#include <bits/stdc++.h>
using namespace std;
template<class C>constexpr int sz(const C&c){return int(c.size());}
using ll=long long;constexpr const char nl='\n',sp=' ';
template <const int MAXV> struct HopcroftKarpMaxMatch {
int mate[MAXV], lvl[MAXV + 1], q[MAXV]; vector<int> adj[MAXV], type[2]; bool color[MAXV], inCover[MAXV], vis[MAXV];
void addEdge(int v, int w) { adj[v].push_back(w); adj[w].push_back(v); }
bool bfs(int V) {
lvl[V] = -1; int front = 0, back = 0;
for (int v : type[0]) {
if (mate[v] == V) lvl[q[back++] = v] = 0;
else lvl[v] = -1;
}
while (front < back) {
int v = q[front++];
for (int w : adj[v]) if (lvl[mate[w]] == -1) {
lvl[mate[w]] = lvl[v] + 1;
if (mate[w] == V) return true;
else q[back++] = mate[w];
}
}
return lvl[V] != -1;
}
bool dfs(int V, int v) {
for (int w : adj[v]) if (lvl[mate[w]] == lvl[v] + 1 && (mate[w] == V || dfs(V, mate[w]))) { mate[mate[v] = w] = v; return true; }
lvl[v] = -1; return false;
}
void init(int V) { for (int i = 0; i < V; i++) { adj[i].clear(); color[i] = false; } }
int getMaxMatch(int V) {
int cardinality = 0;
for (int i = 0; i < 2; i++) type[i].clear();
for (int v = 0; v < V; v++) { type[color[v]].push_back(v); mate[v] = V; }
while (bfs(V)) for (int v : type[0]) if (mate[v] == V && dfs(V, v)) cardinality++;
return cardinality;
}
void dfsVertexCover(int v) {
if (vis[v]) return;
vis[v] = true;
for (int w : adj[v]) if ((mate[v] == w) == color[v]) dfsVertexCover(w);
}
void getVertexCover(int V) {
fill(vis, vis + V, false);
for (int v : type[0]) if (mate[v] == V) dfsVertexCover(v);
for (int v = 0; v < V; v++) inCover[v] = vis[v] == color[v];
}
};
const int MAXNM = 505;
int N, M;
string G[MAXNM];
HopcroftKarpMaxMatch<MAXNM * MAXNM * 2> mm;
int getUp(int i, int j) {
if (G[i][j] == '1') return i * M + j;
return getUp(i - 1, j);
}
int getLeft(int i, int j) {
if (G[i][j] == '1') return N * M + i * M + j;
return getLeft(i, j - 1);
}
int main() {
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
// freopen("err.txt", "w", stderr);
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> N >> M;
mm.init(N * M * 2);
fill(mm.color, mm.color + N * M, true);
for (int i = 0; i < N; i++) cin >> G[i];
for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) if (G[i][j] == '0') mm.addEdge(getUp(i, j), getLeft(i, j));
cout << mm.getMaxMatch(N * M * 2) << nl;
mm.getVertexCover(N * M * 2);
for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) if (G[i][j] == '1') {
if (mm.inCover[i * M + j] && mm.mate[i * M + j] != -1) cout << i + 1 << sp << j + 1 << sp << "DOLJE" << nl;
if (mm.inCover[N * M + i * M + j] && mm.mate[N * M + i * M + j] != -1) cout << i + 1 << sp << j + 1 << sp << "DESNO" << nl;
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
12416 KB |
Correct. |
2 |
Correct |
11 ms |
12416 KB |
Correct. |
3 |
Correct |
11 ms |
12416 KB |
Correct. |
4 |
Correct |
11 ms |
12416 KB |
Correct. |
5 |
Correct |
11 ms |
12416 KB |
Correct. |
6 |
Correct |
11 ms |
12416 KB |
Correct. |
7 |
Correct |
11 ms |
12416 KB |
Correct. |
8 |
Correct |
11 ms |
12416 KB |
Correct. |
9 |
Correct |
13 ms |
12416 KB |
Correct. |
10 |
Correct |
11 ms |
12288 KB |
Correct. |
11 |
Correct |
12 ms |
12416 KB |
Correct. |
12 |
Correct |
11 ms |
12416 KB |
Correct. |
13 |
Correct |
13 ms |
12416 KB |
Correct. |
14 |
Correct |
12 ms |
12288 KB |
Correct. |
15 |
Correct |
11 ms |
12416 KB |
Correct. |
16 |
Correct |
11 ms |
12416 KB |
Correct. |
17 |
Correct |
11 ms |
12416 KB |
Correct. |
18 |
Correct |
12 ms |
12416 KB |
Correct. |
19 |
Correct |
12 ms |
12416 KB |
Correct. |
20 |
Correct |
12 ms |
12416 KB |
Correct. |
21 |
Correct |
12 ms |
12416 KB |
Correct. |
22 |
Correct |
12 ms |
12416 KB |
Correct. |
23 |
Correct |
13 ms |
12288 KB |
Correct. |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
12416 KB |
Correct. |
2 |
Correct |
12 ms |
12416 KB |
Correct. |
3 |
Correct |
11 ms |
12416 KB |
Correct. |
4 |
Correct |
13 ms |
12416 KB |
Correct. |
5 |
Correct |
12 ms |
12416 KB |
Correct. |
6 |
Correct |
13 ms |
12416 KB |
Correct. |
7 |
Correct |
12 ms |
12416 KB |
Correct. |
8 |
Correct |
12 ms |
12544 KB |
Correct. |
9 |
Correct |
14 ms |
12672 KB |
Correct. |
10 |
Correct |
13 ms |
12672 KB |
Correct. |
11 |
Correct |
13 ms |
12672 KB |
Correct. |
12 |
Correct |
13 ms |
12672 KB |
Correct. |
13 |
Correct |
13 ms |
12672 KB |
Correct. |
14 |
Correct |
14 ms |
12672 KB |
Correct. |
15 |
Correct |
13 ms |
12672 KB |
Correct. |
16 |
Correct |
13 ms |
12672 KB |
Correct. |
17 |
Correct |
15 ms |
12576 KB |
Correct. |
18 |
Correct |
13 ms |
12672 KB |
Correct. |
19 |
Correct |
13 ms |
12672 KB |
Correct. |
20 |
Correct |
13 ms |
12672 KB |
Correct. |
21 |
Correct |
13 ms |
12672 KB |
Correct. |
22 |
Correct |
14 ms |
12672 KB |
Correct. |
23 |
Correct |
14 ms |
12672 KB |
Correct. |
24 |
Correct |
18 ms |
12672 KB |
Correct. |
25 |
Correct |
19 ms |
12672 KB |
Correct. |
26 |
Correct |
13 ms |
12672 KB |
Correct. |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
12416 KB |
Correct. |
2 |
Correct |
11 ms |
12416 KB |
Correct. |
3 |
Correct |
11 ms |
12416 KB |
Correct. |
4 |
Correct |
11 ms |
12416 KB |
Correct. |
5 |
Correct |
11 ms |
12416 KB |
Correct. |
6 |
Correct |
11 ms |
12416 KB |
Correct. |
7 |
Correct |
11 ms |
12416 KB |
Correct. |
8 |
Correct |
11 ms |
12416 KB |
Correct. |
9 |
Correct |
13 ms |
12416 KB |
Correct. |
10 |
Correct |
11 ms |
12288 KB |
Correct. |
11 |
Correct |
12 ms |
12416 KB |
Correct. |
12 |
Correct |
11 ms |
12416 KB |
Correct. |
13 |
Correct |
13 ms |
12416 KB |
Correct. |
14 |
Correct |
12 ms |
12288 KB |
Correct. |
15 |
Correct |
11 ms |
12416 KB |
Correct. |
16 |
Correct |
11 ms |
12416 KB |
Correct. |
17 |
Correct |
11 ms |
12416 KB |
Correct. |
18 |
Correct |
12 ms |
12416 KB |
Correct. |
19 |
Correct |
12 ms |
12416 KB |
Correct. |
20 |
Correct |
12 ms |
12416 KB |
Correct. |
21 |
Correct |
12 ms |
12416 KB |
Correct. |
22 |
Correct |
12 ms |
12416 KB |
Correct. |
23 |
Correct |
13 ms |
12288 KB |
Correct. |
24 |
Correct |
12 ms |
12416 KB |
Correct. |
25 |
Correct |
12 ms |
12416 KB |
Correct. |
26 |
Correct |
11 ms |
12416 KB |
Correct. |
27 |
Correct |
13 ms |
12416 KB |
Correct. |
28 |
Correct |
12 ms |
12416 KB |
Correct. |
29 |
Correct |
13 ms |
12416 KB |
Correct. |
30 |
Correct |
12 ms |
12416 KB |
Correct. |
31 |
Correct |
12 ms |
12544 KB |
Correct. |
32 |
Correct |
14 ms |
12672 KB |
Correct. |
33 |
Correct |
13 ms |
12672 KB |
Correct. |
34 |
Correct |
13 ms |
12672 KB |
Correct. |
35 |
Correct |
13 ms |
12672 KB |
Correct. |
36 |
Correct |
13 ms |
12672 KB |
Correct. |
37 |
Correct |
14 ms |
12672 KB |
Correct. |
38 |
Correct |
13 ms |
12672 KB |
Correct. |
39 |
Correct |
13 ms |
12672 KB |
Correct. |
40 |
Correct |
15 ms |
12576 KB |
Correct. |
41 |
Correct |
13 ms |
12672 KB |
Correct. |
42 |
Correct |
13 ms |
12672 KB |
Correct. |
43 |
Correct |
13 ms |
12672 KB |
Correct. |
44 |
Correct |
13 ms |
12672 KB |
Correct. |
45 |
Correct |
14 ms |
12672 KB |
Correct. |
46 |
Correct |
14 ms |
12672 KB |
Correct. |
47 |
Correct |
18 ms |
12672 KB |
Correct. |
48 |
Correct |
19 ms |
12672 KB |
Correct. |
49 |
Correct |
13 ms |
12672 KB |
Correct. |
50 |
Correct |
105 ms |
22888 KB |
Correct. |
51 |
Correct |
254 ms |
21508 KB |
Correct. |
52 |
Correct |
153 ms |
24168 KB |
Correct. |
53 |
Correct |
87 ms |
23004 KB |
Correct. |
54 |
Correct |
120 ms |
22488 KB |
Correct. |
55 |
Correct |
120 ms |
24168 KB |
Correct. |
56 |
Correct |
89 ms |
23888 KB |
Correct. |
57 |
Correct |
81 ms |
23528 KB |
Correct. |
58 |
Correct |
282 ms |
21992 KB |
Correct. |
59 |
Correct |
90 ms |
21860 KB |
Correct. |
60 |
Correct |
99 ms |
23400 KB |
Correct. |
61 |
Correct |
152 ms |
22516 KB |
Correct. |
62 |
Correct |
106 ms |
23400 KB |
Correct. |
63 |
Correct |
101 ms |
23532 KB |
Correct. |
64 |
Correct |
130 ms |
21368 KB |
Correct. |
65 |
Correct |
97 ms |
23404 KB |
Correct. |
66 |
Correct |
140 ms |
23196 KB |
Correct. |
67 |
Correct |
168 ms |
24168 KB |
Correct. |
68 |
Correct |
114 ms |
24172 KB |
Correct. |
69 |
Correct |
103 ms |
22892 KB |
Correct. |
70 |
Correct |
106 ms |
23144 KB |
Correct. |
71 |
Correct |
173 ms |
24684 KB |
Correct. |
72 |
Correct |
94 ms |
24552 KB |
Correct. |
73 |
Correct |
142 ms |
24812 KB |
Correct. |
74 |
Correct |
172 ms |
24684 KB |
Correct. |
75 |
Correct |
139 ms |
24912 KB |
Correct. |