mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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76 lines
10 KiB
JSON
76 lines
10 KiB
JSON
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"questionId": "3268",
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"title": "Minimum Number of Coins for Fruits II",
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"difficulty": "Hard",
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"likes": 8,
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"categoryTitle": "Algorithms",
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"name": "Queue",
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"hints": [
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"Use DP + Fenwick tree.",
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"There is another creative solution using multiset instead of Fenwick.",
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"Imagine we want to calculate <code>dp[i]</code> which is the answer to the problem for the first <code>i</code> fruits.",
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"If we buy <code>l<sup>th</sup></code> fruit from the set of indices: <code>[(i + 1) / 2, (i + 1) / 2 + 1, (i + 1) / 2 + 2, ..., i - 1]</code>, then we can get fruits <code>l + 1, l + 2, ..., i</code> for free.",
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"We just need to get all the first <code>l - 1</code> fruits as well and the minimum price for that, is <code>dp[l - 1]</code>.",
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"So at the index <code>i</code>, we are looking for such an index <code>l</code> that <code>dp[l - 1] + prices[l]</code> is as minimum as possible.",
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"We can store these values in a multiset and update the values in it."
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],
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