#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
#define MAX 100005
int numNode;
vector<int> G[MAX];
//dp(u, me, pa, root, special)
int vis[MAX];
int special = -1, root = -1;
int dp[MAX][2][2][2][2];
bool bad(int u, int self, int pa, int rt, int sc){
if (u == root && self != rt) return true;
if (u == special && self != sc) return true;
if (u == special && (pa & rt) == 1) return true;
return false;
}
struct Dsu{
int n;
vector<int> par, sz;
Dsu(int _n = 0){
this -> n = _n;
par.resize(n + 5);
sz.resize(n + 5, 1);
iota(par.begin(), par.end(), 0ll);
}
int find(int u){
return u == par[u] ? u : par[u] = find(par[u]);
}
bool unite(int u, int v){
u = find(u), v = find(v);
if (u == v) return 0;
if (sz[u] < sz[v]) swap(u, v);
sz[u] += sz[v];
par[v] = u;
return 1;
}
};
int F(int u, int p, int self, int pa, int rt, int sc){
int &ret = dp[u][self][pa][rt][sc];
if(~ret) return ret;
ret = INF;
if (bad(u, self, pa, rt, sc)) {
return ret;
}
bool must = 0;
must |= pa;
must |= (u == special && rt == 1);
must |= (u == root && sc == 1);
int sm = 0;
if (self) ++sm;
for (int&v : G[u]) if(v ^ p){
sm += F(v, u, 0, self, rt, sc);
}
if (must){
minimize(ret, sm);
}
if (!must){
for (int &v : G[u]) if(v ^ p){
int cur = sm - F(v, u, 0, self, rt, sc) + F(v, u, 1, self, rt, sc);
minimize(ret, cur);
}
}
if (ret > INF) ret = INF;
return ret;
}
void process(void){
cin >> numNode;
Dsu dsu(numNode);
for (int i = 1; i <= numNode; ++i){
int u, v; cin >> u >> v;
if(!dsu.unite(u, v)){
special = u, root = v;
continue;
}
G[u].emplace_back(v);
G[v].emplace_back(u);
}
int ans = INF;
REP(i, 2) REP(j, 2){
memset(dp, -1, sizeof dp);
minimize(ans, F(root, 0, i, 0, i, j));
}
if(ans == INF) ans = -1;
cout << ans;
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
15960 KB |
Output is correct |
2 |
Correct |
3 ms |
15964 KB |
Output is correct |
3 |
Correct |
3 ms |
15964 KB |
Output is correct |
4 |
Correct |
3 ms |
15964 KB |
Output is correct |
5 |
Correct |
82 ms |
32924 KB |
Output is correct |
6 |
Correct |
78 ms |
32852 KB |
Output is correct |
7 |
Correct |
96 ms |
32928 KB |
Output is correct |
8 |
Correct |
81 ms |
32920 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
15964 KB |
Output is correct |
2 |
Correct |
3 ms |
15964 KB |
Output is correct |
3 |
Correct |
3 ms |
15960 KB |
Output is correct |
4 |
Correct |
3 ms |
15960 KB |
Output is correct |
5 |
Correct |
4 ms |
15964 KB |
Output is correct |
6 |
Correct |
3 ms |
15964 KB |
Output is correct |
7 |
Correct |
3 ms |
15964 KB |
Output is correct |
8 |
Correct |
3 ms |
15960 KB |
Output is correct |
9 |
Correct |
3 ms |
15960 KB |
Output is correct |
10 |
Correct |
3 ms |
15964 KB |
Output is correct |
11 |
Correct |
3 ms |
15964 KB |
Output is correct |
12 |
Correct |
3 ms |
15964 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
15964 KB |
Output is correct |
2 |
Correct |
3 ms |
15964 KB |
Output is correct |
3 |
Correct |
3 ms |
15960 KB |
Output is correct |
4 |
Correct |
3 ms |
15960 KB |
Output is correct |
5 |
Correct |
4 ms |
15964 KB |
Output is correct |
6 |
Correct |
3 ms |
15964 KB |
Output is correct |
7 |
Correct |
3 ms |
15964 KB |
Output is correct |
8 |
Correct |
3 ms |
15960 KB |
Output is correct |
9 |
Correct |
3 ms |
15960 KB |
Output is correct |
10 |
Correct |
3 ms |
15964 KB |
Output is correct |
11 |
Correct |
3 ms |
15964 KB |
Output is correct |
12 |
Correct |
3 ms |
15964 KB |
Output is correct |
13 |
Correct |
4 ms |
15964 KB |
Output is correct |
14 |
Correct |
4 ms |
15964 KB |
Output is correct |
15 |
Correct |
3 ms |
15964 KB |
Output is correct |
16 |
Correct |
4 ms |
15924 KB |
Output is correct |
17 |
Correct |
3 ms |
15960 KB |
Output is correct |
18 |
Correct |
4 ms |
15960 KB |
Output is correct |
19 |
Correct |
3 ms |
15964 KB |
Output is correct |
20 |
Correct |
4 ms |
15964 KB |
Output is correct |
21 |
Correct |
4 ms |
15960 KB |
Output is correct |
22 |
Correct |
4 ms |
15964 KB |
Output is correct |
23 |
Correct |
4 ms |
16220 KB |
Output is correct |
24 |
Correct |
3 ms |
16220 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
15960 KB |
Output is correct |
2 |
Correct |
3 ms |
15964 KB |
Output is correct |
3 |
Correct |
3 ms |
15964 KB |
Output is correct |
4 |
Correct |
3 ms |
15964 KB |
Output is correct |
5 |
Correct |
82 ms |
32924 KB |
Output is correct |
6 |
Correct |
78 ms |
32852 KB |
Output is correct |
7 |
Correct |
96 ms |
32928 KB |
Output is correct |
8 |
Correct |
81 ms |
32920 KB |
Output is correct |
9 |
Correct |
3 ms |
15964 KB |
Output is correct |
10 |
Correct |
3 ms |
15964 KB |
Output is correct |
11 |
Correct |
3 ms |
15960 KB |
Output is correct |
12 |
Correct |
3 ms |
15960 KB |
Output is correct |
13 |
Correct |
4 ms |
15964 KB |
Output is correct |
14 |
Correct |
3 ms |
15964 KB |
Output is correct |
15 |
Correct |
3 ms |
15964 KB |
Output is correct |
16 |
Correct |
3 ms |
15960 KB |
Output is correct |
17 |
Correct |
3 ms |
15960 KB |
Output is correct |
18 |
Correct |
3 ms |
15964 KB |
Output is correct |
19 |
Correct |
3 ms |
15964 KB |
Output is correct |
20 |
Correct |
3 ms |
15964 KB |
Output is correct |
21 |
Correct |
4 ms |
15964 KB |
Output is correct |
22 |
Correct |
4 ms |
15964 KB |
Output is correct |
23 |
Correct |
3 ms |
15964 KB |
Output is correct |
24 |
Correct |
4 ms |
15924 KB |
Output is correct |
25 |
Correct |
3 ms |
15960 KB |
Output is correct |
26 |
Correct |
4 ms |
15960 KB |
Output is correct |
27 |
Correct |
3 ms |
15964 KB |
Output is correct |
28 |
Correct |
4 ms |
15964 KB |
Output is correct |
29 |
Correct |
4 ms |
15960 KB |
Output is correct |
30 |
Correct |
4 ms |
15964 KB |
Output is correct |
31 |
Correct |
4 ms |
16220 KB |
Output is correct |
32 |
Correct |
3 ms |
16220 KB |
Output is correct |
33 |
Correct |
60 ms |
21596 KB |
Output is correct |
34 |
Correct |
56 ms |
21584 KB |
Output is correct |
35 |
Correct |
72 ms |
21588 KB |
Output is correct |
36 |
Correct |
58 ms |
21780 KB |
Output is correct |
37 |
Correct |
16 ms |
17496 KB |
Output is correct |
38 |
Correct |
59 ms |
21884 KB |
Output is correct |
39 |
Correct |
9 ms |
16476 KB |
Output is correct |
40 |
Correct |
61 ms |
21596 KB |
Output is correct |
41 |
Correct |
32 ms |
22480 KB |
Output is correct |
42 |
Correct |
33 ms |
22604 KB |
Output is correct |
43 |
Correct |
87 ms |
32804 KB |
Output is correct |
44 |
Correct |
48 ms |
27712 KB |
Output is correct |