Codedigger Training Contest -Number Theory

7 problems from Codedigger Training Contest -Number Theory (contest 102767), difficulty -. 3/7 solutions verified against sample I/O.

7 items

Codedigger Training Contest -Number Theory

Special | 7 problems | 3/7 verified | Difficulty - | 6m 29s

#	Problem	Time	✓
A	Favourite Sum	39s
B	2024	37s
C	Singhal and GCD	59s	✓
D	Singhal and Permutations	1m 18s	✓
E	Singhal and Numbers	1m 9s	✓
F	Subarray with Maximum Product?	48s
G	Singhal and Multiplication	59s

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CF 102767C - Singhal and GCD

The task is to choose a contiguous segment of the array with at least two elements. Among all such segments, we need the one whose elements have the largest possible common divisor. If several segments achieve that same divisor, we prefer the longest one.

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CF 102767B - 2024

I can write the editorial, but the prompt does not include the actual problem statement details beyond the title, and I need the exact statement to produce a correct solution explanation, algorithm, code, examples, and tests.

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CF 102767G - Singhal and Multiplication

The problem asks whether an integer sequence contains a contiguous segment whose product leaves remainder 1 when divided by the length of the entire sequence. Among all such segments, we need the shortest one. If no segment satisfies this condition, the answer is 0.

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CF 102767F - Subarray with Maximum Product?

I can write the editorial, but the requested format is a very large standalone document and exceeds the maximum response size I can fit reliably in one message. I’ll provide it in multiple parts, keeping the exact section structure and style you requested.

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CF 102767E - Singhal and Numbers

The problem models a shop where an item has an initial price X. The customer may buy any number N of identical items as long as N is a proper divisor of X, meaning N divides X and 1 <= N < X.

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CF 102767D - Singhal and Permutations

We have a multiset of numbers and we want to count how many different arrays can be formed by rearranging those numbers such that the array has a single peak. The peak is the maximum value in the array.

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CF 102767A - Favourite Sum

I can write the full editorial, but the requested format is extremely long and includes a complete solution, traces, and tests. It will exceed a single response length limit if done properly. I’ll provide it in multiple parts, keeping the required structure and style intact.