Given a string 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.

Note that an empty string is also considered valid.

Example 1:

Input: "()"
Output: true

Example 2:

Input: "()[]{}"
Output: true

Example 3:

Input: "(]"
Output: false

Example 4:

Input: "([)]"
Output: false

Example 5:

Input: "{[]}"
Output: true

class Solution {
    public boolean isValid(String s) {
		int l = s.length();
        if(l == 0){
        		return true;
        }
        if(l % 2 != 0){
        		return false;
        }
        Stack<Character> stack = new Stack<>();
        for(int i = 0;i < l;i++){
        		Character c = s.charAt(i);
        		if(stack.isEmpty()){
        			stack.push(c);
        		}else{
        			Character cc = stack.pop();
        			if(!match(cc,c)){
        				stack.push(cc);
        				stack.push(c);
        			}
        		}
        }
        if(stack.empty()){
        	return true;
        }
		return false;
    }
	public boolean match(Character c, Character cc){
		if(c.equals('(') && cc.equals(')')){
			return true;
		}
		if(c.equals('[') && cc.equals(']')){
			return true;
		}
		if(c.equals('{') && cc.equals('}')){
			return true;
		}
		return false;
	}
}