제출 #198837

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
198837		brcode	Drzava (COCI15_drzava)	C++14	128 / 160	728 ms	65540 KiB

drzava

#include <iostream>
#include <iomanip>
#include <bits/stdc++.h>
using namespace std;
const long long MAXN = 5e4+5;
const long double eps = 0.00001;
bool visited[MAXN];
long long test;
long long n,k;
pair<pair<long long,long long>,long long> p[MAXN];
struct cmpf{
    inline bool operator()(const long long& i, const long long& j)const{
        if(p[i].first.second!=p[j].first.second){
             return p[i].first.second<p[j].first.second;
        }
         return i>j;
    }
};
set<long long,cmpf> s1;
vector<long long> v1[MAXN];
vector<long long> tempv;
bool dp[MAXN][40];
bool dist(long long i,long long j,long double x){
    return (long double)((p[i].first.first-p[j].first.first)*(p[i].first.first-p[j].first.first))+((p[i].first.second-p[j].first.second)*(p[i].first.second-p[j].first.second))<=x*x;
}
void dfs(long long curr){
    tempv.push_back(curr);
    visited[curr] = true;
    for(long long x:v1[curr]){
        if(!visited[x]){
            dfs(x);
        }
    }
}
bool findsubset(){
    long long m = tempv.size();
    m--;
    if(m>k){
        return true;
    }
    
    for(long long i=0;i<=m+1;i++){
        for(long long j=0;j<=k+1;j++){
            dp[i][j] = false;
        }
    }
    for(long long mod = 0;mod<k;mod++){
        dp[m+1][mod] = !mod;
    }
    for(long long i=m;i>=1;i--){
        for(long long mod = 0;mod<k;mod++){
            
                dp[i][mod] = dp[i+1][mod];
            
            
            if(dp[i+1][(mod+p[tempv[i]].second)%k]){
                dp[i][mod] = true;
               
            }
        }
        if(dp[i+1][p[tempv[i]].second]){
            
            return true;
        }
    }
    return false;
    
    
}
bool check(long double x){
    for(long long i=1;i<=n;i++){
        v1[i].clear();
        visited[i] = false;
    }
    s1.clear();
    long long j = 1;
    for(long long i=1;i<=n;i++){
        if(test){
                //cout<<p[i].first.first-p[j].first.first<<endl;
            }
        while((long double)(p[i].first.first-p[j].first.first)>x){
            
            
            s1.erase(j);
            j++;
        }
        
        
        if(!s1.empty()){
            long long cnt = 0;
            p[n+1] = make_pair(make_pair(p[i].first.first,p[i].first.second-x),0);
            
            for(auto it = s1.lower_bound(n+1);it!=s1.end();it++){
                long long idx = *it;
                if(test && i==6){
                    //it--;
                    //idx = *it;
                  //cout<<i+1<<" "<<j<<" "<<p[i].first.second-x<<" "<<p[idx].first.first<<" "<<p[i].first.first<<" "<<p[i].first.second<<" "<<p[idx].first.second<<endl;
                }
                if(p[idx].first.second>p[i].first.second+x){
                    break;
                }
                cnt++;
                if(cnt>=8*k){
                    return true;
                    
                }
                if(dist(i,idx,x)){
                    
                    v1[i].push_back(idx);
                    v1[idx].push_back(i);
                }
            }
        }
        s1.insert(i);
    }
    
    for(long long i=1;i<=n;i++){
        if(!visited[i]){
            tempv.clear();
            tempv.push_back(-1);
            dfs(i);
            if(test == 23){
               // cout<<i<<" "<<tempv.size()-1<<endl;
                if(i==5){
                    test = 25;
                }
            }
            if(findsubset()){
                return true;
            }
            
        }
    }
   
    return false;
}
int main() {
    cin>>n>>k;
    for(long long i=1;i<=n;i++){
        cin>>p[i].first.first>>p[i].first.second>>p[i].second;
        p[i].second%=k;
    }
    sort(p+1,p+n+1);
    long double l = 0;
    long double r = 1e9;
    long double ans = -1;
    while(r-l>eps){
        long double mid = (l+r)/2;
        
        if(check(mid)){
            
            ans = mid;
            r = mid-eps;
        }else{
            l = mid+eps;
        }
       
    }
   
    test=23;
  //  cout<<check(11163410)<<endl;
    if(ans == -1){
        cout<<"No solution"<<endl;
    }else{
        cout<<std::fixed<<setprecision(3)<<ans<<endl;
    }
}

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