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https://github.com/halfrost/LeetCode-Go.git
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添加 problem 1005
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package leetcode
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import "sort"
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func largestSumAfterKNegations(A []int, K int) int {
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sort.Ints(A)
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minIdx := 0
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for i := 0; i < K; i++ {
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A[minIdx] = -A[minIdx]
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if minIdx == len(A)-1 || A[minIdx+1] < A[minIdx] {
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minIdx++
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}
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}
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sum := 0
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for _, a := range A {
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sum += a
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}
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return sum
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}
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package leetcode
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import (
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"fmt"
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"testing"
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)
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type question1005 struct {
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para1005
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ans1005
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}
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// para 是参数
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// one 代表第一个参数
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type para1005 struct {
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one []int
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two int
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}
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// ans 是答案
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// one 代表第一个答案
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type ans1005 struct {
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one int
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}
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func Test_Problem1005(t *testing.T) {
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qs := []question1005{
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question1005{
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para1005{[]int{4, 2, 3}, 1},
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ans1005{5},
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},
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question1005{
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para1005{[]int{3, -1, 0, 2}, 3},
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ans1005{6},
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},
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question1005{
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para1005{[]int{2, -3, -1, 5, -4}, 2},
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ans1005{13},
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},
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question1005{
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para1005{[]int{-2, 9, 9, 8, 4}, 5},
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ans1005{32},
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},
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question1005{
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para1005{[]int{5, -7, -8, -3, 9, 5, -5, -7}, 7},
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ans1005{49},
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},
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question1005{
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para1005{[]int{5, 6, 9, -3, 3}, 2},
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ans1005{20},
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},
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question1005{
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para1005{[]int{8, -7, -3, -9, 1, 9, -6, -9, 3}, 8},
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ans1005{53},
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},
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}
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fmt.Printf("------------------------Leetcode Problem 1005------------------------\n")
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for _, q := range qs {
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_, p := q.ans1005, q.para1005
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fmt.Printf("【input】:%v 【output】:%v\n", p, largestSumAfterKNegations(p.one, p.two))
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}
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fmt.Printf("\n\n\n")
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}
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@ -0,0 +1,46 @@
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# [1005. Maximize Sum Of Array After K Negations](https://leetcode.com/problems/maximize-sum-of-array-after-k-negations/)
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## 题目
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Given an array A of integers, we must modify the array in the following way: we choose an i and replace A[i] with -A[i], and we repeat this process K times in total. (We may choose the same index i multiple times.)
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Return the largest possible sum of the array after modifying it in this way.
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Example 1:
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```c
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Input: A = [4,2,3], K = 1
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Output: 5
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Explanation: Choose indices (1,) and A becomes [4,-2,3].
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```
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Example 2:
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```c
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Input: A = [3,-1,0,2], K = 3
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Output: 6
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Explanation: Choose indices (1, 2, 2) and A becomes [3,1,0,2].
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```
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Example 3:
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```c
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Input: A = [2,-3,-1,5,-4], K = 2
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Output: 13
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Explanation: Choose indices (1, 4) and A becomes [2,3,-1,5,4].
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```
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Note:
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- 1 <= A.length <= 10000
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- 1 <= K <= 10000
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- -100 <= A[i] <= 100
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## 题目大意
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将数组中的元素变成它的相反数,这种操作执行 K 次之后,求出数组中所有元素的总和最大。
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这一题可以用最小堆来做,构建最小堆,每次将最小的元素变成它的相反数。然后最小堆调整,再将新的最小元素变成它的相反数。执行 K 次以后求数组中所有的值之和就是最大值。
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这道题也可以用排序来实现。排序一次,从最小值开始往后扫,依次将最小值变为相反数。这里需要注意一点,负数都改变成正数以后,接着不是再改变这些变成正数的负数,而是接着改变顺序的正数。因为这些正数是比较小的正数。负数越小,变成正数以后值越大。正数越小,变成负数以后对总和影响最小。具体实现见代码。
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