// Source: https://oj.uz/problem/view/IZhO17_road
//
#include "bits/stdc++.h"
using namespace std;
#define s second
#define f first
#define pb push_back
typedef long long ll;
typedef pair<ll, ll> pii;
typedef vector<pii> vpii;
typedef vector<ll> vi;
#define FOR(i, a, b) for (ll i = (a); i<b; i++)
bool ckmin(ll& a, ll b){ return b < a ? a = b, true : false; }
bool ckmax(ll& a, ll b){ return b > a ? a = b, true : false; }
const ll N = 5e5 + 10;
vi adj[N];
ll d[N], cnt[N];
pii out[N];
void dfs(ll cur, ll p = -1) {
if (adj[cur].size() == 1)cnt[cur]=1;
for (auto val: adj[cur]) {
if (val != p) {
dfs(val, cur);
if (ckmax(d[cur], d[val] + 1)) {
cnt[cur] = cnt[val];
} else if (d[cur] == d[val] + 1) cnt[cur] += cnt[val];
}
}
}
ll mx = 0;
ll tot = 0;
void dfs2(ll cur, ll p = -1) {
vpii leaf;
leaf.pb(out[cur]);
for (auto val: adj[cur]) {
if (val != p) leaf.pb({d[val]+1, cnt[val]});
}
sort(leaf.rbegin(), leaf.rend());
if (leaf.size() >= 3 && leaf[0].f * (leaf[1].f + leaf[2].f) >= mx) {
ll res = 0;
ll eq3 = 0;
ll hardness = leaf[0].f * (leaf[1].f + leaf[2].f);
for (auto val: leaf) if (val.f == leaf[2].f) eq3+=val.s;
if (leaf[1].f == leaf[2].f) {
res = eq3*eq3;
for (auto val: leaf) if (val.f==leaf[2].f) res -= val.s*val.s;
res /= 2;
} else if (leaf[0].f == leaf[1].f) {
res = eq3*(leaf[1].s+leaf[0].f);
} else {
res = eq3 * leaf[1].s;
}
if (ckmax(mx, hardness)) tot = res;
else if (mx == hardness) tot += res;
}
ll num1 = 0;
ll num2 = 0;
for (auto val: adj[cur]) {
if (d[val] + 1 == leaf[0].f) num1+=cnt[val];
if (d[val] + 1 == leaf[1].f) num2+=cnt[val];
}
if (out[cur].f == leaf[0].f) num1 += out[cur].s;
if (out[cur].f == leaf[1].f) num2 += out[cur].s;
for (auto val: adj[cur]) {
if (val != p) {
if (d[val] + 1 == leaf[0].f && leaf[0].f == leaf[1].f ) out[val] = {leaf[1].f+1, num1 - cnt[val]};
else if (d[val] + 1 == leaf[0].f) out[val] = {leaf[1].f + 1, num2};
else out[val] = {leaf[0].f + 1, num1};
dfs2(val, cur);
}
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
ll n;
cin >> n;
FOR(i, 1, n) {
ll a, b;
cin >> a >> b;
adj[a].pb(b);
adj[b].pb(a);
}
out[1].s=1;
dfs(1);
dfs2(1);
if (mx == 0 && tot == 0) tot=1;
cout << mx << ' ' << tot << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
15284 KB |
Output is correct |
2 |
Correct |
3 ms |
15192 KB |
Output is correct |
3 |
Correct |
3 ms |
15196 KB |
Output is correct |
4 |
Incorrect |
3 ms |
15196 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
15284 KB |
Output is correct |
2 |
Correct |
3 ms |
15192 KB |
Output is correct |
3 |
Correct |
3 ms |
15196 KB |
Output is correct |
4 |
Incorrect |
3 ms |
15196 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
15284 KB |
Output is correct |
2 |
Correct |
3 ms |
15192 KB |
Output is correct |
3 |
Correct |
3 ms |
15196 KB |
Output is correct |
4 |
Incorrect |
3 ms |
15196 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |