IME++ Starters Try-outs 2022

10 problems from IME++ Starters Try-outs 2022 (contest 103797), difficulty -. 7/10 solutions verified against sample I/O.

10 items

IME++ Starters Try-outs 2022

Special | 10 problems | 7/10 verified | Difficulty - | 8m 54s

#	Problem	Time	✓
A	Advisor Enemies	50s	✓
B	Bus Bet	52s
C	Cute Sentences	45s	✓
D	Dynamic Duo	50s	✓
E	Expedition	50s	✓
F	Faulty Plan	2m 2s
G	Get Out!	53s	✓
H	High Profile Math	22s
I	I cry	41s	✓
J	Judge Crush	49s	✓

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CF 103797J - Judge Crush

We are given a grid of contestants by problem, where each pair $(c, p)$ represents one contestant solving one problem. Over time, we receive a chronological stream of submissions, each submission belonging to one such cell and carrying a verdict.

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CF 103797I - I cry

We are given a long sequence of days encoded as a string. Each character represents whether Cosenza has an exam on that day or not. A day marked E is an exam day, while F is a free day.

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CF 103797F - Faulty Plan

Let $f(x1,dots,xn)$ be a Boolean function, and let $G(z)$ be its generating function in the sense of Exercise 25, so that $$G(z)=sum{xin{0,1}^n} f(x), z^{w(x)},$$ where $w(x)=x1+cdots+xn$ is the Hamming weight of $x$.

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CF 103797H - High Profile Math

Something went wrong while generating the response. If this issue persists please contact us through our help center at [help.openai.com](https://help.openai.com/).

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CF 103797G - Get Out!

We are given a fixed set of student registration numbers, each consisting of exactly six digits (leading zeros are allowed, so numbers like 000123 are valid and distinct from 123000).

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CF 103797E - Expedition

The task is to simulate how a group of students occupy seats in a bus and accumulate the total time spent until everyone is seated. The bus can be viewed as a grid with N rows, each row containing four fixed seats: two window seats and two aisle seats.

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CF 103797D - Dynamic Duo

We are given an array of length $N$, initially filled with zeros, representing how many bullets each student currently has. Two types of operations are performed online.

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CF 103797B - Bus Bet

Let $$G(z)=sum{xin{0,1}^n} f(x),z^{x1+cdots+xn}.$$ Then $$G(-1)=sum{x} f(x),(-1)^{ where $ Write $f$ in its unique multilinear expansion over $mathbb{R}$, $$f(x)=sum{Ssubseteq [n]} aS prod{iin S} xi,$$ so that $a{[n]}$ is the coefficient of the full monomial $x1x2cdots xn$.

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CF 103797A - Advisor Enemies

We are given a collection of precedence rules between named people, where each rule says that one person must appear before another in a valid ordering. Each name is just a string, and every rule is directed from a prerequisite to a dependent.

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CF 103797C - Cute Sentences

We are given a sentence split into a sequence of words. Each word consists only of uppercase English letters. The task is to determine whether the sentence satisfies a specific structural property involving its first word.