Tasks Details
easy
1.
Brackets
Determine whether a given string of parentheses (multiple types) is properly nested.
Task Score
100%
Correctness
100%
Performance
100%
A string S consisting of N characters is considered to be properly nested if any of the following conditions is true:
- S is empty;
- S has the form "(U)" or "[U]" or "{U}" where U is a properly nested string;
- S has the form "VW" where V and W are properly nested strings.
For example, the string "{[()()]}" is properly nested but "([)()]" is not.
Write a function:
function solution(S);
that, given a string S consisting of N characters, returns 1 if S is properly nested and 0 otherwise.
For example, given S = "{[()()]}", the function should return 1 and given S = "([)()]", the function should return 0, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [0..200,000];
- string S is made only of the following characters: '(', '{', '[', ']', '}' and/or ')'.
Copyright 2009–2025 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
Solution
Programming language used JavaScript
Time spent on task 3 minutes
Notes
not defined yet
Code: 19:26:20 UTC,
java,
autosave
Code: 19:26:30 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const CLOSINGS = { '(': ')', '{': '}', '[': ']' };
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (['(', '{', '['].includes(char)) {
stack.push(char);
} else if (CLOSINGS[stack.pop()] !== char) {
return 0;
}
}
return 1;
}
Code: 19:27:07 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const BR = { '(': ')', '{': '}', '[': ']' };
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (['(', '{', '['].includes(char)) {
stack.push(char);
} else if (CLOSINGS[stack.pop()] !== char) {
return 0;
}
}
return 1;
}
Code: 19:27:34 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const BRACKETS = { '(': ')', '{': '}', '[': ']' };
const OPENINGS = Object.keys(BRACKETS);
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (['(', '{', '['].includes(char)) {
stack.push(char);
} else if (CLOSINGS[stack.pop()] !== char) {
return 0;
}
}
return 1;
}
Code: 19:27:44 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const BRACKETS = { '(': ')', '{': '}', '[': ']' };
const OPENINGS = Object.keys(BRACKETS);
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (OPENINGS.includes(char)) {
stack.push(char);
} else if (BRACKETS[stack.pop()] !== char) {
return 0;
}
}
return 1;
}
Code: 19:28:11 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const BRACKETS = { '(': ')', '{': '}', '[': ']' };
const OPENINGS = Object.keys(BRACKETS);
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (OPENINGS.includes(char)) {
stack.push(char);
} else if (BRACKETS[stack.pop()] !== char) {
return 0;
}
}
if (stack.length !== 0) {
return 0;
}
return 1;
}
Code: 19:28:17 UTC,
js,
verify,
result: Failed
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const BRACKETS = { '(': ')', '{': '}', '[': ']' };
const OPENINGS = Object.keys(BRACKETS);
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (OPENINGS.includes(char)) {
stack.push(char);
} else if (BRACKETS[stack.pop()] !== char) {
return 0;
}
}
return stack.length === 0;
}
Analysis
expand all
Example tests
1.
0.072 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
Invalid result type, integer expected, 'boolean' found
1.
0.072 s
OK
Code: 19:28:35 UTC,
js,
verify,
result: Passed
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const BRACKETS = { '(': ')', '{': '}', '[': ']' };
const OPENINGS = Object.keys(BRACKETS);
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (OPENINGS.includes(char)) {
stack.push(char);
} else if (BRACKETS[stack.pop()] !== char) {
return 0;
}
}
if (stack.length !== 0) {
return 0;
}
return 1;
}
Analysis
Code: 19:28:38 UTC,
js,
verify,
result: Passed
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const BRACKETS = { '(': ')', '{': '}', '[': ']' };
const OPENINGS = Object.keys(BRACKETS);
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (OPENINGS.includes(char)) {
stack.push(char);
} else if (BRACKETS[stack.pop()] !== char) {
return 0;
}
}
if (stack.length !== 0) {
return 0;
}
return 1;
}
Analysis
Code: 19:28:41 UTC,
js,
final,
score: 
100
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
const BRACKETS = { '(': ')', '{': '}', '[': ']' };
const OPENINGS = Object.keys(BRACKETS);
const stack = [];
for (let i = 0; i < S.length; i++) {
const char = S[i];
if (OPENINGS.includes(char)) {
stack.push(char);
} else if (BRACKETS[stack.pop()] !== char) {
return 0;
}
}
if (stack.length !== 0) {
return 0;
}
return 1;
}
Analysis summary
The solution obtained perfect score.
Analysis
Detected time complexity:
O(N)
expand all
Correctness tests
1.
0.068 s
OK
2.
0.068 s
OK
3.
0.068 s
OK
4.
0.068 s
OK
5.
0.068 s
OK
1.
0.068 s
OK
1.
0.068 s
OK
2.
0.068 s
OK
3.
0.068 s
OK
4.
0.068 s
OK
5.
0.068 s
OK
expand all
Performance tests
1.
0.080 s
OK
2.
0.068 s
OK
3.
0.072 s
OK
1.
0.076 s
OK
2.
0.072 s
OK
3.
0.068 s
OK
1.
0.080 s
OK
multiple_full_binary_trees
sequence of full trees of the form T=(TT), depths [1..10..1], with/without some brackets at the end, length=49K+
sequence of full trees of the form T=(TT), depths [1..10..1], with/without some brackets at the end, length=49K+
✔
OK
1.
0.076 s
OK
2.
0.076 s
OK
3.
0.076 s
OK
4.
0.076 s
OK
5.
0.068 s
OK
broad_tree_with_deep_paths
string of the form [TTT...T] of 300 T's, each T being '{{{...}}}' nested 200-fold, length=120K+
string of the form [TTT...T] of 300 T's, each T being '{{{...}}}' nested 200-fold, length=120K+
✔
OK
1.
0.080 s
OK
2.
0.080 s
OK