# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1022741 | guagua0407 | Tug of War (BOI15_tug) | C++17 | 966 ms | 6160 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int,int>
#define f first
#define s second
#define all(x) x.begin(),x.end()
#define _ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int dx[4]={0,0,1,-1};
int dy[4]={1,-1,0,0};
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
const int mxn=6e4+5;
int l[mxn],r[mxn],S[mxn];
bool vis[mxn];
bool usedl[mxn],usedr[mxn];
int main() {_
int n,k;
cin>>n>>k;
vector<vector<int>> ls(n),rs(n);
int all=0;
for(int i=0;i<2*n;i++){
cin>>l[i]>>r[i]>>S[i];
all+=S[i];
l[i]--;
r[i]--;
ls[l[i]].push_back(i);
rs[r[i]].push_back(i);
}
for(int i=0;i<n;i++){
if(ls[i].empty() or rs[i].empty()){
cout<<"NO"<<'\n';
return 0;
}
}
int ans=0;
for(int i=0;i<2*n;i++){
if(vis[i]) continue;
int state=-1;
{
int cnt=0;
for(auto v:ls[l[i]]){
if(!vis[v]) cnt++;
}
if(cnt==1){
state=0;
}
}
{
int cnt=0;
for(auto v:rs[r[i]]){
if(!vis[v]) cnt++;
}
if(cnt==1){
state=1;
}
}
if(state==-1) continue;
int x=i;
while(x!=-1){
vis[x]=true;
int cnt=0;
int nxt;
if(state==0){
usedl[l[x]]=true;
state=1;
ans+=S[x];
for(auto v:rs[r[x]]){
if(!vis[v]){
cnt++;
nxt=v;
}
}
if(cnt==1) x=nxt;
else x=-1;
}
else{
usedr[r[x]]=true;
state=0;
for(auto v:ls[l[x]]){
if(!vis[v]){
cnt++;
nxt=v;
}
}
if(cnt==1) x=nxt;
else x=-1;
}
}
}
for(int i=0;i<n;i++){
{
int cnt=0;
for(auto v:ls[i]){
if(!vis[v]) cnt++;
}
if(!usedl[i] and cnt!=2){
cout<<"NO"<<'\n';
return 0;
}
}
{
int cnt=0;
for(auto v:rs[i]){
if(!vis[v]) cnt++;
}
if(!usedr[i] and cnt!=2){
cout<<"NO"<<'\n';
return 0;
}
}
}
vector<int> cand;
for(int i=0;i<2*n;i++){
if(vis[i]) continue;
int x=i;
int a=0;
int b=0;
int state=0;
while(x!=-1){
vis[x]=true;
if(state==0){
state=1;
a+=S[x];
bool tf=false;
for(auto v:ls[l[x]]){
if(!vis[v]){
x=v;
tf=true;
break;
}
}
if(!tf) x=-1;
}
else{
state=0;
b+=S[x];
bool tf=false;
for(auto v:rs[r[x]]){
if(!vis[v]){
x=v;
tf=true;
break;
}
}
if(!tf) x=-1;
}
}
ans+=a;
cand.push_back(b-a);
}
bitset<mxn*20> b;
b[ans]=1;
for(auto v:cand){
if(v>=0) b|=(b<<v);
else b|=(b>>(-v));
}
int cur=all/2;
while((all-cur)-cur<=k){
if(b[cur] or b[all-cur]){
cout<<"YES"<<'\n';
return 0;
}
cur--;
}
cout<<"NO"<<'\n';
return 0;
}
//maybe its multiset not set
//yeeorz
//laborz
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