根据给定的规则生成大小为 N 的数组

给定一个数字N ，任务是创建一个大小为N的数组arr[] ，其中每个索引i处的元素值根据以下规则填充：

1. arr[i] = ((i – 1) – k) ，其中 k 是最近出现的 arr[i – 1] 的索引。当arr[i – 1]在数组中出现多次时应用此规则
2. arr[i] = 0 。当arr[i – 1]仅出现一次或当i = 1时应用此规则。

例子：

Input: N = 8 
Output: 0 0 1 0 2 0 2 2 
Explanation: 
For i = 0: There is no element in the array arr[]. So, 0 is placed in the first index. arr[] = {0}. 
For i = 1: There is only one element in the array arr[]. The occurrence of arr[i – 1] (= 0) is only one. Therefore, the array is filled according to the rule 2. arr = {0, 0}. 
For i = 2: There are two elements in the array. The second most occurrence of arr[i – 1] = arr[0] = 0. So, arr[2] = 1. arr[] = {0, 0, 1}. 
For i = 3: There is no second occurrence of arr[i – 1] = 1. Therefore, arr[3] = 0. arr[] = {0, 0, 1, 0} 
For i = 4: The second recent occurrence of arr[i – 1] = 0 is 1. Therefore, (i – 1 – k) = (4 – 1 – 1) = 2. arr[] = {0, 0, 1, 0, 2}. 
For i = 5: There is only one occurrence of arr[i – 1] = 2. Therefore, arr[5] = 0. arr[] = {0, 0, 1, 0, 2, 0}. 
For i = 6: The second recent occurrence of arr[i – 1] = 0 is 3. Therefore, (i – 1 – k) = (6 – 1 – 3) = 2. arr[] = {0, 0, 1, 0, 2, 0, 2}. 
For i = 7: The second recent occurrence of arr[i – 1] = 2 is 4. Therefore, (i – 1 – k) = (7 – 1 – 4) = 2. arr[] = {0, 0, 1, 0, 2, 0, 2, 2}
Input: N = 5 
Output: 0 0 1 0 2 
 

方法：这个想法是首先创建一个填充大小为 N 的零的数组。然后对于每次迭代，我们搜索元素是否在最近发生过。如果是，那么我们遵循规则 1 。否则，遵循规则 2来填充数组。
下面是上述方法的实现：

C++

// C++ implementation to generate
// an array of size N by following
// the given rules
#include 
using namespace std;
 
// Function to search the most recent
// location of element N
// If not present in the array
// it will return -1
int search(int a[], int k, int x)
{
    int j;
     
    for ( j = k - 1; j > -1 ; j--)
    {
        if(a[j] == x)
            return j ;
    }
                 
        return -1 ;
}
 
// Function to generate an array
// of size N by following the given rules
void genArray(int arr[], int N)
{
 
    // Loop to fill the array
    // as per the given rules
    for(int i = 0; i < N - 1; i++)
    {
 
        // Check for the occurrence
        // of arr[i - 1]
        if(search(arr, i, arr[i]) == -1)
                arr[i + 1] = 0 ;
 
        else
            arr[i + 1] = (i-search(arr, i, arr[i])) ;
    }
}
 
// Driver code
int main()
{
    int N = 5 ;
    int size = N + 1 ;
    int a[] = {0, 0, 0, 0, 0};
    genArray(a, N) ;
     
    for (int i = 0; i < N ; i ++)
        cout << a[i] << " " ;
        return 0;
}
 
 
// This code is contributed by shivanisinghss2110

Java

// Java implementation to generate
// an array of size N by following
// the given rules
class GFG
{
 
static int a[];
 
// Function to search the most recent
// location of element N
// If not present in the array
// it will return -1
static int search(int a[],int k, int x)
{
    int j;
     
    for ( j = k - 1; j > -1 ; j--)
    {
            if(a[j] == x)
                return j ;
        }
                 
        return -1 ;
}
 
// Function to generate an array
// of size N by following the given rules
static void genArray(int []arr, int N)
{
 
    // Loop to fill the array
    // as per the given rules
    for(int i = 0; i < N - 1; i++)
    {
 
        // Check for the occurrence
        // of arr[i - 1]
        if(search(arr, i, arr[i]) == -1)
                arr[i + 1] = 0 ;
 
        else
            arr[i + 1] = (i-search(arr, i, arr[i])) ;
    }
}
 
// Driver code
public static void main (String[] args)
{
    int N = 5 ;
    int size = N + 1 ;
    int a[] = new int [N];
    genArray(a, N) ;
     
    for (int i = 0; i < N ; i ++)
        System.out.print(a[i]+" " );
 
}
}
 
// This code is contributed by Yash_R

Python3

# Python implementation to generate
# an array of size N by following
# the given rules
 
 
# Function to search the most recent
# location of element N
# If not present in the array
# it will return -1
def search(a, k, x):
        for j in range(k-1, -1, -1) :
            if(a[j]== x):
                return j
                 
        return -1
 
# Function to generate an array
# of size N by following the given rules
def genArray(arr, N):
 
    # Loop to fill the array
    # as per the given rules
    for i in range(0, N-1, 1):
 
        # Check for the occurrence
        # of arr[i - 1]
        if(search(arr, i, arr[i])==-1):
                arr[i + 1]= 0
 
        else:
            arr[i + 1]=(i-search(arr, i, arr[i]))
             
# Driver code     
if __name__ == "__main__":
    N = 5
    size = N + 1
    a =[0]*N
    genArray(a, N)
     
    print(a)

C#

// C# implementation to generate
// an array of size N by following
// the given rules
 
using System;
 
public class GFG
{
 
static int []a;
 
// Function to search the most recent
// location of element N
// If not present in the array
// it will return -1
static int search(int []a,int k, int x)
{
    int j;
     
    for ( j = k - 1; j > -1 ; j--)
    {
            if(a[j] == x)
                return j ;
        }
                 
        return -1 ;
}
 
// Function to generate an array
// of size N by following the given rules
static void genArray(int []arr, int N)
{
 
    // Loop to fill the array
    // as per the given rules
    for(int i = 0; i < N - 1; i++)
    {
 
        // Check for the occurrence
        // of arr[i - 1]
        if(search(arr, i, arr[i]) == -1)
                arr[i + 1] = 0 ;
 
        else
            arr[i + 1] = (i-search(arr, i, arr[i])) ;
    }
}
 
// Driver code
public static void Main (string[] args)
{
    int N = 5 ;
    int size = N + 1 ;
    int []a = new int [N];
    genArray(a, N) ;
     
    for (int i = 0; i < N ; i ++)
        Console.Write(a[i]+" " );
 
}
}
// This code is contributed by AnkitRai01

Javascript

 
// Javascript implementation to generate
// an array of size N by following
// the given rules
 
// Function to search the most recent
// location of element N
// If not present in the array
// it will return -1
function search( a, k, x)
{
    var j;
     
    for ( j = k - 1; j > -1 ; j--)
    {
        if(a[j] == x)
            return j ;
    }
                 
        return -1 ;
}
 
// Function to generate an array
// of size N by following the given rules
function genArray(arr, N)
{
 
    // Loop to fill the array
    // as per the given rules
    for(var i = 0; i < N - 1; i++)
    {
 
        // Check for the occurrence
        // of arr[i - 1]
        if(search(arr, i, arr[i]) == -1)
                arr[i + 1] = 0 ;
 
        else
            arr[i + 1] = (i-search(arr, i, arr[i])) ;
    }
}
 
// Driver code
var N = 5 ;
var size = N + 1 ;
var a = [0, 0, 0, 0, 0];
genArray(a, N) ;
document.write("["+a+"]");
 
// This code is contributed by rutvik_56.

输出：

[0, 0, 1, 0, 2]

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