Submission #1128583

#TimeUsernameProblemLanguageResultExecution timeMemory
1128583AverageAmogusEnjoyerSails (IOI07_sails)C++17
40 / 100
1096 ms5384 KiB
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
template<class T> bool cmin(T &i, T j) { return i > j ? i=j,true:false; }
template<class T> bool cmax(T &i, T j) { return i < j ? i=j,true:false; }

mt19937 mrand(chrono::steady_clock::now().time_since_epoch().count());
uniform_int_distribution<int> ui(0, 1 << 30);

int rng() { 
  return ui(mrand);
}

const int N=100100;
int n;
struct S {
  int Min,l,r;
};
S st[4*N];
int lz[4*N];
S op(S a,S b) {
  if (a.Min < b.Min) 
    return a;
  if (a.Min > b.Min)
    return b;
  assert(a.r+1==b.l);
  return S{a.Min,a.l,b.r};
}
void push(int u) {
  st[2*u].Min += lz[u],st[2*u+1].Min += lz[u];
  lz[2*u]+=lz[u],lz[2*u+1]+=lz[u];
  lz[u]=0;
}
void upd(int l,int r,int x,int u=1,int tl=0,int tr=N-1) {
  if (l > r) return;
  if (l == tl && r == tr) {
    st[u].Min += x;
    lz[u] += x;
    return;
  }
  push(u);
  int mid=(tl+tr)/2;
  upd(l,min(mid,r),x,2*u,tl,mid);
  upd(max(mid+1,l),r,x,2*u+1,mid+1,tr);
  st[u]=op(st[2*u],st[2*u+1]);
}
S query(int l,int r,int u=1,int tl=0,int tr=N-1) {
  if (l > r) return S{1<<30,0,0};
  if (l == tl && r == tr) {
    return st[u];
  }
  push(u);
  int mid=(tl+tr)/2;
  return op(query(l,min(mid,r),2*u,tl,mid),query(max(mid+1,l),r,2*u+1,mid+1,tr));
}
void build(int u=1,int tl=0,int tr=N-1) {
  st[u]=S{0,tl,tr};
  if (tl==tr) return;
  int mid=(tl+tr)/2;
  build(2*u,tl,mid);
  build(2*u+1,mid+1,tr);
}
int order[N];
int h[N],k[N];

int main() {
  ios_base::sync_with_stdio(false); 
  cin.tie(nullptr);
    
  cin >> n;
  for (int i=0;i<n;i++)
    cin >> h[i] >> k[i];
  iota(order,order+n,0);
  sort(order,order+n,[&](int i,int j) {
    return h[i] < h[j];
  });
  build();
  for (int t=0;t<n;t++) {
    int i = order[t];
    vector<pair<int,int>> to_do;
    // cout << i << endl;
    while(k[i] > 0) {
      S res = query(0,h[i] - 1);
      int l = res.l;
      int now = min(k[i],res.r-res.l+1);
      int r = l+now-1;
      to_do.emplace_back(l,r);
      k[i] -= now;
      upd(l,r,2*N);
      // cout << l << " " << r << endl;
    }
    for (auto &[l,r]: to_do) 
      upd(l,r,-2*N+1);
  }

  ll ans = 0;
  for (int i=0;i<N;i++) {
    S Now = query(i,i);
    ans += 1LL * Now.Min * (Now.Min - 1) / 2;
  }
  cout << ans << endl;
} 
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