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| 1 | +<h2><a href="https://leetcode.com/problems/minimum-number-of-increments-on-subarrays-to-form-a-target-array">1633. Minimum Number of Increments on Subarrays to Form a Target Array</a></h2><h3>Hard</h3><hr><p>You are given an integer array <code>target</code>. You have an integer array <code>initial</code> of the same size as <code>target</code> with all elements initially zeros.</p> |
| 2 | + |
| 3 | +<p>In one operation you can choose <strong>any</strong> subarray from <code>initial</code> and increment each value by one.</p> |
| 4 | + |
| 5 | +<p>Return <em>the minimum number of operations to form a </em><code>target</code><em> array from </em><code>initial</code>.</p> |
| 6 | + |
| 7 | +<p>The test cases are generated so that the answer fits in a 32-bit integer.</p> |
| 8 | + |
| 9 | +<p> </p> |
| 10 | +<p><strong class="example">Example 1:</strong></p> |
| 11 | + |
| 12 | +<pre> |
| 13 | +<strong>Input:</strong> target = [1,2,3,2,1] |
| 14 | +<strong>Output:</strong> 3 |
| 15 | +<strong>Explanation:</strong> We need at least 3 operations to form the target array from the initial array. |
| 16 | +[<strong><u>0,0,0,0,0</u></strong>] increment 1 from index 0 to 4 (inclusive). |
| 17 | +[1,<strong><u>1,1,1</u></strong>,1] increment 1 from index 1 to 3 (inclusive). |
| 18 | +[1,2,<strong><u>2</u></strong>,2,1] increment 1 at index 2. |
| 19 | +[1,2,3,2,1] target array is formed. |
| 20 | +</pre> |
| 21 | + |
| 22 | +<p><strong class="example">Example 2:</strong></p> |
| 23 | + |
| 24 | +<pre> |
| 25 | +<strong>Input:</strong> target = [3,1,1,2] |
| 26 | +<strong>Output:</strong> 4 |
| 27 | +<strong>Explanation:</strong> [<strong><u>0,0,0,0</u></strong>] -> [1,1,1,<strong><u>1</u></strong>] -> [<strong><u>1</u></strong>,1,1,2] -> [<strong><u>2</u></strong>,1,1,2] -> [3,1,1,2] |
| 28 | +</pre> |
| 29 | + |
| 30 | +<p><strong class="example">Example 3:</strong></p> |
| 31 | + |
| 32 | +<pre> |
| 33 | +<strong>Input:</strong> target = [3,1,5,4,2] |
| 34 | +<strong>Output:</strong> 7 |
| 35 | +<strong>Explanation:</strong> [<strong><u>0,0,0,0,0</u></strong>] -> [<strong><u>1</u></strong>,1,1,1,1] -> [<strong><u>2</u></strong>,1,1,1,1] -> [3,1,<strong><u>1,1,1</u></strong>] -> [3,1,<strong><u>2,2</u></strong>,2] -> [3,1,<strong><u>3,3</u></strong>,2] -> [3,1,<strong><u>4</u></strong>,4,2] -> [3,1,5,4,2]. |
| 36 | +</pre> |
| 37 | + |
| 38 | +<p> </p> |
| 39 | +<p><strong>Constraints:</strong></p> |
| 40 | + |
| 41 | +<ul> |
| 42 | + <li><code>1 <= target.length <= 10<sup>5</sup></code></li> |
| 43 | + <li><code>1 <= target[i] <= 10<sup>5</sup></code></li> |
| 44 | +</ul> |
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