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 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
Solution
Programming language used JavaScript
Time spent on task 9 minutes
Notes
not defined yet
Task timeline
Code: 06:21:20 UTC,
java,
autosave
Code: 06:21:20 UTC,
java,
autosave
Code: 06:21:27 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
switch(S.chatAt(i)){
case '(':
case '{':
case '[':
stack.push(S.chatAt(i));
break;
case ')':
if(stack.top() == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack.top() == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack.top() == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
return stack.empty();
}
Analysis
expand all
Example tests
1.
0.072 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
TypeError: S.chatAt is not a function at solution (solution.js:10:18) 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
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
TypeError: S.chatAt is not a function at solution (solution.js:10:18) 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
Code: 06:21:51 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.chatAt(i));
break;
case ')':
if(stack.top() == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack.top() == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack.top() == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
return stack.empty();
}
Code: 06:21:58 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack.top() == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack.top() == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack.top() == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
return stack.empty();
}
Analysis
expand all
Example tests
1.
0.072 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
TypeError: stack.top is not a function at solution (solution.js:17:26) 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
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
TypeError: stack.top is not a function at solution (solution.js:17:26) 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
Code: 06:24:43 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++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack. == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack.top() == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack.top() == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
return stack.empty();
}
Code: 06:24:53 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++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack.top() == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack.top() == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
return stack.empty();
}
Code: 06:25:02 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
return stack.empty();
}
Analysis
expand all
Example tests
1.
0.124 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
TypeError: stack.empty is not a function at solution (solution.js:42:18) 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.
0.120 s
OK
Code: 06:25:31 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++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
if
return stack.empty();
}
Code: 06:25:57 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++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
if(!stack){
return 1;
}
else{
return 0;
}
}
Code: 06:25:58 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
if(!stack){
return 1;
}
else{
return 0;
}
}
Analysis
Code: 06:26:23 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
console.log(stack);
if(!stack){
return 1;
}
else{
return 0;
}
}
Analysis
Code: 06:28:45 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)
const N = S.length;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
console.log(stack);
if(stack){
return 1;
}
else{
return 0;
}
}
Code: 06:29:02 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;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
console.log(stack);
if(stack.length > 0){
return 0;
}
else{
return 1;
}
}
Analysis
Code: 06:29:14 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++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
if(stack.length > 0){
return 0;
}
else{
return 1;
}
}
Code: 06:29:52 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;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
if(stack.length > 0){
return 0;
}
else{
return 1;
}
}
Analysis
Code: 06:29:57 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;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
if(stack.length > 0){
return 0;
}
else{
return 1;
}
}
Analysis
Code: 06:29:59 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;
let stack = [];
for(let i=0; i<N; i++){
switch(S.charAt(i)){
case '(':
case '{':
case '[':
stack.push(S.charAt(i));
break;
case ')':
if(stack[stack.length-1] == '('){
stack.pop();
}
else{
return 0;
}
break;
case '}':
if(stack[stack.length-1] == '{'){
stack.pop();
}
else{
return 0;
}
break;
case ']':
if(stack[stack.length-1] == '['){
stack.pop();
}
else{
return 0;
}
break;
}
}
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.
0.072 s
OK
2.
0.072 s
OK
3.
0.072 s
OK
4.
0.072 s
OK
5.
0.072 s
OK
1.
0.072 s
OK
1.
0.072 s
OK
2.
0.072 s
OK
3.
0.072 s
OK
4.
0.072 s
OK
5.
0.072 s
OK
expand all
Performance tests
1.
0.096 s
OK
2.
0.072 s
OK
3.
0.080 s
OK
1.
0.076 s
OK
2.
0.072 s
OK
3.
0.072 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.
0.072 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.
0.084 s
OK
2.
0.080 s
OK