Submission #1025061

#TimeUsernameProblemLanguageResultExecution timeMemory
1025061Alihan_8Garden (JOI23_garden)C++17
0 / 100
2083 ms24660 KiB
#include <bits/stdc++.h>

using namespace std;

#define all(x) x.begin(), x.end()
#define ar array
#define pb push_back
#define ln '\n'
#define int long long

using i64 = long long;

template <class F, class _S>
bool chmin(F &u, const _S &v){
    bool flag = false;
    if ( u > v ){
        u = v; flag |= true;
    }
    return flag;
}

template <class F, class _S>
bool chmax(F &u, const _S &v){
    bool flag = false;
    if ( u < v ){
        u = v; flag |= true;
    }
    return flag;
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, m, d; cin >> n >> m >> d;

    vector <int> P(n), Q(n), R(m), S(m);

    for ( int i = 0; i < n; i++ ){
        cin >> P[i] >> Q[i];
    }

    for ( int i = 0; i < m; i++ ){
        cin >> R[i] >> S[i];
    }

    { // sorting
        vector <int> p_(m);

        iota(all(p_), 0);

        sort(all(p_), [&](int &u, int &v){
             return R[u] < R[v];
        });

        auto _R = R, _S = S;

        for ( int i = 0; i < m; i++ ){
            R[i] = _R[p_[i]];
            S[i] = _S[p_[i]];
        }

        p_ = vector <int> (n);

        iota(all(p_), 0);

        sort(all(p_), [&](int &u, int &v){
             return P[u] < P[v];
        });

        auto _P = P, _Q = Q;

        for ( int i = 0; i < n; i++ ){
            P[i] = _P[p_[i]];
            Q[i] = _Q[p_[i]];
        }
    }
    
    vector <int> v(d * 2, -1), has(d * 2), tv(d * 2, -1);
    
	vector <vector<int>> er(d * 2);
	
    for ( int i = 0; i < n; i++ ){
		chmax(tv[Q[i]], P[i]);
		
		has[Q[i]] = true;
	}
    
    for ( int i = 0; i < m; i++ ){
		chmax(v[S[i]], R[i]);
		
		has[S[i]] = true;
	}
	
	for ( int i = 0; i < d * 2; i++ ){
		if ( v[i] != -1 ){
			er[v[i]].pb(i);
		}
	}

    int opt = 1e9, mx = *max_element(all(P)), _ip = 0, _ir = 0;

    for ( int l = 0; l < d; l++ ){
        while ( _ip < n && P[_ip] < l ){
            chmax(mx, P[_ip] + d);
            
            chmax(tv[Q[_ip]], P[_ip] + d);

            _ip++;
        }
        
        while ( _ir < m && R[_ir] < l ){
			auto flag = chmax(v[S[_ir]], R[_ir] + d);
			
			if ( flag > 0 ){
				er[R[_ir] + d].pb(S[_ir]);
			}
			
			_ir++;
		}
		
		set <int> st;
		
		vector <int> lf(d * 2, -1), rg(d * 2, -1);
		
		for ( int i = 1; i < d * 2; i++ ){
			if ( has[i - 1] > 0 ){
				lf[i] = i - 1;
			} else{
				lf[i] = lf[i - 1];
			}
		}
		
		for ( int i = (d - 1) * 2; i >= 0; i-- ){
			if ( has[i + 1] ){
				rg[i] = i + 1;
			} else{
				rg[i] = rg[i + 1];
			}
		}
		
		int maxDiff = 0;
		
		for ( int i = 0; i < d * 2; i++ ){
			if ( has[i] > 0 ){
				st.insert(i);
				
				if ( rg[i] != -1 ){
					chmax(maxDiff, rg[i] - i);
				}
			}
		}
		
		auto del = [&](int x){
			st.erase(x);
			
			if ( lf[x] != -1 ){
				rg[lf[x]] = rg[x];
			}
			if ( rg[x] != -1 ){
				lf[rg[x]] = lf[x];
			}
			
			if ( lf[x] != -1 && rg[x] != -1 ){
				chmax(maxDiff, rg[x] - lf[x]);
			}
		};	
		
		for ( int r = l; r <= l + d; r++ ){
			for ( auto &y: er[r] ){
				if ( v[y] > tv[y] ){
					del(y);
				}
			}
			
			if ( r >= mx ){
				chmin(opt, (r - l + 1) * min(*st.rbegin() - *st.begin() + 1, d - maxDiff + 1));
			}
		}
    }

    cout << opt;

    cout << '\n';
}
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