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usaco-guide/content/6_Plat/DP_Bitmasks.mdx
2020-06-30 16:25:02 -04:00

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---
id: dp-bitmasks
title: "Dynamic Programming on Bitmasks"
author: Michael Cao
prerequisites:
- Bit Operations
- Gold - Introduction to Dynamic Programming
description: DP problems that require iterating over subsets.
frequency: 2
---
import { Problem } from "../models";
export const metadata = {
problems: {
general: [
new Problem("AC", "Matching", "https://atcoder.jp/contests/dp/tasks/dp_o?lang=en", "Easy", false, ["Bitmasks"], ""),
new Problem("CSES", "Hamiltonian Flights", "1690", "Easy", false, ["Bitmasks"], ""),
new Problem("CF", "Square Subsets", "contest/895/problem/C", "Easy", false, [], ""),
new Problem("Old Gold", "Guard Mark", "494", "Easy", false, ["Bitmasks"], ""),
new Problem("Old Gold", "Moovie Mooving", "515", "Easy", false,[ "Bitmasks"], ""),
new Problem("Kattis", "Cat & Mice", "catandmice", "Normal", false, ["Bitmasks", "Geometry"], ""),
new Problem("CSES", "Elevator Rides", "1653", "Normal", false, ["Bitmasks"], ""),
new Problem("ojuz", "IZhO Bank", "IZhO14_bank", "Normal", false, ["Bitmasks"], ""),
new Problem("YS", "Max Indep Set", "maximum_independent_set", "Normal", false, ["Bitmasks", "Meet in Middle"], ""),
],
broken: [
new Problem("CF", "Guards in the Storehouse", "problemset/problem/845/F", "Normal", false, [], ""),
new Problem("Plat", "Compound Escape", "949", "Very Hard", false, [], ""),
],
}
};
<info-block title="Pro Tip">
You can often use this to solve subtasks.
</info-block>
## Tutorial
<resources>
<resource source="PAPS" title="9.4"> </resource>
<resource source="CPH" title="10 (Bit Manipulation), 19.2 (Hamiltonian Paths)"> </resource>
<resource source="CF" title="DP Over Subsets" url="blog/entry/337"> </resource>
<resource source="HE" title="DP and Bit Masking" url="https://www.hackerearth.com/practice/algorithms/dynamic-programming/bit-masking/tutorial/"> </resource>
</resources>
## Problems
<problems-list problems={metadata.problems.general} />
## DP on Broken Profile
<resources>
<resource source="cp-algo" title="DP on Broken Profile" url="dynamic_programming/profile-dynamics.html"> </resource>
</resources>
(fill in? more probs?)
<problems-list problems={metadata.problems.broken} />