Base 8: Iteration Frequencies: Full Cycle

Radix Character Encoding
0	1	2	3	4	5	6	7

Color Key
Orange	Fixed Point	number that becomes itself after one iteration
Green	Final Numbers	all numbers eventually reached, from all cycles
Purple	Cycle Start	iterations include entry into cycle, assuming it repeats
Red	Full Cycle	iterations include entire cycle, proving it repeats
Blue	Start Numbers	subset (optimization) of all numbers; minimal for full coverage
Gray	No Results	any calculation that has no results

Digits

100

Average Steps
Full Cycle

1.88 step
avg

3.42 step
avg

3.83 step
avg

6.62 step
avg

7.20 step
avg

9.45 step
avg

9.74 step
avg

9.43 step
avg

10.43 step
avg

8.29 step
avg

8.99 step
avg

7.18 step
avg

12.79 step
avg

7.17 step
avg

14.09 step
avg

7.68 step
avg

10.32 step
avg

7.30 step
avg

10.43 step
avg

8.43 step
avg

8.77 step
avg

9.47 step
avg

8.83 step
avg

8.12 step
avg

8.29 step
avg

8.31 step
avg

8.45 step
avg

7.68 step
avg

9.06 step
avg

7.79 step
avg

8.10 step
avg

7.53 step
avg

8.14 step
avg

7.67 step
avg

7.70 step
avg

8.11 step
avg

7.69 step
avg

7.57 step
avg

7.49 step
avg

7.60 step
avg

7.33 step
avg

7.87 step
avg

7.34 step
avg

7.48 step
avg

7.23 step
avg

7.47 step
avg

7.31 step
avg

7.28 step
avg

7.51 step
avg

7.28 step
avg

7.23 step
avg

7.18 step
avg

7.23 step
avg

7.24 step
avg

7.10 step
avg

7.39 step
avg

7.10 step
avg

7.17 step
avg

7.03 step
avg

7.16 step
avg

7.09 step
avg

7.05 step
avg

7.21 step
avg

7.05 step
avg

6.99 step
avg

7.04 step
avg

6.96 step
avg

7.13 step
avg

6.96 step
avg

7.00 step
avg

6.91 step
avg

6.99 step
avg

6.95 step
avg

6.92 step
avg

7.03 step
avg

6.92 step
avg

6.87 step
avg

6.91 step
avg

6.86 step
avg

6.97 step
avg

6.86 step
avg

6.89 step
avg

6.82 step
avg

6.87 step
avg

6.86 step
avg

6.83 step
avg

6.91 step
avg

6.83 step
avg

6.84 step
avg

6.80 step
avg

6.83 step
avg

6.79 step
avg

6.87 step
avg

6.79 step
avg

Step Frequency
Full Cycle

0s:
1s:
2s:
0×
1×
7×

0s:
1s:
2s:
3s:
4s:
5s:
0×
2×
11×
3×
10×
10×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
0×
1×
27×
18×
34×
26×
14×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
0×
1×
7×
0×
34×
39×
79×
68×
48×
34×
20×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
0×
1×
7×
50×
20×
132×
154×
80×
130×
64×
56×
38×
60×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
0×
1×
51×
46×
108×
94×
130×
166×
140×
166×
96×
141×
120×
115×
143×
123×
68×
8×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
0×
1×
61×
114×
136×
170×
132×
68×
280×
378×
446×
608×
410×
298×
260×
56×
14×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
0×
1×
34×
68×
296×
520×
762×
647×
506×
498×
667×
536×
566×
353×
235×
326×
304×
76×
40×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
0×
1×
27×
0×
0×
166×
880×
1,730×
1,866×
732×
772×
804×
888×
1,152×
798×
582×
492×
390×
138×
22×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
0×
1×
34×
68×
329×
2,210×
3,318×
3,277×
2,859×
2,185×
1,359×
1,301×
689×
483×
313×
496×
272×
122×
60×
72×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
0×
1×
7×
118×
720×
1,946×
2,752×
3,636×
4,262×
6,112×
3,890×
2,996×
2,132×
1,506×
1,338×
270×
118×
20×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
0×
1×
174×
986×
2,209×
7,081×
12,341×
10,689×
5,502×
4,353×
2,407×
1,505×
1,180×
779×
572×
497×
112×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
0×
1×
7×
0×
0×
0×
408×
2,700×
3,942×
2,294×
1,840×
8,270×
16,190×
12,422×
9,754×
8,292×
6,244×
3,160×
884×
502×
356×
224×
30×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
0×
1×
211×
1,634×
4,384×
18,456×
25,794×
21,646×
18,364×
10,963×
5,519×
4,517×
2,683×
1,053×
577×
244×
204×
30×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
0×
1×
155×
1,842×
4,280×
4,772×
5,860×
5,342×
7,094×
7,122×
7,694×
2,956×
2,284×
1,592×
13,806×
29,292×
21,588×
15,612×
13,502×
10,386×
6,908×
4,570×
2,578×
504×
348×
456×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
0×
1×
61×
716×
3,017×
36,490×
56,108×
40,755×
32,115×
26,281×
17,629×
11,166×
8,262×
6,417×
3,587×
1,638×
632×
282×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
0×
1×
207×
1,698×
1,206×
6,238×
25,684×
32,908×
43,574×
36,614×
35,540×
36,578×
39,472×
33,136×
21,816×
16,192×
7,112×
4,564×
1,612×
1,230×
494×
228×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
0×
1×
129×
2,798×
9,427×
79,474×
110,749×
81,533×
63,751×
59,305×
40,539×
20,099×
9,563×
1,903×
733×
332×
328×
36×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
0×
1×
207×
1,922×
1,998×
25,640×
79,998×
65,592×
63,810×
56,574×
55,698×
59,020×
56,824×
45,366×
34,252×
38,522×
33,064×
19,186×
13,480×
5,036×
932×
450×
228×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
0×
1×
88×
2,808×
13,033×
139,316×
185,402×
124,732×
95,244×
64,635×
22,329×
32,654×
64,524×
60,057×
34,813×
21,082×
11,832×
12,104×
2,608×
768×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
0×
1×
529×
9,996×
31,484×
78,408×
182,058×
164,120×
151,146×
139,198×
104,054×
94,006×
77,648×
65,790×
40,028×
25,796×
12,554×
6,020×
1,102×
80×
22×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
0×
1×
288×
7,802×
37,105×
254,520×
322,358×
200,206×
135,638×
83,837×
25,657×
19,691×
19,733×
11,385×
43,125×
123,772×
97,158×
55,632×
55,416×
27,776×
18,852×
16,482×
3,578×
768×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
0×
1×
263×
5,522×
10,466×
134,542×
379,578×
332,044×
243,994×
189,902×
182,790×
183,718×
115,518×
81,476×
65,468×
50,136×
31,906×
15,854×
7,592×
4,582×
428×
20×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
0×
1×
356×
12,086×
23,091×
402,760×
586,911×
378,263×
294,617×
212,037×
163,241×
170,142×
142,084×
92,505×
54,023×
35,724×
16,128×
18,696×
12,292×
11,242×
2,608×
768×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
0×
1×
263×
5,690×
20,808×
281,218×
710,540×
581,854×
424,764×
374,972×
348,962×
253,746×
128,166×
83,278×
44,384×
33,962×
29,240×
18,636×
13,608×
9,104×
2,310×
350×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
0×
1×
315×
12,812×
46,062×
686,040×
963,862×
602,163×
381,121×
294,891×
265,697×
258,751×
208,889×
141,407×
118,945×
137,792×
88,750×
37,988×
19,798×
5,832×
932×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
0×
1×
483×
15,446×
73,454×
521,130×
1,154,234×
881,688×
650,370×
514,076×
320,994×
283,602×
307,590×
244,982×
146,428×
88,148×
62,982×
67,878×
33,134×
12,012×
984×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
0×
1×
713×
31,336×
105,830×
1,142,908×
1,620,544×
1,022,916×
714,510×
555,895×
464,881×
370,954×
262,476×
207,773×
136,477×
55,576×
24,452×
7,278×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:
0×
1×
591×
25,356×
109,078×
861,448×
1,898,098×
1,393,254×
881,080×
626,114×
388,102×
325,554×
198,956×
117,242×
151,362×
357,408×
339,146×
198,924×
169,502×
113,852×
64,416×
66,456×
32,996×
14,214×
5,418×
1,686×
1,790×
4,520×
1,116×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
0×
1×
439×
31,212×
64,799×
1,734,582×
2,617,805×
1,592,142×
1,033,048×
779,781×
710,529×
629,401×
367,883×
227,785×
178,447×
179,798×
91,438×
36,956×
10,828×
6,708×
1,868×
22×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
0×
1×
591×
25,884×
65,682×
1,353,428×
3,143,626×
2,217,280×
1,449,932×
1,121,634×
866,588×
829,322×
572,806×
372,080×
205,864×
106,162×
77,892×
75,646×
49,070×
52,340×
26,598×
7,092×
738×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
0×
1×
470×
32,324×
133,062×
2,714,734×
4,039,122×
2,443,903×
1,549,825×
1,331,009×
1,211,999×
859,588×
444,620×
235,173×
138,523×
107,956×
88,242×
26,178×
15,286×
8,510×
412×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
0×
1×
739×
44,554×
165,504×
2,219,034×
4,814,772×
3,146,180×
1,824,664×
1,434,564×
1,200,288×
1,165,092×
808,402×
453,604×
381,702×
400,600×
329,078×
156,278×
59,818×
25,618×
12,036×
908×
124×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
0×
1×
598×
50,810×
186,329×
4,045,812×
5,969,380×
3,567,917×
2,233,807×
1,873,229×
1,187,459×
896,087×
818,911×
616,541×
352,749×
206,338×
146,684×
172,090×
111,632×
32,218×
8,150×
4,598×
600×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
0×
1×
1,213×
78,146×
222,834×
3,456,268×
7,373,100×
4,857,982×
3,006,992×
2,181,664×
1,860,978×
1,559,648×
925,718×
635,916×
389,496×
241,076×
127,790×
38,968×
12,246×
8,032×
260×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
0×
1×
794×
84,402×
281,752×
5,879,802×
8,754,625×
5,055,182×
2,936,652×
2,193,307×
1,412,051×
975,348×
638,394×
346,979×
365,953×
704,224×
795,602×
520,152×
412,640×
306,962×
178,218×
195,138×
99,874×
47,426×
24,956×
10,912×
2,684×
84×

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1s:
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0×
1×
847×
61,368×
155,066×
5,098,644×
10,994,608×
7,024,242×
3,971,812×
2,908,168×
2,532,096×
2,218,358×
1,270,008×
662,832×
476,836×
438,152×
355,604×
110,048×
32,480×
8,246×
1,130×
22×

0s:
1s:
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0×
1×
753×
85,648×
251,952×
8,427,412×
12,563,950×
7,243,448×
4,294,014×
3,401,867×
2,688,505×
2,404,457×
1,539,713×
838,723×
500,701×
292,134×
205,842×
200,164×
146,172×
165,044×
86,056×
30,228×
7,638×
4,598×
600×

0s:
1s:
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22s:
0×
1×
995×
92,966×
445,594×
7,696,928×
15,600,988×
9,693,098×
5,375,184×
4,399,610×
3,939,896×
2,907,222×
1,550,210×
705,054×
379,248×
332,954×
262,410×
78,688×
32,004×
27,566×
3,294×
750×
20×

0s:
1s:
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0×
1×
881×
117,094×
404,587×
11,925,966×
17,855,338×
9,980,701×
5,307,053×
4,413,051×
3,428,315×
2,961,150×
1,990,184×
1,124,409×
926,819×
1,096,984×
766,042×
413,478×
146,372×
27,548×
5,526×

0s:
1s:
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23s:
0×
1×
1,103×
128,578×
356,052×
10,933,448×
21,937,618×
13,097,056×
7,284,878×
5,911,508×
4,313,062×
3,037,584×
2,205,778×
1,520,284×
844,836×
629,042×
515,224×
502,768×
265,820×
106,122×
21,194×
13,460×
2,742×
914×

0s:
1s:
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0×
1×
1,611×
199,348×
545,221×
16,607,380×
24,946,877×
14,382,417×
8,129,453×
6,327,423×
4,788,061×
3,927,593×
2,352,591×
1,543,271×
1,080,053×
648,206×
310,786×
83,406×
23,104×
3,274×
508×

0s:
1s:
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0×
1×
1,231×
160,120×
554,548×
15,498,168×
30,454,028×
17,557,376×
9,342,432×
6,952,626×
4,791,276×
3,387,978×
2,023,614×
963,660×
764,634×
1,493,822×
1,567,426×
1,159,884×
1,005,436×
811,848×
382,076×
531,812×
263,014×
127,058×
54,770×
27,794×
5,942×
1,786×
26×
14×

0s:
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0×
1×
1,036×
170,568×
498,199×
22,627,000×
34,366,434×
19,295,200×
10,541,314×
8,224,873×
6,535,015×
5,317,054×
3,075,212×
1,606,367×
1,153,063×
1,179,278×
748,728×
305,586×
76,964×
41,940×
9,522×
1,488×
258×

0s:
1s:
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25s:
0×
1×
1,379×
209,142×
640,048×
21,628,430×
41,333,594×
23,577,178×
12,453,900×
9,670,820×
7,607,532×
6,500,382×
4,056,454×
1,938,072×
1,084,802×
796,158×
617,316×
503,616×
373,730×
438,468×
230,610×
87,120×
18,670×
13,482×
2,742×
914×

0s:
1s:
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0×
1×
1,164×
219,854×
892,677×
31,015,028×
46,329,466×
25,210,794×
13,880,048×
11,412,155×
9,630,133×
7,109,831×
3,713,641×
1,748,173×
1,022,415×
949,810×
674,406×
216,918×
71,522×
42,902×
2,122×
20×

0s:
1s:
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21s:
0×
1×
1,559×
258,882×
711,254×
29,541,440×
55,806,656×
31,227,492×
15,518,376×
11,976,710×
9,314,848×
7,781,502×
5,113,502×
2,561,672×
1,944,768×
2,215,756×
1,970,952×
835,098×
269,068×
46,440×
4,406×
178×

0s:
1s:
2s:
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24s:
0×
1×
1,360×
303,438×
824,981×
41,158,826×
61,873,169×
33,113,599×
18,235,719×
14,911,591×
10,700,543×
7,003,970×
5,004,442×
3,008,269×
1,774,003×
1,527,426×
1,218,788×
1,239,474×
652,768×
280,568×
42,570×
36,570×
8,320×
6,156×
1,174×

0s:
1s:
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21s:
0×
1×
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352,390×
901,812×
40,078,194×
74,395,768×
41,336,714×
21,257,496×
16,067,470×
12,743,124×
10,186,160×
6,138,982×
3,621,540×
2,019,818×
1,459,032×
856,358×
315,012×
99,648×
70,796×
12,938×
1,902×

0s:
1s:
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28s:
0×
1×
1,447×
353,634×
1,352,162×
54,572,244×
81,414,038×
43,321,373×
22,739,579×
17,798,977×
11,586,985×
7,906,829×
4,504,735×
2,385,523×
1,471,937×
2,853,810×
3,032,426×
2,135,134×
2,139,300×
1,733,120×
823,838×
1,157,646×
681,426×
296,116×
99,326×
13,130×
5,168×
5,044×
888×

0s:
1s:
2s:
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0×
1×
1,763×
376,184×
1,068,306×
53,343,028×
97,360,094×
53,308,090×
26,553,430×
20,358,268×
16,164,508×
13,337,360×
7,384,156×
3,567,414×
2,415,402×
2,509,482×
1,836,956×
782,262×
224,392×
66,828×
12,558×
3,448×
158×

0s:
1s:
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26s:
0×
1×
1,647×
426,590×
1,321,396×
71,550,056×
106,447,550×
55,931,124×
29,473,588×
23,492,827×
17,304,767×
13,509,606×
8,673,726×
4,033,711×
2,168,407×
1,744,976×
1,405,176×
1,148,102×
776,350×
869,304×
592,550×
230,484×
29,572×
9,024×
3,116×
4,928×
868×

0s:
1s:
2s:
3s:
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22s:
0×
1×
1,871×
448,614×
1,405,522×
70,779,678×
126,455,754×
67,892,676×
33,586,858×
27,192,244×
22,389,318×
16,801,956×
8,658,170×
3,842,824×
2,323,134×
2,158,068×
1,456,742×
553,562×
174,294×
75,582×
8,402×
1,570×
80×

0s:
1s:
2s:
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22s:
0×
1×
1,843×
558,324×
1,583,009×
92,695,726×
137,267,691×
71,212,968×
36,194,950×
27,939,251×
21,157,985×
16,717,297×
11,320,733×
5,147,761×
3,784,355×
4,782,086×
3,763,294×
1,444,338×
501,502×
156,170×
35,692×
5,498×
306×

0s:
1s:
2s:
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24s:
25s:
0×
1×
1,999×
520,708×
1,336,198×
92,120,828×
162,273,604×
85,862,964×
42,409,932×
34,741,528×
25,105,268×
16,752,032×
10,379,742×
6,057,666×
3,248,822×
3,095,846×
2,615,958×
2,876,528×
1,419,604×
629,494×
160,584×
145,738×
29,970×
8,666×
2,122×
350×

0s:
1s:
2s:
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21s:
0×
1×
2,584×
699,272×
2,101,582×
119,411,308×
176,444,740×
91,865,495×
47,456,163×
36,503,459×
27,428,229×
21,258,098×
12,495,058×
6,935,719×
4,090,657×
3,444,948×
2,144,612×
685,348×
225,952×
64,918×
11,634×
894×

0s:
1s:
2s:
3s:
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29s:
0×
1×
2,347×
694,566×
2,424,046×
119,347,266×
206,290,800×
107,377,846×
52,464,166×
40,509,682×
27,332,560×
18,924,712×
10,463,656×
4,694,898×
2,800,534×
4,759,420×
5,289,958×
4,134,226×
3,717,490×
3,567,040×
1,646,590×
2,167,248×
1,500,646×
660,466×
294,730×
106,494×
31,618×
10,316×
2,520×
350×

0s:
1s:
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22s:
23s:
0×
1×
1,986×
728,348×
2,153,471×
152,009,676×
223,689,954×
115,373,963×
57,884,629×
45,333,473×
34,405,433×
26,672,255×
14,764,801×
7,275,341×
4,752,337×
5,376,804×
3,693,960×
1,480,330×
396,738×
85,126×
81,896×
24,818×
4,530×
690×

0s:
1s:
2s:
3s:
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25s:
26s:
27s:
0×
1×
2,455×
797,204×
1,856,070×
152,694,062×
261,323,016×
134,197,756×
65,442,108×
50,048,672×
38,041,712×
30,059,736×
18,720,022×
7,424,752×
3,988,916×
3,825,490×
3,084,650×
2,192,122×
1,574,664×
1,686,280×
1,130,808×
484,922×
125,144×
60,606×
19,670×
6,130×
2,122×
350×

0s:
1s:
2s:
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21s:
22s:
0×
1×
2,182×
897,244×
2,855,672×
192,582,352×
281,456,579×
143,771,460×
71,371,148×
58,155,381×
45,672,195×
33,380,038×
17,459,440×
7,604,777×
5,074,765×
5,049,786×
2,825,730×
1,018,666×
259,032×
189,598×
18,834×
3,306×
22×

0s:
1s:
2s:
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22s:
0×
1×
2,583×
899,954×
2,120,158×
193,866,060×
327,094,426×
166,014,536×
78,555,552×
59,889,786×
45,061,682×
35,905,828×
22,571,658×
10,094,472×
6,515,032×
8,867,008×
7,682,548×
3,125,328×
915,952×
210,576×
40,898×
9,814×
52×

0s:
1s:
2s:
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25s:
26s:
0×
1×
2,341×
1,001,414×
3,019,654×
241,463,280×
351,029,250×
176,724,666×
88,650,146×
73,277,659×
51,145,357×
33,560,809×
20,048,215×
10,751,543×
6,525,293×
5,932,182×
5,196,912×
5,788,002×
2,608,574×
1,263,608×
490,096×
242,808×
120,220×
26,042×
26,950×
1,168×
1,058×

0s:
1s:
2s:
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23s:
24s:
0×
1×
3,609×
1,235,800×
3,476,790×
244,709,206×
406,820,814×
207,253,328×
99,879,256×
76,030,790×
56,945,024×
43,428,750×
24,548,620×
13,172,122×
7,879,870×
6,588,034×
4,501,242×
1,630,344×
390,866×
144,672×
93,466×
34,758×
5,880×
1,446×
32×

0s:
1s:
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30s:
0×
1×
2,597×
1,241,466×
4,384,757×
300,971,090×
435,506,234×
216,448,619×
108,122,709×
84,823,915×
56,277,875×
37,345,426×
20,641,500×
9,355,411×
5,641,737×
9,000,606×
8,563,272×
6,212,488×
6,617,498×
6,631,790×
3,075,714×
4,271,576×
2,512,048×
1,340,186×
489,236×
215,338×
128,736×
38,370×
28,284×
1,168×
1,058×

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1s:
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0×
1×
2,895×
1,270,350×
2,838,208×
305,303,150×
502,954,550×
254,301,572×
119,098,958×
91,767,082×
68,612,222×
53,866,550×
29,087,802×
12,965,788×
8,503,328×
10,474,000×
7,770,008×
2,902,272×
887,458×
247,462×
210,576×
35,242×
8,916×
1,108×
206×

0s:
1s:
2s:
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28s:
0×
1×
2,793×
1,469,722×
3,810,125×
372,796,462×
536,782,555×
264,606,055×
130,927,501×
103,168,979×
73,529,025×
58,153,979×
34,980,397×
13,878,877×
7,526,593×
8,077,414×
5,866,598×
4,234,008×
2,817,388×
3,432,058×
1,888,460×
931,740×
235,876×
76,032×
103,766×
23,174×
26,840×
1,136×
1,058×

0s:
1s:
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22s:
0×
1×
3,095×
1,428,120×
4,008,062×
380,164,978×
616,856,288×
308,563,114×
144,339,086×
114,172,524×
89,220,284×
64,823,050×
33,813,152×
14,977,882×
9,153,978×
9,477,746×
5,329,686×
1,970,204×
962,946×
277,882×
30,934×
6,022×
30×

0s:
1s:
2s:
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25s:
0×
1×
2,880×
1,611,154×
4,828,953×
458,524,682×
657,149,256×
322,268,512×
156,596,938×
121,388,077×
85,968,235×
65,401,162×
40,631,900×
18,630,949×
12,741,189×
17,165,180×
14,541,414×
5,191,454×
1,438,514×
457,256×
196,556×
78,152×
14,530×
2,294×
592×
20×

0s:
1s:
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27s:
0×
1×
3,371×
1,749,044×
4,546,646×
468,625,990×
751,474,228×
371,882,944×
174,245,226×
139,855,748×
99,048,174×
66,720,498×
38,407,920×
18,858,972×
10,722,742×
10,605,876×
9,277,906×
9,990,404×
5,390,096×
2,390,110×
1,047,696×
532,154×
342,584×
180,548×
148,052×
125,040×
16,260×
1,170×

0s:
1s:
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22s:
0×
1×
3,982×
2,065,078×
6,020,439×
562,125,642×
800,930,478×
392,296,502×
193,832,012×
149,723,641×
106,985,153×
79,434,607×
44,914,275×
24,577,703×
14,846,753×
13,560,670×
8,843,364×
2,987,724×
959,482×
376,720×
275,020×
38,442×
10,652×

0s:
1s:
2s:
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30s:
0×
1×
3,607×
2,070,248×
5,817,346×
574,600,512×
911,579,346×
447,947,188×
208,030,828×
163,349,844×
107,566,080×
72,466,568×
38,900,558×
17,235,442×
10,750,468×
14,611,562×
13,711,094×
9,368,456×
10,571,826×
11,372,140×
5,737,108×
7,229,798×
4,643,588×
2,292,156×
950,710×
426,886×
347,454×
155,660×
133,670×
29,334×
2,642×

0s:
1s:
2s:
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23s:
24s:
0×
1×
3,332×
2,221,230×
5,620,169×
682,630,310×
971,481,977×
473,477,055×
229,120,449×
176,827,925×
126,147,037×
94,849,902×
53,221,860×
23,871,489×
16,121,377×
20,017,680×
14,522,858×
5,422,426×
1,912,940×
809,558×
366,816×
50,186×
54,566×
1,390×
1,182×

0s:
1s:
2s:
3s:
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25s:
26s:
27s:
28s:
0×
1×
3,735×
2,254,230×
4,752,086×
700,372,324×
1,100,448,448×
536,582,808×
247,723,112×
192,608,344×
135,808,202×
103,415,422×
61,707,330×
24,812,058×
13,417,032×
14,626,090×
11,670,330×
8,417,520×
5,403,192×
5,411,820×
3,883,422×
1,887,110×
615,380×
299,126×
311,436×
126,874×
128,664×
27,662×
2,642×

0s:
1s:
2s:
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25s:
26s:
27s:
0×
1×
3,419×
2,407,834×
8,146,436×
828,660,694×
1,167,655,462×
565,739,935×
272,283,629×
214,846,895×
160,344,419×
114,940,569×
62,736,191×
26,710,655×
18,021,309×
18,666,282×
10,423,838×
3,861,746×
1,021,696×
459,500×
43,570×
68,506×
30,192×
124,864×
15,956×
2,952×
30×
20×

0s:
1s:
2s:
3s:
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22s:
23s:
24s:
0×
1×
4,011×
2,672,794×
6,957,266×
849,024,834×
1,320,084,696×
637,719,800×
292,164,716×
224,070,758×
154,742,750×
119,292,692×
73,529,900×
33,123,026×
20,417,824×
29,047,418×
25,787,566×
8,596,580×
3,109,184×
864,264×
406,206×
104,742×
30,674×
4,984×
130×

0s:
1s:
2s:
3s:
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25s:
26s:
0×
1×
3,675×
2,826,422×
8,268,322×
996,743,384×
1,399,128,678×
673,372,628×
324,097,666×
261,346,535×
178,673,553×
116,865,780×
68,571,226×
32,982,141×
18,776,579×
18,589,230×
15,939,048×
17,643,176×
8,968,872×
3,676,200×
1,912,474×
1,662,154×
1,256,176×
358,316×
226,550×
25,464×
4,378×

0s:
1s:
2s:
3s:
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22s:
23s:
24s:
0×
1×
5,261×
3,270,906×
7,132,694×
1,024,835,724×
1,578,950,400×
761,415,314×
354,323,528×
270,011,316×
189,307,474×
144,383,674×
80,892,204×
39,299,760×
24,928,962×
24,118,970×
17,019,126×
6,001,976×
1,823,446×
946,422×
496,866×
113,318×
82,542×
4,528×
1,364×

0s:
1s:
2s:
3s:
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21s:
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29s:
30s:
0×
1×
3,999×
3,390,932×
10,781,701×
1,195,423,890×
1,667,252,765×
799,263,174×
381,948,696×
300,589,655×
192,291,591×
129,205,861×
71,906,731×
31,047,267×
20,569,939×
24,404,818×
22,871,854×
14,925,992×
16,185,860×
18,479,836×
9,430,226×
11,314,504×
6,792,922×
3,750,498×
1,505,496×
1,285,430×
805,052×
288,640×
113,366×
15,442×
1,182×

0s:
1s:
2s:
3s:
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25s:
26s:
0×
1×
4,375×
3,317,972×
6,771,020×
1,229,033,114×
1,879,958,786×
901,512,648×
415,213,962×
315,963,888×
219,396,408×
167,795,314×
94,035,046×
40,342,900×
26,062,920×
33,347,822×
24,517,856×
9,646,910×
3,183,114×
1,302,470×
959,798×
261,000×
315,074×
79,696×
156,742×
20,700×
1,344×

0s:
1s:
2s:
3s:
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27s:
28s:
0×
1×
4,086×
3,661,834×
9,993,460×
1,425,524,368×
1,981,092,106×
944,578,329×
450,840,975×
348,797,353×
238,443,961×
177,059,966×
105,439,360×
42,332,731×
25,053,227×
27,278,996×
21,022,612×
14,272,104×
8,007,880×
8,423,170×
5,859,088×
2,869,600×
1,060,942×
807,112×
643,222×
171,188×
104,206×
12,898×
1,182×

0s:
1s:
2s:
3s:
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24s:
0×
1×
4,651×
3,852,496×
10,923,910×
1,471,283,030×
2,220,818,608×
1,060,829,108×
485,826,890×
377,574,742×
274,224,622×
197,348,408×
109,506,590×
45,051,288×
29,967,948×
32,943,118×
17,781,906×
5,996,372×
1,908,290×
1,202,818×
870,586×
253,998×
157,286×
8,620×
2,050×

0s:
1s:
2s:
3s:
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24s:
0×
1×
4,414×
4,197,220×
12,193,765×
1,695,002,638×
2,341,866,390×
1,107,241,141×
522,662,859×
402,759,243×
268,129,765×
203,816,267×
125,322,991×
54,553,313×
34,898,785×
50,549,576×
43,577,368×
15,198,736×
5,068,748×
2,147,296×
782,902×
173,356×
116,964×
3,508×
1,326×

0s:
1s:
2s:
3s:
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28s:
29s:
0×
1×
4,887×
4,386,684×
9,810,788×
1,748,310,922×
2,620,209,778×
1,245,174,968×
569,540,334×
448,383,286×
302,704,428×
202,717,782×
115,612,390×
53,883,162×
31,254,674×
30,195,498×
27,639,170×
29,561,732×
14,450,524×
6,734,862×
3,320,164×
2,691,330×
2,688,734×
1,018,028×
594,254×
235,878×
216,468×
29,540×
5,116×
178×

0s:
1s:
2s:
3s:
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27s:
0×
1×
5,776×
5,147,662×
13,352,322×
2,005,539,760×
2,761,740,339×
1,307,755,690×
623,956,700×
479,419,035×
324,178,655×
239,550,152×
135,094,714×
66,281,943×
43,476,295×
41,168,922×
28,470,582×
11,233,330×
3,545,724×
1,743,668×
1,248,582×
335,558×
405,210×
109,310×
199,730×
26,398×
3,912×
220×

0s:
1s:
2s:
3s:
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33s:
0×
1×
5,143×
4,921,040×
12,418,158×
2,069,756,514×
3,077,537,556×
1,455,702,822×
665,894,502×
513,198,064×
323,830,746×
224,031,424×
121,399,490×
51,524,680×
33,217,296×
38,392,760×
34,034,300×
22,360,750×
25,406,030×
29,033,408×
14,936,234×
18,741,054×
11,293,916×
6,024,736×
2,420,036×
2,027,452×
1,329,162×
747,622×
164,056×
148,358×
49,464×
5,720×
1,574×
20×

0s:
1s:
2s:
3s:
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25s:
0×
1×
4,753×
5,203,624×
13,968,906×
2,364,348,240×
3,239,141,346×
1,527,333,954×
723,651,294×
553,847,127×
371,953,565×
279,843,333×
156,609,921×
66,387,677×
44,517,431×
57,738,880×
41,713,916×
14,580,650×
5,658,820×
2,897,662×
2,321,426×
1,227,104×
448,392×
202,894×
17,478×
4,050×

0s:
1s:
2s:
3s:
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29s:
30s:
31s:
0×
1×
5,491×
5,591,682×
12,964,862×
2,441,269,090×
3,599,629,648×
1,694,337,906×
766,794,772×
585,872,956×
392,299,612×
302,731,828×
179,073,182×
65,778,314×
39,648,658×
45,746,816×
35,320,078×
23,054,806×
13,090,162×
14,285,204×
9,266,810×
4,366,946×
1,737,634×
1,269,602×
871,718×
536,796×
121,600×
145,292×
49,148×
5,720×
1,574×
20×

0s:
1s:
2s:
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17s:
18s:
19s:
20s:
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22s:
23s:
24s:
25s:
26s:
0×
1×
5,009×
5,873,332×
18,516,771×
2,780,279,786×
3,785,673,796×
1,776,212,535×
840,561,937×
651,079,133×
454,820,149×
323,133,888×
176,919,734×
77,194,431×
52,076,467×
55,556,000×
30,167,042×
11,545,330×
4,477,222×
2,344,284×
2,168,468×
582,548×
569,078×
85,636×
211,962×
27,412×
2,744×

0s:
1s:
2s:
3s:
4s:
5s:
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17s:
18s:
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20s:
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22s:
23s:
24s:
25s:
26s:
0×
1×
5,727×
6,262,598×
13,458,330×
2,868,469,852×
4,197,012,448×
1,965,393,180×
883,733,438×
672,125,124×
442,111,166×
338,684,504×
202,147,850×
86,847,932×
56,997,366×
77,345,050×
69,368,376×
25,076,660×
6,990,494×
3,326,200×
2,260,642×
547,450×
627,112×
134,694×
233,136×
31,662×
1,488×

0s:
1s:
2s:
3s:
4s:
5s:
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18s:
19s:
20s:
21s:
22s:
23s:
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25s:
26s:
27s:
28s:
29s:
0×
1×
5,333×
6,765,610×
17,900,389×
3,251,266,884×
4,408,690,359×
2,059,495,445×
976,046,651×
764,612,825×
500,411,657×
336,104,095×
191,294,699×
85,400,547×
49,810,119×
52,113,142×
45,727,678×
45,994,694×
22,842,754×
11,485,878×
4,805,570×
5,552,634×
5,843,504×
2,136,454×
939,764×
422,820×
518,958×
46,212×
5,562×
546×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
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14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
0×
1×
7,117×
7,231,796×
15,164,484×
3,359,093,750×
4,883,160,830×
2,286,849,406×
1,037,990,364×
789,177,380×
523,622,090×
391,780,656×
218,892,548×
103,994,046×
68,839,716×
65,433,960×
48,838,608×
19,127,002×
6,054,826×
3,637,064×
3,149,062×
1,453,772×
647,032×
249,368×
16,702×
1,572×

0s:
1s:
2s:
3s:
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5s:
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23s:
24s:
25s:
26s:
27s:
28s:
29s:
30s:
31s:
32s:
33s:
0×
1×
5,620×
7,440,198×
23,256,469×
3,791,167,166×
5,119,733,000×
2,382,418,468×
1,128,009,528×
865,900,593×
538,164,791×
367,263,670×
204,363,756×
87,219,497×
57,284,313×
64,123,802×
50,857,620×
29,867,072×
34,908,716×
44,527,880×
23,727,956×
29,014,510×
18,013,418×
8,845,820×
3,307,058×
3,091,078×
2,468,866×
1,421,954×
297,346×
251,898×
67,784×
9,212×
1,938×
546×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
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18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:
0×
1×
6,187×
7,791,454×
17,124,718×
3,918,525,826×
5,653,040,398×
2,636,535,300×
1,192,720,868×
905,093,014×
591,682,456×
452,643,648×
249,458,262×
105,095,526×
69,965,448×
90,048,758×
69,714,204×
23,858,388×
9,687,320×
5,544,782×
3,336,928×
3,475,396×
812,758×
905,780×
203,586×
248,638×
35,384×
5,438×
334×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
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20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:
29s:
30s:
31s:
0×
1×
5,876×
8,267,514×
22,177,361×
4,409,094,020×
5,925,420,056×
2,745,402,664×
1,288,706,720×
978,946,827×
636,960,637×
479,779,051×
282,381,931×
109,537,143×
65,599,737×
77,827,976×
55,574,188×
38,466,200×
21,573,616×
22,204,366×
15,343,412×
7,154,442×
2,939,700×
2,476,686×
2,255,274×
1,026,312×
195,468×
216,542×
67,784×
9,212×
1,938×
546×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
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18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
0×
1×
6,423×
8,617,466×
20,899,102×
4,560,938,398×
6,528,878,086×
3,029,655,604×
1,370,746,852×
1,050,898,650×
709,440,750×
518,831,778×
288,551,472×
120,314,336×
81,699,914×
90,505,596×
51,627,104×
16,758,176×
5,906,394×
4,838,166×
4,711,382×
1,437,452×
877,488×
230,080×
529,436×
45,846×
7,138×
30×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
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15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
0×
1×
6,200×
9,364,968×
24,541,303×
5,107,660,600×
6,836,809,369×
3,163,606,743×
1,468,289,571×
1,106,948,267×
710,149,641×
528,620,866×
321,642,362×
139,131,909×
94,290,519×
126,845,750×
106,928,730×
39,247,894×
13,793,312×
6,611,410×
5,161,534×
2,161,356×
1,232,774×
411,730×
37,638×
6,744×
594×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
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21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:
29s:
30s:
0×
1×
6,751×
9,444,580×
19,144,460×
5,284,521,056×
7,514,876,240×
3,473,917,342×
1,575,205,450×
1,218,595,050×
785,579,280×
542,828,118×
304,356,590×
133,236,620×
73,984,968×
78,427,860×
68,153,166×
68,019,356×
36,988,622×
17,559,464×
8,330,240×
11,467,226×
10,901,870×
4,450,080×
1,204,994×
1,365,934×
584,680×
165,140×
23,152×
3,672×
158×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
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16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
0×
1×
7,645×
10,570,762×
28,466,218×
5,904,242,742×
7,867,266,822×
3,636,609,769×
1,703,842,075×
1,281,400,639×
827,448,317×
620,993,085×
346,018,051×
167,862,437×
115,901,345×
112,009,830×
79,031,000×
29,073,356×
10,834,846×
6,870,340×
4,813,966×
4,327,784×
1,363,838×
1,186,194×
234,456×
304,960×
40,142×
3,080×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
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24s:
25s:
26s:
27s:
28s:
29s:
30s:
31s:
32s:
33s:
34s:
0×
1×
7,155×
10,820,526×
28,278,370×
6,106,859,410×
8,625,770,936×
3,980,505,628×
1,803,614,980×
1,376,653,110×
836,782,344×
586,957,836×
322,166,596×
134,477,898×
87,589,334×
96,410,338×
78,376,800×
42,615,248×
47,452,106×
63,248,044×
37,176,496×
41,574,444×
27,655,662×
14,234,282×
6,857,546×
6,451,034×
4,655,392×
1,932,800×
432,194×
220,072×
135,198×
132,460×
19,730×
3,672×
158×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
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18s:
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20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
0×
1×
6,599×
11,182,320×
29,812,784×
6,799,515,300×
9,028,042,162×
4,156,596,268×
1,941,835,822×
1,461,167,935×
933,901,513×
698,755,676×
398,836,290×
166,780,965×
114,382,925×
144,720,714×
110,862,188×
36,927,528×
14,632,116×
9,041,750×
7,775,854×
6,909,396×
1,807,408×
1,370,004×
405,792×
648,682×
51,078×
3,476×