oj.uz

Submission #557473

# Submission time Handle Problem Language Result Execution time Memory
557473 2022-05-05T10:50:22 Z 600Mihnea Road Construction (JOI21_road_construction) C++17
100 / 100
 3170 ms 18356 KB 
#include <bits/stdc++.h>

bool home = 1;

using namespace std;

typedef long long ll;
const int N=250000+7;

struct T{
  ll x;
  ll y;
  int y_norm;
};

bool cmpTx(T a,T b) {
  return a.x<b.x;
}

int n;
int k;
T a[N];
vector<ll> ys;

int aib[N];

void clr() {
  for(int i=1;i<=n;i++) aib[i]=0;
}

void add(int i,int x) {
  while (i<=n) {
    aib[i]+=x;
    i+=i&(-i);
  }
}

int get(ll val) {
  int low=0,high=(int)ys.size()-1,i=0,sol=0;
  while (low<=high) {
    int mid=(low+high)/2;
    if(ys[mid]<=val) {
      i=mid+1;
      low=mid+1;
    }else{
      high=mid-1;
    }
  }
  while(i) {
    sol+=aib[i];
    i-=i&(-i);
  }
  return sol;
}

ll how_many_under(ll d) {
  clr();
  ll sol=0;
  int pt=1;
  for (int i=1;i<=n;i++) {
    while (a[i].x-a[pt].x>d) add(a[pt++].y_norm,-1);
    sol+=get(a[i].y+d)-get(a[i].y-d-1);
    add(a[i].y_norm,+1);
  }
  return sol;
}

signed main() {
#ifdef ONLINE_JUDGE
  home = 0;
#endif

  home=0;

  if (home) {
    freopen("I_am_iron_man", "r", stdin);
  }
  else {
    ios::sync_with_stdio(0); cin.tie(0);
  }


  cin>>n>>k;

  for (int i=1;i<=n;i++) {
    int x,y;
    cin>>x>>y;
    a[i].x=x+y;
    a[i].y=x-y;
    ys.push_back(a[i].y);
  }
  sort(ys.begin(), ys.end());
  ys.resize(unique(ys.begin(),ys.end())-ys.begin());

  for (int i=1;i<=n;i++) {
    a[i].y_norm=lower_bound(ys.begin(),ys.end(),a[i].y)-ys.begin()+1;
  }

  sort(a+1,a+n+1,cmpTx);

  ll low=0,high=(ll)1e10,sol=-1;

  while (low<=high) {
    ll mid=(low+high)/2;
    if(how_many_under(mid)<=k) {
      sol=mid;
      low=mid+1;
    }else{
      high=mid-1;
    }
  }
  vector<ll> v;
  multiset<pair<ll, int>> s;
  int pt=1;

  for (int i=1;i<=n;i++) {
    while (a[i].x-a[pt].x>sol) s.erase(s.find({a[pt].y, pt++}));


    ll low=a[i].y-sol;
    ll high=a[i].y+sol;

    auto it=s.lower_bound({low, -1});

    while (it!=s.end()&&it->first<=high) {
      int j=it->second;
      v.push_back(max(a[i].x-a[j].x,abs(a[i].y-a[j].y)));
      it++;
    }

    s.insert({a[i].y, i});
  }
  sort(v.begin(),v.end());
  assert((int)v.size()<=k);
  v.resize(k, sol+1);
  for (auto &x: v) {
    cout<<x<<"\n";
  }
}

Compilation message

road_construction.cpp: In function 'int main()':
road_construction.cpp:117:59: warning: operation on 'pt' may be undefined [-Wsequence-point]
  117 |     while (a[i].x-a[pt].x>sol) s.erase(s.find({a[pt].y, pt++}));
      |                                                         ~~^~
road_construction.cpp:76:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   76 |     freopen("I_am_iron_man", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 5024 KB Output is correct
2 Correct 44 ms 5032 KB Output is correct
3 Correct 40 ms 5076 KB Output is correct
4 Correct 51 ms 5048 KB Output is correct
5 Correct 42 ms 3888 KB Output is correct
6 Correct 3 ms 340 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1475 ms 12504 KB Output is correct
2 Correct 1419 ms 15412 KB Output is correct
3 Correct 36 ms 4932 KB Output is correct
4 Correct 1411 ms 15264 KB Output is correct
5 Correct 1369 ms 15396 KB Output is correct
6 Correct 1431 ms 15424 KB Output is correct
7 Correct 1364 ms 15360 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2979 ms 9256 KB Output is correct
2 Correct 2883 ms 14276 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1413 ms 12092 KB Output is correct
5 Correct 1403 ms 14516 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2979 ms 9256 KB Output is correct
2 Correct 2883 ms 14276 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1413 ms 12092 KB Output is correct
5 Correct 1403 ms 14516 KB Output is correct
6 Correct 3008 ms 14268 KB Output is correct
7 Correct 2939 ms 14268 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 2998 ms 14340 KB Output is correct
11 Correct 1344 ms 12096 KB Output is correct
12 Correct 1374 ms 14572 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 5024 KB Output is correct
2 Correct 44 ms 5032 KB Output is correct
3 Correct 40 ms 5076 KB Output is correct
4 Correct 51 ms 5048 KB Output is correct
5 Correct 42 ms 3888 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 1150 ms 7984 KB Output is correct
8 Correct 1118 ms 9976 KB Output is correct
9 Correct 40 ms 5104 KB Output is correct
10 Correct 1077 ms 9368 KB Output is correct
11 Correct 984 ms 9128 KB Output is correct
12 Correct 514 ms 9848 KB Output is correct
13 Correct 480 ms 8572 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 5024 KB Output is correct
2 Correct 44 ms 5032 KB Output is correct
3 Correct 40 ms 5076 KB Output is correct
4 Correct 51 ms 5048 KB Output is correct
5 Correct 42 ms 3888 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 1475 ms 12504 KB Output is correct
8 Correct 1419 ms 15412 KB Output is correct
9 Correct 36 ms 4932 KB Output is correct
10 Correct 1411 ms 15264 KB Output is correct
11 Correct 1369 ms 15396 KB Output is correct
12 Correct 1431 ms 15424 KB Output is correct
13 Correct 1364 ms 15360 KB Output is correct
14 Correct 2979 ms 9256 KB Output is correct
15 Correct 2883 ms 14276 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1413 ms 12092 KB Output is correct
18 Correct 1403 ms 14516 KB Output is correct
19 Correct 3008 ms 14268 KB Output is correct
20 Correct 2939 ms 14268 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 2998 ms 14340 KB Output is correct
24 Correct 1344 ms 12096 KB Output is correct
25 Correct 1374 ms 14572 KB Output is correct
26 Correct 1150 ms 7984 KB Output is correct
27 Correct 1118 ms 9976 KB Output is correct
28 Correct 40 ms 5104 KB Output is correct
29 Correct 1077 ms 9368 KB Output is correct
30 Correct 984 ms 9128 KB Output is correct
31 Correct 514 ms 9848 KB Output is correct
32 Correct 480 ms 8572 KB Output is correct
33 Correct 3065 ms 18228 KB Output is correct
34 Correct 3170 ms 18212 KB Output is correct
35 Correct 2807 ms 17584 KB Output is correct
36 Correct 1262 ms 18356 KB Output is correct
37 Correct 1339 ms 18312 KB Output is correct
38 Correct 1426 ms 17516 KB Output is correct