## CCC '22 J5 - Square Pool

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Points: 10 (partial)
Time limit: 1.0s
Memory limit: 1G

Problem types
##### Canadian Computing Competition: 2022 Stage 1, Junior #5

Ron wants to build a square pool in his square -by- yard, but his yard contains trees. Your job is to determine the side length of the largest square pool he can build.

#### Input Specification

The first line of input will be an integer with . The second line will be the positive integer where . The remaining input will be lines, each representing the location of a single tree. The location is given by two positive integers, and then , separated by a single space. Each tree is located at row and column where rows are numbered from top to bottom from to and columns are numbered from left to right from to . No two trees are at the same location.

The following table shows how the available 15 marks are distributed.

Marks AwardedLength/Width of YardNumber of Trees
marks
marks
marks
marks

#### Output Specification

Output one line containing which is the largest positive integer such that some -by- square contained entirely in Ron's yard does not contain any of the trees.

#### Sample Input 1

5
1
2 4

#### Output for Sample Input 1

3

#### Explanation of Output for Sample Input 1

A picture of the yard is below. The location of the tree is marked by and one of several -by- squares that do not contain the tree is highlighted. All larger squares contain a tree.

#### Sample Input 2

15
8
4 7
4 1
14 11
10 6
13 4
4 10
10 3
9 14

#### Output for Sample Input 2

7

#### Explanation of Output for Sample Input 2

A picture of the yard is below. The location of each tree is marked by and one of several -by- squares that do not contain a tree is highlighted. All larger squares contain a tree.

• commented on Feb. 21, 2024, 5:24 p.m.

J5, 10 points....

• commented on Feb. 13, 2024, 4:28 p.m.

Omg, cells in grid of Ron's yard. This is what brute force really is.

• commented on Feb. 15, 2024, 12:49 a.m.

ignore comment i'm not thinking straight today

• commented on Feb. 15, 2023, 11:38 a.m. edited

I've been writting a functional method to find the maximum space available,for the whole afternoon.Yet nothing came out.This is a hard one...

• commented on Oct. 22, 2022, 6:27 p.m.

I have no idea why it always tell me index error