82 lines
3.1 KiB
Text
82 lines
3.1 KiB
Text
---
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id: RURQ
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title: "Range Update Range Query"
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author: Benjamin Qi
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prerequisites:
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- Gold - Point Update Range Query
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description: Lazy updates on segment trees and two binary indexed trees in conjunction.
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frequency: 1
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---
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import { Problem } from "../models";
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export const metadata = {
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problems: {
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bitSample: [
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new Problem("SPOJ", "Horrible Queries", "HORRIBLE", "Easy", false, ["BIT-Range"], ""),
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],
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bitProb: [
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new Problem("CSES", "Polynomial Queries", "1736", "Easy", false, ["BIT-Range"], "equivalent to https://dmoj.ca/problem/acc3p4"),
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],
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lazySample: [
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new Problem("CSES", "Range Updates & Sums", "1735", "Easy", false, ["Lazy SegTree"], ""),
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],
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lazySegTree: [
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new Problem("YS", "Range Affine Range Sum", "range_affine_range_sum", "Easy", false, ["Lazy SegTree"], ""),
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new Problem("Plat", "Counting Haybales", "578", "Easy", false, ["Lazy SegTree"], ""),
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new Problem("Old Gold", "The Lazy Cow", "418", "Easy", false, ["Lazy SegTree"], ""),
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new Problem("Plat", "Snow-Cow", "973", "Normal", false, ["Lazy SegTree"], "Can use lazy seg in place of two BITs"),
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],
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lazySegCnt: [
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new Problem("CSES", "Area of Rectangles", "1741", "Normal", false, ["Lazy SegTree"], ""),
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new Problem("HR", "Strange Tree", "https://www.hackerrank.com/contests/openbracket-2017/challenges/special-path-on-a-strange-tree/problem", "Very Hard", false, ["Lazy SegTree"]),
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],
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segTreeBeats: [
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new Problem("YS", "Range Chmin Chmax Add Range Sum", "range_chmin_chmax_add_range_sum", "Very Hard", false, ["SegTreeBeats"], ""),
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],
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}
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};
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## BIT Revisited
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<problems-list problems={metadata.problems.bitSample} />
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Binary Indexed Trees can support range increments in addition to range sum queries.
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### Tutorial
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<resources>
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<resource source="GFG" title="Range Update Point Query" url="binary-indexed-tree-range-updates-point-queries/"></resource>
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<resource source="GFG" title="Range Update Range Query" url="binary-indexed-tree-range-update-range-queries/"></resource>
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</resources>
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[My Implementation](https://github.com/bqi343/USACO/blob/master/Implementations/content/data-structures/1D%20Range%20Queries%20(9.2)/BITrange.h)
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### Problems
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<problems-list problems={metadata.problems.bitProb} />
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## Lazy Segment Tree
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<problems-list problems={metadata.problems.lazySample} />
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### Tutorial
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<resources>
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<resource source="CPH" title="28.1 - Segment Trees Revisited" starred>short description</resource>
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<resource source="CSA" title="Segment Trees" url="segment_trees" starred>interactive</resource>
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<resource source="cp-algo" title="Segment Tree" url="data_structures/segment_tree.html" starred>adding on segments, assigning</resource>
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<resource source="CF" title="Efficient and easy segment trees" url="blog/entry/18051">code is more confusing than recursive version</resource>
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</resources>
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### Problems
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<problems-list problems={metadata.problems.lazySegTree} />
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## Lazy Segment Tree - Counting Minimums
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use segment tree that keeps track of minimum and # of minimums
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(describe)
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<problems-list problems={metadata.problems.lazySegCnt} /> |