2874. Maximum Value of an Ordered Triplet II

You are given a 0-indexed integer array nums.

Return the maximum value over all triplets of indices (i, j, k) such that i < j < k. If all such triplets have a negative value, return 0.

The value of a triplet of indices (i, j, k) is equal to (nums[i] - nums[j]) * nums[k].

2873. Maximum Value of an Ordered Triplet I

You are given a 0-indexed integer array nums.

Return the maximum value over all triplets of indices (i, j, k) such that i < j < k. If all such triplets have a negative value, return 0.

The value of a triplet of indices (i, j, k) is equal to (nums[i] - nums[j]) * nums[k].

Codeforces Round 793 (Div. 2) D. Circular Spanning Tree

Codeforces Round 794 (Div. 1) B. Linguistics

Codeforces Round 797 (Div. 3) G. Count the Trains

Codeforces Global Round 21 E. Placing Jinas

Codeforces Round 813 (Div. 2) D. Empty Graph

2872. Maximum Number of K-Divisible Components

There is an undirected tree with n nodes labeled from 0 to n - 1. You are given the integer n and a 2D integer array edges of length n - 1, where edges[i] = [ai, bi] indicates that there is an edge between nodes ai and bi in the tree.

You are also given a 0-indexed integer array values of length n, where values[i] is the value associated with the ith node, and an integer k.

A valid split of the tree is obtained by removing any set of edges, possibly empty, from the tree such that the resulting components all have values that are divisible by k, where the value of a connected component is the sum of the values of its nodes.

Return the maximum number of components in any valid split.

2871. Split Array Into Maximum Number of Subarrays

You are given an array nums consisting of non-negative integers.

We define the score of subarray nums[l..r] such that l <= r as nums[l] AND nums[l + 1] AND ... AND nums[r] where AND is the bitwise AND operation.

Consider splitting the array into one or more subarrays such that the following conditions are satisfied:

• E**ach element of the array belongs to exactly** one subarray.
• The sum of scores of the subarrays is the minimum possible.

Return the maximum number of subarrays in a split that satisfies the conditions above.

A subarray is a contiguous part of an array.

2870. Minimum Number of Operations to Make Array Empty

You are given a 0-indexed array nums consisting of positive integers.

There are two types of operations that you can apply on the array any number of times:

• Choose two elements with equal values and delete them from the array.
• Choose three elements with equal values and delete them from the array.

Return the minimum number of operations required to make the array empty, or -1 if it is not possible.