#432261 (C++17) No.728 ギブ and テイク

• 問題: No.728 ギブ and テイク
• ユーザー: beet
• 提出日時: 2020-02-21 16:50:30
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 832 ms / 3,000 ms
• コード長: 5,833 bytes
• コンパイル時間: 2,492 ms
• コンパイル使用メモリ: 211,928 KB
• 実行使用メモリ: 27,808 KB
• 最終ジャッジ日時: 2024-10-08 19:50:40
• 合計ジャッジ時間: 11,449 ms
• ジャッジサーバーID （参考情報）: judge3 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,248 KB
testcase_02	AC	2 ms; 5,248 KB
testcase_03	AC	2 ms; 5,248 KB
testcase_04	AC	2 ms; 5,248 KB
testcase_05	AC	2 ms; 5,248 KB
testcase_06	AC	2 ms; 5,248 KB
testcase_07	AC	2 ms; 5,248 KB
testcase_08	AC	2 ms; 5,248 KB
testcase_09	AC	2 ms; 5,248 KB
testcase_10	AC	2 ms; 5,248 KB
testcase_11	AC	2 ms; 5,248 KB
testcase_12	AC	3 ms; 5,248 KB
testcase_13	AC	39 ms; 5,248 KB
testcase_14	AC	67 ms; 5,620 KB
testcase_15	AC	28 ms; 5,248 KB
testcase_16	AC	58 ms; 5,344 KB
testcase_17	AC	55 ms; 5,248 KB
testcase_18	AC	527 ms; 20,588 KB
testcase_19	AC	576 ms; 21,648 KB
testcase_20	AC	728 ms; 24,748 KB
testcase_21	AC	639 ms; 22,608 KB
testcase_22	AC	218 ms; 11,016 KB
testcase_23	AC	135 ms; 8,096 KB
testcase_24	AC	457 ms; 17,580 KB
testcase_25	AC	445 ms; 17,536 KB
testcase_26	AC	207 ms; 10,592 KB
testcase_27	AC	832 ms; 27,808 KB
testcase_28	AC	351 ms; 27,680 KB
testcase_29	AC	2 ms; 5,248 KB
testcase_30	AC	2 ms; 5,248 KB
testcase_31	AC	2 ms; 5,248 KB
testcase_32	AC	2 ms; 5,248 KB

ソースコード

#define PROBLEM "https://yukicoder.me/problems/1937"

#include<bits/stdc++.h>
using namespace std;

#define call_from_test
#ifndef call_from_test
#include<bits/stdc++.h>
using namespace std;
#endif
//BEGIN CUT HERE
struct FastIO{
  FastIO(){
    cin.tie(0);
    ios::sync_with_stdio(0);
  }
}fastio_beet;
//END CUT HERE
#ifndef call_from_test
signed main(){
  return 0;
}
#endif

#ifndef call_from_test
#include<bits/stdc++.h>
using namespace std;
#endif
//BEGIN CUT HERE
struct FullyIndexableDictionary{
  int len,blk;
  vector<unsigned> bit;
  vector<int> sum;

  FullyIndexableDictionary(){}
  FullyIndexableDictionary(int len)
    :len(len),blk((len+31)>>5),bit(blk,0),sum(blk,0){}

  void set(int k){
    bit[k>>5]|=1u<<(k&31);
  }

  void build(){
    sum[0]=0;
    for(int i=1;i<blk;i++)
      sum[i]=sum[i-1]+__builtin_popcount(bit[i-1]);
  }

  bool operator[](int k) const{
    return bool((bit[k>>5]>>(k&31))&1);
  }

  int rank(int k){
    return sum[k>>5]+__builtin_popcount(bit[k>>5]&((1u<<(k&31))-1));
  }

  int rank(bool v,int k){
    return (v?rank(k):k-rank(k));
  }

  int select(bool v,int k){
    if(k<0||rank(v,len)<=k) return -1;
    int l=0,r=len;
    while(l+1<r){
      int m=(l+r)>>1;
      if(rank(v,m)>=k+1) r=m;
      else l=m;
    }
    return r-1;
  }

  int select(bool v,int i,int l){
    return select(v,i+rank(v,l));
  }
};

template<class T,int MAXLOG>
struct WaveletMatrix{
  int len;
  FullyIndexableDictionary mat[MAXLOG];
  int zs[MAXLOG],buff1[MAXLOG],buff2[MAXLOG];
  static const T npos=-1;

  int freq_dfs(int d,int l,int r,T val,T a,T b){
    if(l==r) return 0;
    if(d==MAXLOG) return (a<=val&&val<b)?r-l:0;
    T nv=T(1)<<(MAXLOG-d-1)|val;
    T nnv=((T(1)<<(MAXLOG-d-1))-1)|nv;
    if(nnv<a||b<=val) return 0;
    if(a<=val&&nnv<b) return r-l;
    int lc=mat[d].rank(1,l),rc=mat[d].rank(1,r);
    return freq_dfs(d+1,l-lc,r-rc,val,a,b)
      +freq_dfs(d+1,lc+zs[d],rc+zs[d],nv,a,b);
  }

  WaveletMatrix(vector<T> data){
    len=data.size();
    vector<T> ls(len),rs(len);
    for(int dep=0;dep<MAXLOG;dep++){
      mat[dep]=FullyIndexableDictionary(len+1);
      int p=0,q=0;
      for(int i=0;i<len;i++){
        bool k=(data[i]>>(MAXLOG-(dep+1)))&1;
        if(k) rs[q++]=data[i],mat[dep].set(i);
        else  ls[p++]=data[i];
      }
      zs[dep]=p;
      mat[dep].build();
      swap(ls,data);
      for(int i=0;i<q;i++) data[p+i]=rs[i];
    }
  }

  T access(int k){
    T res=0;
    for(int dep=0;dep<MAXLOG;dep++){
      bool bit=mat[dep][k];
      res=(res<<1)|bit;
      k=mat[dep].rank(bit,k)+zs[dep]*dep;
    }
    return res;
  }

  // return the number of v in [0,k)
  int rank(T v,int k){
    int l=0,r=k;
    for(int dep=0;dep<MAXLOG;dep++){
      buff1[dep]=l;buff2[dep]=r;
      bool bit=(v>>(MAXLOG-(dep+1)))&1;
      l=mat[dep].rank(bit,l)+zs[dep]*bit;
      r=mat[dep].rank(bit,r)+zs[dep]*bit;
    }
    return r-l;
  }

  // return the position of k-th v
  int select(T v,int k){
    rank(v,len);
    for(int dep=MAXLOG-1;dep>=0;dep--){
      bool bit=(v>>(MAXLOG-(dep+1)))&1;
      k=mat[dep].select(bit,k,buff1[dep]);
      if(k>=buff2[dep]||k<0) return -1;
      k-=buff1[dep];
    }
    return k;
  }

  int select(T v,int k,int l){
    return select(v,k+rank(v,l));
  }

  // return k-th largest value in [l,r)
  T quantile(int l,int r,int k){
    if(r-l<=k||k<0) return -1;
    T res=0;
    for(int dep=0;dep<MAXLOG;dep++){
      int p=mat[dep].rank(1,l);
      int q=mat[dep].rank(1,r);
      if(q-p>k){
        l=p+zs[dep];
        r=q+zs[dep];
        res|=T(1)<<(MAXLOG-(dep+1));
      }else{
        k-=(q-p);
        l-=p;
        r-=q;
      }
    }
    return res;
  }

  T rquantile(int l,int r,int k){
    return quantile(l,r,r-l-k-1);
  }

  // return number of points in [left, right) * [lower, upper)
  int rangefreq(int left,int right,T lower,T upper){
    return freq_dfs(0,left,right,0,lower,upper);
  }

  pair<int, int> ll(int l,int r,T v){
    int res=0;
    for(int dep=0;dep<MAXLOG;dep++){
      buff1[dep]=l;buff2[dep]=r;
      bool bit=(v>>(MAXLOG-(dep+1)))&1;
      if(bit) res+=r-l+mat[dep].rank(bit,l)-mat[dep].rank(bit,r);
      l=mat[dep].rank(bit,l)+zs[dep]*bit;
      r=mat[dep].rank(bit,r)+zs[dep]*bit;
    }
    return make_pair(res,r-l);
  }

  int lt(int l,int r,T v){
    auto p=ll(l,r,v);
    return p.first;
  }

  int le(int l,int r,T v){
    auto p=ll(l,r,v);
    return p.first+p.second;
  }

  T succ(int l,int r,T v){
    int k=le(l,r,v);
    return k==r-l?npos:rquantile(l,r,k);
  }

  T pred(int l,int r,T v){
    int k=lt(l,r,v);
    return k?rquantile(l,r,k-1):npos;
  }
};
//END CUT HERE
#ifndef call_from_test
//INSERT ABOVE HERE

// test rquantile
signed SPOJ_MKTHNUM(){
  int n,q;
  scanf("%d %d",&n,&q);
  vector<int> vs(n);
  for(int i=0;i<n;i++) scanf("%d",&vs[i]);
  const int OFS = 1e9+1;
  for(int i=0;i<n;i++) vs[i]+=OFS;
  WaveletMatrix<int,32> wm(vs);
  for(int i=0;i<q;i++){
    int l,r,k;
    scanf("%d %d %d",&l,&r,&k);
    l--;k--;
    printf("%d\n",wm.rquantile(l,r,k)-OFS);
  }
  return 0;
}
/*
  verified on 2019/10/29
  https://www.spoj.com/problems/MKTHNUM/
*/

signed main(){
  //SPOJ_MKTHNUM();
  return 0;
}
#endif

#undef call_from_test

signed main(){
  using ll = long long;

  int n;
  cin>>n;

  vector<ll> as(n),ls(n),rs(n);
  for(int i=0;i<n;i++) cin>>as[i];
  for(int i=0;i<n;i++) cin>>ls[i]>>rs[i];

  const ll OFS = 2e9;
  vector<ll> bs(n),cs(n);
  for(int i=0;i<n;i++){
    as[i]+=OFS;
    bs[i]=as[i]-ls[i];
    cs[i]=as[i]+rs[i];
  }
  WaveletMatrix<ll, 40> wm1(bs),wm2(cs);

  ll ans=0;
  for(int i=0;i<n;i++){
    int x=lower_bound(as.begin(),as.end(),as[i]-ls[i])-as.begin();
    int y=upper_bound(as.begin(),as.end(),as[i]+rs[i])-as.begin();
    ans+=wm2.rangefreq(x,i,as[i],OFS*2);
    ans+=wm1.rangefreq(i+1,y,0,as[i]+1);
  }

  cout<<ans/2<<endl;
  return 0;
}