给定一个大小为N的整数数组arr [] ,任务是打印该数组所有可能的旋转。
例子:
Input: arr[] = {1, 2, 3, 4}
Output: {1, 2, 3, 4}, {4, 1, 2, 3}, {3, 4, 1, 2}, {2, 3, 4, 1}
Explaination:
Initial arr[] = {1, 2, 3, 4}
After first rotation arr[] = {4, 1, 2, 3}
After second rotation arr[] = {3, 4, 1, 2}
After third rotation arr[] = {2, 3, 4, 1}
After fourth rotation, arr[] returns to its original form.
Input: arr[] = [1]
Output: [1]
方法:
请按照以下步骤解决问题:
- 通过逐一执行数组的左旋转,生成数组的所有可能的旋转。
- 打印阵列的所有可能的旋转,直到遇到阵列的相同旋转为止。
下面是上述方法的实现:
C++
// C++ program to print
// all possible rotations
// of the given array
#include
using namespace std;
// Global declaration of array
int arr[10000];
// Function to reverse array
// between indices s and e
void reverse(int arr[],
int s, int e)
{
while(s < e)
{
int tem = arr[s];
arr[s] = arr[e];
arr[e] = tem;
s = s + 1;
e = e - 1;
}
}
// Function to generate all
// possible rotations of array
void fun(int arr[], int k)
{
int n = 4 - 1;
int v = n - k;
if (v >= 0)
{
reverse(arr, 0, v);
reverse(arr, v + 1, n);
reverse(arr, 0, n);
}
}
// Driver code
int main()
{
arr[0] = 1;
arr[1] = 2;
arr[2] = 3;
arr[3] = 4;
for(int i = 0; i < 4; i++)
{
fun(arr, i);
cout << ("[");
for(int j = 0; j < 4; j++)
{
cout << (arr[j]) << ", ";
}
cout << ("]");
}
}
// This code is contributed by Princi Singh
Java
// Java program to print
// all possible rotations
// of the given array
class GFG{
// Global declaration of array
static int arr[] = new int[10000];
// Function to reverse array
// between indices s and e
public static void reverse(int arr[],
int s, int e)
{
while(s < e)
{
int tem = arr[s];
arr[s] = arr[e];
arr[e] = tem;
s = s + 1;
e = e - 1;
}
}
// Function to generate all
// possible rotations of array
public static void fun(int arr[], int k)
{
int n = 4 - 1;
int v = n - k;
if (v >= 0)
{
reverse(arr, 0, v);
reverse(arr, v + 1, n);
reverse(arr, 0, n);
}
}
// Driver code
public static void main(String args[])
{
arr[0] = 1;
arr[1] = 2;
arr[2] = 3;
arr[3] = 4;
for(int i = 0; i < 4; i++)
{
fun(arr, i);
System.out.print("[");
for(int j = 0; j < 4; j++)
{
System.out.print(arr[j] + ", ");
}
System.out.print("]");
}
}
}
// This code is contributed by gk74533
Python
# Python program to print
# all possible rotations
# of the given array
# Function to reverse array
# between indices s and e
def reverse(arr, s, e):
while s < e:
tem = arr[s]
arr[s] = arr[e]
arr[e] = tem
s = s + 1
e = e - 1
# Function to generate all
# possible rotations of array
def fun(arr, k):
n = len(arr)-1
# k = k % n
v = n - k
if v>= 0:
reverse(arr, 0, v)
reverse(arr, v + 1, n)
reverse(arr, 0, n)
return arr
# Driver Code
arr = [1, 2, 3, 4]
for i in range(0, len(arr)):
count = 0
p = fun(arr, i)
print(p, end =" ")
C#
// C# program to print
// all possible rotations
// of the given array
using System;
class GFG{
// Global declaration of array
static int []arr = new int[10000];
// Function to reverse array
// between indices s and e
public static void reverse(int []arr,
int s, int e)
{
while(s < e)
{
int tem = arr[s];
arr[s] = arr[e];
arr[e] = tem;
s = s + 1;
e = e - 1;
}
}
// Function to generate all
// possible rotations of array
public static void fun(int []arr, int k)
{
int n = 4 - 1;
int v = n - k;
if (v >= 0)
{
reverse(arr, 0, v);
reverse(arr, v + 1, n);
reverse(arr, 0, n);
}
}
// Driver code
public static void Main(String []args)
{
arr[0] = 1;
arr[1] = 2;
arr[2] = 3;
arr[3] = 4;
for(int i = 0; i < 4; i++)
{
fun(arr, i);
Console.Write("[");
for(int j = 0; j < 4; j++)
{
Console.Write(arr[j] + ", ");
}
Console.Write("]");
}
}
}
// This code is contributed by Rajput-Ji
Javascript
输出:
[1, 2, 3, 4] [4, 1, 2, 3] [2, 3, 4, 1] [3, 4, 1, 2]
时间复杂度: O(N 2 )
辅助空间: O(1)