Educational Codeforces Round 38 (Rated for Div. 2) B. Run For Your Prize

B. Run For Your Prize

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

You and your friend are participating in a TV show "Run For Your Prize".

At the start of the show n prizes are located on a straight line. i-th prize is located at position ai. Positions of all prizes are distinct. You start at position 1, your friend — at position 106 (and there is no prize in any of these two positions). You have to work as a team and collect all prizes in minimum possible time, in any order.

You know that it takes exactly 1 second to move from position x to position x + 1 or x - 1, both for you and your friend. You also have trained enough to instantly pick up any prize, if its position is equal to your current position (and the same is true for your friend). Carrying prizes does not affect your speed (or your friend's speed) at all.

Now you may discuss your strategy with your friend and decide who will pick up each prize. Remember that every prize must be picked up, either by you or by your friend.

What is the minimum number of seconds it will take to pick up all the prizes?

Input

The first line contains one integer n (1 ≤ n ≤ 105) — the number of prizes.

The second line contains n integers a1, a2, ..., an (2 ≤ ai ≤ 106 - 1) — the positions of the prizes. No two prizes are located at the same position. Positions are given in ascending order.

Output

Print one integer — the minimum number of seconds it will take to collect all prizes.

Examples

input

Copy

3
2 3 9

output

Copy

8

input

Copy

2
2 999995

output

Copy

5

Note

In the first example you take all the prizes: take the first at 1, the second at 2 and the third at 8.

In the second example you take the first prize in 1 second and your friend takes the other in 5 seconds, you do this simultaneously, so the total time is 5.

蛮水的，直接贴代码啦

#include <algorithm>
#include <stack>
#include <istream>
#include <stdio.h>
#include <map>
#include <math.h>
#include <vector>
#include <iostream>
#include <queue>
#include <string.h>
#include <set>
#include <cstdio>
#define FR(i,n) for(int i=0;i<n;i++)
#define MAX 2005
#define mkp pair <int,int>
using namespace std;
//#pragma comment(linker, "/STACK:10240000000,10240000000")
const int maxn = 1e5+50;
typedef long long ll;
const int  inf = 0x3fffff;
void read(int  &x) {
    char ch; bool flag = 0;
    for (ch = getchar(); !isdigit(ch) && ((flag |= (ch == '-')) || 1); ch = getchar());
    for (x = 0; isdigit(ch); x = (x << 1) + (x << 3) + ch - 48, ch = getchar());
    x *= 1 - 2 * flag;
}

int arr[maxn];
int main() {
    int n;
    read(n);
    for(int i=0;i<n;i++)read(arr[i]);
    sort(arr,arr+n);
    int ans = 0;
    for(int i=0;i<n;i++)
    {
        int tmp = min(arr[i]-1,1000000-arr[i]);
        ans=max(tmp,ans);
    }
    cout<<ans<<endl;
    return 0;
}