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| 1 | +<h2><a href="https://leetcode.com/problems/count-partitions-with-even-sum-difference">3704. Count Partitions with Even Sum Difference</a></h2><h3>Easy</h3><hr><p>You are given an integer array <code>nums</code> of length <code>n</code>.</p> |
| 2 | + |
| 3 | +<p>A <strong>partition</strong> is defined as an index <code>i</code> where <code>0 <= i < n - 1</code>, splitting the array into two <strong>non-empty</strong> subarrays such that:</p> |
| 4 | + |
| 5 | +<ul> |
| 6 | + <li>Left subarray contains indices <code>[0, i]</code>.</li> |
| 7 | + <li>Right subarray contains indices <code>[i + 1, n - 1]</code>.</li> |
| 8 | +</ul> |
| 9 | + |
| 10 | +<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> |
| 11 | + |
| 12 | +<p> </p> |
| 13 | +<p><strong class="example">Example 1:</strong></p> |
| 14 | + |
| 15 | +<div class="example-block"> |
| 16 | +<p><strong>Input:</strong> <span class="example-io">nums = [10,10,3,7,6]</span></p> |
| 17 | + |
| 18 | +<p><strong>Output:</strong> <span class="example-io">4</span></p> |
| 19 | + |
| 20 | +<p><strong>Explanation:</strong></p> |
| 21 | + |
| 22 | +<p>The 4 partitions are:</p> |
| 23 | + |
| 24 | +<ul> |
| 25 | + <li><code>[10]</code>, <code>[10, 3, 7, 6]</code> with a sum difference of <code>10 - 26 = -16</code>, which is even.</li> |
| 26 | + <li><code>[10, 10]</code>, <code>[3, 7, 6]</code> with a sum difference of <code>20 - 16 = 4</code>, which is even.</li> |
| 27 | + <li><code>[10, 10, 3]</code>, <code>[7, 6]</code> with a sum difference of <code>23 - 13 = 10</code>, which is even.</li> |
| 28 | + <li><code>[10, 10, 3, 7]</code>, <code>[6]</code> with a sum difference of <code>30 - 6 = 24</code>, which is even.</li> |
| 29 | +</ul> |
| 30 | +</div> |
| 31 | + |
| 32 | +<p><strong class="example">Example 2:</strong></p> |
| 33 | + |
| 34 | +<div class="example-block"> |
| 35 | +<p><strong>Input:</strong> <span class="example-io">nums = [1,2,2]</span></p> |
| 36 | + |
| 37 | +<p><strong>Output:</strong> <span class="example-io">0</span></p> |
| 38 | + |
| 39 | +<p><strong>Explanation:</strong></p> |
| 40 | + |
| 41 | +<p>No partition results in an even sum difference.</p> |
| 42 | +</div> |
| 43 | + |
| 44 | +<p><strong class="example">Example 3:</strong></p> |
| 45 | + |
| 46 | +<div class="example-block"> |
| 47 | +<p><strong>Input:</strong> <span class="example-io">nums = [2,4,6,8]</span></p> |
| 48 | + |
| 49 | +<p><strong>Output:</strong> <span class="example-io">3</span></p> |
| 50 | + |
| 51 | +<p><strong>Explanation:</strong></p> |
| 52 | + |
| 53 | +<p>All partitions result in an even sum difference.</p> |
| 54 | +</div> |
| 55 | + |
| 56 | +<p> </p> |
| 57 | +<p><strong>Constraints:</strong></p> |
| 58 | + |
| 59 | +<ul> |
| 60 | + <li><code>2 <= n == nums.length <= 100</code></li> |
| 61 | + <li><code>1 <= nums[i] <= 100</code></li> |
| 62 | +</ul> |
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