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 (), she asks "What is , Daddy?", by which she means "How many fingers should I hold up on each hand so that the total is ?"

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.

• is .
• is and .
• is and .

Input Specification

The input will be a single integer such that .

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

• commented on May 19, 2024, 11:48 p.m.

Does anyone else think they're overcomplicating this?

• commented on Jan. 10, 2024, 6:32 p.m.

Did i just do a bunch of if else statements? maybe. Did I get 100%? yes.

• commented on Jan. 26, 2024, 12:08 a.m.

fax

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

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

• 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 .

• 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.

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

Oh darn I thought I had 40.

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

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

• 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: