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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.

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 diagram

Example 1

Input: colors = [1,1,1,6,1,1,1]

Output: 3

Explanation: 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.

Example 2

Input: colors = [1,8,3,8,3]

Output: 4

Explanation: 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.

Example 3

Input: colors = [0,1]

Output: 1

Explanation: 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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