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Java-based LeetCode algorithm problem solutions, regularly updated
679\. 24 Game
Hard
You are given an integer array `cards` of length `4`. You have four cards, each containing a number in the range `[1, 9]`. You should arrange the numbers on these cards in a mathematical expression using the operators `['+', '-', '*', '/']` and the parentheses `'('` and `')'` to get the value 24.
You are restricted with the following rules:
* The division operator `'/'` represents real division, not integer division.
* For example, `4 / (1 - 2 / 3) = 4 / (1 / 3) = 12`.
* Every operation done is between two numbers. In particular, we cannot use `'-'` as a unary operator.
* For example, if `cards = [1, 1, 1, 1]`, the expression `"-1 - 1 - 1 - 1"` is **not allowed**.
* You cannot concatenate numbers together
* For example, if `cards = [1, 2, 1, 2]`, the expression `"12 + 12"` is not valid.
Return `true` if you can get such expression that evaluates to `24`, and `false` otherwise.
**Example 1:**
**Input:** cards = [4,1,8,7]
**Output:** true
**Explanation:** (8-4) \* (7-1) = 24
**Example 2:**
**Input:** cards = [1,2,1,2]
**Output:** false
**Constraints:**
* `cards.length == 4`
* `1 <= cards[i] <= 9`