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feat: add solutions to lc problem: No.1438 #2575

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Apr 12, 2024
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Original file line number Diff line number Diff line change
@@ -1,25 +1,18 @@
func longestSubarray(nums []int, limit int) (ans int) {
tm := treemap.NewWithIntComparator()
j := 0
for i, v := range nums {
if x, ok := tm.Get(v); ok {
tm.Put(v, x.(int)+1)
merge := func(st *redblacktree.Tree[int, int], x, v int) {
c, _ := st.Get(x)
if c+v == 0 {
st.Remove(x)
} else {
tm.Put(v, 1)
st.Put(x, c+v)
}
for {
a, _ := tm.Min()
b, _ := tm.Max()
if b.(int)-a.(int) > limit {
if x, _ := tm.Get(nums[j]); x.(int) == 1 {
tm.Remove(nums[j])
} else {
tm.Put(nums[j], x.(int)-1)
}
j++
} else {
break
}
}
st := redblacktree.New[int, int]()
j := 0
for i, x := range nums {
merge(st, x, 1)
for ; st.Right().Key-st.Left().Key > limit; j++ {
merge(st, nums[j], -1)
}
ans = max(ans, i-j+1)
}
Expand Down
Original file line number Diff line number Diff line change
@@ -1,15 +1,13 @@
class Solution {
public int longestSubarray(int[] nums, int limit) {
TreeMap<Integer, Integer> tm = new TreeMap<>();
int ans = 0, j = 0;
for (int i = 0; i < nums.length; ++i) {
tm.put(nums[i], tm.getOrDefault(nums[i], 0) + 1);
while (tm.lastKey() - tm.firstKey() > limit) {
tm.put(nums[j], tm.get(nums[j]) - 1);
if (tm.get(nums[j]) == 0) {
int ans = 0;
for (int i = 0, j = 0; i < nums.length; ++i) {
tm.merge(nums[i], 1, Integer::sum);
for (; tm.lastKey() - tm.firstKey() > limit; ++j) {
if (tm.merge(nums[j], -1, Integer::sum) == 0) {
tm.remove(nums[j]);
}
++j;
}
ans = Math.max(ans, i - j + 1);
}
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -5,8 +5,8 @@ class Solution:
def longestSubarray(self, nums: List[int], limit: int) -> int:
sl = SortedList()
ans = j = 0
for i, v in enumerate(nums):
sl.add(v)
for i, x in enumerate(nums):
sl.add(x)
while sl[-1] - sl[0] > limit:
sl.remove(nums[j])
j += 1
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -4,7 +4,7 @@ function longestSubarray(nums: number[], limit: number): number {
let j = 0;
for (let i = 0; i < nums.length; ++i) {
ts.add(nums[i]);
while (ts.last() - ts.first() > limit) {
while (ts.last()! - ts.first()! > limit) {
ts.delete(nums[j++]);
}
ans = Math.max(ans, i - j + 1);
Expand Down
Original file line number Diff line number Diff line change
@@ -0,0 +1,39 @@
class Solution {
public:
int longestSubarray(vector<int>& nums, int limit) {
auto check = [&](int k) {
deque<int> min_q;
deque<int> max_q;
for (int i = 0; i < nums.size(); ++i) {
if (!min_q.empty() && i - min_q.front() + 1 > k) {
min_q.pop_front();
}
if (!max_q.empty() && i - max_q.front() + 1 > k) {
max_q.pop_front();
}
while (!min_q.empty() && nums[min_q.back()] >= nums[i]) {
min_q.pop_back();
}
while (!max_q.empty() && nums[max_q.back()] <= nums[i]) {
max_q.pop_back();
}
min_q.push_back(i);
max_q.push_back(i);
if (i >= k - 1 && nums[max_q.front()] - nums[min_q.front()] <= limit) {
return true;
}
}
return false;
};
int l = 1, r = nums.size();
while (l < r) {
int mid = (l + r + 1) >> 1;
if (check(mid)) {
l = mid;
} else {
r = mid - 1;
}
}
return l;
}
};
Original file line number Diff line number Diff line change
@@ -0,0 +1,94 @@
func longestSubarray(nums []int, limit int) int {
l, r := 0, len(nums)
check := func(k int) bool {
minq := Deque{}
maxq := Deque{}
for i, x := range nums {
for !minq.Empty() && i-minq.Front()+1 > k {
minq.PopFront()
}
for !maxq.Empty() && i-maxq.Front()+1 > k {
maxq.PopFront()
}
for !minq.Empty() && nums[minq.Back()] >= x {
minq.PopBack()
}
for !maxq.Empty() && nums[maxq.Back()] <= x {
maxq.PopBack()
}
minq.PushBack(i)
maxq.PushBack(i)
if i >= k-1 && nums[maxq.Front()]-nums[minq.Front()] <= limit {
return true
}
}
return false
}
for l < r {
mid := (l + r + 1) >> 1
if check(mid) {
l = mid
} else {
r = mid - 1
}
}
return l
}

// template
type Deque struct{ l, r []int }

func (q Deque) Empty() bool {
return len(q.l) == 0 && len(q.r) == 0
}

func (q Deque) Size() int {
return len(q.l) + len(q.r)
}

func (q *Deque) PushFront(v int) {
q.l = append(q.l, v)
}

func (q *Deque) PushBack(v int) {
q.r = append(q.r, v)
}

func (q *Deque) PopFront() (v int) {
if len(q.l) > 0 {
q.l, v = q.l[:len(q.l)-1], q.l[len(q.l)-1]
} else {
v, q.r = q.r[0], q.r[1:]
}
return
}

func (q *Deque) PopBack() (v int) {
if len(q.r) > 0 {
q.r, v = q.r[:len(q.r)-1], q.r[len(q.r)-1]
} else {
v, q.l = q.l[0], q.l[1:]
}
return
}

func (q Deque) Front() int {
if len(q.l) > 0 {
return q.l[len(q.l)-1]
}
return q.r[0]
}

func (q Deque) Back() int {
if len(q.r) > 0 {
return q.r[len(q.r)-1]
}
return q.l[0]
}

func (q Deque) Get(i int) int {
if i < len(q.l) {
return q.l[len(q.l)-1-i]
}
return q.r[i-len(q.l)]
}
Original file line number Diff line number Diff line change
@@ -0,0 +1,44 @@
class Solution {
private int[] nums;
private int limit;

public int longestSubarray(int[] nums, int limit) {
this.nums = nums;
this.limit = limit;
int l = 1, r = nums.length;
while (l < r) {
int mid = (l + r + 1) >> 1;
if (check(mid)) {
l = mid;
} else {
r = mid - 1;
}
}
return l;
}

private boolean check(int k) {
Deque<Integer> minQ = new ArrayDeque<>();
Deque<Integer> maxQ = new ArrayDeque<>();
for (int i = 0; i < nums.length; ++i) {
if (!minQ.isEmpty() && i - minQ.peekFirst() + 1 > k) {
minQ.pollFirst();
}
if (!maxQ.isEmpty() && i - maxQ.peekFirst() + 1 > k) {
maxQ.pollFirst();
}
while (!minQ.isEmpty() && nums[minQ.peekLast()] >= nums[i]) {
minQ.pollLast();
}
while (!maxQ.isEmpty() && nums[maxQ.peekLast()] <= nums[i]) {
maxQ.pollLast();
}
minQ.offer(i);
maxQ.offer(i);
if (i >= k - 1 && nums[maxQ.peekFirst()] - nums[minQ.peekFirst()] <= limit) {
return true;
}
}
return false;
}
}
Original file line number Diff line number Diff line change
@@ -0,0 +1,28 @@
class Solution:
def longestSubarray(self, nums: List[int], limit: int) -> int:
def check(k: int) -> bool:
min_q = deque()
max_q = deque()
for i, x in enumerate(nums):
if min_q and i - min_q[0] + 1 > k:
min_q.popleft()
if max_q and i - max_q[0] + 1 > k:
max_q.popleft()
while min_q and nums[min_q[-1]] >= x:
min_q.pop()
while max_q and nums[max_q[-1]] <= x:
max_q.pop()
min_q.append(i)
max_q.append(i)
if i >= k - 1 and nums[max_q[0]] - nums[min_q[0]] <= limit:
return True
return False

l, r = 1, len(nums)
while l < r:
mid = (l + r + 1) >> 1
if check(mid):
l = mid
else:
r = mid - 1
return l
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