Source : https://www.hackerrank.com/challenges/ctci-balanced-brackets
A bracket is considered to be any one of the following characters: (
, )
, {
, }
, [
, or ]
.
Two brackets are considered to be a matched pair if the an opening bracket (i.e., (
, [
, or {
) occurs to the left of a closing bracket (i.e., )
, ]
, or }
) of the exact same type. There are three types of matched pairs of brackets: []
, {}
, and ()
.
A matching pair of brackets is not balanced if the set of brackets it encloses are not matched. For example, {[(])}
is not balanced because the contents in between {
and }
are not balanced. The pair of square brackets encloses a single, unbalanced opening bracket, (
, and the pair of parentheses encloses a single, unbalanced closing square bracket, ]
.
Some examples of balanced brackets are []{}()
, [({})]{}()
and ({(){}[]})[]
.
By this logic, we say a sequence of brackets is considered to be balanced if the following conditions are met:
- It contains no unmatched brackets.
- The subset of brackets enclosed within the confines of a matched pair of brackets is also a matched pair of brackets.
Given strings of brackets, determine whether each sequence of brackets is balanced. If a string is balanced, print YES
on a new line; otherwise, print NO
on a new line.
Input Format
The first line contains a single integer, , denoting the number of strings.
Each line of the subsequent lines consists of a single string, , denoting a sequence of brackets.
Constraints
- , where is the length of the sequence.
- Each character in the sequence will be a bracket (i.e.,
{
,}
,(
,)
,[
, and]
).
Output Format
For each string, print whether or not the string of brackets is balanced on a new line. If the brackets are balanced, print YES
; otherwise, print NO
.
Sample Input
3{[()]}{[(])}{{[[(())]]}}
Sample Output
YESNOYES
Explanation
- The string
{[()]}
meets both criteria for being a balanced string, so we printYES
on a new line. - The string
{[(])}
is not balanced, because the brackets enclosed by the matched pairs[(]
and(])
are not balanced. Thus, we printNO
on a new line. - The string
{{[[(())]]}}
meets both criteria for being a balanced string, so we printYES
on a new line.
Source : https://www.hackerrank.com/challenges/ctci-balanced-brackets
Solution
// Karthikalapati.blogspot.com | |
// ArrayDeque is "likely to be faster than Stack when used as a stack" - Java documentation | |
// Time Complexity: O(n) | |
// Space Complexity: O(n) | |
/* Create HashMap to match opening brackets with closing brackets */ | |
static String isBalanced(String expression) { | |
HashMap<Character, Character> map = new HashMap(); | |
map.put('(', ')'); | |
map.put('[', ']'); | |
map.put('{', '}'); | |
return isBalanced(expression, map) ? "YES" : "NO"; | |
} | |
private static boolean isBalanced(String expression, HashMap<Character, Character> map) { | |
if ((expression.length() % 2) != 0) { | |
return false; // odd length Strings are not balanced | |
} | |
ArrayDeque<Character> deque = new ArrayDeque(); // use deque as a stack | |
for (int i = 0; i < expression.length(); i++) { | |
Character ch = expression.charAt(i); | |
if (map.containsKey(ch)) { | |
deque.push(ch); | |
} else if (deque.isEmpty() || ch != map.get(deque.pop())) { | |
return false; | |
} | |
} | |
return deque.isEmpty(); | |
} |
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