Weekly Contest 318

Weekly Contest 318

Problem A

Apply Operations to an Array

思路

按照题意模拟即可

代码

class Solution:
    def applyOperations(self, nums: List[int]) -> List[int]:
        l = len(nums)
        for i in range(0,l-1):
            if nums[i]==nums[i+1]:
                nums[i]*=2
                nums[i+1] =0
                
        ans = []
        for i in range(l):
            if nums[i]!=0:
                ans.append(nums[i])
        # print(ans,l)
        d = l-len(ans)
        for i in range(len(ans),l):
            ans.append(0)
        
        return ans
        

Problem B

Maximum Sum of Distinct Subarrays With Length K

思路

滑动窗口，r一直加，l当出现重复或者是找到一个可行解时加。是一个MAP存储位置，方便找到下一个l的位置，在跳的过程别忘了更新SUM

代码

class Solution:
    def maximumSubarraySum(self, nums: List[int], k: int) -> int:
        ans = 0
        i,j,n = 0,0,len(nums)
        M = {}
        SUM = 0
        if n<k:
            return 0
        if k == 1:
            return max(nums)
        l,r = 0,0
        while r<n:
            t = nums[r]
            SUM+=nums[r]
            if (t not in M.keys() or M[t]==-1):
                if r-l+1==k:
                    ans = max(ans,SUM)
                    SUM-=nums[l]
                    M[nums[l]]=-1
                    l+=1
                
            else:
                site = M[t]
                while l<=site:
                    M[nums[l]] =-1
                    SUM-=nums[l]
                    l+=1
            M[nums[r]] = r
            r+=1
        return ans

Problem C

Total Cost to Hire K Workers

思路

本质上来说就是用优先队列来实现$log(N)$的查找（Python用的最小堆），但是写起来BUG有点多，调起来很麻烦，赛后才过的。

代码

class Solution:
    def totalCost(self, costs: List[int], k: int, candidates: int) -> int:
        n = len(costs)
        # print(n)
        if candidates>=n:
            costs.sort()
            return sum(costs[:k])
        L = []
        # print(1)
        for i in range(candidates):
            l,r = i,n-1-i
            if r>=l:
                L.append([costs[l],l,1])
                if r!=l:
                    L.append([costs[r],r,2])
        t = (len(L)+1)//2
        l,r = t-1,n-t
        heapq.heapify(L)
        ans = 0
        for i in range(k):
            v,s,x = heapq.heappop(L)
            ans+=v
            if r-l<=1:
                continue
            if x == 1:
                heapq.heappush(L,[costs[l+1],l+1,1])
                l+=1
            else:
                
                heapq.heappush(L,[costs[r-1],r-1,2])
                r-=1
        return ans
        

Problem D

Height of Binary Tree After Subtree Removal Queries

思路

思路很简单，就是两次DFS。一次dfs确定深度，一次得到结果，在第二次DFS时做的是得到除当前路径之外的最大深度，也就是答案。感觉这个思路蛮巧妙的

代码

class Solution:
    def treeQueries(self, root: Optional[TreeNode], queries: List[int]) -> List[int]:
        height = defaultdict(int)  # 每棵子树的高度
        def get_height(node: Optional[TreeNode]) -> int:
            if node is None: return 0
            height[node] = 1 + max(get_height(node.left), get_height(node.right))
            return height[node]
        get_height(root)

        res = [0] * (len(height) + 1)  # 每个节点的答案
        def dfs(node: Optional[TreeNode], depth: int, rest_h: int) -> None:
            if node is None: return
            depth += 1
            res[node.val] = rest_h
            dfs(node.left, depth, max(rest_h, depth + height[node.right]))
            dfs(node.right, depth, max(rest_h, depth + height[node.left]))
        dfs(root, -1, 0)

        for i, q in enumerate(queries):
            queries[i] = res[q]
        return queries

总结

出了3题，但是感觉蛮冗余的，最后一题的思路蛮巧妙地，可惜没想出来。