Submission #634365

#	Time	Username	Problem	Language	Result	Execution time	Memory
634365		Forested	Arcade (NOI20_arcade)	C++17	85 / 100	1091 ms	25624 KiB

Arcade

#ifndef LOCAL
#define FAST_IO
#endif

// ===== 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;
// ===== template.hpp =====

#ifdef DEBUGF
#include "cpl/template/debug.hpp"
#else
#define DBG(x) (void) 0
#endif

class RMaxQ {
    i32 n;
    Vec<i32> node;
    
public:
    RMaxQ(i32 n) : n(n), node(2 * n, 0) {}
    
    void update_max(i32 idx, i32 val) {
        idx += n;
        while (idx > 0) {
            chmax(node[idx], val);
            idx /= 2;
        }
    }
    
    i32 range_max(i32 l, i32 r) const {
        l += n;
        r += n;
        i32 ans = 0;
        while (l < r) {
            if (l % 2 == 1) {
                chmax(ans, node[l++]);
            }
            if (r % 2 == 1) {
                chmax(ans, node[--r]);
            }
            l /= 2;
            r /= 2;
        }
        return ans;
    }
};

i32 position(const Vec<i32> &xs, i32 x) {
    return (i32) (lower_bound(ALL(xs), x) - xs.begin());
}

int main() {
    i32 n, m;
    cin >> n >> m;
    Vec<i32> t(m), a(m);
    REP(i, m) {
        cin >> t[i];
    }
    REP(i, m) {
        cin >> a[i];
    }
    
    Vec<pair<i32, i32>> evs(m);
    REP(i, m) {
        evs[i].first = a[i];
        evs[i].second = t[i];
    }
    sort(ALL(evs));
    
    Vec<i32> dp(m, 0);
    const auto rec = [&](const auto &rec, i32 l, i32 r) -> void {
        DBG(l);
        DBG(r);
        DBG(dp);
        if (r - l == 1) {
            ++dp[l];
            return;
        }
        i32 mid = (l + r) / 2;
        rec(rec, l, mid);
        
        Vec<i32> xs, ys;
        xs.reserve(r - l);
        ys.reserve(r - l);
        REP(i, l, r) {
            xs.push_back(evs[i].second - evs[i].first);
            ys.push_back(evs[i].second);
        }
        sort(ALL(xs));
        xs.erase(unique(ALL(xs)), xs.end());
        sort(ALL(ys));
        ys.erase(unique(ALL(ys)), ys.end());
        
        Vec<Vec<pair<i32, i32>>> upd(xs.size());
        Vec<Vec<i32>> queries(xs.size());
        REP(i, l, mid) {
            upd[position(xs, evs[i].second - evs[i].first)].emplace_back(position(ys, evs[i].second), dp[i]);
        }
        REP(i, mid, r) {
            queries[position(xs, evs[i].second - evs[i].first)].emplace_back(i);
        }
        
        RMaxQ seg(ys.size());
        PER(i, xs.size()) {
            for (auto j : queries[i]) {
                i32 y = position(ys, evs[j].second);
                chmax(dp[j], seg.range_max(0, y + 1));
            }
            for (auto [p, c] : upd[i]) {
                seg.update_max(p, c);
            }
        }
        
        xs.clear();
        REP(i, l, r) {
            xs.push_back(evs[i].first + evs[i].second);
        }
        sort(ALL(xs));
        xs.erase(unique(ALL(xs)), xs.end());
        
        upd = Vec<Vec<pair<i32, i32>>>(xs.size());
        queries = Vec<Vec<i32>>(xs.size());
        REP(i, l, mid) {
            upd[position(xs, evs[i].first + evs[i].second)].emplace_back(position(ys, evs[i].second), dp[i]);
        }
        REP(i, mid, r) {
            queries[position(xs, evs[i].first + evs[i].second)].push_back(i);
        }
        
        seg = RMaxQ(ys.size());
        REP(i, xs.size()) {
            for (i32 j : queries[i]) {
                i32 y = position(ys, evs[j].second);
                chmax(dp[j], seg.range_max(y + 1, (i32) ys.size()));
            }
            for (auto [p, c] : upd[i]) {
                seg.update_max(p, c);
            }
        }
        
        rec(rec, mid, r);
    };
    rec(rec, 0, m);
    cout << *max_element(ALL(dp)) << '\n';
    DBG(dp);
    DBG(evs);
}

• Subtask 1: 7 / 7
• Subtask 2: 11 / 11
• Subtask 3: 12 / 12
• Subtask 4: 21 / 21
• Subtask 5: 14 / 14
• Subtask 6: 20 / 20
• Subtask 7: 0 / 15