Determine whether a given string of parentheses (multiple types) is properly nested.
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 consists only of the following characters: "(", "{", "[", "]", "}" and/or ")".
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function solution(S) {
const nested = [];
for (let i = 0; i < S.length; i++) {
if (S[i] === '{' || S[i] === '[' || S[i] === '(') {
nested.push(S[i]);
} else if (
(S[i] === '}' && nested[nested.length - 1] === '{') ||
(S[i] === ']' && nested[nested.length - 1] === '[') ||
(S[i] === ')' && nested[nested.length - 1] === '(')
) {
nested.pop();
} else {
return 0;
}
}
if (nested.length === 0) {
return 1;
} else {
return 0;
}
}