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Friday 8 July 2022

[Solution] Largest Square in the garden CodeChef Solution 2022


Chef has a garden of size N×N. The garden is divided into N2 squares of size 1×1 each.

Chef has plants in some unit squares of the garden, because of which, that part looks green.
Formally, for the ith row (0i<N), Chef has plants in all the columns from Ai to Bi (both inclusive) where 0AiBi<N.

Help Chef find the length of the side of the largest square that is green.

Input Format

  • The first line contains an integer N, the size of the garden.
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  • The next N lines contain two space-separated integers Ai and Bi, representing that plants are present in all the columns from Ai to Bi (both inclusive) of the ith row.

Output Format

Output a single integer denoting the length of the side of the largest square that is green. In other

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 words, output the length of the side of the square with maximum size, inside which all unit squares have plants.

Constraints

  • 1N106

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