# include <bits/stdc++.h>
using namespace std;
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python!
// pairs
using pii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
#define mp make_pair
#define f first
#define s second
#define tcT template<class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pii>;
using vpl = V<pl>;
using vpd = V<pd>;
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk back()
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define rep(a) F0R(_,a)
#define each(a,x) for (auto& a: x)
const int MOD = 998244353;
const int MX = 2e5+5;
const ll BIG = 1e18; // not too close to LLONG_MAX
const db PI = acos((db)-1);
const int dx[4]{1,0,-1,0}, dy[4]{0,1,0,-1}; // for every grid problem!!
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> using pqg = priority_queue<T,vector<T>,greater<T>>;
struct DSU {
vi e; void init(int N) { e = vi(N,-1); }
int get(int x) { return e[x] < 0 ? x : e[x] = get(e[x]); }
bool sameSet(int a, int b) { return get(a) == get(b); }
int size(int x) { return -e[get(x)]; }
bool unite(int x, int y) { // union by size
x = get(x), y = get(y); if (x == y) return 0;
if (e[x] > e[y]) swap(x,y);
e[x] += e[y]; e[y] = x; return 1;
}
};
/*
inline namespace Helpers {
//////////// is_iterable
// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
// this gets used only when we can call begin() and end() on that type
tcT, class = void> struct is_iterable : false_type {};
tcT> struct is_iterable<T, void_t<decltype(begin(declval<T>())),
decltype(end(declval<T>()))
>
> : true_type {};
tcT> constexpr bool is_iterable_v = is_iterable<T>::value;
//////////// is_readable
tcT, class = void> struct is_readable : false_type {};
tcT> struct is_readable<T,
typename std::enable_if_t<
is_same_v<decltype(cin >> declval<T&>()), istream&>
>
> : true_type {};
tcT> constexpr bool is_readable_v = is_readable<T>::value;
//////////// is_printable
// // https://nafe.es/posts/2020-02-29-is-printable/
tcT, class = void> struct is_printable : false_type {};
tcT> struct is_printable<T,
typename std::enable_if_t<
is_same_v<decltype(cout << declval<T>()), ostream&>
>
> : true_type {};
tcT> constexpr bool is_printable_v = is_printable<T>::value;
}*/
#define f first
#define s second
#define pb push_back
#define int long long
const int N = 3e5 + 5, inf = 1e9;
int t,n,a[N],fix[N],par[N],root,special,b[N];
vector <int> v[N];
int dp[N][2][2][2][2];
void dfs(int a, int p) {
fix[a] = 1;
for (int i = 0; i < (int)v[a].size(); i++){
int to = v[a][i];
if (to == p) continue;
if (fix[to]) {
root = a;
special = to;
}
else
dfs(to,a);
}
}
void dfs1(int a, int p) {
par[a] = p;
for (int i = 0; i < (int)v[a].size(); i++) {
int to = v[a][i];
if (to == p) continue;
dfs1(to,a);
}
}
void dfs2(int a, int p, int me, int up, int rt, int sp) {
if (dp[a][me][up][rt][sp] != -1) return ;
if ((a == special && me != sp) || (a == root && me != rt) || (p == root && up != rt) || (p == special && up != sp) || (a == special && up && rt)) {
dp[a][me][up][rt][sp] = inf;
return ;
}
int ff = 0;
if (a != root) {
if(up == 1) ff = 1;
if (a == special && rt) ff = 1;
}
else if (sp) ff = 1;
int dif = 1e9, sum = 0;
for (int i = 0; i < (int)v[a].size(); i++) {
int to = v[a][i];
if (to == p) continue;
dfs2(to,a,0,me,rt,sp);
dfs2(to,a,1,me,rt,sp);
sum += dp[to][0][me][rt][sp];
dif = min(dif, dp[to][1][me][rt][sp] - dp[to][0][me][rt][sp]);
}
dp[a][me][up][rt][sp] = (ff == 1 ? sum + me : sum + dif + me);
}
main() {
std::ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
cin>>n;
for (int i = 1; i <= n; i++) {
cin>>a[i]>>b[i];
v[a[i]].pb(b[i]);
v[b[i]].pb(a[i]);
}
dfs(1,0);
for (int i = 1; i <= n; i++) v[i].clear();
for (int i = 1; i <= n; i++) {
if (min(a[i],b[i]) == min(root,special) && max(a[i],b[i]) == max(root,special)) {}
else v[a[i]].pb(b[i]), v[b[i]].pb(a[i]);
}
for (int i = 1; i <= n; i++) {
for (int j = 0; j <= 1; j++) {
for (int jj = 0; jj <= 1; jj++) {
for (int ii = 0; ii <= 1; ii++) {
dp[i][j][jj][ii][0] = dp[i][j][jj][ii][1] = -1;
}
}
}
}
int ans = inf;
dfs1(root,0);
for (int rt = 0; rt <= 1; rt++) {
for (int sp = 0; sp <= 1; sp++) {
dfs2(root,0,rt,0,rt,sp);
ans = min(ans,dp[root][rt][0][rt][sp]);
}
}
cout<<(ans > n ? -1 : ans)<<endl;
}
Compilation message
Main.cpp:152:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
152 | main() {
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7380 KB |
Output is correct |
3 |
Correct |
5 ms |
7336 KB |
Output is correct |
4 |
Correct |
4 ms |
7408 KB |
Output is correct |
5 |
Correct |
204 ms |
40252 KB |
Output is correct |
6 |
Correct |
215 ms |
40252 KB |
Output is correct |
7 |
Correct |
229 ms |
40260 KB |
Output is correct |
8 |
Correct |
207 ms |
40256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7364 KB |
Output is correct |
3 |
Correct |
4 ms |
7380 KB |
Output is correct |
4 |
Correct |
5 ms |
7388 KB |
Output is correct |
5 |
Correct |
5 ms |
7352 KB |
Output is correct |
6 |
Correct |
4 ms |
7380 KB |
Output is correct |
7 |
Correct |
4 ms |
7508 KB |
Output is correct |
8 |
Correct |
6 ms |
7380 KB |
Output is correct |
9 |
Correct |
5 ms |
7388 KB |
Output is correct |
10 |
Correct |
4 ms |
7380 KB |
Output is correct |
11 |
Correct |
5 ms |
7380 KB |
Output is correct |
12 |
Correct |
4 ms |
7384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7364 KB |
Output is correct |
3 |
Correct |
4 ms |
7380 KB |
Output is correct |
4 |
Correct |
5 ms |
7388 KB |
Output is correct |
5 |
Correct |
5 ms |
7352 KB |
Output is correct |
6 |
Correct |
4 ms |
7380 KB |
Output is correct |
7 |
Correct |
4 ms |
7508 KB |
Output is correct |
8 |
Correct |
6 ms |
7380 KB |
Output is correct |
9 |
Correct |
5 ms |
7388 KB |
Output is correct |
10 |
Correct |
4 ms |
7380 KB |
Output is correct |
11 |
Correct |
5 ms |
7380 KB |
Output is correct |
12 |
Correct |
4 ms |
7384 KB |
Output is correct |
13 |
Correct |
4 ms |
7508 KB |
Output is correct |
14 |
Correct |
4 ms |
7584 KB |
Output is correct |
15 |
Correct |
5 ms |
7508 KB |
Output is correct |
16 |
Correct |
5 ms |
7508 KB |
Output is correct |
17 |
Correct |
4 ms |
7356 KB |
Output is correct |
18 |
Correct |
5 ms |
7508 KB |
Output is correct |
19 |
Correct |
4 ms |
7380 KB |
Output is correct |
20 |
Correct |
5 ms |
7516 KB |
Output is correct |
21 |
Correct |
4 ms |
7508 KB |
Output is correct |
22 |
Correct |
4 ms |
7524 KB |
Output is correct |
23 |
Correct |
5 ms |
7636 KB |
Output is correct |
24 |
Correct |
4 ms |
7636 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7380 KB |
Output is correct |
3 |
Correct |
5 ms |
7336 KB |
Output is correct |
4 |
Correct |
4 ms |
7408 KB |
Output is correct |
5 |
Correct |
204 ms |
40252 KB |
Output is correct |
6 |
Correct |
215 ms |
40252 KB |
Output is correct |
7 |
Correct |
229 ms |
40260 KB |
Output is correct |
8 |
Correct |
207 ms |
40256 KB |
Output is correct |
9 |
Correct |
3 ms |
7380 KB |
Output is correct |
10 |
Correct |
4 ms |
7364 KB |
Output is correct |
11 |
Correct |
4 ms |
7380 KB |
Output is correct |
12 |
Correct |
5 ms |
7388 KB |
Output is correct |
13 |
Correct |
5 ms |
7352 KB |
Output is correct |
14 |
Correct |
4 ms |
7380 KB |
Output is correct |
15 |
Correct |
4 ms |
7508 KB |
Output is correct |
16 |
Correct |
6 ms |
7380 KB |
Output is correct |
17 |
Correct |
5 ms |
7388 KB |
Output is correct |
18 |
Correct |
4 ms |
7380 KB |
Output is correct |
19 |
Correct |
5 ms |
7380 KB |
Output is correct |
20 |
Correct |
4 ms |
7384 KB |
Output is correct |
21 |
Correct |
4 ms |
7508 KB |
Output is correct |
22 |
Correct |
4 ms |
7584 KB |
Output is correct |
23 |
Correct |
5 ms |
7508 KB |
Output is correct |
24 |
Correct |
5 ms |
7508 KB |
Output is correct |
25 |
Correct |
4 ms |
7356 KB |
Output is correct |
26 |
Correct |
5 ms |
7508 KB |
Output is correct |
27 |
Correct |
4 ms |
7380 KB |
Output is correct |
28 |
Correct |
5 ms |
7516 KB |
Output is correct |
29 |
Correct |
4 ms |
7508 KB |
Output is correct |
30 |
Correct |
4 ms |
7524 KB |
Output is correct |
31 |
Correct |
5 ms |
7636 KB |
Output is correct |
32 |
Correct |
4 ms |
7636 KB |
Output is correct |
33 |
Correct |
121 ms |
25748 KB |
Output is correct |
34 |
Correct |
121 ms |
25720 KB |
Output is correct |
35 |
Correct |
161 ms |
25752 KB |
Output is correct |
36 |
Correct |
119 ms |
25672 KB |
Output is correct |
37 |
Correct |
26 ms |
11928 KB |
Output is correct |
38 |
Correct |
124 ms |
25652 KB |
Output is correct |
39 |
Correct |
11 ms |
8936 KB |
Output is correct |
40 |
Correct |
120 ms |
25292 KB |
Output is correct |
41 |
Correct |
77 ms |
28044 KB |
Output is correct |
42 |
Correct |
113 ms |
28124 KB |
Output is correct |
43 |
Correct |
215 ms |
41336 KB |
Output is correct |
44 |
Correct |
144 ms |
34732 KB |
Output is correct |