题目

pow(x,n)


算法

* 直接模拟

* 直接模拟优化

* 迭代


代码

* 直接模拟

class Solution {
public:
    double myPow(double x, int n) {
        if (n < 0) return 1 / power(x, -n);
        return power(x, n);
    }
    double power(double x, int n) {
        if (n == 0) return 1;
        double half = power(x, n / 2);
        if (n % 2 == 0) return half * half;
        return x * half * half;
    }
};

* 直接模拟优化

class Solution {
public:
    double myPow(double x, int n) {
        if (n == 0) return 1;
        double half = myPow(x, n / 2);
        if (n % 2 == 0) return half * half;
        else if (n > 0) return half * half * x;
        else return half * half / x;
    }
};

* 迭代

class Solution {
public:
    double myPow(double x, int n) {
        double res = 1.0;
        for (int i = n; i != 0; i /= 2) {
            if (i % 2 != 0) res *= x;
            x *= x;
        }
        return n < 0 ? 1 / res : res;
    }
};

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