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A. Lineland Mail

time limit per test

memory limit per test

input

output

Ox coordinate axis. Thus, each city is associated with its position xi — a coordinate on the Ox

Lineland residents love to send letters to each other. A person may send a letter only if the recipient lives in another city (because if they live in the same city, then it is easier to drop in).

Strange but true, the cost of sending the letter is exactly equal to the distance between the sender's city and the recipient's city.

mini and maxi, where mini is the minimum cost of sending a letter from the i-th city to some other city, and maxi is the the maximum cost of sending a letter from the i-th city to some other city

Input

n (2 ≤ n ≤ 105) — the number of cities in Lineland. The second line contains the sequence of ndistinct integers x1, x2, ..., xn (9 ≤ xi ≤ 109), where xi is the x-coordinate of the i-th city. All the xi's are distinct and follow in ascending

Output

n lines, the i-th line must contain two integers mini, maxi, separated by a space, where mini is the minimum cost of sending a letter from the i-th city, and maxi is the maximum cost of sending a letter from the i-th city.

Examples

input

4 -5 -2 2 7

output

3 12 3 9 4 7 5 12

input

2 -1 1

output

2 2 2 2

仔细审题就行！！！

#include<stdio.h>
#include<algorithm>
using namespace std;
int s[200005];
int main()
{
    int n;
    scanf("%d",&n);
    for(int i=0;i<n;i++)
    {
        scanf("%d",&s[i]);
    }
    for(int i=0;i<n;i++)
    {
        if(i==0)
            printf("%d %d\n",s[i+1]-s[i],s[n-1]-s[i]);
        else if(i==n-1)
            printf("%d %d\n",s[n-1]-s[n-2],s[n-1]-s[0]);
        else
            printf("%d %d\n",min(s[i]-s[i-1],s[i+1]-s[i]),max(s[i]-s[0],s[n-1]-s[i]));
    }
    return 0;
}