| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 711092 |
2023-03-16T08:31:20 Z |
TimDee |
Paths (RMI21_paths) |
C++17 |
|
600 ms |
163528 KB |
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2,popcnt")
using ll = long long;
#define int long long
#define double long double
#define forn(i,n) for(int i=0; i<(n); ++i)
#define pb push_back
#define pi pair<int,int>
#define f first
#define s second
#define vii(a,n) vector<int> a(n); forn(i,n) cin>>a[i];
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int inf = 1e18;
const int mod = 1e9+7;//998244353;
const int N = 1e5;
vector<pi> adj[N];
vector<pi> z;
vector<pi> mx(N,{-1,-1});
vector<pi> out(N);
int ans[N];
void dfs(int u, int p) {
for (auto&e:adj[u]) {
int v=e.f, w=e.s;
if (v==p) continue;
dfs(v,u);
if (mx[v].f+w > mx[u].f) {
if (mx[u].s!=-1) z.pb(mx[u]);
mx[u]={mx[v].f+w,mx[v].s};
} else {
z.pb({mx[v].f+w,mx[v].s});
}
}
if (adj[u].size()==1) mx[u]={0,u};
}
void dfs2(int u, int p, pi o) {
out[u]=o;
vector<pi> pr={{-1,-1}};
for(auto&e:adj[u]) {
int v=e.f, w=e.s;
if (v==p) {
pr.pb(pr.back());
continue;
}
if (mx[v].f+w>pr.back().f) pr.pb({mx[v].f+w,mx[v].s});
else pr.pb(pr.back());
}
pi sf={-1,-1};
int sz=adj[u].size();
for (int i=sz-1; i>=0; --i) {
auto e=adj[u][i];
int v=e.f, w=e.s;
if (v==p) continue;
auto x=(pr[i].f > sf.f)?pr[i]:sf;
if (o.f > x.f) x=o;
x.f+=w;
dfs2(v,u,x);
if (mx[v].f+w > sf.f) sf={mx[v].f+w,mx[v].s};
}
}
const int sz=1ll<<50;
struct sgt {
sgt *L, *R;
int c,s;
sgt() {
L=R=NULL;
c=s=0;
}
void add(int l, int r, int x) {
c++, s+=x;
if (r-l==1) return;
int m=(l+r)>>1;
if (x<m) {
if (!L) L=new sgt();
L->add(l,m,x);
} else {
if (!R) R=new sgt();
R->add(m,r,x);
}
}
void add(int x) {
add(0,sz,x);
}
void del(int l, int r, int x) {
c--, s-=x;
if (r-l==1) return;
int m=(l+r)>>1;
if (x<m) {
assert(L!=NULL);
L->del(l,m,x);
} else {
assert(R!=NULL);
R->del(m,r,x);
}
}
void del(int x) {
del(0,sz,x);
}
int query(int l, int r, int k) {
if (!k) return 0;
if (c==k) return s;
assert(k<=c);
if (r-l==1) return k*l;
int ret=0;
int m=(l+r)>>1;
if (R) {
if (R->c < k) {
k-=R->c;
ret+=R->s;
} else return R->query(m,r,k);
}
assert(L);
return ret+L->query(l,m,k);
}
int query(int k) {
return query(0,sz,k);
}
};
sgt st;
int n,k;
int Z[N];
void dfs3(int u, int p) {
ans[u]=st.query(k);
for(auto&e:adj[u]) {
int v=e.f, w=e.s;
if (v==p) continue;
st.del(Z[out[v].s]);
Z[out[v].s]+=w;
st.add(Z[out[v].s]);
st.del(Z[mx[v].s]);
Z[mx[v].s]-=w;
st.add(Z[mx[v].s]);
dfs3(v,u);
st.del(Z[out[v].s]);
Z[out[v].s]-=w;
st.add(Z[out[v].s]);
st.del(Z[mx[v].s]);
Z[mx[v].s]+=w;
st.add(Z[mx[v].s]);
}
}
void solve() {
cin>>n>>k;
forn(i,n-1) {
int u,v,w; cin>>u>>v>>w; --u, --v;
adj[u].pb({v,w});
adj[v].pb({u,w});
}
dfs(0,-1);
z.pb(mx[0]);
pi puiu1={0,0}, puiu2={-1,-1};
pi x = (adj[0].size()==1)?puiu1:puiu2;
dfs2(0,-1,x);
if (z.size()<=k) {
int s=0;
for(auto&x:z) s+=x.f;
forn(i,n) cout<<s<<'\n';
return;
}
for(auto&x:z) {
Z[x.s]=x.f;
st.add(x.f);
}
dfs3(0,-1);
forn(i,n) cout<<ans[i]<<'\n';
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t=1;
//cin>>t;
while (t--) solve();
return 0;
}
Compilation message
Main.cpp: In function 'void solve()':
Main.cpp:169:17: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
169 | if (z.size()<=k) {
| ~~~~~~~~^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5844 KB |
Output is correct |
| 2 |
Correct |
3 ms |
5844 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5844 KB |
Output is correct |
| 2 |
Correct |
3 ms |
5844 KB |
Output is correct |
| 3 |
Correct |
5 ms |
6212 KB |
Output is correct |
| 4 |
Correct |
5 ms |
6344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
6228 KB |
Output is correct |
| 6 |
Correct |
4 ms |
6340 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5960 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5844 KB |
Output is correct |
| 2 |
Correct |
3 ms |
5844 KB |
Output is correct |
| 3 |
Correct |
5 ms |
6212 KB |
Output is correct |
| 4 |
Correct |
5 ms |
6344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
6228 KB |
Output is correct |
| 6 |
Correct |
4 ms |
6340 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5960 KB |
Output is correct |
| 8 |
Incorrect |
8 ms |
7684 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5844 KB |
Output is correct |
| 2 |
Correct |
3 ms |
5844 KB |
Output is correct |
| 3 |
Correct |
5 ms |
6212 KB |
Output is correct |
| 4 |
Correct |
5 ms |
6344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
6228 KB |
Output is correct |
| 6 |
Correct |
4 ms |
6340 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5960 KB |
Output is correct |
| 8 |
Incorrect |
8 ms |
7684 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
647 ms |
163528 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5844 KB |
Output is correct |
| 2 |
Correct |
3 ms |
5844 KB |
Output is correct |
| 3 |
Correct |
5 ms |
6212 KB |
Output is correct |
| 4 |
Correct |
5 ms |
6344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
6228 KB |
Output is correct |
| 6 |
Correct |
4 ms |
6340 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5960 KB |
Output is correct |
| 8 |
Incorrect |
8 ms |
7684 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
