結果

問題 No.878 Range High-Element Query
ユーザー dyktr_06dyktr_06
提出日時 2023-04-08 20:19:42
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 376 ms / 2,000 ms
コード長 8,517 bytes
コンパイル時間 5,235 ms
コンパイル使用メモリ 276,016 KB
実行使用メモリ 28,976 KB
最終ジャッジ日時 2024-04-14 16:49:01
合計ジャッジ時間 9,302 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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
6,816 KB
testcase_01 AC 3 ms
6,944 KB
testcase_02 AC 3 ms
6,944 KB
testcase_03 AC 3 ms
6,944 KB
testcase_04 AC 3 ms
6,944 KB
testcase_05 AC 3 ms
6,940 KB
testcase_06 AC 2 ms
6,944 KB
testcase_07 AC 2 ms
6,944 KB
testcase_08 AC 3 ms
6,940 KB
testcase_09 AC 3 ms
6,940 KB
testcase_10 AC 2 ms
6,944 KB
testcase_11 AC 337 ms
23,816 KB
testcase_12 AC 269 ms
25,860 KB
testcase_13 AC 254 ms
19,404 KB
testcase_14 AC 191 ms
16,596 KB
testcase_15 AC 262 ms
24,440 KB
testcase_16 AC 353 ms
28,216 KB
testcase_17 AC 373 ms
28,976 KB
testcase_18 AC 376 ms
28,824 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>
#include <atcoder/all>

using namespace std;
using namespace atcoder;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) a.begin(), a.end()
#define Sort(a) sort(a.begin(), a.end())
#define RSort(a) sort(a.rbegin(), a.rend())

typedef long long int ll;
typedef unsigned long long ul;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef vector<long double> vld;
typedef pair<long long, long long> P;

template<class T> long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T& a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T& a){ return *max_element(a.begin(), a.end()); }

const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double EPS = 1e-9;
const long double PI = acos(-1);
 
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }

template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }

template <typename X>
struct SegTree{
    using FX = function<X(X, X)>; // X•X -> X となる関数の型
    int n;
    FX fx;
    const X ex;
    vector<X> dat;

    SegTree(int n_, FX fx_, X ex_) : n(), fx(fx_), ex(ex_), dat(n_ * 4, ex_){
        int x = 1;
        while(n_ > x){
            x *= 2;
        }
        n = x;
    }

    X get(int i){
        return dat[i + n - 1];
    }
    
    void set(int i, X x){ dat[i + n - 1] = x; }

    void build(){
        for(int k = n - 2; k >= 0; k--) dat[k] = fx(dat[2 * k + 1], dat[2 * k + 2]);
    }

    void update(int i, X x){
        i += n - 1;
        dat[i] = x;
        while(i > 0){
            i = (i - 1) / 2;  // parent
            dat[i] = fx(dat[i * 2 + 1], dat[i * 2 + 2]);
        }
    }

    X query(int a, int b){ return query_sub(a, b, 0, 0, n); }

    X query_sub(int a, int b, int k, int l, int r){
        if(r <= a || b <= l){
            return ex;
        }else if(a <= l && r <= b){
            return dat[k];
        }else{
            X vl = query_sub(a, b, k * 2 + 1, l, (l + r) / 2);
            X vr = query_sub(a, b, k * 2 + 2, (l + r) / 2, r);
            return fx(vl, vr);
        }
    }
};

template <typename S, typename T>
struct RangeTree{
    struct BinaryIndexedTree{
        int N;
        vector<T> BIT;
        BinaryIndexedTree() {}

        void init(int size){
            N = size;
            BIT.assign(N + 1, 0);
        }

        T get(int i){
            return sum(i + 1) - sum(i);
        }

        void add(int i, T x){
            ++i;
            while(i <= N){
                BIT[i] += x;
                i += i & -i;
            }
        }

        T sum(int i) const {
            T ans = 0;
            while(i > 0){
                ans += BIT[i];
                i -= i & -i;
            }
            return ans;
        }

        T sum(int L, int R) const {
            return sum(R) - sum(L);
        }
    };

    using P = pair<S, S>;
    S N, M;
    vector<BinaryIndexedTree> bit;
    vector<vector<S>> ys;
    vector<P> ps;

    RangeTree() {}

    void add_point(S x, S y){
        ps.push_back(make_pair(x, y));
    }

    void build(){
        sort(ps.begin(), ps.end());
        ps.erase(unique(ps.begin(), ps.end()), ps.end());

        N = ps.size();
        bit.resize(N + 1);
        ys.resize(N + 1);
        for(int i = 0; i <= N; ++i){
            int j = i + 1;
            while(j <= N){
                ys[j].push_back(ps[i].second);
                j += j & -j;
            }

            sort(ys[i].begin(), ys[i].end());
            ys[i].erase(unique(ys[i].begin(), ys[i].end()), ys[i].end());
            bit[i].init(ys[i].size());
        }
    }

    int id(S x) const {
        auto f = [](const P& a, const P& b){
            return a.first < b.first;
        };
        return lower_bound(ps.begin(), ps.end(), make_pair(x, S()), f) - ps.begin();
    }

    int id(int i, S y) const {
        return lower_bound(ys[i].begin(), ys[i].end(), y) - ys[i].begin();
    }

    void add(S x, S y, T a){
        int i = lower_bound(ps.begin(), ps.end(), make_pair(x, y)) - ps.begin();
        assert(ps[i] == make_pair(x, y));
        ++i;
        while(i <= N){
            bit[i].add(id(i, y), a);
            i += i & -i;
        }
    }

    T sum(S x, S y) const {
        T ret = T();
        int a = id(x);
        while(a > 0){
            ret += bit[a].sum(id(a, y));
            a -= a & -a;
        }
        return ret;
    }

    T sum(S xl, S yl, S xr, S yr) const {
        T ret = T();
        int a = id(xl), b = id(xr);
        while(a != b) {
            if(a < b){
                ret += bit[b].sum(id(b, yl), id(b, yr));
                b -= b & -b;
            }else{
                ret -= bit[a].sum(id(a, yl), id(a, yr));
                a -= a & -a;
            }
        }
        return ret;
    }
};

ll n, q;
vll a;

void input(){
    in(n, q);
    vin(a, n);
}
 
void solve(){
    rep(i, n) a[i]--;
    auto fx = [](ll x1, ll x2) -> ll { return max(x1, x2); };
    SegTree<ll> seg(n, fx, -1);
    RangeTree<ll, ll> rt;
    vll mx(n);
    rep(i, n){
        mx[i] = seg.query(a[i] + 1, n);
        rt.add_point(i, mx[i]);
        seg.update(a[i], i);
    }
    rt.build();
    rep(i, n){
        rt.add(i, mx[i], 1);
    }
    while(q--){
        ll t, l, r; in(t, l, r); l--;
        out(rt.sum(l, -1, r, l));
    }
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);
    
    input();
    solve();
}
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