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https://github.com/halfrost/LeetCode-Go.git
synced 2025-07-04 16:12:47 +08:00
添加 problem 995
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package leetcode
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func minKBitFlips(A []int, K int) int {
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flippedTime, count := 0, 0
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for i := 0; i < len(A); i++ {
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if i >= K && A[i-K] == 2 {
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flippedTime--
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}
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// 下面这个判断包含了两种情况:
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// 如果 flippedTime 是奇数,且 A[i] == 1 就需要翻转
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// 如果 flippedTime 是偶数,且 A[i] == 0 就需要翻转
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if flippedTime%2 == A[i] {
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if i+K > len(A) {
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return -1
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}
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A[i] = 2
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flippedTime++
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count++
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}
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}
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return count
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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 question995 struct {
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para995
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ans995
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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 para995 struct {
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one []int
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k 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 ans995 struct {
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one int
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}
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func Test_Problem995(t *testing.T) {
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qs := []question995{
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question995{
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para995{[]int{0, 1, 0}, 1},
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ans995{2},
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},
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question995{
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para995{[]int{1, 1, 0}, 2},
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ans995{-1},
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},
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question995{
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para995{[]int{0, 0, 0, 1, 0, 1, 1, 0}, 3},
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ans995{3},
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},
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}
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fmt.Printf("------------------------Leetcode Problem 995------------------------\n")
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for _, q := range qs {
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_, p := q.ans995, q.para995
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fmt.Printf("【input】:%v 【output】:%v\n", p, minKBitFlips(p.one, p.k))
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}
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fmt.Printf("\n\n\n")
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}
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67
Algorithms/0995. Minimum Number of K Consecutive Bit Flips/README.md
Executable file
67
Algorithms/0995. Minimum Number of K Consecutive Bit Flips/README.md
Executable file
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# [995. Minimum Number of K Consecutive Bit Flips](https://leetcode.com/problems/minimum-number-of-k-consecutive-bit-flips/)
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## 题目:
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In an array `A` containing only 0s and 1s, a `K`-bit flip consists of choosing a (contiguous) subarray of length `K` and simultaneously changing every 0 in the subarray to 1, and every 1 in the subarray to 0.
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Return the minimum number of `K`-bit flips required so that there is no 0 in the array. If it is not possible, return `-1`.
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**Example 1:**
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Input: A = [0,1,0], K = 1
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Output: 2
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Explanation: Flip A[0], then flip A[2].
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**Example 2:**
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Input: A = [1,1,0], K = 2
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Output: -1
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Explanation: No matter how we flip subarrays of size 2, we can't make the array become [1,1,1].
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**Example 3:**
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Input: A = [0,0,0,1,0,1,1,0], K = 3
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Output: 3
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Explanation:
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Flip A[0],A[1],A[2]: A becomes [1,1,1,1,0,1,1,0]
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Flip A[4],A[5],A[6]: A becomes [1,1,1,1,1,0,0,0]
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Flip A[5],A[6],A[7]: A becomes [1,1,1,1,1,1,1,1]
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**Note:**
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1. `1 <= A.length <= 30000`
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2. `1 <= K <= A.length`
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## 题目大意
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在仅包含 0 和 1 的数组 A 中,一次 K 位翻转包括选择一个长度为 K 的(连续)子数组,同时将子数组中的每个 0 更改为 1,而每个 1 更改为 0。返回所需的 K 位翻转的次数,以便数组没有值为 0 的元素。如果不可能,返回 -1。
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提示:
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1. 1 <= A.length <= 30000
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2. 1 <= K <= A.length
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## 解题思路
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- 给出一个数组,数组里面的元素只有 0 和 1。给一个长度为 K 的窗口,在这个窗口内的所有元素都会 0-1 翻转。问最后需要翻转几次,使得整个数组都为 1 。如果不能翻转使得最后数组元素都为 1,则输出 -1。
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- 拿到这一题首先想到的是贪心算法。例如第 765 题,这类题的描述都是这样的:在一个数组中或者环形数组中通过交换位置,或者翻转变换,达到最终结果,要求找到最少步数。贪心能保证是最小步数(证明略)。按照贪心的思想,这一题也这样做,从数组 0 下标开始往后扫,依次翻转每个 K 大小的窗口内元素。
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- 由于窗口大小限制了,所以这题滑动窗口只需要一个边界坐标,用左边界就可以判断了。每一个 `A[i]` 是否需要翻转,是由于 `[ i-k+1,i ]`、`[ i-k+2,i+1 ]`、`[ i-k+3,i+2 ]`……`[ i-1,i+k ]` 这一系列的窗口翻转`累积影响`的。那如何之前这些窗口`累积`到 `A[i]` 上翻转的次数呢?可以动态的维护一个翻转次数,当 `i` 摆脱了上一次翻转窗口 `K` 的时候,翻转次数就 `-1` 。举个例子:
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A = [0 0 0 1 0 1 1 0] K = 3
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A = [2 0 0 1 0 1 1 0] i = 0 flippedTime = 1
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A = [2 0 0 1 0 1 1 0] i = 1 flippedTime = 1
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A = [2 0 0 1 0 1 1 0] i = 2 flippedTime = 1
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A = [2 0 0 1 0 1 1 0] i = 3 flippedTime = 0
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A = [2 0 0 1 2 1 1 0] i = 4 flippedTime = 1
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A = [2 0 0 1 2 2 1 0] i = 5 flippedTime = 2
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A = [2 0 0 1 2 2 1 0] i = 6 flippedTime = 2
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A = [2 0 0 1 2 2 1 0] i = 7 flippedTime = 1
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当判断 `A[i]` 是否需要翻转的时候,只需要留意每个宽度为 `K` 窗口的左边界。会影响到 A[i] 的窗口的左边界分别是 `i-k+1`、`i-k+2`、`i-k+3`、…… `i-1`,只需要分别看这些窗口有没有翻转就行。这里可以用特殊标记来记录这些窗口的左边界是否被翻转了。如果翻转过,则把窗口左边界的那个数字标记为 2 (为什么要标记为 2 呢?其实设置成什么都可以,只要不是 0 和 1 ,和原有的数字区分开就行)。当 `i≥k` 的时候,代表 `i` 已经脱离了 `i-k` 的这个窗口,因为能影响 `A[i]` 的窗口是从 `i-k+1` 开始的,如果 `A[i-k] == 2` 代表 `i-k` 窗口已经翻转过了,现在既然脱离了它的窗口影响,那么就要把累积的 `flippedTime - 1` 。这样就维护了累积 `flippedTime` 和滑动窗口中累积影响的关系。
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- 接下来还需要处理的是 `flippedTime` 与当前 `A[i]` 是否翻转的问题。如果 `flippedTime` 是偶数次,原来的 0 还是 0,就需要再次翻转,如果 `flippedTime` 是奇数次,原来的 0 变成了 1 就不需要翻转了。总结成一条结论就是 `A[i]` 与 `flippedTime` 同奇偶性的时候就要翻转。当 `i + K` 比 `len(A)` 大的时候,代表剩下的这些元素肯定不能在一个窗口里面翻转,则输出 -1 。
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