2021 colored kangaroos are arranged in a row and are numbered from 1 to 2021. each kangaroo is colored either red, grey, or blue. amongst any three consecutive kangaroos, there are always of all three colors

2021 colored kangaroos are arranged in a row and are numbered from 1 to 2021. each kangaroo is colored either red, grey, or blue. amongst any three consecutive kangaroos, there are always of all three colors. badr guesses the colors of five kangaroos. these are his guesses: kangaroo no. 2 is grey kangaroo no. 20 is blue kangaroo no. 202 is red kangaroo no. 1002 is blue kangaroo no. 2021 is grey Only one of his guesses is wrong, which one?

All the kangaroos on AKSF Island are either grey or green. Every time when the clock strikes midnight, some of the kangaroos change their colors. Yesterday, there were 6 grey kangaroos for every 5 green ones. Today, there are 3 grey ones for every 4 green ones. What is the smallest possible number of kangaroos that changed the color overnight?

A kangaroo has a large collection of small 1 × 1 × 1 cubes. Each cube is painted one color. The kangaroo wants to construct a cube using 27 small cubes in such a way that any two small cubes sharing a vertex are of different colors. At least how many different colors must the kangaroo use?

There is a circle of red and blue tiles. You are given an array of integers colors. The color of tile i is represented by colors[i]:colors[i] == 0 means that tile i is red.colors[i] == 1 means that tile i is blue.Every 3 contiguous tiles in the circle with alternating colors (the middle tile has a different color from its left and right tiles) is called an alternating group.Return the number of alternating groups.Note that since colors represents a circle, the first and the last tiles are considered to be next to each other. Example 1:Input: colors = [1,1,1]Output: 0Explanation:Example 2:Input: colors = [0,1,0,0,1]Output: 3Explanation:Alternating groups: Constraints:3 <= colors.length <= 1000 <= colors[i] <= 1

Sidney bought 5 new shirts at the store today, and she plans to pack 3 of them to wear on a trip that will last 3 days. How many sequences of 3 shirts are possible?