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LeetCode-Go/leetcode/0128.Longest-Consecutive-Sequence/128. Longest Consecutive Sequence.go
2020-08-07 17:06:53 +08:00

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package leetcode
import (
"github.com/halfrost/LeetCode-Go/template"
)
// 解法一 map时间复杂度 O(n)
func longestConsecutive(nums []int) int {
res, numMap := 0, map[int]int{}
for _, num := range nums {
if numMap[num] == 0 {
left, right, sum := 0, 0, 0
if numMap[num-1] > 0 {
left = numMap[num-1]
} else {
left = 0
}
if numMap[num+1] > 0 {
right = numMap[num+1]
} else {
right = 0
}
// sum: length of the sequence n is in
sum = left + right + 1
numMap[num] = sum
// keep track of the max length
res = max(res, sum)
// extend the length to the boundary(s) of the sequence
// will do nothing if n has no neighbors
numMap[num-left] = sum
numMap[num+right] = sum
} else {
continue
}
}
return res
}
func max(a int, b int) int {
if a > b {
return a
}
return b
}
// 解法二 并查集
func longestConsecutive1(nums []int) int {
if len(nums) == 0 {
return 0
}
numMap, countMap, lcs, uf := map[int]int{}, map[int]int{}, 0, template.UnionFind{}
uf.Init(len(nums))
for i := 0; i < len(nums); i++ {
countMap[i] = 1
}
for i := 0; i < len(nums); i++ {
if _, ok := numMap[nums[i]]; ok {
continue
}
numMap[nums[i]] = i
if _, ok := numMap[nums[i]+1]; ok {
uf.Union(i, numMap[nums[i]+1])
}
if _, ok := numMap[nums[i]-1]; ok {
uf.Union(i, numMap[nums[i]-1])
}
}
for key := range countMap {
parent := uf.Find(key)
if parent != key {
countMap[parent]++
}
if countMap[parent] > lcs {
lcs = countMap[parent]
}
}
return lcs
}
// 解法三 暴力解法,时间复杂度 O(n^2)
func longestConsecutive2(nums []int) int {
if len(nums) == 0 {
return 0
}
numMap, length, tmp, lcs := map[int]bool{}, 0, 0, 0
for i := 0; i < len(nums); i++ {
numMap[nums[i]] = true
}
for key := range numMap {
if !numMap[key-1] && !numMap[key+1] {
delete(numMap, key)
}
}
if len(numMap) == 0 {
return 1
}
for key := range numMap {
if !numMap[key-1] && numMap[key+1] {
length, tmp = 1, key+1
for numMap[tmp] {
length++
tmp++
}
lcs = max(lcs, length)
}
}
return max(lcs, length)
}