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;
#define ll long long
#define f first
#define s second
#define endl '\n'
#define all(x) begin(x), end(x)
int n,k,ori=600069;
int l[30069],r[30069],s[30069];
bool done[30069];
set<int> grph[30069];
bitset<600069*2> bst;
void check(int x) {
if (done[x]) {
return;
}
if (grph[x].size()==0) {
cout<<"NO"<<endl;
exit(0);
}
if (grph[x].size()!=1) {
return;
}
done[x]=true;
int i=*grph[x].begin();
ori+=(x<n?-s[i]:s[i]);
grph[l[i]].erase(i);
grph[r[i]].erase(i);
check(l[i]);
check(r[i]);
}
int dfs(int x, int lst=-1) {
if (done[x]) {
return 0;
}
done[x]=true;
for (auto i : grph[x]) {
if (l[i]!=lst&&l[i]!=x) {
return s[i]-dfs(l[i],x);
}
if (lst==l[i]) {
lst=-1;
}
if (r[i]!=lst&&r[i]!=x) {
return s[i]-dfs(r[i],x);
}
if (lst==r[i]) {
lst=-1;
}
}
return 0;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin>>n>>k;
for (int i = 0; i < 2*n; i++) {
cin>>l[i]>>r[i]>>s[i];
l[i]--;r[i]--;
r[i]+=n;
grph[l[i]].insert(i);
grph[r[i]].insert(i);
}
for (int i = 0; i < 2*n; i++) {
check(i);
}
bst[ori]=true;
for (int i = 0; i < 2*n; i++) {
if (done[i]) {
continue;
}
int tmp=dfs(i);
tmp=abs(tmp);
bst=bst<<tmp;
bst|=bst>>(2*tmp);
}
for (int i = 600069-k; i <= 600069+k; i++) {
if (bst[i]) {
cout<<"YES"<<endl;
return 0;
}
}
cout<<"NO"<<endl;
return 0;
}
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