結果

問題 No.1099 Range Square Sum
ユーザー Imperi_NightImperi_Night
提出日時 2020-06-26 22:11:38
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 200 ms / 2,000 ms
コード長 5,605 bytes
コンパイル時間 1,398 ms
コンパイル使用メモリ 139,268 KB
実行使用メモリ 29,076 KB
最終ジャッジ日時 2023-09-18 05:01:12
合計ジャッジ時間 4,931 ms
ジャッジサーバーID
(参考情報)
judge11 / judge15
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
4,380 KB
testcase_01 AC 2 ms
4,380 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 1 ms
4,376 KB
testcase_04 AC 1 ms
4,376 KB
testcase_05 AC 1 ms
4,376 KB
testcase_06 AC 1 ms
4,380 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 1 ms
4,376 KB
testcase_09 AC 2 ms
4,376 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 2 ms
4,376 KB
testcase_13 AC 3 ms
4,380 KB
testcase_14 AC 3 ms
4,380 KB
testcase_15 AC 2 ms
4,376 KB
testcase_16 AC 2 ms
4,376 KB
testcase_17 AC 3 ms
4,380 KB
testcase_18 AC 2 ms
4,376 KB
testcase_19 AC 2 ms
4,380 KB
testcase_20 AC 3 ms
4,376 KB
testcase_21 AC 200 ms
28,828 KB
testcase_22 AC 195 ms
28,772 KB
testcase_23 AC 199 ms
28,956 KB
testcase_24 AC 197 ms
28,860 KB
testcase_25 AC 193 ms
28,860 KB
testcase_26 AC 141 ms
29,076 KB
testcase_27 AC 140 ms
28,860 KB
testcase_28 AC 140 ms
28,836 KB
testcase_29 AC 140 ms
28,860 KB
testcase_30 AC 141 ms
28,900 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#line 1 "main.cpp"
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cstdint>
#include <cstdlib>
#include <cmath>
#include <complex>
#include <chrono>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <vector>
#include <random>
#include <utility>
#include <limits>
#include <list>
#include <type_traits>

/* template start */
 
#define rep(i, a, b) for (long long i = (a); (i) < (b); (i)++)
#define all(i) i.begin(), i.end()

#ifdef LOCAL
#define debug(...) std::cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

void debug_out(){std::cerr<<std::endl;}

template<typename Head,typename... Tail>
void debug_out(Head h,Tail... t){
  std::cerr<<" "<<h;
  if(sizeof...(t)>0)std::cout<<" :";
  debug_out(t...);
}
 
template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& os, std::pair<T1, T2> pa) {
  return os << pa.first << " " << pa.second;
}
 
template <typename T>
std::ostream& operator<<(std::ostream& os, std::vector<T> vec) {
  for (std::size_t i = 0; i < vec.size(); i++)os << vec[i] << (i + 1 == vec.size() ? "" : " ");
  return os;
}
 
template<typename T1,typename T2>
inline bool chmax(T1& a,T2 b){return a<b && (a=b,true);}
 
template<typename T1,typename T2>
inline bool chmin(T1& a,T2 b){return a>b && (a=b,true);}

template<typename Num>
constexpr Num mypow(Num a, long long b) {
  if(b==0)return 1;
  if (a==0)return 0;
  Num x = 1;
  while (b > 0) {
    if(b & 1)x*=a;
    a*=a;
    b >>= 1;
  }
  return x;
}

/* template end */

using ll = long long;

#line 2 "/mnt/c/Users/Imperi/Documents/cp-library/lib/SegmentTree/LazySegmentTree.hpp"

#line 5 "/mnt/c/Users/Imperi/Documents/cp-library/lib/SegmentTree/LazySegmentTree.hpp"

//Lazy
// type value_t
// type lazy_t
// static value_t id_val
// static value_t id_lazy
// static (value_t,value_t) -> value_t f
// static (value_t,lazy_t) -> value_t g
// static (lazy_t,lazy_t) -> lazy_t h
// static (lazy_t,size_t) -> lazy_t p

/* Lazy template

struct Lazy{
  using value_t= ~~ ;
  using lazy_t= ~~ ;
  static constexpr value_t id_val= ~~ ;
  static constexpr lazy_t id_lazy= ~~ ;
  static value_t f(value_t a,value_t b){
    return ~~ ;
  }
  static value_t g(value_t a,lazy_t b){
    return ~~ ;
  }
  static lazy_t h(lazy_t a,lazy_t b){
    return ~~ ;
  }
  static lazy_t p(lazy_t a,std::size_t n){
    return ~~ ;
  }
};

*/


template<typename Lazy>
class LazySegmentTree{
  public:
  using value_t=typename Lazy::value_t;
  using lazy_t=typename Lazy::lazy_t;
  using size_t=std::size_t;
  private:
  size_t n,n0;
  std::vector<value_t> val;
  std::vector<lazy_t> lazy;

  value_t update(size_t a,size_t b,lazy_t laz,size_t l,size_t r,size_t k){
    if(lazy[k]!=Lazy::id_lazy){
      if(k<n0-1){
        lazy[2*k+1]=Lazy::h(lazy[2*k+1],lazy[k]);
        lazy[2*k+2]=Lazy::h(lazy[2*k+2],lazy[k]);
      }
      val[k]=Lazy::g(val[k],Lazy::p(lazy[k],r-l));
      lazy[k]=Lazy::id_lazy;
    }

    if(r<=a||b<=l)return val[k];
    if(a<=l&&r<=b){
      lazy[k]=Lazy::h(lazy[k],laz);
      return Lazy::g(val[k],Lazy::p(lazy[k],r-l));
    }
    return val[k]=Lazy::f(update(a,b,laz,l,l+(r-l)/2,2*k+1),update(a,b,laz,l+(r-l)/2,r,2*k+2));
  }

  value_t fold(size_t a,size_t b,size_t l,size_t r,size_t k){
    if(lazy[k]!=Lazy::id_lazy){
      if(k<n0-1){
        lazy[2*k+1]=Lazy::h(lazy[2*k+1],lazy[k]);
        lazy[2*k+2]=Lazy::h(lazy[2*k+2],lazy[k]);
      }
      val[k]=Lazy::g(val[k],Lazy::p(lazy[k],r-l));
      lazy[k]=Lazy::id_lazy;
    }

    if(r<=a||b<=l)return Lazy::id_val;
    if(a<=l&&r<=b)return val[k];
    return Lazy::f(fold(a,b,l,l+(r-l)/2,2*k+1),
                   fold(a,b,l+(r-l)/2,r,2*k+2));
  }

  inline size_t beki(size_t n_){
    size_t ret=1;
    while(ret<n_)ret<<=1;
    return ret;
  }

  public:
  LazySegmentTree(size_t n_):n(n_),n0(beki(n)),
                             val(2*n0-1,Lazy::id_val),lazy(2*n0-1,Lazy::id_lazy){}
  
  LazySegmentTree(std::vector<value_t> val_):n(val_.size()),n0(beki(n)),
                             val(2*n0-1,Lazy::id_val),lazy(2*n0-1,Lazy::id_lazy){
    for(size_t i=0;i<n;i++)val[i+n0-1]=val_[i];
    for(long long i=n0-2;i>=0;i--)val[i]=Lazy::f(val[2*i+1],val[2*i+2]);
  }

  void update(size_t a,size_t b,lazy_t laz){
    update(a,b,laz,0,n0,0);
  }

  value_t fold(size_t a,size_t b){
    return fold(a,b,0,n0,0);
  }
};
#line 85 "main.cpp"

struct Sum{
  ll two,one,size;
};

struct Lazy{
  using value_t= Sum;
  using lazy_t= ll ;
  static constexpr value_t id_val= {0,0,1} ;
  static constexpr lazy_t id_lazy= 0 ;
  static value_t f(value_t a,value_t b){
    return  {a.two+b.two,a.one+b.one,a.size+b.size};
  }
  static value_t g(value_t a,lazy_t b){
    return {a.two+2*b*a.one+a.size*b*b,a.one+a.size*b,a.size};
  }
  static lazy_t h(lazy_t a,lazy_t b){
    return a+b ;
  }
  static lazy_t p(lazy_t a,std::size_t n){
    return a;
  }
};

int main() {
  std::cin.tie(nullptr);
  std::ios::sync_with_stdio(false);

  ll n;
  std::cin>>n;

  std::vector<Sum> dat(n);
  rep(i,0,n){
    ll a;
    std::cin>>a;
    dat[i]={a*a,a,1};
  }
  
  LazySegmentTree<Lazy> seg(dat);

  ll q;
  std::cin>>q;

  while(q--){
    ll mode;
    std::cin>>mode;
    if(mode==1){
      ll l,r,x;
      std::cin>>l>>r>>x;
      l--;
      seg.update(l,r,x);
    }else{
      ll l,r;
      std::cin>>l>>r;
      l--;
      std::cout<<seg.fold(l,r).two<<"\n";
    }
  }

  return 0;
}
0