 13 2 0 12 12 0 10 20 10 0 18 18 0 8 24 16 0 16 24 8
0 22 22 0 14 28 14 0 20 20 0 6 24 18 0 18 30 12 0 24 24 0 12 30 18 0 18 24 6 0
22 22 0 16 32 16 0 26 26 0 10 30 20 0 20 30 10 0 24 24 0 14 28 14 0 18 18 0 4
20 16 0 16 28 12 0 24 24 0 12 32 20 0 20 28 8 0 24 24 0 16 32 16 0 24 24 0 8 28
20 0 20 32 12 0 24 24 0 12 28 16 0 16 20 4 0 18 18 0 14 28 14 0 24 24 0 10 30
20 0 20 30 10 0 26 26 0 16 32 16 0 22 22 0 6 24 18 0 18 30 12 0 24 24 0 12 30
18 0 18 24 6 0 20 20 0 14 28 14 0 22 22 0 8 24 16 0 16 24 8 0 18 18 0 10 20 10
0 12 12 0 2 13 11 0 11 20 9 0 18 18 0 9 25 16 0 16 23 7 0 21 21 0 14 28 14 0 21
21 0 7 26 19 0 19 31 12 0 24 24 0 12 29 17 0 17 22 5 0 20 20 0 15 30 15 0 25 25
0 10 30 20 0 20 30 10 0 25 25 0 15 30 15 0 20 20 0 5 23 18 0 18 31 13 0 26 26 0
13 34 21 0 21 29 8 0 24 24 0 16 32 16 0 24 24 0 8 27 19 0 19 30 11 0 22 22 0 11
25 14 0 14 17 3 0 15 15 0 12 24 12 0 21 21 0 9 27 18 0 18 27 9 0 24 24 0 15 30
15 0 21 21 0 6 24 18 0 18 30 12 0 24 24 0 12 30 18 0 18 24 6 0 21 21 0 15 30 15
0 24 24 0 9 27 18 0 18 27 9 0 21 21 0 12 24 12 0 15 15 0 3 16 13 0 13 23 10 0
20 20 0 10 27 17 0 17 24 7 0 21 21 0 14 28 14 0 21 21 0 7 25 18 0 18 29 11 0 22
22 0 11 26 15 0 15 19 4 0 16 16 0 12 24 12 0 20 20 0 8 24 16 0 16 24 8 0 20 20
0 12 24 12 0 16 16 0 4 17 13 0 13 22 9 0 18 18 0 9 23 14 0 14 19 5 0 15 15 0 10
20 10 0 15 15 0 5 16 11 0 11 17 6 0 12 12 0 6 13 7 0 7 8 1 0 8 8 0 7 14 7 0 13
13 0 6 18 12 0 12 18 6 0 17 17 0 11 22 11 0 16 16 0 5 20 15 0 15 25 10 0 20 20
0 10 25 15 0 15 20 5 0 19 19 0 14 28 14 0 23 23 0 9 27 18 0 18 27 9 0 22 22 0
13 26 13 0 17 17 0 4 20 16 0 16 28 12 0 24 24 0 12 32 20 0 20 28 8 0 24 24 0 16
32 16 0 24 24 0 8 28 20 0 20 32 12 0 24 24 0 12 28 16 0 16 20 4 0 19 19 0 15 30
15 0 26 26 0 11 33 22 0 22 33 11 0 29 29 0 18 36 18 0 25 25 0 7 28 21 0 21 35
14 0 28 28 0 14 35 21 0 21 28 7 0 24 24 0 17 34 17 0 27 27 0 10 30 20 0 20 30
10 0 23 23 0 13 26 13 0 16 16 0 3 18 15 0 15 27 12 0 24 24 0 12 33 21 0 21 30 9
0 27 27 0 18 36 18 0 27 27 0 9 33 24 0 24 39 15 0 30 30 0 15 36 21 0 21 27 6 0
24 24 0 18 36 18 0 30 30 0 12 36 24 0 24 36 12 0 30 30 0 18 36 18 0 24 24 0 6
27 21 0 21 36 15 0 30 30 0 15 39 24 0 24 33 9 0 27 27 0 18 36 18 0 27 27 0 9 30
21 0 21 33 12 0 24 24 0 12 27 15 0 15 18 3 0 17 17 0 14 28 14 0 25 25 0 11 33
22 0 22 33 11 0 30 30 0 19 38 19 0 27 27 0 8 32 24 0 24 40 16 0 32 32 0 16 40
24 0 24 32 8 0 29 29 0 21 42 21 0 34 34 0 13 39 26 0 26 39 13 0 31 31 0 18 36
18 0 23 23 0 5 25 20 0 20 35 15 0 30 30 0 15 40 25 0 25 35 10 0 30 30 0 20 40
20 0 30 30 0 10 35 25 0 25 40 15 0 30 30 0 15 35 20 0 20 25 5 0 22 22 0 17 34
17 0 29 29 0 12 36 24 0 24 36 12 0 31 31 0 19 38 19 0 26 26 0 7 28 21 0 21 35
14 0 28 28 0 14 35 21 0 21 28 7 0 23 23 0 16 32 16 0 25 25 0 9 27 18 0 18 27 9
0 20 20 0 11 22 11 0 13 13 0 2 14 12 0 12 22 10 0 20 20 0 10 28 18 0 18 26 8 0
24 24 0 16 32 16 0 24 24 0 8 30 22 0 22 36 14 0 28 28 0 14 34 20 0 20 26 6 0 24
24 0 18 36 18 0 30 30 0 12 36 24 0 24 36 12 0 30 30 0 18 36 18 0 24 24 0 6 28
22 0 22 38 16 0 32 32 0 16 42 26 0 26 36 10 0 30 30 0 20 40 20 0 30 30 0 10 34
24 0 24 38 14 0 28 28 0 14 32 18 0 18 22 4 0 20 20 0 16 32 16 0 28 28 0 12 36
24 0 24 36 12 0 32 32 0 20 40 20 0 28 28 0 8 32 24 0 24 40 16 0 32 32 0 16 40
24 0 24 32 8 0 28 28 0 20 40 20 0 32 32 0 12 36 24 0 24 36 12 0 28 28 0 16 32
16 0 20 20 0 4 22 18 0 18 32 14 0 28 28 0 14 38 24 0 24 34 10 0 30 30 0 20 40
20 0 30 30 0 10 36 26 0 26 42 16 0 32 32 0 16 38 22 0 22 28 6 0 24 24 0 18 36
18 0 30 30 0 12 36 24 0 24 36 12 0 30 30 0 18 36 18 0 24 24 0 6 26 20 0 20 34
14 0 28 28 0 14 36 22 0 22 30 8 0 24 24 0 16 32 16 0 24 24 0 8 26 18 0 18 28 10
0 20 20 0 10 22 12 0 12 14 2 0 13 13 0 11 22 11 0 20 20 0 9 27 18 0 18 27 9 0
25 25 0 16 32 16 0 23 23 0 7 28 21 0 21 35 14 0 28 28 0 14 35 21 0 21 28 7 0 26
26 0 19 38 19 0 31 31 0 12 36 24 0 24 36 12 0 29 29 0 17 34 17 0 22 22 0 5 25
20 0 20 35 15 0 30 30 0 15 40 25 0 25 35 10 0 30 30 0 20 40 20 0 30 30 0 10 35
25 0 25 40 15 0 30 30 0 15 35 20 0 20 25 5 0 23 23 0 18 36 18 0 31 31 0 13 39
26 0 26 39 13 0 34 34 0 21 42 21 0 29 29 0 8 32 24 0 24 40 16 0 32 32 0 16 40
24 0 24 32 8 0 27 27 0 19 38 19 0 30 30 0 11 33 22 0 22 33 11 0 25 25 0 14 28
14 0 17 17 0 3 18 15 0 15 27 12 0 24 24 0 12 33 21 0 21 30 9 0 27 27 0 18 36 18
0 27 27 0 9 33 24 0 24 39 15 0 30 30 0 15 36 21 0 21 27 6 0 24 24 0 18 36 18 0
30 30 0 12 36 24 0 24 36 12 0 30 30 0 18 36 18 0 24 24 0 6 27 21 0 21 36 15 0
30 30 0 15 39 24 0 24 33 9 0 27 27 0 18 36 18 0 27 27 0 9 30 21 0 21 33 12 0 24
24 0 12 27 15 0 15 18 3 0 16 16 0 13 26 13 0 23 23 0 10 30 20 0 20 30 10 0 27
27 0 17 34 17 0 24 24 0 7 28 21 0 21 35 14 0 28 28 0 14 35 21 0 21 28 7 0 25 25
0 18 36 18 0 29 29 0 11 33 22 0 22 33 11 0 26 26 0 15 30 15 0 19 19 0 4 20 16 0
16 28 12 0 24 24 0 12 32 20 0 20 28 8 0 24 24 0 16 32 16 0 24 24 0 8 28 20 0 20
32 12 0 24 24 0 12 28 16 0 16 20 4 0 17 17 0 13 26 13 0 22 22 0 9 27 18 0 18 27
9 0 23 23 0 14 28 14 0 19 19 0 5 20 15 0 15 25 10 0 20 20 0 10 25 15 0 15 20 5
0 16 16 0 11 22 11 0 17 17 0 6 18 12 0 12 18 6 0 13 13 0 7 14 7 0 8 8 0 1 9 8 0
8 15 7 0 14 14 0 7 20 13 0 13 19 6 0 18 18 0 12 24 12 0 18 18 0 6 23 17 0 17 28
11 0 22 22 0 11 27 16 0 16 21 5 0 20 20 0 15 30 15 0 25 25 0 10 30 20 0 20 30
10 0 25 25 0 15 30 15 0 20 20 0 5 24 19 0 19 33 14 0 28 28 0 14 37 23 0 23 32 9
0 27 27 0 18 36 18 0 27 27 0 9 31 22 0 22 35 13 0 26 26 0 13 30 17 0 17 21 4 0
20 20 0 16 32 16 0 28 28 0 12 36 24 0 24 36 12 0 32 32 0 20 40 20 0 28 28 0 8
32 24 0 24 40 16 0 32 32 0 16 40 24 0 24 32 8 0 28 28 0 20 40 20 0 32 32 0 12
36 24 0 24 36 12 0 28 28 0 16 32 16 0 20 20 0 4 23 19 0 19 34 15 0 30 30 0 15
41 26 0 26 37 11 0 33 33 0 22 44 22 0 33 33 0 11 40 29 0 29 47 18 0 36 36 0 18
43 25 0 25 32 7 0 28 28 0 21 42 21 0 35 35 0 14 42 28 0 28 42 14 0 35 35 0 21
42 21 0 28 28 0 7 31 24 0 24 41 17 0 34 34 0 17 44 27 0 27 37 10 0 30 30 0 20
40 20 0 30 30 0 10 33 23 0 23 36 13 0 26 26 0 13 29 16 0 16 19 3 0 18 18 0 15
30 15 0 27 27 0 12 36 24 0 24 36 12 0 33 33 0 21 42 21 0 30 30 0 9 36 27 0 27
45 18 0 36 36 0 18 45 27 0 27 36 9 0 33 33 0 24 48 24 0 39 39 0 15 45 30 0 30
45 15 0 36 36 0 21 42 21 0 27 27 0 6 30 24 0 24 42 18 0 36 36 0 18 48 30 0 30
42 12 0 36 36 0 24 48 24 0 36 36 0 12 42 30 0 30 48 18 0 36 36 0 18 42 24 0 24
30 6 0 27 27 0 21 42 21 0 36 36 0 15 45 30 0 30 45 15 0 39 39 0 24 48 24 0 33
33 0 9 36 27 0 27 45 18 0 36 36 0 18 45 27 0 27 36 9 0 30 30 0 21 42 21 0 33 33
0 12 36 24 0 24 36 12 0 27 27 0 15 30 15 0 18 18 0 3 20 17 0 17 31 14 0 28 28 0
14 39 25 0 25 36 11 0 33 33 0 22 44 22 0 33 33 0 11 41 30 0 30 49 19 0 38 38 0
19 46 27 0 27 35 8 0 32 32 0 24 48 24 0 40 40 0 16 48 32 0 32 48 16 0 40 40 0
24 48 24 0 32 32 0 8 37 29 0 29 50 21 0 42 42 0 21 55 34 0 34 47 13 0 39 39 0
26 52 26 0 39 39 0 13 44 31 0 31 49 18 0 36 36 0 18 41 23 0 23 28 5 0 25 25 0
20 40 20 0 35 35 0 15 45 30 0 30 45 15 0 40 40 0 25 50 25 0 35 35 0 10 40 30 0
30 50 20 0 40 40 0 20 50 30 0 30 40 10 0 35 35 0 25 50 25 0 40 40 0 15 45 30 0
30 45 15 0 35 35 0 20 40 20 0 25 25 0 5 27 22 0 22 39 17 0 34 34 0 17 46 29 0
29 41 12 0 36 36 0 24 48 24 0 36 36 0 12 43 31 0 31 50 19 0 38 38 0 19 45 26 0
26 33 7 0 28 28 0 21 42 21 0 35 35 0 14 42 28 0 28 42 14 0 35 35 0 21 42 21 0
28 28 0 7 30 23 0 23 39 16 0 32 32 0 16 41 25 0 25 34 9 0 27 27 0 18 36 18 0 27
27 0 9 29 20 0 20 31 11 0 22 22 0 11 24 13 0 13 15 2 0 14 14 0 12 24 12 0 22 22
0 10 30 20 0 20 30 10 0 28 28 0 18 36 18 0 26 26 0 8 32 24 0 24 40 16 0 32 32 0
16 40 24 0 24 32 8 0 30 30 0 22 44 22 0 36 36 0 14 42 28 0 28 42 14 0 34 34 0
20 40 20 0 26 26 0 6 30 24 0 24 42 18 0 36 36 0 18 48 30 0 30 42 12 0 36 36 0
24 48 24 0 36 36 0 12 42 30 0 30 48 18 0 36 36 0 18 42 24 0 24 30 6 0 28 28 0
22 44 22 0 38 38 0 16 48 32 0 32 48 16 0 42 42 0 26 52 26 0 36 36 0 10 40 30 0
30 50 20 0 40 40 0 20 50 30 0 30 40 10 0 34 34 0 24 48 24 0 38 38 0 14 42 28 0
28 42 14 0 32 32 0 18 36 18 0 22 22 0 4 24 20 0 20 36 16 0 32 32 0 16 44 28 0
28 40 12 0 36 36 0 24 48 24 0 36 36 0 12 44 32 0 32 52 20 0 40 40 0 20 48 28 0
28 36 8 0 32 32 0 24 48 24 0 40 40 0 16 48 32 0 32 48 16 0 40 40 0 24 48 24 0
32 32 0 8 36 28 0 28 48 20 0 40 40 0 20 52 32 0 32 44 12 0 36 36 0 24 48 24 0
36 36 0 12 40 28 0 28 44 16 0 32 32 0 16 36 20 0 20 24 4 0 22 22 0 18 36 18 0
32 32 0 14 42 28 0 28 42 14 0 38 38 0 24 48 24 0 34 34 0 10 40 30 0 30 50 20 0
40 40 0 20 50 30 0 30 40 10 0 36 36 0 26 52 26 0 42 42 0 16 48 32 0 32 48 16 0
38 38 0 22 44 22 0 28 28 0 6 30 24 0 24 42 18 0 36 36 0 18 48 30 0 30 42 12 0
36 36 0 24 48 24 0 36 36 0 12 42 30 0 30 48 18 0 36 36 0 18 42 24 0 24 30 6 0
26 26 0 20 40 20 0 34 34 0 14 42 28 0 28 42 14 0 36 36 0 22 44 22 0 30 30 0 8
32 24 0 24 40 16 0 32 32 0 16 40 24 0 24 32 8 0 26 26 0 18 36 18 0 28 28 0 10
30 20 0 20 30 10 0 22 22 0 12 24 12 0 14 14 0 2 15 13 0 13 24 11 0 22 22 0 11
31 20 0 20 29 9 0 27 27 0 18 36 18 0 27 27 0 9 34 25 0 25 41 16 0 32 32 0 16 39
23 0 23 30 7 0 28 28 0 21 42 21 0 35 35 0 14 42 28 0 28 42 14 0 35 35 0 21 42
21 0 28 28 0 7 33 26 0 26 45 19 0 38 38 0 19 50 31 0 31 43 12 0 36 36 0 24 48
24 0 36 36 0 12 41 29 0 29 46 17 0 34 34 0 17 39 22 0 22 27 5 0 25 25 0 20 40
20 0 35 35 0 15 45 30 0 30 45 15 0 40 40 0 25 50 25 0 35 35 0 10 40 30 0 30 50
20 0 40 40 0 20 50 30 0 30 40 10 0 35 35 0 25 50 25 0 40 40 0 15 45 30 0 30 45
15 0 35 35 0 20 40 20 0 25 25 0 5 28 23 0 23 41 18 0 36 36 0 18 49 31 0 31 44
13 0 39 39 0 26 52 26 0 39 39 0 13 47 34 0 34 55 21 0 42 42 0 21 50 29 0 29 37
8 0 32 32 0 24 48 24 0 40 40 0 16 48 32 0 32 48 16 0 40 40 0 24 48 24 0 32 32 0
8 35 27 0 27 46 19 0 38 38 0 19 49 30 0 30 41 11 0 33 33 0 22 44 22 0 33 33 0
11 36 25 0 25 39 14 0 28 28 0 14 31 17 0 17 20 3 0 18 18 0 15 30 15 0 27 27 0
12 36 24 0 24 36 12 0 33 33 0 21 42 21 0 30 30 0 9 36 27 0 27 45 18 0 36 36 0
18 45 27 0 27 36 9 0 33 33 0 24 48 24 0 39 39 0 15 45 30 0 30 45 15 0 36 36 0
21 42 21 0 27 27 0 6 30 24 0 24 42 18 0 36 36 0 18 48 30 0 30 42 12 0 36 36 0
24 48 24 0 36 36 0 12 42 30 0 30 48 18 0 36 36 0 18 42 24 0 24 30 6 0 27 27 0
21 42 21 0 36 36 0 15 45 30 0 30 45 15 0 39 39 0 24 48 24 0 33 33 0 9 36 27 0
27 45 18 0 36 36 0 18 45 27 0 27 36 9 0 30 30 0 21 42 21 0 33 33 0 12 36 24 0
24 36 12 0 27 27 0 15 30 15 0 18 18 0 3 19 16 0 16 29 13 0 26 26 0 13 36 23 0
23 33 10 0 30 30 0 20 40 20 0 30 30 0 10 37 27 0 27 44 17 0 34 34 0 17 41 24 0
24 31 7 0 28 28 0 21 42 21 0 35 35 0 14 42 28 0 28 42 14 0 35 35 0 21 42 21 0
28 28 0 7 32 25 0 25 43 18 0 36 36 0 18 47 29 0 29 40 11 0 33 33 0 22 44 22 0
33 33 0 11 37 26 0 26 41 15 0 30 30 0 15 34 19 0 19 23 4 0 20 20 0 16 32 16 0
28 28 0 12 36 24 0 24 36 12 0 32 32 0 20 40 20 0 28 28 0 8 32 24 0 24 40 16 0
32 32 0 16 40 24 0 24 32 8 0 28 28 0 20 40 20 0 32 32 0 12 36 24 0 24 36 12 0
28 28 0 16 32 16 0 20 20 0 4 21 17 0 17 30 13 0 26 26 0 13 35 22 0 22 31 9 0 27
27 0 18 36 18 0 27 27 0 9 32 23 0 23 37 14 0 28 28 0 14 33 19 0 19 24 5 0 20 20
0 15 30 15 0 25 25 0 10 30 20 0 20 30 10 0 25 25 0 15 30 15 0 20 20 0 5 21 16 0
16 27 11 0 22 22 0 11 28 17 0 17 23 6 0 18 18 0 12 24 12 0 18 18 0 6 19 13 0 13
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1 10
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