#include<bits/stdc++.h>
#define ll long long
#define f first
#define s second
#define pb push_back
#define N 500005
using namespace std;
ll ans = 0,ansraod = 0;
pair<pair<ll,ll> ,pair<ll,ll> >mx[N];
vector<ll>v[N];
ll n,m,star;
void go(ll x,ll par){
for(int i=0; i<v[x].size(); i++)
if(v[x][i] != par)
go(v[x][i] , x);
ll cur = -1 , raod = 1 , ind = 0 , wn = -1 , sh = 0;
for(int i=0; i<v[x].size(); i++)
if(v[x][i] != par){
ll to = v[x][i];
if(mx[to].f.f < cur && mx[to].f.f > wn){
wn = mx[to].f.f;
}
if(mx[to].f.f > cur){
raod = 0;
sh = 0;
wn = cur;
cur = mx[to].f.f;
}
if(mx[to].f.f == cur){
ind = to;
sh++;
raod += mx[to].f.s;
}
}
/*
mx[x].f.f aris maximaluri sigrme xidan
mx[x].f.s ki aris aseti wveroebis raodenoba
mx[x].s.f aris danartis max sigrdze
mx[x].s.s maxiani danarti ro moipovebodes egetebis raodenoba
*/
if(ind == 0){
mx[x].f.f = 1;
mx[x].f.s = 1;
mx[x].s.f = 0;
mx[x].s.s = 1;
return;
}
cur += 1;
mx[x].f.f = cur;
mx[x].f.s = raod;
if(sh > 1){
mx[x].s.f = cur - 1;
mx[x].s.s = sh;
return;
}
mx[x].s.f = wn + 1;
mx[x].s.s = 1;
}
void calc(ll x,ll y,ll gare,ll pir,ll meo){
//cout << x << "<-->" << y << " " << gare << " " << pir << " " << meo << endl;
ll namr = max(pir , meo);
if(gare >= namr){
namr = gare;
if(namr * (mx[x].f.f + mx[y].f.f) > ans){
ans = namr * (mx[x].f.f + mx[y].f.f);
ansraod = 0;
}
if(namr * (mx[x].f.f + mx[y].f.f) == ans){
ansraod += mx[x].f.s * mx[y].f.s;
}
return;
}
if(pir == meo){
if(namr * (mx[x].f.f + mx[y].f.f) > ans){
ans = namr * (mx[x].f.f + mx[y].f.f);
ansraod = 0;
}
if(namr * (mx[x].f.f + mx[y].f.f) == ans){
ansraod += mx[x].s.s * mx[y].f.s + mx[y].s.s * mx[x].f.s;
ansraod -= mx[x].s.s * mx[y].s.s;
}
return;
}
if(mx[x].s.f == namr){
if(namr * (mx[x].f.f + mx[y].f.f) > ans){
ans = namr * (mx[x].f.f + mx[y].f.f);
ansraod = 0;
}
if(namr * (mx[x].f.f + mx[y].f.f) == ans){
ansraod += mx[x].s.s * mx[y].f.s;
}
return;
}
if(mx[y].s.f == namr){
if(namr * (mx[x].f.f + mx[y].f.f) > ans){
ans = namr * (mx[x].f.f + mx[y].f.f);
ansraod = 0;
}
if(namr * (mx[x].f.f + mx[y].f.f) == ans){
ansraod += mx[y].s.s * mx[x].f.s;
}
return;
}
}
void solve(ll x,ll par,ll zed){
//cout << x << " " << par << " " << zed << endl;
ll mx1 = -1,mx2 = -1,ind = 0;
for(int i=0; i<v[x].size(); i++)
if(v[x][i] != par){
int to = v[x][i];
if(mx[to].f.f >= mx1){
ind = to;
mx2 = mx1;
mx1 = mx[to].f.f;
}
else if(mx[to].f.f > mx2)mx2 = mx[to].f.f;
}
mx1++;
mx2++;
for(int i=0; i<v[x].size(); i++)
if(v[x][i] != par){
int to = v[x][i];
ll nex = 0;
if(to == ind)
nex = max(zed + 1 , mx2);
else nex = max(zed + 1 , mx1);
solve(to , x , nex);
}
if((int)v[x].size() - (x != star) < 2){
return;
}
ll gan = 0 , sum = 0 , minus = 0;
for(int i=0; i<v[x].size(); i++)
if(v[x][i] != par){
int to = v[x][i];
if(mx[to].f.f == mx[x].f.f - 1){
gan++;
sum += mx[to].f.s;
minus += (mx[to].f.s - 1) * mx[to].f.s / 2 + mx[to].f.s;
}
}
if(gan > 2){
ll namr = max(mx[x].f.f - 1 , zed);
//cout << namr << " " << sum << "<<<<<" << minus << endl;
if(namr * 2LL * (mx[x].f.f - 1) > ans){
ans = namr * 2LL * (mx[x].f.f - 1);
ansraod = 0;
}
if(namr * 2LL * (mx[x].f.f - 1) == ans){
ansraod += (sum * sum - minus) / 2;
}
return;
}
if(gan == 2){
ll ind1 = 0 , ind2 = 0 , mxx = -1;
for(int i=0; i<v[x].size(); i++)
if(v[x][i] != par){
int to = v[x][i];
if(mx[to].f.f == mx[x].f.f - 1){
if(!ind1){
ind1 = to;
continue;
}
ind2 = to;
continue;
}
mxx = max(mxx , mx[to].f.f);
}
ll namr = max(mx[ind1].s.f , mx[ind2].s.f);
ll gar = max(mxx , zed);
calc(ind1 , ind2 , gar , mx[ind1].s.f , mx[ind2].s.f);
ll ne = -1 , in = 0 , ram = 0;
for(int i=0; i<v[x].size(); i++){
if(v[x][i] != par){
int to = v[x][i];
if(to == ind1 || to == ind2)continue;
if(mx[to].f.f > ne){
ne = mx[to].f.f;
in = to;
ram = 0;
}
if(ne == mx[to].f.f){
ram++;
}
}
}
if(ne == -1)return;
if(max(mx[ind1].f.f , zed) * (mx[ind1].f.f + ne) > ans){
ans = max(mx[ind1].f.f , zed) * (mx[ind1].f.f + ne);
ansraod = 0;
}
if(max(mx[ind1].f.f , zed) * (mx[ind1].f.f + ne) == ans){
ansraod += 2LL * ram;
}
return;
}
ll f = 0;
for(int i=0; i<v[x].size(); i++){
if(v[x][i] != par){
int to = v[x][i];
if(mx[to].f.f == mx[x].f.f - 1){
f = to;
break;
}
}
}
ll m1 = -1 , m2 = -1, mi = 0;
for(int i=0; i<v[x].size(); i++){
if(v[x][i] != par){
int to = v[x][i];
if(mx[to].f.f != mx[x].f.f - 1){
if(mx[to].f.f >= m1){
m2 = m1;
mi = to;
m1 = mx[to].f.f;
}
else if(mx[to].f.f > m2)m2 = mx[to].f.f;
}
}
}
for(int i=0; i<v[x].size(); i++){
if(v[x][i] != par){
int to = v[x][i];
if(mx[to].f.f == m1){
ll gar = max(zed , m2);
calc(f , to , gar , mx[f].s.f , mx[to].s.f);
}
}
}
ll ne = -1 , ni = 0 , inn = 0;
for(int i=0; i<v[x].size(); i++){
if(v[x][i] != par){
int to = v[x][i];
if(to == f)continue;
if(mx[to].f.f > ne){
ne = mx[to].f.f;
inn = to;
ni = 0;
}
if(mx[to].f.f == ne){
ni++;
}
}
}
if(ni <= 0)return;
if(ni > 1){
if(max(mx[f].f.f , zed) * (ne + ne) > ans){
ans = max(mx[f].f.f , zed) * (ne + ne);
ansraod = 0;
}
if(max(mx[f].f.f , zed) * (ne + ne) == ans){
ansraod += ni * (ni - 1) / 2;
}
return;
}
ll po = -1 , pi = 0;
for(int i=0; i<v[x].size(); i++){
if(v[x][i] != par){
int to = v[x][i];
if(to == inn || to == f)continue;
if(mx[to].f.f > po){
po = mx[to].f.f;
pi = 0;
}
if(mx[to].f.f == po){
pi++;
}
}
}
if(po <= 0)return;
if(max(mx[f].f.f , zed) * (po + ne) > ans){
ans = max(mx[f].f.f , zed) * (po + ne);
ansraod = 0;
}
if(max(mx[f].f.f , zed) * (po + ne) == ans){
ansraod += pi;
}
}
int main(){
srand(time(NULL));
ios::sync_with_stdio(false);
cin >> n;
if(n == 2){
cout << 0 << " " << 1 << '\n';
return 0;
}
for(int i=1; i<n; i++){
int x,y;
cin >> x >> y;
v[x].pb(y);
v[y].pb(x);
}
ll kk = 0;
vector<int>g;
for(int i=1; i<=n; i++)
if((int)v[i].size() > 1){
g.pb(i);
kk++;
}
random_shuffle(g.begin() , g.end());
star = g[0];
//cout << star << endl;
go(star , 0);
solve(star , 0 , 0);
if(ans == 0){
cout << 0 << " " << (n - kk) * (n - kk - 1) / 2 << '\n';
return 0;
}
if(ans > 0 && ansraod == 0){
while(true);
}
cout << ans << " " << ansraod << '\n';
return 0;
}
Compilation message
road.cpp: In function 'void go(long long int, long long int)':
road.cpp:13:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
road.cpp:17:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
road.cpp: In function 'void solve(long long int, long long int, long long int)':
road.cpp:108:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
road.cpp:120:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
road.cpp:133:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
road.cpp:156:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++)
~^~~~~~~~~~~~
road.cpp:173:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++){
~^~~~~~~~~~~~
road.cpp:169:12: warning: unused variable 'namr' [-Wunused-variable]
ll namr = max(mx[ind1].s.f , mx[ind2].s.f);
^~~~
road.cpp:172:22: warning: variable 'in' set but not used [-Wunused-but-set-variable]
ll ne = -1 , in = 0 , ram = 0;
^~
road.cpp:198:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++){
~^~~~~~~~~~~~
road.cpp:208:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++){
~^~~~~~~~~~~~
road.cpp:221:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++){
~^~~~~~~~~~~~
road.cpp:231:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++){
~^~~~~~~~~~~~
road.cpp:257:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<v[x].size(); i++){
~^~~~~~~~~~~~
road.cpp:207:27: warning: variable 'mi' set but not used [-Wunused-but-set-variable]
ll m1 = -1 , m2 = -1, mi = 0;
^~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 2 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 3 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 4 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 5 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 6 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 7 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 8 |
Incorrect |
12 ms |
12152 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 2 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 3 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 4 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 5 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 6 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 7 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 8 |
Incorrect |
12 ms |
12152 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 2 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 3 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 4 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 5 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 6 |
Correct |
12 ms |
12024 KB |
Output is correct |
| 7 |
Correct |
12 ms |
12152 KB |
Output is correct |
| 8 |
Incorrect |
12 ms |
12152 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
