oj.uz

Submission #547372

# Submission time Handle Problem Language Result Execution time Memory
547372 2022-04-10T14:21:05 Z blue Reconstruction Project (JOI22_reconstruction) C++17
31 / 100
 5000 ms 14532 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#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;

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




vvi adj; //done

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);

	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";




	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);


		// 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';
			vi nwedgelist;

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

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

			for(int e : edgelist)
				if(e != mincyclic)
					nwedgelist.push_back(e);

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

			edgelist = nwedgelist;

			// 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 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);

		// 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);

			// 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 2 ms 1492 KB Output is correct
20 Execution timed out 5052 ms 4692 KB Time limit exceeded
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 Execution timed out 5056 ms 4724 KB Time limit exceeded
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 262 ms 14012 KB Output is correct
21 Correct 253 ms 14164 KB Output is correct
22 Correct 275 ms 14016 KB Output is correct
23 Correct 257 ms 13996 KB Output is correct
24 Correct 242 ms 14028 KB Output is correct
25 Correct 241 ms 13900 KB Output is correct
26 Correct 241 ms 14128 KB Output is correct
27 Correct 272 ms 14096 KB Output is correct
28 Correct 275 ms 13992 KB Output is correct
29 Correct 279 ms 14000 KB Output is correct
30 Correct 318 ms 13996 KB Output is correct
31 Correct 267 ms 13984 KB Output is correct
32 Correct 279 ms 14532 KB Output is correct
33 Correct 299 ms 13772 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 2 ms 1492 KB Output is correct
20 Execution timed out 5052 ms 4692 KB Time limit exceeded
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 2 ms 1492 KB Output is correct
20 Execution timed out 5052 ms 4692 KB Time limit exceeded
21 Halted 0 ms 0 KB -