This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
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*/
#include "bits/stdc++.h"
#define ll long long
#define ld long double
#define ff first
#define ss second
#define pii pair<int, int>
#define mp make_pair
using namespace std;
void setIO(string s = ""){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
if (!s.empty()){
freopen((s+".in").c_str(), "r", stdin);
freopen((s+".out").c_str(), "w", stdout);
}
}
struct chash {
const double PI = acos(-1);
const uint64_t C = (2e18 * PI)+71;
const uint32_t random = chrono::steady_clock::now().time_since_epoch().count();
size_t operator()(ll x) const {
return __builtin_bswap64((x^random)*C);
}
};
const int N = 5e5;
vector<int> adj[N];
pii max_path[N];
pair<ll, ll> ans;
void dfs1(int u, int p){
max_path[u] = {0, 1};
for (const int &v : adj[u]){
if (v == p) continue;
dfs1(v, u);
if (max_path[v].ff+1 > max_path[u].ff){
max_path[u] = max_path[v];
max_path[u].ff++;
} else if (max_path[u].ff == max_path[v].ff+1) max_path[u].ss += max_path[v].ss;
}
}
void dfs2(int u, int p, pair<ll, ll> pdis){
vector<pii> path;
if (u || (int)adj[u].size() == 1) path.push_back(pdis);
for (const int &v : adj[u]){
if (v != p) path.push_back({max_path[v].ff+1, max_path[v].ss});
}
sort(path.begin(), path.end(), greater<>());
if (path.size() >= 3){
int a = path[0].ff, b = path[1].ff, c = path[2].ff;
ll cur_hard = 1LL*a*(b+c);
ll cur_cnt = 0;
ll same = 0;
for (const pii &p : path){
if (p.ff == c) same += p.ss;
}
if (a == b && a == c){
cur_cnt = same*same;
for (const pii &p : path) if (p.ff == a) cur_cnt -= 1LL*p.ss*p.ss;
cur_cnt /= 2;
} else if (a == b){
cur_cnt = 1LL*same*(path[0].ss + path[1].ss);
} else if (b == c){
cur_cnt = same*same;
for (const pii &p : path) if (p.ff == b) cur_cnt -= 1LL*p.ss*p.ss;
cur_cnt /= 2;
} else {
cur_cnt = 1LL*path[1].ss*same;
}
if (ans.ff < cur_hard){
ans = mp(cur_hard, cur_cnt);
} else if (ans.ff == cur_hard) ans.ss += cur_cnt;
}
pair<ll, ll> best = {0, 0}, second_best = {0, 0};
for (const pii &p : path){
if (p.ff + 1 > best.ff){
second_best = best;
best = {p.ff + 1, p.ss};
} else if (p.ff + 1 == best.ff){
best.ss += p.ss;
} else if (p.ff + 1 > second_best.ff){
second_best = {p.ff+1, p.ss};
} else if (p.ff + 1 == second_best.ff) second_best.ss += p.ss;
}
for (const int &v : adj[u]){
if (v == p) continue;
if (max_path[v].ff + 2 == best.ff){
if (max_path[v].ss == best.ss) dfs2(v, u, second_best);
else dfs2(v, u, mp(best.ff, best.ss - max_path[v].ss));
} else dfs2(v, u, best);
}
}
int main(){
setIO();
int n;
cin >> n;
for (int i = 1; i < n; i++){
int u, v;
cin >> u >> v;
adj[--u].push_back(--v);
adj[v].push_back(u);
}
ans = {0, 1};
dfs1(0, 0);
pair<ll, ll> start = {0, 1};
dfs2(0, 0, start);
cout << ans.ff << ' ' << ans.ss;
}
Compilation message (stderr)
road.cpp: In function 'void setIO(std::string)':
road.cpp:138:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
138 | freopen((s+".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
road.cpp:139:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
139 | freopen((s+".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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