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Submission #758377

# Submission time Handle Problem Language Result Execution time Memory
758377 2023-06-14T14:23:00 Z jer033 Towers (NOI22_towers) C++17
29 / 100
 664 ms 29720 KB 
#include <algorithm>
#include <iostream>

long long trios[1000005];
long long xis[1000005];
long long yis[1000005];
int subt4[1000005];
char answer[1000005];
char potentialans[20];
char happy[20];
int ac[20];

using namespace std;
long long const mult = 1000007;//10^6 + 7

long long inde(long long a, long long b, long long x, long long y)
{
	b=0;
	return (x-1)*a+y+b-1;//yeah b isn't really needed after all
}

int main()
{
	int n;
	cin >> n;
	if (n==3)
	{
		int a, b, c, d, e, f;
		cin >> a >> d >> b >> e >> c >> f;
		if (a==b and b==c)
		{
			if (d>e and e>f)
			{
				cout << "101";
			}
			else if (d<e and e<f)
			{
				cout << "101";
			}
			else if (e>d and d>f)
			{
				cout << "011";
			}
			else if (e<d and d<f)
			{
				cout << "011";
			}
			else if (d>f and f>e)
			{
				cout << "110";
			}
			else if (d<f and f<e)
			{
				cout << "110";
			}
		}
		else if (d==e and e==f)
		{
			if (a>b and b>c)
			{
				cout << "101";
			}
			else if (a<b and b<c)
			{
				cout << "101";
			}
			else if (b>a and a>c)
			{
				cout << "011";
			}
			else if (b<a and a<c)
			{
				cout << "011";
			}
			else if (a>c and c>b)
			{
				cout << "110";
			}
			else if (a<c and c<b)
			{
				cout << "110";
			}
		}
		else
		{
			cout << "111";
		}
		cout << '\n';
	}
	else if (n<=2)
	{
		if (n==2)
		{
			cout << "1";
		}
		cout << "1\n";
	}
	else if (n<=16)
	{
		//consider each possibility: tower on tower off
		//check ff: at most 2 towers per column/row, all towers are good
		for (int i=0; i<n; i++)
		{
			cin >> xis[i] >> yis[i];
		}
		for (int i=0; i<(1<<n); i++)
		{
			int k=i;
			ac[n]=1;
			for (int j=0; j<n; j++)
			{
				if (k>=(1<<(n-1-j)))
				{
					k-=(1<<(n-1-j));
					potentialans[j]='1';
					ac[j]=1;
				}
				else
				{
					potentialans[j]='0';
					ac[j]=0;
				}
			}
			for (int j=0; j<n; j++)
			{
				for (int k=j+1; k<n; k++)
				{
					for (int l=k+1; l<n; l++)
					{
						if (xis[j]==xis[k] and xis[k]==xis[l])
						{
							if (potentialans[j]=='1' and potentialans[k]=='1' and potentialans[l]=='1')
								ac[n]=0;
							if (yis[j]>yis[k] and yis[j]<yis[l] and potentialans[k]=='1' and potentialans[l]=='1')
							{
								ac[j]=1;
							}
							if (yis[j]>yis[l] and yis[j]<yis[k] and potentialans[k]=='1' and potentialans[l]=='1')
							{
								ac[j]=1;
							}
							if (yis[k]>yis[j] and yis[k]<yis[l] and potentialans[j]=='1' and potentialans[l]=='1')
							{
								ac[k]=1;
							}
							if (yis[k]>yis[l] and yis[k]<yis[j] and potentialans[j]=='1' and potentialans[l]=='1')
							{
								ac[k]=1;
							}
							if (yis[l]>yis[j] and yis[l]<yis[k] and potentialans[k]=='1' and potentialans[j]=='1')
							{
								ac[l]=1;
							}
							if (yis[l]>yis[k] and yis[l]<yis[j] and potentialans[k]=='1' and potentialans[j]=='1')
							{
								ac[l]=1;
							}
						}
						else if (yis[j]==yis[k] and yis[k]==yis[l])
						{
							if (potentialans[j]=='1' and potentialans[k]=='1' and potentialans[l]=='1')
								ac[n]=0;
							if (xis[j]>xis[k] and xis[j]<xis[l] and potentialans[k]=='1' and potentialans[l]=='1')
							{
								ac[j]=1;
							}
							if (xis[j]>xis[l] and xis[j]<xis[k] and potentialans[k]=='1' and potentialans[l]=='1')
							{
								ac[j]=1;
							}
							if (xis[k]>xis[j] and xis[k]<xis[l] and potentialans[j]=='1' and potentialans[l]=='1')
							{
								ac[k]=1;
							}
							if (xis[k]>xis[l] and xis[k]<xis[j] and potentialans[j]=='1' and potentialans[l]=='1')
							{
								ac[k]=1;
							}
							if (xis[l]>xis[j] and xis[l]<xis[k] and potentialans[k]=='1' and potentialans[j]=='1')
							{
								ac[l]=1;
							}
							if (xis[l]>xis[k] and xis[l]<xis[j] and potentialans[k]=='1' and potentialans[j]=='1')
							{
								ac[l]=1;
							}
						}
					}
				}
			}
			int totall=0;
			for (int j=0; j<=n; j++)
			{
				totall=totall+ac[j];
			}
			if (totall==n+1)
			{
				cout << potentialans << '\n';
				for (int i=0; i<n; i++)
					happy[i]=potentialans[i];
			}
		}
		//cout << happy << '\n';
	}
	else
	{
		int four=1;
		long long b=0;
		long long a=0;
		for (int i=0; i<n; i++)
		{
			cin >> xis[i] >> yis[i];
			b=max(b, xis[i]);
			a=max(a, yis[i]);
			trios[i]=mult*mult*yis[i]+mult*xis[i]+i;
			subt4[xis[i]]++;
			if (subt4[xis[i]]>=3)
				four=0;
		}
		if (four)
		{
			for (int i=0; i<n; i++)
			{
				answer[i]='1';
			}
			sort(trios, trios+n);
			int sindex=0;
			int eindex=0;
			while (sindex<n)
			{
				while (trios[eindex]/(mult*mult) == trios[eindex+1]/(mult*mult))
				{
					eindex++;
				}
				for (int i=sindex+1; i<eindex; i++)
				{
					answer[trios[i]%mult] = '0';
				}
				sindex=eindex+1;
				eindex=sindex+1-1;
			}
			cout << answer << '\n';
		}
		else
		{
			//assume this is subtask 3, then we already have our values of b and a
			for (int i=0; i<n; i++)
			{
				answer[i]='0';
			}
			if (a==b)
			{
				for (int i=1; i<=a; i++)
				{
					answer[inde(a, b, i, i)]='1';
					answer[inde(a, b, i, a+1-i)]='1';
				}
			}
			else if (a>b)
			{
				for (long long i=1; i<=b; i++)
				{
					answer[inde(a, b, i, min(i, b+1-i))]='1';
					answer[inde(a, b, i, a+1-min(i, b+1-i))]='1';
				}
			}
			else
			{
				for (long long i=1; i<=a; i++)
				{
					answer[inde(a, b, min(i, a+1-i), i)]='1';
					answer[inde(a, b, b+1-min(i, a+1-i), i)]='1';
				}
			}
			cout << answer << '\n';
		}
	}
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 284 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 284 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 81 ms 304 KB Output is correct
12 Correct 89 ms 212 KB Output is correct
13 Correct 75 ms 300 KB Output is correct
14 Correct 78 ms 212 KB Output is correct
15 Correct 79 ms 304 KB Output is correct
16 Correct 84 ms 212 KB Output is correct
17 Correct 98 ms 308 KB Output is correct
18 Correct 87 ms 300 KB Output is correct
19 Correct 94 ms 300 KB Output is correct
20 Correct 92 ms 304 KB Output is correct
21 Correct 93 ms 300 KB Output is correct
22 Correct 97 ms 300 KB Output is correct
23 Correct 97 ms 300 KB Output is correct
24 Correct 85 ms 300 KB Output is correct
25 Correct 86 ms 296 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 2560 KB Output is correct
2 Correct 46 ms 3156 KB Output is correct
3 Correct 129 ms 8976 KB Output is correct
4 Correct 264 ms 17328 KB Output is correct
5 Correct 45 ms 3324 KB Output is correct
6 Correct 8 ms 852 KB Output is correct
7 Correct 241 ms 16280 KB Output is correct
8 Correct 156 ms 10956 KB Output is correct
9 Correct 408 ms 24056 KB Output is correct
10 Correct 337 ms 20444 KB Output is correct
11 Correct 370 ms 25720 KB Output is correct
12 Correct 376 ms 25672 KB Output is correct

Subtask #4
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 608 ms 29720 KB Output is correct
2 Correct 646 ms 29572 KB Output is correct
3 Correct 639 ms 29548 KB Output is correct
4 Correct 618 ms 29552 KB Output is correct
5 Correct 621 ms 29608 KB Output is correct
6 Correct 635 ms 29644 KB Output is correct
7 Correct 664 ms 29544 KB Output is correct
8 Correct 625 ms 29720 KB Output is correct
9 Correct 647 ms 29588 KB Output is correct
10 Correct 624 ms 29576 KB Output is correct

Subtask #5
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 284 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 81 ms 304 KB Output is correct
12 Correct 89 ms 212 KB Output is correct
13 Correct 75 ms 300 KB Output is correct
14 Correct 78 ms 212 KB Output is correct
15 Correct 79 ms 304 KB Output is correct
16 Correct 84 ms 212 KB Output is correct
17 Correct 98 ms 308 KB Output is correct
18 Correct 87 ms 300 KB Output is correct
19 Correct 94 ms 300 KB Output is correct
20 Correct 92 ms 304 KB Output is correct
21 Correct 93 ms 300 KB Output is correct
22 Correct 97 ms 300 KB Output is correct
23 Correct 97 ms 300 KB Output is correct
24 Correct 85 ms 300 KB Output is correct
25 Correct 86 ms 296 KB Output is correct
26 Correct 5 ms 4268 KB Output is correct
27 Correct 6 ms 4232 KB Output is correct
28 Runtime error 10 ms 5844 KB Execution killed with signal 11
29 Halted 0 ms 0 KB -

Subtask #6
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 284 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 81 ms 304 KB Output is correct
12 Correct 89 ms 212 KB Output is correct
13 Correct 75 ms 300 KB Output is correct
14 Correct 78 ms 212 KB Output is correct
15 Correct 79 ms 304 KB Output is correct
16 Correct 84 ms 212 KB Output is correct
17 Correct 98 ms 308 KB Output is correct
18 Correct 87 ms 300 KB Output is correct
19 Correct 94 ms 300 KB Output is correct
20 Correct 92 ms 304 KB Output is correct
21 Correct 93 ms 300 KB Output is correct
22 Correct 97 ms 300 KB Output is correct
23 Correct 97 ms 300 KB Output is correct
24 Correct 85 ms 300 KB Output is correct
25 Correct 86 ms 296 KB Output is correct
26 Correct 5 ms 4268 KB Output is correct
27 Correct 6 ms 4232 KB Output is correct
28 Runtime error 10 ms 5844 KB Execution killed with signal 11
29 Halted 0 ms 0 KB -

Subtask #7
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 284 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 81 ms 304 KB Output is correct
12 Correct 89 ms 212 KB Output is correct
13 Correct 75 ms 300 KB Output is correct
14 Correct 78 ms 212 KB Output is correct
15 Correct 79 ms 304 KB Output is correct
16 Correct 84 ms 212 KB Output is correct
17 Correct 98 ms 308 KB Output is correct
18 Correct 87 ms 300 KB Output is correct
19 Correct 94 ms 300 KB Output is correct
20 Correct 92 ms 304 KB Output is correct
21 Correct 93 ms 300 KB Output is correct
22 Correct 97 ms 300 KB Output is correct
23 Correct 97 ms 300 KB Output is correct
24 Correct 85 ms 300 KB Output is correct
25 Correct 86 ms 296 KB Output is correct
26 Correct 34 ms 2560 KB Output is correct
27 Correct 46 ms 3156 KB Output is correct
28 Correct 129 ms 8976 KB Output is correct
29 Correct 264 ms 17328 KB Output is correct
30 Correct 45 ms 3324 KB Output is correct
31 Correct 8 ms 852 KB Output is correct
32 Correct 241 ms 16280 KB Output is correct
33 Correct 156 ms 10956 KB Output is correct
34 Correct 408 ms 24056 KB Output is correct
35 Correct 337 ms 20444 KB Output is correct
36 Correct 370 ms 25720 KB Output is correct
37 Correct 376 ms 25672 KB Output is correct
38 Correct 608 ms 29720 KB Output is correct
39 Correct 646 ms 29572 KB Output is correct
40 Correct 639 ms 29548 KB Output is correct
41 Correct 618 ms 29552 KB Output is correct
42 Correct 621 ms 29608 KB Output is correct
43 Correct 635 ms 29644 KB Output is correct
44 Correct 664 ms 29544 KB Output is correct
45 Correct 625 ms 29720 KB Output is correct
46 Correct 647 ms 29588 KB Output is correct
47 Correct 624 ms 29576 KB Output is correct
48 Correct 5 ms 4268 KB Output is correct
49 Correct 6 ms 4232 KB Output is correct
50 Runtime error 10 ms 5844 KB Execution killed with signal 11
51 Halted 0 ms 0 KB -