How to Solve Number of Ways to Rearrange Sticks With K Sticks Visible Leetcode Problem - Interview Coder Guide
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How to Solve Number of Ways to Rearrange Sticks With K Sticks Visible Problem

Master the Number of Ways to Rearrange Sticks With K Sticks Visible LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Hard#1996
LeetCode Problem

Number of Ways to Rearrange Sticks With K Sticks Visible

There are n uniquely-sized sticks whose lengths are integers from 1 to n. You want to arrange the sticks such that exactly k sticks are visible from the left. A stick is visible from the left if there...

MathDynamic ProgrammingCombinatorics

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Problem Breakdown

Understanding the Number of Ways to Rearrange Sticks With K Sticks Visible Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

There are n uniquely-sized sticks whose lengths are integers from 1 to n. You want to arrange the sticks such that exactly k sticks are visible from the left. A stick is visible from the left if there are no longer sticks to the left of it. For example, if the sticks are arranged [1,3,2,5,4], then the sticks with lengths 1, 3, and 5 are visible from the left. Given n and k, return the number of such arrangements. Since the answer may be large, return it modulo 109 + 7.

HardProblem #1996
LeetCode

Number of Ways to Rearrange Sticks With K Sticks Visible

Related Topics
MathDynamic ProgrammingCombinatorics
How Interview Coder Helps

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Examples

Example 1
INPUT
n = 3, k = 2
OUTPUT
3
EXPLANATION

[1,3,2], [2,3,1], and [2,1,3] are the only arrangements such that exactly 2 sticks are visible. The visible sticks are underlined.

Example 2
INPUT
n = 5, k = 5
OUTPUT
1
EXPLANATION

[1,2,3,4,5] is the only arrangement such that all 5 sticks are visible. The visible sticks are underlined.

Example 3
INPUT
n = 20, k = 11
OUTPUT
647427950
EXPLANATION

There are 647427950 (mod 109 + 7) ways to rearrange the sticks such that exactly 11 sticks are visible.

Constraints

1 <= n <= 1000
1 <= k <= n

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