Problem
Given an integer array nums
, design an algorithm to randomly shuffle the array. All permutations of the array should be equally likely as a result of the shuffling.
Implement the Solution
class:
Solution(int[] nums)
Initializes the object with the integer arraynums
.int[] reset()
Resets the array to its original configuration and returns it.int[] shuffle()
Returns a random shuffling of the array.
Example 1:
Input
["Solution", "shuffle", "reset", "shuffle"]
[[[1, 2, 3]], [], [], []]
Output
[null, [3, 1, 2], [1, 2, 3], [1, 3, 2]]
Explanation
Solution solution = new Solution([1, 2, 3]);
solution.shuffle(); // Shuffle the array [1,2,3] and return its result.
// Any permutation of [1,2,3] must be equally likely to be returned.
// Example: return [3, 1, 2]
solution.reset(); // Resets the array back to its original configuration [1,2,3]. Return [1, 2, 3]
solution.shuffle(); // Returns the random shuffling of array [1,2,3]. Example: return [1, 3, 2]
Constraints:
1 <= nums.length <= 50
-10^6 <= nums[i] <= 10^6
All the elements of
nums
are unique.At most
10^4
calls in total will be made toreset
andshuffle
.
Solution (Java)
class Solution {
private int[] nums;
private Random random;
public Solution(int[] nums) {
this.nums = nums;
this.random = new Random();
}
// Resets the array to its original configuration and return it.
public int[] reset() {
return this.nums;
}
// Returns a random shuffling of the array.
public int[] shuffle() {
int[] shuffled = this.nums.clone();
for (int i = nums.length - 1; i > 0; i--) {
int j = random.nextInt(i + 1);
swap(shuffled, i, j);
}
return shuffled;
}
private void swap(int[] shuffled, int i, int j) {
int tmp = shuffled[i];
shuffled[i] = shuffled[j];
shuffled[j] = tmp;
}
}
/**
* Your Solution object will be instantiated and called as such:
* Solution obj = new Solution(nums);
* int[] param_1 = obj.reset();
* int[] param_2 = obj.shuffle();
*/
Solution (Javascript)
/**
* @param {number[]} nums
*/
var Solution = function(nums) {
this.orignalNums = [...nums]
this.nums = [...nums]
};
/**
* @return {number[]}
*/
Solution.prototype.reset = function() {
this.nums = [...this.orignalNums]
return this.nums
};
/**
* @return {number[]}
*/
Solution.prototype.shuffle = function() {
for (let i = 0; i < this.nums.length; i++) {
const j = getRandomInt(i, this.nums.length)
;[this.nums[i], this.nums[j]] = [this.nums[j], this.nums[i]]
}
return this.nums
};
function getRandomInt(min, max) {
return Math.floor(Math.random() * (max - min) + min)
}
/**
* Your Solution object will be instantiated and called as such:
* var obj = new Solution(nums)
* var param_1 = obj.reset()
* var param_2 = obj.shuffle()
*/
Explain:
nope.
Complexity:
- Time complexity : O(n).
- Space complexity : O(n).