mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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186 lines
24 KiB
JSON
186 lines
24 KiB
JSON
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"questionId": "282",
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"questionFrontendId": "282",
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"categoryTitle": "Algorithms",
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"boundTopicId": 1550,
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"title": "Expression Add Operators",
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"titleSlug": "expression-add-operators",
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"content": "<p>Given a string <code>num</code> that contains only digits and an integer <code>target</code>, return <em><strong>all possibilities</strong> to insert the binary operators </em><code>'+'</code><em>, </em><code>'-'</code><em>, and/or </em><code>'*'</code><em> between the digits of </em><code>num</code><em> so that the resultant expression evaluates to the </em><code>target</code><em> value</em>.</p>\n\n<p>Note that operands in the returned expressions <strong>should not</strong> contain leading zeros.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = "123", target = 6\n<strong>Output:</strong> ["1*2*3","1+2+3"]\n<strong>Explanation:</strong> Both "1*2*3" and "1+2+3" evaluate to 6.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = "232", target = 8\n<strong>Output:</strong> ["2*3+2","2+3*2"]\n<strong>Explanation:</strong> Both "2*3+2" and "2+3*2" evaluate to 8.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = "3456237490", target = 9191\n<strong>Output:</strong> []\n<strong>Explanation:</strong> There are no expressions that can be created from "3456237490" to evaluate to 9191.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= num.length <= 10</code></li>\n\t<li><code>num</code> consists of only digits.</li>\n\t<li><code>-2<sup>31</sup> <= target <= 2<sup>31</sup> - 1</code></li>\n</ul>\n",
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"translatedTitle": "给表达式添加运算符",
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"translatedContent": "<p>给定一个仅包含数字 <code>0-9</code> 的字符串 <code>num</code> 和一个目标值整数 <code>target</code> ,在 <code>num</code> 的数字之间添加 <strong>二元 </strong>运算符(不是一元)<code>+</code>、<code>-</code> 或 <code>*</code> ,返回 <strong>所有</strong> 能够得到 <code>target </code>的表达式。</p>\n\n<p>注意,返回表达式中的操作数 <strong>不应该</strong> 包含前导零。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong> <code>num = </code>\"123\", target = 6\n<strong>输出: </strong>[\"1+2+3\", \"1*2*3\"] \n<strong>解释: </strong>“1*2*3” 和 “1+2+3” 的值都是6。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> <code>num = </code>\"232\", target = 8\n<strong>输出: </strong>[\"2*3+2\", \"2+3*2\"]\n<strong>解释:</strong> “2*3+2” 和 “2+3*2” 的值都是8。\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入:</strong> <code>num = </code>\"3456237490\", target = 9191\n<strong>输出: </strong>[]\n<strong>解释: </strong>表达式 “3456237490” 无法得到 9191 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= num.length <= 10</code></li>\n\t<li><code>num</code> 仅含数字</li>\n\t<li><code>-2<sup>31</sup> <= target <= 2<sup>31</sup> - 1</code></li>\n</ul>\n",
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"hints": [
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"Note that a number can contain multiple digits.",
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"Since the question asks us to find <b>all</b> of the valid expressions, we need a way to iterate over all of them. (<b>Hint:</b> Recursion!)",
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"We can keep track of the expression string and evaluate it at the very end. But that would take a lot of time. Can we keep track of the expression's value as well so as to avoid the evaluation at the very end of recursion?",
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"Think carefully about the multiply operator. It has a higher precedence than the addition and subtraction operators. \r\n\r\n<br> 1 + 2 = 3 <br>\r\n1 + 2 - 4 --> 3 - 4 --> -1 <br>\r\n1 + 2 - 4 * 12 --> -1 * 12 --> -12 (WRONG!) <br>\r\n1 + 2 - 4 * 12 --> -1 - (-4) + (-4 * 12) --> 3 + (-48) --> -45 (CORRECT!)",
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"We simply need to keep track of the last operand in our expression and reverse it's effect on the expression's value while considering the multiply operator."
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href=\\\"https:\\/\\/github.com\\/emirpasic\\/gods\\/tree\\/v1.18.1\\\" target=\\\"_blank\\\">https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods@v1.18.1<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.10<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/array.html\\\" target=\\\"_blank\\\">array<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/bisect.html\\\" target=\\\"_blank\\\">bisect<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/collections.html\\\" target=\\\"_blank\\\">collections<\\/a>\\u3002 \\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap 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