結果

問題 No.1099 Range Square Sum
ユーザー masayoshi361masayoshi361
提出日時 2020-06-27 19:03:52
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 354 ms / 2,000 ms
コード長 7,607 bytes
コンパイル時間 2,178 ms
コンパイル使用メモリ 188,884 KB
実行使用メモリ 6,528 KB
最終ジャッジ日時 2024-07-05 19:29:39
合計ジャッジ時間 7,361 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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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 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 1 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 4 ms
5,376 KB
testcase_12 AC 4 ms
5,376 KB
testcase_13 AC 4 ms
5,376 KB
testcase_14 AC 4 ms
5,376 KB
testcase_15 AC 4 ms
5,376 KB
testcase_16 AC 4 ms
5,376 KB
testcase_17 AC 3 ms
5,376 KB
testcase_18 AC 4 ms
5,376 KB
testcase_19 AC 4 ms
5,376 KB
testcase_20 AC 4 ms
5,376 KB
testcase_21 AC 337 ms
6,400 KB
testcase_22 AC 343 ms
6,528 KB
testcase_23 AC 354 ms
6,400 KB
testcase_24 AC 346 ms
6,400 KB
testcase_25 AC 350 ms
6,400 KB
testcase_26 AC 329 ms
6,528 KB
testcase_27 AC 328 ms
6,400 KB
testcase_28 AC 328 ms
6,272 KB
testcase_29 AC 319 ms
6,400 KB
testcase_30 AC 326 ms
6,400 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 # 

//header
#ifdef LOCAL
    #include "cxx-prettyprint-master/prettyprint.hpp"
    #define debug(x) cout << x << endl
#else
    #define debug(...) 42
#endif
    #pragma GCC optimize("Ofast")
    #include <bits/stdc++.h>
    //types
    using namespace std;
    using ll = long long;
    using ul = unsigned long long;
    using ld = long double;
    typedef pair < ll , ll > Pl;        
    typedef pair < int, int > Pi;
    typedef vector<ll> vl;
    typedef vector<int> vi;
    template< typename T >
    using mat = vector< vector< T > >;
    template< int mod >
    struct modint {
        int x;

        modint() : x(0) {}

        modint(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

        modint &operator+=(const modint &p) {
            if((x += p.x) >= mod) x -= mod;
            return *this;
        }

        modint &operator-=(const modint &p) {
            if((x += mod - p.x) >= mod) x -= mod;
            return *this;
        }

        modint &operator*=(const modint &p) {
            x = (int) (1LL * x * p.x % mod);
            return *this;
        }

        modint &operator/=(const modint &p) {
            *this *= p.inverse();
            return *this;
        }

        modint operator-() const { return modint(-x); }

        modint operator+(const modint &p) const { return modint(*this) += p; }

        modint operator-(const modint &p) const { return modint(*this) -= p; }

        modint operator*(const modint &p) const { return modint(*this) *= p; }

        modint operator/(const modint &p) const { return modint(*this) /= p; }

        bool operator==(const modint &p) const { return x == p.x; }

        bool operator!=(const modint &p) const { return x != p.x; }

        modint inverse() const {
            int a = x, b = mod, u = 1, v = 0, t;
            while(b > 0) {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
            }
            return modint(u);
        }

        modint pow(int64_t n) const {
            modint ret(1), mul(x);
            while(n > 0) {
            if(n & 1) ret *= mul;
            mul *= mul;
            n >>= 1;
            }
            return ret;
        }

        friend ostream &operator<<(ostream &os, const modint &p) {
            return os << p.x;
        }

        friend istream &operator>>(istream &is, modint &a) {
            int64_t t;
            is >> t;
            a = modint< mod >(t);
            return (is);
        }

        static int get_mod() { return mod; }
    };
    //abreviations
    #define all(x) (x).begin(), (x).end()
    #define rall(x) (x).rbegin(), (x).rend()
    #define rep_(i, a_, b_, a, b, ...) for (int i = (a), max_i = (b); i < max_i; i++)
    #define rep(i, ...) rep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
    #define rrep_(i, a_, b_, a, b, ...) for (int i = (b-1), min_i = (a); i >= min_i; i--)
    #define rrep(i, ...) rrep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
    #define SZ(x) ((int)(x).size())
    #define pb(x) push_back(x)
    #define eb(x) emplace_back(x)
    #define mp make_pair
    #define print(x) cout << x << endl
    #define vsum(x) accumulate(x, 0LL)
    #define vmax(a) *max_element(all(a))
    #define vmin(a) *min_element(all(a))
    #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
    #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
    //functions
    ll gcd(ll a, ll b) { return b ? gcd(b, a%b) : a; }
    ll lcm(ll a, ll b) { return a/gcd(a, b)*b;}
    template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
    template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
    template< typename T >
    T mypow(T x, ll n) {
        T ret = 1;
        while(n > 0) {
            if(n & 1) (ret *= x);
            (x *= x);
            n >>= 1;
        }
        return ret;
    }
    ll modpow(ll x, ll n, const ll mod) {
        ll ret = 1;
        while(n > 0) {
            if(n & 1) (ret *= x);
            (x *= x);
            n >>= 1;
            x%=mod;
            ret%=mod;
        }
        return ret;
    }
    uint64_t my_rand(void) {
        static uint64_t x = 88172645463325252ULL;
        x = x ^ (x << 13); x = x ^ (x >> 7);
        return x = x ^ (x << 17);
    }
    //graph template
    template< typename T >
    struct edge {
        int src, to;
        T cost;

        edge(int to, T cost) : src(-1), to(to), cost(cost) {}

        edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}

        edge &operator=(const int &x) {
            to = x;
            return *this;
        }
        operator int() const { return to; }
    };
    template< typename T >
    using Edges = vector< edge< T > >;
    template< typename T >
    using WeightedGraph = vector< Edges< T > >;
    using UnWeightedGraph = vector< vector< int > >;

//constant
//#define inf 1000000005LL
#define inf 4000000000000000005LL
#define mod 1000000007LL
#define endl '\n'
typedef modint<mod> mint;
const long double eps = 0.0001;
const long double PI  = 3.141592653589793;
//library
template< typename T >
struct SqrtDecomposition{
    //change sqrtN with 1 for debug
    const ll sqrtN = 512;
    int N, K;
    //write here
    vector<T> data;
    vector<T> bucket;
    vector<T> bucket2;
    vector<T> lazy;
    SqrtDecomposition(int n) : N(n){
        K = (N+sqrtN-1)/sqrtN;
        data.assign(K*sqrtN, 0);
        bucket.assign(K, 0);
        bucket2.assign(K, 0);
        lazy.assign(K, 0);
    }

    void update(int x, int y, T v){
        //if x, y is located in the same bucket.
        if(x/sqrtN==y/sqrtN){
            propagate(x/sqrtN);
            rep(i, x, y){
                bucket2[x/sqrtN]+=v*data[i]*2+v*v;
                data[i]+=v;
                bucket[x/sqrtN]+=v;
            }
            return;
        }
        int l = (x+sqrtN-1)/sqrtN;
        int r = y/sqrtN;
        //left
        if(l>0)propagate(l-1);
        rep(i, x, l*sqrtN){
            bucket2[l-1]+=v*data[i]*2+v*v;
            data[i]+=v;
            bucket[l-1]+=v;
        }
        //center
        rep(i, l, r){
            bucket2[i]+=bucket[i]*v*2+v*v*sqrtN;
            bucket[i]+=v*sqrtN;
            lazy[i]+=v;
        }
        //right
        propagate(r);
        rep(i, r*sqrtN, y){
            bucket2[r]+=v*data[i]*2+v*v;
            data[i]+=v;
            bucket[r]+=v;
        }
    }
    
    void propagate(int a){
        if(lazy[a]==0)return;
        rep(i, a*sqrtN, (a+1)*sqrtN){
            data[i]+=lazy[a];
        }
        lazy[a] = 0;
    }
    
    T query(int x, int y){
        T res = 0;
        if(x/sqrtN==y/sqrtN){
            propagate(x/sqrtN);
            rep(i, x, y){
                res+=data[i]*data[i];
            }
            return res;
        }
        int l = (x+sqrtN-1)/sqrtN;
        int r = y/sqrtN;
        if(l>0)propagate(l-1);
        rep(i, x, l*sqrtN){
            res+=data[i]*data[i];
        }
        rep(i, l, r){
            res+=bucket2[i];
        }
        propagate(r);
        rep(i, r*sqrtN, y){
            res+=data[i]*data[i];
        }
        return res;
    }
};
int main(){
    int n; cin>>n;
    vl a(n);
    rep(i, n)cin>>a[i];
    SqrtDecomposition<ll> sd(n);
    rep(i, n){
        sd.update(i, i+1, a[i]);
    }
    int q; cin>>q;
    rep(_, q){
        int t;
        cin>>t;
        if(t==1){
            ll l, r, v; cin>>l>>r>>v;
            l--;
            sd.update(l, r, v);
        }else{
            int l, r; cin>>l>>r;l--;
            print(sd.query(l, r));
        }
    }
}
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