Submission #123630

# Submission time Handle Problem Language Result Execution time Memory
123630 2019-07-01T20:00:19 Z egorlifar Palembang Bridges (APIO15_bridge) C++17
22 / 100
138 ms 21524 KB
/*
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 */
#include <iostream>
#include <complex>
#include <vector>
#include <string>
#include <algorithm>
#include <cstdio>
#include <numeric>
#include <cstring>
#include <ctime>
#include <cstdlib>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <cmath>
#include <bitset>
#include <cassert>
#include <queue>
#include <stack>
#include <deque>
    
     
using namespace std;
template<typename T1, typename T2>inline void chkmin(T1 &x, T2 y) { if (x > y) x = y; }
template<typename T1, typename T2>inline void chkmax(T1 &x, T2 y) { if (x < y) x = y; } 
#define sz(c) (int)(c).size()
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define left left228
#define right right228
#define next next228
#define rank rank228
#define prev prev228
#define y1 y1228                                                         
#define read(FILENAME) freopen((FILENAME + ".in").c_str(), "r", stdin)
#define write(FILENAME) freopen((FILENAME + ".out").c_str(), "w", stdout)
#define files(FILENAME) read(FILENAME), write(FILENAME)
#define pb push_back
const string FILENAME = "input";
const int MAXN = 200228;


int n, k;
int l[MAXN], r[MAXN];
vector<int> fb[MAXN];
vector<int> fe[MAXN];
long long score[MAXN];
vector<int> vx;
int where[MAXN];
vector<pair<int, int> > st;
int ft = 0;
set<pair<int, int> > fi, fj;
int cnti = 0;
int cntj = 0;
long long sumi = 0;
long long sumj = 0;


void addi(int id) {
	fi.insert({r[id], id});
	sumi += r[id];
	cnti++;
}


void addj(int id) {
	fj.insert({l[id], id});
	sumj += l[id];
	cntj++;
}


void deli(int id) {
	if (fi.find({r[id], id}) != fi.end()) {
		cnti--;
		sumi -= r[id];
		fi.erase({r[id], id});
	}
}


void updi(int x) {
	while (!fi.empty()) {
		auto y = *fi.rbegin();
		if (y.first >= x) {
			fi.erase(y);
			cnti--;
			sumi -= y.first;
		} else {
			break;
		}
	}
}


void updj(int x) {
	while (!fj.empty()) {
		auto y = *fj.begin();
		if (y.first <= x) {
			fj.erase(y);
			cntj--;
			sumj -= y.first;
		} else {
			break;
		}
	}
}



void recalc(int i, int j) {
	i = vx[i];
	j = vx[j];
	while (ft < sz(st) && st[ft].first < i + j) {
		deli(st[ft].second);
		addj(st[ft].second);
		ft++;
	}
	updi(i);
	updj(j);
}


long long geti(int x) {
	return 1LL * x * cnti - sumi;
}


long long getj(int x) {
	return -1LL * x * cntj + sumj;
}


long long getres(int i, int j) {
	long long add = geti(vx[i]) + getj(vx[j]);
	return add;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	//read(FILENAME);
	cin >> k >> n;
	long long ans = 0;
	int uk = 0;
	for (int i = 0; i < n; i++) {
		char c, c1;
		int x, x1;
		cin >> c >> x >> c1 >> x1;
		if (c == c1) {
			ans += abs(x1 - x);
			continue;
		}
		if (x > x1) {
			swap(x, x1);
		}
		ans += x1 - x + 1;
		l[uk] = x;
		r[uk] = x1;
		uk++;
	}
	n = uk;
	for (int i = 0; i < n; i++) {
		vx.pb(l[i]);
		vx.pb(r[i]);
	}
	vx.pb(0);
	sort(all(vx));
	vx.resize(distance(vx.begin(), unique(all(vx))));
	for (int i = 0; i < n; i++) {
		l[i] = lower_bound(all(vx), l[i]) - vx.begin();
		r[i] = lower_bound(all(vx), r[i]) - vx.begin();
	}
	if (k == 1) {
		for (int i = 0; i < n; i++) {
			fb[l[i]].pb(i);
			fe[r[i]].pb(i);
			//cout << l[i] << ' ' << r[i] << endl;
		}
		long long sum = 0;
		int cnt = 0;
		for (int i = 0; i < sz(vx); i++) {
			for (auto x: fe[i]) {
				sum += vx[r[x]];
				cnt++;
			}
			score[i] += 1LL * vx[i] * cnt - sum;
		}	
		cnt = 0;
		sum = 0;
		long long add = 2e18;
		for (int i = sz(vx) - 1; i >= 0; i--) {
			for (auto x: fb[i]) {
				sum += vx[l[x]];
				cnt++;
			}
			score[i] += -1LL * vx[i] * cnt + sum;
			chkmin(add, score[i]);
		}	
		//cout << add << endl;
		cout << ans + 2 * add << '\n';
		return 0;
	}
	uk = 0;
	ft = 0;
	long long add = 2e18;
	for (int i = 0; i < n; i++) {
		//x - r[i] <= l[i] - y
		//x + y <= l[i] + r[i]
		st.pb({vx[l[i]] + vx[r[i]], i});
	}
	sort(all(st));
	for (int i = 0; i < n; i++) {
		where[st[i].second] = i;
		addi(i);
	}
	for (int i = 0; i < sz(vx); i++) {
		chkmax(uk, i);
		recalc(i, uk);
		while (uk + 1 < sz(vx) && getres(i, uk) >= getres(i, uk + 1)) {
			uk++;
			recalc(i, uk);
		}
		chkmin(add, getres(i, uk));
	}	
	cout << ans + 2 * add << '\n';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9724 KB Output is correct
3 Correct 10 ms 9848 KB Output is correct
4 Correct 11 ms 9848 KB Output is correct
5 Correct 11 ms 9848 KB Output is correct
6 Correct 10 ms 9848 KB Output is correct
7 Correct 11 ms 9848 KB Output is correct
8 Correct 10 ms 9848 KB Output is correct
9 Correct 11 ms 9848 KB Output is correct
10 Correct 11 ms 9848 KB Output is correct
11 Correct 11 ms 9848 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9692 KB Output is correct
2 Correct 12 ms 9720 KB Output is correct
3 Correct 12 ms 9760 KB Output is correct
4 Correct 11 ms 9976 KB Output is correct
5 Correct 11 ms 9848 KB Output is correct
6 Correct 10 ms 9848 KB Output is correct
7 Correct 11 ms 9848 KB Output is correct
8 Correct 13 ms 9848 KB Output is correct
9 Correct 11 ms 9848 KB Output is correct
10 Correct 10 ms 9848 KB Output is correct
11 Correct 11 ms 9848 KB Output is correct
12 Correct 40 ms 13684 KB Output is correct
13 Correct 137 ms 21524 KB Output is correct
14 Correct 78 ms 13936 KB Output is correct
15 Correct 78 ms 16624 KB Output is correct
16 Correct 46 ms 14292 KB Output is correct
17 Correct 93 ms 21356 KB Output is correct
18 Correct 83 ms 21104 KB Output is correct
19 Correct 138 ms 21360 KB Output is correct
20 Correct 51 ms 14572 KB Output is correct
21 Correct 95 ms 21516 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Incorrect 10 ms 9720 KB Output isn't correct
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9848 KB Output is correct
4 Incorrect 10 ms 9720 KB Output isn't correct
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 12 ms 9720 KB Output is correct
2 Correct 12 ms 9720 KB Output is correct
3 Correct 12 ms 9848 KB Output is correct
4 Incorrect 10 ms 9720 KB Output isn't correct
5 Halted 0 ms 0 KB -