이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
/*
Author: Nguyen Tan Bao
Status:
Idea:
*/
#include <bits/stdc++.h>
#define FI first
#define SE second
#define EPS 1e-9
#define ALL(a) a.begin(),a.end()
#define SZ(a) int((a).size())
#define MS(s, n) memset(s, n, sizeof(s))
#define FOR(i,a,b) for (int i = (a); i <= (b); i++)
#define FORE(i,a,b) for (int i = (a); i >= (b); i--)
#define FORALL(it, a) for (__typeof((a).begin()) it = (a).begin(); it != (a).end(); it++)
//__builtin_ffs(x) return 1 + index of least significant 1-bit of x
//__builtin_clz(x) return number of leading zeros of x
//__builtin_ctz(x) return number of trailing zeros of x
using namespace std;
using ll = long long;
using ld = double;
typedef pair<int, int> II;
typedef pair<int, II> III;
typedef complex<ld> cd;
typedef vector<cd> vcd;
const ll MODBASE = 1000000007LL;
const int MAXN = 60010;
const int MAXM = 600010;
const int MAXK = 110;
const int MAXQ = 200010;
int n, k, deg[MAXN], diff;
multiset<II> a[MAXN];
queue<int> q;
bool visited[MAXN];
vector<int> dp;
bitset<MAXM> kns;
void dfs(int u) {
visited[u] = true;
if (SZ(a[u]) == 0) return;
int v = a[u].begin()->FI;
int c = a[u].begin()->SE;
a[u].erase(a[u].begin());
a[v].erase(a[v].find(II(u, c)));
if (u < n) diff += c;
else diff -= c;
dfs(v);
}
int main() {
ios::sync_with_stdio(0);
cin.tie(nullptr);
cin >> n >> k;
FOR(i,1,2*n) {
int u, v, c;
cin >> u >> v >> c;
u--;
v--; v += n;
a[u].insert(II(v, c));
a[v].insert(II(u, c));
deg[u]++;
deg[v]++;
}
FOR(i,0,2*n-1)
if (deg[i] == 1) q.push(i);
while (!q.empty()) {
int u = q.front(); q.pop();
visited[u] = true;
if (SZ(a[u]) == 0) continue;
int v = a[u].begin()->FI;
int c = a[u].begin()->SE;
a[u].erase(a[u].begin());
deg[u]--;
deg[v]--;
a[v].erase(a[v].find(II(u, c)));
if (deg[v] == 1) q.push(v);
if (u < n) diff += c;
else diff -= c;
}
if (diff) {
dp.push_back(abs(diff));
diff = 0;
}
FOR(i,0,2*n-1) {
if (!visited[i]) {
if (deg[i] != 2) {
cout << "NO";
return 0;
}
dfs(i);
if (diff) {
dp.push_back(abs(diff));
diff = 0;
}
}
}
sort(dp.rbegin(), dp.rend());
if (SZ(dp) == 0) {
cout << "YES\n";
return 0;
}
kns[MAXM/2] = 1;
FOR(i,0,SZ(dp)-1) kns = (kns<<dp[i]) | (kns>>dp[i]);
bool res = false;
FOR(i,MAXM/2,MAXM/2+k) res |= kns[i];
if (res) cout << "YES";
else cout << "NO";
return 0;
}
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