{ "data": { "question": { "questionId": "3435", "questionFrontendId": "3161", "boundTopicId": null, "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\n\n\n
For 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\n\n\n
x = 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.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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