結果
| 問題 | No.5019 Hakai Project |
| ユーザー |
 bin101
|
| 提出日時 | 2023-11-20 08:55:06 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 2,916 ms / 3,000 ms |
| コード長 | 41,869 bytes |
| コンパイル時間 | 8,170 ms |
| コンパイル使用メモリ | 327,620 KB |
| 実行使用メモリ | 83,652 KB |
| スコア | 2,838,613,267 |
| 最終ジャッジ日時 | 2023-11-20 08:57:39 |
| 合計ジャッジ時間 | 151,170 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge15 |
| 純コード判定しない問題か言語 |
（要ログイン）
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 | 2,642 ms
77,792 KB |
| testcase_01 | AC | 2,893 ms
77,444 KB |
| testcase_02 | AC | 2,902 ms
82,044 KB |
| testcase_03 | AC | 2,518 ms
63,956 KB |
| testcase_04 | AC | 2,416 ms
74,048 KB |
| testcase_05 | AC | 2,602 ms
68,524 KB |
| testcase_06 | AC | 2,657 ms
65,764 KB |
| testcase_07 | AC | 2,906 ms
75,216 KB |
| testcase_08 | AC | 2,549 ms
71,008 KB |
| testcase_09 | AC | 2,895 ms
70,996 KB |
| testcase_10 | AC | 2,322 ms
59,504 KB |
| testcase_11 | AC | 2,907 ms
73,360 KB |
| testcase_12 | AC | 2,882 ms
71,896 KB |
| testcase_13 | AC | 2,813 ms
71,796 KB |
| testcase_14 | AC | 2,334 ms
67,496 KB |
| testcase_15 | AC | 2,670 ms
64,736 KB |
| testcase_16 | AC | 2,439 ms
71,128 KB |
| testcase_17 | AC | 2,261 ms
70,236 KB |
| testcase_18 | AC | 2,898 ms
73,376 KB |
| testcase_19 | AC | 2,732 ms
67,916 KB |
| testcase_20 | AC | 2,895 ms
72,192 KB |
| testcase_21 | AC | 2,789 ms
74,340 KB |
| testcase_22 | AC | 2,325 ms
65,072 KB |
| testcase_23 | AC | 2,892 ms
67,564 KB |
| testcase_24 | AC | 2,907 ms
83,652 KB |
| testcase_25 | AC | 2,829 ms
72,084 KB |
| testcase_26 | AC | 2,916 ms
69,760 KB |
| testcase_27 | AC | 2,333 ms
74,960 KB |
| testcase_28 | AC | 2,439 ms
61,020 KB |
| testcase_29 | AC | 2,218 ms
64,332 KB |
| testcase_30 | AC | 2,691 ms
66,320 KB |
| testcase_31 | AC | 2,876 ms
62,484 KB |
| testcase_32 | AC | 2,890 ms
68,616 KB |
| testcase_33 | AC | 2,434 ms
76,564 KB |
| testcase_34 | AC | 2,894 ms
73,692 KB |
| testcase_35 | AC | 2,895 ms
70,260 KB |
| testcase_36 | AC | 2,512 ms
70,984 KB |
| testcase_37 | AC | 2,693 ms
63,208 KB |
| testcase_38 | AC | 2,813 ms
63,872 KB |
| testcase_39 | AC | 2,406 ms
73,576 KB |
| testcase_40 | AC | 2,899 ms
71,612 KB |
| testcase_41 | AC | 2,896 ms
79,732 KB |
| testcase_42 | AC | 2,604 ms
63,984 KB |
| testcase_43 | AC | 2,351 ms
74,136 KB |
| testcase_44 | AC | 2,901 ms
71,792 KB |
| testcase_45 | AC | 2,391 ms
63,464 KB |
| testcase_46 | AC | 2,578 ms
71,476 KB |
| testcase_47 | AC | 2,797 ms
75,812 KB |
| testcase_48 | AC | 2,819 ms
71,628 KB |
| testcase_49 | AC | 2,905 ms
77,652 KB |
ソースコード
/*
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>>17);
x^=(x<<5);
return x;
}
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 [0]の値<[1]の値
inline array<int,2> 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};
}
inline float random01(){
return float(rnd_make())/mask(32);
}
inline double random_double(double a,double b){
double sa=b-a;
a+=random01()*sa;
return a;
}
//確率pでtrueを返す
inline bool gen_bool(float p){
return p>random01();
}
};
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;
}
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];
}
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_;
}
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);
}
//http://gasin.hatenadiary.jp/entry/2019/09/03/162613
struct SimulatedAnnealing{
float temp_start; //差の最大値(あくまでも参考)
float temp_end; //差の最小値(あくまでも参考)
float time_start;
float time_end;
bool is_hill;
bool minimum;
int interval; //intervalごとに温度の再計算
float temp_now;
int cnt_calc_temp;
/*
0:線形
1:pow pow
2:指数
*/
int type_temp=0;
//SimulatedAnnealing(){}
SimulatedAnnealing(float temp_start,float temp_end,float time_start,float time_end,bool is_hill,bool minimum,int interval=1):
temp_start(temp_start),temp_end(temp_end),time_start(time_start),time_end(time_end),
is_hill(is_hill),minimum(minimum),interval(interval),temp_now(temp_start),cnt_calc_temp(0){
}
float calc_temp(){
if(cnt_calc_temp%interval==0){
float progress=float(TIME.span()-time_start)/(time_end-time_start);
if(progress>1.0) progress=1.0;
if(type_temp==0){//線形
temp_now=temp_start*(1.0-progress)+temp_end*progress;
}else if(type_temp==1){ //https://atcoder.jp/contests/ahc014/submissions/35326979
temp_now = pow(temp_start,1.0-progress)*pow(temp_end,progress);
}else{ //https://ozy4dm.hateblo.jp/entry/2022/12/22/162046#68-%E3%83%97%E3%83%AB%E3%83%BC%E3%83%8B%E3%83%B3%E3%82%B0%E6%97%A9%E6%9C%9F%E7%B5%82%E4%BA%86%E5%8D%98%E7%B4%94%E5%8C%96%E3%81%95%E3%82%8C%E3%81%9F%E8%A8%88%E7%AE%97%E3%82%92%E4%BD%BF%E7%94%A8%E3%81%99%E3%82%8B
temp_now = temp_start*pow(temp_end/temp_start,progress);
}
}
cnt_calc_temp++;
return temp_now;
}
//diff: スコアの変化量
//確率を計算
float calc_prob(float diff){
if(minimum) diff*=-1;
if(diff>0) return 1;
float temp=calc_temp();
return exp(diff/temp);
}
inline bool operator()(float diff){
testCounter.count("try_cnt");
if(minimum) diff*=-1;
if(diff>=0){
if(diff==0) testCounter.count("zero_change");
else testCounter.count("plus_change");
return true;
}
if(is_hill) return false;
float prob = exp(diff/calc_temp());
if(Rand32.gen_bool(prob)){
testCounter.count("minus_change");
return true;
}
else return false;
}
//最大化の場合,返り値<変化量なら遷移してもよい
float calc_tolerance(float prob){
float tolerance=log(prob)*calc_temp();
if(minimum) tolerance*=-1;
return tolerance;
}
//log(prob)*temp prob:[0,1]の乱数
float calc_tolerance(){
float prob=Rand32.random01();
return calc_tolerance(prob);
}
};
///++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
///++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
///++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
//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 Height=50;
constexpr int Width=50;
vector<string> ans;
struct Place{
int h,w;
Place(){}
Place(int h,int w):h(h),w(w){
}
Place(int idx):h(idx/Width),w(idx%Width){
}
int dist(const Place &np)const{
return abs(np.h-h)+abs(np.w-w);
}
Place pre_place(int dir){
return Place(h-dh[dir],w-dw[dir]);
}
Place next_place(int dir){
return Place(h+dh[dir],w+dw[dir]);
}
void move(int dir){
h+=dh[dir];
w+=dw[dir];
}
void remove(int dir){
h-=dh[dir];
w-=dw[dir];
}
bool ok_move(int dir){
return h+dh[dir]<Height and w+dw[dir]<Width and h+dh[dir]>=0 and w+dw[dir]>=0;
}
bool out_grid(){
return h>=Height or w>=Width or h<0 or w<0;
}
bool operator==(const Place &p){
return h==p.h and w==p.w;
}
bool operator!=(const Place &p){
return h!=p.h or w!=p.w;
}
int idx(){
return h*Width+w;
}
int id(){
return idx();
}
//上下 左右
bool operator<(Place &p){
if(p.h!=h) return h<p.h;
return w<p.w;
}
friend istream& operator>>(istream& is, Place& p){
is>>p.h>>p.w;
return is;
}
friend ostream& operator<<(ostream& os, Place& p){
os<<p.h<<" "<<p.w;
return os;
}
void move(Place p){
h+=p.h;
w+=p.w;
}
};
//[0,n)の集合を管理
//値の追加・削除・存在確認: O(1)
//空間計算量: O(n)
//重複は許さない
//https://topcoder-tomerun.hatenablog.jp/entry/2021/06/12/134643
template<int CAPACITY>
struct IndexSet{
DynamicArray<int,CAPACITY> set_;
array<int,CAPACITY> pos_;
IndexSet(){
for(int i=0;i<CAPACITY;i++){
pos_[i]=-1;
}
set_.clear();
}
void insert(int v){
assert(v>=0 and v<CAPACITY);
assert(pos_[v]==-1);
if(pos_[v]!=-1) return;
pos_[v]=set_.size();
set_.push_back(v);
}
void remove(int v){
assert(pos_[v]!=-1);
int last=set_[set_.size()-1];
set_[pos_[v]]=last;
pos_[last]=pos_[v];
set_.pop_back();
pos_[v]=-1;
}
bool contains(int v)const{
return pos_[v]!=-1;
}
int size()const{
return set_.size();
}
int random()const{
assert(set_.size());
int x=set_[Rand32(set_.size())];
assert(pos_[x]!=-1);
return x;
}
int random_extract(){
int v=set_[Rand32(set_.size())];
remove(v);
return v;
}
void clear(){
while(size()){
remove(set_.back());
}
}
vector<int> make_vector(){
vector<int> v;
for(int x:set_){
v.push_back(x);
}
return v;
}
friend ostream& operator<<(ostream& os, const IndexSet& S) {
vector<int> v;
for(int x:S.set_){
v.push_back(x);
}
sort(v.begin(),v.end());
bool first=true;
for (auto& e : v){
if(not first) os<<" ";
first=false;
os<<e;
}
return os;
}
inline auto begin() -> decltype(set_.begin()) {
return set_.begin();
}
inline auto end() -> decltype(set_.begin()) {
return set_.begin() + set_.size_;
}
inline auto begin() const -> decltype(set_.begin()) {
return set_.begin();
}
inline auto end() const -> decltype(set_.begin()) {
return set_.begin() + set_.size_;
}
};
template<class Cost>
struct GridDistance{
using pti=pair<Cost,int>;
int Height;
int Width;
vector<vector<Cost>> cost_grid;
GridDistance(int Height,int Width):Height(Height),Width(Width){
cost_grid=vmake(Height,Width,Cost());
}
void set_cost(int h,int w,Cost cost){
cost_grid[h][w]=cost;
}
vector<Cost> dijkstra(Place start){
vector<Cost> dist(Height*Width,numeric_limits<Cost>::max());
priority_queue<pti,vector<pti>,greater<pti>> que;
dist[start.id()]=0;
que.emplace(dist[start.id()],start.id());
while(que.size()){
Place now_place;
Cost now_cost;
tie(now_cost,now_place)=que.top(); que.pop();
if(now_cost>dist[now_place.id()]) continue;
for(int dir=0;dir<4;dir++){
auto next_place=now_place.next_place(dir);
if(next_place.out_grid()) continue;
Cost next_cost=dist[now_place.id()]+cost_grid[next_place.h][next_place.w];
if(chmin(dist[next_place.id()],next_cost)){
que.emplace(next_cost,next_place.id());
}
}
}
return dist;
}
pair<Cost,vector<char>> query_path(Place start,Place goal){
auto dist=dijkstra(start);
vector<Place> path;
auto now_place=goal;
path.push_back(now_place);
while(now_place!=start){
for(int dir=0;dir<4;dir++){
auto np=now_place.next_place(dir);
if(np.out_grid()) continue;
if(dist[np.id()]+cost_grid[now_place.h][now_place.w]==dist[now_place.id()]){
now_place=np;
break;
}
}
path.push_back(now_place);
}
reverse(path.begin(),path.end());
vector<char> path_dir;
for(int i=0;i+1<path.size();i++){
auto p=path[i];
for(int dir=0;dir<4;dir++){
auto np=p.next_place(dir);
if(np==path[i+1]){
path_dir.push_back(dir);
break;
}
}
}
return {dist[goal.id()],path_dir};
}
};
GridDistance<int> Distance(Height,Width);
Place find_nearest(const Place &p,const vector<Place> &ps,bool easy=true){
int distance=MAX;
Place nearest;
for(auto np:ps){
int dist;
if(easy) dist=p.dist(np);
else dist=Distance.query_path(p,np).first;
if(chmin(distance,dist)){
nearest=np;
}
}
return nearest;
}
template<class T>
pair<Place,T> find_nearest(Place &p,vector<pair<Place,T>> &ps,bool easy=true){
int distance=MAX;
pair<Place,T> nearest;
for(auto np:ps){
int dist;
if(easy) dist=p.dist(np.first);
else dist=Distance.query_path(p,np.first).first;
if(chmin(distance,dist)){
nearest=np;
}
}
return nearest;
}
void output_move(Place &start,Place goal){
auto path_dir=Distance.query_path(start,goal).second;
start=goal;
for(int dir:path_dir){
string s="1 ";
string c="U";
if(dir==0) c="R";
if(dir==1) c="D";
if(dir==2) c="L";
s+=c;
ans.push_back(s);
}
}
struct Bomb{
int cost;
vector<Place> ps;
};
constexpr int num_bomb=20;
auto map_input=vmake(Height,Width,'.');
vector<Bomb> bombs(num_bomb);
void input(){
int dummy;
cin>>dummy>>dummy;
for(int h=0;h<Height;h++) for(int w=0;w<Width;w++){
cin>>map_input[h][w];
}
for(int b=0;b<num_bomb;b++){
cin>>bombs[b].cost;
int size;
cin>>size;
bombs[b].ps.resize(size);
cin>>bombs[b].ps;
}
}
//https://www.sciencedirect.com/science/article/pii/0305054881900174
//AlgorithmA 一番コスパが高いものを選ぶ貪欲
//TODO:https://scmopt.github.io/opt100/74scp.html を参考にしてもっと書く(weightedがついてないけど重み付きっぽい)
template<class Name,class Cost,int max_num_element,int max_num_set>
struct SetCovering{
struct Set{
Name name;
Cost cost;
vector<int> elements;
bitset<max_num_element> bits;
Set(Name name,Cost cost,vector<int> elements):
name(name),cost(cost),elements(elements){
bits.reset();
for(int element:elements){
bits.flip(element);
}
}
};
int num_element;
vector<Set> sets;
vector<int> best_solution;
Cost best_cost;
vector<vector<int>> sets_contain;
vector<int> candidate_sets;
//現在注目している解
IndexSet<max_num_set> now_solution;
IndexSet<max_num_element> uncovered_element;
vector<int> cnt_covered;
vector<int> num_uncovered_element;
Cost now_cost;
SetCovering(int num_element):num_element(num_element),sets_contain(num_element),
cnt_covered(num_element),
num_uncovered_element(max_num_set),now_cost(0){
for(int i=0;i<num_element;i++){
uncovered_element.insert(i);
}
}
void add_set(Name name,Cost cost,vector<int> elements){
Set set({name,cost,elements});
sets.push_back(set);
for(int element:set.elements){
sets_contain[element].push_back(sets.size()-1);
}
candidate_sets.push_back(sets.size()-1);
is_candidate.push_back(true);
}
void calc_sets_contain(){
sets_contain.clear();
sets_contain.resize(num_element);
for(int id:candidate_sets){
for(int element:sets[id].elements){
sets_contain[element].push_back(id);
}
}
}
//set_idsの中から一番コスパ(num_uncovered/cost)が良いものを貪欲に選んで返す
int greedy_one(const vector<int> &set_ids,bool contains_erased=true){
int id_best=-1;
double costper_best=-1;
for(int id:set_ids){
if(num_uncovered_element[id]==0) continue;
if(contains_erased==false and sets_erase.contains(id)) continue;
if(chmax(costper_best,double(num_uncovered_element[id])/sets[id].cost)){
id_best=id;
}
}
return id_best;
}
void add_solution(int id_set){
for(int element:sets[id_set].elements){
cnt_covered[element]++;
if(cnt_covered[element]>1) continue;
uncovered_element.remove(element);
for(int id_set:sets_contain[element]){
num_uncovered_element[id_set]--;
}
}
now_cost+=sets[id_set].cost;
now_solution.insert(id_set);
if(sets_erase.contains(id_set)){
sets_erase.remove(id_set);
}else{
sets_add.insert(id_set);
}
}
void erase_solution(int id_set){
for(int element:sets[id_set].elements){
cnt_covered[element]--;
if(cnt_covered[element]) continue;
uncovered_element.insert(element);
for(int id_set:sets_contain[element]){
num_uncovered_element[id_set]++;
}
}
now_cost-=sets[id_set].cost;
now_solution.remove(id_set);
if(sets_add.contains(id_set)){
sets_add.remove(id_set);
}else{
sets_erase.insert(id_set);
}
}
//0: 消した 1:追加した
IndexSet<max_num_set> sets_add;
IndexSet<max_num_set> sets_erase;
void neighborhood(){
//解から消す
int num_erase=Rand32(1,now_solution.size()*0.1);
for(int i=0;i<num_erase;i++){
int id=now_solution.random();
erase_solution(id);
}
bool not_first=false;
//貪欲で実行可能解にする
while(uncovered_element.size()){
int element=uncovered_element.random();
int set_id=greedy_one(sets_contain[element],not_first);
//int set_id=greedy_one(candidate_sets);
assert(set_id!=-1);
add_solution(set_id);
not_first=true;
}
while(true){
int set_id=flip1();
if(set_id==-1) break;
erase_solution(set_id);
}
}
//O(解のサイズの次数の合計)
int flip1(){
for(int id_set:now_solution){
bool ok=true;
for(int element:sets[id_set].elements){
if(cnt_covered[element]==1){
ok=false;
break;
}
}
if(ok){
return id_set;
}
}
return -1;
}
//焼きなまし
void solve(int time_limit,double startTemp,bool is_hill){
for(int s:candidate_sets){
num_uncovered_element[s]=sets[s].elements.size();
}
now_cost=0;
now_solution.clear();
//貪欲法で初期解を作る
while(uncovered_element.size()){
int element=uncovered_element.random();
int set_id=greedy_one(candidate_sets);
add_solution(set_id);
}
cerr<<"cost(greedy): "<<now_cost<<endl;
best_cost=now_cost;
best_solution=now_solution.make_vector();
//candidate_setsを小さくする
//kanwa();
cerr<<"size(candidate_sets): "<<candidate_sets.size()<<endl;
int start_time=TIME.span();
//焼きなまし
//float temp_start,float temp_end,float time_start,float time_end,bool is_hill,bool minimum,int interval=1
SimulatedAnnealing SA(startTemp,0,start_time,start_time+time_limit,is_hill,true,1);
int cnt_update=0;
int cnt_try=0;
int T=10;
while(start_time+TIME.span()<time_limit or T--){
sets_add.clear();
sets_erase.clear();
Cost pre_cost=now_cost;
//cerr<<now_cost<<endl;
neighborhood();
cnt_try++;
double tol=SA.calc_tolerance();
if(SA(now_cost-pre_cost)){
cnt_update++;
if(chmin(best_cost,now_cost)){
best_solution=now_solution.make_vector();
}
}else{
assert(sets_add.size() or sets_erase.size());
for(int id_set:sets_add){
erase_solution(id_set);
}
for(int id_set:sets_erase){
add_solution(id_set);
}
assert(pre_cost==now_cost);
}
}
cerr<<cnt_update<<"/"<<cnt_try<<endl;
cerr<<"best_cost: "<<best_cost<<endl;
}
vector<bool> is_candidate;
vector<int> s;
vector<double> relative_cost;
//candidate_sets
void set_relative_cost(const vector<double> &v){
relative_cost.resize(sets.size());
for(int id_set:candidate_sets){
double cost=sets[id_set].cost;
for(int element:sets[id_set].elements){
cost-=v[element];
}
relative_cost[id_set]=cost;
}
}
//各要素につき、上位deg個を残す
//被ったものも数に数える（つまり、deg*num_elementより少なくなる）
void narrow_down(int deg,const vector<double> &v){
vector<int> pre_candidates=candidate_sets;
set_relative_cost(v);
candidate_sets.clear();
is_candidate.assign(sets.size(),false);
sort(pre_candidates.begin(),pre_candidates.end(),
[&](int i,int j){
return relative_cost[i]<relative_cost[j];
});
for(int i=0;i<min<int>(pre_candidates.size(),deg*num_element);i++){
candidate_sets.push_back(pre_candidates[i]);
is_candidate[i]=true;
}
for(int element=0;element<num_element;element++){
vector<int> ids;
for(int id:sets_contain[element]){
ids.push_back(id);
}
sort(ids.begin(),ids.end(),
[&](int i,int j){
return relative_cost[i]<relative_cost[j];
});
for(int i=0;i<min<int>(deg,ids.size());i++){
int id=ids[i];
if(is_candidate[id]) continue;
candidate_sets.push_back(id);
is_candidate[id]=true;
}
}
calc_sets_contain();
}
double calc_L(const vector<double> &v){
set_relative_cost(v);
s.assign(num_element,1);
double sum=0;
for(double x:v){
sum+=x;
}
for(int set_id:candidate_sets){
if(relative_cost[set_id]<0){
sum+=relative_cost[set_id];
for(int element:sets[set_id].elements){
s[element]--;
}
}
}
return sum;
}
/*
最初: 1個の要素につき上位10個
最終: 1個の要素につき上位5個
*/
void kanwa(){
assert(best_cost!=0);
//vの初期化
vector<double> v(num_element,numeric_limits<double>::max());
for(auto &set:sets){
for(int element:set.elements){
chmin(v[element],double(set.cost)/set.elements.size());
}
}
//1個の要素につき上位10個
narrow_down(20,v);
//vの更新
int T=100;
double lamda=4;
int beta=15;
double rho=1.2;
double max_L=calc_L(v);
vector<int> max_s=s;
vector<double> max_v=v; //Lを最大にするv
while(T--){
double L=calc_L(v);
if(chmax(max_L,L)){
max_v=v;
}else{
L=max_L;
v=max_v;
s=max_s;
lamda/=rho;
}
double s2_sum=0;
for(int x:s){
s2_sum+=x*x;
}
for(int element=0;element<num_element;element++){
v[element]=max(0.0,v[element]+lamda*(best_cost-L)/s2_sum*s[element]);
//v[element]=max<double>(0.0,v[element]+0.1*s[element]);
}
cerr<<"L: "<<L<<endl;
assert(L<=best_cost);
}
cerr<<"max_L: "<<max_L<<endl;
//1個の要素につき上位5個
narrow_down(10,max_v);
}
};
struct HashMap{
vector<u64> table;
HashMap(int size):table(size){
for(auto &x:table){
x=Rand64();
}
}
u64 operator[](int id){
return table[id];
}
};
HashMap hashmap(1000);
Place center_shop;
template<class Action,class Score,class Hash>
struct State{
static vector<Place> place_shop;
static vector<Place> place_action;
static vector<vector<int>> bakuha_shop;
vector<pii> history_actions;
vector<bool> is_bakuha_shop;
vector<bool> is_done_action;
int score;
Place now_place;
State(int action_size,int shop_size):is_bakuha_shop(shop_size),is_done_action(action_size),score(0),now_place(0,0){
}
Score calc_score(){
return score;
}
Hash calc_hash(){
u64 hash=0;
for(int i=0;i<is_done_action.size();i++){
if(is_done_action[i]==false) continue;
hash^=hashmap[i];
}
hash^=hashmap[100+now_place.id()];
return hash;
}
void apply(Action action){
int min_dist=MAX;
int nearest_shop=-1;
for(int i=0;i<is_bakuha_shop.size();i++){
if(is_bakuha_shop[i]) continue;
int dist=now_place.dist(place_shop[i])+place_shop[i].dist(place_action[action])*2;
if(chmin(min_dist,dist)){
nearest_shop=i;
}
}
score+=min_dist;
history_actions.emplace_back(action,nearest_shop);
is_done_action[action]=true;
//shopを爆破
for(int shop:bakuha_shop[action]){
is_bakuha_shop[shop]=true;
}
//移動
now_place=place_action[action];
if(history_actions.size()==is_done_action.size()){
score+=now_place.dist(center_shop);
}
}
vector<Action> find_next_actions(){
vector<int> candidate;
int size_action=is_done_action.size();
for(int i=0;i<size_action;i++){
if(is_done_action[i]) continue;
candidate.push_back(i);
}
sort(candidate.begin(),candidate.end(),
[&](int i,int j){
return now_place.dist(place_action[i])<now_place.dist(place_action[j]);
}
);
if(candidate.size()>4){
candidate.resize(4);
}
return candidate;
}
bool operator<(State &s){
return calc_score()<s.calc_score();
}
};
template<typename T1, typename T2,typename T3>
vector<Place> State<T1, T2,T3>::place_shop;
template<typename T1, typename T2,typename T3>
vector<Place> State<T1, T2,T3>::place_action;
template<typename T1, typename T2,typename T3>
vector<vector<int>> State<T1, T2,T3>::bakuha_shop;
template<class Action,class Score,class State,class Hash>
vector<pii> beam_search(State init_state,int width_beam,int max_depth){
vector<State> states={init_state};
vector<State> next_states;
for(int depth=0;depth<max_depth;depth++){
next_states.clear();
#ifdef ONLINE_JUDGE
if(TIME.span()>2850){
width_beam=1;
}
#endif
for(int i=0;i<min<int>(width_beam,states.size());i++){
vector<Action> next_actions=states[i].find_next_actions();
for(Action action:next_actions){
State state=states[i];
state.apply(action);
next_states.push_back(state);
}
}
sort(next_states.begin(),next_states.end());
states.clear();
unordered_set<u64> set;
for(int i=0;i<next_states.size() and states.size()<width_beam;i++){
auto &state=next_states[i];
u64 hash=state.calc_hash();
if(set.count(hash)){
continue;
}
set.insert(hash);
states.push_back(state);
}
}
sort(states.begin(),states.end());
cerr<<"score: "<<states[0].calc_score()<<endl;
return states[0].history_actions;
}
/*
店は最後に爆破する
*/
void solve(){
input();
//set coveringのインスタンスを作る
auto id_map=vmake(Height,Width,-1);
vector<Place> place_shops;
int num_hakai=0;
//一番コスパが高い爆弾の特定
int cheapest_bomb=-1;
double cheapest_cost=-1;
for(int i=0;i<num_bomb;i++){
if(chmax(cheapest_cost,bombs[i].ps.size()/bombs[i].cost)){
cheapest_bomb=i;
}
}
{
int min_center_dist=10000;
int id=0;
for(int h=0;h<Height;h++) for(int w=0;w<Width;w++){
if(map_input[h][w]=='.'){
Distance.set_cost(h,w,1);
}else{
Distance.set_cost(h,w,2);
}
if(map_input[h][w]=='@'){
if(chmin(min_center_dist,Place(25,25).dist(Place(h,w)))){
center_shop=Place(h,w);
}
place_shops.emplace_back(h,w);
}
if(map_input[h][w]!='#') continue;
}
for(int h=0;h<Height;h++) for(int w=0;w<Width;w++){
if(map_input[h][w]=='.') continue;
if(center_shop==Place(h,w)) continue;
bool ex=true;
for(auto dp:bombs[cheapest_bomb].ps){
auto np=center_shop;
np.move(dp);
if(np==Place(h,w)) ex=false;
}
if(ex){
id_map[h][w]=id++;
}
}
num_hakai=id;
}
using pPi=pair<Place,int>;
SetCovering<pPi,int,2500,50000> SC(num_hakai);
for(int ph=0;ph<Height;ph++){
for(int pw=0;pw<Width;pw++){
Place p(ph,pw);
auto nearest_shop=find_nearest(p,place_shops,true);
int dist=p.dist(nearest_shop);
for(int b=0;b<num_bomb;b++){
vector<int> ids;
bool ok=true;
for(auto dp:bombs[b].ps){
auto np=p;
np.move(dp);
if(np==center_shop){
ok=false;
}
if(np.out_grid() or id_map[np.h][np.w]==-1){
continue;
}
ids.push_back(id_map[np.h][np.w]);
}
if(not ok) continue;
SC.add_set(pPi(p,b),bombs[b].cost,ids);
}
}
}
SC.solve(2000,10,false);
using pPi=pair<Place,int>;
vector<pPi> names;
for(int id:SC.best_solution){
names.push_back(SC.sets[id].name);
}
Place place_now(0,0);
//ビームサーチ
// template<>
// vector<Place> State<int, int>::place_shop;
// template<>
// vector<Place> State<int, int>::place_action;
// template<>
// vector<int> State<int, int>::bakuha_shop;
using State=State<int,int,u64>;
State state(names.size(),place_shops.size());
state.place_shop=place_shops;
for(auto name:names){
state.place_action.push_back(name.first);
}
state.bakuha_shop.resize(names.size());
for(int a=0;a<names.size();a++){
for(int i=0;i<place_shops.size();i++){
auto shop=place_shops[i];
bool hakai=false;
for(auto dp:bombs[names[a].second].ps){
auto np=names[a].first;
np.move(dp);
if(shop==np) hakai=true;
}
if(hakai){
state.bakuha_shop[a].push_back(i);
}
}
}
auto actions_beam=beam_search<int,int,State,u64>(state,3000,names.size());
for(int i=0;i<actions_beam.size();i++){
//次のターゲット
pPi name_nearest=names[actions_beam[i].first];
//一番近くの店に行って必要な爆弾を買う
Place nearest_shop=state.place_shop[actions_beam[i].second];
output_move(place_now,nearest_shop);
ans.push_back("2 "+to_string(name_nearest.second+1));
//ターゲットのところに行って爆弾を落とす
output_move(place_now,name_nearest.first);
ans.push_back("3 "+to_string(name_nearest.second+1));
//ターゲットを消す
// for(int i=0;i<names.size();i++){
// if(name_nearest.first==names[i].first and name_nearest.second==names[i].second){
// names.erase(names.begin()+i);
// break;
// }
// }
vector<Place> next_place_shops;
for(auto shop:place_shops){
bool hakai=false;
for(auto dp:bombs[name_nearest.second].ps){
auto np=place_now;
np.move(dp);
if(shop==np) hakai=true;
}
if(not hakai) next_place_shops.push_back(shop);
}
for(auto dp:bombs[name_nearest.second].ps){
auto np=place_now;
np.move(dp);
if(np.out_grid()) continue;
if(Distance.cost_grid[np.h][np.w]==2){
Distance.set_cost(np.h,np.w,1);
}
}
place_shops=next_place_shops;
}
cerr<<-1<<endl;
while(place_shops.size()){
//一番近い店に行って一番安い爆弾を使う
Place nearest_shop=find_nearest(place_now,place_shops);
output_move(place_now,nearest_shop);
ans.push_back("2 "+to_string(cheapest_bomb+1));
ans.push_back("3 "+to_string(cheapest_bomb+1));
vector<Place> next_place_shops;
for(auto shop:place_shops){
bool hakai=false;
for(auto dp:bombs[cheapest_bomb].ps){
auto np=nearest_shop;
np.move(dp);
if(shop==np) hakai=true;
}
if(not hakai) next_place_shops.push_back(shop);
}
place_shops=next_place_shops;
}
cout<<ans.size()<<endl;
for(auto s:ans){
cout<<s<<"\n";
}
#ifndef ONLINE_JUDGE
testTimer.output();
testCounter.output();
cerr<<TIME.span()<<"ms"<<endl;
//cerr<<"score: "<<simulate(best_grid,true)<<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();
}