이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <iostream>
#include <vector>
#define ll long long
using namespace std;
#define mn (ll) 5e5+5
ll N;
vector<ll> graph[mn];
ll mD[mn][3];
ll mLoc, mDist, root;
ll dist[mn];
ll pa[mn];
ll ans, ansNum = 1;
bool depthB;
void upd(ll l, ll v){
if(v >= mD[l][0]){
mD[l][2] = mD[l][1];
mD[l][1] = mD[l][0];
mD[l][0] = v;
} else if (v >= mD[l][1]){
mD[l][2] = mD[l][1];
mD[l][1] = v;
} else mD[l][2] = max(mD[l][2], v);
}
ll dfs(ll l, ll p, ll d){
pa[l] = p;
for(ll j: graph[l]) if(j!=p) {
dist[j] = dist[l]+1;
if(dist[j] > mDist){
mDist = dist[j];
mLoc = j;
}
ll depC = dfs(j, l,d+1);
if(!depthB) continue;
upd(l,depC);
}
int ret = mD[l][0]+1;
if(depthB) upd(l,d);
return depthB ? ret: 0;
}
void check(ll H){
if(H > ans) {ans = H; ansNum = 0;}
if(H == ans) {ansNum++;}
}
void hard(ll l){
if(graph[l].size() < 3){
if(ans==0) ansNum = 1;
return;
}
ll H = (mD[l][1] + mD[l][0])*mD[l][2]; check(H);
H = mD[l][1] * (mD[l][0] + mD[l][2]); check(H);
H = mD[l][0] * (mD[l][1] + mD[l][2]); check(H);
}
int main() {
cin >> N;
for(ll i = 0; i < N-1; i++){
ll a, b; cin >> a >> b;
graph[a].push_back(b);
graph[b].push_back(a);
}
dfs(1,-1,0); root = mLoc; dist[root] = 0; mDist = 0;
depthB = true;
dfs(root, -1,0);
for(int i = 1; i <= N; i++){
// cout << mD[i][0] << " " << mD[i][1] << " " << mD[i][2] << " " << pa[i] << endl;
hard(i);
}
cout << ans << " " << ansNum << endl;
}
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