#include <bits/stdc++.h>
#define int long long
#define fastio ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
using namespace std;
const int N = 1e5+5;
int arr[N], dp[N][2], dp2[N][2], dsu[N];
vector<int> adj[N];
int find(int u){
return dsu[u]==u ? u : dsu[u] = find(dsu[u]);
}
void unite(int u, int v){
u = find(u), v = find(v);
if(u==v) return;
dsu[u] = v;
}
void dfs(int u, int p, int no = -1){
for(auto v : adj[u]){
if(v==p) continue;
dfs(v,u,no);
dp[u][0] += max(dp[v][0],dp[v][1]);
dp2[u][0] += max(dp2[v][0],dp2[v][1]);
}
for(auto v : adj[u]){
if(v==p) continue;
dp[u][1] = max(dp[u][1],dp[u][0]-max(dp[v][0],dp[v][1])+dp[v][0]+1);
if(v!=no) dp2[u][1] = max(dp2[u][1],dp2[u][0]-max(dp2[v][0],dp2[v][1])+dp2[v][0]+1);
}
if(u==no) dp2[u][1] = -1e18;
}
int idx;
map<string,int> m;
int assign(string x){
if(m.find(x)==m.end()){
m[x] = idx++;
}
return m[x];
}
signed main(){
fastio
iota(dsu,dsu+N,0);
int n;
cin >> n;
vector<pair<int,int>> edges;
for(int i = 0;i < n;i++){
string a,b;
cin >> a >> b;
int x = assign(a);
int y = assign(b);
arr[x] = y;
if(find(x)!=find(y)) unite(x,y), adj[x].push_back(y), adj[y].push_back(x);
else edges.push_back({y,x});
}
if(n%2){
cout << -1 << "\n";
return 0;
}
int ans = n;
for(auto [x,y] : edges){
dfs(x,x,y);
if(x!=y) ans -= max({dp[x][0],dp[x][1],dp2[x][0]+(arr[x]==y && arr[y]==x ? 2 : 1)});
else ans -= max(dp[x][0],dp[x][1]);
}
cout << ans << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3404 KB |
Output is correct |
2 |
Correct |
2 ms |
3404 KB |
Output is correct |
3 |
Correct |
1 ms |
3404 KB |
Output is correct |
4 |
Correct |
2 ms |
3404 KB |
Output is correct |
5 |
Correct |
2 ms |
3404 KB |
Output is correct |
6 |
Correct |
1 ms |
3404 KB |
Output is correct |
7 |
Correct |
2 ms |
3404 KB |
Output is correct |
8 |
Correct |
2 ms |
3404 KB |
Output is correct |
9 |
Correct |
2 ms |
3404 KB |
Output is correct |
10 |
Correct |
2 ms |
3404 KB |
Output is correct |
11 |
Correct |
2 ms |
3452 KB |
Output is correct |
12 |
Correct |
2 ms |
3404 KB |
Output is correct |
13 |
Correct |
2 ms |
3456 KB |
Output is correct |
14 |
Correct |
2 ms |
3404 KB |
Output is correct |
15 |
Correct |
2 ms |
3452 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3404 KB |
Output is correct |
2 |
Correct |
2 ms |
3404 KB |
Output is correct |
3 |
Correct |
2 ms |
3404 KB |
Output is correct |
4 |
Correct |
248 ms |
26596 KB |
Output is correct |
5 |
Correct |
210 ms |
18492 KB |
Output is correct |
6 |
Correct |
238 ms |
27572 KB |
Output is correct |
7 |
Correct |
209 ms |
15132 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
223 ms |
18696 KB |
Output is correct |
2 |
Correct |
239 ms |
20508 KB |
Output is correct |
3 |
Correct |
156 ms |
15168 KB |
Output is correct |
4 |
Correct |
194 ms |
15772 KB |
Output is correct |
5 |
Correct |
224 ms |
26952 KB |
Output is correct |
6 |
Correct |
217 ms |
18920 KB |
Output is correct |
7 |
Correct |
212 ms |
18804 KB |
Output is correct |
8 |
Correct |
182 ms |
18304 KB |
Output is correct |
9 |
Correct |
214 ms |
19060 KB |
Output is correct |
10 |
Correct |
147 ms |
16016 KB |
Output is correct |
11 |
Correct |
2 ms |
3404 KB |
Output is correct |
12 |
Correct |
2 ms |
3404 KB |
Output is correct |
13 |
Correct |
2 ms |
3360 KB |
Output is correct |
14 |
Correct |
2 ms |
3404 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3404 KB |
Output is correct |
2 |
Correct |
2 ms |
3404 KB |
Output is correct |
3 |
Correct |
1 ms |
3404 KB |
Output is correct |
4 |
Correct |
2 ms |
3404 KB |
Output is correct |
5 |
Correct |
2 ms |
3404 KB |
Output is correct |
6 |
Correct |
1 ms |
3404 KB |
Output is correct |
7 |
Correct |
2 ms |
3404 KB |
Output is correct |
8 |
Correct |
2 ms |
3404 KB |
Output is correct |
9 |
Correct |
2 ms |
3404 KB |
Output is correct |
10 |
Correct |
2 ms |
3404 KB |
Output is correct |
11 |
Correct |
2 ms |
3452 KB |
Output is correct |
12 |
Correct |
2 ms |
3404 KB |
Output is correct |
13 |
Correct |
2 ms |
3456 KB |
Output is correct |
14 |
Correct |
2 ms |
3404 KB |
Output is correct |
15 |
Correct |
2 ms |
3452 KB |
Output is correct |
16 |
Correct |
2 ms |
3404 KB |
Output is correct |
17 |
Correct |
2 ms |
3404 KB |
Output is correct |
18 |
Correct |
2 ms |
3404 KB |
Output is correct |
19 |
Correct |
248 ms |
26596 KB |
Output is correct |
20 |
Correct |
210 ms |
18492 KB |
Output is correct |
21 |
Correct |
238 ms |
27572 KB |
Output is correct |
22 |
Correct |
209 ms |
15132 KB |
Output is correct |
23 |
Correct |
223 ms |
18696 KB |
Output is correct |
24 |
Correct |
239 ms |
20508 KB |
Output is correct |
25 |
Correct |
156 ms |
15168 KB |
Output is correct |
26 |
Correct |
194 ms |
15772 KB |
Output is correct |
27 |
Correct |
224 ms |
26952 KB |
Output is correct |
28 |
Correct |
217 ms |
18920 KB |
Output is correct |
29 |
Correct |
212 ms |
18804 KB |
Output is correct |
30 |
Correct |
182 ms |
18304 KB |
Output is correct |
31 |
Correct |
214 ms |
19060 KB |
Output is correct |
32 |
Correct |
147 ms |
16016 KB |
Output is correct |
33 |
Correct |
2 ms |
3404 KB |
Output is correct |
34 |
Correct |
2 ms |
3404 KB |
Output is correct |
35 |
Correct |
2 ms |
3360 KB |
Output is correct |
36 |
Correct |
2 ms |
3404 KB |
Output is correct |
37 |
Correct |
248 ms |
20688 KB |
Output is correct |
38 |
Correct |
231 ms |
22636 KB |
Output is correct |
39 |
Correct |
207 ms |
20928 KB |
Output is correct |
40 |
Correct |
211 ms |
21032 KB |
Output is correct |
41 |
Correct |
222 ms |
21112 KB |
Output is correct |
42 |
Correct |
227 ms |
20916 KB |
Output is correct |
43 |
Correct |
215 ms |
20960 KB |
Output is correct |
44 |
Correct |
229 ms |
21100 KB |
Output is correct |
45 |
Correct |
241 ms |
20968 KB |
Output is correct |
46 |
Correct |
219 ms |
21016 KB |
Output is correct |
47 |
Correct |
194 ms |
21332 KB |
Output is correct |
48 |
Correct |
231 ms |
20832 KB |
Output is correct |
49 |
Correct |
222 ms |
22724 KB |
Output is correct |
50 |
Correct |
139 ms |
17236 KB |
Output is correct |
51 |
Correct |
208 ms |
17988 KB |
Output is correct |
52 |
Correct |
227 ms |
29000 KB |
Output is correct |
53 |
Correct |
219 ms |
21060 KB |
Output is correct |
54 |
Correct |
219 ms |
21028 KB |
Output is correct |
55 |
Correct |
179 ms |
20408 KB |
Output is correct |
56 |
Correct |
206 ms |
21188 KB |
Output is correct |
57 |
Correct |
140 ms |
18104 KB |
Output is correct |
58 |
Correct |
2 ms |
3404 KB |
Output is correct |
59 |
Correct |
2 ms |
3404 KB |
Output is correct |
60 |
Correct |
2 ms |
3404 KB |
Output is correct |
61 |
Correct |
2 ms |
3404 KB |
Output is correct |
62 |
Correct |
2 ms |
3404 KB |
Output is correct |
63 |
Correct |
2 ms |
3404 KB |
Output is correct |
64 |
Correct |
2 ms |
3448 KB |
Output is correct |
65 |
Correct |
233 ms |
28544 KB |
Output is correct |
66 |
Correct |
211 ms |
20600 KB |
Output is correct |
67 |
Correct |
238 ms |
29788 KB |
Output is correct |
68 |
Correct |
202 ms |
17252 KB |
Output is correct |
69 |
Correct |
2 ms |
3404 KB |
Output is correct |
70 |
Correct |
2 ms |
3404 KB |
Output is correct |
71 |
Correct |
2 ms |
3404 KB |
Output is correct |
72 |
Correct |
2 ms |
3404 KB |
Output is correct |
73 |
Correct |
2 ms |
3404 KB |
Output is correct |
74 |
Correct |
2 ms |
3404 KB |
Output is correct |
75 |
Correct |
2 ms |
3404 KB |
Output is correct |
76 |
Correct |
2 ms |
3404 KB |
Output is correct |
77 |
Correct |
2 ms |
3404 KB |
Output is correct |
78 |
Correct |
3 ms |
3404 KB |
Output is correct |
79 |
Correct |
2 ms |
3452 KB |
Output is correct |
80 |
Correct |
2 ms |
3404 KB |
Output is correct |
81 |
Correct |
2 ms |
3404 KB |
Output is correct |
82 |
Correct |
2 ms |
3404 KB |
Output is correct |
83 |
Correct |
2 ms |
3404 KB |
Output is correct |