Submission #269753

# Submission time Handle Problem Language Result Execution time Memory
269753 2020-08-17T09:38:27 Z toxic_hack trapezoid (balkan11_trapezoid) C++14
100 / 100
386 ms 53880 KB
#include<bits/stdc++.h>

typedef long long ll;
typedef long double lld;
using namespace std;

#define endl "\n"
#define fi first
#define se second
#define MEMS(a,b) memset(a,b,sizeof(a))
#define _ ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define __ freopen("input.txt","r",stdin);freopen("output.txt","w",stdout);
#define all(c) c.begin(),c.end()
#define pii pair<int, int>

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l, int r)
{
	uniform_int_distribution<int> uid(l, r);
	return uid(rng);
}

#define tr(...) cout<<__FUNCTION__<<' '<<__LINE__<<" = ";trace(#__VA_ARGS__, __VA_ARGS__)
template<typename S, typename T>
ostream& operator<<(ostream& out,pair<S,T> const& p){out<<'('<<p.fi<<", "<<p.se<<')';return out;}

template<typename T>
ostream& operator<<(ostream& out,vector<T> const& v){
ll l=v.size();for(ll i=0;i<l-1;i++)out<<v[i]<<' ';if(l>0)out<<v[l-1];return out;}

template <typename T>
ostream &operator<<(ostream &out, set<T> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << (*i) << ' ';
    return out;
}
template <typename T>
ostream &operator<<(ostream &out, multiset<T> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << (*i) << ' ';
    return out;
}
template <typename T, typename V>
ostream &operator<<(ostream &out, map<T, V> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << "\n" << (i->first) <<  ":"  << (i->second);
    return out;
}

template<typename T>
void trace(const char* name, T&& arg1){cout<<name<<" : "<<arg1<<endl;}

template<typename T, typename... Args>
void trace(const char* names, T&& arg1, Args&&... args){
const char* comma = strchr(names + 1, ',');cout.write(names, comma-names)<<" : "<<arg1<<" | ";trace(comma+1,args...);}

#define int ll

const int N = 2e5 + 10;

const int MOD = 30013;

int n;
map<int, int> comp;

struct tra {
    int a, b, c, d, ind;
};

vector<tra> trap;
struct node {
    int mx, cnt;
    node() {
        mx = 0;
        cnt = 0;
    }
};


node t[4*N];

node combine(node a, node b) {
    node ans;
    if (a.mx == b.mx) {
        ans.mx = a.mx;
        ans.cnt = (0LL + a.cnt + b.cnt) % MOD;
    } else if (a.mx > b.mx) {
        ans = a;
    } else {
        ans = b;
    }
    return ans;
}

node query(int v, int tl, int tr, int l, int r) {
    if (l > r)
        return node();
    if (l == tl && r == tr)
        return t[v];
    int tm = (tl + tr) / 2;
    return combine(query(v*2, tl, tm, l, min(r, tm)), 
                   query(v*2+1, tm+1, tr, max(l, tm+1), r));
}

void update(int v, int tl, int tr, int pos, node new_val) {
    if (tl == tr) {
        t[v] = combine(new_val, t[v]);
    } else {
        int tm = (tl + tr) / 2;
        if (pos <= tm)
            update(v*2, tl, tm, pos, new_val);
        else
            update(v*2+1, tm+1, tr, pos, new_val);
        t[v] = combine(t[v*2], t[v*2+1]);
    }
}

node dp[N];

int solve() {
    cin >> n;
    for (int i = 0; i < n; i++) {
        int a, b, c, d;
        cin >> a >> b >> c >> d;
        trap.push_back({a, b, c, d, i});
        comp[c]; comp[d];
    }
    
    int curr = 1;
    for (auto &i : comp) {
        i.se = curr;
        curr++;
    }

    for (auto &i : trap) {
        // i.a = comp[i.a];
        // i.b = comp[i.b];
        i.c = comp[i.c];
        i.d = comp[i.d];
    }

    sort(all(trap), [](tra a, tra b) -> bool {
        return a.a < b.a;
    });

    map<int, pair<tra, int>> event;

    for (auto i : trap) {
        event[i.a].fi = i;
        event[i.a].se = 1;
    }

    int ans1 = 0, ans2 = 0;

    for (auto ind : event) {
        int i = ind.fi;
        if (event[i].se == 1) {
            auto t = event[i].fi;

            dp[ind.se.fi.ind] = query(1, 1, curr, 1, t.c);
            dp[ind.se.fi.ind].mx++;

            if (dp[ind.se.fi.ind].mx == 1) {
                dp[ind.se.fi.ind].cnt++;
            }

            event[t.b] = {t, 2};
            if (dp[ind.se.fi.ind].mx > ans1) {
                ans1 = dp[ind.se.fi.ind].mx;
                ans2 = dp[ind.se.fi.ind].cnt;
            } else if (dp[ind.se.fi.ind].mx == ans1) {
                ans2 = (0LL + ans2 + dp[ind.se.fi.ind].cnt) % MOD;
            }
        }

        if (event[i].se == 2) {
            auto t = event[i].fi;
            update(1, 1, curr, t.d, dp[t.ind]);
        }   
    }

    cout << ans1 << " " << ans2 << endl;


    return 0;
    
}

int32_t main(){ _
    int t;
    // cin >> t;
    t = 1;
    while (t--) solve();
    return EXIT_SUCCESS;	
}
# Verdict Execution time Memory Grader output
1 Correct 9 ms 16000 KB Output is correct
2 Correct 10 ms 16000 KB Output is correct
3 Correct 10 ms 16128 KB Output is correct
4 Correct 11 ms 16384 KB Output is correct
5 Correct 14 ms 16640 KB Output is correct
6 Correct 17 ms 17024 KB Output is correct
7 Correct 20 ms 17408 KB Output is correct
8 Correct 24 ms 17756 KB Output is correct
9 Correct 40 ms 19472 KB Output is correct
10 Correct 70 ms 23048 KB Output is correct
11 Correct 87 ms 24840 KB Output is correct
12 Correct 191 ms 33708 KB Output is correct
13 Correct 236 ms 37124 KB Output is correct
14 Correct 277 ms 40652 KB Output is correct
15 Correct 302 ms 42360 KB Output is correct
16 Correct 333 ms 44232 KB Output is correct
17 Correct 332 ms 47700 KB Output is correct
18 Correct 344 ms 47740 KB Output is correct
19 Correct 373 ms 52064 KB Output is correct
20 Correct 386 ms 53880 KB Output is correct