CodeForceS#276-B(求最大值)

B. Valuable Resources

 

Many computer strategy games require building cities, recruiting army, conquering tribes, collecting resources. Sometimes it leads to interesting problems.

Let's suppose that your task is to build a square city. The world map uses the Cartesian coordinates. The sides of the city should be parallel to coordinate axes. The map contains mines with valuable resources, located at some points with integer coordinates. The sizes of mines are relatively small, i.e. they can be treated as points. The city should be built in such a way that all the mines are inside or on the border of the city square.

Building a city takes large amount of money depending on the size of the city, so you have to build the city with the minimum area. Given the positions of the mines find the minimum possible area of the city.

Input

The first line of the input contains number n — the number of mines on the map (2 ≤ n ≤ 1000). Each of the next n lines contains a pair of integers xi and yi — the coordinates of the corresponding mine ( - 109 ≤ xi, yi ≤ 109). All points are pairwise distinct.

Output

Print the minimum area of the city that can cover all the mines with valuable resources.

Sample test(s)

input

2
0 0
2 2

output

4

input

2
0 0
0 3

output

9

 这道题又被玩了，用int各种超范围。。。以后要注意啦。。。

题目很简单，CF竟然把A，B题颠倒，别有用心啊。就是让你求能把所有点放在一个正方形里，这个正方形边平行x轴y轴

 

#include <cstdio>

#include <iostream>

#include <cstring>

#include <cstdlib>

#include <algorithm>

using namespace std;



long long INF = 1E9 + 10;

typedef long long LL;

///又被玩了。。。

int main()

{

    int n;

    LL x, y;



    while(scanf("%d", &n) != EOF)

    {

        LL min_x = INF, min_y = INF, max_x = -INF, max_y = -INF;

        for(int i = 0; i < n; ++i)

        {

            cin >> x >> y;

            min_x = min(min_x, x);

            min_y = min(min_y, y);

            max_y = max(max_y, y);

            max_x = max(max_x, x);

        }

        LL xx = max_x - min_x;

        LL yy = max_y - min_y;

        LL dis = (xx > yy) ? xx : yy;

        cout << dis * dis <<endl;

    }

    return 0;

}

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