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The Pi Permutation

Explanation:

The Pi Permutation p (N, n, k)

N: Know the first N digits of Pi.
N is a multiple of 10, and we admit N = 10, N = 100, N = 5,000, N = 10,000.
Example N = 10: Know the sequence 1415926535.
n: The task is to know n digits which are chosen at random.
We admit n = 1, n = 2, and n = 10.
Example n = 1: What is the digit no. 4? Answer: 5.
Example n = 2: What is the double-digit no. 4? Answer: 65.
Example n = 10: What is the ten-digit no. 4? Answer: 5028841971.
k: The number of questions to be answered.
For N = 10 we admit only n = 1 and k = 10.
For N = 100 we admit n = 1 and k = 10 or k = 100.
For N = 5,000 we admit n = 1, k = 10, k = 100, k = 500 / n = 2, k = 10, k = 100, k = 2,500 / n = 10, k = 10, k = 100, k = 500.
For N = 10,000 we admit n = 1, k = 10, k = 100, k = 10,000 / n = 2, k = 10, k = 100, k = 5,000 / n = 10, k = 10, k = 100, k = 1,000.

Offline:
For every question you are allowed one mistake, but not two mistakes. The mistake must be corrected immediately.

Sport: The overall time needed to accomplish p (N,n,k) counts.

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Records:
Records offline:
P (N = 5,000, n = 2, k = 2,500)
Ulrich Voigt, 2002, June 28 in Matthias-Claudius Gymnasium in Hamburg-Wandsbek. Time: 6h 5m.
Ulrich Voigt, 2003, June 30 in Matthias-Claudius Gymnasium in Hamburg-Wandsbek. Time: 5h 40m.

P (N = 100, n = 1, k = 100)
Ulrich Voigt, 2006, Nov. 6 in Mathematicum Giessen at the Mental Calculation World Cup. Time: 48,43 s.
Ulrich Voigt, 2006, Nov. 6 in Mathematicum Giessen at the mental calculation worls-championship. Time: 48,43 s.
Ulrich Voigt, 2009, July 31, University Hamburg at the German Memory Championships. Time: 44.25s
Ulrich Voigt, 2011, April 12 in Matthias-Claudius Gymnasium in Hamburg-Wandsbek. Time: 42.14s.
Ulrich Voigt, 2011, July 10 in RenMin DaXue, Beijing at the end of a lecture "From Matteo Ricci to modern Memory Sport". Time: 41.14s.
Ulrich Voigt, 2011, Sep. 24 in Rome at the Speed Memory Championships. Time: 39.42s.
Ulrich Voigt, 2013, October 6 in Lisboa at the Speed Memory World Championships. Time: 38.86s.
Fabian Saal, 2015, May 23, in Wuerzburg, Germany, at the Sueddeutsche Gedaechtnismeisterschaft. Time: 35.88 seconds

Online:
The "best 20" for these disciplines you can find on www.pi-sport.eu.
You can register on this page and get a ranking. On this website you find more detailed information in several languages.

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