結果

問題 No.1099 Range Square Sum
ユーザー satashunsatashun
提出日時 2023-08-08 23:32:43
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 155 ms / 2,000 ms
コード長 10,089 bytes
コンパイル時間 2,878 ms
コンパイル使用メモリ 206,944 KB
実行使用メモリ 25,564 KB
最終ジャッジ日時 2024-04-26 15:40:47
合計ジャッジ時間 5,780 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
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 1 ms
6,812 KB
testcase_01 AC 2 ms
6,944 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 1 ms
6,944 KB
testcase_08 AC 2 ms
6,948 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 2 ms
6,940 KB
testcase_11 AC 2 ms
6,944 KB
testcase_12 AC 3 ms
6,940 KB
testcase_13 AC 3 ms
6,944 KB
testcase_14 AC 2 ms
6,940 KB
testcase_15 AC 3 ms
6,940 KB
testcase_16 AC 3 ms
6,944 KB
testcase_17 AC 3 ms
6,940 KB
testcase_18 AC 2 ms
6,944 KB
testcase_19 AC 3 ms
6,944 KB
testcase_20 AC 3 ms
6,944 KB
testcase_21 AC 152 ms
24,736 KB
testcase_22 AC 153 ms
25,380 KB
testcase_23 AC 152 ms
24,576 KB
testcase_24 AC 152 ms
24,564 KB
testcase_25 AC 155 ms
24,496 KB
testcase_26 AC 116 ms
24,636 KB
testcase_27 AC 116 ms
25,564 KB
testcase_28 AC 114 ms
24,516 KB
testcase_29 AC 117 ms
24,592 KB
testcase_30 AC 116 ms
25,224 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 # 

#pragma region satashun
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
template <class T>
using V = vector<T>;
template <class T>
using VV = V<V<T>>;

template <class T>
V<T> make_vec(size_t a) {
    return V<T>(a);
}

template <class T, class... Ts>
auto make_vec(size_t a, Ts... ts) {
    return V<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}

template <typename T, typename V>
void fill_vec(T& v, const V& val) {
    v = val;
}

template <typename T, typename V>
void fill_vec(vector<T>& vec, const V& val) {
    for (auto& v : vec) fill_vec(v, val);
}

#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fi first
#define se second
#define rep(i, n) rep2(i, 0, n)
#define rep2(i, m, n) for (int i = m; i < (n); i++)
#define per(i, b) per2(i, 0, b)
#define per2(i, a, b) for (int i = int(b) - 1; i >= int(a); i--)
#define ALL(c) (c).begin(), (c).end()
#define SZ(x) ((int)(x).size())

constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n - 1); }

template <class T, class U>
void chmin(T& t, const U& u) {
    if (t > u) t = u;
}
template <class T, class U>
void chmax(T& t, const U& u) {
    if (t < u) t = u;
}

template <typename T>
int arglb(const V<T>& v, const T& x) {
    return distance(v.begin(), lower_bound(ALL(v), x));
}

template <typename T>
int argub(const V<T>& v, const T& x) {
    return distance(v.begin(), upper_bound(ALL(v), x));
}

template <class T>
void mkuni(vector<T>& v) {
    sort(ALL(v));
    v.erase(unique(ALL(v)), end(v));
}

template <class T>
vector<int> sort_by(const vector<T>& v, bool increasing = true) {
    vector<int> res(v.size());
    iota(res.begin(), res.end(), 0);

    if (increasing) {
        stable_sort(res.begin(), res.end(),
                    [&](int i, int j) { return v[i] < v[j]; });
    } else {
        stable_sort(res.begin(), res.end(),
                    [&](int i, int j) { return v[i] > v[j]; });
    }
    return res;
}

// prototype
template <class T, class U>
ostream& operator<<(ostream& os, const pair<T, U>& p);

template <class T>
ostream& operator<<(ostream& os, const vector<T>& v);

template <class T>
istream& operator>>(istream& is, vector<T>& v);

template <class T, size_t sz>
ostream& operator<<(ostream& os, const array<T, sz>& arr);

template <class T>
ostream& operator<<(ostream& os, const set<T>& ST);

template <class T>
ostream& operator<<(ostream& os, const multiset<T>& ST);

template <class T, class U>
ostream& operator<<(ostream& os, const map<T, U>& MP);

ostream& operator<<(ostream& o, __int128_t x);

// io functions
template <class T, class U>
istream& operator>>(istream& is, pair<T, U>& p) {
    is >> p.first >> p.second;
    return is;
}

template <class T, class U>
ostream& operator<<(ostream& os, const pair<T, U>& p) {
    os << "(" << p.first << "," << p.second << ")";
    return os;
}

template <class T>
istream& operator>>(istream& is, vector<T>& v) {
    for (auto& x : v) {
        is >> x;
    }
    return is;
}

template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "{";
    rep(i, v.size()) {
        if (i) os << ",";
        os << v[i];
    }
    os << "}";
    return os;
}

template <class T, size_t sz>
ostream& operator<<(ostream& os, const array<T, sz>& arr) {
    os << '[';
    for (auto v : arr) os << v << ',';
    os << ']';
    return os;
}

template <class T>
ostream& operator<<(ostream& os, const set<T>& ST) {
    os << "{";
    for (auto it = ST.begin(); it != ST.end(); ++it) {
        if (it != ST.begin()) os << ",";
        os << *it;
    }
    os << "}";
    return os;
}

template <class T>
ostream& operator<<(ostream& os, const multiset<T>& ST) {
    os << "{";
    for (auto it = ST.begin(); it != ST.end(); ++it) {
        if (it != ST.begin()) os << ",";
        os << *it;
    }
    os << "}";
    return os;
}

template <class T, class U>
ostream& operator<<(ostream& os, const map<T, U>& MP) {
    for (auto it = MP.begin(); it != MP.end(); ++it) {
        os << "(" << it->first << ": " << it->second << ")";
    }
    return os;
}

string to_string(__int128_t x) {
    if (x == 0) return "0";
    string result;
    if (x < 0) {
        result += "-";
        x *= -1;
    }
    string t;
    while (x) {
        t.push_back('0' + x % 10);
        x /= 10;
    }
    reverse(t.begin(), t.end());
    return result + t;
}

ostream& operator<<(ostream& o, __int128_t x) { return o << to_string(x); }

#ifdef LOCAL
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << " " << H;
    debug_out(T...);
}
#define debug(...) \
    cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif

template <class T>
V<T>& operator+=(V<T>& vec, const T& v) {
    for (auto& x : vec) x += v;
    return vec;
}

template <class T>
V<T>& operator-=(V<T>& vec, const T& v) {
    for (auto& x : vec) x -= v;
    return vec;
}

// suc : 1 = newline, 2 = space
template <class T>
void print(T x, int suc = 1) {
    cout << x;
    if (suc == 1)
        cout << "\n";
    else if (suc == 2)
        cout << " ";
}

template <class T>
void print(const vector<T>& v, int suc = 1) {
    for (int i = 0; i < v.size(); ++i)
        print(v[i], i == int(v.size()) - 1 ? suc : 2);
}

template <class T>
void show(T x) {
    print(x, 1);
}

template <typename Head, typename... Tail>
void show(Head H, Tail... T) {
    print(H, 2);
    show(T...);
}

int topbit(int t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int botbit(int a) { return a == 0 ? 32 : __builtin_ctz(a); }
int botbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); }
int popcount(int t) { return __builtin_popcount(t); }
int popcount(ll t) { return __builtin_popcountll(t); }
int bit_parity(int t) { return __builtin_parity(t); }
int bit_parity(ll t) { return __builtin_parityll(t); }

struct prepare_io {
    prepare_io() {
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(10);
    }
} prep_io;
#pragma endregion satashun

// index of root = 1
// T1 : array value type
// T2 : action type

template <class U>
struct segtree {
    using T1 = typename U::T1;
    using T2 = typename U::T2;
    int sz, H;

    V<T1> a;
    V<T2> b;

    segtree() { sz = H = -1; }
    segtree(int n) {
        sz = 1, H = 0;
        while (sz < n) {
            sz *= 2, ++H;
        }
        a.assign(sz * 2, U::id1());
        b.assign(sz * 2, U::id2());
    }

    segtree(const V<T1>& vec) {
        int n = vec.size();
        sz = 1, H = 0;
        while (sz < n) {
            sz *= 2, ++H;
        }

        a.assign(sz * 2, U::id1());
        b.assign(sz * 2, U::id2());

        for (int i = 0; i < n; ++i) {
            a[sz + i] = vec[i];
        }
        for (int i = sz - 1; i >= 1; --i) {
            a[i] = U::op11(a[(i << 1) | 0], a[(i << 1) | 1]);
        }
    }

    inline T1 reflect(int k) {
        return b[k] == U::id2() ? a[k] : U::op21(b[k], a[k]);
    }

    void up(int i) {
        while (i >>= 1) {
            a[i] = U::op11(reflect((i << 1) | 0), reflect((i << 1) | 1));
        }
    }

    void propagate(int p) {
        for (int h = H; h > 0; --h) {
            int i = p >> h;
            a[i] = reflect(i);
            b[i << 1 | 0] = U::op22(b[i], b[i << 1 | 0]);
            b[i << 1 | 1] = U::op22(b[i], b[i << 1 | 1]);
            b[i] = U::id2();
        }
    }

    void set(int p, T1 x) {
        p += sz;
        propagate(p);
        a[p] = x;
        b[p] = U::id2();
        up(p);
    }

    T1 get(int p) {
        p += sz;
        propagate(p);
        return reflect(p);
    }

    // action on [p, q)
    void apply(int p, int q, T2 x) {
        if (p >= q) return;
        p += sz, q += sz;
        propagate(p);
        propagate(q - 1);

        for (int l = p, r = q; l < r; l >>= 1, r >>= 1) {
            if (l & 1) b[l] = U::op22(x, b[l]), l++;
            if (r & 1) --r, b[r] = U::op22(x, b[r]);
        }
        up(p);
        up(q - 1);
    }

    T1 get(int l, int r) {
        if (l >= r) return U::id1();
        l += sz, r += sz;
        propagate(l);
        propagate(r - 1);

        T1 lval = U::id1(), rval = U::id1();

        for (; l < r; l >>= 1, r >>= 1) {
            if (l & 1) lval = U::op11(lval, reflect(l++));
            if (r & 1) rval = U::op11(reflect(--r), rval);
        }
        return U::op11(lval, rval);
    }
};

array<ll, 3> emp;

struct U {
    // number of 1, all
    using T1 = array<ll, 3>;
    using T2 = ll;
    static T1 id1() { return emp; }
    static T2 id2() { return 0ll; }
    static T1 op11(const T1& a, const T1& b) {
        T1 res;
        res[0] = a[0] + b[0];
        res[1] = a[1] + b[1];
        res[2] = a[2] + b[2];
        return res;
    }

    static T1 op21(const T2& b, const T1& a) {
        T1 res;
        res[0] = a[0];
        res[1] = a[1] + b * a[0];
        res[2] = a[2] + 2 * b * a[1] + b * b * a[0];
        return res;
    }

    // a : new!
    static T2 op22(const T2& a, const T2& b) { return a + b; }
};

void slv() {
    // input
    int N;
    cin >> N;
    V<array<ll, 3>> vec;
    rep(i, N) {
        ll x;
        cin >> x;
        array<ll, 3> a;
        a[0] = 1;
        a[1] = x;
        a[2] = x * x;
        vec.pb(a);
    }

    segtree<U> seg(vec);
    // solve

    int Q;
    cin >> Q;
    while (Q--) {
        int t, l, r;
        cin >> t >> l >> r;
        --l;
        if (t == 1) {
            ll x;
            cin >> x;
            seg.apply(l, r, x);
        } else {
            auto res = seg.get(l, r);
            show(res[2]);
        }
    }
}

int main() {
    int cases = 1;
    // cin >> cases;
    rep(i, cases) slv();

    return 0;
}
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