mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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178 lines
17 KiB
JSON
178 lines
17 KiB
JSON
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"title": "Minimum Cost of Buying Candies With Discount",
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"content": "<p>A shop is selling candies at a discount. For <strong>every two</strong> candies sold, the shop gives a <strong>third</strong> candy for <strong>free</strong>.</p>\n\n<p>The customer can choose <strong>any</strong> candy to take away for free as long as the cost of the chosen candy is less than or equal to the <strong>minimum</strong> cost of the two candies bought.</p>\n\n<ul>\n\t<li>For example, if there are <code>4</code> candies with costs <code>1</code>, <code>2</code>, <code>3</code>, and <code>4</code>, and the customer buys candies with costs <code>2</code> and <code>3</code>, they can take the candy with cost <code>1</code> for free, but not the candy with cost <code>4</code>.</li>\n</ul>\n\n<p>Given a <strong>0-indexed</strong> integer array <code>cost</code>, where <code>cost[i]</code> denotes the cost of the <code>i<sup>th</sup></code> candy, return <em>the <strong>minimum cost</strong> of buying <strong>all</strong> the candies</em>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> cost = [1,2,3]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> We buy the candies with costs 2 and 3, and take the candy with cost 1 for free.\nThe total cost of buying all candies is 2 + 3 = 5. This is the <strong>only</strong> way we can buy the candies.\nNote that we cannot buy candies with costs 1 and 3, and then take the candy with cost 2 for free.\nThe cost of the free candy has to be less than or equal to the minimum cost of the purchased candies.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> cost = [6,5,7,9,2,2]\n<strong>Output:</strong> 23\n<strong>Explanation:</strong> The way in which we can get the minimum cost is described below:\n- Buy candies with costs 9 and 7\n- Take the candy with cost 6 for free\n- We buy candies with costs 5 and 2\n- Take the last remaining candy with cost 2 for free\nHence, the minimum cost to buy all candies is 9 + 7 + 5 + 2 = 23.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> cost = [5,5]\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> Since there are only 2 candies, we buy both of them. There is not a third candy we can take for free.\nHence, the minimum cost to buy all candies is 5 + 5 = 10.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= cost.length <= 100</code></li>\n\t<li><code>1 <= cost[i] <= 100</code></li>\n</ul>\n",
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"If we consider costs from high to low, what is the maximum cost of a single candy that we can get for free?",
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"How can we generalize this approach to maximize the costs of the candies we get for free?",
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"Can “sorting” the array help us find the minimum cost?",
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"If we consider costs from high to low, what is the maximum cost of a single candy that we can get for free?",
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"How can we generalize this approach to maximize the costs of the candies we get for free?",
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"Can “sorting” the array help us find the minimum cost?"
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