Submission #875886

# Submission time Handle Problem Language Result Execution time Memory
875886 2023-11-20T16:51:46 Z serifefedartar Domino (COCI15_domino) C++17
110 / 160
767 ms 524288 KB
#include <bits/stdc++.h>
using namespace std;
 
#define fast ios::sync_with_stdio(0);cin.tie(0);
#define s second
#define f first
typedef long long ll;
const ll MOD = 998244353;
const ll LOGN = 20; 
const ll MAXN = 5e6 + 101;

struct Edge {
	int from, to;
	short cost;
	char cap;
	Edge() { }
	Edge(int _from, int _to, short _cost, char _cap) : from(_from), to(_to), cost(_cost), cap(_cap) { }
}; 

struct Flow {
	vector<Edge> edges;
	vector<vector<int>> graph;
	vector<int> from; 
	vector<short> dist;
	int n_, Q, source, terminal;
	Flow(int n) {
		Q = -1;
		n_ = n;
		graph = vector<vector<int>>(n + 10);
		dist = vector<short>(n + 10);
		from = vector<int>(n + 10);
	}
	void addEdge(int from, int to, int cost, int cap) {
		Q++;
		edges.push_back(Edge(from, to, cost, cap));
		graph[from].push_back(Q);
		Q++;
		edges.push_back(Edge(to, from, -cost, 0));
		graph[to].push_back(Q);
	}
	bool SPFA() {
		queue<int> q;
		vector<bool> que(n_ + 10, 0); 
		for (int i = 0; i < dist.size(); i++)
			dist[i] = 10000;

		dist[source] = 0;
		que[source] = 1;
		q.push(source);
		while (!q.empty()) {
			int node = q.front();
			q.pop();
			que[node] = false;

			for (auto u : graph[node]) {
				if (edges[u].cap && dist[edges[u].to] > edges[u].cost + dist[node]) {
					dist[edges[u].to] = edges[u].cost + dist[node];
					from[edges[u].to] = u;
					if (!que[edges[u].to]) {
						q.push(edges[u].to);
						que[edges[u].to] = true;
					}
				}
			}
		}
		return (dist[terminal] != 10000);
	}
	ll minCost() {
		ll cost = 0;
		while (SPFA()) {
			cost += dist[terminal];
			int now = terminal;

			while (now != source) {
				int edge_id = from[now];
				int from = edges[edge_id].from;
				now = from;
				edges[edge_id].cap--;
				edges[edge_id ^ 1].cap++;
			}
		}
		return cost;
	}
};

short grid[2005][2005];
int main() {
	fast
	int N, K;
	cin >> N >> K;

	ll ans = 0;
	for (int i = 0; i < N; i++) {
		for (int j = 1; j <= N; j++) {
			cin >> grid[i][j];
			ans += grid[i][j];
		}
	}

	Flow F = Flow(N * N + 10);
	F.addEdge(N * N + 2, 0, 0, K);
	for (int i = 0; i < N; i++) {
		for (int j = 1; j <= N; j++) {
			if ((i + 1 + j) % 2)
				F.addEdge(0, i * N + j, -grid[i][j], 1);
		}
	}
	for (int i = 0; i < N; i++) {
		for (int j = 1; j <= N; j++) {
			if ((i + 1 + j) % 2) {
				if (j != N)
					F.addEdge(i * N + j, i * N + j + 1, 0, 1);
				if (i != N - 1)
					F.addEdge(i * N + j, (i+1) * N + j, 0, 1);
				if (j != 1)
					F.addEdge(i * N + j, i * N + j - 1, 0, 1);
				if (i != 0)
					F.addEdge(i * N + j, (i-1) * N + j, 0, 1);
			}
		}
	}
	for (int i = 0; i < N; i++) {
		for (int j = 1; j <= N; j++) {
			if ((i + 1 + j) % 2 == 0)
				F.addEdge(i * N + j, N * N + 1, -grid[i][j], 1);
		}
	}
	F.source = N * N + 2, F.terminal = N * N + 1;

	ans += F.minCost();
	cout << ans << "\n";
}

Compilation message

domino.cpp: In member function 'bool Flow::SPFA()':
domino.cpp:44:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<short int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   44 |   for (int i = 0; i < dist.size(); i++)
      |                   ~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 70 ms 44336 KB Output is correct
2 Correct 67 ms 44788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2904 KB Output is correct
2 Correct 1 ms 2904 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 767 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 747 ms 361500 KB Output is correct
2 Correct 661 ms 360404 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 342 ms 172532 KB Output is correct
2 Correct 311 ms 172916 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 652 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3164 KB Output is correct
2 Correct 2 ms 2988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 647 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5 ms 4116 KB Output is correct
2 Correct 4 ms 4244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 685 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3480 KB Output is correct
2 Correct 2 ms 3480 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 452 ms 171088 KB Output is correct
2 Correct 399 ms 173028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 650 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -