Submission #974960

#	Time	Username	Problem	Language	Result	Execution time	Memory
974960		oolimry	Mars (APIO22_mars)	C++17	14 / 100	29 ms	4532 KiB

mars

#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 BITS = 3;
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){
		for(int bit = 0;bit < BITS;bit++){
			if(x % 2 == 1) res[b] = '1';
			x /= 2;
			b++;
		}
	}
	
	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){
		int cc = 0;
		for(int bit = 0;bit < BITS;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(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;
}

• Subtask 1: 6 / 6
• Subtask 2: 8 / 8
• Subtask 3: 0 / 7
• Subtask 4: 0 / 8
• Subtask 5: 0 / 7
• Subtask 6: 0 / 8
• Subtask 7: 0 / 10
• Subtask 8: 0 / 24
• Subtask 9: 0 / 11
• Subtask 10: 0 / 11