#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 60001;
int n, k, l[MX],r[MX],s[MX];
bitset<570001> b;
vi adj[MX];
int pre[MX], depth[MX];
bool visit[MX], cyc[MX];
pi oops;
int yes[2], no[2], mn, sum;
vi v;
vpi V;
void dfs(int x) {
visit[x] = 1; v.pb(x);
for (auto a: adj[x]) if (a != pre[x]) {
int t = l[a]+r[a]+n-x;
if (visit[t]) {
if (depth[t] < depth[x]) oops = {x,a};
} else {
pre[t] = a; depth[t] = depth[x]+1;
dfs(t);
}
}
}
int getSum(int x) { return l[x]+r[x]+n; }
void genCyc() {
V = {oops};
int fin = getSum(oops.s)-oops.f;
do {
int nex = getSum(pre[oops.f])-oops.f;
V.pb({nex,pre[oops.f]});
oops.f = nex;
} while (oops.f != fin);
}
void dfs2(int a, int pre) {
for (int i: adj[a]) if (i != pre) {
int t = l[i]+r[i]+n-a;
if (!cyc[t]) {
yes[t <= n] += s[i];
dfs2(t,i);
}
}
}
void solve(int x) {
v.clear(), V.clear();
F0R(i,2) yes[i] = no[i] = 0;
dfs(x);
int numEdge = 0;
for (int i: v) numEdge += sz(adj[i]);
if (numEdge != 2*sz(v)) {
cout << "NO";
exit(0);
}
genCyc();
for (auto i: V) cyc[i.f] = 1;
for (auto i: V) dfs2(i.f,0);
F0R(i,sz(V)) no[i&1] += s[V[i].s];
mn += min(yes[0]+no[0],yes[0]+no[1]);
b |= b<<(max(yes[0]+no[0],yes[0]+no[1])-min(yes[0]+no[0],yes[0]+no[1]));
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> k;
b[0] = 1;
FOR(i,1,2*n+1) {
cin >> l[i] >> r[i] >> s[i];
adj[l[i]].pb(i), adj[r[i]+n].pb(i);
sum += s[i];
}
FOR(i,1,2*n+1) if (!visit[i]) solve(i);
F0R(i,570001) if (b[i] == 1 && abs(2*i+2*mn-sum) <= k) {
cout << "YES";
exit(0);
}
cout << "NO";
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
2040 KB |
Output is correct |
2 |
Correct |
4 ms |
2156 KB |
Output is correct |
3 |
Correct |
6 ms |
2156 KB |
Output is correct |
4 |
Correct |
5 ms |
2156 KB |
Output is correct |
5 |
Correct |
5 ms |
2156 KB |
Output is correct |
6 |
Correct |
6 ms |
2156 KB |
Output is correct |
7 |
Correct |
5 ms |
2160 KB |
Output is correct |
8 |
Correct |
5 ms |
2288 KB |
Output is correct |
9 |
Correct |
5 ms |
2288 KB |
Output is correct |
10 |
Correct |
6 ms |
2288 KB |
Output is correct |
11 |
Correct |
5 ms |
2288 KB |
Output is correct |
12 |
Correct |
5 ms |
2288 KB |
Output is correct |
13 |
Correct |
4 ms |
2288 KB |
Output is correct |
14 |
Correct |
5 ms |
2288 KB |
Output is correct |
15 |
Correct |
4 ms |
2288 KB |
Output is correct |
16 |
Correct |
5 ms |
2288 KB |
Output is correct |
17 |
Correct |
4 ms |
2288 KB |
Output is correct |
18 |
Correct |
5 ms |
2288 KB |
Output is correct |
19 |
Correct |
4 ms |
2288 KB |
Output is correct |
20 |
Correct |
5 ms |
2288 KB |
Output is correct |
21 |
Correct |
5 ms |
2288 KB |
Output is correct |
22 |
Correct |
5 ms |
2288 KB |
Output is correct |
23 |
Correct |
6 ms |
2288 KB |
Output is correct |
24 |
Correct |
5 ms |
2288 KB |
Output is correct |
25 |
Correct |
5 ms |
2288 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
2040 KB |
Output is correct |
2 |
Correct |
4 ms |
2156 KB |
Output is correct |
3 |
Correct |
6 ms |
2156 KB |
Output is correct |
4 |
Correct |
5 ms |
2156 KB |
Output is correct |
5 |
Correct |
5 ms |
2156 KB |
Output is correct |
6 |
Correct |
6 ms |
2156 KB |
Output is correct |
7 |
Correct |
5 ms |
2160 KB |
Output is correct |
8 |
Correct |
5 ms |
2288 KB |
Output is correct |
9 |
Correct |
5 ms |
2288 KB |
Output is correct |
10 |
Correct |
6 ms |
2288 KB |
Output is correct |
11 |
Correct |
5 ms |
2288 KB |
Output is correct |
12 |
Correct |
5 ms |
2288 KB |
Output is correct |
13 |
Correct |
4 ms |
2288 KB |
Output is correct |
14 |
Correct |
5 ms |
2288 KB |
Output is correct |
15 |
Correct |
4 ms |
2288 KB |
Output is correct |
16 |
Correct |
5 ms |
2288 KB |
Output is correct |
17 |
Correct |
4 ms |
2288 KB |
Output is correct |
18 |
Correct |
5 ms |
2288 KB |
Output is correct |
19 |
Correct |
4 ms |
2288 KB |
Output is correct |
20 |
Correct |
5 ms |
2288 KB |
Output is correct |
21 |
Correct |
5 ms |
2288 KB |
Output is correct |
22 |
Correct |
5 ms |
2288 KB |
Output is correct |
23 |
Correct |
6 ms |
2288 KB |
Output is correct |
24 |
Correct |
5 ms |
2288 KB |
Output is correct |
25 |
Correct |
5 ms |
2288 KB |
Output is correct |
26 |
Correct |
76 ms |
2468 KB |
Output is correct |
27 |
Correct |
18 ms |
2468 KB |
Output is correct |
28 |
Correct |
109 ms |
2540 KB |
Output is correct |
29 |
Correct |
27 ms |
2540 KB |
Output is correct |
30 |
Correct |
76 ms |
2540 KB |
Output is correct |
31 |
Correct |
24 ms |
2540 KB |
Output is correct |
32 |
Correct |
114 ms |
2540 KB |
Output is correct |
33 |
Correct |
20 ms |
2540 KB |
Output is correct |
34 |
Correct |
14 ms |
2540 KB |
Output is correct |
35 |
Correct |
18 ms |
2540 KB |
Output is correct |
36 |
Correct |
77 ms |
2540 KB |
Output is correct |
37 |
Correct |
22 ms |
2540 KB |
Output is correct |
38 |
Correct |
85 ms |
2540 KB |
Output is correct |
39 |
Correct |
17 ms |
2540 KB |
Output is correct |
40 |
Correct |
77 ms |
2540 KB |
Output is correct |
41 |
Correct |
17 ms |
2540 KB |
Output is correct |
42 |
Correct |
90 ms |
2540 KB |
Output is correct |
43 |
Correct |
19 ms |
2540 KB |
Output is correct |
44 |
Correct |
84 ms |
2540 KB |
Output is correct |
45 |
Correct |
24 ms |
2540 KB |
Output is correct |
46 |
Correct |
78 ms |
2540 KB |
Output is correct |
47 |
Correct |
8 ms |
2540 KB |
Output is correct |
48 |
Correct |
43 ms |
2540 KB |
Output is correct |
49 |
Correct |
45 ms |
2540 KB |
Output is correct |
50 |
Correct |
95 ms |
2540 KB |
Output is correct |
51 |
Correct |
118 ms |
2540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
253 ms |
3308 KB |
Output is correct |
2 |
Correct |
24 ms |
3308 KB |
Output is correct |
3 |
Correct |
218 ms |
3308 KB |
Output is correct |
4 |
Correct |
18 ms |
3308 KB |
Output is correct |
5 |
Correct |
225 ms |
3308 KB |
Output is correct |
6 |
Correct |
15 ms |
3308 KB |
Output is correct |
7 |
Correct |
310 ms |
3308 KB |
Output is correct |
8 |
Correct |
15 ms |
3308 KB |
Output is correct |
9 |
Correct |
217 ms |
3308 KB |
Output is correct |
10 |
Correct |
14 ms |
3308 KB |
Output is correct |
11 |
Correct |
209 ms |
3308 KB |
Output is correct |
12 |
Correct |
17 ms |
3308 KB |
Output is correct |
13 |
Correct |
250 ms |
3356 KB |
Output is correct |
14 |
Correct |
263 ms |
3356 KB |
Output is correct |
15 |
Correct |
29 ms |
3356 KB |
Output is correct |
16 |
Correct |
234 ms |
3356 KB |
Output is correct |
17 |
Correct |
21 ms |
3356 KB |
Output is correct |
18 |
Correct |
211 ms |
3356 KB |
Output is correct |
19 |
Correct |
16 ms |
3356 KB |
Output is correct |
20 |
Correct |
205 ms |
3356 KB |
Output is correct |
21 |
Correct |
19 ms |
3356 KB |
Output is correct |
22 |
Correct |
116 ms |
3448 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
2040 KB |
Output is correct |
2 |
Correct |
4 ms |
2156 KB |
Output is correct |
3 |
Correct |
6 ms |
2156 KB |
Output is correct |
4 |
Correct |
5 ms |
2156 KB |
Output is correct |
5 |
Correct |
5 ms |
2156 KB |
Output is correct |
6 |
Correct |
6 ms |
2156 KB |
Output is correct |
7 |
Correct |
5 ms |
2160 KB |
Output is correct |
8 |
Correct |
5 ms |
2288 KB |
Output is correct |
9 |
Correct |
5 ms |
2288 KB |
Output is correct |
10 |
Correct |
6 ms |
2288 KB |
Output is correct |
11 |
Correct |
5 ms |
2288 KB |
Output is correct |
12 |
Correct |
5 ms |
2288 KB |
Output is correct |
13 |
Correct |
4 ms |
2288 KB |
Output is correct |
14 |
Correct |
5 ms |
2288 KB |
Output is correct |
15 |
Correct |
4 ms |
2288 KB |
Output is correct |
16 |
Correct |
5 ms |
2288 KB |
Output is correct |
17 |
Correct |
4 ms |
2288 KB |
Output is correct |
18 |
Correct |
5 ms |
2288 KB |
Output is correct |
19 |
Correct |
4 ms |
2288 KB |
Output is correct |
20 |
Correct |
5 ms |
2288 KB |
Output is correct |
21 |
Correct |
5 ms |
2288 KB |
Output is correct |
22 |
Correct |
5 ms |
2288 KB |
Output is correct |
23 |
Correct |
6 ms |
2288 KB |
Output is correct |
24 |
Correct |
5 ms |
2288 KB |
Output is correct |
25 |
Correct |
5 ms |
2288 KB |
Output is correct |
26 |
Correct |
76 ms |
2468 KB |
Output is correct |
27 |
Correct |
18 ms |
2468 KB |
Output is correct |
28 |
Correct |
109 ms |
2540 KB |
Output is correct |
29 |
Correct |
27 ms |
2540 KB |
Output is correct |
30 |
Correct |
76 ms |
2540 KB |
Output is correct |
31 |
Correct |
24 ms |
2540 KB |
Output is correct |
32 |
Correct |
114 ms |
2540 KB |
Output is correct |
33 |
Correct |
20 ms |
2540 KB |
Output is correct |
34 |
Correct |
14 ms |
2540 KB |
Output is correct |
35 |
Correct |
18 ms |
2540 KB |
Output is correct |
36 |
Correct |
77 ms |
2540 KB |
Output is correct |
37 |
Correct |
22 ms |
2540 KB |
Output is correct |
38 |
Correct |
85 ms |
2540 KB |
Output is correct |
39 |
Correct |
17 ms |
2540 KB |
Output is correct |
40 |
Correct |
77 ms |
2540 KB |
Output is correct |
41 |
Correct |
17 ms |
2540 KB |
Output is correct |
42 |
Correct |
90 ms |
2540 KB |
Output is correct |
43 |
Correct |
19 ms |
2540 KB |
Output is correct |
44 |
Correct |
84 ms |
2540 KB |
Output is correct |
45 |
Correct |
24 ms |
2540 KB |
Output is correct |
46 |
Correct |
78 ms |
2540 KB |
Output is correct |
47 |
Correct |
8 ms |
2540 KB |
Output is correct |
48 |
Correct |
43 ms |
2540 KB |
Output is correct |
49 |
Correct |
45 ms |
2540 KB |
Output is correct |
50 |
Correct |
95 ms |
2540 KB |
Output is correct |
51 |
Correct |
118 ms |
2540 KB |
Output is correct |
52 |
Correct |
253 ms |
3308 KB |
Output is correct |
53 |
Correct |
24 ms |
3308 KB |
Output is correct |
54 |
Correct |
218 ms |
3308 KB |
Output is correct |
55 |
Correct |
18 ms |
3308 KB |
Output is correct |
56 |
Correct |
225 ms |
3308 KB |
Output is correct |
57 |
Correct |
15 ms |
3308 KB |
Output is correct |
58 |
Correct |
310 ms |
3308 KB |
Output is correct |
59 |
Correct |
15 ms |
3308 KB |
Output is correct |
60 |
Correct |
217 ms |
3308 KB |
Output is correct |
61 |
Correct |
14 ms |
3308 KB |
Output is correct |
62 |
Correct |
209 ms |
3308 KB |
Output is correct |
63 |
Correct |
17 ms |
3308 KB |
Output is correct |
64 |
Correct |
250 ms |
3356 KB |
Output is correct |
65 |
Correct |
263 ms |
3356 KB |
Output is correct |
66 |
Correct |
29 ms |
3356 KB |
Output is correct |
67 |
Correct |
234 ms |
3356 KB |
Output is correct |
68 |
Correct |
21 ms |
3356 KB |
Output is correct |
69 |
Correct |
211 ms |
3356 KB |
Output is correct |
70 |
Correct |
16 ms |
3356 KB |
Output is correct |
71 |
Correct |
205 ms |
3356 KB |
Output is correct |
72 |
Correct |
19 ms |
3356 KB |
Output is correct |
73 |
Correct |
116 ms |
3448 KB |
Output is correct |
74 |
Correct |
1122 ms |
5396 KB |
Output is correct |
75 |
Correct |
124 ms |
5484 KB |
Output is correct |
76 |
Correct |
1154 ms |
5528 KB |
Output is correct |
77 |
Correct |
109 ms |
5528 KB |
Output is correct |
78 |
Correct |
1393 ms |
5528 KB |
Output is correct |
79 |
Correct |
1169 ms |
5528 KB |
Output is correct |
80 |
Correct |
176 ms |
5528 KB |
Output is correct |
81 |
Correct |
128 ms |
5528 KB |
Output is correct |
82 |
Correct |
1392 ms |
5528 KB |
Output is correct |
83 |
Correct |
1351 ms |
5528 KB |
Output is correct |
84 |
Correct |
126 ms |
5528 KB |
Output is correct |
85 |
Correct |
1136 ms |
5528 KB |
Output is correct |
86 |
Correct |
114 ms |
5528 KB |
Output is correct |
87 |
Correct |
1162 ms |
5528 KB |
Output is correct |
88 |
Correct |
155 ms |
6252 KB |
Output is correct |
89 |
Correct |
1378 ms |
7120 KB |
Output is correct |
90 |
Correct |
159 ms |
7848 KB |
Output is correct |
91 |
Correct |
1220 ms |
8668 KB |
Output is correct |
92 |
Correct |
124 ms |
9576 KB |
Output is correct |
93 |
Correct |
1304 ms |
10412 KB |
Output is correct |
94 |
Correct |
80 ms |
10412 KB |
Output is correct |
95 |
Correct |
709 ms |
12056 KB |
Output is correct |
96 |
Correct |
718 ms |
12840 KB |
Output is correct |
97 |
Correct |
1519 ms |
13532 KB |
Output is correct |
98 |
Correct |
1290 ms |
14428 KB |
Output is correct |