189. Rotate Array
Given an array, rotate the array to the right by k steps, where k is non-negative.
Example 1:
Input:[1,2,3,4,5,6,7]
and k = 3 Output:[5,6,7,1,2,3,4]
Explanation: rotate 1 steps to the right:[7,1,2,3,4,5,6]
rotate 2 steps to the right:[6,7,1,2,3,4,5]
rotate 3 steps to the right:[5,6,7,1,2,3,4]
Example 2:
Input:[-1,-100,3,99]
and k = 2 Output: [3,99,-1,-100] Explanation: rotate 1 steps to the right: [99,-1,-100,3] rotate 2 steps to the right: [3,99,-1,-100]
Note:
- Try to come up as many solutions as you can, there are at least 3 different ways to solve this problem.
- Could you do it in-place with O(1) extra space?
Approach #1: Extra array. [Java]
class Solution { public void rotate1(int[] nums, int k) { int n = nums.length; int[] ans = new int[n]; int start = 0, next = 0; while (n--) { start = next; next = (start + k) % n; nums[next] = nums[start]; } for (int i = 0; i < n; ++i) { int rev = (i + k) % n; ans[rev] = nums[i]; } for (int i = 0; i < n; ++i) nums[i] = ans[i]; return ; } }
Approach #2: Reverse. [Java]
public class Solution { public void rotate(int[] nums, int k) { k %= nums.length; reverse(nums, 0, nums.length - 1); reverse(nums, 0, k - 1); reverse(nums, k, nums.length - 1); } public void reverse(int[] nums, int start, int end) { while (start < end) { int temp = nums[start]; nums[start] = nums[end]; nums[end] = temp; start++; end--; } } }
Approach #3: Cyclic Replacement. [Java]
public class Solution { public void rotate(int[] nums, int k) { k = k % nums.length; int count = 0; for (int start = 0; count < nums.length; start++) { int current = start; int prev = nums[start]; do { int next = (current + k) % nums.length; int temp = nums[next]; nums[next] = prev; prev = temp; current = next; count++; } while (start != current); } } }
永远渴望,大智若愚(stay hungry, stay foolish)