#include<bits/stdc++.h>
#include <immintrin.h>
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define sz(c) ((int)(c).size())
#define ten(x) ((int)1e##x)
#define all(v) (v).begin(), (v).end()
using namespace std;
using ll=long long;
using P = pair<ll,ll>;
const long double PI=acos(-1);
const ll INF=1e18;
const int inf=1e9;
struct Edge {
ll to;
ll cost;
};
using Graph=vector<vector<Edge>>;
template <typename T>
bool chmax(T &a,const T& b){
if (a<b){
a=b;
return true;
}
return false;
}
template <typename T>
bool chmin(T &a,const T& b){
if (a>b){
a=b;
return true;
}
return false;
}
template<int MOD> struct Fp{
ll val;
constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
if (val < 0) val += MOD;
}
static constexpr int getmod() { return MOD; }
constexpr Fp operator - () const noexcept {
return val ? MOD - val : 0;
}
constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
constexpr Fp& operator += (const Fp& r) noexcept {
val += r.val;
if (val >= MOD) val -= MOD;
return *this;
}
constexpr Fp& operator -= (const Fp& r) noexcept {
val -= r.val;
if (val < 0) val += MOD;
return *this;
}
constexpr Fp& operator *= (const Fp& r) noexcept {
val = val * r.val % MOD;
return *this;
}
constexpr Fp& operator /= (const Fp& r) noexcept {
ll a = r.val, b = MOD, u = 1, v = 0;
while (b) {
ll t = a / b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
val = val * u % MOD;
if (val < 0) val += MOD;
return *this;
}
constexpr bool operator == (const Fp& r) const noexcept {
return this->val == r.val;
}
constexpr bool operator != (const Fp& r) const noexcept {
return this->val != r.val;
}
constexpr bool operator < (const Fp& r) const noexcept {
return this->val < r.val;
}
friend constexpr istream& operator >> (istream& is, Fp<MOD>& x) noexcept {
is >> x.val;
x.val %= MOD;
if (x.val < 0) x.val += MOD;
return is;
}
friend constexpr ostream& operator << (ostream& os, const Fp<MOD>& x) noexcept {
return os << x.val;
}
friend constexpr Fp<MOD> modpow(const Fp<MOD>& a, long long n) noexcept {
Fp<MOD> res=1,r=a;
while(n){
if(n&1) res*=r;
r*=r;
n>>=1;
}
return res;
}
friend constexpr Fp<MOD> modinv(const Fp<MOD>& r) noexcept {
long long a = r.val, b = MOD, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
return Fp<MOD>(u);
}
ll get(){
return val;
}
explicit operator bool()const{
return val;
}
};
template< uint32_t mod, bool fast = false >
struct MontgomeryModInt {
using mint = MontgomeryModInt;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
static constexpr u32 get_r() {
u32 ret = mod;
for(i32 i = 0; i < 4; i++) ret *= 2 - mod * ret;
return ret;
}
static constexpr u32 r = get_r();
static constexpr u32 n2 = -u64(mod) % mod;
static_assert(r * mod == 1, "invalid, r * mod != 1");
static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");
u32 a;
MontgomeryModInt() : a{} {}
MontgomeryModInt(const i64 &x)
: a(reduce(u64(fast ? x : (x % mod + mod)) * n2)) {}
static constexpr u32 reduce(const u64 &b) {
return u32(b >> 32) + mod - u32((u64(u32(b) * r) * mod) >> 32);
}
constexpr mint& operator+=(const mint &p) {
if(i32(a += p.a - 2 * mod) < 0) a += 2 * mod;
return *this;
}
constexpr mint& operator-=(const mint &p) {
if(i32(a -= p.a) < 0) a += 2 * mod;
return *this;
}
constexpr mint& operator*=(const mint &p) {
a = reduce(u64(a) * p.a);
return *this;
}
constexpr mint& operator/=(const mint &p) {
*this *= modinv(p);
return *this;
}
constexpr mint operator-() const { return mint() - *this; }
constexpr mint operator+(const mint &p) const { return mint(*this) += p; }
constexpr mint operator-(const mint &p) const { return mint(*this) -= p; }
constexpr mint operator*(const mint &p) const { return mint(*this) *= p; }
constexpr mint operator/(const mint &p) const { return mint(*this) /= p; }
constexpr bool operator==(const mint &p) const { return (a >= mod ? a - mod : a) == (p.a >= mod ? p.a - mod : p.a); }
constexpr bool operator!=(const mint &p) const { return (a >= mod ? a - mod : a) != (p.a >= mod ? p.a - mod : p.a); }
u32 get() const {
u32 ret = reduce(a);
return ret >= mod ? ret - mod : ret;
}
friend constexpr MontgomeryModInt<mod> modpow(const MontgomeryModInt<mod> &x,u64 n) noexcept {
MontgomeryModInt<mod> ret(1), mul(x);
while(n > 0) {
if(n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend constexpr MontgomeryModInt<mod> modinv(const MontgomeryModInt<mod> &r) noexcept {
u64 a = r.get(), b = mod, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
return MontgomeryModInt<mod>(u);
}
friend ostream &operator<<(ostream &os, const mint &p) {
return os << p.get();
}
friend istream &operator>>(istream &is, mint &a) {
i64 t;
is >> t;
a = mint(t);
return is;
}
static constexpr u32 getmod() { return mod; }
};
//fast Input by yosupo
#include <unistd.h>
#include <algorithm>
#include <array>
#include <cassert>
#include <cctype>
#include <cstring>
#include <sstream>
#include <string>
#include <type_traits>
#include <vector>
namespace fastio{
/*
quote from yosupo's submission in Library Checker
*/
int bsr(unsigned int n) {
return 8 * (int)sizeof(unsigned int) - 1 - __builtin_clz(n);
}
// @param n `1 <= n`
// @return maximum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsr(unsigned long n) {
return 8 * (int)sizeof(unsigned long) - 1 - __builtin_clzl(n);
}
// @param n `1 <= n`
// @return maximum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsr(unsigned long long n) {
return 8 * (int)sizeof(unsigned long long) - 1 - __builtin_clzll(n);
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsr(unsigned __int128 n) {
unsigned long long low = (unsigned long long)(n);
unsigned long long high = (unsigned long long)(n >> 64);
return high ? 127 - __builtin_clzll(high) : 63 - __builtin_ctzll(low);
}
namespace internal {
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value,
__uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
internal::is_signed_int128<T>::value ||
internal::is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value,
make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type>::type;
template <class T>
using is_integral_t = std::enable_if_t<is_integral<T>::value>;
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
struct Scanner {
public:
Scanner(const Scanner&) = delete;
Scanner& operator=(const Scanner&) = delete;
Scanner(FILE* fp) : fd(fileno(fp)) {}
void read() {}
template <class H, class... T> void read(H& h, T&... t) {
bool f = read_single(h);
assert(f);
read(t...);
}
int read_unsafe() { return 0; }
template <class H, class... T> int read_unsafe(H& h, T&... t) {
bool f = read_single(h);
if (!f) return 0;
return 1 + read_unsafe(t...);
}
int close() { return ::close(fd); }
private:
static constexpr int SIZE = 1 << 15;
int fd = -1;
std::array<char, SIZE + 1> line;
int st = 0, ed = 0;
bool eof = false;
bool read_single(std::string& ref) {
if (!skip_space()) return false;
ref = "";
while (true) {
char c = top();
if (c <= ' ') break;
ref += c;
st++;
}
return true;
}
bool read_single(double& ref) {
std::string s;
if (!read_single(s)) return false;
ref = std::stod(s);
return true;
}
template <class T,
std::enable_if_t<std::is_same<T, char>::value>* = nullptr>
bool read_single(T& ref) {
if (!skip_space<50>()) return false;
ref = top();
st++;
return true;
}
template <class T,
internal::is_signed_int_t<T>* = nullptr,
std::enable_if_t<!std::is_same<T, char>::value>* = nullptr>
bool read_single(T& sref) {
using U = internal::to_unsigned_t<T>;
if (!skip_space<50>()) return false;
bool neg = false;
if (line[st] == '-') {
neg = true;
st++;
}
U ref = 0;
do {
ref = 10 * ref + (line[st++] & 0x0f);
} while (line[st] >= '0');
sref = neg ? -ref : ref;
return true;
}
template <class U,
internal::is_unsigned_int_t<U>* = nullptr,
std::enable_if_t<!std::is_same<U, char>::value>* = nullptr>
bool read_single(U& ref) {
if (!skip_space<50>()) return false;
ref = 0;
do {
ref = 10 * ref + (line[st++] & 0x0f);
} while (line[st] >= '0');
return true;
}
bool reread() {
if (ed - st >= 50) return true;
if (st > SIZE / 2) {
std::memmove(line.data(), line.data() + st, ed - st);
ed -= st;
st = 0;
}
if (eof) return false;
auto u = ::read(fd, line.data() + ed, SIZE - ed);
if (u == 0) {
eof = true;
line[ed] = '\0';
u = 1;
}
ed += int(u);
line[ed] = char(127);
return true;
}
char top() {
if (st == ed) {
bool f = reread();
assert(f);
}
return line[st];
}
template <int TOKEN_LEN = 0>
bool skip_space() {
while (true) {
while (line[st] <= ' ') st++;
if (ed - st > TOKEN_LEN) return true;
if (st > ed) st = ed;
for (auto i = st; i < ed; i++) {
if (line[i] <= ' ') return true;
}
if (!reread()) return false;
}
}
};
//fast Output by ei1333
/**
* @brief Printer(高速出力)
*/
struct Printer {
public:
explicit Printer(FILE *fp) : fp(fp) {}
~Printer() { flush(); }
template< bool f = false, typename T, typename... E >
void write(const T &t, const E &... e) {
if(f) write_single(' ');
write_single(t);
write< true >(e...);
}
template< typename... T >
void writeln(const T &...t) {
write(t...);
write_single('\n');
}
void flush() {
fwrite(line, 1, st - line, fp);
st = line;
}
private:
FILE *fp = nullptr;
static constexpr size_t line_size = 1 << 16;
static constexpr size_t int_digits = 20;
char line[line_size + 1] = {};
char small[32] = {};
char *st = line;
template< bool f = false >
void write() {}
void write_single(const char &t) {
if(st + 1 >= line + line_size) flush();
*st++ = t;
}
template< typename T, enable_if_t< is_integral< T >::value, int > = 0 >
void write_single(T s) {
if(st + int_digits >= line + line_size) flush();
if(s == 0) {
write_single('0');
return;
}
if(s < 0) {
write_single('-');
s = -s;
}
char *mp = small + sizeof(small);
typename make_unsigned< T >::type y = s;
size_t len = 0;
while(y > 0) {
*--mp = y % 10 + '0';
y /= 10;
++len;
}
memmove(st, mp, len);
st += len;
}
void write_single(const string &s) {
for(auto &c : s) write_single(c);
}
void write_single(const char *s) {
while(*s != 0) write_single(*s++);
}
template< typename T >
void write_single(const vector< T > &s) {
for(size_t i = 0; i < s.size(); i++) {
if(i) write_single(' ');
write_single(s[i]);
}
}
};
}; //namespace fastio
using mint=MontgomeryModInt<998244353>;
int main(){
fastio::Scanner sc(stdin);
fastio::Printer pr(stdout);
#define in(...) sc.read(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define out(...) pr.write(__VA_ARGS__)
#define outln(...) pr.writeln(__VA_ARGS__)
#define outspace(...) pr.write(__VA_ARGS__),pr.write(' ')
#define rall(v) (v).rbegin(), (v).rend()
#define fi first
#define se second
/*
*/
INT(n,k);
vector<int> l(n*2),r(n*2),s(n*2);
vector<set<pair<int,int>>> g(n*2);
int sum=0;
FOR(i,n*2){
in(l[i],r[i],s[i]);
--l[i],--r[i];
g[l[i]].insert({r[i]+n,s[i]});
g[r[i]+n].insert({l[i],s[i]});
sum+=s[i];
}
int sl=0;
queue<int> que;
FOR(i,n*2){
if(g[i].size()==0){
outln("NO");
return 0;
}
if(g[i].size()==1){
que.push(i);
}
}
while(que.size()){
int v=que.front();
que.pop();
if(g[v].size()==0){
outln("NO");
return 0;
}
auto itr=g[v].begin();
auto [nv,cost]=*itr;
if(v<n) sl+=cost;
g[nv].erase({v,cost});
g[v].erase({nv,cost});
if(g[nv].size()==1) que.push(nv);
}
FOR(i,n*2){
if(g[i].size()>2){
outln("NO");
return 0;
}
}
vector<int> seen(n*2),seen2(n*2);
vector<int> x,y;
FOR(i,n){
if(seen[i]) continue;
int l1=0,l2=0;
vector<pair<int,int>> gi(all(g[i]));
{
l1+=gi[0].se;
seen[i]=1;
auto get_sum=[&](auto rec,int v,int p)->int{
seen[v]=1;
int ret=0;
for(auto& [nv,cost]:g[v]){
if(nv==p) continue;
if(v<n) ret+=cost;
if(seen[nv]) continue;
ret+=rec(rec,nv,v);
}
return ret;
};
l1+=get_sum(get_sum,gi[0].fi,i);
}
reverse(all(gi));
{
l2+=gi[0].se;
seen2[i]=1;
auto get_sum=[&](auto rec,int v,int p)->int{
seen2[v]=1;
int ret=0;
for(auto& [nv,cost]:g[v]){
if(nv==p) continue;
if(v<n) ret+=cost;
if(seen2[nv]) continue;
ret+=rec(rec,nv,v);
}
return ret;
};
l2+=get_sum(get_sum,gi[0].fi,i);
}
x.push_back(l1);
y.push_back(l2);
}
int m=x.size();
bitset<600001> dp(1);
FOR(i,m){
dp<<=min(x[i],y[i]);
dp|=dp<<(max(x[i],y[i])-min(x[i],y[i]));
}
FOR(i,600001){
if(abs((i+sl)*2-sum)<=k){
if(dp[i]){
outln("YES");
return 0;
}
}
}
outln("NO");
}
Compilation message
tug.cpp: In function 'int main()':
tug.cpp:593:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
593 | auto [nv,cost]=*itr;
| ^
tug.cpp: In lambda function:
tug.cpp:617:27: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
617 | for(auto& [nv,cost]:g[v]){
| ^
tug.cpp: In lambda function:
tug.cpp:634:27: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
634 | for(auto& [nv,cost]:g[v]){
| ^
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
600 KB |
Output is correct |
| 2 |
Correct |
1 ms |
604 KB |
Output is correct |
| 3 |
Correct |
1 ms |
604 KB |
Output is correct |
| 4 |
Correct |
1 ms |
604 KB |
Output is correct |
| 5 |
Correct |
1 ms |
604 KB |
Output is correct |
| 6 |
Correct |
0 ms |
604 KB |
Output is correct |
| 7 |
Correct |
1 ms |
604 KB |
Output is correct |
| 8 |
Incorrect |
0 ms |
604 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
600 KB |
Output is correct |
| 2 |
Correct |
1 ms |
604 KB |
Output is correct |
| 3 |
Correct |
1 ms |
604 KB |
Output is correct |
| 4 |
Correct |
1 ms |
604 KB |
Output is correct |
| 5 |
Correct |
1 ms |
604 KB |
Output is correct |
| 6 |
Correct |
0 ms |
604 KB |
Output is correct |
| 7 |
Correct |
1 ms |
604 KB |
Output is correct |
| 8 |
Incorrect |
0 ms |
604 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
3 ms |
2908 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
600 KB |
Output is correct |
| 2 |
Correct |
1 ms |
604 KB |
Output is correct |
| 3 |
Correct |
1 ms |
604 KB |
Output is correct |
| 4 |
Correct |
1 ms |
604 KB |
Output is correct |
| 5 |
Correct |
1 ms |
604 KB |
Output is correct |
| 6 |
Correct |
0 ms |
604 KB |
Output is correct |
| 7 |
Correct |
1 ms |
604 KB |
Output is correct |
| 8 |
Incorrect |
0 ms |
604 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
