mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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174 lines
18 KiB
JSON
174 lines
18 KiB
JSON
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"title": "Maximum Height of a Triangle",
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"content": "<p>You are given two integers <code>red</code> and <code>blue</code> representing the count of red and blue colored balls. You have to arrange these balls to form a triangle such that the 1<sup>st</sup> row will have 1 ball, the 2<sup>nd</sup> row will have 2 balls, the 3<sup>rd</sup> row will have 3 balls, and so on.</p>\n\n<p>All the balls in a particular row should be the <strong>same</strong> color, and adjacent rows should have <strong>different</strong> colors.</p>\n\n<p>Return the <strong>maximum</strong><em> height of the triangle</em> that can be achieved.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">red = 2, blue = 4</span></p>\n\n<p><strong>Output:</strong> 3</p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/16/brb.png\" style=\"width: 300px; height: 240px; padding: 10px;\" /></p>\n\n<p>The only possible arrangement is shown above.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">red = 2, blue = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/16/br.png\" style=\"width: 150px; height: 135px; padding: 10px;\" /><br />\nThe only possible arrangement is shown above.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">red = 1, blue = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n</div>\n\n<p><strong class=\"example\">Example 4:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">red = 10, blue = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/16/br.png\" style=\"width: 150px; height: 135px; padding: 10px;\" /><br />\nThe only possible arrangement is shown above.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= red, blue <= 100</code></li>\n</ul>\n",
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"code": "class Solution {\n\n /**\n * @param Integer $red\n * @param Integer $blue\n * @return Integer\n */\n function maxHeightOfTriangle($red, $blue) {\n \n }\n}",
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"hints": [
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"Count the max height using both possibilities. That is, red ball as top and blue ball as top.",
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"For counting the max height, use a simple for loop and remove the number of balls required at this level."
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