結果

問題 No.2697 Range LIS Query
ユーザー dyktr_06dyktr_06
提出日時 2024-03-22 23:19:35
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,825 ms / 10,000 ms
コード長 10,459 bytes
コンパイル時間 5,162 ms
コンパイル使用メモリ 273,788 KB
実行使用メモリ 64,456 KB
最終ジャッジ日時 2024-09-30 12:38:59
合計ジャッジ時間 23,642 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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ファイルパターン 結果
sample AC * 3
other AC * 15
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()))
#define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end()))

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 <class S,
    S(*op)(S, S),
    S(*e)(),
    class F,
    S(*mapping)(F, S),
    F(*composition)(F, F),
    F(*id)()>
struct LazySegTree{
private:
    int _n, size, log;
    vector<S> d;
    vector<F> lz;

    void pull(int k){ d[k] = op(d[2 * k], d[2 * k + 1]); }
    void all_apply(int k, F f){
        d[k] = mapping(f, d[k]);
        if(k < size) lz[k] = composition(f, lz[k]);
    }
    void push(int k){
        all_apply(2 * k, lz[k]);
        all_apply(2 * k + 1, lz[k]);
        lz[k] = id();
    }

public:
    LazySegTree() : LazySegTree(0){}
    LazySegTree(int n) : LazySegTree(vector<S>(n, e())){}
    LazySegTree(const vector<S>& v) : _n(int(v.size())){
        log = 0;
        size = 1;
        while(size < _n) size <<= 1, log++;
        d = vector<S>(2 * size, e());
        lz = vector<F>(size, id());
        for(int i = 0; i < _n; i++) d[size + i] = v[i];
        for(int i = size - 1; i >= 1; i--){
            pull(i);
        }
    }

    void update(int p, S x){
        assert(0 <= p && p < _n);
        p += size;
        for(int i = log; i >= 1; i--) push(p >> i);
        d[p] = x;
        for(int i = 1; i <= log; i++) pull(p >> i);
    }

    S get(int p){
        assert(0 <= p && p < _n);
        p += size;
        for(int i = log; i >= 1; i--) push(p >> i);
        return d[p];
    }

    S query(int l, int r){
        assert(0 <= l && l <= r && r <= _n);
        if(l == r) return e();

        l += size;
        r += size;

        for(int i = log; i >= 1; i--){
            if(((l >> i) << i) != l) push(l >> i);
            if(((r >> i) << i) != r) push(r >> i);
        }

        S sml = e(), smr = e();
        while(l < r){
            if(l & 1) sml = op(sml, d[l++]);
            if(r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }

        return op(sml, smr);
    }

    S all_query(){ return d[1]; }

    void apply(int p, F f){
        assert(0 <= p && p < _n);
        p += size;
        for(int i = log; i >= 1; i--) push(p >> i);
        d[p] = mapping(f, d[p]);
        for(int i = 1; i <= log; i++) pull(p >> i);
    }
    void apply(int l, int r, F f){
        assert(0 <= l && l <= r && r <= _n);
        if(l == r) return;

        l += size;
        r += size;

        for(int i = log; i >= 1; i--){
            if(((l >> i) << i) != l) push(l >> i);
            if(((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while(l < r){
                if(l & 1) all_apply(l++, f);
                if(r & 1) all_apply(--r, f);
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }

        for(int i = 1; i <= log; i++){
            if(((l >> i) << i) != l) pull(l >> i);
            if(((r >> i) << i) != r) pull((r - 1) >> i);
        }
    }

    template <bool (*g)(S)>
    int max_right(int l){
        return max_right(l, [](S x){ return g(x); });
    }
    template <class G>
    int max_right(int l, G g){
        assert(0 <= l && l <= _n);
        assert(g(e()));
        if(l == _n) return _n;
        l += size;
        for(int i = log; i >= 1; i--) push(l >> i);
        S sm = e();
        do{
            while(l % 2 == 0) l >>= 1;
            if(!g(op(sm, d[l]))){
                while(l < size){
                    push(l);
                    l = (2 * l);
                    if(g(op(sm, d[l]))){
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while((l & -l) != l);
        return _n;
    }

    template <bool (*g)(S)>
    int min_left(int r){
        return min_left(r, [](S x){ return g(x); });
    }
    template <class G>
    int min_left(int r, G g){
        assert(0 <= r && r <= _n);
        assert(g(e()));
        if(r == 0) return 0;
        r += size;
        for(int i = log; i >= 1; i--) push((r - 1) >> i);
        S sm = e();
        do{
            r--;
            while(r > 1 && (r % 2)) r >>= 1;
            if(!g(op(d[r], sm))){
                while(r < size){
                    push(r);
                    r = (2 * r + 1);
                    if(g(op(d[r], sm))){
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while((r & -r) != r);
        return 0;
    }
};

using S = vll;

using F = ll;

ll idx(ll l, ll r){
    return 4 * l + r;
}

S op(S l, S r){
    S res(17);
    rep(i, 4){
        rep(j, i, 4){
            rep(k, i, j + 1){
                chmax(res[idx(i, j)], l[idx(i, k)] + r[idx(k, j)]);
                if(i + 1 <= k){
                    chmax(res[idx(i, j)], l[idx(i, k - 1)] + r[idx(k, j)]);
                }
            }
        }
    };
    res[16] = l[16] + r[16];
    return res;
}

S e(){
    S res(17);
    return res;
}

S mapping(F l, S r){
    if(l == -1){
        return r;
    }
    S res(17);
    rep(i, 4) rep(j, i, 4){
        if(i <= l && l <= j){
            res[idx(i, j)] = r[16];
        }
    }
    // res[idx(l, l)] = r[16];
    res[16] = r[16];
    return res;
}

F composition(F l, F r){
	if(l == -1){
		return r;
	}
	return l;
}

F id(){ return -1; }

void input(){
}

void solve(){
    ll n; in(n);
    vll a; vin(a, n);
    rep(i, n) a[i]--;
    LazySegTree<S, op, e, F, mapping, composition, id> seg(n);
    rep(k, n){
        S e(17);
        rep(i, 4) rep(j, i, 4){
            if(i <= a[k] && a[k] <= j){
                e[idx(i, j)] = 1;
            }
        }
        // out(e);
        // e[idx(a[i], a[i])] = 1;
        e[16] = 1;
        seg.update(k, e);
    }
    ll q; in(q);
    while(q--){
        ll t; in(t);
        if(t == 1){
            ll l, r; in(l, r);
            l--;
            ll ans = 0;
            S res = seg.query(l, r);
            // out(res);
            rep(i, 4) rep(j, i, 4){
                chmax(ans, res[idx(i, j)]);
            }
            out(ans);
        }else{
            ll l, r, x; in(l, r, x);
            l--; x--;
            seg.apply(l, r, x);
        }
    }
}

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