Submission #974961

# Submission time Handle Problem Language Result Execution time Memory
974961 2024-05-04T07:59:04 Z oolimry Mars (APIO22_mars) C++17
21 / 100
31 ms 4628 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 = 4;
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;
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
14 Correct 20 ms 4628 KB Output is correct
15 Correct 26 ms 4596 KB Output is correct
16 Correct 27 ms 4600 KB Output is correct
17 Correct 31 ms 4196 KB Output is correct
18 Correct 31 ms 3928 KB Output is correct
19 Correct 28 ms 4448 KB Output is correct
20 Correct 30 ms 4580 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
14 Correct 20 ms 4628 KB Output is correct
15 Correct 26 ms 4596 KB Output is correct
16 Correct 27 ms 4600 KB Output is correct
17 Correct 31 ms 4196 KB Output is correct
18 Correct 31 ms 3928 KB Output is correct
19 Correct 28 ms 4448 KB Output is correct
20 Correct 30 ms 4580 KB Output is correct
21 Runtime error 6 ms 488 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
14 Correct 20 ms 4628 KB Output is correct
15 Correct 26 ms 4596 KB Output is correct
16 Correct 27 ms 4600 KB Output is correct
17 Correct 31 ms 4196 KB Output is correct
18 Correct 31 ms 3928 KB Output is correct
19 Correct 28 ms 4448 KB Output is correct
20 Correct 30 ms 4580 KB Output is correct
21 Runtime error 6 ms 488 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
14 Correct 20 ms 4628 KB Output is correct
15 Correct 26 ms 4596 KB Output is correct
16 Correct 27 ms 4600 KB Output is correct
17 Correct 31 ms 4196 KB Output is correct
18 Correct 31 ms 3928 KB Output is correct
19 Correct 28 ms 4448 KB Output is correct
20 Correct 30 ms 4580 KB Output is correct
21 Runtime error 6 ms 488 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
14 Correct 20 ms 4628 KB Output is correct
15 Correct 26 ms 4596 KB Output is correct
16 Correct 27 ms 4600 KB Output is correct
17 Correct 31 ms 4196 KB Output is correct
18 Correct 31 ms 3928 KB Output is correct
19 Correct 28 ms 4448 KB Output is correct
20 Correct 30 ms 4580 KB Output is correct
21 Runtime error 6 ms 488 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
14 Correct 20 ms 4628 KB Output is correct
15 Correct 26 ms 4596 KB Output is correct
16 Correct 27 ms 4600 KB Output is correct
17 Correct 31 ms 4196 KB Output is correct
18 Correct 31 ms 3928 KB Output is correct
19 Correct 28 ms 4448 KB Output is correct
20 Correct 30 ms 4580 KB Output is correct
21 Runtime error 6 ms 488 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
14 Correct 20 ms 4628 KB Output is correct
15 Correct 26 ms 4596 KB Output is correct
16 Correct 27 ms 4600 KB Output is correct
17 Correct 31 ms 4196 KB Output is correct
18 Correct 31 ms 3928 KB Output is correct
19 Correct 28 ms 4448 KB Output is correct
20 Correct 30 ms 4580 KB Output is correct
21 Runtime error 6 ms 488 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3736 KB Output is correct
2 Correct 8 ms 3776 KB Output is correct
3 Correct 7 ms 4288 KB Output is correct
4 Correct 8 ms 3712 KB Output is correct
5 Correct 8 ms 3948 KB Output is correct
6 Correct 8 ms 4348 KB Output is correct
7 Correct 10 ms 4216 KB Output is correct
8 Correct 14 ms 3924 KB Output is correct
9 Correct 12 ms 3936 KB Output is correct
10 Correct 12 ms 4004 KB Output is correct
11 Correct 10 ms 4144 KB Output is correct
12 Correct 12 ms 4128 KB Output is correct
13 Correct 11 ms 3732 KB Output is correct
14 Correct 20 ms 4628 KB Output is correct
15 Correct 26 ms 4596 KB Output is correct
16 Correct 27 ms 4600 KB Output is correct
17 Correct 31 ms 4196 KB Output is correct
18 Correct 31 ms 3928 KB Output is correct
19 Correct 28 ms 4448 KB Output is correct
20 Correct 30 ms 4580 KB Output is correct
21 Runtime error 6 ms 488 KB Execution killed with signal 6
22 Halted 0 ms 0 KB -