[LeetCode]384. Shuffle an Array

实现洗牌算法

Posted by JinFei on November 12, 2021

题目描述

Shuffle a set of numbers without duplicates.

Example1:

  // Init an array with set 1, 2, and 3.
    int[] nums = {1,2,3};
    Solution solution = new Solution(nums);
    // Shuffle the array [1,2,3] and return its result. Any permutation of [1,2,3] must equally likely to       be returned.
    solution.shuffle();

    // Resets the array back to its original configuration [1,2,3].
    solution.reset();

    // Returns the random shuffling of array [1,2,3].
    solution.shuffle();

解题思路

  • 我们遍历数组每个位置,每次都随机生成一个坐标位置,然后交换当前遍历位置和随机生成的坐标位置的数字,这样如果数组有n个数字,那么我们也随机交换了n组位置,从而达到了洗牌的目的
  • 这里需要注意的是i + rand() % (res.size() - i)不能写成rand() % res.size(),虽然也能通过OJ,但是那种写法不是真正的随机分布,应该使用Knuth shuffle算法
class Solution {
public:
    Solution(vector<int>& nums) {
        v = nums;
    }

    /** Resets the array to its original configuration and return it. */
    vector<int> reset() {
        return v;
    }
    
    /** Returns a random shuffling of the array. */
    vector<int> shuffle() {
        vector<int> res(v);
        for(int i = 0; i < res.size(); i++){
            // int t = rand() % res.size();
            int t = i + rand() % (res.size() - i);
            swap(res[i], res[t]);
        }
        return res;
    }
private:
    vector<int> v;
};

/**
 * Your Solution object will be instantiated and called as such:
 * Solution* obj = new Solution(nums);
 * vector<int> param_1 = obj->reset();
 * vector<int> param_2 = obj->shuffle();
 */