Distribute Items Problem Statement

Calculate the number of ways to distribute a given number of items 'N' among three people such that each person gets at least one item, and only one person receives the maximum number of items.

Input:

N # Total number of items

Output:

ways # Total number of distribution ways

Example:

Input:

7

Output:

Number of ways to distribute items

Constraints:

0

Question

Distribute Items Problem Statement

Calculate the number of ways to distribute a given number of items 'N' among three people such that each person gets at least one item, and only one person receives the maximum number of items.

Input:

N    # Total number of items

Output:

ways    # Total number of distribution ways

Example:

Input:

Output:

Number of ways to distribute items

Constraints:

0 <= N <= 10^9
Time Limit: 1 second

Note:

You do not need to print anything explicitly; the function handles output. Implement the function to compute the answer.

Accepted Answer

Calculate the number of ways to distribute items among three people with constraints.

Start by distributing one item to each person, then distribute the remaining items to one person.
Use combinatorics to calculate the number of ways to distribute the remaining items to one person.
Consider edge cases like when N is less than 3 or when N is equal to 3.
Example: For N=7, distribute 1 item to each person and then distribute the remaining 4 items to one person in 4 ways.

Distribute Items Problem Statement

Input:

Output:

Example:

Input:

Output:

Constraints:

Note:

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