oj.uz

Submission #547375

# Submission time Handle Problem Language Result Execution time Memory
547375 2022-04-10T14:27:02 Z blue Reconstruction Project (JOI22_reconstruction) C++17
31 / 100
 231 ms 14540 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
#include <cassert>
using namespace std;

using ll = long long;
using vll = vector<ll>;
using vi = vector<int>;
using vvi = vector<vi>;
using pll = pair<ll, ll>;
#define sz(x) int(x.size())

struct edge
{
	int a;
	int b;
	ll w;
};

bool operator < (edge A, edge B)
{
	return A.w < B.w;
}

struct costchange
{
	ll w;
	ll deltaX;
	ll deltaC;
};

bool operator < (costchange A, costchange B)
{
	return A.w < B.w;
}



const int maxM = 100'000;
const int maxN = 500;

vi A(maxM), B(maxM), W(maxM);




set<int> adj[maxN];

void addedge(int e)
{
	adj[A[e]].insert(e);
	adj[B[e]].insert(e);
}

void removeedge(int e)
{
	adj[A[e]].erase(e);
	adj[B[e]].erase(e);
}

vi vis; //done
vi cyclic; //done

vi st; //done

vi paredge;

bool discovered;

void dfs(int u, int pe)
{
	// cerr << "\n\n\n\n";
	// cerr << "enter : dfs " << u << ' ' << p << '\n';
	vis[u] = 1;

	st.push_back(u);
	for(int e : adj[u])
	{
		// cerr << "enter edge\n";
		int v = A[e] + B[e] - u;

		// cerr << u << " -> " << v << '\n';
		if(e == pe) 
		{
			// cerr << "case 1\n";
			continue;
		}
		else if(vis[v])
		{
			if(!discovered)
			{
				discovered = 1;
				// cerr << "case 2\n";

				// cerr << "paredge v = " << paredge[v] << '\n';
				// for(int f : st) cerr << "f = " << f << " : " << paredge[f] << '\n';

				for(int k = sz(st) - 1; k >= 0 && st[k] != v; k--)
				{
					// cerr << "checking : k = " << k << '\n';
					// if(paredge[st[k]] == -1) cerr << "ATTENTION : V = " << v << '\n'; 
					cyclic.push_back(paredge[st[k]]);
				}
				cyclic.push_back(e);
				// cerr << "case 2 done\n";
			}
			
		}
		else
		{
			// cerr << "case 3\n";
			paredge[v] = e;
			dfs(v, e);
			if(discovered) return;
		}

	}
	st.pop_back();
}








int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	int N, M;
	cin >> N >> M;

	assert(M*N <= 50'000'000 - 1);

	vector<edge> E(M);
	for(int j = 0; j < M; j++)
	{
		cin >> E[j].a >> E[j].b >> E[j].w;
		E[j].a--;
		E[j].b--;
	}
	sort(E.begin(), E.end());

	for(int j = 0; j < M; j++)
	{
		A[j] = E[j].a;
		B[j] = E[j].b;
		W[j] = E[j].w;
	}

	// cerr << "\n\n\n edges = \n";
	// for(int j = 0; j < M; j++) cerr << A[j] << ' ' << B[j] << ' ' << W[j] << '\n';
	// 	cerr << "\n\n";



	for(int i = 0; i < N; i++)
		adj[i].clear();

	vi edgelist;


	vll minW(M), maxW(M); //do 2x the actual thing!!!

	for(int j = 0; j < M; j++)
	{
		// cerr << "\n\n\n\n\n\n\n";
		// cerr << "j = " << j << '\n';
		vis = vi(N, 0);
		assert(sz(edgelist) < N);

		// edgelist.push_back(j);
		addedge(j);


		// cerr << "edgelist : \n";
		// for(int e : edgelist)
		// 	cerr << A[e] << ' ' << B[e] << ' ' << W[e] << '\n';

		// cerr << "###\n";
		// adj = vvi(N);
		// for(int e : edgelist)
		// {
		// 	adj[A[e]].push_back(e);
		// 	adj[B[e]].push_back(e);
		// }

		cyclic.clear();

		discovered = 0;

		st.clear();

		paredge = vi(N, -1);

		// cerr << "done\n";

		for(int i = 0; i < N; i++)
		{
			if(vis[i]) continue;
			if(discovered) break;
			dfs(i, -1);
		}

		// cerr << "dfs done\n";

		if(cyclic.empty()) minW[j] = 0;
		else
		{
			// cerr << "!!!!!CYCLIC DETECTED!!!!!\n";
			// cerr << "case = 2" << '\n';

			int mincyclic = cyclic[0];
			for(int c : cyclic)
				mincyclic = min(mincyclic, c);

			removeedge(mincyclic);
			// cerr << "# done\n";

			// cerr << "mincyclic = " << mincyclic << '\n';

			minW[j] = W[j] + W[mincyclic];

			// cerr << "transition from " << mincyclic << " to " << j << " = " << minW[j] << "/2" << '\n';

			// cerr << "3 done\n";
		}

		// cerr << "J = " << j << " done\n";
	}






























	// cerr << "check\n";
	// cerr << "\n\n\n\n\n\n\n\nPART 2 PART 2 PART 2\n";


	// edgelist.clear();

	for(int i = 0; i < N; i++)
		adj[i].clear();

	for(int j = M-1; j >= 0; j--)
	{
		// cerr << "\n\n\n\n\n\n\n";
		// cerr << "j = " << j << '\n';
		vis = vi(N, 0);
		assert(sz(edgelist) < N);

		// edgelist.push_back(j);
		addedge(j);

		// cerr << "edgelist : \n";
		// for(int e : edgelist)
		// 	cerr << A[e] << ' ' << B[e] << ' ' << W[e] << '\n';

		// cerr << "###\n";
		// adj = vvi(N);
		// for(int e : edgelist)
		// {
		// 	adj[A[e]].push_back(e);
		// 	adj[B[e]].push_back(e);
		// }

		cyclic.clear();

		discovered = 0;

		st.clear();

		paredge = vi(N, -1);

		// cerr << "done\n";

		for(int i = 0; i < N; i++)
		{
			if(vis[i]) continue;
			if(discovered) break;
			dfs(i, -1);
		}

		// cerr << "dfs done\n";

		if(cyclic.empty()) maxW[j] = 2'000'000'004;
		else
		{
			// cerr << "!!!!!CYCLIC DETECTED!!!!!\n";
			// cerr << "case = 2" << '\n';
			// vi nwedgelist;

			int maxcyclic = cyclic[0];
			for(int c : cyclic)
				maxcyclic = max(maxcyclic, c);

			// cerr << "1 done\n";

			// for(int e : edgelist)
			// 	if(e != maxcyclic)
			// 		nwedgelist.push_back(e);
			removeedge(maxcyclic);

			// cerr << "2 done\n";

			// edgelist = nwedgelist;

			// cerr << "# done\n";

			maxW[j] = W[j] + W[maxcyclic];

			// cerr << "3 done\n";
		}

		// cerr << "J = " << j << " done\n";
	}


	// for(int j = 0; j < M; j++) cerr << A[j] << ' ' << B[j] << ' ' << W[j] << " : " << minW[j] << ' ' << maxW[j] << '\n';


	vector<pll> deltaX, deltaC;

	for(int j = 0; j < M; j++)
	{
		deltaX.push_back({minW[j], -1});
		deltaC.push_back({minW[j], W[j]});

		deltaX.push_back({2*W[j], +1});
		deltaC.push_back({2*W[j], -W[j]});

		deltaX.push_back({2*W[j]+1, +1});
		deltaC.push_back({2*W[j]+1, -W[j]});

		deltaX.push_back({maxW[j], -1});
		deltaC.push_back({maxW[j], +W[j]});
	}

	sort(deltaX.begin(), deltaX.end());
	sort(deltaC.begin(), deltaC.end());


	ll currX = 0, currC = 0;

	int it = -1;

	int Q;
	cin >> Q;

	for(int q = 0; q < Q; q++)
	{
		ll X;
		cin >> X;

		while(it+1 < sz(deltaX) && deltaX[it+1].first <= 2*X)
		{
			it++;
			currX += deltaX[it].second;
			currC += deltaC[it].second;
		}

		cout << currX*X + currC << '\n';
	}
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Correct 1 ms 1492 KB Output is correct
5 Correct 1 ms 1492 KB Output is correct
6 Correct 1 ms 1492 KB Output is correct
7 Correct 1 ms 1492 KB Output is correct
8 Correct 1 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1492 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1492 KB Output is correct
13 Correct 1 ms 1492 KB Output is correct
14 Correct 1 ms 1492 KB Output is correct
15 Correct 1 ms 1492 KB Output is correct
16 Correct 1 ms 1492 KB Output is correct
17 Correct 1 ms 1492 KB Output is correct
18 Correct 1 ms 1492 KB Output is correct

Subtask #2
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Correct 1 ms 1492 KB Output is correct
5 Correct 1 ms 1492 KB Output is correct
6 Correct 1 ms 1492 KB Output is correct
7 Correct 1 ms 1492 KB Output is correct
8 Correct 1 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1492 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1492 KB Output is correct
13 Correct 1 ms 1492 KB Output is correct
14 Correct 1 ms 1492 KB Output is correct
15 Correct 1 ms 1492 KB Output is correct
16 Correct 1 ms 1492 KB Output is correct
17 Correct 1 ms 1492 KB Output is correct
18 Correct 1 ms 1492 KB Output is correct
19 Correct 1 ms 1492 KB Output is correct
20 Runtime error 2 ms 2900 KB Execution killed with signal 6
21 Halted 0 ms 0 KB -

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Runtime error 2 ms 2900 KB Execution killed with signal 6
5 Halted 0 ms 0 KB -

Subtask #4
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Correct 1 ms 1492 KB Output is correct
5 Correct 1 ms 1492 KB Output is correct
6 Correct 1 ms 1492 KB Output is correct
7 Correct 1 ms 1492 KB Output is correct
8 Correct 1 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1492 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1492 KB Output is correct
13 Correct 1 ms 1492 KB Output is correct
14 Correct 1 ms 1492 KB Output is correct
15 Correct 1 ms 1492 KB Output is correct
16 Correct 1 ms 1492 KB Output is correct
17 Correct 1 ms 1492 KB Output is correct
18 Correct 1 ms 1492 KB Output is correct
19 Correct 1 ms 1492 KB Output is correct
20 Correct 228 ms 14160 KB Output is correct
21 Correct 210 ms 14188 KB Output is correct
22 Correct 207 ms 14140 KB Output is correct
23 Correct 204 ms 14060 KB Output is correct
24 Correct 207 ms 13984 KB Output is correct
25 Correct 202 ms 14048 KB Output is correct
26 Correct 203 ms 14092 KB Output is correct
27 Correct 231 ms 14064 KB Output is correct
28 Correct 226 ms 14024 KB Output is correct
29 Correct 213 ms 14024 KB Output is correct
30 Correct 209 ms 14032 KB Output is correct
31 Correct 202 ms 14008 KB Output is correct
32 Correct 200 ms 14540 KB Output is correct
33 Correct 213 ms 13856 KB Output is correct

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Correct 1 ms 1492 KB Output is correct
5 Correct 1 ms 1492 KB Output is correct
6 Correct 1 ms 1492 KB Output is correct
7 Correct 1 ms 1492 KB Output is correct
8 Correct 1 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1492 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1492 KB Output is correct
13 Correct 1 ms 1492 KB Output is correct
14 Correct 1 ms 1492 KB Output is correct
15 Correct 1 ms 1492 KB Output is correct
16 Correct 1 ms 1492 KB Output is correct
17 Correct 1 ms 1492 KB Output is correct
18 Correct 1 ms 1492 KB Output is correct
19 Correct 1 ms 1492 KB Output is correct
20 Runtime error 2 ms 2900 KB Execution killed with signal 6
21 Halted 0 ms 0 KB -

Subtask #6
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Correct 1 ms 1492 KB Output is correct
5 Correct 1 ms 1492 KB Output is correct
6 Correct 1 ms 1492 KB Output is correct
7 Correct 1 ms 1492 KB Output is correct
8 Correct 1 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1492 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1492 KB Output is correct
13 Correct 1 ms 1492 KB Output is correct
14 Correct 1 ms 1492 KB Output is correct
15 Correct 1 ms 1492 KB Output is correct
16 Correct 1 ms 1492 KB Output is correct
17 Correct 1 ms 1492 KB Output is correct
18 Correct 1 ms 1492 KB Output is correct
19 Correct 1 ms 1492 KB Output is correct
20 Runtime error 2 ms 2900 KB Execution killed with signal 6
21 Halted 0 ms 0 KB -