#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <iostream>
#include <iomanip>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <vector>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef pair<db, db> pd;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int) (x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define sor(x) sort(all(x))
#define rsz resize
#define resz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define f1r(i, a, b) for(int i = (a); i < (b); ++i)
#define f0r(i, a) f1r(i, 0, a)
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define F0R(i, a) FOR(i,0,a)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); --i)
#define R0F(i, a) ROF(i, 0, a)
#define trav(a, x) for (auto& a : x)
mt19937 rng((uint32_t) chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template<class T> using V = vector<T>;
#ifdef LOCAL
#define dbg(...) debug(#__VA_ARGS__, __VA_ARGS__);
#else
#define dbg(...) 17;
#endif
template<typename T, typename S> ostream& operator << (ostream &os, const pair<T, S> &p) { return os << "(" << p.first << ", " << p.second << ")"; }
template<typename C, typename T = decay<decltype(*begin(declval<C>()))>, typename enable_if<!is_same<C, string>::value>::type* = nullptr>
ostream& operator << (ostream &os, const C &c) { bool f = true; os << "{"; for (const auto &x : c) { if (!f) os << ", "; f = false; os << x; } return os << "}"; }
template<typename T> void debug(string s, T x) { cerr << s << " = " << x << "\n"; }
template<typename T, typename... Args> void debug(string s, T x, Args... args) { cerr << s.substr(0, s.find(',')) << " = " << x << " | "; debug(s.substr(s.find(',') + 2), args...); }
constexpr int pct(int x) { return __builtin_popcount(x); }
constexpr int bits(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))
namespace input {
template<class T> void re(complex<T>& x);
template<class T1, class T2> void re(pair<T1, T2>& p);
template<class T> void re(vector<T>& a);
template<class T, int SZ> void re(array<T, SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(double& x) { string t; re(t); x = stod(t); }
void re(ld& x) { string t; re(t); x = stold(t); }
template<class T, class... Ts> void re(T& t, Ts&... ts) {
re(t); re(ts...); }
template<class T> void re(complex<T>& x) { T a, b; re(a, b); x = cd(a, b); }
template<class T1, class T2> void re(pair<T1, T2>& p) { re(p.f, p.s); }
template<class T> void re(vector<T>& a) { F0R(i, sz(a)) re(a[i]); }
template<class T, int SZ> void re(array<T, SZ>& a) { F0R(i, SZ) re(a[i]); }
}
using namespace input;
namespace output {
void pr(int x) { cout << x; }
void pr(long x) { cout << x; }
void pr(ll x) { cout << x; }
void pr(unsigned x) { cout << x; }
void pr(unsigned long x) { cout << x; }
void pr(unsigned long long x) { cout << x; }
void pr(float x) { cout << x; }
void pr(double x) { cout << x; }
void pr(ld x) { cout << x; }
void pr(char x) { cout << x; }
void pr(const char* x) { cout << x; }
void pr(const string& x) { cout << x; }
void pr(bool x) { pr(x ? "true" : "false"); }
template<class T> void pr(const complex<T>& x) { cout << x; }
template<class T1, class T2> void pr(const pair<T1, T2>& x);
template<class T> void pr(const T& x);
template<class T, class... Ts> void pr(const T& t, const Ts&... ts) {
pr(t); pr(ts...); }
template<class T1, class T2> void pr(const pair<T1,T2>& x) {
pr("{", x.f, ", ", x.s, "}"); }
template<class T> void pr(const T& x) {
pr("{"); // const iterator needed for vector<bool>
bool fst = 1; for (const auto& a: x) pr(!fst ? ", " : "", a), fst = 0;
pr("}"); }
void ps() { pr("\n"); } // print w/ spaces
template<class T, class... Ts> void ps(const T& t, const Ts&... ts) {
pr(t); if (sizeof...(ts)) pr(" "); ps(ts...); }
void pc() { pr("]\n"); } // debug w/ commas
template<class T, class... Ts> void pc(const T& t, const Ts&... ts) {
pr(t); if (sizeof...(ts)) pr(", "); pc(ts...); }
}
using namespace output;
namespace io {
void setIn(string s) { freopen(s.c_str(), "r", stdin); }
void setOut(string s) { freopen(s.c_str(), "w", stdout); }
void setIO(string s = "") {
cin.sync_with_stdio(0); cin.tie(0);
if (sz(s)) { setIn(s + ".in"), setOut(s + ".out"); }
}
}
using namespace io;
const int MOD = 1e9 + 7; // 998244353;
const ld PI = acos((ld) -1);
typedef std::decay <decltype(MOD)>::type mod_t;
struct mi {
mod_t val;
explicit operator mod_t() const { return val; }
mi() { val = 0; }
mi(const long long& v) {
val = (-MOD <= v && v <= MOD) ? v : v % MOD;
if (val < 0) val += MOD; }
friend std::istream& operator >> (std::istream& in, mi& a) {
long long x; std::cin >> x; a = mi(x); return in; }
friend std::ostream& operator << (std::ostream& os, const mi& a) { return os << a.val; }
friend bool operator == (const mi& a, const mi& b) { return a.val == b.val; }
friend bool operator != (const mi& a, const mi& b) { return !(a == b); }
friend bool operator < (const mi& a, const mi& b) { return a.val < b.val; }
friend bool operator > (const mi& a, const mi& b) { return a.val > b.val; }
friend bool operator <= (const mi& a, const mi& b) { return a.val <= b.val; }
friend bool operator >= (const mi& a, const mi& b) { return a.val >= b.val; }
mi operator - () const { return mi(-val); }
mi& operator += (const mi& m) {
if ((val += m.val) >= MOD) val -= MOD;
return *this; }
mi& operator -= (const mi& m) {
if ((val -= m.val) < 0) val += MOD;
return *this; }
mi& operator *= (const mi& m) { val = (long long) val * m.val % MOD;
return *this; }
friend mi pow(mi a, long long p) {
mi ans = 1; assert(p >= 0);
for (; p; p /= 2, a *= a) if (p & 1) ans *= a;
return ans; }
friend mi inv(const mi& a) { assert(a != 0); return pow(a, MOD - 2); }
mi& operator /= (const mi& m) { return (*this) *= inv(m); }
friend mi operator + (mi a, const mi& b) { return a += b; }
friend mi operator - (mi a, const mi& b) { return a -= b; }
friend mi operator * (mi a, const mi& b) { return a *= b; }
friend mi operator / (mi a, const mi& b) { return a /= b; }
};
typedef pair<mi, mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;
int main() {
const int INF = 1e9;
setIO("");
int n, k; re(n, k);
// right minus left
auto no = []() {
ps("NO");
exit(0);
};
auto yes = []() {
ps("YES");
exit(0);
};
vector<multiset<pi>> adj(2 * n);
f0r(i, 2 * n) {
int u, v, w; re(u, v, w);
u--, v--; v += n;
adj[u].emplace(v, w);
adj[v].emplace(u, -w);
}
multiset<pi> use;
f0r(i, 2 * n) {
if (sz(adj[i]) == 0) continue;
use.emplace(sz(adj[i]), i);
}
auto one_rem = [&](int u, int v, int w) {
// assert(use.find({sz(adj[u]), u}) != use.end());
use.erase(use.find({sz(adj[u]), u}));
assert(adj[u].find({v, w}) != adj[u].end());
adj[u].erase(adj[u].find({v, w}));
if (sz(adj[u]) == 0) return;
use.emplace(sz(adj[u]), u);
};
auto rem = [&](int u, int v, int w) {
one_rem(u, v, w);
one_rem(v, u, -w);
};
int diff = 0;
vector<int> vis(2 * n);
// these are forced
while (!use.empty()) {
auto beg = *use.begin();
if (beg.f > 1) break;
int u = beg.f;
int v = (*adj[u].begin()).f;
int w = (*adj[u].begin()).s;
// you delete the reverse edge also
rem(u, v, w);
vis[u] = 1;
diff += w;
}
vi can;
f0r(i, 2 * n) {
if (vis[i]) continue;
int val = 0;
int u = i;
int v, w;
for (auto nxt : adj[u]) {
if (vis[nxt.f] == 0) {
v = nxt.f;
w = nxt.s;
break;
}
}
// assert(adj[u].find({v, w}) != adj[u].end());
// assert(adj[v].find({u, -w}) != adj[v].end());
adj[u].erase(adj[u].find({v, w}));
adj[v].erase(adj[v].find({u, -w}));
// u to v weight w
val += w;
function<void(int)> dfs = [&](int src) {
vis[src] = 1;
for (auto nxt : adj[src]) {
int go = nxt.f;
int we = nxt.s;
if (vis[go]) {
continue;
} else {
val += we;
dfs(go);
}
}
};
dfs(v);
val = abs(val);
can.eb(val);
}
int res = 0;
f0r(i, 2 * n) res += vis[i];
if (res != 2 * n) no();
// sum stuff in can, add to diff, abs between -k, k
// you want to make a sum in the range of left, right
const int MX = 1e6 + 5;
const int ADD = MX / 2;
bitset<MX> B;
f0r(i, sz(can)) {
int x = can[i];
if (i == 0) {
B[x + ADD] = 1;
B[-x + ADD] = 1;
continue;
}
B <<= x;
B |= (B >> (2 * x));
}
f1r(i, -k - diff, k + diff + 1) {
int x = i+ADD;
if (B[x]) {
yes();
}
}
no();
return 0;
}
Compilation message
tug.cpp: In function 'int main()':
tug.cpp:208:15: warning: unused variable 'INF' [-Wunused-variable]
208 | const int INF = 1e9;
| ^~~
tug.cpp: In function 'void io::setIn(std::string)':
tug.cpp:153:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
153 | void setIn(string s) { freopen(s.c_str(), "r", stdin); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
tug.cpp: In function 'void io::setOut(std::string)':
tug.cpp:154:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
154 | void setOut(string s) { freopen(s.c_str(), "w", stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
tug.cpp: In function 'int main()':
tug.cpp:276:13: warning: 'v' may be used uninitialized in this function [-Wmaybe-uninitialized]
276 | int v, w;
| ^
tug.cpp:288:38: warning: 'w' may be used uninitialized in this function [-Wmaybe-uninitialized]
288 | adj[v].erase(adj[v].find({u, -w}));
| ^~
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
748 KB |
Output is correct |
| 2 |
Correct |
1 ms |
748 KB |
Output is correct |
| 3 |
Correct |
1 ms |
748 KB |
Output is correct |
| 4 |
Correct |
1 ms |
768 KB |
Output is correct |
| 5 |
Correct |
1 ms |
748 KB |
Output is correct |
| 6 |
Correct |
1 ms |
748 KB |
Output is correct |
| 7 |
Correct |
1 ms |
748 KB |
Output is correct |
| 8 |
Correct |
1 ms |
748 KB |
Output is correct |
| 9 |
Correct |
1 ms |
748 KB |
Output is correct |
| 10 |
Correct |
1 ms |
748 KB |
Output is correct |
| 11 |
Correct |
1 ms |
768 KB |
Output is correct |
| 12 |
Correct |
1 ms |
748 KB |
Output is correct |
| 13 |
Correct |
1 ms |
748 KB |
Output is correct |
| 14 |
Correct |
1 ms |
748 KB |
Output is correct |
| 15 |
Correct |
1 ms |
748 KB |
Output is correct |
| 16 |
Correct |
1 ms |
748 KB |
Output is correct |
| 17 |
Correct |
1 ms |
748 KB |
Output is correct |
| 18 |
Correct |
1 ms |
748 KB |
Output is correct |
| 19 |
Correct |
1 ms |
748 KB |
Output is correct |
| 20 |
Correct |
1 ms |
748 KB |
Output is correct |
| 21 |
Runtime error |
1 ms |
492 KB |
Execution killed with signal 6 (could be triggered by violating memory limits) |
| 22 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
748 KB |
Output is correct |
| 2 |
Correct |
1 ms |
748 KB |
Output is correct |
| 3 |
Correct |
1 ms |
748 KB |
Output is correct |
| 4 |
Correct |
1 ms |
768 KB |
Output is correct |
| 5 |
Correct |
1 ms |
748 KB |
Output is correct |
| 6 |
Correct |
1 ms |
748 KB |
Output is correct |
| 7 |
Correct |
1 ms |
748 KB |
Output is correct |
| 8 |
Correct |
1 ms |
748 KB |
Output is correct |
| 9 |
Correct |
1 ms |
748 KB |
Output is correct |
| 10 |
Correct |
1 ms |
748 KB |
Output is correct |
| 11 |
Correct |
1 ms |
768 KB |
Output is correct |
| 12 |
Correct |
1 ms |
748 KB |
Output is correct |
| 13 |
Correct |
1 ms |
748 KB |
Output is correct |
| 14 |
Correct |
1 ms |
748 KB |
Output is correct |
| 15 |
Correct |
1 ms |
748 KB |
Output is correct |
| 16 |
Correct |
1 ms |
748 KB |
Output is correct |
| 17 |
Correct |
1 ms |
748 KB |
Output is correct |
| 18 |
Correct |
1 ms |
748 KB |
Output is correct |
| 19 |
Correct |
1 ms |
748 KB |
Output is correct |
| 20 |
Correct |
1 ms |
748 KB |
Output is correct |
| 21 |
Runtime error |
1 ms |
492 KB |
Execution killed with signal 6 (could be triggered by violating memory limits) |
| 22 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
180 ms |
4588 KB |
Output is correct |
| 2 |
Runtime error |
19 ms |
8172 KB |
Execution killed with signal 6 (could be triggered by violating memory limits) |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
748 KB |
Output is correct |
| 2 |
Correct |
1 ms |
748 KB |
Output is correct |
| 3 |
Correct |
1 ms |
748 KB |
Output is correct |
| 4 |
Correct |
1 ms |
768 KB |
Output is correct |
| 5 |
Correct |
1 ms |
748 KB |
Output is correct |
| 6 |
Correct |
1 ms |
748 KB |
Output is correct |
| 7 |
Correct |
1 ms |
748 KB |
Output is correct |
| 8 |
Correct |
1 ms |
748 KB |
Output is correct |
| 9 |
Correct |
1 ms |
748 KB |
Output is correct |
| 10 |
Correct |
1 ms |
748 KB |
Output is correct |
| 11 |
Correct |
1 ms |
768 KB |
Output is correct |
| 12 |
Correct |
1 ms |
748 KB |
Output is correct |
| 13 |
Correct |
1 ms |
748 KB |
Output is correct |
| 14 |
Correct |
1 ms |
748 KB |
Output is correct |
| 15 |
Correct |
1 ms |
748 KB |
Output is correct |
| 16 |
Correct |
1 ms |
748 KB |
Output is correct |
| 17 |
Correct |
1 ms |
748 KB |
Output is correct |
| 18 |
Correct |
1 ms |
748 KB |
Output is correct |
| 19 |
Correct |
1 ms |
748 KB |
Output is correct |
| 20 |
Correct |
1 ms |
748 KB |
Output is correct |
| 21 |
Runtime error |
1 ms |
492 KB |
Execution killed with signal 6 (could be triggered by violating memory limits) |
| 22 |
Halted |
0 ms |
0 KB |
- |
