data_structure/test/dsl_2_g.test.cpp

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• Last update: 2022-08-25 19:52:54+09:00
• Problem: https://onlinejudge.u-aizu.ac.jp/courses/library/3/DSL/2/DSL_2_G

Depends on

• data_structure/fenwick_tree.hpp
• data_structure/operations.hpp
• data_structure/range_add_range_sum.hpp
• template/template.hpp

Code

#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/3/DSL/2/DSL_2_G"

#define FAST_IO

#include "../../template/template.hpp"
#include "../../data_structure/range_add_range_sum.hpp"

int main() {
    i32 n, q;
    cin >> n >> q;
    RangeAddRangeSum<i64> rr(n);
    REP(i, q) {
        i32 type;
        cin >> type;
        if (type == 0) {
            i32 s, t;
            i64 x;
            cin >> s >> t >> x;
            --s;
            rr.add(s, t, x);
        } else {
            i32 s, t;
            cin >> s >> t;
            --s;
            cout << rr.sum(s, t) << '\n';
        }
    }
}

#line 1 "data_structure/test/dsl_2_g.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/3/DSL/2/DSL_2_G"

#define FAST_IO

#line 1 "template/template.hpp"
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32) (n); ++i)
#define REP3(i, m, n) for (i32 i = (i32) (m); i < (i32) (n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32) (n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)

using namespace std;

using u32 = unsigned int;
using u64 = unsigned long long;
using u128 = __uint128_t;
using i32 = signed int;
using i64 = signed long long;
using i128 = __int128_t;
using f64 = double;
using f80 = long double;

template <typename T>
using Vec = vector<T>;

template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

istream &operator>>(istream &is, i128 &x) {
    i64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, i128 x) {
    os << (i64) x;
    return os;
}
istream &operator>>(istream &is, u128 &x) {
    u64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, u128 x) {
    os << (u64) x;
    return os;
}

[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;
struct SetUpIO {
    SetUpIO() {
#ifdef FAST_IO
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
#endif
        cout << fixed << setprecision(15);
    }
} set_up_io;
#line 2 "data_structure/range_add_range_sum.hpp"

#line 2 "data_structure/fenwick_tree.hpp"

#line 5 "data_structure/fenwick_tree.hpp"

#line 2 "data_structure/operations.hpp"

#include <limits>
#line 5 "data_structure/operations.hpp"

template <typename T>
struct Add {
    using Value = T;
    static Value id() {
        return T(0);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs + rhs;
    }
    static Value inv(const Value &x) {
        return -x;
    }
};

template <typename T>
struct Mul {
    using Value = T;
    static Value id() {
        return Value(1);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs * rhs;
    }
    static Value inv(const Value &x) {
        return Value(1) / x;
    }
};

template <typename T>
struct Min {
    using Value = T;
    static Value id() {
        return std::numeric_limits<T>::max();
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return std::min(lhs, rhs);
    }
};

template <typename T>
struct Max {
    using Value = T;
    static Value id() {
        return std::numeric_limits<Value>::min();
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return std::max(lhs, rhs);
    }
};

template <typename T>
struct Xor {
    using Value = T;
    static Value id() {
        return T(0);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs ^ rhs;
    }
    static Value inv(const Value &x) {
        return x;
    }
};

template <typename Monoid>
struct Reversible {
    using Value = std::pair<typename Monoid::Value, typename Monoid::Value>;
    static Value id() {
        return Value(Monoid::id(), Monoid::id());
    }
    static Value op(const Value &v1, const Value &v2) {
        return Value(
            Monoid::op(v1.first, v2.first),
            Monoid::op(v2.second, v1.second));
    }
};

#line 7 "data_structure/fenwick_tree.hpp"

template <typename CommutativeGroup>
class FenwickTree {
public:
    using Value = typename CommutativeGroup::Value;

private:
    std::vector<Value> data;

public:
    FenwickTree(int n) : data(n, CommutativeGroup::id()) {}

    void add(int idx, const Value &x) {
        assert(idx >= 0 && idx < (int) data.size());
        for (; idx < (int) data.size(); idx |= idx + 1) {
            data[idx] = CommutativeGroup::op(data[idx], x);
        }
    }

    Value sum(int r) const {
        assert(r >= 0 && r <= (int) data.size());
        Value ret = CommutativeGroup::id();
        for (; r > 0; r &= r - 1) {
            ret = CommutativeGroup::op(ret, data[r - 1]);
        }
        return ret;
    }

    Value sum(int l, int r) const {
        assert(l >= 0 && l <= r && r <= (int) data.size());
        return CommutativeGroup::op(sum(r), CommutativeGroup::inv(sum(l)));
    }
};

template <typename T>
using FenwickTreeAdd = FenwickTree<Add<T>>;
#line 4 "data_structure/range_add_range_sum.hpp"

template <typename T>
class RangeAddRangeSum {
    int n;
    FenwickTree<Add<T>> ft0;
    FenwickTree<Add<T>> ft1;
    
public:
    RangeAddRangeSum(int n) : n(n), ft0(n + 1), ft1(n + 1) {}
    
    void add(int l, int r, const T &v) {
        assert(0 <= l && l <= r && r <= n);
        ft0.add(l, v);
        ft0.add(r, -v);
        ft1.add(l, -T(l) * v);
        ft1.add(r, T(r) * v);
    }
    
    T sum(int l, int r) const {
        assert(0 <= l && l <= r && r <= n);
        return T(r) * ft0.sum(r) + ft1.sum(r) - T(l) * ft0.sum(l) - ft1.sum(l);
    }
};
#line 7 "data_structure/test/dsl_2_g.test.cpp"

int main() {
    i32 n, q;
    cin >> n >> q;
    RangeAddRangeSum<i64> rr(n);
    REP(i, q) {
        i32 type;
        cin >> type;
        if (type == 0) {
            i32 s, t;
            i64 x;
            cin >> s >> t >> x;
            --s;
            rr.add(s, t, x);
        } else {
            i32 s, t;
            cin >> s >> t;
            --s;
            cout << rr.sum(s, t) << '\n';
        }
    }
}

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