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https://gitee.com/coder-xiaomo/leetcode-problemset
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136 lines
3.3 KiB
HTML
136 lines
3.3 KiB
HTML
<p>You are given two <strong>positive</strong> integers <code>n</code> and <code>k</code>. There are <code>n</code> children numbered from <code>0</code> to <code>n - 1</code> standing in a queue <em>in order</em> from left to right.</p>
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<p>Initially, child 0 holds a ball and the direction of passing the ball is towards the right direction. After each second, the child holding the ball passes it to the child next to them. Once the ball reaches <strong>either</strong> end of the line, i.e. child 0 or child <code>n - 1</code>, the direction of passing is <strong>reversed</strong>.</p>
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<p>Return the number of the child who receives the ball after <code>k</code> seconds.</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">n = 3, k = 5</span></p>
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<p><strong>Output:</strong> <span class="example-io">1</span></p>
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<p><strong>Explanation:</strong></p>
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<table>
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<tbody>
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<tr>
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<th>Time elapsed</th>
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<th>Children</th>
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</tr>
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<tr>
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<td><code>0</code></td>
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<td><code>[<u>0</u>, 1, 2]</code></td>
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</tr>
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<tr>
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<td><code>1</code></td>
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<td><code>[0, <u>1</u>, 2]</code></td>
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</tr>
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<tr>
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<td><code>2</code></td>
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<td><code>[0, 1, <u>2</u>]</code></td>
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</tr>
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<tr>
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<td><code>3</code></td>
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<td><code>[0, <u>1</u>, 2]</code></td>
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</tr>
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<tr>
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<td><code>4</code></td>
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<td><code>[<u>0</u>, 1, 2]</code></td>
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</tr>
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<tr>
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<td><code>5</code></td>
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<td><code>[0, <u>1</u>, 2]</code></td>
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</tr>
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</tbody>
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</table>
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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">n = 5, k = 6</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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<table>
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<tbody>
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<tr>
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<th>Time elapsed</th>
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<th>Children</th>
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</tr>
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<tr>
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<td><code>0</code></td>
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<td><code>[<u>0</u>, 1, 2, 3, 4]</code></td>
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</tr>
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<tr>
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<td><code>1</code></td>
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<td><code>[0, <u>1</u>, 2, 3, 4]</code></td>
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</tr>
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<tr>
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<td><code>2</code></td>
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<td><code>[0, 1, <u>2</u>, 3, 4]</code></td>
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</tr>
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<tr>
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<td><code>3</code></td>
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<td><code>[0, 1, 2, <u>3</u>, 4]</code></td>
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</tr>
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<tr>
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<td><code>4</code></td>
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<td><code>[0, 1, 2, 3, <u>4</u>]</code></td>
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</tr>
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<tr>
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<td><code>5</code></td>
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<td><code>[0, 1, 2, <u>3</u>, 4]</code></td>
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</tr>
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<tr>
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<td><code>6</code></td>
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<td><code>[0, 1, <u>2</u>, 3, 4]</code></td>
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</tr>
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</tbody>
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</table>
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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">
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<p><strong>Input:</strong> <span class="example-io">n = 4, k = 2</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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<table>
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<tbody>
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<tr>
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<th>Time elapsed</th>
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<th>Children</th>
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</tr>
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<tr>
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<td><code>0</code></td>
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<td><code>[<u>0</u>, 1, 2, 3]</code></td>
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</tr>
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<tr>
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<td><code>1</code></td>
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<td><code>[0, <u>1</u>, 2, 3]</code></td>
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</tr>
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<tr>
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<td><code>2</code></td>
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<td><code>[0, 1, <u>2</u>, 3]</code></td>
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</tr>
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</tbody>
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</table>
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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 <= 50</code></li>
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<li><code>1 <= k <= 50</code></li>
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</ul>
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