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답안 #683063

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
683063 2023-01-17T15:37:06 Z anonimy 오벨리스크 (NOI14_obelisk) C++14
25 / 25
 99 ms 32992 KB 
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <functional>

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pll;

vector<vector<pll>> G;
vector<ll> dist;
ll m;

ll dist1D(ll x, bool hor, bool ver)
{
	if (m == 1) return x;
	if (!x) return 0;
	if (!hor && !ver) return 1e18;

	if (!hor) return x;

	ll v = x / (m + 1);
	ll sx = v * (m + 1);
	if (sx==x) return 2 * v - 2;
	if (!ver) return 1e18;

	ll forw = max<ll>(2 * v - 2, 0) + x - sx;
	ll back = v * 2 + sx + m + 1 - x;

	return min<ll>(forw, back);
}

ll dist2D(pll a, pll b)
{
	ll x = abs(a.first - b.first), y = abs(a.second - b.second);

	ll ans = 1e18;
	for (ll hor = 0; hor < 2; hor++)
		for (ll ver = 0; ver < 2; ver++)
			ans = min<ll>(ans, 2 * (hor + ver) + dist1D(x, hor, ver) + dist1D(y, ver, hor));

	return ans;
}

void dijkstra(ll s)
{
	dist.resize(G.size(), 1e18);
	vector<bool> visited(G.size(), false);
	priority_queue<pll, vector<pll>, greater<pll>> pq;

	dist[s] = 0;
	pq.push({ 0, s });

	while (!pq.empty())
	{
		ll v = pq.top().second;
		pq.pop();

		if (visited[v]) continue;
		visited[v] = true;

		for (ll i = 0; i < G[v].size(); i++)
		{
			ll u = G[v][i].first, w = G[v][i].second;

			if (dist[v] + w < dist[u])
			{
				dist[u] = dist[v] + w;
				pq.push({ dist[u], u });
			}
		}
	}
}

int main()
{
	ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);

	ll k;
	cin >> k >> m;

	pll s, e;
	cin >> s.first >> s.second >> e.first >> e.second;

	vector<vector<pll>> floors(k + 1);
	floors[0].push_back(s);
	ll cnt = 2;
	for (ll i = 1; i < k; i++)
	{
		ll c;
		cin >> c;
		for (ll j = 0; j < c; j++)
		{
			pll x;
			cin >> x.first >> x.second;

			floors[i].push_back(x);
			cnt++;
		}
	}
	floors.back().push_back(e);

	G.resize(cnt);
	ll id = 0;
	for (ll i = 0; i < k; i++)
	{
		for (ll j = 0; j < floors[i].size(); j++)
		{
			for (ll k = 0; k < floors[i + 1].size(); k++)
			{
				ll v = id + j, u = id + floors[i].size() + k;
				ll w = dist2D(floors[i][j], floors[i + 1][k]);

				G[v].push_back({ u, w });
			}
		}
		id += floors[i].size();
	}

	dijkstra(0);

	cout << (dist.back()!=1e18?dist.back():-1);
}
/*
2 2
3 4 3 2
3 3 3 1 2 5 1

*/

Compilation message

obelisk.cpp: In function 'void dijkstra(ll)':
obelisk.cpp:64:20: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |   for (ll i = 0; i < G[v].size(); i++)
      |                  ~~^~~~~~~~~~~~~
obelisk.cpp: In function 'int main()':
obelisk.cpp:109:20: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  109 |   for (ll j = 0; j < floors[i].size(); j++)
      |                  ~~^~~~~~~~~~~~~~~~~~
obelisk.cpp:111:21: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  111 |    for (ll k = 0; k < floors[i + 1].size(); k++)
      |                   ~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 2 ms 852 KB Output is correct
3 Correct 2 ms 852 KB Output is correct
4 Correct 2 ms 1212 KB Output is correct
5 Correct 1 ms 596 KB Output is correct

Subtask #3
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 69 ms 28236 KB Output is correct
2 Correct 86 ms 31640 KB Output is correct
3 Correct 72 ms 30536 KB Output is correct
4 Correct 74 ms 31376 KB Output is correct
5 Correct 77 ms 32848 KB Output is correct

Subtask #4
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 99 ms 30436 KB Output is correct
2 Correct 77 ms 28948 KB Output is correct
3 Correct 74 ms 29772 KB Output is correct
4 Correct 88 ms 32992 KB Output is correct
5 Correct 93 ms 30464 KB Output is correct