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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] 

Implementation 1 : Runtime = (kn) , Space = O(1)

import java.util.Arrays; public class App { public static void main(String[] args) { int[] input = {1, 2, 3, 4, 5, 6, 7}; rotate(input, 3); System.out.println(Arrays.toString(input));	} public static void rotate(int[] nums, int k) { for(int i = 1; i<= k; i++) { rotateArrayByOne(nums);	}	} public static void rotateArrayByOne(int[] nums) { int last = nums[nums.length-1]; for(int i = nums.length-2; i >= 0; i--) { nums[i+1] = nums[i];	} nums[0] = last;	} }

Above implementation have Runtime complexity of O(kn) and space complexity of O(1)

Runtime Complexity = O(kn) Space Complexity = O(1) 

Implementation 2 : Runtime = O(n) , Space = O(n)

import java.util.Arrays; public class App { public static void main(String[] args) { int[] input = { 1, 2}; rotate(input, 3); System.out.println(Arrays.toString(input));	} public static void rotate(int[] nums, int k) { int[] temp = new int[nums.length]; for(int i = 0; i < nums.length; i++) { temp[(i+k) % nums.length] = nums[i];	} for(int i = 0; i < temp.length; i++) { nums[i] = temp[i];	}	} }

Above implementation have Runtime complexity of O(n) and space complexity of O(n)

Runtime Complexity = O(n) Space Complexity = O(n) 

Implementation 3 : Runtime = O(n) , Space = O(k)

import java.util.Arrays; public class App { public static void main(String[] args) { int[] input = {1, 2}; rotate(input, 3); System.out.println(Arrays.toString(input));	} public static void rotate(int[] nums, int k) { k %= nums.length; int length = nums.length; int[] temp = new int[k]; for(int i = 0; i < k; i++) { temp[i] = nums[length - k + i];	} for(int i = length - k - 1; i >= 0; i--) { nums[i + k] = nums[i];	} for(int i = 0; i < k; i++) { nums[i] = temp[i];	}	} }

Above implementation have Runtime complexity of O(n) and space complexity of O(k)

Runtime Complexity = O(n) Space Complexity = O(k) 

Implementation 4 : Runtime = O(n) , Space = O(1)

import java.util.Arrays; public class App { public static void main(String[] args) { int[] input = { 1, 2, 3, 4, 5, 6, 7 }; rotate(input, 3); System.out.println(Arrays.toString(input));	} public static void rotate(int[] nums, int k) { k = k % nums.length; reverse(nums, nums.length - k, nums.length - 1); reverse(nums, 0, nums.length - k - 1); reverse(nums, 0, nums.length - 1);	} public static void reverse(int[] nums, int start, int end) { while (start < end) { int temp = nums[start]; nums[start++] = nums[end]; nums[end--] = temp;	}	} }

Above implementation have Runtime complexity of O(n) and space complexity of O(1)

Runtime Complexity = O(n) Space Complexity = O(1) 

Key Point :

k = k % nums.length;

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Rotate Array to right by k elements

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