How to Solve Block Placement Queries Problem
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Block Placement Queries
There exists an infinite number line, with its origin at 0 and extending towards the positive x-axis. You are given a 2D array queries, which contains two types of queries: For a query of type 1, quer...
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Understanding the Block Placement Queries Problem
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Problem Statement
There exists an infinite number line, with its origin at 0 and extending towards the positive x-axis. You are given a 2D array queries, which contains two types of queries: For a query of type 1, queries[i] = [1, x]. Build an obstacle at distance x from the origin. It is guaranteed that there is no obstacle at distance x when the query is asked. For a query of type 2, queries[i] = [2, x, sz]. Check if it is possible to place a block of size sz anywhere in the range [0, x] on the line, such that the block entirely lies in the range [0, x]. A block cannot be placed if it intersects with any obstacle, but it may touch it. Note that you do not actually place the block. Queries are separate. Return a boolean array results, where results[i] is true if you can place the block specified in the ith query of type 2, and false otherwise.
Block Placement Queries
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Examples
queries = [[1,2],[2,3,3],[2,3,1],[2,2,2]][false,true,true]For query 0, place an obstacle at x = 2. A block of size at most 2 can be placed before x = 3.
queries = [[1,7],[2,7,6],[1,2],[2,7,5],[2,7,6]][true,true,false]Place an obstacle at x = 7 for query 0. A block of size at most 7 can be placed before x = 7. Place an obstacle at x = 2 for query 2. Now, a block of size at most 5 can be placed before x = 7, and a block of size at most 2 before x = 2.
Constraints
1 <= queries.length <= 15 * 1042 <= queries[i].length <= 31 <= queries[i][0] <= 21 <= x, sz <= min(5 * 104, 3 * queries.length)The input is generated such that for queries of type 1, no obstacle exists at distance x when the query is asked.The input is generated such that there is at least one query of type 2.How Interview Coder Helps with Leetcode Problems
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