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<p>You are given a <strong>0-indexed</strong> array of integers <code>nums</code> of length <code>n</code>, and a <strong>positive</strong> <strong>odd</strong> integer <code>k</code>.</p>
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<p>The strength of <code>x</code> subarrays is defined as <code>strength = sum[1] * x - sum[2] * (x - 1) + sum[3] * (x - 2) - sum[4] * (x - 3) + ... + sum[x] * 1</code> where <code>sum[i]</code> is the sum of the elements in the <code>i<sup>th</sup></code> subarray. Formally, strength is sum of <code>(-1)<sup>i+1</sup> * sum[i] * (x - i + 1)</code> over all <code>i</code>'s such that <code>1 <= i <= x</code>.</p>
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<p>You need to select <code>k</code> <strong>disjoint <span data-keyword="subarray-nonempty">subarrays</span></strong> from <code>nums</code>, such that their <strong>strength</strong> is <strong>maximum</strong>.</p>
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<p>Return <em>the <strong>maximum</strong> possible <strong>strength</strong> that can be obtained</em>.</p>
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<p><strong>Note</strong> that the selected subarrays <strong>don't</strong> need to cover the entire array.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [1,2,3,-1,2], k = 3
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<strong>Output:</strong> 22
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<strong>Explanation:</strong> The best possible way to select 3 subarrays is: nums[0..2], nums[3..3], and nums[4..4]. The strength is (1 + 2 + 3) * 3 - (-1) * 2 + 2 * 1 = 22.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [12,-2,-2,-2,-2], k = 5
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<strong>Output:</strong> 64
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<strong>Explanation:</strong> The only possible way to select 5 disjoint subarrays is: nums[0..0], nums[1..1], nums[2..2], nums[3..3], and nums[4..4]. The strength is 12 * 5 - (-2) * 4 + (-2) * 3 - (-2) * 2 + (-2) * 1 = 64.
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [-1,-2,-3], k = 1
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<strong>Output:</strong> -1
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<strong>Explanation:</strong> The best possible way to select 1 subarray is: nums[0..0]. The strength is -1.
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</pre>
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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>1 <= n <= 10<sup>4</sup></code></li>
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<li><code>-10<sup>9</sup> <= nums[i] <= 10<sup>9</sup></code></li>
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<li><code>1 <= k <= n</code></li>
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<li><code>1 <= n * k <= 10<sup>6</sup></code></li>
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<li><code>k</code> is odd.</li>
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</ul>
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<p>You are given a <strong>0-indexed</strong> integer matrix <code>grid</code> and an integer <code>k</code>.</p>
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<p>Return <em>the <strong>number</strong> of <span data-keyword="submatrix">submatrices</span> that contain the top-left element of the</em> <code>grid</code>, <em>and have a sum less than or equal to </em><code>k</code>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2024/01/01/example1.png" style="padding: 10px; background: #fff; border-radius: .5rem;" />
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<pre>
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<strong>Input:</strong> grid = [[7,6,3],[6,6,1]], k = 18
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<strong>Output:</strong> 4
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<strong>Explanation:</strong> There are only 4 submatrices, shown in the image above, that contain the top-left element of grid, and have a sum less than or equal to 18.</pre>
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<p><strong class="example">Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2024/01/01/example21.png" style="padding: 10px; background: #fff; border-radius: .5rem;" />
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<pre>
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<strong>Input:</strong> grid = [[7,2,9],[1,5,0],[2,6,6]], k = 20
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<strong>Output:</strong> 6
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<strong>Explanation:</strong> There are only 6 submatrices, shown in the image above, that contain the top-left element of grid, and have a sum less than or equal to 20.
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</pre>
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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>m == grid.length </code></li>
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<li><code>n == grid[i].length</code></li>
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<li><code>1 <= n, m <= 1000 </code></li>
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<li><code>0 <= grid[i][j] <= 1000</code></li>
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<li><code>1 <= k <= 10<sup>9</sup></code></li>
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</ul>
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<p>You are given an unrooted weighted tree with <code>n</code> vertices representing servers numbered from <code>0</code> to <code>n - 1</code>, an array <code>edges</code> where <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>, weight<sub>i</sub>]</code> represents a bidirectional edge between vertices <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code> of weight <code>weight<sub>i</sub></code>. You are also given an integer <code>signalSpeed</code>.</p>
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<p>Two servers <code>a</code> and <code>b</code> are <strong>connectable</strong> through a server <code>c</code> if:</p>
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<ul>
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<li><code>a < b</code>, <code>a != c</code> and <code>b != c</code>.</li>
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<li>The distance from <code>c</code> to <code>a</code> is divisible by <code>signalSpeed</code>.</li>
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<li>The distance from <code>c</code> to <code>b</code> is divisible by <code>signalSpeed</code>.</li>
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<li>The path from <code>c</code> to <code>b</code> and the path from <code>c</code> to <code>a</code> do not share any edges.</li>
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</ul>
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<p>Return <em>an integer array</em> <code>count</code> <em>of length</em> <code>n</code> <em>where</em> <code>count[i]</code> <em>is the <strong>number</strong> of server pairs that are <strong>connectable</strong> through</em> <em>the server</em> <code>i</code>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2024/01/21/example22.png" style="width: 438px; height: 243px; padding: 10px; background: #fff; border-radius: .5rem;" />
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<pre>
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<strong>Input:</strong> edges = [[0,1,1],[1,2,5],[2,3,13],[3,4,9],[4,5,2]], signalSpeed = 1
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<strong>Output:</strong> [0,4,6,6,4,0]
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<strong>Explanation:</strong> Since signalSpeed is 1, count[c] is equal to the number of pairs of paths that start at c and do not share any edges.
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In the case of the given path graph, count[c] is equal to the number of servers to the left of c multiplied by the servers to the right of c.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2024/01/21/example11.png" style="width: 495px; height: 484px; padding: 10px; background: #fff; border-radius: .5rem;" />
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<pre>
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<strong>Input:</strong> edges = [[0,6,3],[6,5,3],[0,3,1],[3,2,7],[3,1,6],[3,4,2]], signalSpeed = 3
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<strong>Output:</strong> [2,0,0,0,0,0,2]
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<strong>Explanation:</strong> Through server 0, there are 2 pairs of connectable servers: (4, 5) and (4, 6).
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Through server 6, there are 2 pairs of connectable servers: (4, 5) and (0, 5).
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It can be shown that no two servers are connectable through servers other than 0 and 6.
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</pre>
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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 <= n <= 1000</code></li>
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<li><code>edges.length == n - 1</code></li>
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<li><code>edges[i].length == 3</code></li>
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<li><code>0 <= a<sub>i</sub>, b<sub>i</sub> < n</code></li>
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<li><code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>, weight<sub>i</sub>]</code><!-- notionvc: a2623897-1bb1-4c07-84b6-917ffdcd83ec --></li>
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<li><code>1 <= weight<sub>i</sub> <= 10<sup>6</sup></code></li>
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<li><code>1 <= signalSpeed <= 10<sup>6</sup></code></li>
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<li>The input is generated such that <code>edges</code> represents a valid tree.</li>
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</ul>
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<p>You are given a <strong>0-indexed</strong> <code>n x n</code> grid where <code>n</code> is odd, and <code>grid[r][c]</code> is <code>0</code>, <code>1</code>, or <code>2</code>.</p>
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<p>We say that a cell belongs to the Letter <strong>Y</strong> if it belongs to one of the following:</p>
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<ul>
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<li>The diagonal starting at the top-left cell and ending at the center cell of the grid.</li>
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<li>The diagonal starting at the top-right cell and ending at the center cell of the grid.</li>
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<li>The vertical line starting at the center cell and ending at the bottom border of the grid.</li>
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</ul>
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<p>The Letter <strong>Y</strong> is written on the grid if and only if:</p>
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<ul>
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<li>All values at cells belonging to the Y are equal.</li>
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<li>All values at cells not belonging to the Y are equal.</li>
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<li>The values at cells belonging to the Y are different from the values at cells not belonging to the Y.</li>
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</ul>
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<p>Return <em>the <strong>minimum</strong> number of operations needed to write the letter Y on the grid given that in one operation you can change the value at any cell to</em> <code>0</code><em>,</em> <code>1</code><em>,</em> <em>or</em> <code>2</code><em>.</em></p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2024/01/22/y2.png" style="width: 461px; height: 121px;" />
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<pre>
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<strong>Input:</strong> grid = [[1,2,2],[1,1,0],[0,1,0]]
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> We can write Y on the grid by applying the changes highlighted in blue in the image above. After the operations, all cells that belong to Y, denoted in bold, have the same value of 1 while those that do not belong to Y are equal to 0.
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It can be shown that 3 is the minimum number of operations needed to write Y on the grid.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2024/01/22/y3.png" style="width: 701px; height: 201px;" />
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<pre>
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<strong>Input:</strong> grid = [[0,1,0,1,0],[2,1,0,1,2],[2,2,2,0,1],[2,2,2,2,2],[2,1,2,2,2]]
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<strong>Output:</strong> 12
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<strong>Explanation:</strong> We can write Y on the grid by applying the changes highlighted in blue in the image above. After the operations, all cells that belong to Y, denoted in bold, have the same value of 0 while those that do not belong to Y are equal to 2.
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It can be shown that 12 is the minimum number of operations needed to write Y on the grid.</pre>
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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>3 <= n <= 49 </code></li>
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<li><code>n == grid.length == grid[i].length</code></li>
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<li><code>0 <= grid[i][j] <= 2</code></li>
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<li><code>n</code> is odd.</li>
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</ul>
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<p>Given a<strong> </strong>string <code>s</code>, find any <span data-keyword="substring">substring</span> of length <code>2</code> which is also present in the reverse of <code>s</code>.</p>
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<p>Return <code>true</code><em> if such a substring exists, and </em><code>false</code><em> otherwise.</em></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" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
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<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">s = "leetcode"</span></p>
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<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">true</span></p>
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<p><strong>Explanation:</strong> Substring <code>"ee"</code> is of length <code>2</code> which is also present in <code>reverse(s) == "edocteel"</code>.</p>
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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" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
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<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">s = "abcba"</span></p>
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<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">true</span></p>
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<p><strong>Explanation:</strong> All of the substrings of length <code>2</code> <code>"ab"</code>, <code>"bc"</code>, <code>"cb"</code>, <code>"ba"</code> are also present in <code>reverse(s) == "abcba"</code>.</p>
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</div>
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<p><strong class="example">Example 3:</strong></p>
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<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
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<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">s = "abcd"</span></p>
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<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">false</span></p>
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<p><strong>Explanation:</strong> There is no substring of length <code>2</code> in <code>s</code>, which is also present in the reverse of <code>s</code>.</p>
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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>1 <= s.length <= 100</code></li>
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<li><code>s</code> consists only of lowercase English letters.</li>
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</ul>
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<p>You are given a <strong>1-indexed</strong> array of <strong>distinct</strong> integers <code>nums</code> of length <code>n</code>.</p>
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<p>You need to distribute all the elements of <code>nums</code> between two arrays <code>arr1</code> and <code>arr2</code> using <code>n</code> operations. In the first operation, append <code>nums[1]</code> to <code>arr1</code>. In the second operation, append <code>nums[2]</code> to <code>arr2</code>. Afterwards, in the <code>i<sup>th</sup></code> operation:</p>
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<ul>
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<li>If the last element of <code>arr1</code> is<strong> greater</strong> than the last element of <code>arr2</code>, append <code>nums[i]</code> to <code>arr1</code>. Otherwise, append <code>nums[i]</code> to <code>arr2</code>.</li>
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</ul>
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<p>The array <code>result</code> is formed by concatenating the arrays <code>arr1</code> and <code>arr2</code>. For example, if <code>arr1 == [1,2,3]</code> and <code>arr2 == [4,5,6]</code>, then <code>result = [1,2,3,4,5,6]</code>.</p>
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<p>Return <em>the array</em> <code>result</code>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [2,1,3]
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<strong>Output:</strong> [2,3,1]
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<strong>Explanation:</strong> After the first 2 operations, arr1 = [2] and arr2 = [1].
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In the 3<sup>rd</sup> operation, as the last element of arr1 is greater than the last element of arr2 (2 > 1), append nums[3] to arr1.
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After 3 operations, arr1 = [2,3] and arr2 = [1].
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Hence, the array result formed by concatenation is [2,3,1].
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [5,4,3,8]
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<strong>Output:</strong> [5,3,4,8]
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<strong>Explanation:</strong> After the first 2 operations, arr1 = [5] and arr2 = [4].
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In the 3<sup>rd</sup> operation, as the last element of arr1 is greater than the last element of arr2 (5 > 4), append nums[3] to arr1, hence arr1 becomes [5,3].
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In the 4<sup>th</sup> operation, as the last element of arr2 is greater than the last element of arr1 (4 > 3), append nums[4] to arr2, hence arr2 becomes [4,8].
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After 4 operations, arr1 = [5,3] and arr2 = [4,8].
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Hence, the array result formed by concatenation is [5,3,4,8].
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</pre>
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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>3 <= n <= 50</code></li>
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<li><code>1 <= nums[i] <= 100</code></li>
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<li>All elements in <code>nums</code> are distinct.</li>
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</ul>
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@@ -0,0 +1,59 @@
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<p>You are given a <strong>1-indexed</strong> array of integers <code>nums</code> of length <code>n</code>.</p>
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<p>We define a function <code>greaterCount</code> such that <code>greaterCount(arr, val)</code> returns the number of elements in <code>arr</code> that are <strong>strictly greater</strong> than <code>val</code>.</p>
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<p>You need to distribute all the elements of <code>nums</code> between two arrays <code>arr1</code> and <code>arr2</code> using <code>n</code> operations. In the first operation, append <code>nums[1]</code> to <code>arr1</code>. In the second operation, append <code>nums[2]</code> to <code>arr2</code>. Afterwards, in the <code>i<sup>th</sup></code> operation:</p>
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<ul>
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<li>If <code>greaterCount(arr1, nums[i]) > greaterCount(arr2, nums[i])</code>, append <code>nums[i]</code> to <code>arr1</code>.</li>
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<li>If <code>greaterCount(arr1, nums[i]) < greaterCount(arr2, nums[i])</code>, append <code>nums[i]</code> to <code>arr2</code>.</li>
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<li>If <code>greaterCount(arr1, nums[i]) == greaterCount(arr2, nums[i])</code>, append <code>nums[i]</code> to the array with a <strong>lesser</strong> number of elements.</li>
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<li>If there is still a tie, append <code>nums[i]</code> to <code>arr1</code>.</li>
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</ul>
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<p>The array <code>result</code> is formed by concatenating the arrays <code>arr1</code> and <code>arr2</code>. For example, if <code>arr1 == [1,2,3]</code> and <code>arr2 == [4,5,6]</code>, then <code>result = [1,2,3,4,5,6]</code>.</p>
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||||
<p>Return <em>the integer array</em> <code>result</code>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [2,1,3,3]
|
||||
<strong>Output:</strong> [2,3,1,3]
|
||||
<strong>Explanation:</strong> After the first 2 operations, arr1 = [2] and arr2 = [1].
|
||||
In the 3<sup>rd</sup> operation, the number of elements greater than 3 is zero in both arrays. Also, the lengths are equal, hence, append nums[3] to arr1.
|
||||
In the 4<sup>th</sup> operation, the number of elements greater than 3 is zero in both arrays. As the length of arr2 is lesser, hence, append nums[4] to arr2.
|
||||
After 4 operations, arr1 = [2,3] and arr2 = [1,3].
|
||||
Hence, the array result formed by concatenation is [2,3,1,3].
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [5,14,3,1,2]
|
||||
<strong>Output:</strong> [5,3,1,2,14]
|
||||
<strong>Explanation:</strong> After the first 2 operations, arr1 = [5] and arr2 = [14].
|
||||
In the 3<sup>rd</sup> operation, the number of elements greater than 3 is one in both arrays. Also, the lengths are equal, hence, append nums[3] to arr1.
|
||||
In the 4<sup>th</sup> operation, the number of elements greater than 1 is greater in arr1 than arr2 (2 > 1). Hence, append nums[4] to arr1.
|
||||
In the 5<sup>th</sup> operation, the number of elements greater than 2 is greater in arr1 than arr2 (2 > 1). Hence, append nums[5] to arr1.
|
||||
After 5 operations, arr1 = [5,3,1,2] and arr2 = [14].
|
||||
Hence, the array result formed by concatenation is [5,3,1,2,14].
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 3:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [3,3,3,3]
|
||||
<strong>Output:</strong> [3,3,3,3]
|
||||
<strong>Explanation:</strong> At the end of 4 operations, arr1 = [3,3] and arr2 = [3,3].
|
||||
Hence, the array result formed by concatenation is [3,3,3,3].
|
||||
</pre>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>3 <= n <= 10<sup>5</sup></code></li>
|
||||
<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>
|
||||
</ul>
|
||||
@@ -0,0 +1,49 @@
|
||||
<p>You are given an array <code>happiness</code> of length <code>n</code>, and a <strong>positive</strong> integer <code>k</code>.</p>
|
||||
|
||||
<p>There are <code>n</code> children standing in a queue, where the <code>i<sup>th</sup></code> child has <strong>happiness value</strong> <code>happiness[i]</code>. You want to select <code>k</code> children from these <code>n</code> children in <code>k</code> turns.</p>
|
||||
|
||||
<p>In each turn, when you select a child, the <strong>happiness value</strong> of all the children that have <strong>not</strong> been selected till now decreases by <code>1</code>. Note that the happiness value <strong>cannot</strong> become negative and gets decremented <strong>only</strong> if it is positive.</p>
|
||||
|
||||
<p>Return <em>the <strong>maximum</strong> sum of the happiness values of the selected children you can achieve by selecting </em><code>k</code> <em>children</em>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> happiness = [1,2,3], k = 2
|
||||
<strong>Output:</strong> 4
|
||||
<strong>Explanation:</strong> We can pick 2 children in the following way:
|
||||
- Pick the child with the happiness value == 3. The happiness value of the remaining children becomes [0,1].
|
||||
- Pick the child with the happiness value == 1. The happiness value of the remaining child becomes [0]. Note that the happiness value cannot become less than 0.
|
||||
The sum of the happiness values of the selected children is 3 + 1 = 4.
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> happiness = [1,1,1,1], k = 2
|
||||
<strong>Output:</strong> 1
|
||||
<strong>Explanation:</strong> We can pick 2 children in the following way:
|
||||
- Pick any child with the happiness value == 1. The happiness value of the remaining children becomes [0,0,0].
|
||||
- Pick the child with the happiness value == 0. The happiness value of the remaining child becomes [0,0].
|
||||
The sum of the happiness values of the selected children is 1 + 0 = 1.
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 3:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> happiness = [2,3,4,5], k = 1
|
||||
<strong>Output:</strong> 5
|
||||
<strong>Explanation:</strong> We can pick 1 child in the following way:
|
||||
- Pick the child with the happiness value == 5. The happiness value of the remaining children becomes [1,2,3].
|
||||
The sum of the happiness values of the selected children is 5.
|
||||
</pre>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>1 <= n == happiness.length <= 2 * 10<sup>5</sup></code></li>
|
||||
<li><code>1 <= happiness[i] <= 10<sup>8</sup></code></li>
|
||||
<li><code>1 <= k <= n</code></li>
|
||||
</ul>
|
||||
@@ -0,0 +1,47 @@
|
||||
<p>You are given a string <code>word</code> and an integer <code>k</code>.</p>
|
||||
|
||||
<p>We consider <code>word</code> to be <strong>k-special</strong> if <code>|freq(word[i]) - freq(word[j])| <= k</code> for all indices <code>i</code> and <code>j</code> in the string.</p>
|
||||
|
||||
<p>Here, <code>freq(x)</code> denotes the <span data-keyword="frequency-letter">frequency</span> of the character <code>x</code> in <code>word</code>, and <code>|y|</code> denotes the absolute value of <code>y</code>.</p>
|
||||
|
||||
<p>Return <em>the <strong>minimum</strong> number of characters you need to delete to make</em> <code>word</code> <strong><em>k-special</em></strong>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">word = "aabcaba", k = 0</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">3</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> We can make <code>word</code> <code>0</code>-special by deleting <code>2</code> occurrences of <code>"a"</code> and <code>1</code> occurrence of <code>"c"</code>. Therefore, <code>word</code> becomes equal to <code>"baba"</code> where <code>freq('a') == freq('b') == 2</code>.</p>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">word = "dabdcbdcdcd", k = 2</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">2</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> We can make <code>word</code> <code>2</code>-special by deleting <code>1</code> occurrence of <code>"a"</code> and <code>1</code> occurrence of <code>"d"</code>. Therefore, <code>word</code> becomes equal to "bdcbdcdcd" where <code>freq('b') == 2</code>, <code>freq('c') == 3</code>, and <code>freq('d') == 4</code>.</p>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 3:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">word = "aaabaaa", k = 2</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">1</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> We can make <code>word</code> <code>2</code>-special by deleting <code>1</code> occurrence of <code>"b"</code>. Therefore, <code>word</code> becomes equal to <code>"aaaaaa"</code> where each letter's frequency is now uniformly <code>6</code>.</p>
|
||||
</div>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>1 <= word.length <= 10<sup>5</sup></code></li>
|
||||
<li><code>0 <= k <= 10<sup>5</sup></code></li>
|
||||
<li><code>word</code> consists only of lowercase English letters.</li>
|
||||
</ul>
|
||||
@@ -0,0 +1,55 @@
|
||||
<p>You are given a <strong>0-indexed</strong> array <code>nums</code> of size <code>n</code> consisting of positive integers.</p>
|
||||
|
||||
<p>You are also given a 2D array <code>queries</code> of size <code>m</code> where <code>queries[i] = [index<sub>i</sub>, k<sub>i</sub>]</code>.</p>
|
||||
|
||||
<p>Initially all elements of the array are <strong>unmarked</strong>.</p>
|
||||
|
||||
<p>You need to apply <code>m</code> queries on the array in order, where on the <code>i<sup>th</sup></code> query you do the following:</p>
|
||||
|
||||
<ul>
|
||||
<li>Mark the element at index <code>index<sub>i</sub></code> if it is not already marked.</li>
|
||||
<li>Then mark <code>k<sub>i</sub></code> unmarked elements in the array with the <strong>smallest</strong> values. If multiple such elements exist, mark the ones with the smallest indices. And if less than <code>k<sub>i</sub></code> unmarked elements exist, then mark all of them.</li>
|
||||
</ul>
|
||||
|
||||
<p>Return <em>an array answer of size </em><code>m</code><em> where </em><code>answer[i]</code><em> is the <strong>sum</strong> of unmarked elements in the array after the </em><code>i<sup>th</sup></code><em> query</em>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">nums = [1,2,2,1,2,3,1], queries = [[1,2],[3,3],[4,2]]</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">[8,3,0]</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong></p>
|
||||
|
||||
<p>We do the following queries on the array:</p>
|
||||
|
||||
<ul>
|
||||
<li>Mark the element at index <code>1</code>, and <code>2</code> of the smallest unmarked elements with the smallest indices if they exist, the marked elements now are <code>nums = [<strong><u>1</u></strong>,<u><strong>2</strong></u>,2,<u><strong>1</strong></u>,2,3,1]</code>. The sum of unmarked elements is <code>2 + 2 + 3 + 1 = 8</code>.</li>
|
||||
<li>Mark the element at index <code>3</code>, since it is already marked we skip it. Then we mark <code>3</code> of the smallest unmarked elements with the smallest indices, the marked elements now are <code>nums = [<strong><u>1</u></strong>,<u><strong>2</strong></u>,<u><strong>2</strong></u>,<u><strong>1</strong></u>,<u><strong>2</strong></u>,3,<strong><u>1</u></strong>]</code>. The sum of unmarked elements is <code>3</code>.</li>
|
||||
<li>Mark the element at index <code>4</code>, since it is already marked we skip it. Then we mark <code>2</code> of the smallest unmarked elements with the smallest indices if they exist, the marked elements now are <code>nums = [<strong><u>1</u></strong>,<u><strong>2</strong></u>,<u><strong>2</strong></u>,<u><strong>1</strong></u>,<u><strong>2</strong></u>,<strong><u>3</u></strong>,<u><strong>1</strong></u>]</code>. The sum of unmarked elements is <code>0</code>.</li>
|
||||
</ul>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">nums = [1,4,2,3], queries = [[0,1]]</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">[7]</span></p>
|
||||
|
||||
<p><strong>Explanation: </strong> We do one query which is mark the element at index <code>0</code> and mark the smallest element among unmarked elements. The marked elements will be <code>nums = [<strong><u>1</u></strong>,4,<u><strong>2</strong></u>,3]</code>, and the sum of unmarked elements is <code>4 + 3 = 7</code>.</p>
|
||||
</div>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>n == nums.length</code></li>
|
||||
<li><code>m == queries.length</code></li>
|
||||
<li><code>1 <= m <= n <= 10<sup>5</sup></code></li>
|
||||
<li><code>1 <= nums[i] <= 10<sup>5</sup></code></li>
|
||||
<li><code>queries[i].length == 2</code></li>
|
||||
<li><code>0 <= index<sub>i</sub>, k<sub>i</sub> <= n - 1</code></li>
|
||||
</ul>
|
||||
@@ -0,0 +1,58 @@
|
||||
<p>You are given a binary array <code>nums</code> of length <code>n</code>, a <strong>positive</strong> integer <code>k</code> and a <strong>non-negative</strong> integer <code>maxChanges</code>.</p>
|
||||
|
||||
<p>Alice plays a game, where the goal is for Alice to pick up <code>k</code> ones from <code>nums</code> using the <strong>minimum</strong> number of <strong>moves</strong>. When the game starts, Alice picks up any index <code>aliceIndex</code> in the range <code>[0, n - 1]</code> and stands there. If <code>nums[aliceIndex] == 1</code> , Alice picks up the one and <code>nums[aliceIndex]</code> becomes <code>0</code>(this <strong>does not</strong> count as a move). After this, Alice can make <strong>any</strong> number of <strong>moves</strong> (<strong>including</strong> <strong>zero</strong>) where in each move Alice must perform <strong>exactly</strong> one of the following actions:</p>
|
||||
|
||||
<ul>
|
||||
<li>Select any index <code>j != aliceIndex</code> such that <code>nums[j] == 0</code> and set <code>nums[j] = 1</code>. This action can be performed <strong>at</strong> <strong>most</strong> <code>maxChanges</code> times.</li>
|
||||
<li>Select any two adjacent indices <code>x</code> and <code>y</code> (<code>|x - y| == 1</code>) such that <code>nums[x] == 1</code>, <code>nums[y] == 0</code>, then swap their values (set <code>nums[y] = 1</code> and <code>nums[x] = 0</code>). If <code>y == aliceIndex</code>, Alice picks up the one after this move and <code>nums[y]</code> becomes <code>0</code>.</li>
|
||||
</ul>
|
||||
|
||||
<p>Return <em>the <strong>minimum</strong> number of moves required by Alice to pick <strong>exactly </strong></em><code>k</code> <em>ones</em>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">nums = [1,1,0,0,0,1,1,0,0,1], k = 3, maxChanges = 1</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">3</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> Alice can pick up <code>3</code> ones in <code>3</code> moves, if Alice performs the following actions in each move when standing at <code>aliceIndex == 1</code>:</p>
|
||||
|
||||
<ul>
|
||||
<li> At the start of the game Alice picks up the one and <code>nums[1]</code> becomes <code>0</code>. <code>nums</code> becomes <code>[1,<strong><u>1</u></strong>,1,0,0,1,1,0,0,1]</code>.</li>
|
||||
<li>Select <code>j == 2</code> and perform an action of the first type. <code>nums</code> becomes <code>[1,<strong><u>0</u></strong>,1,0,0,1,1,0,0,1]</code></li>
|
||||
<li>Select <code>x == 2</code> and <code>y == 1</code>, and perform an action of the second type. <code>nums</code> becomes <code>[1,<strong><u>1</u></strong>,0,0,0,1,1,0,0,1]</code>. As <code>y == aliceIndex</code>, Alice picks up the one and <code>nums</code> becomes <code>[1,<strong><u>0</u></strong>,0,0,0,1,1,0,0,1]</code>.</li>
|
||||
<li>Select <code>x == 0</code> and <code>y == 1</code>, and perform an action of the second type. <code>nums</code> becomes <code>[0,<strong><u>1</u></strong>,0,0,0,1,1,0,0,1]</code>. As <code>y == aliceIndex</code>, Alice picks up the one and <code>nums</code> becomes <code>[0,<strong><u>0</u></strong>,0,0,0,1,1,0,0,1]</code>.</li>
|
||||
</ul>
|
||||
|
||||
<p>Note that it may be possible for Alice to pick up <code>3</code> ones using some other sequence of <code>3</code> moves.</p>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">nums = [0,0,0,0], k = 2, maxChanges = 3</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">4</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> Alice can pick up <code>2</code> ones in <code>4</code> moves, if Alice performs the following actions in each move when standing at <code>aliceIndex == 0</code>:</p>
|
||||
|
||||
<ul>
|
||||
<li>Select <code>j == 1</code> and perform an action of the first type. <code>nums</code> becomes <code>[<strong><u>0</u></strong>,1,0,0]</code>.</li>
|
||||
<li>Select <code>x == 1</code> and <code>y == 0</code>, and perform an action of the second type. <code>nums</code> becomes <code>[<strong><u>1</u></strong>,0,0,0]</code>. As <code>y == aliceIndex</code>, Alice picks up the one and <code>nums</code> becomes <code>[<strong><u>0</u></strong>,0,0,0]</code>.</li>
|
||||
<li>Select <code>j == 1</code> again and perform an action of the first type. <code>nums</code> becomes <code>[<strong><u>0</u></strong>,1,0,0]</code>.</li>
|
||||
<li>Select <code>x == 1</code> and <code>y == 0</code> again, and perform an action of the second type. <code>nums</code> becomes <code>[<strong><u>1</u></strong>,0,0,0]</code>. As <code>y == aliceIndex</code>, Alice picks up the one and <code>nums</code> becomes <code>[<strong><u>0</u></strong>,0,0,0]</code>.</li>
|
||||
</ul>
|
||||
</div>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>2 <= n <= 10<sup>5</sup></code></li>
|
||||
<li><code>0 <= nums[i] <= 1</code></li>
|
||||
<li><code>1 <= k <= 10<sup>5</sup></code></li>
|
||||
<li><code>0 <= maxChanges <= 10<sup>5</sup></code></li>
|
||||
<li><code>maxChanges + sum(nums) >= k</code></li>
|
||||
</ul>
|
||||
@@ -0,0 +1,43 @@
|
||||
<p>You are given an array <code>arr</code> of size <code>n</code> consisting of <strong>non-empty</strong> strings.</p>
|
||||
|
||||
<p>Find a string array <code>answer</code> of size <code>n</code> such that:</p>
|
||||
|
||||
<ul>
|
||||
<li><code>answer[i]</code> is the <strong>shortest</strong> <span data-keyword="substring">substring</span> of <code>arr[i]</code> that does <strong>not</strong> occur as a substring in any other string in <code>arr</code>. If multiple such substrings exist, <code>answer[i]</code> should be the <span data-keyword="lexicographically-smaller-string">lexicographically smallest</span>. And if no such substring exists, <code>answer[i]</code> should be an empty string.</li>
|
||||
</ul>
|
||||
|
||||
<p>Return <em>the array </em><code>answer</code>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> arr = ["cab","ad","bad","c"]
|
||||
<strong>Output:</strong> ["ab","","ba",""]
|
||||
<strong>Explanation:</strong> We have the following:
|
||||
- For the string "cab", the shortest substring that does not occur in any other string is either "ca" or "ab", we choose the lexicographically smaller substring, which is "ab".
|
||||
- For the string "ad", there is no substring that does not occur in any other string.
|
||||
- For the string "bad", the shortest substring that does not occur in any other string is "ba".
|
||||
- For the string "c", there is no substring that does not occur in any other string.
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> arr = ["abc","bcd","abcd"]
|
||||
<strong>Output:</strong> ["","","abcd"]
|
||||
<strong>Explanation:</strong> We have the following:
|
||||
- For the string "abc", there is no substring that does not occur in any other string.
|
||||
- For the string "bcd", there is no substring that does not occur in any other string.
|
||||
- For the string "abcd", the shortest substring that does not occur in any other string is "abcd".
|
||||
</pre>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>n == arr.length</code></li>
|
||||
<li><code>2 <= n <= 100</code></li>
|
||||
<li><code>1 <= arr[i].length <= 20</code></li>
|
||||
<li><code>arr[i]</code> consists only of lowercase English letters.</li>
|
||||
</ul>
|
||||
@@ -0,0 +1,59 @@
|
||||
<p>You are given a string <code>s</code>. <code>s[i]</code> is either a lowercase English letter or <code>'?'</code>.</p>
|
||||
|
||||
<p>For a string <code>t</code> having length <code>m</code> containing <strong>only</strong> lowercase English letters, we define the function <code>cost(i)</code> for an index <code>i</code> as the number of characters <strong>equal</strong> to <code>t[i]</code> that appeared before it, i.e. in the range <code>[0, i - 1]</code>.</p>
|
||||
|
||||
<p>The <strong>value</strong> of <code>t</code> is the <strong>sum</strong> of <code>cost(i)</code> for all indices <code>i</code>.</p>
|
||||
|
||||
<p>For example, for the string <code>t = "aab"</code>:</p>
|
||||
|
||||
<ul>
|
||||
<li><code>cost(0) = 0</code></li>
|
||||
<li><code>cost(1) = 1</code></li>
|
||||
<li><code>cost(2) = 0</code></li>
|
||||
<li>Hence, the value of <code>"aab"</code> is <code>0 + 1 + 0 = 1</code>.</li>
|
||||
</ul>
|
||||
|
||||
<p>Your task is to <strong>replace all</strong> occurrences of <code>'?'</code> in <code>s</code> with any lowercase English letter so that the <strong>value</strong> of <code>s</code> is <strong>minimized</strong>.</p>
|
||||
|
||||
<p>Return <em>a string denoting the modified string with replaced occurrences of </em><code>'?'</code><em>. If there are multiple strings resulting in the <strong>minimum value</strong>, return the <span data-keyword="lexicographically-smaller-string">lexicographically smallest</span> one.</em></p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> s = "???" </span></p>
|
||||
|
||||
<p><strong>Output: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> "abc" </span></p>
|
||||
|
||||
<p><strong>Explanation: </strong> In this example, we can replace the occurrences of <code>'?'</code> to make <code>s</code> equal to <code>"abc"</code>.</p>
|
||||
|
||||
<p>For <code>"abc"</code>, <code>cost(0) = 0</code>, <code>cost(1) = 0</code>, and <code>cost(2) = 0</code>.</p>
|
||||
|
||||
<p>The value of <code>"abc"</code> is <code>0</code>.</p>
|
||||
|
||||
<p>Some other modifications of <code>s</code> that have a value of <code>0</code> are <code>"cba"</code>, <code>"abz"</code>, and, <code>"hey"</code>.</p>
|
||||
|
||||
<p>Among all of them, we choose the lexicographically smallest.</p>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">s = "a?a?"</span></p>
|
||||
|
||||
<p><strong>Output: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">"abac"</span></p>
|
||||
|
||||
<p><strong>Explanation: </strong> In this example, the occurrences of <code>'?'</code> can be replaced to make <code>s</code> equal to <code>"abac"</code>.</p>
|
||||
|
||||
<p>For <code>"abac"</code>, <code>cost(0) = 0</code>, <code>cost(1) = 0</code>, <code>cost(2) = 1</code>, and <code>cost(3) = 0</code>.</p>
|
||||
|
||||
<p>The value of <code>"abac"</code> is <code>1</code>.</p>
|
||||
</div>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>1 <= s.length <= 10<sup>5</sup></code></li>
|
||||
<li><code>s[i]</code> is either a lowercase English letter or <code>'?'</code>.</li>
|
||||
</ul>
|
||||
@@ -0,0 +1,59 @@
|
||||
<p>There exists an <strong>undirected</strong> tree with <code>n</code> nodes numbered <code>0</code> to <code>n - 1</code>. You are given a <strong>0-indexed</strong> 2D integer array <code>edges</code> of length <code>n - 1</code>, where <code>edges[i] = [u<sub>i</sub>, v<sub>i</sub>]</code> indicates that there is an edge between nodes <code>u<sub>i</sub></code> and <code>v<sub>i</sub></code> in the tree. You are also given a <strong>positive</strong> integer <code>k</code>, and a <strong>0-indexed</strong> array of <strong>non-negative</strong> integers <code>nums</code> of length <code>n</code>, where <code>nums[i]</code> represents the <strong>value</strong> of the node numbered <code>i</code>.</p>
|
||||
|
||||
<p>Alice wants the sum of values of tree nodes to be <strong>maximum</strong>, for which Alice can perform the following operation <strong>any</strong> number of times (<strong>including zero</strong>) on the tree:</p>
|
||||
|
||||
<ul>
|
||||
<li>Choose any edge <code>[u, v]</code> connecting the nodes <code>u</code> and <code>v</code>, and update their values as follows:
|
||||
|
||||
<ul>
|
||||
<li><code>nums[u] = nums[u] XOR k</code></li>
|
||||
<li><code>nums[v] = nums[v] XOR k</code></li>
|
||||
</ul>
|
||||
</li>
|
||||
</ul>
|
||||
|
||||
<p>Return <em>the <strong>maximum</strong> possible <strong>sum</strong> of the <strong>values</strong> Alice can achieve by performing the operation <strong>any</strong> number of times</em>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
<img alt="" src="https://assets.leetcode.com/uploads/2023/11/09/screenshot-2023-11-10-012513.png" style="width: 300px; height: 277px;padding: 10px; background: #fff; border-radius: .5rem;" />
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [1,2,1], k = 3, edges = [[0,1],[0,2]]
|
||||
<strong>Output:</strong> 6
|
||||
<strong>Explanation:</strong> Alice can achieve the maximum sum of 6 using a single operation:
|
||||
- Choose the edge [0,2]. nums[0] and nums[2] become: 1 XOR 3 = 2, and the array nums becomes: [1,2,1] -> [2,2,2].
|
||||
The total sum of values is 2 + 2 + 2 = 6.
|
||||
It can be shown that 6 is the maximum achievable sum of values.
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
<img alt="" src="https://assets.leetcode.com/uploads/2024/01/09/screenshot-2024-01-09-220017.png" style="padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; width: 300px; height: 239px;" />
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [2,3], k = 7, edges = [[0,1]]
|
||||
<strong>Output:</strong> 9
|
||||
<strong>Explanation:</strong> Alice can achieve the maximum sum of 9 using a single operation:
|
||||
- Choose the edge [0,1]. nums[0] becomes: 2 XOR 7 = 5 and nums[1] become: 3 XOR 7 = 4, and the array nums becomes: [2,3] -> [5,4].
|
||||
The total sum of values is 5 + 4 = 9.
|
||||
It can be shown that 9 is the maximum achievable sum of values.
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 3:</strong></p>
|
||||
<img alt="" src="https://assets.leetcode.com/uploads/2023/11/09/screenshot-2023-11-10-012641.png" style="width: 600px; height: 233px;padding: 10px; background: #fff; border-radius: .5rem;" />
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [7,7,7,7,7,7], k = 3, edges = [[0,1],[0,2],[0,3],[0,4],[0,5]]
|
||||
<strong>Output:</strong> 42
|
||||
<strong>Explanation:</strong> The maximum achievable sum is 42 which can be achieved by Alice performing no operations.
|
||||
</pre>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>2 <= n == nums.length <= 2 * 10<sup>4</sup></code></li>
|
||||
<li><code>1 <= k <= 10<sup>9</sup></code></li>
|
||||
<li><code>0 <= nums[i] <= 10<sup>9</sup></code></li>
|
||||
<li><code>edges.length == n - 1</code></li>
|
||||
<li><code>edges[i].length == 2</code></li>
|
||||
<li><code>0 <= edges[i][0], edges[i][1] <= n - 1</code></li>
|
||||
<li>The input is generated such that <code>edges</code> represent a valid tree.</li>
|
||||
</ul>
|
||||
@@ -0,0 +1,32 @@
|
||||
<p>You are given an integer array <code>nums</code> containing <strong>positive</strong> integers. We define a function <code>encrypt</code> such that <code>encrypt(x)</code> replaces <strong>every</strong> digit in <code>x</code> with the <strong>largest</strong> digit in <code>x</code>. For example, <code>encrypt(523) = 555</code> and <code>encrypt(213) = 333</code>.</p>
|
||||
|
||||
<p>Return <em>the <strong>sum </strong>of encrypted elements</em>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">nums = [1,2,3]</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">6</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> The encrypted elements are <code>[1,2,3]</code>. The sum of encrypted elements is <code>1 + 2 + 3 == 6</code>.</p>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">nums = [10,21,31]</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">66</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> The encrypted elements are <code>[11,22,33]</code>. The sum of encrypted elements is <code>11 + 22 + 33 == 66</code>.</p>
|
||||
</div>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>1 <= nums.length <= 50</code></li>
|
||||
<li><code>1 <= nums[i] <= 1000</code></li>
|
||||
</ul>
|
||||
@@ -0,0 +1,69 @@
|
||||
<p>You are given an integer array <code>nums</code> of length <code>n</code> and a <strong>positive</strong> integer <code>k</code>.</p>
|
||||
|
||||
<p>The <strong>power</strong> of an array of integers is defined as the number of <span data-keyword="subsequence-array">subsequences</span> with their sum <strong>equal</strong> to <code>k</code>.</p>
|
||||
|
||||
<p>Return <em>the <strong>sum</strong> of <strong>power</strong> of all subsequences of</em> <code>nums</code><em>.</em></p>
|
||||
|
||||
<p>Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> nums = [1,2,3], k = 3 </span></p>
|
||||
|
||||
<p><strong>Output: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> 6 </span></p>
|
||||
|
||||
<p><strong>Explanation:</strong></p>
|
||||
|
||||
<p>There are <code>5</code> subsequences of nums with non-zero power:</p>
|
||||
|
||||
<ul>
|
||||
<li>The subsequence <code>[<u><strong>1</strong></u>,<u><strong>2</strong></u>,<u><strong>3</strong></u>]</code> has <code>2</code> subsequences with <code>sum == 3</code>: <code>[1,2,<u>3</u>]</code> and <code>[<u>1</u>,<u>2</u>,3]</code>.</li>
|
||||
<li>The subsequence <code>[<u><strong>1</strong></u>,2,<u><strong>3</strong></u>]</code> has <code>1</code> subsequence with <code>sum == 3</code>: <code>[1,2,<u>3</u>]</code>.</li>
|
||||
<li>The subsequence <code>[1,<u><strong>2</strong></u>,<u><strong>3</strong></u>]</code> has <code>1</code> subsequence with <code>sum == 3</code>: <code>[1,2,<u>3</u>]</code>.</li>
|
||||
<li>The subsequence <code>[<u><strong>1</strong></u>,<u><strong>2</strong></u>,3]</code> has <code>1</code> subsequence with <code>sum == 3</code>: <code>[<u>1</u>,<u>2</u>,3]</code>.</li>
|
||||
<li>The subsequence <code>[1,2,<u><strong>3</strong></u>]</code> has <code>1</code> subsequence with <code>sum == 3</code>: <code>[1,2,<u>3</u>]</code>.</li>
|
||||
</ul>
|
||||
|
||||
<p>Hence the answer is <code>2 + 1 + 1 + 1 + 1 = 6</code>.</p>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> nums = [2,3,3], k = 5 </span></p>
|
||||
|
||||
<p><strong>Output: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> 4 </span></p>
|
||||
|
||||
<p><strong>Explanation:</strong></p>
|
||||
|
||||
<p>There are <code>3</code> subsequences of nums with non-zero power:</p>
|
||||
|
||||
<ul>
|
||||
<li>The subsequence <code>[<u><strong>2</strong></u>,<u><strong>3</strong></u>,<u><strong>3</strong></u>]</code> has 2 subsequences with <code>sum == 5</code>: <code>[<u>2</u>,3,<u>3</u>]</code> and <code>[<u>2</u>,<u>3</u>,3]</code>.</li>
|
||||
<li>The subsequence <code>[<u><strong>2</strong></u>,3,<u><strong>3</strong></u>]</code> has 1 subsequence with <code>sum == 5</code>: <code>[<u>2</u>,3,<u>3</u>]</code>.</li>
|
||||
<li>The subsequence <code>[<u><strong>2</strong></u>,<u><strong>3</strong></u>,3]</code> has 1 subsequence with <code>sum == 5</code>: <code>[<u>2</u>,<u>3</u>,3]</code>.</li>
|
||||
</ul>
|
||||
|
||||
<p>Hence the answer is <code>2 + 1 + 1 = 4</code>.</p>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 3:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> nums = [1,2,3], k = 7 </span></p>
|
||||
|
||||
<p><strong>Output: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> 0 </span></p>
|
||||
|
||||
<p><strong>Explanation: </strong>There exists no subsequence with sum <code>7</code>. Hence all subsequences of nums have <code>power = 0</code>.</p>
|
||||
</div>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>1 <= n <= 100</code></li>
|
||||
<li><code>1 <= nums[i] <= 10<sup>4</sup></code></li>
|
||||
<li><code>1 <= k <= 100</code></li>
|
||||
</ul>
|
||||
@@ -0,0 +1,30 @@
|
||||
<p>You are given a string <code>s</code> and a character <code>c</code>. Return <em>the total number of <span data-keyword="substring-nonempty">substrings</span> of </em><code>s</code><em> that start and end with </em><code>c</code><em>.</em></p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">s = "abada", c = "a"</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">6</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> Substrings starting and ending with <code>"a"</code> are: <code>"<strong><u>a</u></strong>bada"</code>, <code>"<u><strong>aba</strong></u>da"</code>, <code>"<u><strong>abada</strong></u>"</code>, <code>"ab<u><strong>a</strong></u>da"</code>, <code>"ab<u><strong>ada</strong></u>"</code>, <code>"abad<u><strong>a</strong></u>"</code>.</p>
|
||||
</div>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
|
||||
<p><strong>Input: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">s = "zzz", c = "z"</span></p>
|
||||
|
||||
<p><strong>Output: </strong><span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">6</span></p>
|
||||
|
||||
<p><strong>Explanation:</strong> There are a total of <code>6</code> substrings in <code>s</code> and all start and end with <code>"z"</code>.</p>
|
||||
</div>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>1 <= s.length <= 10<sup>5</sup></code></li>
|
||||
<li><code>s</code> and <code>c</code> consist only of lowercase English letters.</li>
|
||||
</ul>
|
||||
@@ -0,0 +1,43 @@
|
||||
<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>, and an integer <code>k</code>.</p>
|
||||
|
||||
<p>In one operation, you can remove one occurrence of the smallest element of <code>nums</code>.</p>
|
||||
|
||||
<p>Return <em>the <strong>minimum</strong> number of operations needed so that all elements of the array are greater than or equal to</em> <code>k</code>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [2,11,10,1,3], k = 10
|
||||
<strong>Output:</strong> 3
|
||||
<strong>Explanation:</strong> After one operation, nums becomes equal to [2, 11, 10, 3].
|
||||
After two operations, nums becomes equal to [11, 10, 3].
|
||||
After three operations, nums becomes equal to [11, 10].
|
||||
At this stage, all the elements of nums are greater than or equal to 10 so we can stop.
|
||||
It can be shown that 3 is the minimum number of operations needed so that all elements of the array are greater than or equal to 10.
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [1,1,2,4,9], k = 1
|
||||
<strong>Output:</strong> 0
|
||||
<strong>Explanation:</strong> All elements of the array are greater than or equal to 1 so we do not need to apply any operations on nums.</pre>
|
||||
|
||||
<p><strong class="example">Example 3:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [1,1,2,4,9], k = 9
|
||||
<strong>Output:</strong> 4
|
||||
<strong>Explanation:</strong> only a single element of nums is greater than or equal to 9 so we need to apply the operations 4 times on nums.
|
||||
</pre>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>1 <= nums.length <= 50</code></li>
|
||||
<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>
|
||||
<li><code>1 <= k <= 10<sup>9</sup></code></li>
|
||||
<li>The input is generated such that there is at least one index <code>i</code> such that <code>nums[i] >= k</code>.</li>
|
||||
</ul>
|
||||
@@ -0,0 +1,47 @@
|
||||
<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>, and an integer <code>k</code>.</p>
|
||||
|
||||
<p>In one operation, you will:</p>
|
||||
|
||||
<ul>
|
||||
<li>Take the two smallest integers <code>x</code> and <code>y</code> in <code>nums</code>.</li>
|
||||
<li>Remove <code>x</code> and <code>y</code> from <code>nums</code>.</li>
|
||||
<li>Add <code>min(x, y) * 2 + max(x, y)</code> anywhere in the array.</li>
|
||||
</ul>
|
||||
|
||||
<p><strong>Note</strong> that you can only apply the described operation if <code>nums</code> contains at least two elements.</p>
|
||||
|
||||
<p>Return <em>the <strong>minimum</strong> number of operations needed so that all elements of the array are greater than or equal to</em> <code>k</code>.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [2,11,10,1,3], k = 10
|
||||
<strong>Output:</strong> 2
|
||||
<strong>Explanation:</strong> In the first operation, we remove elements 1 and 2, then add 1 * 2 + 2 to nums. nums becomes equal to [4, 11, 10, 3].
|
||||
In the second operation, we remove elements 3 and 4, then add 3 * 2 + 4 to nums. nums becomes equal to [10, 11, 10].
|
||||
At this stage, all the elements of nums are greater than or equal to 10 so we can stop.
|
||||
It can be shown that 2 is the minimum number of operations needed so that all elements of the array are greater than or equal to 10.
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> nums = [1,1,2,4,9], k = 20
|
||||
<strong>Output:</strong> 4
|
||||
<strong>Explanation:</strong> After one operation, nums becomes equal to [2, 4, 9, 3].
|
||||
After two operations, nums becomes equal to [7, 4, 9].
|
||||
After three operations, nums becomes equal to [15, 9].
|
||||
After four operations, nums becomes equal to [33].
|
||||
At this stage, all the elements of nums are greater than 20 so we can stop.
|
||||
It can be shown that 4 is the minimum number of operations needed so that all elements of the array are greater than or equal to 20.</pre>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>2 <= nums.length <= 2 * 10<sup>5</sup></code></li>
|
||||
<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>
|
||||
<li><code>1 <= k <= 10<sup>9</sup></code></li>
|
||||
<li>The input is generated such that an answer always exists. That is, there exists some sequence of operations after which all elements of the array are greater than or equal to <code>k</code>.</li>
|
||||
</ul>
|
||||
@@ -0,0 +1,35 @@
|
||||
<p>You are given an array <code>apple</code> of size <code>n</code> and an array <code>capacity</code> of size <code>m</code>.</p>
|
||||
|
||||
<p>There are <code>n</code> packs where the <code>i<sup>th</sup></code> pack contains <code>apple[i]</code> apples. There are <code>m</code> boxes as well, and the <code>i<sup>th</sup></code> box has a capacity of <code>capacity[i]</code> apples.</p>
|
||||
|
||||
<p>Return <em>the <strong>minimum</strong> number of boxes you need to select to redistribute these </em><code>n</code><em> packs of apples into boxes</em>.</p>
|
||||
|
||||
<p><strong>Note</strong> that, apples from the same pack can be distributed into different boxes.</p>
|
||||
|
||||
<p> </p>
|
||||
<p><strong class="example">Example 1:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> apple = [1,3,2], capacity = [4,3,1,5,2]
|
||||
<strong>Output:</strong> 2
|
||||
<strong>Explanation:</strong> We will use boxes with capacities 4 and 5.
|
||||
It is possible to distribute the apples as the total capacity is greater than or equal to the total number of apples.
|
||||
</pre>
|
||||
|
||||
<p><strong class="example">Example 2:</strong></p>
|
||||
|
||||
<pre>
|
||||
<strong>Input:</strong> apple = [5,5,5], capacity = [2,4,2,7]
|
||||
<strong>Output:</strong> 4
|
||||
<strong>Explanation:</strong> We will need to use all the boxes.
|
||||
</pre>
|
||||
|
||||
<p> </p>
|
||||
<p><strong>Constraints:</strong></p>
|
||||
|
||||
<ul>
|
||||
<li><code>1 <= n == apple.length <= 50</code></li>
|
||||
<li><code>1 <= m == capacity.length <= 50</code></li>
|
||||
<li><code>1 <= apple[i], capacity[i] <= 50</code></li>
|
||||
<li>The input is generated such that it's possible to redistribute packs of apples into boxes.</li>
|
||||
</ul>
|
||||
Reference in New Issue
Block a user