Input: red = 2, blue = 4
\n\nOutput: 3
\n\nExplanation:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2024/06/16/brb.png\")
The only possible arrangement is shown above.
\nYou are given two integers red and blue representing the count of red and blue colored balls. You have to arrange these balls to form a triangle such that the 1st row will have 1 ball, the 2nd row will have 2 balls, the 3rd row will have 3 balls, and so on.
All the balls in a particular row should be the same color, and adjacent rows should have different colors.
\n\nReturn the maximum height of the triangle that can be achieved.
\n\n\n
Example 1:
\n\nInput: red = 2, blue = 4
\n\nOutput: 3
\n\nExplanation:
\n\n
The only possible arrangement is shown above.
\nExample 2:
\n\nInput: red = 2, blue = 1
\n\nOutput: 2
\n\nExplanation:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2024/06/16/br.png\")
\nThe only possible arrangement is shown above.
Example 3:
\n\nInput: red = 1, blue = 1
\n\nOutput: 1
\nExample 4:
\n\nInput: red = 10, blue = 1
\n\nOutput: 2
\n\nExplanation:
\n\n
\nThe only possible arrangement is shown above.
\n
Constraints:
\n\n1 <= red, blue <= 100Compiled with clang 17 using the latest C++ 23 standard, and libstdc++ provided by GCC 13.
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