Submission #974939

# Submission time Handle Problem Language Result Execution time Memory
974939 2024-05-04T07:32:56 Z oolimry Mars (APIO22_mars) C++17
14 / 100
22 ms 4312 KB
#include <bits/stdc++.h>
using namespace std;
#define sz(x) (int) (x).size()
#define all(x) (x).begin(), (x).end()
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x,y) cerr << #x << " is " << x << " " << #y << " is " << y << endl;
#define show3(x,y,z) cerr << #x << " is " << x << " " << #y << " is " << y << " " << #z << " is " << z << endl;
#define showlist(x) cerr << #x << " is "; for(auto p : x) cerr << p << " "; cerr << endl;
typedef pair<int,int> ii;
 
/// attempt 3 store number of connected components?
/// push the values up to the LHS 3x3 square and then process the border information

int grid[45][45];
int ccNumber[45][45];
map<ii, vector<ii> > adj;
int CNTBUFFER = 10; ///bits used just to store the size
int ccCounter = 0;
void resetgrid(){
	ccCounter = 1;
	adj.clear();
	for(int i = 0;i < 45;i++) for(int j = 0;j < 45;j++) grid[i][j] = 0;
	for(int i = 0;i < 45;i++) for(int j = 0;j < 45;j++) ccNumber[i][j] = 0;
}

void dfs(int i, int j){
	if(i < 0 or j < 0) return;
	if(grid[i][j] == 0) return;
	
	grid[i][j] = 0;
	ccNumber[i][j] = ccCounter;
	
	for(ii cell : adj[ii(i,j)]) dfs(cell.first,cell.second);
	dfs(i+1,j);
	dfs(i-1,j);
	dfs(i,j+1);
	dfs(i,j-1);
} 

///return the layer, and the position in that layer
ii layer(int i, int j){
	int L = max(i,j);
	int pos = abs(i - L) + abs(j - 0);
	return {L,pos};
}

vector<ii> cellsOnLayer(int L){
	vector<ii> cells;
	for(int j = 0;j <= L;j++) cells.push_back({L,j});
	for(int i = L-1;i >= 0;i--) cells.push_back({i,L});
	return cells;
}

string writeNumber(int cnt){
	string res = string(100 ,'0');
	for(int p = 0;p < 100;p++){
		if(cnt % 2 == 1) res[p] = '1';
		cnt /= 2;
	}
	return res;
}

void orTo(string &a, string b){
	for(int p = 0;p < 100;p++){
		if(b[p] == '1') a[p] = '1';
	}
}

struct cornerInfo{
	int internalComponents = 0;
	vector<int> border;
};

string cornerInfoToString(cornerInfo C){
	string res = writeNumber(C.internalComponents);
	
	int b = CNTBUFFER;
	for(int x : C.border){
		//if(b >= 100) exit(0);
		if(x == 0) b++; ///write 0 there
		else{
			res[b] = '1'; b++; ///write 1 to mark it as 1
			
			for(int bit = 0;bit < 4;bit++){
				if(x % 2 == 1) res[b] = '1';
				x /= 2;
				b++;
			}
			
			//if(b >= 100) exit(0);
		}
	}
	
	return res;
}

cornerInfo stringToCornerInfo(string s, int szOfBorder){
	cornerInfo C;
	
	for(int b = 9;b >= 0;b--){
		C.internalComponents *= 2;
		if(s[b] == '1') C.internalComponents++;
	}
	
	int b = CNTBUFFER;
	while(sz(C.border) < szOfBorder){
		//if(b >= 100) exit(0);
		if(s[b] == '0'){
			C.border.push_back(0);
			b++;
		}
		else{
			b++;
			int cc = 0;
			//if(b >= 100) exit(0);
			for(int bit = 0;bit < 4;bit++){
				if(s[b] == '1') cc += (1<<bit);
				b++;
			}
			
			C.border.push_back(cc);
		}
	}
	
	return C;
}


 
string process(vector <vector<string>> a, int I, int J, int K, int n){
	string res = string(100,'0');
	
	/* testing cornerInfo conversion
	cornerInfo C; C.internalComponents = 4; C.border = {1,0,3,0,4};
	string S = cornerInfoToString(C); show(S);
	C = stringToCornerInfo(S, 5); show(C.internalComponents); showlist(C.border);
	return res;
	*/
	
	//cerr << I << " " << J << " " << K << endl;
	
	if(K == 0){ ///first run
		for(int i = 0;i <= 2;i++){
			for(int j = 0;j <= 2;j++){
				if(a[i][j][0] == '1'){
					a[i][j] = string(100, '0');
					ii info = layer(I+i, j+J);
					
					a[i][j][info.second] = '1';
				}
				else a[i][j] = string(100, '0');
			}
		}
		
		if(I == 0 and J == 0){		
			cornerInfo C; C.internalComponents = 0;
			if(a[0][0][0] == '1') C.border = {1};
			else C.border = {0};
			
			a[0][0] = cornerInfoToString(C);
		}
	}
	
	if(I == 0 and J == 0){ /// do the terrible graph thing
		resetgrid();
		
		int layer0 = K*2;
		int layer1 = layer0 + 1;
		int layer2 = layer1 + 1;
		
		auto layer0cells = cellsOnLayer(layer0);
		auto layer1cells = cellsOnLayer(layer1);
		auto layer2cells = cellsOnLayer(layer2);
		
		cornerInfo C = stringToCornerInfo(a[0][0], sz(layer0cells));
		
		
		string layer1String = string(100, '0');
		string layer2String = string(100, '0');
		
		for(int i = 0;i <= 2;i++){
			for(int j = 0;j <= 2;j++){
				if(i == 0 and j == 0) continue;
				
				if(i == 2 or j == 2) orTo(layer2String, a[i][j]);
				else orTo(layer1String, a[i][j]);
			}
		}
		
		map<int, ii> prevSameComponent;
		for(int a = 0;a < sz(layer0cells);a++){
			ii cell = layer0cells[a];
			int cc = C.border[a];
			if(cc != 0) grid[cell.first][cell.second] = 1;
			
			if(cc != 0 and prevSameComponent.find(cc) != prevSameComponent.end()){
				ii cell2 = prevSameComponent[cc];
				adj[cell].push_back(cell2);
				adj[cell2].push_back(cell);
				
				//show2(cell.first, cell.second);
				//show2(cell2.first, cell2.second);
			}
			prevSameComponent[cc] = cell;
		}
		
		for(int a = 0;a < sz(layer1cells);a++){
			ii cell = layer1cells[a];
			if(layer1String[a] == '1') grid[cell.first][cell.second] = 1;
			else grid[cell.first][cell.second] = 0;
		}
		for(int a = 0;a < sz(layer2cells);a++){
			ii cell = layer2cells[a];
			if(layer2String[a] == '1') grid[cell.first][cell.second] = 1;
			else grid[cell.first][cell.second] = 0;
		}
		
		for(int i = 0;i <= 2*n;i++){
			for(int j = 0;j <= 2*n;j++){
				//cerr << grid[i][j] << " ";
			}
			//cerr << endl;
		}
		
		for(int i = 0;i <= 2*n;i++) for(int j = 0;j <= 2*n;j++){
			if(grid[i][j] != 0){
				dfs(i,j);
				ccCounter++;
			}
		}
		
		set<int> borderComponents;
		for(ii cell : layer2cells){
			int cc = ccNumber[cell.first][cell.second];
			if(cc != 0) borderComponents.insert(cc);
		}
		
		C.internalComponents += ccCounter - sz(borderComponents) - 1;
		
		/* bad
		for(int i = 0;i <= 2*n;i++) for(int j = 0;j <= 2*n;j++){
			int cc = ccNumber[i][j];
			if(cc != 0 and borderComponents.find(cc) == borderComponents.end()){
				C.internalComponents++;
			}
		}
		*/
		
		map<int,int> disc;
		int discCnt = 1;
		for(int x : borderComponents) disc[x] = discCnt++;
		
		C.border.clear();
		for(ii cell : layer2cells){
			int cc = ccNumber[cell.first][cell.second];
			if(cc == 0) C.border.push_back(0);
			else C.border.push_back(disc[cc]);
		}
		
		//
		
		//show(C.internalComponents);
		showlist(C.border);
		
		//if(sz(C.border) != K*4+5) exit(0);
		
		if(K == n-1){ ///final run
			int ans = C.internalComponents + sz(borderComponents);
			res = writeNumber(ans);
		}	
		else{
			///finally write the cell info
			res = cornerInfoToString(C);
		}
	}
	else{
		for(int i = 0;i <= 2;i++){
			for(int j = 0;j <= 2;j++){
				if(layer(I,J).first == layer(i+I,j+J).first - 2) orTo(res, a[i][j]);
			}
		}
	}
	
	
	
	// cerr << res << endl;
	
	
	return res;
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
14 Correct 22 ms 4288 KB Output is correct
15 Incorrect 4 ms 480 KB Incorrect
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
14 Correct 22 ms 4288 KB Output is correct
15 Incorrect 4 ms 480 KB Incorrect
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
14 Correct 22 ms 4288 KB Output is correct
15 Incorrect 4 ms 480 KB Incorrect
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
14 Correct 22 ms 4288 KB Output is correct
15 Incorrect 4 ms 480 KB Incorrect
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
14 Correct 22 ms 4288 KB Output is correct
15 Incorrect 4 ms 480 KB Incorrect
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
14 Correct 22 ms 4288 KB Output is correct
15 Incorrect 4 ms 480 KB Incorrect
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
14 Correct 22 ms 4288 KB Output is correct
15 Incorrect 4 ms 480 KB Incorrect
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 3888 KB Output is correct
2 Correct 7 ms 4312 KB Output is correct
3 Correct 6 ms 4032 KB Output is correct
4 Correct 7 ms 3800 KB Output is correct
5 Correct 6 ms 4048 KB Output is correct
6 Correct 8 ms 3804 KB Output is correct
7 Correct 8 ms 4072 KB Output is correct
8 Correct 13 ms 3796 KB Output is correct
9 Correct 10 ms 4240 KB Output is correct
10 Correct 11 ms 3604 KB Output is correct
11 Correct 11 ms 4180 KB Output is correct
12 Correct 12 ms 3976 KB Output is correct
13 Correct 10 ms 4144 KB Output is correct
14 Correct 22 ms 4288 KB Output is correct
15 Incorrect 4 ms 480 KB Incorrect
16 Halted 0 ms 0 KB -