大小为k的子数组的最大和
大小为k的子数组的最大和
题目
在给定数组中,求"连续k个元素的子数组"的最大和。
示例1:
输入:[2, 1, 5, 1, 3, 2], k=3
输出:9
解释:子数组[5, 1, 3]的和最大
示例2:
输入:[2, 3, 4, 1, 5], k=2
输出:7
解释:子数组[3, 4]的和最大
解答1:滑动窗口
class MaxSumSubArrayOfSizeK {
public static int findMaxSumSubArray(int k, int[] arr) {
int maxSum = 0, windowSum;
for (int i = 0; i <= arr.length - k; i++) {
windowSum = 0;
for (int j = i; j < i + k; j++) {
windowSum += arr[j];
}
maxSum = Math.max(maxSum, windowSum);
}
return maxSum;
}
public static void main(String[] args) {
System.out.println("Maximum sum of a subarray of size K: "
+ MaxSumSubArrayOfSizeK.findMaxSumSubArray(3, new int[] { 2, 1, 5, 1, 3, 2 }));
System.out.println("Maximum sum of a subarray of size K: "
+ MaxSumSubArrayOfSizeK.findMaxSumSubArray(2, new int[] { 2, 3, 4, 1, 5 }));
}
}
class MaxSumSubArrayOfSizeK {
static findMaxSumSubArray(k, arr) {
let maxSum = 0;
for (let i = 0; i <= arr.length - k; i++) {
let windowSum = 0;
for (let j = i; j < i + k; j++) {
windowSum += arr[j];
}
maxSum = Math.max(maxSum, windowSum);
}
return maxSum;
}
}
console.log("Maximum sum of a subarray of size K: " + MaxSumSubArrayOfSizeK.findMaxSumSubArray(3, [2, 1, 5, 1, 3, 2]));
console.log("Maximum sum of a subarray of size K: " + MaxSumSubArrayOfSizeK.findMaxSumSubArray(2, [2, 3, 4, 1, 5]));
class MaxSumSubArrayOfSizeK:
@staticmethod
def findMaxSumSubArray(k, arr):
maxSum = 0
for i in range(len(arr) - k + 1):
windowSum = 0
for j in range(i, i + k):
windowSum += arr[j]
maxSum = max(maxSum, windowSum)
return maxSum
print("Maximum sum of a subarray of size K:",
MaxSumSubArrayOfSizeK.findMaxSumSubArray(3, [2, 1, 5, 1, 3, 2]))
print("Maximum sum of a subarray of size K:",
MaxSumSubArrayOfSizeK.findMaxSumSubArray(2, [2, 3, 4, 1, 5]))
package main
import (
"fmt"
)
func findMaxSumSubArray(k int, arr []int) int {
maxSum := 0
for i := 0; i <= len(arr)-k; i++ {
windowSum := 0
for j := i; j < i+k; j++ {
windowSum += arr[j]
}
if windowSum > maxSum {
maxSum = windowSum
}
}
return maxSum
}
func main() {
fmt.Println("Maximum sum of a subarray of size K:", findMaxSumSubArray(3, []int{2, 1, 5, 1, 3, 2}))
fmt.Println("Maximum sum of a subarray of size K:", findMaxSumSubArray(2, []int{2, 3, 4, 1, 5}))
}