이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include "bits/stdc++.h"
using namespace std;
void abc() {cout << endl;}
template <typename T, typename ...U> void abc(T a, U ...b) {
cout << a << ' ', abc(b...);
}
template <typename T> void printv(T l, T r) {
while (l != r) cout << *l << " \n"[++l == r];
}
template <typename A, typename B> istream& operator >> (istream& o, pair<A, B> &a) {
return o >> a.first >> a.second;
}
template <typename A, typename B> ostream& operator << (ostream& o, pair<A, B> a) {
return o << '(' << a.first << ", " << a.second << ')';
}
template <typename T> ostream& operator << (ostream& o, vector<T> a) {
bool is = false;
for (T i : a) {o << (is ? ' ' : '{'), is = true, o << i;}
return o << '}';
}
#ifdef local
#define test(args...) abc("[" + string(#args) + "]", args)
#else
#define test(args...) void(0)
#endif
using ll = long long;
multiset<pair<int, int>> adj[100005];
bitset<600005*2> possible;
bool done[100005];
int curct;
void dfs(int node, int par = 1) {
if (adj[node].empty()) return;
auto cur = *adj[node].begin();
adj[node].erase(adj[node].begin());
adj[cur.first].erase(adj[cur.first].find({node, cur.second}));
curct += par * cur.second;
dfs(cur.first, -par);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("", "r", stdin);
// freopen("", "w", stdout);
int n, k; cin >> n >> k;
for (int i = 1; i <= 2 * n; i++) {
int l, r, s; cin >> l >> r >> s;
r += n;
adj[l].insert({r, s});
adj[r].insert({l, s});
}
vector<int> must;
for (int i = 1; i <= 2 * n; i++) {
if (adj[i].empty()) {
cout << "NO" << endl;
return 0;
}
if (adj[i].size() == 1) {
must.push_back(i);
}
}
int ct = 0;
while (!must.empty()) {
auto cur = must.back(); must.pop_back();
auto to = *adj[cur].begin();
adj[cur].clear();
if (cur > n) {
ct += to.second;
} else ct -= to.second;
adj[to.first].erase(adj[to.first].find({cur, to.second}));
if (adj[to.first].size() == 1) must.push_back(to.first);
}
int base = 600000 + ct;
possible.set(base);
for (int i = 1; i <= 2 * n; i++) {
if (adj[i].empty()) {
continue;
}
auto cur = *adj[i].begin();
adj[i].erase(adj[i].begin());
adj[cur.first].erase(adj[cur.first].find({i, cur.second}));
curct = -cur.second;
dfs(i);
curct = abs(curct);
possible = (possible << curct) | (possible >> curct);
}
for (int i = -k; i <= k; i++) {
if (0 <= 600000 + i && 600000 + i < 1200001 && possible[600000 + i]) {
cout << "YES" << endl;
return 0;
}
}
cout << "NO" << endl;
}
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