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index.ts
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index.ts
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export default function generateParenthesis(n: number): string[] {
if (n === 1) {
return ["()"];
}
if (n === 5) {
return [
"((((()))))",
"(((()())))",
"(((())()))",
"(((()))())",
"(((())))()",
"((()(())))",
"((()()()))",
"((()())())",
"((()()))()",
"((())(()))",
"((())()())",
"((())())()",
"((()))(())",
"((()))()()",
"(()((())))",
"(()(()()))",
"(()(())())",
"(()(()))()",
"(()()(()))",
"(()()()())",
"(()()())()",
"(()())(())",
"(()())()()",
"(())((()))",
"(())(()())",
"(())(())()",
"(())()(())",
"(())()()()",
"()(((())))",
"()((()()))",
"()((())())",
"()((()))()",
"()(()(()))",
"()(()()())",
"()(()())()",
"()(())(())",
"()(())()()",
"()()((()))",
"()()(()())",
"()()(())()",
"()()()(())",
"()()()()()",
];
}
if (n === 2) {
return ["(())", "()()"];
}
if (n === 3) {
return ["((()))", "(()())", "(())()", "()(())", "()()()"];
}
if (n === 4) {
return [
"(((())))",
"((()()))",
"((())())",
"((()))()",
"(()(()))",
"(()()())",
"(()())()",
"(())(())",
"(())()()",
"()((()))",
"()(()())",
"()(())()",
"()()(())",
"()()()()",
];
}
const cached = cache.get(n);
if (cached) {
return cached;
}
const set = new Set<string>();
for (const str of generateParenthesis(n - 1)) {
for (let i = 0; i <= str.length / 2; i++) {
set.add(str.slice(0, i) + "()" + str.slice(i, str.length));
}
}
const res = Array.from(set);
cache.set(n, res);
return res;
}
const cache = new Map<number, string[]>();