How to Solve Two Furthest Houses With Different Colors Problem
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Two Furthest Houses With Different Colors
There are n houses evenly lined up on the street, and each house is beautifully painted. You are given a 0-indexed integer array colors of length n, where colors[i] represents the color of the ith hou...
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Understanding the Two Furthest Houses With Different Colors Problem
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Problem Statement
There are n houses evenly lined up on the street, and each house is beautifully painted. You are given a 0-indexed integer array colors of length n, where colors[i] represents the color of the ith house. Return the maximum distance between two houses with different colors. The distance between the ith and jth houses is abs(i - j), where abs(x) is the absolute value of x.
Two Furthest Houses With Different Colors
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Examples
colors = [1,1,1,6,1,1,1]
3
In the above image, color 1 is blue, and color 6 is red. The furthest two houses with different colors are house 0 and house 3. House 0 has color 1, and house 3 has color 6. The distance between them is abs(0 - 3) = 3. Note that houses 3 and 6 can also produce the optimal answer.
colors = [1,8,3,8,3]
4
In the above image, color 1 is blue, color 8 is yellow, and color 3 is green. The furthest two houses with different colors are house 0 and house 4. House 0 has color 1, and house 4 has color 3. The distance between them is abs(0 - 4) = 4.
colors = [0,1]
1
The furthest two houses with different colors are house 0 and house 1. House 0 has color 0, and house 1 has color 1. The distance between them is abs(0 - 1) = 1.
Constraints
n == colors.length
2 <= n <= 100
0 <= colors[i] <= 100
Test data are generated such that at least two houses have different colors.
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