#include<bits/stdc++.h>
using namespace std;
int n,k;
vector<pair<pair<int,int>,int>>all;
vector<set<int>>fa,fb;
int res=0,now=0;
int unnow=0;
vector<int>vis;
vector<int>allp;
vector<int>bf;
set<int>alla,allb;
void del(int u,int z){
if(u==-1||vis[u]==1){
return ;
}
vis[u]=1;
int next=-1;
if(z==1){
allb.insert(all[u].first.second);
unnow-=all[u].second;
fb[all[u].first.second].erase(u);
fa[all[u].first.first].erase(u);
if((int)fa[all[u].first.first].size()==1){
next=*(fa[all[u].first.first].begin());
}
}
else{
unnow+=all[u].second;
alla.insert(all[u].first.first);
fb[all[u].first.second].erase(u);
fa[all[u].first.first].erase(u);
if((int)fb[all[u].first.second].size()==1){
next=*(fb[all[u].first.second].begin());
}
}
del(next,(z^1));
}
void bfs(int z){
if(bf.size()==0){
return ;
}
// cout<<bf[0]<<" "<<z<<" "<<allp.size()<<endl;
vis[bf[0]]=1;
for(auto x:bf){
if(z==1){
res-=all[x].second;
allb.insert(all[x].first.second);
fb[all[x].first.second].erase(x);
}
else{
res+=all[x].second;
alla.insert(all[x].first.first);
fa[all[x].first.first].erase(x);
}
}
vector<int>fake;
for(auto x:bf){
if(z==1){
for(auto y:fb[all[x].first.second]){
int v=y;
if(vis[v]==0){
vis[v]=1;
fake.push_back(v);
}
}
}
else{
for(auto y:fa[all[x].first.first]){
int v=y;
if(vis[v]==0){
vis[v]=1;
fake.push_back(v);
}
}
}
}
bf.swap(fake);
bfs((z^1));
}
const int mid=20*30000+10;
void solve(){
bitset<mid*2>bt;
bt[mid]=1;
for(int i=0;i<(int)allp.size();i++){
int x=allp[i];
bitset<mid*2>fake,fakea;
fake=(bt>>x);
fakea=(bt<<x);
bt=(fake|fakea);
}
for(int i=mid-k+unnow;i<=mid+k+unnow;i++){
if(bt[i]==1){
cout<<"YES\n";
exit(0);
}
}
cout<<"NO\n";
exit(0);
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>k;
vis.resize(n*2+1);
fa.resize(n+1),fb.resize(n+1);
all.resize(n*2);
for(int i=0;i<n*2;i++){
cin>>all[i].first.first>>all[i].first.second>>all[i].second;
}
for(int i=0;i<2*n;i++){
fa[all[i].first.first].insert(i);
fb[all[i].first.second].insert(i);
}
for(int i=1;i<=n;i++){
if((int)fa[i].size()==1){
auto x=*(fa[i].begin());
del(x,0);
}
if((int)fb[i].size()==1){
auto x=*(fb[i].begin());
del(x,1);
}
}
for(int i=0;i<n*2;i++){
if(vis[i]==0){
bf.push_back(i);
res=0;
bfs(1);
allp.push_back(abs(res));
}
}
if((int)alla.size()!=n||(int)allb.size()!=n){
cout<<"NO\n";
exit(0);
}
solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
852 KB |
Output is correct |
2 |
Correct |
1 ms |
852 KB |
Output is correct |
3 |
Correct |
1 ms |
852 KB |
Output is correct |
4 |
Correct |
1 ms |
852 KB |
Output is correct |
5 |
Correct |
2 ms |
852 KB |
Output is correct |
6 |
Correct |
1 ms |
852 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
852 KB |
Output is correct |
9 |
Correct |
1 ms |
852 KB |
Output is correct |
10 |
Correct |
1 ms |
852 KB |
Output is correct |
11 |
Correct |
1 ms |
852 KB |
Output is correct |
12 |
Correct |
2 ms |
852 KB |
Output is correct |
13 |
Correct |
1 ms |
852 KB |
Output is correct |
14 |
Correct |
1 ms |
852 KB |
Output is correct |
15 |
Correct |
1 ms |
852 KB |
Output is correct |
16 |
Correct |
1 ms |
852 KB |
Output is correct |
17 |
Correct |
2 ms |
852 KB |
Output is correct |
18 |
Correct |
1 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
852 KB |
Output is correct |
20 |
Correct |
1 ms |
852 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
852 KB |
Output is correct |
23 |
Correct |
1 ms |
852 KB |
Output is correct |
24 |
Correct |
1 ms |
852 KB |
Output is correct |
25 |
Correct |
1 ms |
852 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
852 KB |
Output is correct |
2 |
Correct |
1 ms |
852 KB |
Output is correct |
3 |
Correct |
1 ms |
852 KB |
Output is correct |
4 |
Correct |
1 ms |
852 KB |
Output is correct |
5 |
Correct |
2 ms |
852 KB |
Output is correct |
6 |
Correct |
1 ms |
852 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
852 KB |
Output is correct |
9 |
Correct |
1 ms |
852 KB |
Output is correct |
10 |
Correct |
1 ms |
852 KB |
Output is correct |
11 |
Correct |
1 ms |
852 KB |
Output is correct |
12 |
Correct |
2 ms |
852 KB |
Output is correct |
13 |
Correct |
1 ms |
852 KB |
Output is correct |
14 |
Correct |
1 ms |
852 KB |
Output is correct |
15 |
Correct |
1 ms |
852 KB |
Output is correct |
16 |
Correct |
1 ms |
852 KB |
Output is correct |
17 |
Correct |
2 ms |
852 KB |
Output is correct |
18 |
Correct |
1 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
852 KB |
Output is correct |
20 |
Correct |
1 ms |
852 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
852 KB |
Output is correct |
23 |
Correct |
1 ms |
852 KB |
Output is correct |
24 |
Correct |
1 ms |
852 KB |
Output is correct |
25 |
Correct |
1 ms |
852 KB |
Output is correct |
26 |
Correct |
145 ms |
1520 KB |
Output is correct |
27 |
Correct |
20 ms |
1492 KB |
Output is correct |
28 |
Correct |
125 ms |
1576 KB |
Output is correct |
29 |
Correct |
20 ms |
1488 KB |
Output is correct |
30 |
Correct |
131 ms |
1588 KB |
Output is correct |
31 |
Correct |
20 ms |
1492 KB |
Output is correct |
32 |
Correct |
125 ms |
1572 KB |
Output is correct |
33 |
Correct |
20 ms |
1492 KB |
Output is correct |
34 |
Correct |
12 ms |
1556 KB |
Output is correct |
35 |
Correct |
22 ms |
1576 KB |
Output is correct |
36 |
Correct |
135 ms |
1576 KB |
Output is correct |
37 |
Correct |
21 ms |
1492 KB |
Output is correct |
38 |
Correct |
136 ms |
1568 KB |
Output is correct |
39 |
Correct |
20 ms |
1492 KB |
Output is correct |
40 |
Correct |
132 ms |
1572 KB |
Output is correct |
41 |
Correct |
22 ms |
1516 KB |
Output is correct |
42 |
Correct |
128 ms |
1492 KB |
Output is correct |
43 |
Correct |
21 ms |
1492 KB |
Output is correct |
44 |
Correct |
133 ms |
1572 KB |
Output is correct |
45 |
Correct |
20 ms |
1568 KB |
Output is correct |
46 |
Correct |
148 ms |
1572 KB |
Output is correct |
47 |
Correct |
3 ms |
980 KB |
Output is correct |
48 |
Correct |
71 ms |
1576 KB |
Output is correct |
49 |
Correct |
66 ms |
1580 KB |
Output is correct |
50 |
Correct |
128 ms |
1504 KB |
Output is correct |
51 |
Correct |
128 ms |
1580 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
418 ms |
4156 KB |
Output is correct |
2 |
Correct |
14 ms |
3620 KB |
Output is correct |
3 |
Correct |
399 ms |
4388 KB |
Output is correct |
4 |
Correct |
20 ms |
3660 KB |
Output is correct |
5 |
Correct |
362 ms |
4388 KB |
Output is correct |
6 |
Correct |
17 ms |
3616 KB |
Output is correct |
7 |
Correct |
389 ms |
4376 KB |
Output is correct |
8 |
Correct |
14 ms |
3668 KB |
Output is correct |
9 |
Correct |
423 ms |
4376 KB |
Output is correct |
10 |
Correct |
15 ms |
3668 KB |
Output is correct |
11 |
Correct |
395 ms |
4380 KB |
Output is correct |
12 |
Correct |
15 ms |
3668 KB |
Output is correct |
13 |
Correct |
360 ms |
4316 KB |
Output is correct |
14 |
Correct |
364 ms |
4372 KB |
Output is correct |
15 |
Correct |
16 ms |
3720 KB |
Output is correct |
16 |
Correct |
361 ms |
4376 KB |
Output is correct |
17 |
Correct |
18 ms |
3636 KB |
Output is correct |
18 |
Correct |
375 ms |
4428 KB |
Output is correct |
19 |
Correct |
14 ms |
3668 KB |
Output is correct |
20 |
Correct |
398 ms |
4384 KB |
Output is correct |
21 |
Correct |
17 ms |
3788 KB |
Output is correct |
22 |
Correct |
196 ms |
4320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
852 KB |
Output is correct |
2 |
Correct |
1 ms |
852 KB |
Output is correct |
3 |
Correct |
1 ms |
852 KB |
Output is correct |
4 |
Correct |
1 ms |
852 KB |
Output is correct |
5 |
Correct |
2 ms |
852 KB |
Output is correct |
6 |
Correct |
1 ms |
852 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
852 KB |
Output is correct |
9 |
Correct |
1 ms |
852 KB |
Output is correct |
10 |
Correct |
1 ms |
852 KB |
Output is correct |
11 |
Correct |
1 ms |
852 KB |
Output is correct |
12 |
Correct |
2 ms |
852 KB |
Output is correct |
13 |
Correct |
1 ms |
852 KB |
Output is correct |
14 |
Correct |
1 ms |
852 KB |
Output is correct |
15 |
Correct |
1 ms |
852 KB |
Output is correct |
16 |
Correct |
1 ms |
852 KB |
Output is correct |
17 |
Correct |
2 ms |
852 KB |
Output is correct |
18 |
Correct |
1 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
852 KB |
Output is correct |
20 |
Correct |
1 ms |
852 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
852 KB |
Output is correct |
23 |
Correct |
1 ms |
852 KB |
Output is correct |
24 |
Correct |
1 ms |
852 KB |
Output is correct |
25 |
Correct |
1 ms |
852 KB |
Output is correct |
26 |
Correct |
145 ms |
1520 KB |
Output is correct |
27 |
Correct |
20 ms |
1492 KB |
Output is correct |
28 |
Correct |
125 ms |
1576 KB |
Output is correct |
29 |
Correct |
20 ms |
1488 KB |
Output is correct |
30 |
Correct |
131 ms |
1588 KB |
Output is correct |
31 |
Correct |
20 ms |
1492 KB |
Output is correct |
32 |
Correct |
125 ms |
1572 KB |
Output is correct |
33 |
Correct |
20 ms |
1492 KB |
Output is correct |
34 |
Correct |
12 ms |
1556 KB |
Output is correct |
35 |
Correct |
22 ms |
1576 KB |
Output is correct |
36 |
Correct |
135 ms |
1576 KB |
Output is correct |
37 |
Correct |
21 ms |
1492 KB |
Output is correct |
38 |
Correct |
136 ms |
1568 KB |
Output is correct |
39 |
Correct |
20 ms |
1492 KB |
Output is correct |
40 |
Correct |
132 ms |
1572 KB |
Output is correct |
41 |
Correct |
22 ms |
1516 KB |
Output is correct |
42 |
Correct |
128 ms |
1492 KB |
Output is correct |
43 |
Correct |
21 ms |
1492 KB |
Output is correct |
44 |
Correct |
133 ms |
1572 KB |
Output is correct |
45 |
Correct |
20 ms |
1568 KB |
Output is correct |
46 |
Correct |
148 ms |
1572 KB |
Output is correct |
47 |
Correct |
3 ms |
980 KB |
Output is correct |
48 |
Correct |
71 ms |
1576 KB |
Output is correct |
49 |
Correct |
66 ms |
1580 KB |
Output is correct |
50 |
Correct |
128 ms |
1504 KB |
Output is correct |
51 |
Correct |
128 ms |
1580 KB |
Output is correct |
52 |
Correct |
418 ms |
4156 KB |
Output is correct |
53 |
Correct |
14 ms |
3620 KB |
Output is correct |
54 |
Correct |
399 ms |
4388 KB |
Output is correct |
55 |
Correct |
20 ms |
3660 KB |
Output is correct |
56 |
Correct |
362 ms |
4388 KB |
Output is correct |
57 |
Correct |
17 ms |
3616 KB |
Output is correct |
58 |
Correct |
389 ms |
4376 KB |
Output is correct |
59 |
Correct |
14 ms |
3668 KB |
Output is correct |
60 |
Correct |
423 ms |
4376 KB |
Output is correct |
61 |
Correct |
15 ms |
3668 KB |
Output is correct |
62 |
Correct |
395 ms |
4380 KB |
Output is correct |
63 |
Correct |
15 ms |
3668 KB |
Output is correct |
64 |
Correct |
360 ms |
4316 KB |
Output is correct |
65 |
Correct |
364 ms |
4372 KB |
Output is correct |
66 |
Correct |
16 ms |
3720 KB |
Output is correct |
67 |
Correct |
361 ms |
4376 KB |
Output is correct |
68 |
Correct |
18 ms |
3636 KB |
Output is correct |
69 |
Correct |
375 ms |
4428 KB |
Output is correct |
70 |
Correct |
14 ms |
3668 KB |
Output is correct |
71 |
Correct |
398 ms |
4384 KB |
Output is correct |
72 |
Correct |
17 ms |
3788 KB |
Output is correct |
73 |
Correct |
196 ms |
4320 KB |
Output is correct |
74 |
Correct |
1928 ms |
11356 KB |
Output is correct |
75 |
Correct |
136 ms |
11052 KB |
Output is correct |
76 |
Correct |
1981 ms |
11352 KB |
Output is correct |
77 |
Correct |
149 ms |
11072 KB |
Output is correct |
78 |
Correct |
2064 ms |
11360 KB |
Output is correct |
79 |
Correct |
2212 ms |
11364 KB |
Output is correct |
80 |
Correct |
163 ms |
11128 KB |
Output is correct |
81 |
Correct |
196 ms |
11076 KB |
Output is correct |
82 |
Correct |
1996 ms |
11368 KB |
Output is correct |
83 |
Correct |
1924 ms |
11352 KB |
Output is correct |
84 |
Correct |
155 ms |
11212 KB |
Output is correct |
85 |
Correct |
1949 ms |
11364 KB |
Output is correct |
86 |
Correct |
152 ms |
11060 KB |
Output is correct |
87 |
Correct |
1967 ms |
11364 KB |
Output is correct |
88 |
Correct |
133 ms |
11084 KB |
Output is correct |
89 |
Correct |
1874 ms |
11352 KB |
Output is correct |
90 |
Correct |
143 ms |
11100 KB |
Output is correct |
91 |
Correct |
1931 ms |
11360 KB |
Output is correct |
92 |
Correct |
142 ms |
11128 KB |
Output is correct |
93 |
Correct |
1927 ms |
11364 KB |
Output is correct |
94 |
Correct |
73 ms |
10624 KB |
Output is correct |
95 |
Correct |
1010 ms |
11284 KB |
Output is correct |
96 |
Correct |
1046 ms |
11228 KB |
Output is correct |
97 |
Correct |
2019 ms |
11368 KB |
Output is correct |
98 |
Correct |
2013 ms |
11356 KB |
Output is correct |