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#include "roads.h"
#include <iostream>
#include <vector>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_map>
#include <cmath>
#include <climits>
#include <algorithm>
#include <random>
#include <queue>
#include <deque>
#include <iomanip>
#include <string>
#include <tuple>
#include <bitset>
#include <chrono>
#include <ctime>
#include <fstream>
#include <stack>
#include <cstdio>
using namespace std;
using ll = long long;
vector<vector<pair<int, int>>> gp;
vector<vector<ll>> dp;
vector<ll> linear_w;
void dfs(int u, int p, int k) {
vector<ll> vec;
dp[u][0] = 0;
for (pair<int, int>& v : gp[u]) {
if (v.first == p) continue;
dfs(v.first, u, k);
dp[u][0] += dp[v.first][k];
vec.push_back(dp[v.first][k - 1] + v.second - dp[v.first][k]);
}
sort(vec.rbegin(), vec.rend());
int lsti = 0;
for (int i = 1, j = 0; i <= k && j < vec.size(); ++i, ++j) {
dp[u][i] = dp[u][i - 1];
dp[u][i] += max(0ll, vec[j]);
lsti = i;
}
if (lsti < k) dp[u][k] = dp[u][lsti];
if (lsti < k - 1) dp[u][k - 1] = dp[u][lsti];
}
void to_line(int u, int p) {
for (pair<int, int>& v : gp[u]) {
if (v.first == p) continue;
linear_w.push_back(v.second);
to_line(v.first, u);
}
}
vector<ll> minimum_closure_costs(int n, vector<int> U, vector<int> V, vector<int> W) {
gp = vector<vector<pair<int, int>>>(n);
ll sm = 0;
bool f = 1;
for (int i = 0; i < U.size(); ++i) {
gp[U[i]].push_back({ V[i], W[i] });
gp[V[i]].push_back({ U[i], W[i] });
if (U[i]) f = 0;
sm += W[i];
}
vector<ll> vec(n);
if (f) {
sort(W.rbegin(), W.rend());
ll cur = 0;
for (int i = 0; i < n; ++i) {
//cout << sm - cur << " ";
vec[i] = sm - cur;
if(i < n - 1) cur += W[i];
}
return vec;
}
if (n > 2000) {
int node = 0;
for (int i = 0; i < n; ++i) if (gp[i].size() == 1) node = i;
to_line(node, node);
vector<ll> DP(n - 1);
DP[0] = linear_w[0];
if (n > 2) DP[1] = max(DP[0], linear_w[1]);
if (n > 3) DP[2] = linear_w[0] + linear_w[2];
for(int i = 3; i < n - 1; ++i){
DP[i] = max(DP[i - 3] + linear_w[i], DP[i - 2] + linear_w[i]);
}
for (int i = 0; i < n - 1; ++i) DP[n - 2] = max(DP[n - 2], DP[i]);
vec[0] = sm;
vec[1] = sm - DP[n - 2];
dp = vector<vector<ll>>(n, vector<ll>(2));
dp[0][0] = 0;
dp[0][1] = linear_w[0];
dp[1][0] = linear_w[1];
dp[1][1] = dp[0][1] + dp[1][0];
for (int i = 2; i < n - 1; ++i) {
dp[i][0] = max(dp[i - 2][0], dp[i - 2][1]) + linear_w[i];
//dp[i][1] = max({ dp[i - 2][0], dp[i - 2][1] , dp[i - 1][0] }) + linear_w[i];
dp[i][1] = dp[i - 1][0] + linear_w[i];
}
ll mx = 0;
for (int i = 0; i < n - 1; ++i) mx = max({ mx, dp[i][0], dp[i][1] });
if (vec.size() > 2) vec[2] = sm - mx;
for (int i = 3; i < n; ++i) vec[i] = vec[i - 1];
return vec;
}
vec[0] = sm;
dp = vector<vector<ll>>(n, vector<ll>(n));
for (int i = 1; i < n; ++i) {
dfs(0, 0, i);
vec[i] = sm - dp[0][i];
}
return vec;
}
컴파일 시 표준 에러 (stderr) 메시지
roads.cpp: In function 'void dfs(int, int, int)':
roads.cpp:41:37: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
41 | for (int i = 1, j = 0; i <= k && j < vec.size(); ++i, ++j) {
| ~~^~~~~~~~~~~~
roads.cpp: In function 'std::vector<long long int> minimum_closure_costs(int, std::vector<int>, std::vector<int>, std::vector<int>)':
roads.cpp:62:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
62 | for (int i = 0; i < U.size(); ++i) {
| ~~^~~~~~~~~~
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