Submission #681939

# Submission time Handle Problem Language Result Execution time Memory
681939 2023-01-14T22:45:11 Z badont trapezoid (balkan11_trapezoid) C++17
100 / 100
192 ms 64688 KB
#include<bits/stdc++.h>
using namespace std;

void dbg_out() { cout << endl; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cout << ' ' << H; dbg_out(T...); }

#ifdef LOCAL
#define debug(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define debug(...) "zzz"
#endif

using LL = long long;
using LD = long double;
using pii = pair<LL,LL>;

#define FOR(i, n) for(int i = 1; i<=n; i++)
#define F0R(i, n) for(int i = 0; i<n; i++)
#define all(x) x.begin(), x.end()
#define mp make_pair
#define pb push_back
#define f first
#define s second

template<typename T, typename = void> struct is_iterable : false_type {};
template<typename T> struct is_iterable<T, void_t<decltype(begin(declval<T>())),decltype(end(declval<T>()))>> : true_type {};
template<typename T> typename enable_if<is_iterable<T>::value&&!is_same<T, string>::value,ostream&>::type operator<<(ostream &cout, T const &v);
template<typename A, typename B> ostream& operator<<(ostream &cout, pair<A, B> const &p) { return cout << "(" << p.f << ", " << p.s << ")"; }
template<typename T> typename enable_if<is_iterable<T>::value&&!is_same<T, string>::value,ostream&>::type operator<<(ostream &cout, T const &v) {
	cout << "["; 
	for (auto it = v.begin(); it != v.end();) {
		cout << *it;
		if (++it != v.end()) cout << ", ";
	}
	return cout << "]";
}

//var 
LL T;

const int INF = 1e9;
const LL MOD = 30013;
struct mint {
    int x;
    mint() : x(0) {}
    template <class T> mint(T value) : x(value % MOD) { if (x < 0) x += MOD; }
    mint & operator+=(const mint &oth) { x += oth.x; if (x >= MOD) x -= MOD; return *this; }
    mint & operator-=(const mint &oth) { x -= oth.x; if (x < 0) x += MOD; return *this; }
    mint & operator*=(const mint &oth) { x = (long long) x * oth.x % MOD; return *this; }
    friend mint operator+(mint l, const mint &r) { return l += r; }
    friend mint operator-(mint l, const mint &r) { return l -= r; }
    friend mint operator*(mint l, const mint &r) { return l *= r; }
    mint & operator--() { if (--x == -1) x = MOD - 1; return *this; }
    mint & operator++() { if (++x == MOD) x = 0; return *this; }
    mint operator--(int) { mint temp = *this; --*this; return temp; }
    mint operator++(int) { mint temp = *this; ++*this; return temp; }
    mint operator-() const { return 0 - *this; }
    mint operator+() const { return *this; }
    friend bool operator==(const mint &l, const mint &r) { return l.x == r.x; }
    friend bool operator!=(const mint &l, const mint &r) { return l.x != r.x; }
    friend ostream & operator<<(ostream &out, const mint &a) { return out << a.x; }
    mint pow(long long e = MOD - 2) const {
        mint ans = 1, b = *this;
        while (e > 0) {
            if (e % 2 == 1) {
                ans *= b;
            }
            b *= b;
            e /= 2;
        }
        return ans;
    }
};

struct Info {
	int dp;
	mint ways;
	Info(int dp, mint ways) : dp(dp), ways(ways) {}
	Info(int dp) : dp(dp), ways(0) {}
};

Info max(const Info& a, const Info& b) {
	if (a.dp > b.dp) { return a; }
	if (b.dp > a.dp) { return b; }
	return Info(a.dp, a.ways + b.ways);
};
 
template <typename T, int SZ>
struct PST {
    struct Node {
        T val;
        int c[2];
        Node() : val(INF, 0) {
           
            c[0] = c[1] = 0;
        }
    };
    static const int LIM = 3.1e6;
    Node d[LIM];
    int nxt = 0;
    int copy(int t) { d[nxt] = d[t]; nxt++; assert(nxt <= LIM); return nxt - 1;}
    T comb(const T& a, const T& b) { return max(a, b); }
    void pull(int c) { d[c].val = comb(d[d[c].c[0]].val, d[d[c].c[1]].val); }
    T query(int lo, int hi, int t, int l, int r) {
        if (lo >= r || hi <= l) return T(-INF, 0);
        if (lo <= l && r <= hi) return d[t].val;
        int m = (l + r) / 2;
        T lef = query(lo, hi, d[t].c[0], l, m);
        T rig = query(lo, hi, d[t].c[1], m, r);
        return comb(lef, rig);
    }
    int upd(int i, const T& v, int t, int l, int r) {
        int x = copy(t);
        if (r - l == 1) {
            d[x].val = max(d[x].val, v);
            return x;
        }
        int m = (l + r) / 2;
        if (i < m) {
            d[x].c[0] = upd(i, v, d[x].c[0], l, m);
        }else{
            d[x].c[1] = upd(i, v, d[x].c[1], m, r);
        }
        pull(x);
        return x;
    }
    int build(const vector<T>& a, int l, int r) {
        int c = nxt++;
        if (r - l == 1) {
            if (l < (int)a.size()) d[c].val = a[l];
            return c;
        }
        int m = (l + r) / 2;
        d[c].c[0] = build(a, l, m);
        d[c].c[1] = build(a, m, r);
        pull(c);
        return c;
    }
    vector<int> rts;
    void update_time(int i, const T& v) {
		//debug(rts);
        rts.pb(upd(i, v, rts.back(), 0, SZ));
    }
    void build(const vector<T>& a) {
        rts.pb(build(a, 0, SZ));
    }
    T query_time(int ti, int lo, int hi) {
        return query(lo, hi, rts[ti], 0, SZ);
    }
};
PST<Info, 1 << 18> pst;

void solve() {
	int n;
	cin >> n;

	vector<array<int, 4>> a(n);
	for (auto& [x, y, z, d] : a)
		cin >> x >> y >> z >> d;

	vector<LL> a_ricky, b_ricky;
	for (auto [x, y, z, d] : a) {
		a_ricky.pb(x);
		a_ricky.pb(y);
		b_ricky.pb(z);
		b_ricky.pb(d);
	}

	sort(all(a_ricky));
	sort(all(b_ricky));

	a_ricky.erase(unique(all(a_ricky)), a_ricky.end());
	b_ricky.erase(unique(all(b_ricky)), b_ricky.end());

	auto get_a = [&](const int& g) -> LL {
		return lower_bound(all(a_ricky), g) - a_ricky.begin() + 1;
	};
	auto get_b = [&](const int& g) -> LL {
		return lower_bound(all(b_ricky), g) - b_ricky.begin() + 1;
	};

	int A = (int)a_ricky.size();
	int B = (int)b_ricky.size();
	vector sweep(A + 1, vector<array<LL, 3>>());

	for (auto& [x, y, z, d] : a) {
		sweep[get_a(y)].pb({get_a(x), get_b(z), get_b(d)});
	}

	//debug(sweep);
	vector<Info> init(B + 1, Info(-INF, 0)); init[0] = Info(0, 1);
	pst.build(init);
	//vector<node<Info>*> roots = {(tree.build(init))};

	Info ans(-INF, 0);
	vector<int> time_of = {0};
	FOR (i, A) {
		
		for (auto& [l, x, y] : sweep[i]) {
			Info trans = pst.query_time(time_of[l - 1], 0, x);
			Info next = Info(trans.dp + 1, trans.ways);
			ans = max(ans, next);
			Info cur = pst.query_time(pst.rts.size() - 1, y, y + 1);
			if (next.dp >= cur.dp)
				pst.update_time(y, next);
		}
		time_of.pb((int)pst.rts.size() - 1);
	}

	cout << ans.dp << " " << ans.ways << "\n";
}

int main() {
	ios_base::sync_with_stdio(0); 
	cin.tie(0);

	T = 1;
	//cin >> T;
	FOR(t, T)
		solve();

	cout.flush();
	return 0;
}

 
# Verdict Execution time Memory Grader output
1 Correct 24 ms 48804 KB Output is correct
2 Correct 25 ms 48952 KB Output is correct
3 Correct 26 ms 48908 KB Output is correct
4 Correct 27 ms 48980 KB Output is correct
5 Correct 27 ms 49100 KB Output is correct
6 Correct 28 ms 49320 KB Output is correct
7 Correct 30 ms 49384 KB Output is correct
8 Correct 34 ms 49748 KB Output is correct
9 Correct 40 ms 50436 KB Output is correct
10 Correct 51 ms 52032 KB Output is correct
11 Correct 61 ms 52800 KB Output is correct
12 Correct 101 ms 56772 KB Output is correct
13 Correct 151 ms 58216 KB Output is correct
14 Correct 142 ms 60216 KB Output is correct
15 Correct 158 ms 60972 KB Output is correct
16 Correct 171 ms 61796 KB Output is correct
17 Correct 169 ms 62540 KB Output is correct
18 Correct 157 ms 63280 KB Output is correct
19 Correct 174 ms 63944 KB Output is correct
20 Correct 192 ms 64688 KB Output is correct