Submission #51874

#TimeUsernameProblemLanguageResultExecution timeMemory
51874someone_aatrapezoid (balkan11_trapezoid)C++17
42 / 100
595 ms36728 KiB
#include <bits/stdc++.h>
#define ll long long
#define mp make_pair
#define pii pair<int,int>
using namespace std;
const int maxn = 100100;
map<int, int> up, down;
int tree[2*4*maxn][2];
int upmax, downmax, n;
int dp[maxn];
int dpways[maxn];

struct trapez {
public:
    int a, b, c, d;
} arr[maxn];

void update(int ux, ll value, ll valueb, int li=0, int ri=downmax, int index=1) {
    if(li==ri) {
        tree[index][0] += value;
        tree[index][1] += valueb;
    }
    else {
        int mid = (li+ri)/2;
        if(ux <= mid) update(ux, value, valueb, li, mid, 2*index);
        else if(ux > mid) update(ux, value, valueb, mid+1, ri, 2*index+1);

        if(tree[2*index][0] == tree[2*index+1][0]) {
            tree[index][0] = tree[2*index][0];
            tree[index][1] = tree[2*index][1] + tree[2*index+1][1];
        }
        else if(tree[2*index][0] > tree[2*index+1][0]) {
            tree[index][0] = tree[2*index][0];
            tree[index][1] = tree[2*index][1];
        }
        else {
            tree[index][0] = tree[2*index+1][0];
            tree[index][1] = tree[2*index+1][1];
        }
    }
}

pii query(int ql, int qr, int li=0, int ri=downmax, int index=1) {
    if(li > qr || ri < ql) return make_pair(0, 0);
    else if(li >= ql && ri <= qr) return make_pair(tree[index][0], tree[index][1]);
    else {
        int mid = (li+ri)/2;
        pii a = query(ql,qr,li,mid,2*index);
        pii b = query(ql,qr,mid+1,ri,2*index+1);

        if(a.first == b.first) return make_pair(a.first, a.second+b.second);
        else if(a.first > b.first) return a;
        else return b;
    }
}

vector<pair<int, bool> > events[2*maxn];

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin>>n;
    for(int i=0;i<n;i++) {
        cin>>arr[i].a>>arr[i].b>>arr[i].c>>arr[i].d;
        up[arr[i].a] = 1;
        up[arr[i].b] = 1;
        down[arr[i].c] = 1;
        down[arr[i].d] = 1;
    }

    upmax = downmax = 1;
    for(auto i:up) {
        up[i.first] = upmax++;
    }
    for(auto i:down) {
        down[i.first] = downmax++;
    }

    for(int i=0;i<n;i++) {
        arr[i].a = up[arr[i].a];
        arr[i].b = up[arr[i].b];
        arr[i].c = down[arr[i].c];
        arr[i].d = down[arr[i].d];

        events[arr[i].a].push_back(make_pair(i, true));
        events[arr[i].b].push_back(make_pair(i, false));
    }

    update(0,0,1);
    for(int i=1;i<=upmax;i++) {
        for(auto j:events[i]) {
            if(j.second) {
                pii temp = query(0, arr[j.first].c);
                dp[j.first] = temp.first + 1;
                dpways[j.first] = temp.second;
            }
            else update(arr[j.first].d, dp[j.first], dpways[j.first]);
        }
    }

    int result = 0;
    int ways = 0;
    for(int i=0;i<n;i++) {
        if(dp[i] > result) {
            result = dp[i];
            ways = dpways[i];
        }
        else if(dp[i] == result) ways += dpways[i];
    }
    cout<<result<<" "<<ways<<"\n";
    return 0;
}
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