给定两个数字N和P。任务是生成一个包含所有正元素的数组,并且在一个操作中,您可以在数组中选择一个最小值,然后从所有数组元素中减去它。如果数组元素变为0,则将其删除。
您必须打印该数组和一个可能的数组的最小和,以便在精确执行P个步骤后,该数组将消失。
例子:
Input : N = 4, P = 2
Output :
The Minimum Possible Sum is: 5
The Array Elements are: 1 2 1 1
Explanation:
The array can be [1, 2, 1, 1] after 1st step it becomes [0, 1, 0, 0] and it becomes [1] and after step 2 it will be vanished.Thus the sum is 5 and it is minimum possible value.
Input : N = 3 , P = 1
Output :
The Minimum Possible Sum is: 3
The Array Elements are: 1 1 1
方法:可以通过遵循贪婪的方法来解决问题。首先,我们将放置第一个自然数,对于其余(N – P)个数,我们将其填充为1,因为我们必须使总和最小化。
因此,总和为P *(P + 1)/ 2 +(N – P) 。
下面是上述方法的实现:
C++
// C++ implementation of above approach
#include
using namespace std;
// Function to find the required array
void findArray(int N, int P)
{
// calculating minimum possible sum
int ans = (P * (P + 1)) / 2 + (N - P);
// Array
int arr[N + 1];
// place firts P natural elements
for (int i = 1; i <= P; i++)
arr[i] = i;
// Fill rest of the elements with 1
for (int i = P + 1; i <= N; i++)
arr[i] = 1;
cout << "The Minimum Possible Sum is: " << ans << "\n";
cout << "The Array Elements are: \n";
for (int i = 1; i <= N; i++)
cout << arr[i] << ' ';
}
// Driver Code
int main()
{
int N = 5, P = 3;
findArray(N, P);
return 0;
}
Java
// Java implementation of the approach
class GFG
{
// Function to find the required array
static void findArray(int N, int P)
{
// calculating minimum possible sum
int ans = (P * (P + 1)) / 2 + (N - P);
// Array
int arr[] = new int[N + 1];
// place firts P natural elements
for (int i = 1; i <= P; i++)
{
arr[i] = i;
}
// Fill rest of the elements with 1
for (int i = P + 1; i <= N; i++)
{
arr[i] = 1;
}
System.out.print("The Minimum Possible Sum is: " +
ans + "\n");
System.out.print("The Array Elements are: \n");
for (int i = 1; i <= N; i++)
{
System.out.print(arr[i] + " ");
}
}
// Driver Code
public static void main(String[] args)
{
int N = 5, P = 3;
findArray(N, P);
}
}
// This code contributed by Rajput-Ji
Python3
# Python3 implementation of above approach
# Function to find the required array
def findArray(N, P):
# calculating minimum possible sum
ans = (P * (P + 1)) // 2 + (N - P);
# Array
arr = [0] * (N + 1);
# place firts P natural elements
for i in range(1, P + 1):
arr[i] = i;
# Fill rest of the elements with 1
for i in range(P + 1, N + 1):
arr[i] = 1;
print("The Minimum Possible Sum is: ", ans);
print("The Array Elements are: ");
for i in range(1, N + 1):
print(arr[i], end = " ");
# Driver Code
N = 5;
P = 3;
findArray(N, P);
# This code is contributed by mits
C#
// C# implementation of the approach
using System;
class GFG
{
// Function to find the required array
static void findArray(int N, int P)
{
// calculating minimum possible sum
int ans = (P * (P + 1)) / 2 + (N - P);
// Array
int []arr = new int[N + 1];
// place firts P natural elements
for (int i = 1; i <= P; i++)
{
arr[i] = i;
}
// Fill rest of the elements with 1
for (int i = P + 1; i <= N; i++)
{
arr[i] = 1;
}
Console.Write("The Minimum Possible Sum is: " +
ans + "\n");
Console.Write("The Array Elements are: \n");
for (int i = 1; i <= N; i++)
{
Console.Write(arr[i] + " ");
}
}
// Driver Code
public static void Main()
{
int N = 5, P = 3;
findArray(N, P);
}
}
/* This code contributed by PrinciRaj1992 */
PHP
输出:
The Minimum Possible Sum is: 8
The Array Elements are:
1 2 3 1 1
时间复杂度: O(N)