답안 #705551

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
705551 2023-03-04T15:43:43 Z 600Mihnea Palembang Bridges (APIO15_bridge) C++17
100 / 100
348 ms 30908 KB
#include <cmath>
#include <functional>
#include <fstream>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <set>
#include <map>
#include <list>
#include <time.h>
#include <math.h>
#include <random>
#include <deque>
#include <queue>
#include <unordered_map>
#include <unordered_set>
#include <iomanip>
#include <cassert>
#include <bitset>
#include <sstream>
#include <chrono>
#include <cstring>
#include <numeric>

using namespace std;

#define int long long 

const int INF = (int)1e18 + 7;

pair<int, int> _rd_()
{
	string s;
	int i;
	cin >> s >> i;
	assert(s == "A" || s == "B");
	return { s == "B", i };
}

const int N = (int)1e5 + 7;
int k;
int n;
int extra;
pair<int, int> c1[N], c2[N];


signed main()
{
#ifdef ONPC	
	FILE* stream;
	freopen_s(&stream, "input.txt", "r", stdin);
#else
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif

	cin >> k >> n;
	{
		int y = 0;
		for (int i = 1; i <= n; i++)
		{
			c1[i] = _rd_();
			c2[i] = _rd_();
			if (c1[i].first == c2[i].first)
			{
				extra += abs(c1[i].second - c2[i].second);
				continue;
			}
			y++;
			c1[y] = c1[i];
			c2[y] = c2[i];
		}
		n = y;
	}
	if (n == 0)
	{
		cout << extra << "\n";
		return 0;
	}
	if (k == 1)
	{
		vector<int> coords;
		for (int i = 1; i <= n; i++)
		{
			coords.push_back(c1[i].second);
			coords.push_back(c2[i].second);
		}
		nth_element(coords.begin(), coords.begin() + n - 1, coords.end());
		int su = 0;
		for (int i = 0; i < 2 * n; i++)
		{
			su += abs(coords[i] - coords[n - 1]);
		}
		cout << su + extra + n << "\n";
		return 0;
	}
	assert(k == 2);
	set<int> s;
	for (int i = 1; i <= n; i++)
	{
		s.insert(c1[i].second);
		s.insert(c2[i].second);
		if (c1[i].second > c2[i].second)
		{
			swap(c1[i], c2[i]);
		}
	}
	vector<pair<int, int>> segs;
	for (int i = 1; i <= n; i++)
	{
		segs.push_back({ c1[i].second, c2[i].second });
		if (!(segs.back().first <= segs.back().second))
		{
			swap(segs.back().first, segs.back().second);
		}
		assert(segs.back().first <= segs.back().second);
	}
	sort(segs.begin(), segs.end(), [&](pair<int, int> a, pair<int, int> b) {return a.first + a.second < b.first + b.second; });
	vector<int> co;
	for (auto& x : s)
	{
		co.push_back(x);
	}
	assert(!co.empty());
	co.push_back(co.back());
	assert((int)co.size() >= 2);
	vector<int> values;
	for (int i = 0; i < (int)segs.size(); i++)
	{
		values.push_back(segs[i].first);
		values.push_back(segs[i].second);
	}
	vector<int> what((int)values.size() + 1, 0);
	multiset<int> low, high;
	int sl = 0, sh = 0;
	auto clr = [&]()
	{
		sl = 0;
		sh = 0;
		low.clear();
		high.clear();
	};
	auto baga = [&](int x)
	{
		if (low.empty())
		{
			sh += x;
			high.insert(x);
		}
		else
		{
			if (high.empty())
			{
				sl += x;
				low.insert(x);
			}
			else
			{
				assert(!low.empty());
				assert(!high.empty());
				if (x >= *high.begin())
				{
					sh += x;
					high.insert(x);
				}
				else
				{
					sl += x;
					low.insert(x);
				}
			}
		}
		while ((int)high.size() - 1 >= (int)low.size() + 1)
		{
			assert(!high.empty());
			sh -= *high.begin();
			sl += *high.begin();
			low.insert(*high.begin());
			high.erase(high.begin());
		}
		while ((int)low.size() - 1 >= (int)high.size() + 1)
		{
			assert(!low.empty());
			auto it = low.end();
			it--;

			sl -= *it;
			sh += *it;
			high.insert(*it);
			low.erase(it);
		}
		assert(abs((int)low.size() - (int)high.size()) <= 1);
	};
	auto get = [&]()
	{
		assert(!low.empty());
		assert(!high.empty());
		assert((int)low.size() == (int)high.size());
		int sol = 0, val = *high.begin();
		sol += ((int)low.size()-(int)high.size()) * val;
		sol -= sl;
		sol += sh;
		return sol;
	};
	clr();
	int sol = INF;
	for (int from = 0; from <= (int)values.size(); from += 2)
	{
		if (from >= 2)
		{
			baga(values[from - 2]);
			baga(values[from - 1]);
			what[from] += get();
		}
	}
	clr();
	for (int from = (int)values.size(); from >= 0; from -= 2)
	{
		if (from < (int)values.size())
		{
			baga(values[from]);
			baga(values[from + 1]);
			what[from] += get();
		}
		sol = min(sol, what[from]);
	}
	cout << sol + extra + n << "\n";
	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 32 ms 5548 KB Output is correct
13 Correct 42 ms 5588 KB Output is correct
14 Correct 33 ms 5312 KB Output is correct
15 Correct 25 ms 3216 KB Output is correct
16 Correct 44 ms 5536 KB Output is correct
17 Correct 39 ms 5604 KB Output is correct
18 Correct 39 ms 5616 KB Output is correct
19 Correct 40 ms 5576 KB Output is correct
20 Correct 51 ms 5544 KB Output is correct
21 Correct 39 ms 5640 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 2 ms 596 KB Output is correct
21 Correct 2 ms 596 KB Output is correct
22 Correct 2 ms 596 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 2 ms 596 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 3 ms 468 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 2 ms 596 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 2 ms 596 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 2 ms 596 KB Output is correct
25 Correct 144 ms 17624 KB Output is correct
26 Correct 196 ms 18488 KB Output is correct
27 Correct 328 ms 29116 KB Output is correct
28 Correct 348 ms 30908 KB Output is correct
29 Correct 266 ms 30768 KB Output is correct
30 Correct 124 ms 16392 KB Output is correct
31 Correct 127 ms 19156 KB Output is correct
32 Correct 200 ms 30780 KB Output is correct
33 Correct 153 ms 30396 KB Output is correct
34 Correct 219 ms 30208 KB Output is correct
35 Correct 150 ms 19332 KB Output is correct
36 Correct 210 ms 30552 KB Output is correct
37 Correct 153 ms 18240 KB Output is correct