結果
| 問題 |
No.2155 みちらcolor
|
| コンテスト | |
| ユーザー |
KowerKoint2010
|
| 提出日時 | 2022-12-01 09:21:56 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 2 ms / 2,000 ms |
| コード長 | 37,069 bytes |
| コンパイル時間 | 2,609 ms |
| コンパイル使用メモリ | 225,732 KB |
| 最終ジャッジ日時 | 2025-02-09 03:01:40 |
|
ジャッジサーバーID (参考情報) |
judge1 / judge2 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 64 |
ソースコード
#line 2 "library/KowerKoint/base.hpp"
#include <bits/stdc++.h>
using namespace std;
#line 4 "library/KowerKoint/stl-wrapper/pair.hpp"
template <typename T1, typename T2>
struct Pair : public std::pair<T1, T2> {
constexpr Pair() : std::pair<T1, T2>() {}
constexpr Pair(const T1& first, const T2& second) : std::pair<T1, T2>(first, second) {}
template <typename U1, typename U2>
constexpr Pair(U1&& first, U2&& second) : std::pair<T1, T2>(std::forward<U1>(first), std::forward<U2>(second)) {}
template <typename U1, typename U2>
constexpr Pair(const std::pair<U1, U2>& other) : std::pair<T1, T2>(other) {}
template <typename U1, typename U2>
constexpr Pair(std::pair<U1, U2>&& other) : std::pair<T1, T2>(std::move(other)) {}
template <typename... Args1, typename... Args2>
Pair(std::piecewise_construct_t, std::tuple<Args1...> first_args, std::tuple<Args2...> second_args) : std::pair<T1, T2>(std::piecewise_construct, first_args, second_args) {}
friend std::istream& operator>>(std::istream& is, Pair& p) {
return is >> p.first >> p.second;
}
friend std::ostream& operator<<(std::ostream& os, const Pair& p) {
return os << p.first << ' ' << p.second;
}
};
namespace std {
template <typename T1, typename T2>
struct hash<Pair<T1, T2>> {
size_t operator()(const Pair<T1, T2>& p) const {
size_t seed = 0;
seed ^= hash<T1>()(p.first) + 0x9e3779b9 + (seed << 6) + (seed >> 2);
seed ^= hash<T2>()(p.second) + 0x9e3779b9 + (seed << 6) + (seed >> 2);
return seed;
}
};
}
#line 5 "library/KowerKoint/stl-wrapper/vector.hpp"
template <typename T>
struct Vector : std::vector<T> {
Vector() noexcept : std::vector<T>() {}
explicit Vector(size_t count) : std::vector<T>(count, T()) {}
Vector(size_t count, const T& value) : std::vector<T>(count, value) {}
template <typename InputIt>
Vector(InputIt first, InputIt last) : std::vector<T>(first, last) {}
Vector(const std::vector<T>& other) : std::vector<T>(other) {}
Vector(std::vector<T>&& other) noexcept : std::vector<T>(std::move(other)) {}
Vector(std::initializer_list<T> init) : std::vector<T>(init) {}
const T& operator[](size_t i) const {
assert(i < this->size());
return std::vector<T>::operator[](i);
}
T& operator[](size_t i) {
assert(i < this->size());
return std::vector<T>::operator[](i);
}
const T& front() const {
assert(!this->empty());
return std::vector<T>::front();
}
T& front() {
assert(!this->empty());
return std::vector<T>::front();
}
const T& back() const {
assert(!this->empty());
return std::vector<T>::back();
}
T& back() {
assert(!this->empty());
return std::vector<T>::back();
}
friend std::istream& operator>>(std::istream& is, Vector& v) {
for (auto& x : v) is >> x;
return is;
}
friend std::ostream& operator<<(std::ostream& os, const Vector& v) {
for (size_t i = 0; i < v.size(); ++i) {
if (i) os << ' ';
os << v[i];
}
return os;
}
};
namespace std {
template <typename T>
struct hash<Vector<T>> {
size_t operator()(const Vector<T>& v) const {
size_t seed = 0;
for (const auto& x : v) seed ^= hash<T>{}(x) + 0x9e3779b9 + (seed << 6) + (seed >> 2);
return seed;
}
};
};
#line 4 "library/KowerKoint/stl-wrapper/set.hpp"
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#line 7 "library/KowerKoint/stl-wrapper/set.hpp"
template <typename T, typename Compare = std::less<T>>
using pbds_set = __gnu_pbds::tree<T, __gnu_pbds::null_type, Compare, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>;
template <typename T, typename Compare = std::less<T>>
struct Set : public pbds_set<T, Compare> {
Set() : pbds_set<T, Compare>() {}
explicit Set(const Compare& comp) : pbds_set<T, Compare>(comp) {}
template <typename It>
Set(It first, It last, const Compare& comp = Compare()) : pbds_set<T, Compare>(first, last, comp) {}
Set(const pbds_set<T, Compare>& other) : pbds_set<T, Compare>(other) {}
Set(const std::set<T, Compare>& other) : pbds_set<T, Compare>(other.begin(), other.end()) {}
Set(pbds_set<T, Compare>&& other) : pbds_set<T, Compare>(std::move(other)) {}
Set(std::initializer_list<T> init, const Compare& comp = Compare()) : pbds_set<T, Compare>(init, comp) {}
typename Set::const_iterator cbegin() const { return this->begin(); }
typename Set::const_iterator cend() const { return this->end(); }
typename Set::const_reverse_iterator crbegin() const { return this->rbegin(); }
typename Set::const_reverse_iterator crend() const { return this->rend(); }
template <typename K>
std::pair<typename Set::iterator, typename Set::iterator> equal_range(const K& value) {
return std::make_pair(lower_bound(value), upper_bound(value));
}
template <typename K>
std::pair<typename Set::const_iterator, typename Set::const_iterator> equal_range(const K& value) const {
return std::make_pair(lower_bound(value), upper_bound(value));
}
template <typename K>
size_t count(const K& x) const { return this->find(x) != this->end(); }
decltype(Compare()) key_comp() const { return Compare(); }
template <typename... Args>
std::pair<typename Set::iterator, bool> emplace(Args&&... args) {
return this->insert(T(std::forward<Args>(args)...));
}
template <typename... Args>
typename Set::iterator emplace_hint(typename Set::const_iterator hint, Args&&... args) {
return this->insert(hint, T(std::forward<Args>(args)...));
}
friend std::ostream& operator<<(std::ostream& os, const Set& set) {
Vector<T> vector(set.begin(), set.end());
return os << vector;
}
};
namespace _set_util {
template <typename T, typename Compare>
struct CompareEqual {
bool operator()(const T& lhs, const T& rhs) const {
return !Compare()(rhs, lhs);
}
};
}
template <typename T, typename Compare = std::less<T>>
using pbds_multiset = __gnu_pbds::tree<T, __gnu_pbds::null_type, _set_util::CompareEqual<T, Compare>, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>;
template <typename T, typename Compare = std::less<T>>
struct MultiSet : public pbds_multiset<T, Compare> {
MultiSet() : pbds_multiset<T, Compare>() {}
explicit MultiSet(const Compare& comp) : pbds_multiset<T, Compare>(comp) {}
template <typename It>
MultiSet(It first, It last, const Compare& comp = Compare()) : pbds_multiset<T, Compare>(first, last, comp) {}
MultiSet(const pbds_multiset<T, Compare>& other) : pbds_multiset<T, Compare>(other) {}
MultiSet(const std::multiset<T, Compare>& other) : pbds_multiset<T, Compare>(other.begin(), other.end()) {}
MultiSet(pbds_multiset<T, Compare>&& other) : pbds_multiset<T, Compare>(std::move(other)) {}
MultiSet(std::initializer_list<T> init, const Compare& comp = Compare()) : pbds_multiset<T, Compare>(init, comp) {}
typename MultiSet::const_iterator cbegin() const { return this->begin(); }
typename MultiSet::const_iterator cend() const { return this->end(); }
typename MultiSet::const_reverse_iterator crbegin() const { return this->rbegin(); }
typename MultiSet::const_reverse_iterator crend() const { return this->rend(); }
template <typename K>
std::pair<typename MultiSet::iterator, typename MultiSet::iterator> equal_range(const K& value) {
return std::make_pair(lower_bound(value), upper_bound(value));
}
template <typename K>
std::pair<typename MultiSet::const_iterator, typename MultiSet::const_iterator> equal_range(const K& value) const {
return std::make_pair(lower_bound(value), upper_bound(value));
}
template <typename K>
size_t count(const K& x) const {
auto range = equal_range(x);
return std::distance(range.first, range.second);
}
decltype(Compare()) key_comp() const { return Compare(); }
template <typename... Args>
typename MultiSet::iterator emplace(Args&&... args) {
return this->insert(T(std::forward<Args>(args)...));
}
template <typename... Args>
typename MultiSet::iterator emplace_hint(typename MultiSet::const_iterator hint, Args&&... args) {
return this->insert(hint, T(std::forward<Args>(args)...));
}
friend std::ostream& operator<<(std::ostream& os, const MultiSet& set) {
Vector<T> vector(set.begin(), set.end());
return os << vector;
}
};
namespace std {
template <typename T, typename Compare>
struct hash<Set<T, Compare>> {
size_t operator()(const Set<T, Compare>& set) const {
Vector<T> vec(set.begin(), set.end());
return hash<Vector<T>>()(vec);
}
};
template <typename T, typename Compare>
struct hash<MultiSet<T, Compare>> {
size_t operator()(const MultiSet<T, Compare>& set) const {
Vector<T> vec(set.begin(), set.end());
return hash<Vector<T>>()(vec);
}
};
};
#line 7 "library/KowerKoint/stl-wrapper/map.hpp"
template <typename Key, typename Value, typename Compare>
using pbds_map = __gnu_pbds::tree<Key, Value, Compare, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>;
template <typename Key, typename Value, typename Compare = std::less<Key>>
struct Map : pbds_map<Key, Value, Compare> {
Map() : pbds_map<Key, Value, Compare>() {}
explicit Map(const Compare& comp) : pbds_map<Key, Value, Compare>(comp) {}
template <typename It>
Map(It first, It last, const Compare& comp = Compare()) : pbds_map<Key, Value, Compare>(first, last, comp) {}
Map(const pbds_map<Key, Value, Compare>& other) : pbds_map<Key, Value, Compare>(other) {}
Map(const std::map<Key, Value, Compare>& other) : pbds_map<Key, Value, Compare>(other.begin(), other.end()) {}
Map(pbds_map<Key, Value, Compare>&& other) : pbds_map<Key, Value, Compare>(std::move(other)) {}
Map(std::initializer_list<std::pair<Key, Value>> init, const Compare& comp = Compare()) : pbds_map<Key, Value, Compare>(init, comp) {}
typename Map::const_iterator cbegin() const { return this->begin(); }
typename Map::const_iterator cend() const { return this->end(); }
typename Map::const_reverse_iterator crbegin() const { return this->rbegin(); }
typename Map::const_reverse_iterator crend() const { return this->rend(); }
template <typename K>
std::pair<typename Map::iterator, typename Map::iterator> equal_range(const K& value) {
return std::make_pair(lower_bound(value), upper_bound(value));
}
template <typename K>
std::pair<typename Map::const_iterator, typename Map::const_iterator> equal_range(const K& value) const {
return std::make_pair(lower_bound(value), upper_bound(value));
}
Value& at(const Key& key) {
auto it = find(key);
assert(it != this->end());
return it->second;
}
const Value& at(const Key& key) const {
auto it = find(key);
assert(it != this->end());
return it->second;
}
template <typename K>
size_t count(const K& x) const { return this->find(x) != this->end(); }
decltype(Compare()) key_comp() const { return Compare(); }
template <typename... Args>
std::pair<typename Map::iterator, bool> emplace(Args&&... args) {
return this->insert(std::make_pair(std::forward<Args>(args)...));
}
template <typename... Args>
typename Map::iterator emplace_hint(typename Map::const_iterator hint, Args&&... args) {
return this->insert(hint, std::make_pair(std::forward<Args>(args)...));
}
friend std::ostream& operator<<(std::ostream& out, const Map& map) {
for (auto it = map.begin(); it != map.end(); ++it) {
out << it->first << ' ' << it->second << '\n';
}
return out;
}
};
namespace _map_util {
template <typename T, typename Compare>
struct CompareEqual {
bool operator()(const T& lhs, const T& rhs) const {
return !Compare()(rhs, lhs);
}
};
}
template <typename Key, typename Value, typename Compare = std::less<Key>>
using pbds_multimap = __gnu_pbds::tree<Key, Value, _map_util::CompareEqual<Key, Compare>, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>;
template <typename Key, typename Value, typename Compare = std::less<Key>>
struct MultiMap : pbds_multimap<Key, Value, Compare> {
MultiMap() : pbds_multimap<Key, Value, Compare>() {}
explicit MultiMap(const Compare& comp) : pbds_multimap<Key, Value, Compare>(comp) {}
template <typename It>
MultiMap(It first, It last, const Compare& comp = Compare()) : pbds_multimap<Key, Value, Compare>(first, last, comp) {}
MultiMap(const pbds_multimap<Key, Value, Compare>& other) : pbds_multimap<Key, Value, Compare>(other) {}
MultiMap(const std::multimap<Key, Value, Compare>& other) : pbds_multimap<Key, Value, Compare>(other.begin(), other.end()) {}
MultiMap(pbds_multimap<Key, Value, Compare>&& other) : pbds_multimap<Key, Value, Compare>(std::move(other)) {}
MultiMap(std::initializer_list<std::pair<Key, Value>> init, const Compare& comp = Compare()) : pbds_multimap<Key, Value, Compare>(init, comp) {}
typename MultiMap::const_iterator cbegin() const { return this->begin(); }
typename MultiMap::const_iterator cend() const { return this->end(); }
typename MultiMap::const_reverse_iterator crbegin() const { return this->rbegin(); }
typename MultiMap::const_reverse_iterator crend() const { return this->rend(); }
template <typename K>
std::pair<typename MultiMap::iterator, typename MultiMap::iterator> equal_range(const K& value) {
return std::make_pair(lower_bound(value), upper_bound(value));
}
template <typename K>
std::pair<typename MultiMap::const_iterator, typename MultiMap::const_iterator> equal_range(const K& value) const {
return std::make_pair(lower_bound(value), upper_bound(value));
}
Value& at(const Key& key) {
auto it = find(key);
assert(it != this->end());
return it->second;
}
const Value& at(const Key& key) const {
auto it = find(key);
assert(it != this->end());
return it->second;
}
template <typename K>
size_t count(const K& x) const {
auto range = equal_range(x);
return std::distance(range.first, range.second);
}
decltype(Compare())key_comp() const { return Compare(); }
template <typename... Args>
typename MultiMap::iterator emplace(Args&&... args) {
return this->insert(std::make_pair(std::forward<Args>(args)...));
}
template <typename... Args>
typename MultiMap::iterator emplace_hint(typename MultiMap::const_iterator hint, Args&&... args) {
return this->insert(hint, std::make_pair(std::forward<Args>(args)...));
}
friend std::ostream& operator<<(std::ostream& out, const MultiMap& map) {
for (auto it = map.begin(); it != map.end(); ++it) {
out << it->first << ' ' << it->second << '\n';
}
return out;
}
};
namespace std {
template <typename Key, typename Value, typename Compare>
struct hash<Map<Key, Value, Compare>> {
size_t operator()(const Map<Key, Value, Compare>& map) const {
Vector<pair<Key, Value>> v(map.begin(), map.end());
return hash<Vector<pair<Key, Value>>>()(v);
}
};
template <typename Key, typename Value, typename Compare>
struct hash<MultiMap<Key, Value, Compare>> {
size_t operator()(const Map<Key, Value, Compare>& map) const {
Vector<pair<Key, Value>> v(map.begin(), map.end());
return hash<Vector<pair<Key, Value>>>()(v);
}
};
}
#line 9 "library/KowerKoint/stl-wrapper/unordered_set.hpp"
template <typename T, typename Hash = std::hash<T>, typename KeyEqual = std::equal_to<T>>
using pbds_unordered_set = __gnu_pbds::gp_hash_table<T, __gnu_pbds::null_type, Hash, KeyEqual>;
template <typename T, typename Hash = std::hash<T>, typename KeyEqual = std::equal_to<T>>
struct UnorderedSet : public pbds_unordered_set<T, Hash, KeyEqual> {
UnorderedSet() : pbds_unordered_set<T, Hash, KeyEqual>() {}
explicit UnorderedSet(std::size_t bucket_count, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : pbds_unordered_set<T, Hash, KeyEqual>(bucket_count, hash, equal) {}
template <typename InputIt>
UnorderedSet(InputIt first, InputIt last, std::size_t bucket_count = 1, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : pbds_unordered_set<T, Hash, KeyEqual>(first, last, bucket_count, hash, equal) {}
UnorderedSet(const pbds_unordered_set<T, Hash, KeyEqual>& other) : pbds_unordered_set<T, Hash, KeyEqual>(other) {}
UnorderedSet(const std::unordered_set<T, Hash, KeyEqual>& other) : pbds_unordered_set<T, Hash, KeyEqual>(other.begin(), other.end()) {}
UnorderedSet(pbds_unordered_set<T, Hash, KeyEqual>&& other) : pbds_unordered_set<T, Hash, KeyEqual>(std::move(other)) {}
UnorderedSet(std::initializer_list<T> init, std::size_t bucket_count = 1, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : pbds_unordered_set<T, Hash, KeyEqual>(init, bucket_count, hash, equal) {}
typename UnorderedSet::const_iterator cbegin() const { return this->begin(); }
typename UnorderedSet::const_iterator cend() const { return this->end(); }
KeyEqual key_eq() const { return KeyEqual(); }
std::size_t count(const T& value) const { return this->find(value) != this->end(); }
template <typename... Args>
std::pair<typename UnorderedSet::iterator, bool> emplace(Args&&... args) { return this->insert(T(std::forward<Args>(args)...)); }
template <typename... Args>
typename UnorderedSet::iterator emplace_hint(typename UnorderedSet::const_iterator hint, Args&&... args) { return this->insert(hint, T(std::forward<Args>(args)...)); }
friend std::ostream& operator<<(std::ostream& os, const UnorderedSet& set) {
for (auto it = set.begin(); it != set.end(); ++it) {
if(it != set.begin()) os << " ";
os << *it;
}
return os;
}
};
template <typename T, typename Hash = std::hash<T>, typename KeyEqual = std::equal_to<T>>
struct UnorderedMultiSet : std::unordered_multiset<T, Hash, KeyEqual> {
UnorderedMultiSet() : std::unordered_multiset<T, Hash, KeyEqual>() {}
explicit UnorderedMultiSet(std::size_t bucket_count, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : std::unordered_multiset<T, Hash, KeyEqual>(bucket_count, hash, equal) {}
template <typename InputIt>
UnorderedMultiSet(InputIt first, InputIt last, std::size_t bucket_count = 1, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : std::unordered_multiset<T, Hash, KeyEqual>(first, last, bucket_count, hash, equal) {}
UnorderedMultiSet(const std::unordered_set<T, Hash, KeyEqual>& other) : std::unordered_multiset<T, Hash, KeyEqual>(other) {}
UnorderedMultiSet(std::unordered_set<T, Hash, KeyEqual>&& other) : std::unordered_multiset<T, Hash, KeyEqual>(std::move(other)) {}
UnorderedMultiSet(std::initializer_list<T> init, std::size_t bucket_count = 1, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : std::unordered_multiset<T, Hash, KeyEqual>(init, bucket_count, hash, equal) {}
friend std::ostream& operator<<(std::ostream& os, const UnorderedMultiSet& set) {
for (auto it = set.begin(); it != set.end(); ++it) {
if(it != set.begin()) os << " ";
os << *it;
}
return os;
}
};
namespace std {
template<typename T, typename Hash, typename KeyEqual>
struct hash<UnorderedSet<T, Hash, KeyEqual>> {
size_t operator()(const UnorderedSet<T, Hash, KeyEqual>& set) const {
Vector<T> vec(set.begin(), set.end());
sort(vec.begin(), vec.end());
return hash<Vector<T>>()(vec);
}
};
template<typename T, typename Hash, typename KeyEqual>
struct hash<UnorderedMultiSet<T, Hash, KeyEqual>> {
size_t operator()(const UnorderedMultiSet<T, Hash, KeyEqual>& set) const {
Vector<T> vec(set.begin(), set.end());
sort(vec.begin(), vec.end());
return hash<Vector<T>>()(vec);
}
};
}
#line 9 "library/KowerKoint/stl-wrapper/unordered_map.hpp"
template <typename Key, typename Value, typename Hash = std::hash<Key>, typename KeyEqual = std::equal_to<Key>>
using pbds_unordered_map = __gnu_pbds::gp_hash_table<Key, Value, Hash, KeyEqual>;
template <typename Key, typename Value, typename Hash = std::hash<Key>, typename KeyEqual = std::equal_to<Key>>
struct UnorderedMap : public pbds_unordered_map<Key, Value, Hash, KeyEqual> {
UnorderedMap() : pbds_unordered_map<Key, Value, Hash, KeyEqual>() {}
explicit UnorderedMap(std::size_t bucket_count, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : pbds_unordered_map<Key, Value, Hash, KeyEqual>(bucket_count, hash, equal) {}
template <typename InputIt>
UnorderedMap(InputIt first, InputIt last, std::size_t bucket_count = 1, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : pbds_unordered_map<Key, Value, Hash, KeyEqual>(first, last, bucket_count, hash, equal) {}
UnorderedMap(const pbds_unordered_map<Key, Value, Hash, KeyEqual>& other) : pbds_unordered_map<Key, Value, Hash, KeyEqual>(other) {}
UnorderedMap(const std::unordered_map<Key, Value, Hash, KeyEqual>& other) : pbds_unordered_map<Key, Value, Hash, KeyEqual>(other.begin(), other.end()) {}
UnorderedMap(pbds_unordered_map<Key, Value, Hash, KeyEqual>&& other) noexcept : pbds_unordered_map<Key, Value, Hash, KeyEqual>(std::move(other)) {}
UnorderedMap(std::initializer_list<std::pair<Key, Value>> init, std::size_t bucket_count = 1, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : pbds_unordered_map<Key, Value, Hash, KeyEqual>(init, bucket_count, hash, equal) {}
friend std::ostream& operator<<(std::ostream& os, const UnorderedMap& set) {
for (auto it = set.begin(); it != set.end(); ++it) {
os << it->first << ' ' << it->second << '\n';
}
return os;
}
};
template <typename Key, typename Value, typename Hash = std::hash<Key>, typename KeyEqual = std::equal_to<Key>>
struct UnorderedMultiMap : std::unordered_multimap<Key, Value, Hash, KeyEqual> {
UnorderedMultiMap() : std::unordered_multimap<Key, Value, Hash, KeyEqual>() {}
explicit UnorderedMultiMap(std::size_t bucket_count, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : std::unordered_multimap<Key, Value, Hash, KeyEqual>(bucket_count, hash, equal) {}
template <typename InputIt>
UnorderedMultiMap(InputIt first, InputIt last, std::size_t bucket_count = 1, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : std::unordered_multimap<Key, Value, Hash, KeyEqual>(first, last, bucket_count, hash, equal) {}
UnorderedMultiMap(const std::unordered_map<Key, Value, Hash, KeyEqual>& other) : std::unordered_multimap<Key, Value, Hash, KeyEqual>(other) {}
UnorderedMultiMap(std::unordered_map<Key, Value, Hash, KeyEqual>&& other) noexcept : std::unordered_multimap<Key, Value, Hash, KeyEqual>(std::move(other)) {}
UnorderedMultiMap(std::initializer_list<std::pair<Key, Value>> init, std::size_t bucket_count = 1, const Hash& hash = Hash(), const KeyEqual& equal = KeyEqual()) : std::unordered_multimap<Key, Value, Hash, KeyEqual>(init, bucket_count, hash, equal) {}
friend std::ostream& operator<<(std::ostream& os, const UnorderedMultiMap& map) {
for (auto it = map.begin(); it != map.end(); ++it) {
os << it->first << ' ' << it->second << '\n';
}
return os;
}
};
namespace std {
template<typename T, typename Hash, typename KeyEqual>
struct hash<UnorderedMap<T, Hash, KeyEqual>> {
size_t operator()(const UnorderedMap<T, Hash, KeyEqual>& map) const {
Vector<T> vec(map.begin(), map.end());
sort(vec.begin(), vec.end());
return hash<Vector<T>>()(vec);
}
};
template<typename T, typename Hash, typename KeyEqual>
struct hash<UnorderedMultiMap<T, Hash, KeyEqual>> {
size_t operator()(const UnorderedMultiMap<T, Hash, KeyEqual>& map) const {
Vector<T> vec(map.begin(), map.end());
sort(vec.begin(), vec.end());
return hash<Vector<T>>()(vec);
}
};
}
#line 7 "library/KowerKoint/base.hpp"
#define REP(i, n) for(int i = 0; i < (int)(n); i++)
#define FOR(i, a, b) for(ll i = a; i < (ll)(b); i++)
#define ALL(a) (a).begin(),(a).end()
#define RALL(a) (a).rbegin(),(a).rend()
#define END(...) { print(__VA_ARGS__); return; }
using VI = Vector<int>;
using VVI = Vector<VI>;
using VVVI = Vector<VVI>;
using ll = long long;
using VL = Vector<ll>;
using VVL = Vector<VL>;
using VVVL = Vector<VVL>;
using ull = unsigned long long;
using VUL = Vector<ull>;
using VVUL = Vector<VUL>;
using VVVUL = Vector<VVUL>;
using VD = Vector<double>;
using VVD = Vector<VD>;
using VVVD = Vector<VVD>;
using VS = Vector<string>;
using VVS = Vector<VS>;
using VVVS = Vector<VVS>;
using VC = Vector<char>;
using VVC = Vector<VC>;
using VVVC = Vector<VVC>;
using P = Pair<int, int>;
using VP = Vector<P>;
using VVP = Vector<VP>;
using VVVP = Vector<VVP>;
using LP = Pair<ll, ll>;
using VLP = Vector<LP>;
using VVLP = Vector<VLP>;
using VVVLP = Vector<VVLP>;
template <typename T>
using PQ = priority_queue<T>;
template <typename T>
using GPQ = priority_queue<T, vector<T>, greater<T>>;
constexpr int INF = 1001001001;
constexpr ll LINF = 1001001001001001001ll;
constexpr int DX[] = {1, 0, -1, 0};
constexpr int DY[] = {0, 1, 0, -1};
void print() { cout << '\n'; }
template<typename T>
void print(const T &t) { cout << t << '\n'; }
template<typename Head, typename... Tail>
void print(const Head &head, const Tail &... tail) {
cout << head << ' ';
print(tail...);
}
#ifdef DEBUG
void dbg() { cerr << '\n'; }
template<typename T>
void dbg(const T &t) { cerr << t << '\n'; }
template<typename Head, typename... Tail>
void dbg(const Head &head, const Tail &... tail) {
cerr << head << ' ';
dbg(tail...);
}
#else
template<typename... Args>
void dbg(const Args &... args) {}
#endif
template<typename T>
Vector<Vector<T>> split(typename vector<T>::const_iterator begin, typename vector<T>::const_iterator end, T val) {
Vector<Vector<T>> res;
Vector<T> cur;
for(auto it = begin; it != end; it++) {
if(*it == val) {
res.push_back(cur);
cur.clear();
} else cur.push_back(*it);
}
res.push_back(cur);
return res;
}
Vector<string> split(typename string::const_iterator begin, typename string::const_iterator end, char val) {
Vector<string> res;
string cur = "";
for(auto it = begin; it != end; it++) {
if(*it == val) {
res.push_back(cur);
cur.clear();
} else cur.push_back(*it);
}
res.push_back(cur);
return res;
}
template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template <typename T>
pair<VI, Vector<T>> compress(const vector<T> &a) {
int n = a.size();
Vector<T> x;
REP(i, n) x.push_back(a[i]);
sort(ALL(x)); x.erase(unique(ALL(x)), x.end());
VI res(n);
REP(i, n) res[i] = lower_bound(ALL(x), a[i]) - x.begin();
return make_pair(res, x);
}
template <typename It>
auto rle(It begin, It end) {
Vector<pair<typename It::value_type, int>> res;
if(begin == end) return res;
auto pre = *begin;
int num = 1;
for(auto it = begin + 1; it != end; it++) {
if(pre != *it) {
res.emplace_back(pre, num);
pre = *it;
num = 1;
} else num++;
}
res.emplace_back(pre, num);
return res;
}
template <typename It>
Vector<pair<typename It::value_type, int>> rle_sort(It begin, It end) {
Vector<typename It::value_type> cloned(begin, end);
sort(ALL(cloned));
auto e = rle(ALL(cloned));
sort(ALL(e), [](const auto& l, const auto& r) { return l.second < r.second; });
return e;
}
template <typename T>
Pair<Vector<T>, Vector<T>> factorial(int n) {
Vector<T> res(n+1), rev(n+1);
res[0] = 1;
REP(i, n) res[i+1] = res[i] * (i+1);
rev[n] = 1 / res[n];
for(int i = n; i > 0; i--) {
rev[i-1] = rev[i] * i;
}
return make_pair(res, rev);
}
#line 3 "library/KowerKoint/operator.hpp"
template <typename T>
T add_op(T a, T b) { return a + b; }
template <typename T>
T sub_op(T a, T b) { return a - b; }
template <typename T>
T zero_e() { return T(0); }
template <typename T>
T div_op(T a, T b) { return a / b; }
template <typename T>
T mult_op(T a, T b) { return a * b; }
template <typename T>
T one_e() { return T(1); }
template <typename T>
T xor_op(T a, T b) { return a ^ b; }
template <typename T>
T and_op(T a, T b) { return a & b; }
template <typename T>
T or_op(T a, T b) { return a | b; }
ll mod3() { return 998244353LL; }
ll mod7() { return 1000000007LL; }
ll mod9() { return 1000000009LL; }
template <typename T>
T max_op(T a, T b) { return max(a, b); }
template <typename T>
T min_op(T a, T b) { return min(a, b); }
template <typename T>
T max_e() { return numeric_limits<T>::max(); }
template <typename T>
T min_e() { return numeric_limits<T>::min(); }
#line 3 "library/KowerKoint/integer/extgcd.hpp"
ll extgcd(ll a, ll b, ll& x, ll& y) {
x = 1, y = 0;
ll nx = 0, ny = 1;
while(b) {
ll q = a / b;
tie(a, b) = LP(b, a % b);
tie(x, nx) = LP(nx, x - nx*q);
tie(y, ny) = LP(ny, y - ny*q);
}
return a;
}
#line 2 "library/KowerKoint/integer/pow-mod.hpp"
ll inv_mod(ll n, ll m) {
n %= m;
if (n < 0) n += m;
ll x, y;
assert(extgcd(n, m, x, y) == 1);
x %= m;
if(x < 0) x += m;
return x;
}
ll pow_mod(ll a, ll n, ll m) {
if(n == 0) return 1LL;
if(n < 0) return inv_mod(pow_mod(a, -n, m), m);
a %= m;
if (a < 0) n += m;
ll res = 1;
while(n) {
if(n & 1) {
res *= a;
res %= m;
}
n >>= 1;
a *= a;
a %= m;
}
return res;
}
#line 4 "library/KowerKoint/integer/modint.hpp"
template <ll (*mod)()>
struct Modint {
ll val;
Modint(): val(0) {}
Modint(ll x): val(x) {
val %= mod();
if(val < 0) val += mod();
}
Modint& operator+=(const Modint& r) {
val += r.val;
if(val >= mod()) val -= mod();
return *this;
}
friend Modint operator+(const Modint& l, const Modint& r) {
return Modint(l) += r;
}
Modint& operator-=(const Modint& r) {
val -= r.val;
if(val < 0) val += mod();
return *this;
}
friend Modint operator-(const Modint& l, const Modint& r) {
return Modint(l) -= r;
}
Modint& operator*=(const Modint& r) {
val *= r.val;
val %= mod();
return *this;
}
Modint operator*(const Modint& r) {
return (Modint(*this) *= r);
}
friend Modint operator*(const Modint& l, const Modint& r) {
return Modint(l) *= r;
}
Modint pow(ll n) const {
return Modint(pow_mod(val, n, mod()));
}
Modint inv() const {
return Modint(inv_mod(val, mod()));
}
Modint& operator/=(const Modint& r) {
return (*this *= r.inv());
}
friend Modint operator/(const Modint& l, const Modint& r) {
return Modint(l) /= r;
}
Modint& operator^=(const ll n) {
val = pow_mod(val, n, mod());
return *this;
}
Modint operator^(const ll n) {
return this->pow(n);
}
Modint operator+() const { return *this; }
Modint operator-() const { return Modint() - *this; }
Modint& operator++() {
val++;
if(val == mod()) val = 0LL;
return *this;
}
Modint& operator++(int) {
Modint res(*this);
++*this;
return res;
}
Modint& operator--() {
if(val == 0LL) val = mod();
val--;
return *this;
}
Modint& operator--(int) {
Modint res(*this);
--*this;
return res;
}
friend bool operator==(const Modint& l, const Modint& r) {
return l.val == r.val;
}
friend bool operator!=(const Modint& l, const Modint& r) {
return l.val != r.val;
}
static Pair<Vector<Modint>, Vector<Modint>> factorial(int n) {
Vector<Modint> fact(n+1), rfact(n+1);
fact[0] = 1;
REP(i, n) fact[i+1] = fact[i] * (i+1);
rfact[n] = 1 / fact[n];
for(int i = n-1; i >= 0; i--) rfact[i] = rfact[i+1] * (i+1);
return {fact, rfact};
}
friend istream& operator>>(istream& is, Modint& mi) {
is >> mi.val;
return is;
}
friend ostream& operator<<(ostream& os, const Modint& mi) {
os << mi.val;
return os;
}
};
namespace std {
template<ll (*mod)()>
struct hash<Modint<mod>> {
size_t operator()(const Modint<mod> &p) const {
return hash<ll>()(p.val);
}
};
}
using MI3 = Modint<mod3>;
using V3 = Vector<MI3>;
using VV3 = Vector<V3>;
using VVV3 = Vector<VV3>;
using MI7 = Modint<mod7>;
using V7 = Vector<MI7>;
using VV7 = Vector<V7>;
using VVV7 = Vector<VV7>;
using MI9 = Modint<mod9>;
using V9 = Vector<MI9>;
using VV9 = Vector<V9>;
using VVV9 = Vector<VV9>;
#line 3 "library/KowerKoint/counting/counting.hpp"
template <typename T>
struct Counting {
Vector<T> fact, ifact;
Counting() {}
Counting(ll n) {
assert(n >= 0);
expand(n);
}
void expand(ll n) {
assert(n >= 0);
ll sz = (ll)fact.size();
if(sz > n) return;
fact.resize(n+1);
ifact.resize(n+1);
fact[0] = 1;
FOR(i, max(1LL, sz), n+1) fact[i] = fact[i-1] * i;
ifact[n] = 1 / fact[n];
for(ll i = n-1; i >= sz; i--) ifact[i] = ifact[i+1] * (i+1);
}
T p(ll n, ll r) {
if(n < r) return 0;
assert(r >= 0);
expand(n);
return fact[n] * ifact[n-r];
}
T c(ll n, ll r) {
if(n < r) return 0;
assert(r >= 0);
expand(n);
return fact[n] * ifact[r] * ifact[n-r];
}
T h(ll n, ll r) {
assert(n >= 0);
assert(r >= 0);
return c(n+r-1, r);
}
T stirling(ll n, ll k) {
if(n < k) return 0;
assert(k >= 0);
if(n == 0) return 1;
T res = 0;
int sign = k%2? -1 : 1;
expand(k);
REP(i, k+1) {
res += sign * ifact[i] * ifact[k-i] * T(i).pow(n);
sign *= -1;
}
return res;
}
Vector<Vector<T>> stirling_table(ll n, ll k) {
assert(n >= 0 && k >= 0);
Vector<Vector<T>> res(n+1, Vector<T>(k+1));
res[0][0] = 1;
FOR(i, 1, n+1) FOR(j, 1, k+1) {
res[i][j] = res[i-1][j-1] + j * res[i-1][j];
}
return res;
}
T bell(ll n, ll k) {
assert(n >= 0 && k >= 0);
expand(k);
Vector<T> tmp(k+1);
int sign = 1;
tmp[0] = 1;
FOR(i, 1, k+1) {
sign *= -1;
tmp[i] = tmp[i-1] + sign * ifact[i];
}
T res = 0;
REP(i, k+1) {
res += T(i).pow(n) * ifact[i] * tmp[k-i];
}
return res;
}
Vector<Vector<T>> partition_table(ll n, ll k) {
assert(n >= 0 && k >= 0);
Vector<Vector<T>> res(n+1, Vector<T>(k+1));
REP(i, k+1) res[0][i] = 1;
FOR(i, 1, n+1) FOR(j, 1, k+1) {
res[i][j] = res[i][j-1] + (i<j? 0 : res[i-j][j]);
}
return res;
}
};
#line 2 "Contests/main.cpp"
/* #include <atcoder/all> */
/* using namespace atcoder; */
/* #include "KowerKoint/expansion/ac-library/all.hpp" */
void solve(){
int n, m, l; cin >> n >> m >> l;
VI a(n); cin >> a;
vector<int> dp(1001);
dp[l] = 1;
REP(i, n) {
vector<int> ndp = dp;
REP(j, 1001) ndp[(j+a[i])/2] |= dp[j];
swap(dp, ndp);
}
print(dp[m]? "Yes" : "No");
}
// generated by oj-template v4.7.2 (https://github.com/online-judge-tools/template-generator)
int main() {
// Fasterize input/output script
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(100);
// scanf/printf user should delete this fasterize input/output script
int t = 1;
//cin >> t; // comment out if solving multi testcase
for(int testCase = 1;testCase <= t;++testCase){
solve();
}
return 0;
}
KowerKoint2010