Мисис 2023 осень - базовая математика, условия, циклы

10 problems from Мисис 2023 осень - базовая математика, условия, циклы (contest 104637), difficulty -. 4/10 solutions verified against sample I/O.

10 items

Мисис 2023 осень - базовая математика, условия, циклы

Special | 10 problems | 4/10 verified | Difficulty - | 13m 15s

#	Problem	Time	✓
A	Red and Blue Beans	30s
B	Buying Torches	1m 57s
C	Alarm Clock	1m 7s	✓
D	Squares and Cubes	59s	✓
E	The Doors	1m 16s	✓
F	Subtractions	1m 16s
G	Frog Jumping	59s	✓
H	Three Pairwise Maximums	1m 28s
I	Definite Game	2m 25s
J	Tanya and Stairways	1m 18s

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CF 104637I - Definite Game

Codeforces 104637I: Definite Game

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CF 104637J - Tanya and Stairways

We are given a single sequence of integers that represents what Tanya says while climbing stairs. Each time she enters a new stairway, she starts counting from 1 and continues upward step by step until that stairway ends.

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CF 104637H - Three Pairwise Maximums

We are given three positive integers, and we want to check whether they could have come from a very specific construction involving three hidden positive integers $a$, $b$, and $c$.

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CF 104637G - Frog Jumping

A frog starts at position 0 on a number line and repeatedly jumps left and right in a fixed pattern. The first jump moves it to the right by a, the second jump moves it to the left by b, and this alternation continues for k total jumps.

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CF 104637F - Subtractions

We are given several independent pairs of positive integers. For each pair, we repeatedly apply a deterministic transformation: identify the larger of the two numbers and subtract the smaller from it.

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CF 104637E - The Doors

We are given a sequence describing the order in which doors are opened. Each door belongs to one of two exits of a house, either the left exit or the right exit.

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CF 104637B - Buying Torches

We are trying to produce a target number of torches. Each torch consumes exactly one stick and one coal, so if we want $k$ torches, we ultimately need $k$ sticks and $k$ coal. We start with no useful inventory except that we can manipulate sticks through two trade operations.

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CF 104637D - Squares and Cubes

We are asked to count how many integers in the range from 1 to n can be written in at least one of two special forms: a perfect square or a perfect cube. If a number can be written both ways, it should still be counted only once.

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CF 104637C - Alarm Clock

We are simulating a very particular sleep cycle with a repeating alarm. Polycarp falls asleep and initially waits a fixed number of minutes before the first alarm rings. After that, every time he wakes up, he checks whether he has accumulated enough total sleep.

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CF 104637A - Red and Blue Beans

We are given two piles of indistinguishable items, red beans and blue beans. In each test case we must decide whether it is possible to split all beans into several groups, where each group contains both colors, and within every group the difference between the number of red…