This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int N = 30005;
int n, k, X, Y;
bitset<N * 20> dp;
multiset<pair<int, int>> g[2 * N];
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n >> k;
for (int i = 0; i < 2 * n; i ++){
int l, r, s;
cin >> l >> r >> s;
r += n;
g[l].insert({r, s});
g[r].insert({l, s});
}
set<pair<int, int>> st;
for (int i = 1; i <= 2 * n; i ++)
st.insert({g[i].size(), i});
while (!st.empty()){
auto p = *st.begin();
st.erase(st.begin());
if (p.first > 1) break;
if (p.first == 0){
cout << "NO" << endl;
return 0;
}
int v = p.second;
auto q = *g[v].begin();
int u = q.first;
if (v <= n)
X += q.second;
else
Y += q.second;
g[v].clear();
st.erase({g[u].size(), u});
auto it = g[u].lower_bound({v, q.second});
g[u].erase(it);
st.insert({g[u].size(), u});
}
int cyc = -1;
int tmp = 1;
int dif = 0;
int nxt = -1;
if (!st.empty())
nxt = (*st.begin()).second;
vector<int> vec;
while (!st.empty()){
int v = nxt;
st.erase({g[v].size(), v});
auto q = *g[v].begin();
int u = q.first;
int s = q.second;
nxt = u;
if (cyc == -1){
cyc = v;
dif += s * tmp;
tmp *= -1;
st.erase({g[u].size(), u});
auto it = g[u].lower_bound({v, s});
g[u].erase(it);
st.insert({g[u].size(), u});
}
else{
dif += s * tmp;
tmp *= -1;
if (u == cyc){
vec.push_back(abs(dif));
cyc = -1;
dif = 0;
tmp = 1;
if (!st.empty())
nxt = (*st.begin()).second;
}
else{
st.erase({g[u].size(), u});
g[u].erase({v, s});
st.insert({g[u].size(), u});
}
}
}
int total = 0;
for (int x : vec)
total += x;
if (total >= N * 20){
cout << "ASDFASF" << endl;
return 0;
}
dp[0] = 1;
for (int x : vec)
dp |= (dp << x);
for (int sm = 0; sm <= total; sm ++){
if (dp[sm]){
if (abs((X + sm) - (total - sm + Y)) <= k){
cout << "YES" << endl;
return 0;
}
}
}
cout << "NO" << endl;
return 0;
}
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