leetcode-problemset/leetcode-cn/originData/maximum-height-of-a-triangle.json

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            "title": "Maximum Height of a Triangle",
            "titleSlug": "maximum-height-of-a-triangle",
            "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>&nbsp;</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>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= red, blue &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "三角形的最大高度",
            "translatedContent": "<p>给你两个整数 <code>red</code> 和 <code>blue</code>，分别表示红色球和蓝色球的数量。你需要使用这些球来组成一个三角形，满足第 1 行有 1 个球，第 2 行有 2 个球，第 3 行有 3 个球，依此类推。</p>\n\n<p>每一行的球必须是 <strong>相同 </strong>颜色，且相邻行的颜色必须<strong> 不同</strong>。</p>\n\n<p>返回可以实现的三角形的 <strong>最大 </strong>高度。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">red = 2, blue = 4</span></p>\n\n<p><strong>输出：</strong> 3</p>\n\n<p><strong>解释：</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>上图显示了唯一可能的排列方式。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">red = 2, blue = 1</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>解释：</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 />\n上图显示了唯一可能的排列方式。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">red = 1, blue = 1</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">1</span></p>\n</div>\n\n<p><strong class=\"example\">示例 4：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">red = 10, blue = 1</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>解释：</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 />\n上图显示了唯一可能的排列方式。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= red, blue &lt;= 100</code></li>\n</ul>\n",
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