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Submission #576489

# Submission time Handle Problem Language Result Execution time Memory
576489 2022-06-13T06:39:09 Z amunduzbaev L-triominoes (CEOI21_ltriominoes) C++17
10 / 100
 1267 ms 8308 KB 
#include "bits/stdc++.h"
using namespace std;
 
#define ar array
 
const int N = 15;
const int M = 1005;
int dp[2][N][1 << N];
int is[N][M];
 
signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n, m, k; cin>>n>>m>>k;
	if(!k){
		if(n > m) swap(n, m);
		if(n * m % 6 == 0) cout<<"YES\n"; 
		else if(n * m % 3 == 0 && n >= 5) cout<<"YES\n";
		else cout<<"NO\n";
		return 0;
	}
	vector<int> x(k), y(k);
	for(int i=0;i<n;i++){
		for(int j=0;j<m;j++){
			is[i][j] = 1;
		}
	} 
	for(int i=0;i<k;i++){
		cin>>x[i]>>y[i]; x[i]--, y[i]--;
		is[x[i]][y[i]] = 0;
	}
	
	int ch[4][2] = {
		{0, 0},
		{-1, 0},
		{-1, 1},
		{0, 1}
	};
	int P[4] = {1, 0, -1, 0}, mas[4] = {14, 13, 11, 7};
	int mask = (!is[0][1]);
	for(int i=0;i<n;i++){
		if(!is[i][0]) mask |= (1 << (i + 1));
	}
	
	dp[0][1][mask] = 1;
	for(int i=0;i+1<m;i++){
		int c = i&1;
		memset(dp[!c], 0, sizeof dp[!c]);
		for(int j=1;j<n;j++){
			for(int mask=0;mask < (1 << (n + 1));mask++){
				if(!dp[c][j][mask]) continue;
				int us = 0;
				for(int t=0;t<4;t++){
					us |= (is[j + ch[t][0]][i + ch[t][1]] & (t < 3 ? !(mask >> (j + P[t]) & 1) : 1)) << t;
				}
				
				for(int t=0;t<4;t++){
					if((us & mas[t]) != mas[t]) continue;
					int m2 = mask;
					for(int l=0;l<4;l++){
						if(mas[t] >> l & 1){
							//~ assert(!(m2 >> (j + P[l]) & 1));
							m2 |= (1 << (j + P[l]));
						}
					}
					if(t == 1 && !(mask >> j & 1)) continue;
					if(t == 3){
						m2 ^= (1 << j);
						m2 |= (!is[j][i + 1]) << j;
					}
					
					if(j + 1 < n){
						dp[c][j + 1][m2] = 1;
					} else if(m2 >> n & 1) {
						m2 ^= (1 << n);
						m2 = m2 << 1 | (!is[0][i + 2]);
						dp[!c][1][m2] = 1;
					}
				}
				
				if(mask >> j & 1){
					int m2 = mask;
					if(j + 1 < n){
						m2 ^= (1 << j);
						m2 |= (!is[j][i+1]) << j;
						dp[c][j + 1][m2] = 1;
					} else if(m2 >> n & 1) {
						m2 ^= (1 << j) ^ (1 << n);
						m2 |= (!is[j][i+1]) << j;
						m2 = m2 << 1 | (!is[0][i + 2]);
						dp[!c][1][m2] = 1;
					}
				}
			}
		}
	}
	
	if(dp[(m-1)&1][1][(1 << (n + 1)) - 1]) cout<<"YES\n";
	else cout<<"NO\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 4052 KB Output is correct
2 Correct 31 ms 4052 KB Output is correct
3 Correct 31 ms 4172 KB Output is correct
4 Correct 36 ms 4052 KB Output is correct
5 Correct 37 ms 4052 KB Output is correct
6 Correct 49 ms 4180 KB Output is correct
7 Correct 4 ms 4180 KB Output is correct
8 Correct 85 ms 4180 KB Output is correct
9 Correct 9 ms 4180 KB Output is correct
10 Correct 12 ms 4204 KB Output is correct
11 Correct 171 ms 4208 KB Output is correct
12 Correct 15 ms 4180 KB Output is correct
13 Correct 3 ms 4180 KB Output is correct
14 Correct 3 ms 4180 KB Output is correct
15 Correct 7 ms 4200 KB Output is correct
16 Correct 1216 ms 4204 KB Output is correct
17 Correct 163 ms 4180 KB Output is correct
18 Correct 587 ms 4192 KB Output is correct
19 Correct 60 ms 4180 KB Output is correct
20 Correct 1144 ms 4212 KB Output is correct
21 Correct 552 ms 4200 KB Output is correct
22 Correct 65 ms 4180 KB Output is correct
23 Correct 56 ms 4180 KB Output is correct
24 Correct 50 ms 4180 KB Output is correct
25 Correct 1254 ms 4200 KB Output is correct
26 Correct 1267 ms 4208 KB Output is correct
27 Correct 46 ms 4180 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 212 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Runtime error 6 ms 8276 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Runtime error 6 ms 8276 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Runtime error 8 ms 8308 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 4052 KB Output is correct
2 Correct 31 ms 4052 KB Output is correct
3 Correct 31 ms 4172 KB Output is correct
4 Correct 36 ms 4052 KB Output is correct
5 Correct 37 ms 4052 KB Output is correct
6 Correct 49 ms 4180 KB Output is correct
7 Correct 4 ms 4180 KB Output is correct
8 Correct 85 ms 4180 KB Output is correct
9 Correct 9 ms 4180 KB Output is correct
10 Correct 12 ms 4204 KB Output is correct
11 Correct 171 ms 4208 KB Output is correct
12 Correct 15 ms 4180 KB Output is correct
13 Correct 3 ms 4180 KB Output is correct
14 Correct 3 ms 4180 KB Output is correct
15 Correct 7 ms 4200 KB Output is correct
16 Correct 1216 ms 4204 KB Output is correct
17 Correct 163 ms 4180 KB Output is correct
18 Correct 587 ms 4192 KB Output is correct
19 Correct 60 ms 4180 KB Output is correct
20 Correct 1144 ms 4212 KB Output is correct
21 Correct 552 ms 4200 KB Output is correct
22 Correct 65 ms 4180 KB Output is correct
23 Correct 56 ms 4180 KB Output is correct
24 Correct 50 ms 4180 KB Output is correct
25 Correct 1254 ms 4200 KB Output is correct
26 Correct 1267 ms 4208 KB Output is correct
27 Correct 46 ms 4180 KB Output is correct
28 Incorrect 1 ms 212 KB Output isn't correct
29 Halted 0 ms 0 KB -