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 <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast,inline")
#pragma GCC optimize ("unroll-loops")
#pragma GCC target("bmi,bmi2,lzcnt,popcnt")
#pragma GCC target("movbe")
#pragma GCC target("aes,pclmul,rdrnd")
#pragma GCC target("avx,avx2,f16c,fma,sse3,ssse3,sse4.1,sse4.2")
#define sp " "
#define endl "\n";
#define fastio() cin.tie(0), ios_base::sync_with_stdio(0)
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define N 60005
const int modulo = 1e9 + 7;
set<int> adj[N];
int l[N], r[N], w[N], done[N];
int32_t main()
{
fastio();
int n, k;
cin>>n>>k;
for (int i = 1; i <= 2 * n; i++)
{
cin>>l[i]>>r[i]>>w[i];
adj[l[i]].insert(i);
adj[r[i] + n].insert(i);
}
int sum = 0;
queue<int> q;
for (int i = 1; i <= 2 * n; i++)
if (adj[i].size() == 1) q.push(i);
int flag = 0;
while(!q.empty())
{
int top = q.front();
q.pop();
done[top] = 1;
if (adj[top].empty())
{
flag = 1;
break;
}
if (top <= n) sum += w[*adj[top].begin()];
else sum -= w[*adj[top].begin()];
for (auto i : adj[top])
{
int to = l[i];
if (to == top) to = r[i] + n;
adj[to].erase(i);
if (adj[to].size() == 1) q.push(to);
}
}
if (flag)
{
cout<<"NO\n";
return 0;
}
int all = abs(sum);
vector<int> v;
int maks = 0;
for (int i = 1; i <= 2 * n; i++)
{
if (done[i]) continue;
if (adj[i].empty())
{
flag = 1;
break;
}
int curr = i, steps = 0, tot = 0;
while(done[curr] == 0 && !adj[curr].empty())
{
done[curr] = 1;
if (adj[curr].size() > 2)
{
flag = 1;
break;
}
int ind = *adj[curr].begin();
if (steps % 2) tot -= w[ind];
else tot += w[ind];
steps++;
int to = l[ind];
if (to == curr) to = r[ind] + n;
adj[to].erase(ind);
adj[curr].erase(ind);
curr = to;
}
v.pb(abs(tot));
all += abs(tot);
maks = max(maks, abs(tot));
}
if (flag)
{
cout<<"NO\n";
return 0;
}
sum = abs(sum);
v.pb(sum);
bitset<600005> a, b;
a.reset(), b.reset();
sort(v.rbegin(), v.rend());
a[0] = 1;
for (int i = 0; i < (int)v.size(); i++)
{
b |= (a<<v[i]);
b |= (a>>v[i]);
for (int j = 0; j <= v[i]; j++)
b[v[i] - j] = b[v[i] - j] | a[j];
a = b;
b.reset();
}
for (int i = 0; i <= k; i++)
if (a[i]) flag = 1;
if (flag) cout<<"YES\n";
else cout<<"NO\n";
cerr << "time taken : " << (float)clock() / CLOCKS_PER_SEC << " seconds\n";
}
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