Submission #681938

# Submission time Handle Problem Language Result Execution time Memory
681938 2023-01-14T22:43:54 Z badont trapezoid (balkan11_trapezoid) C++17
72 / 100
181 ms 64724 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 << 17> 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 23 ms 48716 KB Output is correct
2 Correct 24 ms 48852 KB Output is correct
3 Correct 25 ms 48852 KB Output is correct
4 Correct 29 ms 49016 KB Output is correct
5 Correct 28 ms 49120 KB Output is correct
6 Correct 28 ms 49304 KB Output is correct
7 Correct 29 ms 49492 KB Output is correct
8 Correct 31 ms 49620 KB Output is correct
9 Correct 38 ms 50452 KB Output is correct
10 Correct 51 ms 52096 KB Output is correct
11 Correct 60 ms 52804 KB Output is correct
12 Correct 106 ms 56784 KB Output is correct
13 Correct 122 ms 58296 KB Output is correct
14 Incorrect 137 ms 60272 KB Output isn't correct
15 Partially correct 153 ms 60960 KB Partially correct
16 Incorrect 168 ms 61772 KB Output isn't correct
17 Incorrect 164 ms 62452 KB Output isn't correct
18 Correct 152 ms 63256 KB Output is correct
19 Incorrect 167 ms 63920 KB Output isn't correct
20 Incorrect 181 ms 64724 KB Output isn't correct