結果

問題 No.1099 Range Square Sum
ユーザー hitonanodehitonanode
提出日時 2020-06-26 21:48:28
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 259 ms / 2,000 ms
コード長 6,804 bytes
コンパイル時間 2,384 ms
コンパイル使用メモリ 212,152 KB
実行使用メモリ 24,448 KB
最終ジャッジ日時 2024-07-04 20:37:40
合計ジャッジ時間 6,049 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
このコードへのチャレンジ
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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 1 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 1 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 2 ms
5,376 KB
testcase_12 AC 3 ms
5,376 KB
testcase_13 AC 3 ms
5,376 KB
testcase_14 AC 3 ms
5,376 KB
testcase_15 AC 3 ms
5,376 KB
testcase_16 AC 3 ms
5,376 KB
testcase_17 AC 3 ms
5,376 KB
testcase_18 AC 3 ms
5,376 KB
testcase_19 AC 3 ms
5,376 KB
testcase_20 AC 3 ms
5,376 KB
testcase_21 AC 259 ms
24,320 KB
testcase_22 AC 236 ms
24,192 KB
testcase_23 AC 228 ms
24,192 KB
testcase_24 AC 228 ms
24,320 KB
testcase_25 AC 231 ms
24,320 KB
testcase_26 AC 189 ms
24,320 KB
testcase_27 AC 188 ms
24,192 KB
testcase_28 AC 187 ms
24,448 KB
testcase_29 AC 193 ms
24,320 KB
testcase_30 AC 182 ms
24,320 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 # 

#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); }
template <typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); }
template <typename V, typename T> void ndfill(V &x, const T &val) { x = val; }
template <typename V, typename T> void ndfill(vector<V> &vec, const T &val) { for (auto &v : vec) ndfill(v, val); }
template <typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template <typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> srtunq(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << "(" << pa.first << "," << pa.second << ")"; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl;

template <typename VAL, typename DVAL>
struct LazySegTree
{
    int N;
    int head;

    vector<VAL> val;
    vector<DVAL> dval;
    VAL I_val;
    DVAL I_dval;

    using vv2v = function<VAL(const VAL&, const VAL&)>;
    using d2d = function<void(DVAL&, const DVAL&)>;
    using d2v = function<void(VAL&, const DVAL&)>;
    vv2v merge_val;
    d2d add_dval;
    d2v refl_dval;

    LazySegTree() = default;
    LazySegTree(const vector<VAL> &val_init, VAL val_default, DVAL dval_default,
                vv2v f, d2d dadd, d2v dreflect)
        : N(val_init.size()), I_val(val_default), I_dval(dval_default),
          merge_val(f),
          add_dval(dadd),
          refl_dval(dreflect)
    {
        int N_tmp = 1;
        while (N_tmp < N) N_tmp <<= 1;
        val = vector<VAL>(N_tmp*2, I_val);
        dval = vector<DVAL>(N_tmp*2, I_dval);
        head = N_tmp - 1;
        for (int i=0; i<N; i++) val[head+i] = val_init[i];
        for (int pos=head-1; pos>=0; pos--) val[pos] = merge_val(val[pos*2+1], val[pos*2+2]);
    }

    void resolve_dval(int pos, int l, int r) { // posで遅延を解消して子孫に押し付ける
        refl_dval(val[pos], dval[pos]);
        if (pos < head)
        {
            add_dval(dval[pos*2+1], dval[pos]);
            add_dval(dval[pos*2+2], dval[pos]);
        }
        dval[pos] = I_dval;
    }

    void update(int begin, int end, DVAL dval_q) { update(begin, end, dval_q, 0, 0, head+1); }
    void update(int begin, int end, DVAL dval_q, int pos, int l, int r)
    {
        // 後でリファクタリング
        if (begin <= l && r <= end) { // 担当区間全部使う
            add_dval(dval[pos], dval_q);
            resolve_dval(pos, l, r);
        }
        else if (begin < r && l < end) { // 少なくともどこかで交差
            resolve_dval(pos, l, r);
            update(begin, end, dval_q, pos*2+1, l, (l+r)/2);
            update(begin, end, dval_q, pos*2+2, (l+r)/2, r);
            val[pos] = merge_val(val[pos*2+1], val[pos*2+2]);
        }
        else resolve_dval(pos, l, r);
    }

    VAL getvalue(int begin, int end) { return getvalue(begin, end, 0, 0, head+1); }
    VAL getvalue(int begin, int end, int pos, int l, int r)
    {
        resolve_dval(pos, l, r);
        if (begin <= l && r <= end) return val[pos];
        else if (begin<r && l<end) {
            VAL vl = getvalue(begin, end, pos*2+1, l, (l+r)/2);
            VAL vr = getvalue(begin, end, pos*2+2, (l+r)/2, r);
            val[pos] = merge_val(val[pos*2+1], val[pos*2+2]);
            return merge_val(vl, vr);
        }
        else return I_val;
    }
};

struct P
{
    lint s1, s2;
    int sz;
    P() = default;
    P(lint s1, lint s2, int sz) : s1(s1), s2(s2), sz(sz) {}
};

int main()
{
    int N;
    cin >> N;
    vector<P> v(N);
    REP(i, N)
    {
        lint a;
        cin >> a;
        v[i] = P(a, a * a, 1);
    }
    LazySegTree<P, lint> st(
        v,
        P(0, 0, 0),
        lint(0),
        [](P a, P b) { a.s1 += b.s1, a.s2 += b.s2, a.sz += b.sz; return a; },
        [](lint &a, lint b) { a += b; },
        [](P &a, lint b) { a.s2 += 2 * a.s1 * b + a.sz * b * b; a.s1 += a.sz * b; });

    int Q;
    cin >> Q;
    while (Q--)
    {
        int q, l, r;
        cin >> q >> l >> r;
        l--;
        if (q == 1)
        {
            int x;
            cin >> x;
            st.update(l, r, x);
        }
        else
        {
            cout << st.getvalue(l, r).s2 << '\n';
        }
    }
}
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