Left Rotate an Array by One Place
Problem and examples
Given an array of integers, your task is to left rotate the array by 1 position. This means that each element moves one place to the left, and the first element is moved to the end of the array.
The operation should be performed in-place using an optimal solution, without using extra space for a new array.
If the array is empty or contains only one element, it should remain unchanged after rotation.
| Input Array | Output Array (After 1 Left Rotation) | Description |
|---|---|---|
| [1, 2, 3, 4, 5] | [2, 3, 4, 5, 1] | Normal case – first element moved to the endVisualization |
| [10] | [10] | Single-element array remains the sameVisualization |
| [] | [] | Empty array remains unchangedVisualization |
| [5, 10, 15] | [10, 15, 5] | All elements shifted left once, first element placed lastVisualization |
| [7, 8] | [8, 7] | Two-element array rotationVisualization |
| [0, 0, 0] | [0, 0, 0] | All elements are the same; rotation does not change the appearanceVisualization |
Explore Left Rotate an Array by One Place
Load an example or enter your own input. Use the player controls to follow each change.
Understanding the Problem
We are given an array, and our goal is to left rotate it by one position. This means that each element in the array should shift one position to the left, and the first element should move to the last position.
Let’s solve this step by step using an example. We'll also think like a beginner, and make sure we handle all the edge cases clearly.
Step-by-Step Example
Original Array:
[1, 2, 3, 4, 5]
Step 1: Save the first element
We store 1 in a temporary variable because it will be moved to the end later.
Step 2: Shift all other elements left
Move each element one step to the left:
[2, 3, 4, 5, _]
Step 3: Place the saved element at the end
Put 1 in the last position:
[2, 3, 4, 5, 1]
Final Result:
[2, 3, 4, 5, 1]
Edge Cases
1. Empty Array
If the array is [], there’s nothing to rotate. We return it as-is.
2. Single Element Array
If the array is [10], rotating it won't change anything since there's only one item.
3. All Elements Identical
If the array is [0, 0, 0], the result looks the same after rotation, but the operation is still performed internally.
- Given an array
arrof sizen. - Store the first element in a temporary variable
first. - Shift all elements of the array one position to the left (from index 1 to n-1).
- Assign
firstto the last index of the array. - The array is now left-rotated by one place.
Worked example
Let's left rotate the array by one position.
Store the first element 10 in a temporary variable.
Shift index 1
Move 20 from index 1 to index 0.
Shift index 2
Move 30 from index 2 to index 1.
Shift index 3
Move 40 from index 3 to index 2.
Shift index 4
Move 50 from index 4 to index 3.
Place the first element at the end
Set 10 to index 4.
Final Result:
Array after left rotation: [20, 30, 40, 50, 10]
Implementation and efficiency
C implementation
#include <stdio.h>
void leftRotateByOne(int arr[], int n) {
if (n == 0) return;
int first = arr[0];
for (int i = 1; i < n; i++) {
arr[i - 1] = arr[i];
}
arr[n - 1] = first;
}
int main() {
int arr[] = {10, 20, 30, 40, 50};
int n = sizeof(arr) / sizeof(arr[0]);
leftRotateByOne(arr, n);
printf("After Left Rotation: ");
for (int i = 0; i < n; i++) printf("%d ", arr[i]);
return 0;
}C++ implementation
#include <iostream>
#include <vector>
using namespace std;
void leftRotateByOne(vector<int>& arr) {
if (arr.empty()) return;
int first = arr[0];
for (int i = 1; i < arr.size(); i++) {
arr[i - 1] = arr[i];
}
arr[arr.size() - 1] = first;
}
int main() {
vector<int> arr = {10, 20, 30, 40, 50};
leftRotateByOne(arr);
cout << "After Left Rotation: ";
for (int num : arr) cout << num << " ";
return 0;
}Python implementation
def left_rotate_by_one(arr):
if not arr:
return arr
first = arr[0]
for i in range(1, len(arr)):
arr[i - 1] = arr[i]
arr[-1] = first
return arr
# Sample Input
arr = [10, 20, 30, 40, 50]
print("After Left Rotation:", left_rotate_by_one(arr))Java implementation
public class LeftRotateOne {
public static void leftRotateByOne(int[] arr) {
if (arr.length == 0) return;
int first = arr[0];
for (int i = 1; i < arr.length; i++) {
arr[i - 1] = arr[i];
}
arr[arr.length - 1] = first;
}
public static void main(String[] args) {
int[] arr = {10, 20, 30, 40, 50};
leftRotateByOne(arr);
System.out.print("After Left Rotation: ");
for (int num : arr) System.out.print(num + " ");
}
}JavaScript implementation
function leftRotateByOne(arr) {
if (arr.length === 0) return arr;
const first = arr[0];
for (let i = 1; i < arr.length; i++) {
arr[i - 1] = arr[i];
}
arr[arr.length - 1] = first;
return arr;
}
// Sample Input
const arr = [10, 20, 30, 40, 50];
console.log('After Left Rotation:', leftRotateByOne(arr));Go implementation
package main
import "fmt"
func leftRotateByOne(arr []int) {
if len(arr) == 0 {
return
}
first := arr[0]
for i := 1; i < len(arr); i++ {
arr[i-1] = arr[i]
}
arr[len(arr)-1] = first
}
func main() {
arr := []int{10, 20, 30, 40, 50}
leftRotateByOne(arr)
fmt.Print("After Left Rotation: ")
for _, val := range arr {
fmt.Print(val, " ")
}
}Rust implementation
fn left_rotate_by_one(arr: &mut Vec<i32>) {
if arr.is_empty() {
return;
}
let first = arr[0];
for i in 1..arr.len() {
arr[i - 1] = arr[i];
}
arr[arr.len() - 1] = first;
}
fn main() {
let mut arr = vec![10, 20, 30, 40, 50];
left_rotate_by_one(&mut arr);
print!("After Left Rotation: ");
for val in arr {
print!("{} ", val);
}
}Kotlin implementation
fun leftRotateByOne(arr: IntArray) {
if (arr.isEmpty()) return
val first = arr[0]
for (i in 1 until arr.size) {
arr[i - 1] = arr[i]
}
arr[arr.size - 1] = first
}
fun main() {
val arr = intArrayOf(10, 20, 30, 40, 50)
leftRotateByOne(arr)
print("After Left Rotation: ")
for (num in arr) print("$num ")
}Swift implementation
func leftRotateByOne(_ arr: inout [Int]) {
if arr.isEmpty { return }
let first = arr[0]
for i in 1..<arr.count {
arr[i - 1] = arr[i]
}
arr[arr.count - 1] = first
}
var arr = [10, 20, 30, 40, 50]
leftRotateByOne(&arr)
print("After Left Rotation:", terminator: " ")
for num in arr {
print(num, terminator: " ")
}TypeScript implementation
function leftRotateByOne(arr: number[]): number[] {
if (arr.length === 0) return arr;
const first = arr[0];
for (let i = 1; i < arr.length; i++) {
arr[i - 1] = arr[i];
}
arr[arr.length - 1] = first;
return arr;
}
// Sample Input
const arr: number[] = [10, 20, 30, 40, 50];
console.log('After Left Rotation:', leftRotateByOne(arr));Time complexity
| Case | Time | Explanation |
|---|---|---|
| best case | O(n) | Every element (except the first) needs to be shifted one position to the left, which takes linear time regardless of input. |
| average case | O(n) | In all scenarios, the array is traversed once to shift elements, resulting in linear time complexity. |
| worst case | O(n) | Even in the worst case, each element is moved exactly once, making the operation linear in the number of elements. |
Space complexity
O(1)
Only one temporary variable is used to store the first element. No additional space is required proportional to input size.