Megacity

A - Megacity

Crawling in process...Crawling failedTime Limit:2000MS    Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

SubmitStatus Practice CodeForces 424B

Description

The administration of the Tomsk Region firmly believes that it's time to become a megacity (that is, get population of one million). Instead of improving the demographic situation, they decided to achieve its goal by expanding the boundaries of the city.

The city of Tomsk can be represented as point on the plane with coordinates (0;0). The city is surrounded with n other locations, the i-th one has coordinates (x_i,y_i) with the population ofk_i people. You can widen the city boundaries to a circle of radiusr. In such case all locations inside the circle and on its border are included into the city.

Your goal is to write a program that will determine the minimum radius r, to which is necessary to expand the boundaries of Tomsk, so that it becomes a megacity.

Input

The first line of the input contains two integers n ands (1 ≤ n ≤ 10³;1 ≤ s < 10⁶) — the number of locatons around Tomsk city and the population of the city. Thenn lines follow. The i-th line contains three integers — the x_i andy_i coordinate values of thei-th location and the number k_i of people in it (1 ≤ k_i < 10⁶). Each coordinate is an integer and doesn't exceed10⁴ in its absolute value.

It is guaranteed that no two locations are at the same point and no location is at point (0; 0).

Output

In the output, print "-1" (without the quotes), if Tomsk won't be able to become a megacity. Otherwise, in the first line print a single real number — the minimum radius of the circle that the city needs to expand to in order to become a megacity.

The answer is considered correct if the absolute or relative error don't exceed10^- 6.

Sample Input

Input

4 9999981 1 12 2 13 3 12 -2 1

Output

2.8284271

Input

4 9999981 1 22 2 13 3 12 -2 1

Output

1.4142136

Input

2 11 1 9999972 2 1

Output

-1

题意：要把tom弄成一个big city，即人口数大于1000000，告诉你它周边有几个城市和人口数，要你圈出满足条件的最短半径

我们可以将距离从小到大排序 然后一个个city人口相加 当人口数达标时输出那个距离 就是要求的最短的半径距离

#include<stdio.h>#include<string.h>#include<math.h>#include<iostream>#include<algorithm>using namespace std;#define Max 1000000struct ac{    int x,y,p;    double distant;}city[1100];bool operator<(const ac& a,const ac& b){    return a.distant<b.distant;}int n,s;int main(){    double ans;    while(~scanf("%d%d",&n,&s))    {        int i;        for(i=0;i<n;i++)        {            scanf("%d%d%d",&city[i].x,&city[i].y,&city[i].p);            city[i].distant=sqrt(double(city[i].x*city[i].x+city[i].y*city[i].y));        }        sort(city,city+n);        ans=0;        bool flag=0;        for(i=0;i<n;i++)        {            s+=city[i].p;            ans=city[i].distant;            if(s>=Max)            {                flag=1;                break;            }        }        if(flag)            printf("%.7lf\n",ans);        else            puts("-1");    }}