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Re: how to calculate an index and vice versa

  • To: mathgroup at smc.vnet.net
  • Subject: [mg119288] Re: how to calculate an index and vice versa
  • From: Ray Koopman <koopman at sfu.ca>
  • Date: Sun, 29 May 2011 07:36:26 -0400 (EDT)
  • References: <irqlpg$e9a$1@smc.vnet.net>

On May 28, 4:20 am, ferradini <gianmarco.ferrad... at email.it> wrote:
> given n numbers (eg. 1 to 90)
> I can build the following list of numbers k (in this case 4)
>
> 1, 2, 3, 4 associated index -> 0
> 1, 2, 3, 5 associated index -> 1
> 1, 2, 3, 6 associated index -> 2
> 1, 2, 3, 7 associated index -> 3
> 1, 2, 3, 8 ................... ....
> 1, 2, 3, 9 .......................
> .......................
> .......................
> 10, 41, 60, 61 associated index -> 954722
> .......................
> .......................
> 87, 88, 89, 90 associated index -> 2555190
> I need to build an algorithm to assign eg 4 elemnti can obtain its index
> in the list
> (1, 2, 3, 7 return 3)
>
> The second algorithm is 'inverse: given a number such as 954722 I get
> the four elements 87; 88, 89, 90.
> The elemnti in the list are always sorted values.
>
> I thank those who will send me information on the subject to follow
> Thank ferradini

You want RankKSubset and UnrankKSubset, in Combinatorica.


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