結果

問題 No.1099 Range Square Sum
ユーザー 👑 tute7627
提出日時 2020-06-26 21:59:35
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 859 ms / 2,000 ms
コード長 6,197 bytes
コンパイル時間 2,270 ms
コンパイル使用メモリ 210,992 KB
最終ジャッジ日時 2025-01-11 11:25:49
ジャッジサーバーID
(参考情報)
judge4 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1
other AC * 30
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 #
プレゼンテーションモードにする

//#define _GLIBCXX_DEBUG
#include<bits/stdc++.h>
using namespace std;
#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a) (a).begin(),(a).end()
#define ALLR(a) (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
template<typename T1, typename T2>
bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>
bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>
void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}
template<typename T>
void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++)
{cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++)
{for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>
void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];
for(ll i=1;i<n;i++)cout spa v[i];cout<<endl;};
template<typename T>
vector<vector<T>>vec(ll x, ll y, T w){
vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};
vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>
vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>
auto make_v(size_t a,Ts... ts){
return vector<decltype(make_v(ts...))>(a,make_v(ts...));
}
template<typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2>&p){
return os << p.first << " " << p.second;
}
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
template< typename Monoid, typename OperatorMonoid,typename F, typename G, typename H>
struct LazySegmentTree {
ll sz, height, n;
vector< Monoid > data;
vector< OperatorMonoid > lazy;
const F f;
const G g;
const H h;
Monoid M1;
OperatorMonoid OM0;
LazySegmentTree(ll n, const F &f,const G &g, const H &h, Monoid M1, OperatorMonoid OM0):n(n),f(f),g(g),h(h),M1(M1),OM0(OM0){
sz = 1;
height = 0;
while(sz < n) sz <<= 1, height++;
data.assign(2 * sz, M1);
lazy.assign(2 * sz, OM0);
}
void set(ll k, const Monoid &x) {
data[k + sz] = x;
}
void build() {
for(ll k = sz - 1; k > 0; k--) {
data[k] = f(data[2 * k + 0], data[2 * k + 1]);
}
}
inline void propagate(ll k) {
if(lazy[k] != OM0) {
lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]);
lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]);
data[k] = reflect(k);
lazy[k] = OM0;
}
}
inline Monoid reflect(ll k) {
return lazy[k] == OM0 ? data[k] : g(data[k], lazy[k]);
}
inline void recalc(ll k) {
while(k >>= 1) data[k] = f(reflect(2 * k + 0), reflect(2 * k + 1));
}
inline void thrust(ll k) {
for(ll i = height; i > 0; i--) propagate(k >> i);
}
void update(ll a, ll b, const OperatorMonoid &x) {
if(a>=b)return;
thrust(a += sz);
thrust(b += sz - 1);
for(ll l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
if(l & 1) lazy[l] = h(lazy[l], x), ++l;
if(r & 1) --r, lazy[r] = h(lazy[r], x);
}
recalc(a);
recalc(b);
}
Monoid query(ll a, ll b) {
thrust(a += sz);
thrust(b += sz - 1);
Monoid L = M1, R = M1;
for(ll l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
if(l & 1) L = f(L, reflect(l++));
if(r & 1) R = f(reflect(--r), R);
}
return f(L, R);
}
Monoid operator[](const ll &k) {
return query(k, k + 1);
}
template< typename C >
ll find_subtree(ll a, const C &check, Monoid &M, bool type) {
while(a < sz) {
propagate(a);
Monoid nxt = type ? f(reflect(2 * a + type), M) : f(M, reflect(2 * a + type));
if(check(nxt)) a = 2 * a + type;
else M = nxt, a = 2 * a + 1 - type;
}
return a - sz;
}
template< typename C >
ll find_first(ll a, const C &check) {
Monoid L = M1;
if(a <= 0) {
if(check(f(L, reflect(1)))) return find_subtree(1, check, L, false);
return -1;
}
thrust(a + sz);
ll b = sz;
for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
if(a & 1) {
Monoid nxt = f(L, reflect(a));
if(check(nxt)) return find_subtree(a, check, L, false);
L = nxt;
++a;
}
}
return -1;
}
template< typename C >
ll find_last(ll b, const C &check) {
Monoid R = M1;
if(b >= sz) {
if(check(f(reflect(1), R))) return find_subtree(1, check, R, true);
return -1;
}
thrust(b + sz - 1);
ll a = sz;
for(b += sz; a < b; a >>= 1, b >>= 1) {
if(b & 1) {
Monoid nxt = f(reflect(--b), R);
if(check(nxt)) return find_subtree(b, check, R, true);
R = nxt;
}
}
return -1;
}
void print(){
for(ll i=0;i<n;i++)if((*this)[i]==M1)cout<<"x|";else cout<<(*this)[i]<<"|";
cout<<endl;
}
};
int main(){
cin.tie(nullptr);
ios_base::sync_with_stdio(false);
ll res=0,buf=0;
bool judge = true;
using P=vector<ll>;
auto f=[&](P x,P y){
return P({x[0]+y[0],x[1]+y[1],x[2]+y[2]});
};
auto g=[&](P x,ll y){
return P({x[0]+2*x[1]*y+y*y*x[2],x[1]+x[2]*y,x[2]});
};
auto h=[&](ll x,ll y){
return x+y;
};
ll n;cin>>n;
LazySegmentTree seg(n,f,g,h,P({0,0,0}),0);
vector<ll>a(n);
rep(i,0,n){
cin>>a[i];
seg.set(i,P({a[i]*a[i],a[i],1}));
}
seg.build();
ll q;cin>>q;
while(q--){
ll t;cin>>t;
if(t==1){
ll l,r,x;cin>>l>>r>>x;l--;
seg.update(l,r,x);
}
else{
ll l,r;cin>>l>>r;l--;
cout<<seg.query(l,r)[0]<<endl;
}
//rep(i,0,n){auto p=seg[i];debug(p,3);}cout<<endl;
}
return 0;
}
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