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 7 minutes
Notes
not defined yet
Task timeline
Code: 07:10:19 UTC,
java,
autosave
Code: 07:10:20 UTC,
java,
autosave
Code: 07:11:23 UTC,
js,
autosave
Code: 07:11:54 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == '('){
stack.push(S.charAt(i));
}
}
}
Code: 07:12:04 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == '('){
stack.push(S.charAt(i));
}
}
}
Code: 07:12:17 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == '('){
stack.push(S.charAt(i));
}
if(S.charAt(i) == ')'){
}
}
}
Code: 07:12:48 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == '('){
stack.push(S.charAt(i));
}
if(S.charAt(i) == ')'){
if(stack[stack.length-1] == '(')
}
}
}
Code: 07:13:09 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)
const N = S.length;
const open
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == '('){
stack.push(S.charAt(i));
}
if(S.charAt(i) == ')'){
if(stack[stack.length-1] == '(')
}
}
}
Code: 07:13:35 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == '('){
stack.push(S.charAt(i));
}
if(S.charAt(i) == ')'){
if(stack[stack.length-1] == '(')
}
}
}
Code: 07:13:46 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == charOpen){
stack.push(S.charAt(i));
}
if(S.charAt(i) == charClose){
if(stack[stack.length-1] == charOpen)
}
}
}
Code: 07:14:06 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == charOpen){
stack.push(S.charAt(i));
}
if(S.charAt(i) == charClose){
if(stack[stack.length-1] == charOpen){
stack.pop();
}
else{
}
}
}
}
Code: 07:15:04 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == charOpen){
stack.push(i);
}
if(S.charAt(i) == charClose){
if(stack[stack.length-1] == charOpen){
stack.pop();
}
else{
}
}
}
}
Code: 07:15:23 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == charOpen){
stack.push(i);
}
if(S.charAt(i) == charClose){
if(stack.length > 0){
stack.pop();
}
else{
}
}
}
}
Code: 07:15:39 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == charOpen){
stack.push(i);
}
if(S.charAt(i) == charClose){
if(stack.length > 0){
stack.pop();
}
else{
return 0;
}
}
}
}
Code: 07:16:06 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == charOpen){
stack.push(i);
}
if(S.charAt(i) == charClose){
if(stack.length > 0){
stack.pop();
}
else{
return 0;
}
}
}
if(stack.length > 0){
return 0;
}
else{
return 1;
}
}
Analysis
Code: 07:16:24 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == charOpen){
stack.push(i);
}
if(S.charAt(i) == charClose){
if(stack.length > 0){
stack.pop();
}
else{
return 0;
}
}
}
if(stack.length > 0){
return 0;
}
else{
return 1;
}
}
Analysis
Code: 07:16:27 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)
const N = S.length;
const charOpen = '(';
const charClose = ')';
let stack = [];
for(let i=0; i<N; i++){
if(S.charAt(i) == charOpen){
stack.push(i);
}
if(S.charAt(i) == charClose){
if(stack.length > 0){
stack.pop();
}
else{
return 0;
}
}
}
if(stack.length > 0){
return 0;
}
else{
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.
0.072 s
OK
1.
0.068 s
OK
1.
0.068 s
OK
2.
0.068 s
OK
3.
0.072 s
OK
1.
0.072 s
OK
2.
0.068 s
OK
3.
0.068 s
OK
expand all
Performance tests
1.
0.076 s
OK
2.
0.076 s
OK
3.
0.068 s
OK
1.
0.080 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.
0.076 s
OK
2.
0.076 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.
0.104 s
OK
2.
0.072 s
OK