Submission #974963

# Submission time Handle Problem Language Result Execution time Memory
974963 2024-05-04T08:04:19 Z oolimry Mars (APIO22_mars) C++17
14 / 100
32 ms 4636 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 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(b >= 100) exit(0);
			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(b >= 100) exit(0);
			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;
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
14 Correct 20 ms 4364 KB Output is correct
15 Correct 27 ms 3936 KB Output is correct
16 Correct 32 ms 4636 KB Output is correct
17 Correct 27 ms 4220 KB Output is correct
18 Incorrect 4 ms 476 KB Incorrect
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
14 Correct 20 ms 4364 KB Output is correct
15 Correct 27 ms 3936 KB Output is correct
16 Correct 32 ms 4636 KB Output is correct
17 Correct 27 ms 4220 KB Output is correct
18 Incorrect 4 ms 476 KB Incorrect
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
14 Correct 20 ms 4364 KB Output is correct
15 Correct 27 ms 3936 KB Output is correct
16 Correct 32 ms 4636 KB Output is correct
17 Correct 27 ms 4220 KB Output is correct
18 Incorrect 4 ms 476 KB Incorrect
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
14 Correct 20 ms 4364 KB Output is correct
15 Correct 27 ms 3936 KB Output is correct
16 Correct 32 ms 4636 KB Output is correct
17 Correct 27 ms 4220 KB Output is correct
18 Incorrect 4 ms 476 KB Incorrect
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
14 Correct 20 ms 4364 KB Output is correct
15 Correct 27 ms 3936 KB Output is correct
16 Correct 32 ms 4636 KB Output is correct
17 Correct 27 ms 4220 KB Output is correct
18 Incorrect 4 ms 476 KB Incorrect
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
14 Correct 20 ms 4364 KB Output is correct
15 Correct 27 ms 3936 KB Output is correct
16 Correct 32 ms 4636 KB Output is correct
17 Correct 27 ms 4220 KB Output is correct
18 Incorrect 4 ms 476 KB Incorrect
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
14 Correct 20 ms 4364 KB Output is correct
15 Correct 27 ms 3936 KB Output is correct
16 Correct 32 ms 4636 KB Output is correct
17 Correct 27 ms 4220 KB Output is correct
18 Incorrect 4 ms 476 KB Incorrect
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 7 ms 3720 KB Output is correct
3 Correct 7 ms 3868 KB Output is correct
4 Correct 7 ms 3888 KB Output is correct
5 Correct 3 ms 3984 KB Output is correct
6 Correct 7 ms 3768 KB Output is correct
7 Correct 8 ms 4036 KB Output is correct
8 Correct 12 ms 3840 KB Output is correct
9 Correct 9 ms 3804 KB Output is correct
10 Correct 13 ms 4000 KB Output is correct
11 Correct 10 ms 3832 KB Output is correct
12 Correct 10 ms 4000 KB Output is correct
13 Correct 10 ms 3852 KB Output is correct
14 Correct 20 ms 4364 KB Output is correct
15 Correct 27 ms 3936 KB Output is correct
16 Correct 32 ms 4636 KB Output is correct
17 Correct 27 ms 4220 KB Output is correct
18 Incorrect 4 ms 476 KB Incorrect
19 Halted 0 ms 0 KB -