@@ -23,17 +23,17 @@ private BalancedBrackets() {
2323 /**
2424 * Check if {@code leftBracket} and {@code rightBracket} is paired or not
2525 *
26- * @param leftBracket left bracket
26+ * @param leftBracket left bracket
2727 * @param rightBracket right bracket
2828 * @return {@code true} if {@code leftBracket} and {@code rightBracket} is
29- * paired, otherwise {@code false}
29+ * paired, otherwise {@code false}
3030 */
3131 public static boolean isPaired (char leftBracket , char rightBracket ) {
3232 char [][] pairedBrackets = {
33- { '(' , ')' },
34- { '[' , ']' },
35- { '{' , '}' },
36- { '<' , '>' },
33+ { '(' , ')' },
34+ { '[' , ']' },
35+ { '{' , '}' },
36+ { '<' , '>' },
3737 };
3838 for (char [] pairedBracket : pairedBrackets ) {
3939 if (pairedBracket [0 ] == leftBracket && pairedBracket [1 ] == rightBracket ) {
@@ -48,7 +48,7 @@ public static boolean isPaired(char leftBracket, char rightBracket) {
4848 *
4949 * @param brackets the brackets
5050 * @return {@code true} if {@code brackets} is balanced, otherwise
51- * {@code false}
51+ * {@code false}
5252 */
5353 public static boolean isBalanced (String brackets ) {
5454 if (brackets == null ) {
@@ -57,24 +57,34 @@ public static boolean isBalanced(String brackets) {
5757 Stack <Character > bracketsStack = new Stack <>();
5858 for (char bracket : brackets .toCharArray ()) {
5959 switch (bracket ) {
60- case '(' :
61- case '[' :
62- case '<' :
63- case '{' :
64- bracketsStack .push (bracket );
65- break ;
66- case ')' :
67- case ']' :
68- case '>' :
69- case '}' :
70- if (bracketsStack .isEmpty () || !isPaired (bracketsStack .pop (), bracket )) {
60+ case '(' :
61+ case '[' :
62+ case '<' :
63+ case '{' :
64+ bracketsStack .push (bracket );
65+ break ;
66+ case ')' :
67+ case ']' :
68+ case '>' :
69+ case '}' :
70+ if (bracketsStack .isEmpty () || !isPaired (bracketsStack .pop (), bracket )) {
71+ return false ;
72+ }
73+ break ;
74+ default :
7175 return false ;
72- }
73- break ;
74- default :
75- return false ;
7676 }
7777 }
7878 return bracketsStack .isEmpty ();
7979 }
8080}
81+ /**
82+ * Time Complexity: O(n)
83+ * Space Complexity: O(n)
84+ *
85+ * reasons:
86+ * 1. The time complexity of the isBalanced method is O(n), where n is the
87+ * length of the input string.
88+ * 2. The space complexity of the isBalanced method is O(n), where n is the
89+ * length of the input string.
90+ */
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