给出 n
代表生成括号的对数,请你写出一个函数,使其能够生成所有可能的并且有效的括号组合。
例如,给出n = 3
,生成结果为:
[
"((()))",
"(()())",
"(())()",
"()(())",
"()()()"
]
答案参考:
/**
* @param {number} n
* @return {string[]}
*/
var generateParenthesis = function(n) {
if (n == 1) {
return ["()"];
}
let maxCombo = [];
maxCombo[0] = 0;
for (let i = 1; i < n * 2; i++) {
if (i > n + 1) {
maxCombo[i] = 0;
} else {
maxCombo[i] = 1;
}
}
let maxComboCount = parseInt(maxCombo.join(''), 2);
let leastComboCount = parseInt(Array(n).fill(1).join(''), 2);
let results = [];
for (let i = leastComboCount; i < maxComboCount; i++) {
let binary = i.toString(2);
let balancer_0 = n * 2 - binary.length;
let balancer_1 = 0;
let cont = false;
let result = '';
for (let j = 0; j < balancer_0; j++) {
result += '(';
}
for (let j = 0; j < binary.length; j++) {
if (binary[j] == '0') {
balancer_0 += 1;
result += '(';
} else {
balancer_1 += 1;
result += ')';
}
if (balancer_1 > balancer_0) {
cont = true;
break;
}
}
if (cont || balancer_0 != balancer_1) {
continue;
}
results.push(result);
}
return results;
};
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