제출 #1035825

#제출 시각아이디문제언어결과실행 시간메모리
1035825Alihan_8전선 연결 (IOI17_wiring)C++17
100 / 100
54 ms10948 KiB
#include "wiring.h"

#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;
}

const i64 inf = 1e15;

long long min_total_length(std::vector<int> r, std::vector<int> b) {
	int n = r.size(), m = b.size();
	
	vector <ar<int,2>> a;
	
	for ( int i = 0; i < n; i++ ){
		a.pb({r[i], 0});
	}
	
	for ( int i = 0; i < m; i++ ){
		a.pb({b[i], 1});
	}
	
	sort(all(a));
	
	vector <vector<int>> rng;
	
	int lst = -1;
	
	for ( auto &[x, t]: a ){
		if ( t == lst ){
			rng.back().pb(x);
		} else{
			rng.pb({x});
			
			lst = t;
		}
	}
	
	int k = rng.size();
	
	auto sz = [&](int j){ return (int)rng[j].size(); }; 
	
	vector <i64> dp(sz(0) + 1, inf);
	
	dp[0] = 0;
	
	for ( int i = 1; i < k; i++ ){
		vector <i64> nxt(sz(i) + 1, inf);
		
		auto &tmp = rng[i];
		
		int r = dp.size(), len = tmp[0] - rng[i - 1].back();
		
		vector <i64> f(r, inf);
		
		i64 qt = 0;
		
		for ( int j = r - 1; j >= 0; j-- ){
			f[j] = dp[j] + qt;
			
			if ( j > 0 ){
				qt += (rng[i - 1].back() - rng[i - 1][j - 1]);
			}
		} 
		
		vector <i64> pf(r + 1, inf), sf(r + 1, inf);
		
		for ( int j = r - 1; j >= 0; j-- ){
			sf[j] = min(sf[j + 1], f[j]);
		}
		
		for ( int j = 0; j < r; j++ ){
			if ( j > 0 ){
				pf[j] = pf[j - 1];
			}
			
			chmin(pf[j], f[j] + (r - j - 1) * 1LL * len);
		}
		
		i64 cnt = 0; --r;
		
		for ( int k = 0; k <= sz(i); k++ ){
			chmin(nxt[k], cnt + k * 1LL * len + sf[max(0, r - k)]);
			
			if ( r >= k ){			
				chmin(nxt[k], cnt + pf[r - k]);
			}
			
			if ( k < sz(i) ){
				cnt += (tmp[k] - tmp[0]);
			}
		}
		
		swap(dp, nxt);
	}
	
	return dp.back();
}
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