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 7 minutes
Notes
not defined yet
Code: 08:28:19 UTC,
java,
autosave
Code: 08:29:49 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket in A) {
}
}
Code: 08:30:19 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' )
}
}
Code: 08:30:50 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if ()
}
}
Code: 08:31:12 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if ((bra))
}
}
Code: 08:31:22 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
(bra)
) {
}
}
}
Code: 08:31:51 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
(bracket === ')') && brackets[brackets.length-1]
) {
}
}
}
Code: 08:32:08 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(')
) {
}
}
}
Code: 08:32:23 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ')') && brackets[brackets.length-1] === '(')
) {
}
}
}
Code: 08:32:33 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '{') && brackets[brackets.length-1] === '(')
) {
}
}
}
Code: 08:33:03 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
bracket.pop();
} else {
return 0;
}
}
return brack
}
Code: 08:33:19 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
bracket.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 1;
}
Code: 08:33:20 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) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
bracket.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 1;
}
Analysis
expand all
Example tests
1.
0.072 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
TypeError: bracket.pop is not a function at solution (solution.js:21:20) at solutionWrapper (/tmp/exec.js:394:28) at Promise.resolve.then (/tmp/exec.js:420:24) at <anonymous> at process._tickCallback (internal/process/next_tick.js:188:7) at Function.Module.runMain (module.js:686:11) at startup (bootstrap_node.js:187:16) at bootstrap_node.js:608:3
1.
0.072 s
OK
Code: 08:33:30 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) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
brackets.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 1;
}
Analysis
Code: 08:33:49 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
brackets.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 1;
}
Code: 08:34:14 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) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
brackets.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 1;
}
User test case 1:
['']
User test case 2:
['[]']
User test case 3:
['[({})]']
User test case 4:
['([]{}{}{{})}']
Analysis
expand all
User tests
1.
0.068 s
OK
function result: 1
function result: 1
1.
0.068 s
OK
function result: 1
function result: 1
1.
0.068 s
OK
function result: 1
function result: 1
1.
0.068 s
OK
function result: 0
function result: 0
Code: 08:34:21 UTC,
js,
autosave
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(S) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
brackets.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 1;
}
Code: 08:34:25 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) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
brackets.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 1;
}
User test case 1:
['']
User test case 2:
['[]']
User test case 3:
['[({})]']
User test case 4:
['([]{}{}{{})}']
User test case 5:
['[']
Analysis
Code: 08:34:38 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) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
brackets.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 1;
}
User test case 1:
['']
User test case 2:
['[]']
User test case 3:
['[({})]']
User test case 4:
['([]{}{}{{})}']
User test case 5:
['[']
Analysis
Code: 08:34:41 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) {
// write your code in JavaScript (Node.js 8.9.4)
if (S.length === 0) {
return 1;
} else if (S.length % 2 === 1) {
return 0;
}
let A = S.split('');
let brackets = [];
for (bracket of A) {
if (bracket === '(' || bracket === '[' || bracket === '{') {
brackets.push(bracket);
} else if (
((bracket === ')') && brackets[brackets.length-1] === '(') ||
((bracket === ']') && brackets[brackets.length-1] === '[') ||
((bracket === '}') && brackets[brackets.length-1] === '{')
) {
brackets.pop();
} else {
return 0;
}
}
return brackets.length ? 0 : 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.
0.264 s
OK
2.
0.068 s
OK
3.
0.088 s
OK
1.
0.068 s
OK
2.
0.068 s
OK
3.
0.068 s
OK
1.
0.236 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.
0.120 s
OK
2.
0.068 s
OK
3.
0.120 s
OK
4.
0.120 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.
0.216 s
OK
2.
0.216 s
OK