CF996B World Cup 思维 第十四 *

World Cup

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Allen wants to enter a fan zone that occupies a round square and has $\mathrm{nn entrances.}$

There already is a queue of ${\mathrm{aiai people\; in\; front\; of\; the ii-th\; entrance.\; Each\; entrance\; allows\; one\; person\; from\; its\; queue\; to\; enter\; the\; fan\; zone\; in\; one\; minute.}}^{}$

Allen uses the following strategy to enter the fan zone:

• Initially he stands in the end of the queue in front of the first entrance.
• Each minute, if he is not allowed into the fan zone during the minute (meaning he is not the first in the queue), he leaves the current queue and stands in the end of the queue of the next entrance (or the first entrance if he leaves the last entrance).

Determine the entrance through which Allen will finally enter the fan zone.

Input

The first line contains a single integer $\mathrm{nn (2\le n\le 1052\le n\le 105) —\; the\; number\; of\; entrances.}$

The second line contains $\mathrm{nn integers a1,a2,\dots ,ana1,a2,\dots ,an (0\le ai\le 1090\le ai\le 109) —\; the\; number\; of\; people\; in\; queues.\; These\; numbers\; do\; not\; include\; Allen.}$

Output

Print a single integer — the number of entrance that Allen will use.

Examples

input

Copy

4
2 3 2 0

output

Copy

3

input

Copy

2
10 10

output

Copy

1

input

Copy

6
5 2 6 5 7 4

output

Copy

6

Note

In the first example the number of people (not including Allen) changes as follows: $[2,3,2,0]\to [1,2,1,0]\to [0,1,0,0][2,3,2,0]\to [1,2,1,0]\to [0,1,0,0].\; The\; number\; in\; bold\; is\; the\; queue\; Alles\; stands\; in.\; We\; see\; that\; he\; will\; enter\; the\; fan\; zone\; through\; the\; third\; entrance.$

In the second example the number of people (not including Allen) changes as follows:$[10,10]\to [9,9]\to [8,8]\to [7,7]\to [6,6]\to [5,5]\to [4,4]\to [3,3]\to [2,2]\to [1,1]\to [0,0][10,10]\to [9,9]\to [8,8]\to [7,7]\to [6,6]\to [5,5]\to [4,4]\to [3,3]\to [2,2]\to [1,1]\to [0,0].$

In the third example the number of people (not including Allen) changes as follows:$[5,2,6,5,7,4]\to [4,1,5,4,6,3]\to [3,0,4,3,5,2]\to [2,0,3,2,4,1]\to [1,0,2,1,3,0]\to [0,0,1,0,2,0]$

#include <map>
#include <set>
#include <cmath>
#include <queue>
#include <cstdio>
#include <vector>
#include <string>
#include <cstring>
#include <iostream>
#include <algorithm>
#define debug(a) cout << #a << " " << a << endl
using namespace std;
const int maxn = 1e5 + 10;
const int mod = 1e9 + 7;
typedef long long ll;
ll a[maxn];
int main(){
    std::ios::sync_with_stdio(false);
    ll n;
    while( cin >> n ) {
        ll maxm = 1e12, sum = n;
        for( ll i = 1; i <= n; i ++ ) {
            cin >> a[i];
            a[i] -= i - 1;
            if( maxm > ( a[i] + n - 1 ) / n ) {
                maxm = ( a[i] + n - 1 ) / n;
                sum = i;
            }
        }
        cout << sum << endl;
    }
    return 0;
}