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leetcode-problemset/leetcode/originData/count-good-meals.json
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"title": "Count Good Meals",
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"content": "<p>A <strong>good meal</strong> is a meal that contains <strong>exactly two different food items</strong> with a sum of deliciousness equal to a power of two.</p>\n\n<p>You can pick <strong>any</strong> two different foods to make a good meal.</p>\n\n<p>Given an array of integers <code>deliciousness</code> where <code>deliciousness[i]</code> is the deliciousness of the <code>i<sup>th</sup></code> item of food, return <em>the number of different <strong>good meals</strong> you can make from this list modulo</em> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>Note that items with different indices are considered different even if they have the same deliciousness value.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> deliciousness = [1,3,5,7,9]\n<strong>Output:</strong> 4\n<strong>Explanation: </strong>The good meals are (1,3), (1,7), (3,5) and, (7,9).\nTheir respective sums are 4, 8, 8, and 16, all of which are powers of 2.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> deliciousness = [1,1,1,3,3,3,7]\n<strong>Output:</strong> 15\n<strong>Explanation: </strong>The good meals are (1,1) with 3 ways, (1,3) with 9 ways, and (1,7) with 3 ways.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= deliciousness.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= deliciousness[i] &lt;= 2<sup>20</sup></code></li>\n</ul>\n",
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"code": "class Solution {\npublic:\n int countPairs(vector<int>& deliciousness) {\n \n }\n};",
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"code": "/**\n * @param {number[]} deliciousness\n * @return {number}\n */\nvar countPairs = function(deliciousness) {\n \n};",
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"code": "# @param {Integer[]} deliciousness\n# @return {Integer}\ndef count_pairs(deliciousness)\n \nend",
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"code": "impl Solution {\n pub fn count_pairs(deliciousness: Vec<i32>) -> i32 {\n \n }\n}",
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"code": "(define/contract (count-pairs deliciousness)\n (-> (listof exact-integer?) exact-integer?)\n\n )",
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"hints": [
"Note that the number of powers of 2 is at most 21 so this turns the problem to a classic find the number of pairs that sum to a certain value but for 21 values",
"You need to use something fasters than the NlogN approach since there is already the log of iterating over the powers so one idea is two pointers"
],
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Java 8 features such as lambda expressions and stream API can be used. </p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n<p>Includes <code>Pair</code> class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.</p>\"], \"python\": [\"Python\", \"<p><code>Python 2.7.12</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/2/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/2/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/2/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. 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