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52 lines
2.4 KiB
HTML
52 lines
2.4 KiB
HTML
<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> of length <code>n</code>.</p>
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<p>We want to group the indices so for each index <code>i</code> in the range <code>[0, n - 1]</code>, it is assigned to <strong>exactly one</strong> group.</p>
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<p>A group<strong> </strong>assignment is <strong>valid</strong> if the following conditions hold:</p>
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<ul>
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<li>For every group <code>g</code>, all indices <code>i</code> assigned to group <code>g</code> have the same value in <code>nums</code>.</li>
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<li>For any two groups <code>g<sub>1</sub></code> and <code>g<sub>2</sub></code>, the <strong>difference</strong> between the <strong>number of indices</strong> assigned to <code>g<sub>1</sub></code> and <code>g<sub>2</sub></code> should <strong>not exceed</strong> <code>1</code>.</li>
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</ul>
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<p>Return <em>an integer denoting </em><em>the <strong>minimum</strong> number of groups needed to create a valid group assignment.</em></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 = [3,2,3,2,3]
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<strong>Output:</strong> 2
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<strong>Explanation:</strong> One way the indices can be assigned to 2 groups is as follows, where the values in square brackets are indices:
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group 1 -> [0,2,4]
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group 2 -> [1,3]
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All indices are assigned to one group.
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In group 1, nums[0] == nums[2] == nums[4], so all indices have the same value.
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In group 2, nums[1] == nums[3], so all indices have the same value.
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The number of indices assigned to group 1 is 3, and the number of indices assigned to group 2 is 2.
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Their difference doesn't exceed 1.
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It is not possible to use fewer than 2 groups because, in order to use just 1 group, all indices assigned to that group must have the same value.
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Hence, the answer is 2.</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 = [10,10,10,3,1,1]
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<strong>Output:</strong> 4
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<strong>Explanation:</strong> One way the indices can be assigned to 4 groups is as follows, where the values in square brackets are indices:
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group 1 -> [0]
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group 2 -> [1,2]
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group 3 -> [3]
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group 4 -> [4,5]
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The group assignment above satisfies both conditions.
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It can be shown that it is not possible to create a valid assignment using fewer than 4 groups.
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Hence, the answer is 4.</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 <= nums.length <= 10<sup>5</sup></code></li>
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<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>
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</ul>
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