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115 lines
4.3 KiB
HTML
115 lines
4.3 KiB
HTML
<p>You are given an array <code>points</code> of size <code>n</code> and an integer <code>m</code>. There is another array <code>gameScore</code> of size <code>n</code>, where <code>gameScore[i]</code> represents the score achieved at the <code>i<sup>th</sup></code> game. Initially, <code>gameScore[i] == 0</code> for all <code>i</code>.</p>
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<p>You start at index -1, which is outside the array (before the first position at index 0). You can make <strong>at most</strong> <code>m</code> moves. In each move, you can either:</p>
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<ul>
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<li>Increase the index by 1 and add <code>points[i]</code> to <code>gameScore[i]</code>.</li>
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<li>Decrease the index by 1 and add <code>points[i]</code> to <code>gameScore[i]</code>.</li>
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</ul>
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<p><strong>Note</strong> that the index must always remain within the bounds of the array after the first move.</p>
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<p>Return the <strong>maximum possible minimum</strong> value in <code>gameScore</code> after <strong>at most</strong> <code>m</code> moves.</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">points = [2,4], m = 3</span></p>
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<p><strong>Output:</strong> <span class="example-io">4</span></p>
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<p><strong>Explanation:</strong></p>
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<p>Initially, index <code>i = -1</code> and <code>gameScore = [0, 0]</code>.</p>
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<table style="border: 1px solid black;">
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<thead>
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<tr>
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<th style="border: 1px solid black;">Move</th>
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<th style="border: 1px solid black;">Index</th>
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<th style="border: 1px solid black;">gameScore</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td style="border: 1px solid black;">Increase <code>i</code></td>
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<td style="border: 1px solid black;">0</td>
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<td style="border: 1px solid black;"><code>[2, 0]</code></td>
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</tr>
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<tr>
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<td style="border: 1px solid black;">Increase <code>i</code></td>
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<td style="border: 1px solid black;">1</td>
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<td style="border: 1px solid black;"><code>[2, 4]</code></td>
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</tr>
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<tr>
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<td style="border: 1px solid black;">Decrease <code>i</code></td>
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<td style="border: 1px solid black;">0</td>
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<td style="border: 1px solid black;"><code>[4, 4]</code></td>
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</tr>
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</tbody>
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</table>
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<p>The minimum value in <code>gameScore</code> is 4, and this is the maximum possible minimum among all configurations. Hence, 4 is the output.</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">
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<p><strong>Input:</strong> <span class="example-io">points = [1,2,3], m = 5</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>Initially, index <code>i = -1</code> and <code>gameScore = [0, 0, 0]</code>.</p>
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<table style="border: 1px solid black;">
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<thead>
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<tr>
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<th style="border: 1px solid black;">Move</th>
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<th style="border: 1px solid black;">Index</th>
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<th style="border: 1px solid black;">gameScore</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td style="border: 1px solid black;">Increase <code>i</code></td>
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<td style="border: 1px solid black;">0</td>
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<td style="border: 1px solid black;"><code>[1, 0, 0]</code></td>
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</tr>
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<tr>
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<td style="border: 1px solid black;">Increase <code>i</code></td>
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<td style="border: 1px solid black;">1</td>
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<td style="border: 1px solid black;"><code>[1, 2, 0]</code></td>
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</tr>
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<tr>
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<td style="border: 1px solid black;">Decrease <code>i</code></td>
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<td style="border: 1px solid black;">0</td>
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<td style="border: 1px solid black;"><code>[2, 2, 0]</code></td>
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</tr>
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<tr>
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<td style="border: 1px solid black;">Increase <code>i</code></td>
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<td style="border: 1px solid black;">1</td>
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<td style="border: 1px solid black;"><code>[2, 4, 0]</code></td>
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</tr>
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<tr>
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<td style="border: 1px solid black;">Increase <code>i</code></td>
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<td style="border: 1px solid black;">2</td>
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<td style="border: 1px solid black;"><code>[2, 4, 3]</code></td>
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</tr>
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</tbody>
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</table>
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<p>The minimum value in <code>gameScore</code> is 2, and this is the maximum possible minimum among all configurations. Hence, 2 is the output.</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>2 <= n == points.length <= 5 * 10<sup>4</sup></code></li>
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<li><code>1 <= points[i] <= 10<sup>6</sup></code></li>
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<li><code>1 <= m <= 10<sup>9</sup></code></li>
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</ul>
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