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20\. Valid Parentheses

Easy

Given a string `s` containing just the characters `'('`, `')'`, `'{'`, `'}'`, `'['` and `']'`, determine if the input string is valid.

An input string is valid if:

1.  Open brackets must be closed by the same type of brackets.
2.  Open brackets must be closed in the correct order.

**Example 1:**

**Input:** s = "()"

**Output:** true 

**Example 2:**

**Input:** s = "()[]{}"

**Output:** true 

**Example 3:**

**Input:** s = "(]"

**Output:** false 

**Example 4:**

**Input:** s = "([)]"

**Output:** false 

**Example 5:**

**Input:** s = "{[]}"

**Output:** true 

**Constraints:**

*   1 <= s.length <= 104
*   `s` consists of parentheses only `'()[]{}'`.

To solve the Valid Parentheses problem in Java with a `Solution` class, we'll use a stack data structure. Here are the steps:

1. Define a `Solution` class with a method named `isValid` that takes a string `s` as input and returns a boolean indicating whether the string contains valid parentheses.
2. Create a stack to store opening parentheses.
3. Iterate through each character in the input string `s`.
4. If the current character is an opening parenthesis (`'('`, `'{'`, or `'['`), push it onto the stack.
5. If the current character is a closing parenthesis (`')'`, `'}'`, or `']'`), check if the stack is empty. If it is, return `false` because there's no matching opening parenthesis for the current closing parenthesis.
6. If the stack is not empty, pop the top element from the stack and check if it matches the current closing parenthesis. If it doesn't match, return `false`.
7. After iterating through all characters in `s`, check if the stack is empty. If it's not empty, return `false` because there are unmatched opening parentheses remaining.
8. If the stack is empty after processing all characters, return `true` because all parentheses are valid.

Here's the implementation:

```java
import java.util.Stack;

public class Solution {
    public boolean isValid(String s) {
        Stack stack = new Stack<>();

        for (char c : s.toCharArray()) {
            if (c == '(' || c == '{' || c == '[') {
                stack.push(c);
            } else {
                if (stack.isEmpty()) {
                    return false;
                }
                char top = stack.pop();
                if ((c == ')' && top != '(') || (c == '}' && top != '{') || (c == ']' && top != '[')) {
                    return false;
                }
            }
        }

        return stack.isEmpty();
    }

    public static void main(String[] args) {
        Solution solution = new Solution();

        // Test cases
        System.out.println(solution.isValid("()")); // true
        System.out.println(solution.isValid("()[]{}")); // true
        System.out.println(solution.isValid("(]")); // false
        System.out.println(solution.isValid("([)]")); // false
        System.out.println(solution.isValid("{[]}")); // true
    }
}
```

This implementation provides a solution to the Valid Parentheses problem in Java using a stack data structure.




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