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 <algorithm>
#include <numeric>
#include <iostream>
#include <cstring>
#include <cmath>
#include <vector>
#include <stack>
#include <queue>
#include <set>
#include <map>
#include <bitset>
using namespace std;
typedef long long ll;
const int maxn = 12e4+10;
bitset<maxn> dp;
vector<int> G[maxn];
int lfts[maxn];
int rits[maxn];
int strn[maxn];
set<int> conts[maxn];
bool vis[maxn];
int dfs(int v)
{
vis[v] = true;
int out = strn[v];
for(int u: G[v])
{
if(vis[u]) continue;
out -= dfs(u);
}
return out;
}
inline void die()
{
cout << "NO" << endl;
return exit(0);
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
int n, k; cin >> n >> k;
for(int i = 0; i < 2*n; i++)
{
cin >> lfts[i] >> rits[i] >> strn[i];
lfts[i]--; rits[i]--;
rits[i] += n;
conts[lfts[i]].insert(i);
conts[rits[i]].insert(i);
}
queue<int> theq;
for(int i = 0; i < 2*n; i++)
{
if(conts[i].size() == 0)
die();
if(conts[i].size() == 1)
theq.push(i);
}
int dsum = 0; // diff sum
while(!theq.empty())
{
int t = theq.front(); theq.pop();
int i = *conts[t].begin();
int r = lfts[i] + rits[i] - t;
vis[i] = true;
conts[t].erase(i);
conts[r].erase(i);
if(conts[r].size() == 0)
die();
if(conts[r].size() == 1)
theq.push(r);
dsum += strn[i] * ( (t/n) * 2 - 1 );
//cerr << t << endl;
}
dsum = abs(dsum);
for(int i = 0; i < 2*n; i++)
{
if(conts[i].size() != 2) continue;
int x = *conts[i].begin();
int y = *(++conts[i].begin());
G[x].push_back(y);
G[y].push_back(x);
}
dp[0] = true;
int tsum = 0;
for(int v = 0; v < 2*n; v++)
{
if(vis[v]) continue;
int x = abs(dfs(v));
//cerr << x << endl;
dp = dp | (dp << x);
tsum += x;
}
bool ans = false;
for(int i = 0; i < maxn; i++)
{
if(!dp[i]) continue;
ans = ans or (abs(tsum-i-i-dsum) <= k);
ans = ans or (abs(tsum-i-i+dsum) <= k);
}
if(ans)
cout << "YES" << endl;
else
die();
return 0;
}
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