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Description

City X consists of n vertical and n horizontal infinite roads, forming n × n intersections. Roads (both vertical and horizontal) are numbered from 1 to n, and the intersections are indicated by the numbers of the roads that form them.

Sand roads have long been recognized out of date, so the decision was made to asphalt them. To do this, a team of workers was hired and a schedule of work was made, according to which the intersections should be asphalted.

Road repairs are planned for n² days. On the i-th day of the team arrives at the i-th intersection in the list and if none of the two roads that form the intersection were already asphalted they asphalt both roads. Otherwise, the team leaves the intersection, without doing anything with the roads.

According to the schedule of road works tell in which days at least one road will be asphalted.

Input

The first line contains integer n (1 ≤ n ≤ 50) — the number of vertical and horizontal roads in the city.

Next n² lines contain the order of intersections in the schedule. The i-th of them contains two numbers h_i, v_i (1 ≤ h_i, v_i ≤ n), separated by a space, and meaning that the intersection that goes i-th in the timetable is at the intersection of the h_i-th horizontal and v_i-th vertical roads. It is guaranteed that all the intersections in the timetable are distinct.

Output

In the single line print the numbers of the days when road works will be in progress in ascending order. The days are numbered starting from 1.

Sample Input

Input

Output

1 4

Input

1
1 1

Output

说是有n条横向的路，n条纵向的路，交叉得到n*n个路口...


要修理路.到某个路口，只有当形成这个路口的两条路都没有被修过的时候，这两条路才会被修．否则什么都不会做．


给出道路数n以及时间安排表（第i天到达哪个路口..路口用两条路的标号来表示）


问哪天修路了...

#include<stdio.h>

#include<string.h>
int main()
{
    int a[10000]= {0},b[10000]= {0},c[10000],i,e,d,t=0,n;
    while(~scanf("%d",&n))
    {
        t=0;
        for(i=1; i<=n*n; i++)
        {
            scanf("%d%d",&d,&e);
            if(a[d]==0&&b[e]==0)
            {
                a[d]=1;
                b[e]=1;
                c[t++]=i;
            }
        }
        for(i=0; i<=t-1; i++)
        {
            if(i<=t-2)
            printf("%d ",c[i]);
            else
                printf("%d\n",c[i]);
        }

        memset(a,0,sizeof(a));
        memset(b,0,sizeof(b));
        memset(c,0,sizeof(c));
    }

    return 0;
}