Class Solution
java.lang.Object
g2001_2100.s2019_the_score_of_students_solving_math_expression.Solution
2019 - The Score of Students Solving Math Expression\.
Hard
You are given a string `s` that contains digits `0-9`, addition symbols `'+'`, and multiplication symbols `'*'` **only** , representing a **valid** math expression of **single digit numbers** (e.g., `3+5*2`). This expression was given to `n` elementary school students. The students were instructed to get the answer of the expression by following this **order of operations**:
1. Compute **multiplication** , reading from **left to right**; Then,
2. Compute **addition** , reading from **left to right**.
You are given an integer array `answers` of length `n`, which are the submitted answers of the students in no particular order. You are asked to grade the `answers`, by following these **rules**:
* If an answer **equals** the correct answer of the expression, this student will be rewarded `5` points;
* Otherwise, if the answer **could be interpreted** as if the student applied the operators **in the wrong order** but had **correct arithmetic** , this student will be rewarded `2` points;
* Otherwise, this student will be rewarded `0` points.
Return _the sum of the points of the students_.
**Example 1:**

**Input:** s = "7+3\*1\*2", answers = [20,13,42]
**Output:** 7
**Explanation:** As illustrated above, the correct answer of the expression is 13, therefore one student is rewarded 5 points: [20, **13** ,42]
A student might have applied the operators in this wrong order: ((7+3)\*1)\*2 = 20. Therefore one student is rewarded 2 points: [**20** ,13,42]
The points for the students are: [2,5,0]. The sum of the points is 2+5+0=7.
**Example 2:**
**Input:** s = "3+5\*2", answers = [13,0,10,13,13,16,16]
**Output:** 19
**Explanation:** The correct answer of the expression is 13, therefore three students are rewarded 5 points each: [**13** ,0,10, **13** , **13** ,16,16]
A 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, **16** , **16** ]
The 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.
**Example 3:**
**Input:** s = "6+0\*1", answers = [12,9,6,4,8,6]
**Output:** 10
**Explanation:** The correct answer of the expression is 6.
If a student had incorrectly done (6+0)\*1, the answer would also be 6.
By the rules of grading, the students will still be rewarded 5 points (as they got the correct answer), not 2 points.
The points for the students are: [0,0,5,0,0,5]. The sum of the points is 10.
**Constraints:**
* `3 <= s.length <= 31`
* `s` represents a valid expression that contains only digits `0-9`, `'+'`, and `'*'` only.
* All the integer operands in the expression are in the **inclusive** range `[0, 9]`.
* `1 <=` The count of all operators (`'+'` and `'*'`) in the math expression `<= 15`
* Test data are generated such that the correct answer of the expression is in the range of `[0, 1000]`.
* `n == answers.length`
*
1 <= n <= 104
* `0 <= answers[i] <= 1000`-
Constructor Summary
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Method Summary
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Constructor Details
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Solution
public Solution()
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Method Details
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scoreOfStudents
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