#include <bits/stdc++.h>
using namespace std;
#define int ll
#define FOR(i,s,e) for(ll i = s; i <= (ll)e; ++i)
#define DEC(i,s,e) for(ll i = s; i >= (ll)e; --i)
#define IAMSPEED ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
#define db(x) cerr << #x << "=" << x << "\n"
#define db2(x, y) cerr << #x << "=" << x << " , " << #y << "=" << y << "\n"
#define db3(a,b,c) cerr<<#a<<"="<<a<<","<<#b<<"="<<b<<","<<#c<<"="<<c<<"\n"
#define dbv(v) cerr << #v << ":"; for (auto ite : v) cerr << ite << ' '; cerr <<"\n"
#define dbvp(v) cerr << #v << ":"; for (auto ite : v) cerr << "{" << ite.f << ',' << ite.s << "} "; cerr << "\n"
#define dba(a,ss,ee) cerr << #a << ":"; FOR(ite,ss,ee) cerr << a[ite] << ' '; cerr << "\n"
#define reach cerr << "LINE: " << __LINE__ << "\n";
#else
#define db(x)
#define db2(x,y)
#define db3(a,b,c)
#define dbv(v)
#define dbvp(v)
#define dba(a,ss,ee)
#define reach
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define ll long long
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define f first
#define s second
#define g0(x) get<0>(x)
#define g1(x) get<1>(x)
#define g2(x) get<2>(x)
#define g3(x) get<3>(x)
typedef pair <ll, ll> pi;
typedef tuple<ll,ll,ll> ti3;
typedef tuple<ll,ll,ll,ll> ti4;
ll rand(ll a, ll b) { return a + rng() % (b-a+1); }
const int MOD = 1e9 + 7;
const int inf = (int)1e9 + 500;
const long long oo = (ll)1e18 + 500;
template <typename T> void chmax(T& a, const T b) { a=max(a,b); }
template <typename T> void chmin(T& a, const T b) { a=min(a,b); }
const int MAXN = 100005;
int n,k;
vector<pi> V[MAXN];
set<pi> in; // {num[x],x}
set<pi,greater<pi>> out; // {num[x], x}
int dist[MAXN];
pi down[MAXN];
pi up[MAXN];
int par[MAXN];
int num[MAXN];
int W[MAXN];
int output[MAXN];
int st[MAXN];
int en[MAXN];
int cnt;
vector<int> leaves;
bool ispar(int p, int x) {
if(st[p] <= st[x] && en[p] >= en[x]) return 1;
else return 0;
}
pi dfs1(int x, int p) {
st[x]=cnt++;
par[x] = p;
if(V[x].size() == 1 && p != -1) {
leaves.pb(x);
down[x]=pi(W[x], x);
en[x]=cnt-1;
return pi(W[x],x);
}
for(auto v:V[x])if(v.f != p){
dist[v.f] = dist[x] + v.s;
W[v.f] = v.s;
pi r=dfs1(v.f,x);
r.f += v.s;
chmax(down[x],r);
}
en[x]=cnt-1;
return down[x];
}
void dfs2(int x, int p) {
vector<pi> vec;
vec.pb(pi(up[x].f+1, up[x].s));
for(auto v:V[x])if(v.f != p) {
vec.pb(pi(down[v.f].f+1, down[v.f].s));
sort(all(vec), [](pi a, pi b) {
return a.f > b.f;
});
while((int)vec.size() >= 3)vec.pop_back();
}
for(auto v:V[x])if(v.f != p){
if(ispar(v.f,vec[0].s)) {
up[v.f]=vec[1];
} else {
up[v.f]=vec[0];
}
}
for(auto v:V[x])if(v.f != p) dfs2(v.f,x);
}
int ans;
void update(int x, int nval) {
if(in.size() && in.find(pi(num[x],x)) != in.end()) {
auto it=in.find(pi(num[x],x));
pi into = pi(it->f+nval,it->s);
in.erase(it);
in.insert(pi(into.f,into.s));
num[x]+=nval;
ans += nval;
}
else if(out.size() && out.find(pi(num[x],x)) != out.end()) {
auto it=out.find(pi(num[x],x));
pi into = pi(it->f+nval,it->s);
out.erase(it);
out.insert(pi(into.f,into.s));
num[x]+=nval;
} else{
assert(in.empty() || out.empty());
}
}
void rebalance() {
if(in.empty() || out.empty()) return;
pi inside=*in.begin();
pi outside=*out.begin();
while(inside.f < outside.f) {
ans += outside.f;
ans -= inside.f;
in.erase(in.begin());
out.erase(out.begin());
in.insert(outside);
out.insert(inside);
inside=*in.begin();
outside=*out.begin();
}
}
void solve(int x, int p) {
output[x] = ans;
db(x);
for(auto v:V[x])if(v.f!=p) {
pi r1 = down[v.f];
pi r2 = up[v.f];
update(r1.s, -W[v.f]);
update(r2.s, W[v.f]);
rebalance();
solve(v.f, x);
db(x);
dbvp(in);
dbvp(out);
update(r1.s, W[v.f]);
update(r2.s, -W[v.f]);
dbvp(in);
dbvp(out);
rebalance();
}
}
int32_t main()
{
IAMSPEED
cin >> n >> k;
FOR(i,1,n-1) {
int a,b,c; cin >> a >> b >> c;
V[a].pb(pi(b,c));
V[b].pb(pi(a,c));
}
dfs1(1,-1);
reach
up[1] = pi(0,1);
dfs2(1,-1);
FOR(i,2,n) {
db3(i,down[i].s,down[i].f);
db3(i,up[i].s,up[i].f);
num[down[i].s]+=W[i];
}
for(auto i:leaves) {
out.insert(pi(num[i],i));
}
if(V[1].size() == 1)out.insert(pi(0,1));
dbv(leaves);
while((int)in.size() < k) {
in.insert(*out.begin());
ans += out.begin()->f;
out.erase(out.begin());
}
if((int)in.size() < k) { //just take every single edge.
FOR(i,1,n) {
cout << ans << '\n';
}
exit(0);
}
reach
solve(1,-1);
FOR(i,1,n) cout << output[i] << '\n';
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 2 |
Correct |
2 ms |
2644 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 2 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 3 |
Incorrect |
2 ms |
2772 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 2 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 3 |
Incorrect |
2 ms |
2772 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 2 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 3 |
Incorrect |
2 ms |
2772 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
277 ms |
21188 KB |
Output is correct |
| 2 |
Incorrect |
256 ms |
23884 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 2 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 3 |
Incorrect |
2 ms |
2772 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
