이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#define rc(x) return cout<<x<<endl,0
#define pb push_back
#define mkp make_pair
#define in insert
#define er erase
#define fd find
#define fr first
#define sc second
typedef long long ll;
typedef long double ld;
const ll INF=0x3f3f3f3f3f3f3f3f;
const ll llinf=(1LL<<62);
const int inf=(1<<30);
const int nmax=6e4+50;
const int mmax=2e6+50;
const int mod=1e9+7;
using namespace std;
int n,k,l[nmax],r[nmax],s[nmax],i,vl[nmax],cur,x,y,sa,sb,nx[nmax],rnx[nmax];
vector<int>g[nmax],vc;
bitset<nmax>b;
bitset<mmax>f;
int dfs(int x)
{
for(int i=0;i<(int)g[x].size();i++)
{
int y=g[x][i];
if(b[y])continue;
b[y]=1;
if(!vl[y] || dfs(vl[y]))
{
vl[y]=x;
return 1;
}
}
return 0;
}
int main()
{
//freopen("sol.in","r",stdin);
//freopen("sol.out","w",stdout);
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
ios_base::sync_with_stdio(false);cin.tie(0);cerr.tie(0);cout.tie(0);
cin>>n>>k;
for(i=1;i<=2*n;i++)
{
cin>>l[i]>>r[i]>>s[i];
r[i]+=n;
g[i].pb(l[i]);
g[i].pb(r[i]);
}
for(i=1;i<=2*n;i++)
{
b.reset();
if(!dfs(i))rc("NO");
}
for(i=1;i<=n;i++)nx[i]=r[vl[i]],rnx[r[vl[i]]]=i,sa+=s[vl[i]];
for(i=n+1;i<=2*n;i++)nx[i]=l[vl[i]],rnx[l[vl[i]]]=i,sb+=s[vl[i]];
cur=sa-sb;
b.reset();
for(i=1;i<=2*n;i++)
{
if(b[i])continue;
x=i;
while(!b[x])
{
b[x]=1;
x=nx[x];
}
y=x,sa=sb=0;
assert((ld)clock()/CLOCKS_PER_SEC<=1.2);
//if((ld)clock()/CLOCKS_PER_SEC>0.001)rc("1213");
while(1)
{
if(x<=n)sa+=s[vl[x]];
else sb+=s[vl[x]];
x=rnx[x];
if(x==y)break;
}
if(2*(sb-sa)>0)
{
cur+=2*(sb-sa);
vc.pb(2*(sb-sa));
}
else vc.pb(-2*(sb-sa));
}
if(cur<-k)rc("NO");
if(cur<=k)rc("YES");
f[cur+k]=1;
for(i=0;i<(int)vc.size();i++)
{
f|=(f>>vc[i]);
}
for(i=0;i<=2*k;i++)if(f[i])rc("YES");
cout<<"NO"<<endl;
return 0;
}
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