Tasks Details
easy
1.
Nesting
Determine whether a given string of parentheses (single type) is properly nested.
Task Score
100%
Correctness
100%
Performance
100%
A string S consisting of N characters is called properly nested if:
- S is empty;
- S has the form "(U)" where U is a properly nested string;
- S has the form "VW" where V and W are properly nested strings.
For example, string "(()(())())" is properly nested but string "())" isn't.
Write a function:
function solution(S);
that, given a string S consisting of N characters, returns 1 if string 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..1,000,000];
- string S is made only of the 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 6 minutes
Notes
not defined yet
Code: 09:02:59 UTC,
java,
autosave
Code: 09:04:07 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
}
Code: 09:04:37 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 open = 0;
}
Code: 09:05:03 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 open = 0;
for (let i = 0; i < A.length; i++) {
}
}
Code: 09:05:13 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 open = 0;
for (let i = 0; i < A.length; i++) {
if
}
}
Code: 09:05:25 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === )
}
}
Code: 09:05:55 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if
}
}
Code: 09:06:15 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
}
Code: 09:06:30 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
return
}
Code: 09:07:00 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
return open === 0 ?
}
Code: 09:07:08 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
return open === 0 ? 1 : 0;
}
Analysis
Code: 09:07:30 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
return open === 0 ? 1 : 0;
}
Code: 09:07:45 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
return open === 0 ? 1 : 0;
}
Code: 09:07:47 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
return open === 0 ? 1 : 0;
}
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: 0
function result: 0
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
Code: 09:08:00 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
return open === 0 ? 1 : 0;
}
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: 0
function result: 0
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
Code: 09:08:03 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 open = 0;
for (let i = 0; i < A.length; i++) {
if (A[i] === '(') {
open++;
} else {
open--;
}
if (open === -1) {
return 0;
}
}
return open === 0 ? 1 : 0;
}
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
1.
0.068 s
OK
1.
0.072 s
OK
2.
0.068 s
OK
3.
0.068 s
OK
1.
0.068 s
OK
2.
0.068 s
OK
3.
0.072 s
OK
expand all
Performance tests
1.
0.072 s
OK
2.
0.068 s
OK
3.
0.068 s
OK
1.
0.076 s
OK
2.
0.068 s
OK
multiple_full_binary_trees
sequence of full trees of the form T=(TT), depths [1..10..1], with/without unmatched ')' at the end, length=49K+
sequence of full trees of the form T=(TT), depths [1..10..1], with/without unmatched ')' at the end, length=49K+
✔
OK
1.
0.072 s
OK
2.
0.072 s
OK
3.
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=1 million
string of the form (TTT...T) of 300 T's, each T being '(((...)))' nested 200-fold, length=1 million
✔
OK
1.
0.096 s
OK
2.
0.068 s
OK