## CCC '12 S1 - Don't pass me the ball!

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Points: 3
Time limit: 2.0s
Memory limit: 256M

Problem type
##### Canadian Computing Competition: 2012 Stage 1, Senior #1

A CCC soccer game operates under slightly different soccer rules. A goal is only counted if the players, in order, who touched the ball prior to the goal have jersey numbers that are in strictly increasing numeric order with the highest number being the goal scorer.

Players have jerseys numbered from to (and each jersey number is worn by exactly one player).

Given a jersey number of the goal scorer, indicate how many possible combinations of players can produce a valid goal.

#### Input Specification

The input will be the positive integer (), which is the jersey number of the goal scorer.

#### Output Specification

The output will be one line containing the number of possible scoring combinations that could have as the goal scoring jersey number.

#### Sample Input 1

4

#### Output for Sample Input 1

1

#### Sample Input 2

2

#### Output for Sample Input 2

0

#### Sample Input 3

90

#### Output for Sample Input 3

113564

• commented on Jan. 10, 2023, 11:35 p.m.

As someone who didn't know the math needed for this problem, it took me longer to solve than the S5 of this contest.

• commented on Jan. 15, 2023, 5:40 p.m.

I'm pretty concerned about the upcoming contest...... If the question takes 30 minutes for me to read or it involves maths like this, I'm basically screwed.

• commented on Jan. 26, 2021, 10:38 p.m.

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

• commented on Oct. 2, 2020, 6:30 p.m.

These CCC soccer game rules suck. If one of your players are sick, no way to score a goal.

• commented on Jan. 22, 2021, 12:44 a.m.

If one of your player is sick, the whole stadium will be tested for COVID