This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
#include <set>
#include <unordered_map>
int gs, edg;
std::vector<std::vector<std::pair<int,int>>> adj_list;
std::vector<std::tuple<int,int,int>> edges;
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
std::cout.tie(NULL);
std::cin >> gs >> edg;
adj_list.resize(gs+1);
for (int i = 0, a, b, c; i < edg; i++) {
std::cin >> a >> b >> c;
adj_list[a].emplace_back(b,c);
adj_list[b].emplace_back(a,c);
edges.emplace_back(std::min(a,b),std::max(a,b),c);
}
// try all star graphs
int64_t ans = 0;
for (int i = 1; i <= gs; i++) {
int64_t cand = 0;
for (const auto& [j, w] : adj_list[i]) {
cand += w;
}
ans = std::max(ans,cand);
}
// try all "triangle" cycles
std::sort(edges.begin(),edges.end());
for (int i = 1; i <= gs; i++) {
std::sort(adj_list[i].begin(),adj_list[i].end(),[](const std::pair<int,int>& a, const std::pair<int,int>& b) {
return a.second < b.second;
});
if (adj_list[i].size()>=2) {
auto [a, wa] = adj_list[i][0];
auto [b, wb] = adj_list[i][1];
auto it = std::lower_bound(edges.begin(),edges.end(),std::tuple<int,int,int>(std::min(a,b),std::max(a,b),0));
if (it!=edges.end()&&std::get<0>(*it)==std::min(a,b)&&std::get<1>(*it)==std::max(a,b)) {
ans = std::max(ans, (int64_t)wa + wb + std::get<2>(*it));
}
}
}
std::cout << ans << "\n";
}
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