leetcode-problemset/leetcode-cn/originData/number-of-ways-to-buy-pens-and-pencils.json

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        "question": {
            "questionId": "2351",
            "questionFrontendId": "2240",
            "categoryTitle": "Algorithms",
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            "title": "Number of Ways to Buy Pens and Pencils",
            "titleSlug": "number-of-ways-to-buy-pens-and-pencils",
            "content": "<p>You are given an integer <code>total</code> indicating the amount of money you have. You are also given two integers <code>cost1</code> and <code>cost2</code> indicating the price of a pen and pencil respectively. You can spend <strong>part or all</strong> of your money to buy multiple quantities (or none) of each kind of writing utensil.</p>\n\n<p>Return <em>the <strong>number of distinct ways</strong> you can buy some number of pens and pencils.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> total = 20, cost1 = 10, cost2 = 5\n<strong>Output:</strong> 9\n<strong>Explanation:</strong> The price of a pen is 10 and the price of a pencil is 5.\n- If you buy 0 pens, you can buy 0, 1, 2, 3, or 4 pencils.\n- If you buy 1 pen, you can buy 0, 1, or 2 pencils.\n- If you buy 2 pens, you cannot buy any pencils.\nThe total number of ways to buy pens and pencils is 5 + 3 + 1 = 9.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> total = 5, cost1 = 10, cost2 = 10\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The price of both pens and pencils are 10, which cost more than total, so you cannot buy any writing utensils. Therefore, there is only 1 way: buy 0 pens and 0 pencils.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= total, cost1, cost2 &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
            "translatedTitle": "买钢笔和铅笔的方案数",
            "translatedContent": "<p>给你一个整数&nbsp;<code>total</code>&nbsp;，表示你拥有的总钱数。同时给你两个整数&nbsp;<code>cost1</code> 和&nbsp;<code>cost2</code>&nbsp;，分别表示一支钢笔和一支铅笔的价格。你可以花费你部分或者全部的钱，去买任意数目的两种笔。</p>\n\n<p>请你返回购买钢笔和铅笔的&nbsp;<strong>不同方案数目</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>total = 20, cost1 = 10, cost2 = 5\n<b>输出：</b>9\n<b>解释：</b>一支钢笔的价格为 10 ，一支铅笔的价格为 5 。\n- 如果你买 0 支钢笔，那么你可以买 0 ，1 ，2 ，3 或者 4 支铅笔。\n- 如果你买 1 支钢笔，那么你可以买 0 ，1 或者 2 支铅笔。\n- 如果你买 2 支钢笔，那么你没法买任何铅笔。\n所以买钢笔和铅笔的总方案数为 5 + 3 + 1 = 9 种。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>total = 5, cost1 = 10, cost2 = 10\n<b>输出：</b>1\n<b>解释：</b>钢笔和铅笔的价格都为 10 ，都比拥有的钱数多，所以你没法购买任何文具。所以只有 1 种方案：买 0 支钢笔和 0 支铅笔。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= total, cost1, cost2 &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
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            "hints": [
                "Fix the number of pencils purchased and calculate the number of ways to buy pens.",
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