제출 #707093

#제출 시각아이디문제언어결과실행 시간메모리
707093600MihneaJakarta Skyscrapers (APIO15_skyscraper)C++17
57 / 100
1070 ms7672 KiB
#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;

const int INF = (int)1e9 + 7;

struct T
{
	int pos;
	int delta;
};

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

	int dim, cntofs;
	cin >> dim >> cntofs;

	vector<T> ofs(cntofs);
	vector<vector<int>> cine(dim);
	for (int i = 0; i < cntofs; i++)
	{
		cin >> ofs[i].pos >> ofs[i].delta;
		assert(0 <= ofs[i].pos && ofs[i].pos < dim);
		cine[ofs[i].pos].push_back(i);
	}


	vector<int> dp(dim, INF);

	priority_queue<pair<int, int>> pq;

	auto relax = [&](int i, int val)
	{
		if (val < dp[i])
		{
			dp[i] = val;
			pq.push({ -dp[i], i });
		}
	};

	set<pair<int, int>> s_delta_rest;
	// {delta, rest}
	for (auto& it : ofs)
	{
		s_delta_rest.insert({ it.delta, it.pos % it.delta });
	}
	vector<pair<int, int>> v_delta_rest;

	for (auto& it : s_delta_rest)
	{
		v_delta_rest.push_back(it);
	}

	int states = (int)v_delta_rest.size();
	vector<vector<int>> cool(states);
	for (int it = 0; it < states; it++)
	{
		int i = v_delta_rest[it].first, j = v_delta_rest[it].second;
		for (int p = j; p < dim; p += i)
		{
			if (!cine[p].empty())
			{
				cool[it].push_back(p);
			}
		}
	}

	auto fnd = [&](pair<int, int> it)
	{
		assert(0 <= it.second && it.second < it.first);
		int l = 0, r = (int)v_delta_rest.size() - 1;
		while (l <= r)
		{
			int m = (l + r) / 2;
			if (v_delta_rest[m] == it)
			{
				return m;
			}
			if (v_delta_rest[m] < it)
			{
				l = m + 1;
			}
			else
			{
				r = m - 1;
			}
		}
		assert(0);
	};

	relax(ofs[0].pos, 0);
	
	while (!pq.empty())
	{
		auto it = pq.top();
		pq.pop();
		int loc = it.second;
		if (-it.first != dp[loc])
		{
			continue;
		}
		for (auto& i : cine[loc])
		{
			for (auto& loc2 : cool[fnd({ ofs[i].delta, loc % ofs[i].delta })])
			{
				int posdif = abs(ofs[i].pos - loc2);
				relax(loc2, dp[loc] + posdif / ofs[i].delta);
			}
		}
	}
	int sol = (dp[ofs[1].pos] == INF) ? (-1) : (dp[ofs[1].pos]);
	cout << sol << "\n";
	return 0;
}
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