mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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201 lines
19 KiB
JSON
201 lines
19 KiB
JSON
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"title": "Successful Pairs of Spells and Potions",
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"content": "<p>You are given two positive integer arrays <code>spells</code> and <code>potions</code>, of length <code>n</code> and <code>m</code> respectively, where <code>spells[i]</code> represents the strength of the <code>i<sup>th</sup></code> spell and <code>potions[j]</code> represents the strength of the <code>j<sup>th</sup></code> potion.</p>\n\n<p>You are also given an integer <code>success</code>. A spell and potion pair is considered <strong>successful</strong> if the <strong>product</strong> of their strengths is <strong>at least</strong> <code>success</code>.</p>\n\n<p>Return <em>an integer array </em><code>pairs</code><em> of length </em><code>n</code><em> where </em><code>pairs[i]</code><em> is the number of <strong>potions</strong> that will form a successful pair with the </em><code>i<sup>th</sup></code><em> spell.</em></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> spells = [5,1,3], potions = [1,2,3,4,5], success = 7\n<strong>Output:</strong> [4,0,3]\n<strong>Explanation:</strong>\n- 0<sup>th</sup> spell: 5 * [1,2,3,4,5] = [5,<u><strong>10</strong></u>,<u><strong>15</strong></u>,<u><strong>20</strong></u>,<u><strong>25</strong></u>]. 4 pairs are successful.\n- 1<sup>st</sup> spell: 1 * [1,2,3,4,5] = [1,2,3,4,5]. 0 pairs are successful.\n- 2<sup>nd</sup> spell: 3 * [1,2,3,4,5] = [3,6,<u><strong>9</strong></u>,<u><strong>12</strong></u>,<u><strong>15</strong></u>]. 3 pairs are successful.\nThus, [4,0,3] is returned.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> spells = [3,1,2], potions = [8,5,8], success = 16\n<strong>Output:</strong> [2,0,2]\n<strong>Explanation:</strong>\n- 0<sup>th</sup> spell: 3 * [8,5,8] = [<u><strong>24</strong></u>,15,<u><strong>24</strong></u>]. 2 pairs are successful.\n- 1<sup>st</sup> spell: 1 * [8,5,8] = [8,5,8]. 0 pairs are successful. \n- 2<sup>nd</sup> spell: 2 * [8,5,8] = [<strong><u>16</u></strong>,10,<u><strong>16</strong></u>]. 2 pairs are successful. \nThus, [2,0,2] is returned.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == spells.length</code></li>\n\t<li><code>m == potions.length</code></li>\n\t<li><code>1 <= n, m <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= spells[i], potions[i] <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= success <= 10<sup>10</sup></code></li>\n</ul>\n",
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"Notice that if a spell and potion pair is successful, then the spell and all stronger potions will be successful too.",
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"Thus, for each spell, we need to find the potion with the least strength that will form a successful pair.",
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"We can efficiently do this by sorting the potions based on strength and using binary search."
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