K个连续删除后的最大总和
给定一个大小为N的数组arr[]和一个整数K ,任务是从数组中删除K个连续元素,使得剩余元素的总和最大。这里我们需要打印数组的剩余元素。
例子:
Input: arr[] = {-1, 1, 2, -3, 2, 2}, K = 3
Output: -1 2 2
Delete 1, 2, -3 and the sum of the remaining
elements will be 3 which is maximum possible.
Input: arr[] = {1, 2, -3, 4, 5}, K = 1
Output: 1 2 4 5
方法:计算k个连续元素的总和,去掉总和最小的元素。打印数组的其余元素。
下面是上述方法的实现:
C++
// C++ implementation of the approach
#include
using namespace std;
// Function to print the array after removing
// k consecutive elements such that the sum
// of the remaining elements is maximized
void maxSumArr(int arr[], int n, int k)
{
int cur = 0, index = 0;
// Find the sum of first k elements
for (int i = 0; i < k; i++)
cur += arr[i];
// To store the minimum sum of k
// consecutive elements of the array
int min = cur;
for (int i = 0; i < n - k; i++) {
// Calculating sum of next k elements
cur = cur - arr[i] + arr[i + k];
// Update the minimum sum so far and the
// index of the first element
if (cur < min) {
cur = min;
index = i + 1;
}
}
// Printing result
for (int i = 0; i < index; i++)
cout << arr[i] << " ";
for (int i = index + k; i < n; i++)
cout << arr[i] << " ";
}
// Driver code
int main()
{
int arr[] = { -1, 1, 2, -3, 2, 2 };
int n = sizeof(arr) / sizeof(arr[0]);
int k = 3;
maxSumArr(arr, n, k);
return 0;
}
Java
// Java implementation of the approach
class GFG {
// Function to print the array after removing
// k consecutive elements such that the sum
// of the remaining elements is maximized
static void maxSumArr(int arr[], int n, int k)
{
int cur = 0, index = 0;
// Find the sum of first k elements
for (int i = 0; i < k; i++)
cur += arr[i];
// To store the minimum sum of k
// consecutive elements of the array
int min = cur;
for (int i = 0; i < n - k; i++) {
// Calculating sum of next k elements
cur = cur - arr[i] + arr[i + k];
// Update the minimum sum so far and the
// index of the first element
if (cur < min) {
cur = min;
index = i + 1;
}
}
// Printing result
for (int i = 0; i < index; i++)
System.out.print(arr[i] + " ");
for (int i = index + k; i < n; i++)
System.out.print(arr[i] + " ");
}
// Driver code
public static void main(String[] args)
{
int arr[] = { -1, 1, 2, -3, 2, 2 };
int n = arr.length;
int k = 3;
maxSumArr(arr, n, k);
}
}
Python
# Python3 implementation of the approach
# Function to print the array after removing
# k consecutive elements such that the sum
# of the remaining elements is maximized
def maxSumArr(arr, n, k):
cur = 0
index = 0
# Find the sum of first k elements
for i in range(k):
cur += arr[i]
# To store the minimum sum of k
# consecutive elements of the array
min = cur;
for i in range(n-k):
# Calculating sum of next k elements
cur = cur-arr[i]+arr[i + k]
# Update the minimum sum so far and the
# index of the first element
if(cur
C#
// C# implementation of the above approach
using System;
class GFG
{
// Function to print the array after removing
// k consecutive elements such that the sum
// of the remaining elements is maximized
static void maxSumArr(int []arr, int n, int k)
{
int cur = 0, index = 0;
// Find the sum of first k elements
for (int i = 0; i < k; i++)
cur = cur + arr[i];
// To store the minimum sum of k
// consecutive elements of the array
int min = cur;
for (int i = 0; i < n - k; i++)
{
// Calculating sum of next k elements
cur = (cur - arr[i]) + (arr[i + k]);
// Update the minimum sum so far and the
// index of the first element
if (cur < min)
{
cur = min;
index = i + 1;
}
}
// Printing result
for (int i = 0; i < index; i++)
Console.Write(arr[i] + " ");
for (int i = index + k; i < n; i++)
Console.Write(arr[i] + " ");
}
// Driver code
static public void Main ()
{
int []arr = { -1, 1, 2, -3, 2, 2 };
int n = arr.Length;
int k = 3;
maxSumArr(arr, n, k);
}
}
// This code is contributed by ajit..
Javascript
输出:
-1 2 2
时间复杂度: O(n)