{ "data": { "question": { "questionId": "3435", "questionFrontendId": "3161", "categoryTitle": "Algorithms", "boundTopicId": 2790205, "title": "Block Placement Queries", "titleSlug": "block-placement-queries", "content": "
There exists an infinite number line, with its origin at 0 and extending towards the positive x-axis.
\n\nYou are given a 2D array queries
, which contains two types of queries:
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.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.
\n
Example 1:
\n\nInput: queries = [[1,2],[2,3,3],[2,3,1],[2,2,2]]
\n\nOutput: [false,true,true]
\n\nExplanation:
\n\nFor query 0, place an obstacle at x = 2
. A block of size at most 2 can be placed before x = 3
.
Example 2:
\n\nInput: queries = [[1,7],[2,7,6],[1,2],[2,7,5],[2,7,6]]
\n\nOutput: [true,true,false]
\n\nExplanation:
\n\nx = 7
for query 0. A block of size at most 7 can be placed before x = 7
.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
.\n
Constraints:
\n\n1 <= queries.length <= 15 * 104
2 <= queries[i].length <= 3
1 <= queries[i][0] <= 2
1 <= x, sz <= min(5 * 104, 3 * queries.length)
x
when the query is asked.有一条无限长的数轴,原点在 0 处,沿着 x 轴 正 方向无限延伸。
\n\n给你一个二维数组 queries
,它包含两种操作:
queries[i] = [1, x]
。在距离原点 x
处建一个障碍物。数据保证当操作执行的时候,位置 x
处 没有 任何障碍物。queries[i] = [2, x, sz]
。判断在数轴范围 [0, x]
内是否可以放置一个长度为 sz
的物块,这个物块需要 完全 放置在范围 [0, x]
内。如果物块与任何障碍物有重合,那么这个物块 不能 被放置,但物块可以与障碍物刚好接触。注意,你只是进行查询,并 不是 真的放置这个物块。每个查询都是相互独立的。请你返回一个 boolean 数组results
,如果第 i
个操作类型 2 的操作你可以放置物块,那么 results[i]
为 true
,否则为 false
。
\n\n
示例 1:
\n\n输入:queries = [[1,2],[2,3,3],[2,3,1],[2,2,2]]
\n\n输出:[false,true,true]
\n\n解释:
\n\n查询 0 ,在 x = 2
处放置一个障碍物。在 x = 3
之前任何大小不超过 2 的物块都可以被放置。
示例 2:
\n\n输入:queries = [[1,7],[2,7,6],[1,2],[2,7,5],[2,7,6]]
\n\n输出:[true,true,false]
\n\n解释:
\n\nx = 7
处放置一个障碍物。在 x = 7
之前任何大小不超过 7 的物块都可以被放置。x = 2
处放置一个障碍物。现在,在 x = 7
之前任何大小不超过 5 的物块可以被放置,x = 2
之前任何大小不超过 2 的物块可以被放置。\n\n
提示:
\n\n1 <= queries.length <= 15 * 104
2 <= queries[i].length <= 3
1 <= queries[i][0] <= 2
1 <= x, sz <= min(5 * 104, 3 * queries.length)
x
处不会有障碍物。d[x]
be the distance of the next obstacle after x
.",
"For each query of type 2, we just need to check if max(d[0], d[1], d[2], …d[x - sz]) > sz
.",
"Use segment tree to maintain d[x]
."
],
"solution": null,
"status": null,
"sampleTestCase": "[[1,2],[2,3,3],[2,3,1],[2,2,2]]",
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