結果

問題 No.1711 Divide LCM
ユーザー mtsdmtsd
提出日時 2021-10-15 23:14:26
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 243 ms / 4,000 ms
コード長 24,269 bytes
コンパイル時間 2,796 ms
コンパイル使用メモリ 203,916 KB
実行使用メモリ 44,496 KB
最終ジャッジ日時 2023-10-17 21:01:23
合計ジャッジ時間 11,435 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,348 KB
testcase_01 AC 2 ms
4,348 KB
testcase_02 AC 2 ms
4,348 KB
testcase_03 AC 3 ms
4,348 KB
testcase_04 AC 7 ms
4,348 KB
testcase_05 AC 19 ms
4,480 KB
testcase_06 AC 7 ms
4,348 KB
testcase_07 AC 16 ms
4,404 KB
testcase_08 AC 9 ms
4,348 KB
testcase_09 AC 34 ms
5,220 KB
testcase_10 AC 8 ms
4,348 KB
testcase_11 AC 45 ms
5,720 KB
testcase_12 AC 8 ms
4,348 KB
testcase_13 AC 2 ms
4,348 KB
testcase_14 AC 4 ms
4,348 KB
testcase_15 AC 6 ms
4,348 KB
testcase_16 AC 3 ms
4,348 KB
testcase_17 AC 4 ms
4,348 KB
testcase_18 AC 107 ms
8,564 KB
testcase_19 AC 107 ms
8,560 KB
testcase_20 AC 107 ms
8,576 KB
testcase_21 AC 165 ms
19,964 KB
testcase_22 AC 243 ms
44,496 KB
testcase_23 AC 224 ms
44,268 KB
testcase_24 AC 124 ms
11,800 KB
testcase_25 AC 121 ms
11,800 KB
testcase_26 AC 127 ms
11,792 KB
testcase_27 AC 125 ms
12,160 KB
testcase_28 AC 123 ms
11,872 KB
testcase_29 AC 3 ms
4,348 KB
testcase_30 AC 135 ms
14,624 KB
testcase_31 AC 3 ms
4,348 KB
testcase_32 AC 161 ms
19,688 KB
testcase_33 AC 161 ms
19,688 KB
testcase_34 AC 7 ms
4,348 KB
testcase_35 AC 123 ms
11,044 KB
testcase_36 AC 128 ms
13,916 KB
testcase_37 AC 126 ms
13,916 KB
testcase_38 AC 108 ms
14,384 KB
testcase_39 AC 158 ms
20,036 KB
testcase_40 AC 4 ms
4,348 KB
testcase_41 AC 4 ms
4,348 KB
testcase_42 AC 4 ms
4,348 KB
testcase_43 AC 4 ms
4,348 KB
testcase_44 AC 4 ms
4,348 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function 'int main()':
main.cpp:511:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17' [-Wc++17-extensions]
  511 |     for(auto [x,c]:mx){
      |              ^
main.cpp: In lambda function:
main.cpp:535:26: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17' [-Wc++17-extensions]
  535 |                 for(auto [p,e]:a[i]){
      |                          ^
main.cpp: In function 'int main()':
main.cpp:575:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17' [-Wc++17-extensions]
  575 |         for(auto [p,e]:a[i]){
      |                  ^

ソースコード

diff #

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define inf 1000000007
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define fi first
#define se second
#define rep(i,n) for(int i = 0; i < (int)(n); ++i)
#define rrep(i,n) for(int i = (int)n-1; i >= 0; --i)
#define srep(i,a,b) for(int i = (int)a; i < (int)(b); ++i)
#define all(x) (x).begin(),(x).end()
#define SUM(v) accumulate(all(v), 0LL)
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())
#define SZ(c) (int)(c).size()
template<typename T>
ostream& operator << (ostream& os, vector<T>& vec) {
    os << "{";
    for (int i = 0; i<(int)vec.size(); i++) {
        os << vec[i] << (i + 1 == (int)vec.size() ? "" : ", ");
    }
    os << "}";
    return os;
}
// pair出力
template<typename T, typename U>
ostream& operator << (ostream& os, pair<T, U> pair_var) {
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}
// map出力
template<typename T, typename U>
ostream& operator << (ostream& os, map<T, U>& map_var) {
    os << "{";
    for(auto itr = map_var.begin(); itr != map_var.end(); itr++){
        os << "(" << itr->first << ", " << itr->second << ")";
        itr++;
        if(itr != map_var.end()) os << ", ";
        itr--;
    }
    os << "}";
    return os;
}
// set 出力
template<typename T>
ostream& operator << (ostream& os, set<T>& set_var) {
    os << "{";
    for(auto itr = set_var.begin(); itr != set_var.end(); itr++){
        os << (*itr);
        ++itr;
        if(itr != set_var.end()) os << ", ";
        itr--;
    }
    os << "}";
    return os;
}
#define overload2(_1, _2, name, ...) name
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define VEC(type, name, size)                                                                                                                                  \
    vector<type> name(size);                                                                                                                                   \
    IN(name)
#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define VV(type, name, h, w)                                                                                                                                   \
    vector<vector<type>> name(h, vector<type>(w));                                                                                                             \
    IN(name)
#define vvv(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...)                                                                                                                         \
    vector<vector<vector<vector<type>>>> name(a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
#define INT(...)                                                                                                                                               \
    int __VA_ARGS__;                                                                                                                                           \
    IN(__VA_ARGS__)
#define LL(...)                                                                                                                                                \
    ll __VA_ARGS__;                                                                                                                                            \
    IN(__VA_ARGS__)
#define STR(...)                                                                                                                                               \
    string __VA_ARGS__;                                                                                                                                        \
    IN(__VA_ARGS__)
#define CHR(...)                                                                                                                                               \
    char __VA_ARGS__;                                                                                                                                          \
    IN(__VA_ARGS__)
#define DBL(...)                                                                                                                                               \
    double __VA_ARGS__;                                                                                                                                        \
    IN(__VA_ARGS__)
int scan() { return getchar(); }
void scan(int &a) { cin >> a; }
void scan(long long &a) { cin >> a; }
void scan(char &a) { cin >> a; }
void scan(double &a) { cin >> a; }
void scan(string &a) { cin >> a; }
template <class T, class S> void scan(pair<T, S> &p) { scan(p.first), scan(p.second); }
template <class T> void scan(vector<T> &);
template <class T> void scan(vector<T> &a) {
    for(auto &i : a) scan(i);
}
template <class T> void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail> void IN(Head &head, Tail &...tail) {
    scan(head);
    IN(tail...);
}
const string YESNO[2] = {"NO", "YES"};
const string YesNo[2] = {"No", "Yes"};
const string yesno[2] = {"no", "yes"};
void YES(bool t = 1) { cout << YESNO[t] << endl; }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { cout << YesNo[t] << endl; }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { cout << yesno[t] << endl; }
void no(bool t = 1) { yes(!t); }
#ifdef LOCAL
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << " " << H;
    debug_out(T...);
}
#define dbg(...) \
    cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define dbg(...) (void(0))
#define dump(x) (void(0))
#endif
template<typename A, typename T>
std::enable_if_t<std::is_convertible<T, A>::value> fill(A& array, const T& val)
{
    array = val;
}
template<typename A, typename T>
std::enable_if_t<!std::is_convertible<T, A>::value> fill(A& array, const T& val)
{
    for (auto& a : array) {
        fill(a, val);
    }
}
template <class T> T ceil(T x, T y) {assert(y >= 1);return (x > 0 ? (x + y - 1) / y : x / y);}
template <class T> T floor(T x, T y) {assert(y >= 1);return (x > 0 ? x / y : (x + y - 1) / y);}
vector<int> iota(int n) {vector<int> a(n);iota(all(a), 0);return a;}
template <class T> T POW(T x, int n) {T res = 1;for(; n; n >>= 1, x *= x){if(n & 1) res *= x;}return res;}
ll pow2(int i) { return 1LL << i; }
int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int lowbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); }
// int allbit(int n) { return (1 << n) - 1; }
ll allbit(ll n) { return (1LL << n) - 1; }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(ll t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }


template <class S> void fold_in(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void fold_in(vector<S> &v, Head &&a, Tail &&...tail) {
    for(auto e : a) v.emplace_back(e);
    fold_in(v, tail...);
}
template <class S> void renumber(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void renumber(vector<S> &v, Head &&a, Tail &&...tail) {
    for(auto &&e : a) e = lb(v, e);
    renumber(v, tail...);
}
template <class S, class... Args> void zip(vector<S> &head, Args &&...args) {
    vector<S> v;
    fold_in(v, head, args...);
    sort(all(v)), v.erase(unique(all(v)), v.end());
    renumber(v, head, args...);
}
template<class T> inline bool chmax(T &a, T b){
    if(a<b){
        a = b;
        return true;
    }
    return false;
}
template<class T> inline bool chmin(T &a, T b){
    if(a>b){
        a = b;
        return true;
    }
    return false;
}


template<class _Key, class _Tp, class _Hash, bool DOWNSIZE> class UnorderedMapIterator;

template<class _Key, class _Tp, class _Hash = hash<_Key>, bool DOWNSIZE = false>
class UnorderedMap
{
private:
    using iterator = UnorderedMapIterator<_Key, _Tp, _Hash, DOWNSIZE>;
    using value_type = _Tp;
    using data_type = pair<_Key, _Tp>;
    using aligned_pointer = typename aligned_storage<sizeof(value_type), alignof(value_type)>::type;
    friend UnorderedMapIterator<_Key, _Tp, _Hash, DOWNSIZE>;
    struct bucket {
        _Key _key;
        short int _dist;
        bool _last, _end;
        aligned_pointer _value_ptr;
        bucket() noexcept : _dist(-1), _last(false), _end(false){}
        bucket& operator=(const bucket& another) noexcept {
            _key = another._key, _dist = another._dist, _last = another._last, _end = another._end;
            if(!another.empty()){
                new(&_value_ptr) value_type(*reinterpret_cast<const value_type*>(&another._value_ptr));
            }
            return *this;
        }
        ~bucket(){ if(!empty()) _delete(); }
        inline void clear() noexcept { _dist = -1; }
        inline void _delete(){ _dist = -1, value_ptr()->~value_type(); }
        inline bool empty() const noexcept { return (_dist == -1); }
        inline value_type& value() noexcept {
            return *reinterpret_cast<value_type*>(&_value_ptr);
        }
        inline value_type* value_ptr() noexcept {
            return reinterpret_cast<value_type*>(&_value_ptr);
        }
        inline void new_value(value_type&& value){
            new(&_value_ptr) value_type(move(value));
        }
    };
    inline static unsigned int ceilpow2(unsigned int u) noexcept {
        if(u == 0u) return 0u;
        --u, u |= u >> 1, u |= u >> 2, u |= u >> 4, u |= u >> 8;
        return (u | (u >> 16)) + 1u;
    }
    inline static bucket *increment(bucket *cur) noexcept {
        for(++cur; !cur->_end; ++cur){
            if(!cur->empty()) break;
        }
        return cur;
    }
    inline bucket *next_bucket(bucket *cur) const noexcept {
        return cur->_last ? _buckets : cur + 1;
    }
    inline unsigned int make_hash(const _Key& key) const noexcept {
        return _Hash()(key);
    }
    inline float load_rate() const noexcept {
        return (float)_data_count / _bucket_count;
    }
    bucket *insert(bucket *cur, _Key&& key, short int dist, value_type&& value){
        bucket *ret = cur;
        bool flag = false;
        while(true){
            if(cur->empty()){
                cur->_key = move(key), cur->_dist = dist, cur->new_value(move(value));
                if(!flag) ret = cur, flag = true;
                break;
            }else if(dist > cur->_dist){
                swap(key, cur->_key), swap(dist, cur->_dist), swap(value, cur->value());
                if(!flag) ret = cur, flag = true;
            }
            ++dist;
            cur = next_bucket(cur);
        }
        return ret;
    }
    template<class Key>
    bucket *_find(Key&& key, bool push = false){
        unsigned int hash = make_hash(key);
        bucket *cur = _buckets + (hash & _mask);
        short int dist = 0;
        while(dist <= cur->_dist){
            if(key == cur->_key) return cur;
            ++dist, cur = next_bucket(cur);
        }
        if(!push) return _buckets + _bucket_count;
        ++_data_count;
        if(rehash_check()){
            cur = _buckets + (hash & _mask), dist = 0;
        }
        value_type new_value = value_type();
        _Key new_key = forward<Key>(key);
        return insert(cur, move(new_key), dist, move(new_value));
    }
    template<class Data>
    bucket *find_insert(Data&& data){
        const _Key& key = data.first;
        unsigned int hash = make_hash(key);
        bucket *cur = _buckets + (hash & _mask);
        short int dist = 0;
        while(dist <= cur->_dist){
            if(key == cur->_key) return cur;
            ++dist, cur = next_bucket(cur);
        }
        ++_data_count;
        if(rehash_check()){
            cur = _buckets + (hash & _mask), dist = 0;
        }
        data_type new_data = forward<Data>(data);
        return insert(cur, move(new_data.first), dist, move(new_data.second));
    }
    template<typename... Args>
    bucket *emplace(Args&&... args){
        return find_insert(data_type(forward<Args>(args)...));
    }
    bucket *backward_shift(bucket *cur, bool next_ret){
        bucket *next = next_bucket(cur), *ret = cur;
        if(next->_dist < 1) return next_ret ? increment(cur) : cur;
        do {
            cur->_key = next->_key, cur->_dist = next->_dist - 1;
            cur->new_value(move(next->value()));
            cur = next, next = next_bucket(cur);
        }while(next->_dist >= 1);
        cur->clear();
        return ret;
    }
    bucket *erase_impl(bucket *cur, bool next_ret){
        assert(static_cast<size_t>(cur - _buckets) != _bucket_count);
        cur->_delete();
        --_data_count;
        return backward_shift(cur, next_ret);
    }
    bucket *erase_itr(bucket *cur, bool next_ret = true){
        const _Key key = cur->_key;
        return erase_impl(rehash_check() ? _find(key) : cur, next_ret);
    }
    size_t erase_key(const _Key& key){
        rehash_check();
        bucket *cur = _find(key);
        if(static_cast<size_t>(cur - _buckets) == _bucket_count){
            return 0;
        }else{
            erase_impl(_find(key), false);
            return 1;
        }
    }
    bool rehash_check(){
        if(_bucket_count == 0){
            rehash(1u);
            return true;
        }else if(load_rate() >= MAX_LOAD_RATE){
            rehash(_bucket_count * 2u);
            return true;
        }else if(DOWNSIZE){
            if(load_rate() <= MIN_LOAD_RATE && _bucket_count >= DOWNSIZE_THRESHOLD){
                rehash(_bucket_count / 2u);
                return true;
            }
        }
        return false;
    }
    void move_data(bucket *cur){
        insert(_buckets + (make_hash(cur->_key) & _mask), move(cur->_key), 0, move(cur->value()));
    }
    void rehash(unsigned int new_bucket_count){
        UnorderedMap new_unordered_map(new_bucket_count);
        new_unordered_map._data_count = _data_count;
        for(bucket *cur = _buckets; !cur->_end; ++cur){
            if(!cur->empty()){
                new_unordered_map.move_data(cur);
            }
        }
        swap(*this, new_unordered_map);
    }
    friend void swap(UnorderedMap& ump1, UnorderedMap& ump2){
        swap(ump1._bucket_count, ump2._bucket_count);
        swap(ump1._mask, ump2._mask);
        swap(ump1._data_count, ump2._data_count);
        swap(ump1._buckets, ump2._buckets);
    }

private:
    unsigned int _bucket_count, _mask, _data_count;
    bucket *_buckets;
public:
    const float MAX_LOAD_RATE = 0.5f;
    const float MIN_LOAD_RATE = 0.1f;
    const unsigned int DOWNSIZE_THRESHOLD = 16u;
    UnorderedMap(unsigned int bucket_size = 0u)
     : _bucket_count(ceilpow2(bucket_size)), _mask(_bucket_count - 1),
        _data_count(0u), _buckets(new bucket[_bucket_count + 1]){
        if(_bucket_count > 0) _buckets[_bucket_count - 1]._last = true;
        else _mask = 0;
        _buckets[_bucket_count]._end = true;
    }
    UnorderedMap(const UnorderedMap& another)
        : _bucket_count(another._bucket_count), _mask(another._mask), _data_count(another._data_count){
        _buckets = new bucket[_bucket_count + 1u];
        for(unsigned int i = 0u; i <= _bucket_count; ++i){
            _buckets[i] = another._buckets[i];
        }
    }
    UnorderedMap(UnorderedMap&& another)
        : _bucket_count(move(another._bucket_count)), _mask(move(another._mask)),
            _data_count(move(another._data_count)), _buckets(another._buckets){
        another._buckets = nullptr;
    }
    UnorderedMap& operator=(const UnorderedMap& another){
        delete[] _buckets;
        _bucket_count = another._bucket_count;
        _mask = another._mask;
        _data_count = another._data_count;
        _buckets = new bucket[_bucket_count + 1u];
        for(unsigned int i = 0u; i <= _bucket_count; ++i){
            _buckets[i] = another._buckets[i];
        }
        return *this;
    }
    UnorderedMap& operator=(UnorderedMap&& another){
        delete[] _buckets;
        _bucket_count = move(another._bucket_count);
        _mask = move(another._mask);
        _data_count = move(another._data_count);
        _buckets = another._buckets;
        another._buckets = nullptr;
        return *this;
    }
    void allocate(unsigned int element_size){
        rehash(ceilpow2(ceil(element_size / MAX_LOAD_RATE) + 1));
    }
    ~UnorderedMap(){ delete[] _buckets; }
    friend ostream& operator<< (ostream& os, UnorderedMap& ump) noexcept {
        for(auto val : ump) os << '{' << val.first << ',' << val.second << "} ";
        return os;
    }
    _Tp& operator[](const _Key& key){ return _find(key, true)->value(); }
    _Tp& operator[](_Key&& key){ return _find(move(key), true)->value(); }
    const _Tp& at(const _Key& key){
        bucket *res = _find(key);
        if(res == _buckets + _bucket_count) __throw_out_of_range("Unordered_Map::at");
        return res->value();
    }
    void clear(){
        UnorderedMap new_unordered_map(0u);
        swap(*this, new_unordered_map);
    }
    size_t size() const noexcept { return _data_count; }
    size_t bucket_count() const noexcept { return _bucket_count; }
    bool empty() const noexcept { return (_data_count == 0); }
    iterator begin() noexcept {
        return (_buckets->empty() && _bucket_count > 0) ? iterator(increment(_buckets)) : iterator(_buckets);
    }
    iterator end() noexcept { return iterator(_buckets + _bucket_count); }
    iterator find(const _Key& key){ return iterator(_find(key)); }
    iterator insert(const data_type& data){ return iterator(find_insert(data)); }
    iterator insert(data_type&& data){ return iterator(find_insert(move(data))); }
    template<typename... Args>
    iterator emplace(Args&&... args){ return iterator(_emplace(forward<Args>(args)...)); }
    size_t erase(const _Key& key){ return erase_key(key); }
    iterator erase(const iterator& itr){ return iterator(erase_itr(itr.bucket_ptr)); }
    void simple_erase(const _Key& key){ erase_key(key); }
    void simple_erase(const iterator& itr){ erase_itr(itr.bucket_ptr, false); }

    // DEBUG 用
    short int maximum_distance() const noexcept {
        short int ret = -1;
        for(bucket *cur = _buckets; !cur->_end; ++cur){
            ret = max(ret, cur->_dist);
        }
        return ret;
    }
};

template<class _Key, class _Tp, class _Hash, bool DOWNSIZE>
class UnorderedMapIterator {
private:
    friend UnorderedMap<_Key, _Tp, _Hash, DOWNSIZE>;
    typename UnorderedMap<_Key, _Tp, _Hash, DOWNSIZE>::bucket *bucket_ptr;
    using iterator_category = forward_iterator_tag;
    using value_type = pair<const _Key, _Tp>;
    using difference_type = ptrdiff_t;
    using reference = pair<const _Key&, _Tp&>;

private:
    UnorderedMapIterator(typename UnorderedMap<_Key, _Tp, _Hash, DOWNSIZE>::bucket *_bucket_ptr)
        noexcept : bucket_ptr(_bucket_ptr){}
public:
    UnorderedMapIterator() noexcept : bucket_ptr(){}
    UnorderedMapIterator(const UnorderedMapIterator& itr) noexcept : bucket_ptr(itr.bucket_ptr){}
    UnorderedMapIterator& operator=(const UnorderedMapIterator& itr)
        & noexcept { return bucket_ptr = itr.bucket_ptr, *this; }
    UnorderedMapIterator& operator=(const UnorderedMapIterator&& itr)
        & noexcept { return bucket_ptr = itr.bucket_ptr, *this; }
    reference operator*() const noexcept { return {bucket_ptr->_key, bucket_ptr->value()}; }
    UnorderedMapIterator& operator++() noexcept {
        return bucket_ptr = UnorderedMap<_Key, _Tp, _Hash, DOWNSIZE>::increment(bucket_ptr), *this;
    }
    UnorderedMapIterator operator++(int) const noexcept {
        return UnorderedMapIterator(UnorderedMap<_Key, _Tp, _Hash, DOWNSIZE>::increment(this->bucket_ptr));
    }
    bool operator==(const UnorderedMapIterator& itr) const noexcept { return !(*this != itr); };
    bool operator!=(const UnorderedMapIterator& itr) const noexcept { return bucket_ptr != itr.bucket_ptr; }
};


int main(){
    INT(n);
    vector<vector<pair<int,int> > > a;
    vector<int> num(n,1);
    UnorderedMap<int,int> mx;
    rep(i,n){
        INT(m);
        vector<pair<int,int> > q;
        rep(j,m){
            INT(p,e);
            chmax(mx[p],e);
            q.push_back({p,e});
            rep(zz,e)num[i] *= p;
        }
        a.push_back(q);
    }
    vector<int> pr;
    for(auto [x,c]:mx){
        pr.push_back(x);
    }
    reverse(all(pr));
    ll K = 1;
    ll cc = 0;
    vector<int> ans;
    for(auto x:pr){
        cc++;
        K *=x;
        ans.push_back(x);
        if(K>=1000000000){
            break;
        }
    }
    auto answer = [&]()->vector<vector<int> >{
        vector<vector<int> > r;
        vector<char> flag(n);
        dbg(ans);
        rep(z,ans.size()){
            vector<int> ttt;
            rep(i,n){
                bool fff = 1;
                if(flag[i])continue;
                for(auto [p,e]:a[i]){
                    if(ans[z]==p){
                        if(mx[p]==e)fff = 0;
                    }
                }
                if(fff){
                    ttt.push_back(i);
                    flag[i] = 1;
                }
            }
            r.push_back(ttt);
        }
        rep(i,n){
            if(!flag[i]){
                return vector<vector<int>>();
            }
        }
        return r;
    };
    if(cc==2){
        vector<vector<int> > res = answer();
        if(res.size()==0){
            cout << -1 << endl;
            return 0;
        }
        cout << res.size() << "\n";
        for(auto&v:res){
            cout << v.size() << " ";
            for(auto x:v){
                cout << num[x] << " ";
            }
            cout << "\n";
        }
        return 0;
    }

    UnorderedMap<int,int> mp;
    vector<vector<int> > s(n);
    rep(i,n){
        vector<int> t;
        for(auto [p,e]:a[i]){
            if(mx[p]==e){
                t.push_back(p);
            }
        }
        if(t.size()==mx.size()){
            cout << -1 << endl;
            return 0;
        }
        s[i] = t;
        int N = t.size();
        vector<int>pp(1<<N);
        pp[0] = 1;
        rep(bits,1<<N){
            if(bits==0)continue;
            int bb = topbit(bits);
            pp[bits] = pp[bits^(1<<bb)] * t[bb];
            mp[pp[bits]]++;
        }
    }
    dbg(num);
    dbg(mp);
    srep(c,2,cc){
        bool ok = 0;
        vector<int> tmp;
        auto dfs = [&](auto&&f,int X,int s,int id)->void{
            if(s==c){
                if(mp[X]==0){
                    ok = 1;
                    ans = tmp;
                }
                return;
            }
            if(id==pr.size())return;
            int p = pr[id];
            tmp.push_back(p);
            f(f,X*p,s+1,id+1);
            if(ok)return;
            tmp.pop_back();
            f(f,X,s,id+1);
        };
        dfs(dfs,1,0,0);
        if(ok){
            vector<vector<int> > res = answer();
            if(res.size()==0){
                cerr<< "error" << endl;
                cout << -1 << endl;
                return 0;
            }
            cout << res.size() << "\n";
            for(auto&v:res){
                cout << v.size() << " ";
                for(auto x:v){
                    cout << num[x] << " ";
                }
                cout << "\n";
            }
            return 0;
        }
    }
    vector<vector<int> > res = answer();
    if(res.size()==0){
        cout << -1 << endl;
        return 0;
    }
    cout << res.size() << "\n";
    for(auto&v:res){
        cout << v.size() << " ";
        for(auto x:v){
            cout << num[x] << " ";
        }
        cout << "\n";
    }
    return 0;
}
0