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#include "roads.h"
#include <vector>
#include <bits/stdc++.h>
using namespace std;
constexpr int NMAX = 100005;
typedef long long LL;
constexpr LL INF = 1LL * 1e15;
struct muchie {
int x, y;
LL cost;
};
muchie E[NMAX];
vector <int> G[NMAX];
vector <int> Degree[NMAX];
vector <int> GoodNodes;
bool Unlocked[NMAX];
LL dp[NMAX][2];
bool viz[NMAX];
void Dfs (int k, int Node, int dad = -1) {
viz[Node] = true;
for (auto it : G[Node]) {
int to = (E[it].x == Node ? E[it].y : E[it].x);
if (to == dad) continue;
if (viz[to]) continue;
if (!Unlocked[to]) continue;
Dfs(k, to, Node);
}
int grad = 0;
vector <LL> V;
LL sum = 0;
for (auto it : G[Node]) {
int to = (E[it].x == Node ? E[it].y : E[it].x);
if (to == dad) continue;
++ grad;
if (Unlocked[to]) {
V.push_back(dp[to][1] - dp[to][0]);
sum += dp[to][0];
}
else {
V.push_back(E[it].cost);
}
}
dp[Node][0] = INF;
dp[Node][1] = INF;
sort(V.begin(), V.end());
if (k > 0) {
dp[Node][0] = sum;
for (int i = 0; i < max(0, grad - k + 1); ++ i )
dp[Node][0] += V[i];
for (int i = max(0, grad - k + 1); i < V.size() && V[i] < 0; ++ i )
dp[Node][0] += V[i];
}
if (dad == -1) {
dp[Node][1] = sum;
for (int i = 0; i < max(0, grad - k); ++ i )
dp[Node][1] += V[i];
for (int i = max(0, grad - k); i < V.size() && V[i] < 0; ++ i )
dp[Node][1] += V[i];
}
for (auto it : G[Node]) {
int to = (E[it].x == Node ? E[it].y : E[it].x);
if (to != dad) continue;
dp[Node][1] = sum + E[it].cost;
for (int i = 0; i < max(0, grad - k); ++ i )
dp[Node][1] += V[i];
for (int i = max(0, grad - k); i < V.size() && V[i] < 0; ++ i )
dp[Node][1] += V[i];
break;
}
}
LL Solve (int K) {
LL ans = 0;
for (auto it : GoodNodes) {
if (viz[it]) continue;
Dfs(K, it, -1);
ans += dp[it][1];
}
for (auto it : GoodNodes)
viz[it] = false;
return ans;
}
void Add (int Node) {
GoodNodes.push_back(Node);
Unlocked[Node] = true;
}
std::vector<long long> minimum_closure_costs(int N, std::vector<int> U,
std::vector<int> V,
std::vector<int> W) {
for (int i = 1; i < N; ++ i ) {
E[i] = {U[i-1], V[i-1], 1LL * W[i-1]};
G[U[i-1]].push_back(i);
G[V[i-1]].push_back(i);
}
for (int i = 0; i < N; ++ i ) {
Degree[G[i].size()].push_back(i);
}
vector <LL> ans;
ans.resize(N);
for (int k = N-1; k >= 0; -- k ) {
ans[k] = Solve(k);
for (auto it : Degree[k])
Add(it);
}
return ans;
}
컴파일 시 표준 에러 (stderr) 메시지
roads.cpp: In function 'void Dfs(int, int, int)':
roads.cpp:68:46: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
68 | for (int i = max(0, grad - k + 1); i < V.size() && V[i] < 0; ++ i )
| ~~^~~~~~~~~~
roads.cpp:76:42: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
76 | for (int i = max(0, grad - k); i < V.size() && V[i] < 0; ++ i )
| ~~^~~~~~~~~~
roads.cpp:88:42: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
88 | for (int i = max(0, grad - k); i < V.size() && V[i] < 0; ++ i )
| ~~^~~~~~~~~~
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