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54 lines
1.9 KiB
HTML
54 lines
1.9 KiB
HTML
<p>You are given an integer array <code>nums</code> and an integer <code>k</code>. Your task is to partition <code>nums</code> into one or more <strong>non-empty</strong> contiguous segments such that in each segment, the difference between its <strong>maximum</strong> and <strong>minimum</strong> elements is <strong>at most</strong> <code>k</code>.</p>
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<p>Return the total number of ways to partition <code>nums</code> under this condition.</p>
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<p>Since the answer may be too large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">nums = [9,4,1,3,7], k = 4</span></p>
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<p><strong>Output:</strong> <span class="example-io">6</span></p>
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<p><strong>Explanation:</strong></p>
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<p>There are 6 valid partitions where the difference between the maximum and minimum elements in each segment is at most <code>k = 4</code>:</p>
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<ul>
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<li><code>[[9], [4], [1], [3], [7]]</code></li>
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<li><code>[[9], [4], [1], [3, 7]]</code></li>
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<li><code>[[9], [4], [1, 3], [7]]</code></li>
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<li><code>[[9], [4, 1], [3], [7]]</code></li>
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<li><code>[[9], [4, 1], [3, 7]]</code></li>
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<li><code>[[9], [4, 1, 3], [7]]</code></li>
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</ul>
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</div>
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<p><strong class="example">Example 2:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">nums = [3,3,4], k = 0</span></p>
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<p><strong>Output:</strong> <span class="example-io">2</span></p>
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<p><strong>Explanation:</strong></p>
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<p>There are 2 valid partitions that satisfy the given conditions:</p>
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<ul>
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<li><code>[[3], [3], [4]]</code></li>
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<li><code>[[3, 3], [4]]</code></li>
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</ul>
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</div>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>2 <= nums.length <= 5 * 10<sup>4</sup></code></li>
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<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>
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<li><code>0 <= k <= 10<sup>9</sup></code></li>
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</ul>
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