Submission #972086

#TimeUsernameProblemLanguageResultExecution timeMemory
972086huutuanRoad Construction (JOI21_road_construction)C++14
100 / 100
1506 ms13660 KiB
#include<bits/stdc++.h>

using namespace std;

#define int long long

const int N=25e4+10;
int n, k;
pair<int, int> a[N];

bool check(int mid, bool trace, vector<int> &ans){
   int cnt=0;
   set<pair<int, int>> st;
   for (int i=1, j=1; i<=n; ++i){
      while (a[i].first-a[j].first>mid){
         st.erase({a[j].second, j});
         ++j;
      }
      auto it=st.lower_bound({a[i].second-mid, (int)0});
      while (it!=st.end() && abs(it->first-a[i].second)<=mid){
         ++cnt;
         if (!trace && cnt>=k) return true;
         if (trace) ans.push_back(max(abs(a[i].first-a[it->second].first), abs(a[i].second-it->first)));
         ++it;
      }
      st.insert({a[i].second, i});
   }
   return false;
}

int32_t main(){
   ios_base::sync_with_stdio(false);
   cin.tie(nullptr);
   cin >> n >> k;
   for (int i=1; i<=n; ++i){
      int x, y; cin >> x >> y;
      a[i]={x+y, x-y};
   }
   sort(a+1, a+n+1);
   int l=1, r=4e9;
   vector<int> ans;
   while (l<=r){
      int mid=(l+r)>>1;
      if (check(mid, 0, ans)) r=mid-1;
      else l=mid+1;
   }
   check(r, 1, ans);
   sort(ans.begin(), ans.end());
   ans.resize(k, l);
   for (int i:ans) cout << i << '\n';
   return 0;
}
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