test/yukicoder/5223.test.cpp

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• Last update: 2021-05-01 12:56:38+09:00
• Problem: https://yukicoder.me/problems/5223

Depends on

• algorithm/mo.cpp
• Binary Indexed Tree (datastructure/binaryindexedtree.cpp)
• 遅延伝播セグメント木 (segtree/basic/lazy.cpp)

Code

// verification-helper: PROBLEM https://yukicoder.me/problems/5223

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

#define call_from_test
#include "../../algorithm/mo.cpp"
#include "../../segtree/basic/lazy.cpp"
#include "../../datastructure/binaryindexedtree.cpp"
#undef call_from_test

signed main(){
  cin.tie(0);
  ios::sync_with_stdio(0);
  const char newl = '\n';

  int n,q;
  cin>>n>>q;

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

  auto f=[&](int a,int b){return min(a,b);};
  auto g=[&](int a,int b){return a+b;};
  int ti(1e9),ei(0);
  SegmentTree<int, int> seg(f,g,g,ti,ei);
  seg.build(vector<int>(n+2,0));

  BIT<int> bitL(n+2),bitR(n+2);

  using ll = long long;
  ll res=0;
  auto expandL=[&](int i){
    res-=bitL.query(as[i]+1,n+2);
    res-=bitR.query(0,as[i]);
    bitL.add(as[i],-1);
    seg.update(0,as[i],-1);
  };
  auto expandR=[&](int i){
    res-=bitL.query(as[i]+1,n+2);
    res-=bitR.query(0,as[i]);
    bitR.add(as[i],-1);
    seg.update(as[i]+1,n+2,-1);
  };
  auto shrinkL=[&](int i){
    res+=bitL.query(as[i]+1,n+2);
    res+=bitR.query(0,as[i]);
    bitL.add(as[i],+1);
    seg.update(0,as[i],+1);
  };
  auto shrinkR=[&](int i){
    res+=bitL.query(as[i]+1,n+2);
    res+=bitR.query(0,as[i]);
    bitR.add(as[i],+1);
    seg.update(as[i]+1,n+2,+1);
  };

  for(int i=n-1;i>=0;i--){
    res+=bitR.query(0,as[i]);
    bitR.add(as[i],+1);
    seg.update(as[i]+1,n+2,+1);
  }

  Mo mo(n,200,expandL,expandR,shrinkL,shrinkR);

  vector<int> ls,rs;
  for(int i=0;i<q;i++){
    int l,r;
    cin>>l>>r;
    l--;
    ls.emplace_back(l);
    rs.emplace_back(r);
    mo.add(l,r);
  }

  mo.build();
  vector<ll> ans(q,0);
  for(int i=0;i<q;i++){
    int k=mo.process();
    ans[k]=(rs[k]-ls[k])*seg.query(0,n+2)+res;
  }

  for(int i=0;i<q;i++) cout<<ans[i]<<newl;
  return 0;
}

#line 1 "test/yukicoder/5223.test.cpp"
// verification-helper: PROBLEM https://yukicoder.me/problems/5223

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

#define call_from_test
#line 1 "algorithm/mo.cpp"

#line 3 "algorithm/mo.cpp"
using namespace std;
#endif
//BEGIN CUT HERE
struct Mo{
  using F = function<void(int)>;
  vector<int> ls,rs,ord;
  int n,width,nl,nr,ptr;
  F expandL,expandR;
  F shrinkL,shrinkR;

  Mo(int n,int width,F expandL,F expandR,F shrinkL,F shrinkR):
    n(n),width(width),nl(0),nr(0),ptr(0),
    expandL(expandL),expandR(expandR),
    shrinkL(shrinkL),shrinkR(shrinkR){}

  Mo(int n,int width,F expand,F shrink):
    Mo(n,width,expand,expand,shrink,shrink){}

  void add(int l,int r){
    ls.emplace_back(l);
    rs.emplace_back(r);
  }

  void build(){
    ord.resize(ls.size());
    iota(ord.begin(),ord.end(),0);
    sort(ord.begin(),ord.end(),
         [&](int a,int b){
           if(ls[a]/width!=ls[b]/width) return ls[a]<ls[b];
           if(rs[a]==rs[b]) return ls[a]<ls[b];
           return bool((rs[a]<rs[b])^((ls[a]/width)&1));
         });
  }

  int process(){
    if(ptr==(int)ord.size()) return -1;
    const int idx=ord[ptr++];
    while(nl>ls[idx]) expandL(--nl);
    while(nr<rs[idx]) expandR(nr++);
    while(nl<ls[idx]) shrinkL(nl++);
    while(nr>rs[idx]) shrinkR(--nr);
    return idx;
  }
};
//END CUT HERE
#ifndef call_from_test
signed main(){
  return 0;
}
#endif
#line 1 "segtree/basic/lazy.cpp"

#line 3 "segtree/basic/lazy.cpp"
using namespace std;
#endif
//BEGIN CUT HERE
template <typename T,typename E>
struct SegmentTree{
  using F = function<T(T,T)>;
  using G = function<T(T,E)>;
  using H = function<E(E,E)>;
  int n,height;
  F f;
  G g;
  H h;
  T ti;
  E ei;
  vector<T> dat;
  vector<E> laz;
  SegmentTree(F f,G g,H h,T ti,E ei):
    f(f),g(g),h(h),ti(ti),ei(ei){}

  void init(int n_){
    n=1;height=0;
    while(n<n_) n<<=1,height++;
    dat.assign(2*n,ti);
    laz.assign(2*n,ei);
  }

  void build(const vector<T> &v){
    int n_=v.size();
    init(n_);
    for(int i=0;i<n_;i++) dat[n+i]=v[i];
    for(int i=n-1;i;i--)
      dat[i]=f(dat[(i<<1)|0],dat[(i<<1)|1]);
  }

  inline T reflect(int k){
    return laz[k]==ei?dat[k]:g(dat[k],laz[k]);
  }

  inline void propagate(int k){
    if(laz[k]==ei) return;
    laz[(k<<1)|0]=h(laz[(k<<1)|0],laz[k]);
    laz[(k<<1)|1]=h(laz[(k<<1)|1],laz[k]);
    dat[k]=reflect(k);
    laz[k]=ei;
  }

  inline void thrust(int k){
    for(int i=height;i;i--) propagate(k>>i);
  }

  inline void recalc(int k){
    while(k>>=1)
      dat[k]=f(reflect((k<<1)|0),reflect((k<<1)|1));
  }

  void update(int a,int b,E x){
    if(a>=b) return;
    thrust(a+=n);
    thrust(b+=n-1);
    for(int l=a,r=b+1;l<r;l>>=1,r>>=1){
      if(l&1) laz[l]=h(laz[l],x),l++;
      if(r&1) --r,laz[r]=h(laz[r],x);
    }
    recalc(a);
    recalc(b);
  }

  void set_val(int a,T x){
    thrust(a+=n);
    dat[a]=x;laz[a]=ei;
    recalc(a);
  }

  T query(int a,int b){
    if(a>=b) return ti;
    thrust(a+=n);
    thrust(b+=n-1);
    T vl=ti,vr=ti;
    for(int l=a,r=b+1;l<r;l>>=1,r>>=1) {
      if(l&1) vl=f(vl,reflect(l++));
      if(r&1) vr=f(reflect(--r),vr);
    }
    return f(vl,vr);
  }

  template<typename C>
  int find(int st,C &check,T &acc,int k,int l,int r){
    if(l+1==r){
      acc=f(acc,reflect(k));
      return check(acc)?k-n:-1;
    }
    propagate(k);
    int m=(l+r)>>1;
    if(m<=st) return find(st,check,acc,(k<<1)|1,m,r);
    if(st<=l and !check(f(acc,dat[k]))){
      acc=f(acc,dat[k]);
      return -1;
    }
    int vl=find(st,check,acc,(k<<1)|0,l,m);
    if(~vl) return vl;
    return find(st,check,acc,(k<<1)|1,m,r);
  }

  template<typename C>
  int find(int st,C &check){
    T acc=ti;
    return find(st,check,acc,1,0,n);
  }
};
//END CUT HERE
#ifndef call_from_test

signed CFR569_C(){
  cin.tie(0);
  ios::sync_with_stdio(0);

  int n,m;
  cin>>n>>m;
  vector<int> as(n),bs(m);
  for(int i=0;i<n;i++) cin>>as[i];
  for(int i=0;i<m;i++) cin>>bs[i];

  auto f=[](int a,int b){return max(a,b);};
  auto g=[](int a,int b){return a+b;};
  int ti=0,ei=0;
  SegmentTree<int, int> seg(f,g,g,ti,ei);

  const int sz = 1<<20;
  seg.build(vector<int>(sz,0));

  for(int i=0;i<n;i++) seg.update(sz-as[i],sz,+1);
  for(int i=0;i<m;i++) seg.update(sz-bs[i],sz,-1);

  int q;
  cin>>q;
  auto check=[](int d){return d>0;};
  for(int i=0;i<q;i++){
    int t,k,v;
    cin>>t>>k>>v;
    k--;
    if(t==1){
      seg.update(sz-as[k],sz,-1);
      as[k]=v;
      seg.update(sz-as[k],sz,+1);
    }
    if(t==2){
      seg.update(sz-bs[k],sz,+1);
      bs[k]=v;
      seg.update(sz-bs[k],sz,-1);
    }
    int pos=seg.find(0,check);
    cout<<(pos<0?pos:sz-pos)<<"\n";
  }
  cout<<flush;
  return 0;
}
/*
  verified on 2019/10/28
  https://codeforces.com/contest/1179/problem/C
*/

signed main(){
  CFR569_C();
  return 0;
}
#endif
#line 1 "datastructure/binaryindexedtree.cpp"

#line 3 "datastructure/binaryindexedtree.cpp"
using namespace std;
#endif

//BEGIN CUT HERE
template<typename T>
class BIT{
private:
  // \sum_{j < i}  v[j]
  T sum(int i){
    T s(0);
    for(int x=i;x>0;x-=(x&-x))
      s+=bit[x];
    return s;
  }
public:
  int n;
  vector<T> bit;
  BIT(int n_):n(n_+1),bit(n_+2,0){}

  // v[i] += a
  void add(int i,T a){
    for(int x=++i;x<=n;x+=(x&-x))
      bit[x]+=a;
  }

  // \sum_{l <= i < r} v[i]
  T query(int l,int r){return sum(r)-sum(l);}

  // min({x | sum(x) >= w})
  int lower_bound(const T w){
    if(w<=0) return 0;
    T r=w;
    int x=0,p=1;
    while(p<n) p<<=1;
    for(int k=p;k>0;k>>=1){
      if(x+k<=n and bit[x+k]<r){
        r-=bit[x+k];
        x+=k;
      }
    }
    x++;
    assert(sum(x-1)<w and sum(x)>=w);
    return x;
  }

  // min({x | sum(x) > w})
  int upper_bound(T w){return lower_bound(w+1);}
};
//END CUT HERE
#ifndef call_from_test
signed main(){
  return 0;
}
#endif
#line 10 "test/yukicoder/5223.test.cpp"
#undef call_from_test

signed main(){
  cin.tie(0);
  ios::sync_with_stdio(0);
  const char newl = '\n';

  int n,q;
  cin>>n>>q;

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

  auto f=[&](int a,int b){return min(a,b);};
  auto g=[&](int a,int b){return a+b;};
  int ti(1e9),ei(0);
  SegmentTree<int, int> seg(f,g,g,ti,ei);
  seg.build(vector<int>(n+2,0));

  BIT<int> bitL(n+2),bitR(n+2);

  using ll = long long;
  ll res=0;
  auto expandL=[&](int i){
    res-=bitL.query(as[i]+1,n+2);
    res-=bitR.query(0,as[i]);
    bitL.add(as[i],-1);
    seg.update(0,as[i],-1);
  };
  auto expandR=[&](int i){
    res-=bitL.query(as[i]+1,n+2);
    res-=bitR.query(0,as[i]);
    bitR.add(as[i],-1);
    seg.update(as[i]+1,n+2,-1);
  };
  auto shrinkL=[&](int i){
    res+=bitL.query(as[i]+1,n+2);
    res+=bitR.query(0,as[i]);
    bitL.add(as[i],+1);
    seg.update(0,as[i],+1);
  };
  auto shrinkR=[&](int i){
    res+=bitL.query(as[i]+1,n+2);
    res+=bitR.query(0,as[i]);
    bitR.add(as[i],+1);
    seg.update(as[i]+1,n+2,+1);
  };

  for(int i=n-1;i>=0;i--){
    res+=bitR.query(0,as[i]);
    bitR.add(as[i],+1);
    seg.update(as[i]+1,n+2,+1);
  }

  Mo mo(n,200,expandL,expandR,shrinkL,shrinkR);

  vector<int> ls,rs;
  for(int i=0;i<q;i++){
    int l,r;
    cin>>l>>r;
    l--;
    ls.emplace_back(l);
    rs.emplace_back(r);
    mo.add(l,r);
  }

  mo.build();
  vector<ll> ans(q,0);
  for(int i=0;i<q;i++){
    int k=mo.process();
    ans[k]=(rs[k]-ls[k])*seg.query(0,n+2)+res;
  }

  for(int i=0;i<q;i++) cout<<ans[i]<<newl;
  return 0;
}

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