CCC '10 J1 - What is n, Daddy?

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Points: 3
Time limit: 2.0s
Memory limit: 256M
Problem type
Canadian Computing Competition: 2010 Stage 1, Junior #1

Natalie is learning to count on her fingers. When her Daddy tells her a number n (1 \le n \le 10), she asks "What is n, Daddy?", by which she means "How many fingers should I hold up on each hand so that the total is n?"

To make matters simple, her Daddy gives her the correct finger representation according to the following rules:

  • the number may be represented on one or two hands;
  • if the number is represented on two hands, the larger number is given first.

For example, if Natalie asks "What is 4, Daddy?", her Dad may reply:

  • 4 is 4.
  • 4 is 3 and 1.
  • 4 is 2 and 2.

Your job is to make sure that Natalie's Daddy gives the correct number of answers.

Input Specification

The input will be a single integer i such that 1 \le i \le 10.

Output Specification

The output is the number of ways of producing that number on two hands, subject to the rules outlined above.

Sample Input

4

Output for Sample Input

3

Comments


  • 0
    Starfrost  commented on Jan. 20, 2023, 9:16 p.m.

    This task turned out to be way harder than I initially thought it would be.


  • 1
    Haoyun  commented on Oct. 12, 2021, 2:01 p.m.

    I did this wrong and tried to figure out what was wrong when I input 11 than I saw that hint and got the maximum amount of points!


  • 2
    Marshmellon  commented on March 9, 2021, 1:39 p.m.

    Can't you just use a 10 branch if statement for all the number of fingers.


    • -7
      Lego1024  commented on April 3, 2021, 8:17 a.m.

      This comment is hidden due to too much negative feedback. Show it anyway.


  • 1
    devarshi  commented on May 13, 2020, 3:20 a.m.

    Would you show 5 on the right hand and then on the left? Does that count as 1 possibility?


    • 3
      hjanday  commented on May 13, 2020, 2:28 p.m.

      Any duplicate cases would only be counted once.


  • 11
    alihu264  commented on April 27, 2020, 12:48 a.m.

    how did I get stumped for 20 minutes on a 3 pointer


  • 3
    jorispos  commented on Feb. 19, 2019, 11:32 p.m.

    Can anyone check my solution? Is there any other (maybe mathematical) way to solve this?


    • 5
      kingW3  commented on Feb. 20, 2019, 12:02 a.m.

      If you're looking for more mathematical solution try thinking about the same problem but make the number of fingers also a parameter. Instead of it being 5 and make n\leq2k.


  • 159
    CarolChen  commented on Feb. 15, 2016, 4:55 p.m. ← edited

    Could not figure out what I was doing wrong then I remembered we have only 5 fingers.


    • 15
      MakanDey  commented on Feb. 22, 2018, 4:29 p.m.

      Oh darn I thought I had 40.


    • 5
      retronerd2016  commented on Nov. 2, 2017, 9:52 p.m.

      wait hold on the example says 3, what does 3 mean


      • 17
        xxsc  commented on July 4, 2018, 3:19 a.m. ← edited

        3 is the number of ways to show 4.

        4 is 4 is one way.

        4 is 3 and 1 is another.

        4 is 2 and 2 is the last one, because saying 4 is 1 and 3 would be the same as saying 4 is 3 and 1. Same goes with 4 is 0 and 4.

        EDIT:

        Yes CarolChen that is helpful.


    • 9
      Alicia  commented on Nov. 1, 2017, 3:59 a.m.

      @ CarolChen that's a very helpful hint, thanks


    • 10
      Epic1Online  commented on Oct. 30, 2017, 8:25 p.m.

      That was a very helpful comment thanks!