#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define pb push_back
#define en cout << '\n'
#define vi vector<int>
#define pii pair<int, int>
#define ff first
#define ss second
#define all(x) x.begin(),x.end()
const int N = 1e5+100;
int n, k, tin[N], tout[N], timer = 0, par[N], ex[N], compsz[N];
vector<pii> g[N];
ll dp[N], s[N], dist[N], pd[N], PD[N], pdreal[N];
bool is_ancestor(int u, int v){
return tin[u] <= tin[v] && tout[v] <= tout[u];
}
void f(int v, int p, int up, ll parw){
// cout << v << ' ' << p << ' ' << up << ' ' << parw << ' ' << dist[v] << "f\n";
if(dist[v] - dist[up] > k) return;
if(dist[v] - dist[up] <= k && dist[v] - dist[up] + parw > k){
// cout << "gh\n";
dp[up] += dp[v] + compsz[v] - 1;
}
for(auto U: g[v]){
int u = U.ff;
if(u != p && ex[u] && u != v){
f(u, v, up, parw);
}
}
}
void f2(int v, int p, int up, int up2, ll parw, ll D){
// cout << v << ' ' << p << ' ' << up << ' ' << parw << ' ' << D << "f\n";
if(D > k) return;
// cout << D + parw << ' ' << D << ' ' << parw << '\n';
if(D <= k && D + parw > k){
if(is_ancestor(v, up)){
ll num = 0;
// cout << v << " : " << up << '\n';
// ll num = f3(v, p, par[v], dist[p] - dist[v], 0ll);
pd[up2] += (pd[p] + compsz[v] - 1);
PD[up2] += (pd[p] + compsz[v] - 1) * s[up2];
}else{
// cout << v << ':' << up << '\n';
pd[up2] += (dp[v] + compsz[v] - 1);
PD[up2] += (dp[v] + compsz[v] - 1) * s[up2];
}
}
for(auto U: g[v]){
int u = U.ff;
// cout << u << ' ' << v << " | ";
if(u != p && ex[u] && u != v){
f2(u, v, up, up2, parw, D+U.ss);
}
}
// en;
}
void merg(int a, int b, int pp){
if(g[a].size() > g[b].size()) g[a].swap(g[b]);
compsz[b] += compsz[a];
for(auto x: g[a]) g[b].pb(x);
if(pp != b) {g[a].swap(g[b]);}
// cout << pp << endl;
// for(auto x: g[pp]) cout << x.ff << " "; en;
}
int parww[N];
void dfs(int v, int p, ll parw){
dp[v] = 1;
compsz[v] = 1;
s[v] = 1;
par[v] = p;
tin[v] = timer++;
parww[v] = parw;
if(v != 1 && parw == 0){
ex[v] = 0;
// cout << "merge: " << v << ' ' << p << endl;
merg(v, p, p);
return;
}
for(int i = 0; i < g[v].size(); ++i){
auto U = g[v][i];
int u = U.ff;
if(u != p && ex[u] && u != v && s[u] == 0){
// cout << u << ' ' << v << endl;
dist[u] = dist[v] + U.ss;
dfs(u, v, U.ss);
s[v] += s[u];
}
}
tout[v] = timer++;
f(v, p, v, parw);
}
void dfs2(int v, int p, ll parw){
pd[v] = 1;
PD[v] = 0;
// cout << v << '\n';
if(p != v){
f2(p, v, p, v, parw, 0ll);
}
for(auto U: g[v]){
int u = U.ff;
if(u != p && ex[u] && u != v){
dfs2(u, v, U.ss);
}
}
}
void solve(){
cin >> n >> k;
for(int i = 1; i < n; ++i){
int u, v, w; cin >> u >> v >> w;
++u, ++v;
g[u].pb({v, w});
g[v].pb({u, w});
}
for(int i = 1; i <= n; ++i){
ex[i] = 1;
s[i] = 0;
}
dfs(1, 1, 0);
// for(int i = 1; i <= n; ++i){
// cout << dp[i] << ' ';
// }
for(int i = 2; i <= n; ++i){
sort(all(g[i]));
int pos = lower_bound(all(g[i]), pair<int,int>{par[i], -1}) - g[i].begin();
if(pos == g[i].size() || g[i][pos].ff != par[i]){
g[i].pb({par[i], parww[i]});
}
}
dfs2(1, 1, 0);
// for(int i = 1; i <= n; ++i){
// cout << dp[i] << ' ';
// }
// for(int i = 1; i <= n; ++i) cout << dp[i] << ' ' << pd[i] << '\n';
for(int i = 1; i <= n; ++i){
if(ex[i] == 0){
cout << "0\n";
continue;
}
pdreal[i] = 0;
for(auto U: g[i]){
if(U.ff != par[i] && U.ff != i && ex[U.ff]) pdreal[i] += PD[U.ff];
}
cout << (dp[i] - 1) * (n - s[i]) + pdreal[i] << '\n';
}
}
int main(){
cin.tie(0); ios::sync_with_stdio(0);
solve();
return 0;
}
Compilation message
Main.cpp: In function 'void f2(int, int, int, int, long long int, long long int)':
Main.cpp:40:7: warning: unused variable 'num' [-Wunused-variable]
40 | ll num = 0;
| ^~~
Main.cpp: In function 'void dfs(int, int, long long int)':
Main.cpp:83:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
83 | for(int i = 0; i < g[v].size(); ++i){
| ~~^~~~~~~~~~~~~
Main.cpp: In function 'void solve()':
Main.cpp:129:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
129 | if(pos == g[i].size() || g[i][pos].ff != par[i]){
| ~~~~^~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
2 ms |
2628 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
2 ms |
2628 KB |
Output is correct |
3 |
Incorrect |
5 ms |
2908 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2648 KB |
Output is correct |
2 |
Correct |
42 ms |
15364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
2 ms |
2628 KB |
Output is correct |
3 |
Correct |
2 ms |
2648 KB |
Output is correct |
4 |
Correct |
42 ms |
15364 KB |
Output is correct |
5 |
Correct |
53 ms |
15444 KB |
Output is correct |
6 |
Execution timed out |
3553 ms |
13148 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
2 ms |
2628 KB |
Output is correct |
3 |
Incorrect |
67 ms |
11332 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
2 ms |
2628 KB |
Output is correct |
3 |
Incorrect |
67 ms |
11332 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
2 ms |
2628 KB |
Output is correct |
3 |
Incorrect |
5 ms |
2908 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |