leetcode-problemset/leetcode-cn/originData/count-partitions-with-even-sum-difference.json

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            "title": "Count Partitions with Even Sum Difference",
            "titleSlug": "count-partitions-with-even-sum-difference",
            "content": "<p>You are given an integer array <code>nums</code> of length <code>n</code>.</p>\n\n<p>A <strong>partition</strong> is defined as an index <code>i</code> where <code>0 &lt;= i &lt; n - 1</code>, splitting the array into two <strong>non-empty</strong> subarrays such that:</p>\n\n<ul>\n\t<li>Left subarray contains indices <code>[0, i]</code>.</li>\n\t<li>Right subarray contains indices <code>[i + 1, n - 1]</code>.</li>\n</ul>\n\n<p>Return the number of <strong>partitions</strong> where the <strong>difference</strong> between the <strong>sum</strong> of the left and right subarrays is <strong>even</strong>.</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\">nums = [10,10,3,7,6]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The 4 partitions are:</p>\n\n<ul>\n\t<li><code>[10]</code>, <code>[10, 3, 7, 6]</code> with a sum difference of <code>10 - 26 = -16</code>, which is even.</li>\n\t<li><code>[10, 10]</code>, <code>[3, 7, 6]</code> with a sum difference of <code>20 - 16 = 4</code>, which is even.</li>\n\t<li><code>[10, 10, 3]</code>, <code>[7, 6]</code> with a sum difference of <code>23 - 13 = 10</code>, which is even.</li>\n\t<li><code>[10, 10, 3, 7]</code>, <code>[6]</code> with a sum difference of <code>30 - 6 = 24</code>, which is even.</li>\n</ul>\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\">nums = [1,2,2]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>No partition results in an even sum difference.</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\">nums = [2,4,6,8]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>All partitions result in an even sum difference.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n == nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "统计元素和差值为偶数的分区方案",
            "translatedContent": "<p>给你一个长度为 <code>n</code>&nbsp;的整数数组&nbsp;<code>nums</code>&nbsp;。</p>\n\n<p><strong>分区</strong>&nbsp;是指将数组按照下标&nbsp;<code>i</code>&nbsp;（<code>0 &lt;= i &lt; n - 1</code>）划分成两个 <strong>非空</strong> 子数组，其中：</p>\n\n<ul>\n\t<li>左子数组包含区间&nbsp;<code>[0, i]</code>&nbsp;内的所有下标。</li>\n\t<li>右子数组包含区间&nbsp;<code>[i + 1, n - 1]</code>&nbsp;内的所有下标。</li>\n</ul>\n\n<p>对左子数组和右子数组先求元素 <strong>和</strong> 再做 <strong>差</strong> ，统计并返回差值为 <strong>偶数</strong> 的 <strong>分区</strong> 方案数。</p>\n\n<p>&nbsp;</p>\n\n<p><b>示例 1：</b></p>\n\n<div class=\"example-block\">\n<p><b>输入：</b><span class=\"example-io\">nums = [10,10,3,7,6]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>4</span></p>\n\n<p><b>解释：</b></p>\n\n<p>共有 4 个满足题意的分区方案：</p>\n\n<ul>\n\t<li><code>[10]</code>、<code>[10, 3, 7, 6]</code>&nbsp;元素和的差值为&nbsp;<code>10 - 26 = -16</code>&nbsp;，是偶数。</li>\n\t<li><code>[10, 10]</code>、<code>[3, 7, 6]</code> 元素和的差值为&nbsp;<code>20 - 16 = 4</code>，是偶数。</li>\n\t<li><code>[10, 10, 3]</code>、<code>[7, 6]</code> 元素和的差值为&nbsp;<code>23 - 13 = 10</code>，是偶数。</li>\n\t<li><code>[10, 10, 3, 7]</code>、<code>[6]</code> 元素和的差值为&nbsp;<code>30 - 6 = 24</code>，是偶数。</li>\n</ul>\n</div>\n\n<p><b>示例 2：</b></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [1,2,2]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>0</span></p>\n\n<p><b>解释：</b></p>\n\n<p>不存在元素和的差值为偶数的分区方案。</p>\n</div>\n\n<p><b>示例 3：</b></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [2,4,6,8]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>3</span></p>\n\n<p><b>解释：</b></p>\n\n<p>所有分区方案都满足元素和的差值为偶数。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><b>提示：</b></p>\n\n<ul>\n\t<li><code>2 &lt;= n == nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n</ul>\n",
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