結果

問題 No.2596 Christmas Eve (Heuristic ver.)
ユーザー bin101bin101
提出日時 2023-12-24 18:31:52
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,004 ms / 1,224 ms
コード長 18,452 bytes
コンパイル時間 4,601 ms
コンパイル使用メモリ 258,748 KB
実行使用メモリ 6,676 KB
スコア 4,699,502
最終ジャッジ日時 2023-12-24 18:34:14
合計ジャッジ時間 141,363 ms
ジャッジサーバーID
(参考情報)
judge12 / judge15
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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 1,002 ms
6,676 KB
testcase_01 AC 1,002 ms
6,676 KB
testcase_02 AC 1,003 ms
6,676 KB
testcase_03 AC 1,002 ms
6,676 KB
testcase_04 AC 1,002 ms
6,676 KB
testcase_05 AC 1,002 ms
6,676 KB
testcase_06 AC 1,002 ms
6,676 KB
testcase_07 AC 1,002 ms
6,676 KB
testcase_08 AC 1,001 ms
6,676 KB
testcase_09 AC 1,001 ms
6,676 KB
testcase_10 AC 1,002 ms
6,676 KB
testcase_11 AC 1,003 ms
6,676 KB
testcase_12 AC 1,002 ms
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testcase_13 AC 1,003 ms
6,676 KB
testcase_14 AC 1,003 ms
6,676 KB
testcase_15 AC 1,003 ms
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testcase_16 AC 1,003 ms
6,676 KB
testcase_17 AC 1,003 ms
6,676 KB
testcase_18 AC 1,003 ms
6,676 KB
testcase_19 AC 1,002 ms
6,676 KB
testcase_20 AC 1,002 ms
6,676 KB
testcase_21 AC 1,001 ms
6,676 KB
testcase_22 AC 1,003 ms
6,676 KB
testcase_23 AC 1,003 ms
6,676 KB
testcase_24 AC 1,003 ms
6,676 KB
testcase_25 AC 1,003 ms
6,676 KB
testcase_26 AC 1,003 ms
6,676 KB
testcase_27 AC 1,003 ms
6,676 KB
testcase_28 AC 1,002 ms
6,676 KB
testcase_29 AC 1,002 ms
6,676 KB
testcase_30 AC 1,002 ms
6,676 KB
testcase_31 AC 1,003 ms
6,676 KB
testcase_32 AC 1,003 ms
6,676 KB
testcase_33 AC 1,002 ms
6,676 KB
testcase_34 AC 1,001 ms
6,676 KB
testcase_35 AC 1,003 ms
6,676 KB
testcase_36 AC 1,003 ms
6,676 KB
testcase_37 AC 1,002 ms
6,676 KB
testcase_38 AC 1,004 ms
6,676 KB
testcase_39 AC 1,001 ms
6,676 KB
testcase_40 AC 1,003 ms
6,676 KB
testcase_41 AC 1,003 ms
6,676 KB
testcase_42 AC 1,003 ms
6,676 KB
testcase_43 AC 1,003 ms
6,676 KB
testcase_44 AC 1,002 ms
6,676 KB
testcase_45 AC 1,003 ms
6,676 KB
testcase_46 AC 1,003 ms
6,676 KB
testcase_47 AC 1,001 ms
6,676 KB
testcase_48 AC 1,003 ms
6,676 KB
testcase_49 AC 1,002 ms
6,676 KB
testcase_50 AC 1,002 ms
6,676 KB
testcase_51 AC 1,002 ms
6,676 KB
testcase_52 AC 1,002 ms
6,676 KB
testcase_53 AC 1,003 ms
6,676 KB
testcase_54 AC 1,003 ms
6,676 KB
testcase_55 AC 1,003 ms
6,676 KB
testcase_56 AC 1,002 ms
6,676 KB
testcase_57 AC 1,003 ms
6,676 KB
testcase_58 AC 1,002 ms
6,676 KB
testcase_59 AC 1,002 ms
6,676 KB
testcase_60 AC 1,002 ms
6,676 KB
testcase_61 AC 1,003 ms
6,676 KB
testcase_62 AC 1,003 ms
6,676 KB
testcase_63 AC 1,003 ms
6,676 KB
testcase_64 AC 1,002 ms
6,676 KB
testcase_65 AC 1,003 ms
6,676 KB
testcase_66 AC 1,003 ms
6,676 KB
testcase_67 AC 1,003 ms
6,676 KB
testcase_68 AC 1,002 ms
6,676 KB
testcase_69 AC 1,003 ms
6,676 KB
testcase_70 AC 1,003 ms
6,676 KB
testcase_71 AC 1,003 ms
6,676 KB
testcase_72 AC 1,003 ms
6,676 KB
testcase_73 AC 1,002 ms
6,676 KB
testcase_74 AC 1,003 ms
6,676 KB
testcase_75 AC 1,002 ms
6,676 KB
testcase_76 AC 1,003 ms
6,676 KB
testcase_77 AC 1,002 ms
6,676 KB
testcase_78 AC 1,002 ms
6,676 KB
testcase_79 AC 1,003 ms
6,676 KB
testcase_80 AC 1,002 ms
6,676 KB
testcase_81 AC 1,002 ms
6,676 KB
testcase_82 AC 1,003 ms
6,676 KB
testcase_83 AC 1,003 ms
6,676 KB
testcase_84 AC 1,002 ms
6,676 KB
testcase_85 AC 1,003 ms
6,676 KB
testcase_86 AC 1,002 ms
6,676 KB
testcase_87 AC 1,003 ms
6,676 KB
testcase_88 AC 1,001 ms
6,676 KB
testcase_89 AC 1,002 ms
6,676 KB
testcase_90 AC 1,002 ms
6,676 KB
testcase_91 AC 1,003 ms
6,676 KB
testcase_92 AC 1,003 ms
6,676 KB
testcase_93 AC 1,003 ms
6,676 KB
testcase_94 AC 1,002 ms
6,676 KB
testcase_95 AC 1,003 ms
6,676 KB
testcase_96 AC 1,002 ms
6,676 KB
testcase_97 AC 1,002 ms
6,676 KB
testcase_98 AC 1,002 ms
6,676 KB
testcase_99 AC 1,001 ms
6,676 KB
testcase_100 AC 1,003 ms
6,676 KB
testcase_101 AC 1,003 ms
6,676 KB
testcase_102 AC 1,002 ms
6,676 KB
testcase_103 AC 1,003 ms
6,676 KB
testcase_104 AC 1,002 ms
6,676 KB
testcase_105 AC 1,003 ms
6,676 KB
testcase_106 AC 1,003 ms
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testcase_107 AC 1,002 ms
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testcase_108 AC 1,002 ms
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testcase_109 AC 1,002 ms
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testcase_110 AC 1,002 ms
6,676 KB
testcase_111 AC 1,003 ms
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testcase_112 AC 1,002 ms
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testcase_113 AC 1,002 ms
6,676 KB
testcase_114 AC 1,003 ms
6,676 KB
testcase_115 AC 1,003 ms
6,676 KB
testcase_116 AC 1,003 ms
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testcase_117 AC 1,002 ms
6,676 KB
testcase_118 AC 1,003 ms
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testcase_119 AC 1,002 ms
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testcase_120 AC 1,003 ms
6,676 KB
testcase_121 AC 1,003 ms
6,676 KB
testcase_122 AC 1,002 ms
6,676 KB
testcase_123 AC 1,003 ms
6,676 KB
testcase_124 AC 1,002 ms
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権限があれば一括ダウンロードができます

ソースコード

diff #

/*
TODO:

*/
//#define NDEBUG

//#define ONLINE_JUDGE

#ifndef ONLINE_JUDGE
//#define OPTUNA
#endif

#ifdef ONLINE_JUDGE
#define NDEBUG
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif

#include<bits/stdc++.h>
using namespace std;
using ll=long long int;
//using Int=__int128;
#define mask(x) ((1LL<<x)-1)
#define ALL(A) A.begin(),A.end()
template<typename T1,typename T2> bool chmin(T1 &a,T2 b){if(a<=b)return 0; a=b; return 1;}
template<typename T1,typename T2> bool chmax(T1 &a,T2 b){if(a>=b)return 0; a=b; return 1;}
template<typename T> int bitUP(T x,int a){return (x>>a)&1;}
enum Dir{
    Right,
    Down,
    Left,
    Up
};
//→ ↓ ← ↑
int dh[4]={0,1,0,-1}, dw[4]={1,0,-1,0};
//上から時計回り
//int dx[8]={0,1,1,1,0,-1,-1,-1}, dy[8]={1,1,0,-1,-1,-1,0,1};
long double EPS = 1e-6;
const ll INF=(1LL<<62);
const int MAX=(1<<30);
using pii=pair<int,int>;
using pil=pair<int,ll>;
using pli=pair<ll,int>;
using pll=pair<ll,ll>;
using psi=pair<string,int>;
using pis=pair<int,string>;
using psl=pair<string,ll>;
using pls=pair<ll,string>;
using pss=pair<string,string>;
template<class T>
using minimum_queue=priority_queue<T,vector<T>,greater<T>>;

using Graph=vector<vector<int>>;

using i8=int8_t;
using i16=int16_t;
using i32=int32_t;
using i64=int64_t;

using u8=uint8_t;
using u16=uint16_t;
using u32=uint32_t;
using u64=uint64_t; 

void FastIO(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(20);
}
//0-indexed vector cin
template<typename T>
inline istream &operator>>(istream &is,vector<T> &v) {
    for(size_t i=0;i<v.size();i++) is>>v[i];
	return is;
}
 
//0-indexed vector cin
template<typename T>
inline istream &operator>>(istream &is,vector<vector<T>> &v) {
    for(size_t i=0;i<v.size();i++){
        is>>v[i];
    }
    return is;
}


struct Xor32{
    using u32=uint32_t;
 
    u32 x=1234567;
    inline u32 rnd_make(){
        x^=(x<<13);
        x=x^(x>>17);
        return x=x^(x<<5);
    }
    inline u32 operator()(){
        return rnd_make();
    }
    //[a,b)
    inline int operator()(int a,int b){
        int dis=b-a;
        int add=rnd_make()%dis;
        return a+add;
    }
    //[0,b)
    inline int operator()(int b){
        return rnd_make()%b;
    }
    //http://web.archive.org/web/20200105011004/https://topcoder.g.hatena.ne.jp/tomerun/20171216/
    //[0,b)の中から異なる2つを選ぶ first<second
    inline pair<int,int> two(int b){
        assert(b>=2);
        int v1=rnd_make()%b;
        int v2=rnd_make()%(b-1);
        if (v2>=v1) return {v1,v2+1};
        else return {v2,v1};
    }
};

struct Xor64{
    u64 x=1234567;
    inline u64 rnd_make(){
    	x ^= x << 13;
    	x ^= x >> 7;
    	x ^= x << 17;
    	return x;
    }
    inline u64 operator()(){
        return rnd_make();
    }
};

struct Timer{
    chrono::high_resolution_clock::time_point st;
    float local;
    Timer(){
#ifndef ONLINE_JUDGE
        local=1.0;
#endif
        start();
    }
    void start(){
        st=chrono::high_resolution_clock::now();
    }
    int span()const{
        auto now=chrono::high_resolution_clock::now();
        return chrono::duration_cast<chrono::milliseconds>(now-st).count();
    }
};
struct TestTimer{
    chrono::high_resolution_clock::time_point st;
    unordered_map<string,ll> sum_time;
    unordered_map<string,chrono::high_resolution_clock::time_point> start_time;

    TestTimer(){}
    void start(const string &s){
#ifndef ONLINE_JUDGE
        start_time[s]=chrono::high_resolution_clock::now();
#endif
    }
    void end(const string &s){
#ifndef ONLINE_JUDGE
        auto now=chrono::high_resolution_clock::now();
        sum_time[s]+=chrono::duration_cast<chrono::nanoseconds>(now-start_time[s]).count();
#endif
    }
    void output()const{
#ifndef ONLINE_JUDGE
        for(auto m:sum_time){
            cerr<<m.first<<": "<<m.second/1e6<<"ms"<<endl;
        }
#endif
    }
};
struct TestCounter{
    unordered_map<string,ll> cnt;

    TestCounter(){}

    void count(const string &s){
#ifndef ONLINE_JUDGE
        cnt[s]++;
#endif
    }
    void output()const{
#ifndef ONLINE_JUDGE
        for(auto m:cnt){
            cerr<<m.first<<": "<<m.second<<endl;
        }
#endif
    }    
};
Timer TIME;
Xor32 Rand32;
Xor64 Rand64;
TestTimer testTimer;
TestCounter testCounter;

//https://atcoder.jp/contests/asprocon9/submissions/34659956
template<class T,int CAPACITY>
class DynamicArray{
public:
    array<T,CAPACITY> array_={};
    int size_=0;

    DynamicArray(){}

    DynamicArray(int n){
        resize(n);
    }

    void push_back(const T &e){
        array_[size_++]=e;
    }
    //ソートされた状態を保つように挿入
    void insert(const T &e){
        int ng=-1,ok=size_;
        while(ok-ng!=1){
            int mid=(ok+ng)/2;
            if(array_[mid]>e) ok=mid;
            else ng=mid;
        }
        for(int i=size_;i>ok;i--){
            array_[i]=array_[i-1];
        }
        array_[ok]=e;
        size_++;
    }
    //eをこえる一番左の添字
    int find_binary_search(const T &e)const{
        int ng=-1,ok=size_;
        while(ok-ng!=1){
            int mid=(ok+ng)/2;
            if(array_[mid]>=e) ok=mid;
            else ng=mid;
        }
        return ok;
    }
    void pop_back(){
        size_--;
    }

    inline T& operator[](int index){
        return array_[index];
    }
	inline const T& operator[](int index) const {
		return array_[index];
	}
    inline int size()const{
        return size_;
    }
    inline T& back(){
        return array_[size_-1];
    }
    const inline T& back()const{
        return array_[size_-1];
    }
	inline auto begin() -> decltype(array_.begin()) {
		return array_.begin();
	}

	inline auto end() -> decltype(array_.begin()) {

		return array_.begin() + size_;
	}

	inline auto begin() const -> decltype(array_.begin()) {
		return array_.begin();
	}

	inline auto end() const -> decltype(array_.begin()) {

		return array_.begin() + size_;
	}
    inline void resize(int new_size){
        size_=new_size;
    }
    void operator=(const DynamicArray &e){
        for(int i=0;i<e.size_;i++){
            array_[i]=e[i];
        }
        size_=e.size_;
    }
    bool operator==(const DynamicArray &v){
        if(size_!=v.size_) return false;
        for(int i=0;i<size_;i++){
            if(array_[i]!=v[i]){
                return false;
            }
        }
        return true;
    }
    bool operator==(const vector<T> &v){
        if(size_!=v.size()) return false;
        for(int i=0;i<size_;i++){
            if(array_[i]!=v[i]){
                return false;
            }
        }
        return true;
    }
    void clear(){
        size_=0;
    }
    //O(1)
    //末尾と入れ替える。順序が保持されないが高速
    void swap_remove(int idx){
        array_[idx]=array_[size_-1];
        size_--;
    }
    //最初から見ていき、一致したものを削除(remove)
    bool erase(T value){
        for(int i=0;i<size_;i++){
            if(array_[i]==value){
                remove(i);
                return true;
            }
        }
        return false;
    }
    void reverse(){
        for(int i=0;i<size_/2;i++){
            swap(array_[i],array_[size_-1-i]);
        }
    }
    //O(size)
    //順序を気にしない場合、swap_removeの方がいい
    void remove(int idx){
        for(int i=idx;i<size_-1;i++){
            array_[i]=array_[i+1];
        }
        size_--;
    }
    void fill(T x){
        for(int i=0;i<size_;i++){
            array_[i]=x;
        }
    }
};

//ソート
template<typename T>
inline void vsort(vector<T> &v){
    sort(v.begin(),v.end());
}
//逆順ソート
template<typename T>
inline void rvsort(vector<T> &v){
	sort(v.rbegin(),v.rend());
}
//1ビットの数を返す
inline int popcount(int x){
	return __builtin_popcount(x);
}
//1ビットの数を返す
inline int popcount(ll x){
	return __builtin_popcountll(x);
}
template<typename T>
inline void Compress(vector<T> &C){
    sort(C.begin(),C.end());
    C.erase(unique(C.begin(),C.end()),C.end());
}
//要素数n 初期値x
template<typename T>
inline vector<T> vmake(size_t n,T x){
	return vector<T>(n,x);
}

//a,b,c,x data[a][b][c] 初期値x
template<typename... Args>
auto vmake(size_t n,Args... args){
	auto v=vmake(args...);
	return vector<decltype(v)>(n,move(v));
}

//vは昇順
bool is_in(const vector<int> &v,int x){
    int n=v.size();
    if(n==0) return false;
    int ng=-1,ok=n-1;
    while(ok-ng!=1){
        int mid=(ok+ng)/2;
        if(v[mid]<x) ng=mid;
        else ok=mid;
    }
    if(v[ok]==x) return true;
    return false;
}

template<typename T >
struct edge {
	int to;
	T cost;
    int id;
	edge()=default;
	edge(int to, T cost,int id) : to(to), cost(cost), id(id) {}
};
template<class T >
struct Edge {
    int from, to,id;
    T cost;
    Edge(int from,int to,T cost,int id):from(from),to(to),cost(cost),id(id){}
    Edge()=default;

    bool operator<(const Edge<T> &e){
        return cost<e.cost;
    }
    bool operator<=(const Edge<T> &e){
        return cost<=e.cost;
    }
};
template<typename T>
using WeightGraph=vector<vector<edge<T>>>;
//vector cout
template<typename T>
inline ostream &operator<<(ostream &os,const vector<T> &v) {
    bool sp=true;
    if(string(typeid(T).name())=="c") sp=false;
    for(size_t i=0;i<v.size();i++){
        if(i and sp) os<<" ";
        os<<v[i];
    }
    return os;
}
//vector<vector> cout
template<typename T>
inline ostream &operator<<(ostream &os,const vector<vector<T>> &v) {
    for(size_t i=0;i<v.size();i++){
        os<<v[i];
        if(i+1!=v.size()) os<<"\n";
    }
    return os;
}
//pair cout
template<typename T, typename U>
inline ostream &operator<<(ostream &os,const pair<T,U> &p) {
	os<<p.first<<" "<<p.second;
	return os;
}
//map cout
template<typename F, typename S>
inline ostream &operator<<(ostream &os,const map<F,S> &M) {
	bool first=false;
    for(auto x:M){
        if(first) os<<endl;
        first=true;
        os<<x;
    }
	return os;
}
//set cout
template<typename T>
inline ostream &operator<<(ostream &os,const set<T> &S) {
	bool first=false;
    for(auto x:S){
        if(first) os<<endl;
        first=true;
        os<<x;
    }
	return os;
}
 
//pair cin
template<typename T, typename U>
inline istream &operator>>(istream &is,pair<T,U> &p) {
	is>>p.first>>p.second;
	return is;
}
template<typename T>
void append(vector<T> &v,const vector<T> &vp){
    for(auto p:vp){
        v.push_back(p);
    }
}
//Fisher–Yatesアルゴリズム
template<typename T>
void shuffle(vector<T> &v){
    int sz=v.size();
    for(int i=sz-1;i>0;i--){
        swap(v[Rand32()%(i+1)],v[i]);
    }
}

template<class T,class U>
T linear_function(U x,U start_x,U end_x,T start_value,T end_value){
    if(x>=end_x) return end_value;
    if(x<=start_x) return start_value;
    return start_value+(end_value-start_value)*(x-start_x)/(end_x-start_x);
}

///++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
///++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
///++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
//https://atcoder.jp/contests/asprocon9/submissions/34659956
#ifndef OPTUNA 
#define REGIST_PARAM(name, type, defaultValue) constexpr type name = defaultValue
#else
#define REGIST_PARAM(name, type, defaultValue) type name = defaultValue
#endif

namespace OP{
    REGIST_PARAM(yama,bool,false);
    REGIST_PARAM(startTemp,double,500000);
    REGIST_PARAM(endTemp,float,0);
    REGIST_PARAM(TIME_END,int,1900);
};

constexpr int num_parts=500;
int num_tree;

struct Parts{
    int width;
    int height;
    int id;
    bool used=false;
};
vector<Parts> bases_input(num_parts*2);
vector<Parts> middles_input(num_parts);
vector<Parts> tops_input(num_parts);

void input(){
    int dummy;
    cin>>dummy;
    cin>>num_tree;

    for(int i=0;i<num_parts;i++){
        cin>>middles_input[i].width;
        middles_input[i].id=i;
    }
    for(int i=0;i<num_parts;i++){
        cin>>middles_input[i].height;
    }
    for(int i=0;i<num_parts*2;i++){
        cin>>bases_input[i].width;
        bases_input[i].id=i;
    }
    for(int i=0;i<num_parts*2;i++){
        cin>>bases_input[i].height;
    }
    for(int i=0;i<num_parts;i++){
        cin>>tops_input[i].width;
        tops_input[i].id=i;
    }
    for(int i=0;i<num_parts;i++){
        cin>>tops_input[i].height;
    }
}
struct Ans{
    array<Parts,2> bases;
    Parts middle;
    Parts top;

    bool is_valid(){
        if(min(bases[0].width,bases[1].width)<=middle.width) return false;
        if(middle.width<=top.width) return false;
        return true;
    }
    int height(){
        int h=0;
        h+=bases[0].height;
        h+=bases[1].height;
        h+=middle.height;
        h+=top.height;
        return h; 
    }
};
vector<Ans> ans;

vector<Parts> bases_res;
vector<Parts> middles_res;
vector<Parts> tops_res;


void make_valid_ans(){
    auto bases=bases_input;
    auto middles=middles_input;
    auto tops=tops_input;

    sort(bases.begin(),bases.end(),
        [&](Parts a,Parts b){
            return a.width>b.width;
        });
    sort(middles.begin(),middles.end(),
        [&](Parts a,Parts b){
            return a.width>b.width;
        });
    sort(tops.begin(),tops.end(),
        [&](Parts a,Parts b){
            return a.width>b.width;
        });

    vector<int> now(3,0);
    while(ans.size()!=num_tree){
        Ans a;
        a.bases[0]=bases[now[0]];
        a.bases[1]=bases[now[0]+1];
        now[0]+=2;

        int w=a.bases[1].width;

        for(int i=now[1];;i++){
            if(w>middles[i].width){
                now[1]=i+1;
                a.middle=middles[i];
                w=middles[i].width;
                break;
            }
            middles_res.push_back(middles[i]);
        }

        for(int i=now[2];;i++){
            if(w>tops[i].width){
                now[2]=i+1;
                a.top=tops[i];
                break;
            }
            tops_res.push_back(tops[i]);
        }

        ans.push_back(a);
    }
    for(int i=now[0];i<num_parts*2;i++){
        bases_res.push_back(bases[i]);
    }
    for(int i=now[1];i<num_parts;i++){
        middles_res.push_back(middles[i]);
    }
    for(int i=now[2];i<num_parts;i++){
        tops_res.push_back(tops[i]);
    }
}
ll evaluate(vector<Ans> &ans){
    int min_h=MAX;
    int max_h=-1;
    ll error_value=0;

    for(auto a:ans){
        chmin(min_h,a.height());
        chmax(max_h,a.height());
        if(a.is_valid()==false) error_value+=1e5;
    }
    return error_value+(max_h-min_h);
}

void output(vector<Ans> ans){
    for(auto a:ans){
        assert(a.is_valid());
        cout<<a.middle.id+1<<" "<<a.bases[0].id+1<<" "<<a.bases[1].id+1<<" "<<a.top.id+1<<endl;
        //cerr<<middles_input[a.middle.id].width<<" "<<bases_input[a.bases[0].id].width<<" "<<bases_input[a.bases[1].id].width<<" "<<tops_input[a.top.id].width<<endl;
    }
}
/*
1. validな解を作る
2. 最小(最大)の木を大きく(小さく)する近傍で遷移
*/

void solve(){
    input();
    make_valid_ans();

    auto is_valid=[&](int i){
        return ans[i].is_valid();
    };
    auto is_up=[&](int i,int pre_height,bool minimum){
        if(minimum) return ans[i].height()>pre_height;
        return ans[i].height()<pre_height;
    };
    auto is_not_change=[&](int i,int j,bool minimum){
        if(minimum) return ans[i].height()<=ans[j].height();
        return ans[i].height()>=ans[j].height();
    };
    auto is_down=[&](int i,int pre_height){
        return ans[i].height()<pre_height;
    };

    cerr<<evaluate(ans)<<endl;
    int update=0;

    while(TIME.span()<1000){
        update++;
        bool minimum=false;
        if(Rand32(2)){
            sort(ans.begin(),ans.end(),
                [&](Ans a,Ans b){
                    return a.height()<b.height();
                });
            minimum=true;
        }else{
            sort(ans.begin(),ans.end(),
                [&](Ans a,Ans b){
                    return a.height()>b.height();
                });
        }

        bool done=false;
        int pre_height=ans[0].height();
        for(int i=num_tree-1;i>=1;i--){
            swap(ans[0].bases,ans[i].bases);
            if(is_valid(0) and is_valid(i) and is_up(0,pre_height,minimum) and is_not_change(0,i,minimum)){
                done=true;
                break;
            }
            swap(ans[0].bases,ans[i].bases);

            swap(ans[0].middle,ans[i].middle);
            if(is_valid(0) and is_valid(i) and is_up(0,pre_height,minimum) and is_not_change(0,i,minimum)){
                done=true;
                break;
            }
            swap(ans[0].middle,ans[i].middle);

            swap(ans[0].top,ans[i].top);
            if(is_valid(0) and is_valid(i) and is_up(0,pre_height,minimum) and is_not_change(0,i,minimum)){
                done=true;
                break;
            }
            swap(ans[0].top,ans[i].top);
        }
        if(done) continue;

        for(int j=0;j<2;j++){
            for(auto &b:bases_res){
                swap(ans[0].bases[j],b);
                if(is_valid(0) and is_up(0,pre_height,minimum) and is_not_change(0,num_tree-1,minimum)){
                    done=true;
                    break;
                }
                swap(ans[0].bases[j],b);
            }
            if(done) break;
        }
        if(done) continue;

        for(auto &m:middles_res){
            swap(ans[0].middle,m);
            if(is_valid(0) and is_up(0,pre_height,minimum) and is_not_change(0,num_tree-1,minimum)){
                done=true;
                break;
            }
            swap(ans[0].middle,m);
        }
        if(done) continue;
        for(auto &t:tops_res){
            swap(ans[0].top,t);
            if(is_valid(0) and is_up(0,pre_height,minimum) and is_not_change(0,num_tree-1,minimum)){
                done=true;
                break;
            }
            swap(ans[0].top,t);
        }
    }
    output(ans);
    cerr<<update<<endl;

    
#ifndef ONLINE_JUDGE
    testTimer.output();
    testCounter.output();
    cerr<<TIME.span()<<"ms"<<endl;
    cerr<<"score: "<<evaluate(ans)<<endl;
#endif
}
 
int main(const int argc,const char** argv){
#ifndef OPTUNA
    if(argc!=1){

    }
#endif
    FastIO();
    int T=1;
    //cin>>T;
    while(T--) solve();
}
0