Skip to content

Practice Count Collisions of Monkeys on a Polygon

Read the task, work through the examples, and check your approach against the constraints. Use the original LeetCode task for coding and submissions.

Medium#2550
LeetCode Problem

Count Collisions of Monkeys on a Polygon

Problem Statement

One monkey starts at each vertex of a regular n-sided polygon. All simultaneously choose one of their two neighboring vertices and move there. A collision means meeting at a destination or crossing along an edge. Count movement choices producing at least one collision, modulo 10^9 + 7.

Source: Count Collisions of Monkeys on a Polygon on LeetCode. Use the original task for its coding environment and submissions.

Examples

# Example 1

Input
n = 3
Output
6

# Example 2

Input
n = 4
Output
14

Constraints

3 <= n <= 10^9

Related LeetCode Problems

Practice more problems similar to Count Collisions of Monkeys on a Polygon.

Review your practice with PhantomCodeAI

After trying the problem yourself, use the app to discuss your approach, complexity, and edge cases.