# LeetCode 800. Similar RGB Color

## Description

https://leetcode.com/problems/similar-rgb-color/

The red-green-blue color `"#AABBCC"` can be written as `"#ABC"` in shorthand.

• For example, `"#15c"` is shorthand for the color `"#1155cc"`.

The similarity between the two colors `"#ABCDEF"` and `"#UVWXYZ"` is `-(AB - UV)2 - (CD - WX)2 - (EF - YZ)2`.

Given a string `color` that follows the format `"#ABCDEF"`, return a string represents the color that is most similar to the given color and has a shorthand (i.e., it can be represented as some `"#XYZ"`).

Any answer which has the same highest similarity as the best answer will be accepted.

Example 1:

```Input: color = "#09f166"
Output: "#11ee66"
Explanation:
The similarity is -(0x09 - 0x11)2 -(0xf1 - 0xee)2 - (0x66 - 0x66)2 = -64 -9 -0 = -73.
This is the highest among any shorthand color.
```

Example 2:

```Input: color = "#4e3fe1"
Output: "#5544dd"
```

Constraints:

• `color.length == 7`
• `color == '#'`
• `color[i]` is either digit or character in the range `['a', 'f']` for `i > 0`.

## Explanation

Since we only need to find the closest colors with shorthand, we can list out all shorthand hex codes and find out the closest hex code combination to the given color.

## Python Solution

``````class Solution:
def similarRGB(self, color: str) -> str:

def get_closest(s):
return min(['00', '11', '22', '33', '44', '55', '66', '77', '88', '99', 'aa', 'bb', 'cc', 'dd', 'ee', 'ff'], key=lambda x: abs(int(s, 16) - int(x, 16)))

results = [get_closest(color[i:i + 2]) for i in range(1, len(color), 2)]

return '#' + ''.join(results)``````
• Time Complexity: O(N).
• Space Complexity: O(N).