#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")
using namespace std;
map <string, int> cod;
string s1, s2;
vector <int> fii[100001];
int urm[100001], next_cyc[100001];
bool viz[100001], verif[100001], done[100001];
int dp[100001][2], dp2[100001][2];
void dfs(int nod)
{
for(auto it:fii[nod])
dfs(it);
int max1 = -1e9;
for(auto it:fii[nod])
{
dp[nod][0] += max(dp[it][0], dp[it][1]);
dp[nod][1] += max(dp[it][0], dp[it][1]);
max1 = max(max1, dp[it][0] - max(dp[it][0], dp[it][1]));
}
if(fii[nod].size())
dp[nod][1] += 1 + max1;
}
int main()
{
#ifdef HOME
freopen("test.in", "r", stdin);
freopen("test.out", "w", stdout);
#endif // HOME
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n, cnt = 0;
cin >> n;
for(int i = 1; i <= n; i++)
{
cin >> s1 >> s2;
if(!cod[s1])
cod[s1] = ++cnt;
if(!cod[s2])
cod[s2] = ++cnt;
urm[cod[s1]] = cod[s2];
}
if(n % 2)
{
cout << -1;
return 0;
}
for(int i = 1; i <= n; i++)
if(!viz[i])
{
int x = i;
do{
viz[x] = 1;
x = urm[x];
}while(!viz[x]);
if(verif[x] || next_cyc[x])
{
int x = i;
while(!verif[x] && !next_cyc[x])
{
verif[x] = 1;
x = urm[x];
}
}
else if(!next_cyc[x])
{
int cx = x;
do{
next_cyc[x] = urm[x];
x = urm[x];
}while(x != cx);
int x = i;
while(!next_cyc[x])
{
verif[x] = 1;
x = urm[x];
}
}
}
for(int i = 1; i <= n; i++)
if(!next_cyc[i])
fii[urm[i]].push_back(i);
for(int i = 1; i <= n; i++)
if(next_cyc[i])
dfs(i);
int rez = 0;
for(int i = 1; i <= n; i++)
if(next_cyc[i] && !done[i])
{
if(next_cyc[i] == i)
{
done[i] = 1;
rez += max(dp[i][0], dp[i][1]);
continue;
}
int max1;
///leg i si urm[i]
if(urm[urm[i]] == i)
max1 = dp[i][0] + dp[urm[i]][0] + 2;
else
{
dp2[urm[urm[i]]][0] = dp[urm[urm[i]]][0];
dp2[urm[urm[i]]][1] = dp[urm[urm[i]]][1];
for(int j = urm[urm[i]]; j != i; j = urm[j])
{
dp2[urm[j]][0] = dp[urm[j]][0] + max(dp2[j][0], dp2[j][1]);
dp2[urm[j]][1] = max(dp[urm[j]][1] + max(dp2[j][0], dp2[j][1]), dp[urm[j]][0] + dp2[j][0] + 1);
}
max1 = dp2[i][0] + dp[urm[i]][0] + 1;
}
///nu ii leg
dp2[urm[i]][0] = dp[urm[i]][0];
dp2[urm[i]][1] = dp[urm[i]][1];
for(int j = urm[i]; j != i; j = urm[j])
{
dp2[urm[j]][0] = dp[urm[j]][0] + max(dp2[j][0], dp2[j][1]);
dp2[urm[j]][1] = max(dp[urm[j]][1] + max(dp2[j][0], dp2[j][1]), dp[urm[j]][0] + dp2[j][0] + 1);
}
if(urm[urm[i]] != i)
rez += max(max1, max(dp2[i][0], dp2[i][1]));
else
rez += max(max1, max(dp[i][0], dp[i][1]) + max(dp[urm[i]][0], dp[urm[i]][1]));
int x = i;
while(!done[x])
{
done[x] = 1;
x = urm[x];
}
}
cout << n - rez;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
1 ms |
2608 KB |
Output is correct |
4 |
Correct |
1 ms |
2644 KB |
Output is correct |
5 |
Correct |
1 ms |
2644 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
1 ms |
2644 KB |
Output is correct |
9 |
Correct |
1 ms |
2644 KB |
Output is correct |
10 |
Correct |
2 ms |
2644 KB |
Output is correct |
11 |
Correct |
2 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2644 KB |
Output is correct |
13 |
Correct |
2 ms |
2644 KB |
Output is correct |
14 |
Correct |
1 ms |
2644 KB |
Output is correct |
15 |
Correct |
2 ms |
2644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
1 ms |
2644 KB |
Output is correct |
4 |
Correct |
175 ms |
12208 KB |
Output is correct |
5 |
Correct |
196 ms |
12488 KB |
Output is correct |
6 |
Correct |
183 ms |
12164 KB |
Output is correct |
7 |
Correct |
150 ms |
10828 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
171 ms |
14648 KB |
Output is correct |
2 |
Correct |
207 ms |
15508 KB |
Output is correct |
3 |
Correct |
147 ms |
11420 KB |
Output is correct |
4 |
Correct |
153 ms |
10772 KB |
Output is correct |
5 |
Correct |
190 ms |
19380 KB |
Output is correct |
6 |
Correct |
163 ms |
13404 KB |
Output is correct |
7 |
Correct |
166 ms |
13872 KB |
Output is correct |
8 |
Correct |
200 ms |
13456 KB |
Output is correct |
9 |
Correct |
155 ms |
12956 KB |
Output is correct |
10 |
Correct |
126 ms |
11624 KB |
Output is correct |
11 |
Correct |
1 ms |
2644 KB |
Output is correct |
12 |
Correct |
1 ms |
2644 KB |
Output is correct |
13 |
Correct |
1 ms |
2644 KB |
Output is correct |
14 |
Correct |
2 ms |
2644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
1 ms |
2608 KB |
Output is correct |
4 |
Correct |
1 ms |
2644 KB |
Output is correct |
5 |
Correct |
1 ms |
2644 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
1 ms |
2644 KB |
Output is correct |
9 |
Correct |
1 ms |
2644 KB |
Output is correct |
10 |
Correct |
2 ms |
2644 KB |
Output is correct |
11 |
Correct |
2 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2644 KB |
Output is correct |
13 |
Correct |
2 ms |
2644 KB |
Output is correct |
14 |
Correct |
1 ms |
2644 KB |
Output is correct |
15 |
Correct |
2 ms |
2644 KB |
Output is correct |
16 |
Correct |
2 ms |
2644 KB |
Output is correct |
17 |
Correct |
1 ms |
2644 KB |
Output is correct |
18 |
Correct |
1 ms |
2644 KB |
Output is correct |
19 |
Correct |
175 ms |
12208 KB |
Output is correct |
20 |
Correct |
196 ms |
12488 KB |
Output is correct |
21 |
Correct |
183 ms |
12164 KB |
Output is correct |
22 |
Correct |
150 ms |
10828 KB |
Output is correct |
23 |
Correct |
171 ms |
14648 KB |
Output is correct |
24 |
Correct |
207 ms |
15508 KB |
Output is correct |
25 |
Correct |
147 ms |
11420 KB |
Output is correct |
26 |
Correct |
153 ms |
10772 KB |
Output is correct |
27 |
Correct |
190 ms |
19380 KB |
Output is correct |
28 |
Correct |
163 ms |
13404 KB |
Output is correct |
29 |
Correct |
166 ms |
13872 KB |
Output is correct |
30 |
Correct |
200 ms |
13456 KB |
Output is correct |
31 |
Correct |
155 ms |
12956 KB |
Output is correct |
32 |
Correct |
126 ms |
11624 KB |
Output is correct |
33 |
Correct |
1 ms |
2644 KB |
Output is correct |
34 |
Correct |
1 ms |
2644 KB |
Output is correct |
35 |
Correct |
1 ms |
2644 KB |
Output is correct |
36 |
Correct |
2 ms |
2644 KB |
Output is correct |
37 |
Correct |
179 ms |
15912 KB |
Output is correct |
38 |
Correct |
185 ms |
14492 KB |
Output is correct |
39 |
Correct |
174 ms |
14456 KB |
Output is correct |
40 |
Correct |
166 ms |
13900 KB |
Output is correct |
41 |
Correct |
172 ms |
13832 KB |
Output is correct |
42 |
Correct |
195 ms |
14776 KB |
Output is correct |
43 |
Correct |
171 ms |
14796 KB |
Output is correct |
44 |
Correct |
173 ms |
14972 KB |
Output is correct |
45 |
Correct |
170 ms |
14776 KB |
Output is correct |
46 |
Correct |
166 ms |
14912 KB |
Output is correct |
47 |
Correct |
155 ms |
13612 KB |
Output is correct |
48 |
Correct |
171 ms |
14592 KB |
Output is correct |
49 |
Correct |
192 ms |
15472 KB |
Output is correct |
50 |
Correct |
138 ms |
11464 KB |
Output is correct |
51 |
Correct |
151 ms |
10848 KB |
Output is correct |
52 |
Correct |
178 ms |
19408 KB |
Output is correct |
53 |
Correct |
182 ms |
13476 KB |
Output is correct |
54 |
Correct |
166 ms |
13856 KB |
Output is correct |
55 |
Correct |
158 ms |
13472 KB |
Output is correct |
56 |
Correct |
165 ms |
12956 KB |
Output is correct |
57 |
Correct |
129 ms |
11760 KB |
Output is correct |
58 |
Correct |
2 ms |
2644 KB |
Output is correct |
59 |
Correct |
1 ms |
2644 KB |
Output is correct |
60 |
Correct |
1 ms |
2644 KB |
Output is correct |
61 |
Correct |
2 ms |
2644 KB |
Output is correct |
62 |
Correct |
1 ms |
2644 KB |
Output is correct |
63 |
Correct |
1 ms |
2644 KB |
Output is correct |
64 |
Correct |
2 ms |
2644 KB |
Output is correct |
65 |
Correct |
173 ms |
12236 KB |
Output is correct |
66 |
Correct |
159 ms |
12236 KB |
Output is correct |
67 |
Correct |
161 ms |
12128 KB |
Output is correct |
68 |
Correct |
181 ms |
10872 KB |
Output is correct |
69 |
Correct |
1 ms |
2644 KB |
Output is correct |
70 |
Correct |
1 ms |
2644 KB |
Output is correct |
71 |
Correct |
1 ms |
2644 KB |
Output is correct |
72 |
Correct |
1 ms |
2644 KB |
Output is correct |
73 |
Correct |
1 ms |
2644 KB |
Output is correct |
74 |
Correct |
1 ms |
2644 KB |
Output is correct |
75 |
Correct |
1 ms |
2644 KB |
Output is correct |
76 |
Correct |
1 ms |
2644 KB |
Output is correct |
77 |
Correct |
2 ms |
2644 KB |
Output is correct |
78 |
Correct |
1 ms |
2644 KB |
Output is correct |
79 |
Correct |
1 ms |
2644 KB |
Output is correct |
80 |
Correct |
1 ms |
2644 KB |
Output is correct |
81 |
Correct |
1 ms |
2644 KB |
Output is correct |
82 |
Correct |
1 ms |
2644 KB |
Output is correct |
83 |
Correct |
2 ms |
2644 KB |
Output is correct |