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leetcode-problemset/leetcode/originData/minimum-cost-to-move-chips-to-the-same-position.json
2022-05-02 23:44:12 +08:00

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"title": "Minimum Cost to Move Chips to The Same Position",
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"content": "<p>We have <code>n</code> chips, where the position of the <code>i<sup>th</sup></code> chip is <code>position[i]</code>.</p>\n\n<p>We need to move all the chips to <strong>the same position</strong>. In one step, we can change the position of the <code>i<sup>th</sup></code> chip from <code>position[i]</code> to:</p>\n\n<ul>\n\t<li><code>position[i] + 2</code> or <code>position[i] - 2</code> with <code>cost = 0</code>.</li>\n\t<li><code>position[i] + 1</code> or <code>position[i] - 1</code> with <code>cost = 1</code>.</li>\n</ul>\n\n<p>Return <em>the minimum cost</em> needed to move all the chips to the same position.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/15/chips_e1.jpg\" style=\"width: 750px; height: 217px;\" />\n<pre>\n<strong>Input:</strong> position = [1,2,3]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> First step: Move the chip at position 3 to position 1 with cost = 0.\nSecond step: Move the chip at position 2 to position 1 with cost = 1.\nTotal cost is 1.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/15/chip_e2.jpg\" style=\"width: 750px; height: 306px;\" />\n<pre>\n<strong>Input:</strong> position = [2,2,2,3,3]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> We can move the two chips at position 3 to position 2. Each move has cost = 1. The total cost = 2.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> position = [1,1000000000]\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= position.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= position[i] &lt;= 10^9</code></li>\n</ul>\n",
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"hints": [
"The first move keeps the parity of the element as it is.",
"The second move changes the parity of the element.",
"Since the first move is free, if all the numbers have the same parity, the answer would be zero.",
"Find the minimum cost to make all the numbers have the same parity."
],
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