mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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196 lines
26 KiB
JSON
196 lines
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"title": "The Score of Students Solving Math Expression",
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"content": "<p>You are given a string <code>s</code> that contains digits <code>0-9</code>, addition symbols <code>'+'</code>, and multiplication symbols <code>'*'</code> <strong>only</strong>, representing a <strong>valid</strong> math expression of <strong>single digit numbers</strong> (e.g., <code>3+5*2</code>). This expression was given to <code>n</code> elementary school students. The students were instructed to get the answer of the expression by following this <strong>order of operations</strong>:</p>\n\n<ol>\n\t<li>Compute <strong>multiplication</strong>, reading from <strong>left to right</strong>; Then,</li>\n\t<li>Compute <strong>addition</strong>, reading from <strong>left to right</strong>.</li>\n</ol>\n\n<p>You are given an integer array <code>answers</code> of length <code>n</code>, which are the submitted answers of the students in no particular order. You are asked to grade the <code>answers</code>, by following these <strong>rules</strong>:</p>\n\n<ul>\n\t<li>If an answer <strong>equals</strong> the correct answer of the expression, this student will be rewarded <code>5</code> points;</li>\n\t<li>Otherwise, if the answer <strong>could be interpreted</strong> as if the student applied the operators <strong>in the wrong order</strong> but had <strong>correct arithmetic</strong>, this student will be rewarded <code>2</code> points;</li>\n\t<li>Otherwise, this student will be rewarded <code>0</code> points.</li>\n</ul>\n\n<p>Return <em>the sum of the points of the students</em>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/17/student_solving_math.png\" style=\"width: 678px; height: 109px;\" />\n<pre>\n<strong>Input:</strong> s = "7+3*1*2", answers = [20,13,42]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> As illustrated above, the correct answer of the expression is 13, therefore one student is rewarded 5 points: [20,<u><strong>13</strong></u>,42]\nA student might have applied the operators in this wrong order: ((7+3)*1)*2 = 20. Therefore one student is rewarded 2 points: [<u><strong>20</strong></u>,13,42]\nThe points for the students are: [2,5,0]. The sum of the points is 2+5+0=7.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = "3+5*2", answers = [13,0,10,13,13,16,16]\n<strong>Output:</strong> 19\n<strong>Explanation:</strong> The correct answer of the expression is 13, therefore three students are rewarded 5 points each: [<strong><u>13</u></strong>,0,10,<strong><u>13</u></strong>,<strong><u>13</u></strong>,16,16]\nA student might have applied the operators in this wrong order: ((3+5)*2 = 16. Therefore two students are rewarded 2 points: [13,0,10,13,13,<strong><u>16</u></strong>,<strong><u>16</u></strong>]\nThe points for the students are: [5,0,0,5,5,2,2]. The sum of the points is 5+0+0+5+5+2+2=19.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = "6+0*1", answers = [12,9,6,4,8,6]\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> The correct answer of the expression is 6.\nIf a student had incorrectly done (6+0)*1, the answer would also be 6.\nBy the rules of grading, the students will still be rewarded 5 points (as they got the correct answer), not 2 points.\nThe points for the students are: [0,0,5,0,0,5]. The sum of the points is 10.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 <= s.length <= 31</code></li>\n\t<li><code>s</code> represents a valid expression that contains only digits <code>0-9</code>, <code>'+'</code>, and <code>'*'</code> only.</li>\n\t<li>All the integer operands in the expression are in the <strong>inclusive</strong> range <code>[0, 9]</code>.</li>\n\t<li><code>1 <=</code> The count of all operators (<code>'+'</code> and <code>'*'</code>) in the math expression <code><= 15</code></li>\n\t<li>Test data are generated such that the correct answer of the expression is in the range of <code>[0, 1000]</code>.</li>\n\t<li><code>n == answers.length</code></li>\n\t<li><code>1 <= n <= 10<sup>4</sup></code></li>\n\t<li><code>0 <= answers[i] <= 1000</code></li>\n</ul>\n",
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"translatedTitle": "解出数学表达式的学生分数",
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"translatedContent": "<p>给你一个字符串 <code>s</code> ，它 <strong>只</strong> 包含数字 <code>0-9</code> ，加法运算符 <code>'+'</code> 和乘法运算符 <code>'*'</code> ，这个字符串表示一个 <strong>合法</strong> 的只含有 <strong>个位数</strong><strong>数字</strong> 的数学表达式（比方说 <code>3+5*2</code>）。有 <code>n</code> 位小学生将计算这个数学表达式，并遵循如下 <strong>运算顺序</strong> ：</p>\n\n<ol>\n\t<li>按照 <strong>从左到右</strong> 的顺序计算 <strong>乘法</strong> ，然后</li>\n\t<li>按照 <strong>从左到右</strong> 的顺序计算 <strong>加法</strong> 。</li>\n</ol>\n\n<p>给你一个长度为 <code>n</code> 的整数数组 <code>answers</code> ，表示每位学生提交的答案。你的任务是给 <code>answer</code> 数组按照如下 <strong>规则</strong> 打分：</p>\n\n<ul>\n\t<li>如果一位学生的答案 <strong>等于</strong> 表达式的正确结果，这位学生将得到 <code>5</code> 分。</li>\n\t<li>否则，如果答案由 <strong>一处或多处错误的运算顺序</strong> 计算得到，那么这位学生能得到 <code>2</code> 分。</li>\n\t<li>否则，这位学生将得到 <code>0</code> 分。</li>\n</ul>\n\n<p>请你返回所有学生的分数和。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/17/student_solving_math.png\" style=\"width: 678px; height: 109px;\"></p>\n\n<pre><b>输入：</b>s = \"7+3*1*2\", answers = [20,13,42]\n<b>输出：</b>7\n<b>解释：</b>如上图所示，正确答案为 13 ，因此有一位学生得分为 5 分：[20,<em><strong>13</strong></em>,42] 。\n一位学生可能通过错误的运算顺序得到结果 20 ：7+3=10，10*1=10，10*2=20 。所以这位学生得分为 2 分：[<em><strong>20</strong></em>,13,42] 。\n所有学生得分分别为：[2,5,0] 。所有得分之和为 2+5+0=7 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>s = \"3+5*2\", answers = [13,0,10,13,13,16,16]\n<b>输出：</b>19\n<b>解释：</b>表达式的正确结果为 13 ，所以有 3 位学生得到 5 分：[<em><strong>13</strong></em>,0,10,<em><strong>13</strong></em>,<em><strong>13</strong></em>,16,16] 。\n学生可能通过错误的运算顺序得到结果 16 ：3+5=8，8*2=16 。所以两位学生得到 2 分：[13,0,10,13,13,<em><strong>16</strong></em>,<em><strong>16</strong></em>] 。\n所有学生得分分别为：[5,0,0,5,5,2,2] 。所有得分之和为 5+0+0+5+5+2+2=19 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><b>输入：</b>s = \"6+0*1\", answers = [12,9,6,4,8,6]\n<b>输出：</b>10\n<b>解释：</b>表达式的正确结果为 6 。\n如果一位学生通过错误的运算顺序计算该表达式，结果仍为 6 。\n根据打分规则，运算顺序错误的学生也将得到 5 分（因为他们仍然得到了正确的结果），而不是 2 分。\n所有学生得分分别为：[0,0,5,0,0,5] 。所有得分之和为 10 分。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 <= s.length <= 31</code></li>\n\t<li><code>s</code> 表示一个只包含 <code>0-9</code> ，<code>'+'</code> 和 <code>'*'</code> 的合法表达式。</li>\n\t<li>表达式中所有整数运算数字都在闭区间 <code>[0, 9]</code> 以内。</li>\n\t<li><code>1 <=</code> 数学表达式中所有运算符数目（<code>'+'</code> 和 <code>'*'</code>） <code><= 15</code></li>\n\t<li>测试数据保证正确表达式结果在范围 <code>[0, 1000]</code> 以内。</li>\n\t<li><code>n == answers.length</code></li>\n\t<li><code>1 <= n <= 10<sup>4</sup></code></li>\n\t<li><code>0 <= answers[i] <= 1000</code></li>\n</ul>\n",
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