Tasks Details
easy
1.
Brackets
Determine whether a given string of parentheses (multiple types) is properly nested.
Task Score
0%
Correctness
0%
Performance
0%
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($S);
that, given a string S consisting of N characters, returns 1 if S is properly nested and 0 otherwise.
For example, given S = "{[()()]}", the function should return 1 and given S = "([)()]", the function should return 0, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [0..200,000];
- string S is made only of the following characters: '(', '{', '[', ']', '}' and/or ')'.
Copyright 2009–2025 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
Solution
Programming language used PHP
Time spent on task 57 minutes
Notes
not defined yet
Code: 02:43:01 UTC,
java,
autosave
Analysis
Code: 03:39:30 UTC,
php,
verify,
result: Failed
function solution($S) {
$ans = 0;
// rb: round bracket, sb: square bracket, br: brace
$rb = $sb = $br = 0;
// Split by one
$A = str_split($S, 1);
$N = count($A);
if(0 != ($N % 2)) {
return $ans;
}
while(($c = array_shift($A)) == true) {
if($c = '(' && $rb == 0) { $rb++; }
if($c = '[' && $sb == 0) { $sb++; }
if($c = '{' && $br == 0) { $br++; }
if($c = '}') { $br--; }
if($c = ']') { $sb--; }
if($c = ')') { $rb--; }
}
if(($rb || $sb || $br) == 0) {
$ans = 1;
} else {
$ans = 0;
}
return $ans;
}
Analysis
Code: 03:39:37 UTC,
php,
verify,
result: Failed
function solution($S) {
$ans = 0;
// rb: round bracket, sb: square bracket, br: brace
$rb = $sb = $br = 0;
// Split by one
$A = str_split($S, 1);
$N = count($A);
if(0 != ($N % 2)) {
return $ans;
}
while(($c = array_shift($A)) == true) {
if($c = '(' && $rb == 0) { $rb++; }
if($c = '[' && $sb == 0) { $sb++; }
if($c = '{' && $br == 0) { $br++; }
if($c = '}') { $br--; }
if($c = ']') { $sb--; }
if($c = ')') { $rb--; }
}
if(($rb || $sb || $br) == 0) {
$ans = 1;
} else {
$ans = 0;
}
return $ans;
}
Analysis
Code: 03:39:40 UTC,
php,
final,
score: 
0
function solution($S) {
$ans = 0;
// rb: round bracket, sb: square bracket, br: brace
$rb = $sb = $br = 0;
// Split by one
$A = str_split($S, 1);
$N = count($A);
if(0 != ($N % 2)) {
return $ans;
}
while(($c = array_shift($A)) == true) {
if($c = '(' && $rb == 0) { $rb++; }
if($c = '[' && $sb == 0) { $sb++; }
if($c = '{' && $br == 0) { $br++; }
if($c = '}') { $br--; }
if($c = ']') { $sb--; }
if($c = ')') { $rb--; }
}
if(($rb || $sb || $br) == 0) {
$ans = 1;
} else {
$ans = 0;
}
return $ans;
}
Analysis summary
The following issues have been detected: wrong answers, timeout errors.
For example, for the input '([)()]' the solution returned a wrong answer (got 1 expected 0).
Analysis
expand all
Correctness tests
1.
0.004 s
WRONG ANSWER,
got 1 expected 0
2.
0.004 s
WRONG ANSWER,
got 1 expected 0
3.
0.004 s
WRONG ANSWER,
got 1 expected 0
4.
0.004 s
WRONG ANSWER,
got 1 expected 0
5.
0.004 s
WRONG ANSWER,
got 1 expected 0
1.
0.004 s
WRONG ANSWER,
got 0 expected 1
simple_grouped
simple grouped positive and negative test, length=22
simple grouped positive and negative test, length=22
✘
WRONG ANSWER
got 1 expected 0
got 1 expected 0
1.
0.004 s
OK
2.
0.004 s
WRONG ANSWER,
got 1 expected 0
3.
0.004 s
WRONG ANSWER,
got 1 expected 0
4.
0.004 s
WRONG ANSWER,
got 1 expected 0
5.
0.004 s
OK
expand all
Performance tests
large1
simple large positive test, 100K ('s followed by 100K )'s + )(
simple large positive test, 100K ('s followed by 100K )'s + )(
✘
TIMEOUT ERROR
running time: >6.00 sec., time limit: 0.14 sec.
running time: >6.00 sec., time limit: 0.14 sec.
1.
6.000 s
TIMEOUT ERROR,
running time: >6.00 sec., time limit: 0.14 sec.
2.
0.004 s
WRONG ANSWER,
got 1 expected 0
3.
0.288 s
TIMEOUT ERROR,
running time: 0.29 sec., time limit: 0.10 sec.
large2
simple large negative test, 10K+1 ('s followed by 10K )'s + )( + ()
simple large negative test, 10K+1 ('s followed by 10K )'s + )( + ()
✘
WRONG ANSWER
got 1 expected 0
got 1 expected 0
1.
0.004 s
OK
2.
0.004 s
WRONG ANSWER,
got 1 expected 0
3.
0.004 s
OK
large_full_ternary_tree
tree of the form T=(TTT) and depth 11, length=177K+
tree of the form T=(TTT) and depth 11, length=177K+
✘
TIMEOUT ERROR
running time: >6.00 sec., time limit: 0.13 sec.
running time: >6.00 sec., time limit: 0.13 sec.
1.
6.000 s
TIMEOUT ERROR,
running time: >6.00 sec., time limit: 0.13 sec.
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+
✘
TIMEOUT ERROR
running time: 3.50 sec., time limit: 0.10 sec.
running time: 3.50 sec., time limit: 0.10 sec.
1.
3.504 s
TIMEOUT ERROR,
running time: 3.50 sec., time limit: 0.10 sec.
2.
0.008 s
OK
3.
3.504 s
TIMEOUT ERROR,
running time: 3.50 sec., time limit: 0.10 sec.
4.
3.548 s
TIMEOUT ERROR,
running time: 3.55 sec., time limit: 0.10 sec.
5.
3.516 s
TIMEOUT ERROR,
running time: 3.52 sec., time limit: 0.10 sec.
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+
✘
TIMEOUT ERROR
running time: >6.00 sec., time limit: 0.11 sec.
running time: >6.00 sec., time limit: 0.11 sec.
1.
6.000 s
TIMEOUT ERROR,
running time: >6.00 sec., time limit: 0.11 sec.
2.
6.000 s
TIMEOUT ERROR,
running time: >6.00 sec., time limit: 0.11 sec.