Submission #262845

# Submission time Handle Problem Language Result Execution time Memory
262845 2020-08-13T10:00:42 Z user202729 Robots (APIO13_robots) C++17
60 / 100
528 ms 163844 KB
// 2
#ifndef LOCAL
#define NDEBUG 1
#endif
#include<bits/stdc++.h>


int numRobot, numRow, numCol;
std::vector<std::vector<char>> data;
struct Pos{
	int row, col;
	int index() const{
		assert((unsigned) row<(unsigned) numRow); assert((unsigned) col<(unsigned) numCol);
		return col+numCol*row;
	}
};
struct State{
	int dir; // dir+1: clockwise
	int row, col;
	std::pair<int, int> dirVector() const{
		std::pair<int, int> result{1, 0};
		switch(dir){
			case 3: result={result.second,-result.first};
			case 2: result={result.second,-result.first};
			case 1: result={result.second,-result.first};
			case 0: return result;
		}
		assert(false);
	}

	int index() const{return dir+4*Pos{row, col}.index();}
};

int const loop=-2, uncomputed=-1;
std::vector<int> memory;

int compute(State it){
	auto& curMemory=memory[it.index()];
	if(curMemory!=uncomputed) return curMemory;

	State next=it;
	switch(data[next.row][next.col]){
		case 'A':
			next.dir=(next.dir-1)&3; break;
		case 'C':
			next.dir=(next.dir+1)&3; break;
		case 'x':
			assert(false); __builtin_unreachable();
	}
	next.row+=next.dirVector().first; next.col+=next.dirVector().second;

	if((unsigned)next.row>=(unsigned)numRow or (unsigned)next.col>=(unsigned)numCol or
			data[next.row][next.col]=='x')
		return curMemory=Pos{it.row, it.col}.index();

	curMemory=loop;
	return curMemory=compute(next);
}

int getMemory(int pos, int dir){
	int result=memory[dir+4*pos];
	assert(result!=uncomputed);
	return result;
}

int main(){
	std::ios::sync_with_stdio(0);std::cin.tie(0);
	std::cin>>numRobot>>numCol>>numRow;
	if(numRobot==1){std::cout<<"0\n"; return 0;}
	data.resize(numRow);
	for(auto& row: data){
		row.resize(numCol+1);
		std::cin>>row.data();
		assert(row.back()==0); row.pop_back();
		assert(row.back()!=0);
	}

	memory.assign(numRow*numCol*4, uncomputed);
	for(int row=0; row<numRow; ++row)
		for(int col=0; col<numCol; ++col)
			if(data[row][col]!='x')
				for(int dir=0; dir<4; ++dir){
					auto const result=compute({dir, row, col});
					(void) result;
					/*
					std::cerr<<row<<' '<<col<<' '<<dir<<'-'
						<<result/numCol<<' '<<result%numCol<<'\n';
						*/
				}

	int const numPos=numRow*numCol;
	std::vector<int> distance_(numPos*numRobot*numRobot, INT_MAX);
	auto const distance=[&](int a, int b, int pos)->int&{
		assert(0<=a); assert(a<=b); assert(b<numRobot);
		assert((unsigned)pos<unsigned(numPos));
		return distance_[a+numRobot*(b+numRobot*pos)];
	};

	std::vector<std::vector<int>> queue(numPos*numRobot*4);

	int result=INT_MAX;
	for(int a=numRobot; a--;){
		for(int b=a; b<numRobot; ++b){
			struct State{
				int pos, distance;
				bool operator<(State it) const{return distance>it.distance;}
			};

			int minDistance=INT_MAX, maxDistance=0;
			if(a==b){
				//for(int pos=0; pos<numPos; ++pos)
				for(int row=0; row<numRow; ++row)
					for(int col=0; col<numCol; ++col){
						assert(distance(a, a, Pos{row, col}.index())==INT_MAX);
						if(data[row][col]==char('1'+a)){
							auto const pos=Pos{row, col}.index();
							queue[distance(a, a, pos)=0].push_back(pos);
							minDistance=0;
						}
					}
			}else{
				for(int pos=0; pos<numPos; ++pos){
					unsigned t=INT_MAX;
					for(int m=a; m<b; ++m)
						t=std::min(t, (unsigned)distance(a, m, pos)+
								distance(m+1, b, pos));
					assert(distance(a, b, pos)==INT_MAX);
					if(t<INT_MAX){
						if(b==numRobot-1 and a==0)
							result=std::min(result, (int)t);
						else{
							queue[distance(a, b, pos)=t].push_back(pos);
							minDistance=std::min(minDistance, (int)t);
							maxDistance=std::max(maxDistance, (int)t);
						}
					}
				}
			}

			for(int curDistance=minDistance; curDistance<=maxDistance; ++curDistance){
				for(auto pos: queue[curDistance]){
					if(curDistance!=distance(a, b, pos)) continue;
					for(int dir=0; dir<4; ++dir){
						auto const next=getMemory(pos, dir);
						if(next!=loop and distance(a, b, next)>curDistance+1){
							queue[distance(a, b, next)=curDistance+1].push_back(next);
							maxDistance=std::max(maxDistance, curDistance+1);
						}
					}
				}
			}
		}
	}
	std::cout<<(result==INT_MAX ? -1: result)<<'\n';
}

Compilation message

robots.cpp: In member function 'std::pair<int, int> State::dirVector() const':
robots.cpp:29:2: warning: control reaches end of non-void function [-Wreturn-type]
   29 |  }
      |  ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 269 ms 109560 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 93 ms 78360 KB Output is correct
14 Correct 528 ms 123384 KB Output is correct
15 Correct 242 ms 107000 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 269 ms 109560 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 93 ms 78360 KB Output is correct
14 Correct 528 ms 123384 KB Output is correct
15 Correct 242 ms 107000 KB Output is correct
16 Runtime error 147 ms 163844 KB Execution killed with signal 9 (could be triggered by violating memory limits)
17 Halted 0 ms 0 KB -