oj.uz

답안 #539027

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
539027 2022-03-18T09:50:03 Z amunduzbaev L-triominoes (CEOI21_ltriominoes) C++17
28 / 100
 143 ms 6444 KB 
#include "bits/stdc++.h"
using namespace std;

#define ar array

struct mtx{
	vector<vector<int>> t;
	int n;
	
	mtx (int sz){
		n = sz;
		t.resize(n, vector<int>(n, 0));
	}
	
	mtx operator * (mtx& b){
		mtx c(n);
		for(int i=0;i<n;i++){
			for(int j=0;j<n;j++){
				for(int k=0;k<n;k++){
					c.t[i][j] |= (t[i][k] & b.t[k][j]);
				}
			}
		} return c;
	}
};

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n, m, k; cin>>n>>m>>k;
	vector<ar<int, 2>> a(k);
	for(int i=0;i<k;i++){
		cin>>a[i][0]>>a[i][1];
		a[i][0]--, a[i][1]--;
	}
	
	if(n <= 7){
		vector<mtx> pw(30, mtx(1 << n));
		{
			mtx dp(1 << n);
			for(int i=0;i < (1 << n);i++){
				for(int j=0;j < (1 << (n + n));j++){
					int mask = 0, mm = i;
					for(int l=0;l<n;l++){
						if(mm >> l & 1) continue;
						int v = (j >> (2 * l)) & 3;
						if(v == 0){
							if(l + 1 < n && !(mm >> (l + 1) & 1) && !(mask >> (l + 1) & 1)){
								mm |= (1 << l);
								mm |= (1 << (l + 1));
								mask |= (1 << (l + 1));
							}
						}
						if(v == 1){
							if(l + 1 < n && !(mm >> (l + 1) & 1) && !(mask >> l & 1)){
								mm |= (1 << l);
								mm |= (1 << (l + 1));
								mask |= (1 << l);
							}
						}
						if(v == 2){
							if(l && !(mask >> (l - 1) & 1) && !(mask >> l & 1)){
								mm |= (1 << l);
								mask |= (1 << l);
								mask |= (1 << (l - 1));
							}
						}
						if(v == 3){
							if(l + 1 < n && !(mask >> (l + 1) & 1) && !(mask >> l & 1)){
								mm |= (1 << l);
								mask |= (1 << l);
								mask |= (1 << (l + 1));
							}
						}
					}
					
					if(mm == (1 << n) - 1 && !dp.t[i][mask]){
						//~ for(int j=0;j<n;j++) cout<<(i >> j & 1);
						//~ cout<<endl;
						//~ for(int j=0;j<n;j++) cout<<(mask >> j & 1);
						//~ cout<<endl<<endl;
						dp.t[i][mask] = 1;
					}
				}
			}
			
			pw[0] = dp;
			for(int j=1;j<30;j++){
				pw[j] = pw[j-1] * pw[j-1];
			}
		}
		
		sort(a.begin(), a.end(), [&](auto& a, auto& b){
			return (a[1] < b[1]);
		});
		
		vector<int> dp(1 << n);
		dp[(1 << n) - 1] = 1;
		int last = -1;
		for(int i=0;i<k;){
			int j = i, rev = 0;
			while(j<k && a[j][1] == a[i][1]) rev |= (1 << a[j][0]), j++;
			
			int d = a[i][1] - last;
			for(int l=29;~l;l--){
				if(d >> l & 1){
					d ^= (1 << l);
					vector<int> tp(1 << n);
					for(int mask=0;mask < (1 << n);mask++){
						for(int j=0;j < (1 << n);j++){
							if(d){
								tp[j] |= (dp[mask] & pw[l].t[mask][j]);
							} else {
								if(j & rev) continue;
								tp[j | rev] |= (dp[mask] & pw[l].t[mask][j]);
							}
						}
					}
					swap(tp, dp);
				}
			} last = a[i][1], i = j;
		}
		
		int d = m - last - 1;
		for(int l=29;~l;l--){
			if(d >> l & 1){
				vector<int> tp(1 << n);
				for(int mask=0;mask < (1 << n);mask++){
					for(int j=0;j < (1 << n);j++){
						tp[j] |= dp[mask] & pw[l].t[mask][j];
					}
				}
				
				swap(tp, dp);
			}
		}
		
		if(dp[(1 << n) - 1]) cout<<"YES\n";
		else cout<<"NO\n";
	} else {
		vector<vector<mtx>> pw(7, vector<mtx>(30, mtx(0)));
		for(int t=0;t<7;t++){
			int n = t + 1;
			mtx dp(1 << n);
			for(int i=0;i < (1 << n);i++){
				for(int j=0;j < (1 << n);j++){
					int mask = 0, mm = i;
					for(int l=0;l<n;l++){
						if(mm >> l & 1) continue;
						if(l + 1 < n && !(mm >> (l + 1) & 1) && !(mask >> (l + (j >> l & 1)) & 1) && 
						(j >> l & 1) == (j >> (l + 1) & 1)){
							mm |= (1 << l);
							mm |= (1 << (l + 1));
							mask |= (1 << (l + (j >> l & 1)));
						} else if((j >> l & 1) && l + 1 < n && !(mask >> (l + 1) & 1) && !(mask >> l & 1)){
							mm |= (1 << l);
							mask |= (1 << l);
							mask |= (1 << (l + 1));
						} else if(!(j >> l & 1) && l && !(mask >> (l - 1) & 1) && !(mask >> l & 1)){
							mm |= (1 << l);
							mask |= (1 << l);
							mask |= (1 << (l - 1));
						}
					}
					
					if(mm == (1 << n) - 1 && !dp.t[i][mask]){
						//~ for(int j=0;j<n;j++) cout<<(i >> j & 1);
						//~ cout<<endl;
						//~ for(int j=0;j<n;j++) cout<<(mask >> j & 1);
						//~ cout<<endl<<endl;
						dp.t[i][mask] = 1;
					}
				}
			}
			
			pw[t][0] = dp;
			for(int j=1;j<30;j++){
				pw[t][j] = pw[t][j-1] * pw[t][j-1];
			}
		}
		
		sort(a.begin(), a.end(), [&](auto& a, auto& b){
			return (a[1] < b[1]);
		});
		vector<int> dp(1 << n);
		auto solve = [&](int l, int r, vector<int>& t1, int& d, int& I, int rev){
			int t = (r - l);
			vector<int> d1(1 << t);
			for(int mask=0;mask<(1 << n);mask++){
				int m = (mask >> l) & ((1 << t) - 1);
				d1[m] |= dp[mask];
			} rev = (rev >> l) & ((1 << t) - 1);
			
			for(int mask=0;mask < (1 << t);mask++){
				for(int j=0;j < (1 << t);j++){
					if(d){
						t1[j] |= (d1[mask] & pw[I][t - 1].t[mask][j]);
					} else {
						if(rev & j) continue;
						t1[rev | j] |= (d1[mask] & pw[I][t - 1].t[mask][j]);
					}
				}
			}
		};
		
		dp[(1 << n) - 1] = 1;
		int last = -1;
		for(int i=0;i<k;){
			int j = i, rev = 0;
			while(j<k && a[j][1] == a[i][1]) rev |= (1 << a[j][0]), j++;
			
			int d = a[i][1] - last;
			for(int l=29;~l;l--){
				if(d >> l & 1){
					d ^= (1 << l);
					vector<int> tp(1 << n);
					for(int t=1;t<=7;t++){
						int r = n - t;
						if(r > 7) continue;
						
						vector<int> t1(1 << t), t2(1 << r);
						solve(0, t, t1, d, l, rev);
						solve(t, n, t2, d, l, rev);
						for(int mask=0;mask < (1 << n);mask++){
							tp[mask] |= (t1[mask & ((1 << t) -1 )] & t2[mask >> t]);
						}
					}
					swap(tp, dp);
				}
			} last = a[i][1], i = j;
		}
		
		int d = m - last - 1;
		for(int l=29;~l;l--){
			if(d >> l & 1){
				vector<int> tp(1 << n);
				for(int t=1;t<=7;t++){
					int r = n - t;
					if(r > 7) continue;
					
					vector<int> t1(1 << t), t2(1 << r);
					solve(0, t, t1, d, l, 0);
					solve(t, n, t2, d, l, 0);
					for(int mask=0;mask < (1 << n);mask++){
						tp[mask] |= (t1[mask & ((1 << t) -1 )] & t2[mask >> t]);
					}
				}
				swap(tp, dp);
			}
		}
		
		if(dp[(1 << n) - 1]) cout<<"YES\n";
		else cout<<"NO\n";
	}
}

Subtask #1
0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 3 ms 468 KB Output is correct
7 Correct 108 ms 2512 KB Output is correct
8 Runtime error 82 ms 6312 KB Execution killed with signal 11
9 Halted 0 ms 0 KB -

Subtask #2
0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 143 ms 2512 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Runtime error 85 ms 6444 KB Execution killed with signal 11
6 Halted 0 ms 0 KB -

Subtask #3
11.0 / 11.0

# 결과 실행 시간 메모리 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 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 2 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 4 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 212 KB Output is correct

Subtask #4
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 5 ms 468 KB Output is correct
4 Correct 4 ms 468 KB Output is correct
5 Correct 18 ms 908 KB Output is correct
6 Correct 2 ms 480 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 4 ms 484 KB Output is correct
10 Correct 2 ms 340 KB Output is correct
11 Correct 6 ms 468 KB Output is correct
12 Correct 26 ms 916 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 2 ms 372 KB Output is correct
15 Correct 8 ms 500 KB Output is correct
16 Correct 22 ms 852 KB Output is correct
17 Correct 5 ms 468 KB Output is correct
18 Correct 5 ms 468 KB Output is correct
19 Correct 21 ms 852 KB Output is correct
20 Correct 16 ms 920 KB Output is correct
21 Correct 3 ms 468 KB Output is correct
22 Correct 15 ms 916 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 5 ms 468 KB Output is correct
25 Correct 24 ms 852 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 5 ms 468 KB Output is correct
28 Correct 3 ms 468 KB Output is correct
29 Correct 5 ms 468 KB Output is correct
30 Correct 4 ms 484 KB Output is correct
31 Correct 5 ms 468 KB Output is correct
32 Correct 23 ms 852 KB Output is correct
33 Correct 23 ms 916 KB Output is correct
34 Correct 17 ms 852 KB Output is correct
35 Correct 17 ms 852 KB Output is correct
36 Correct 3 ms 468 KB Output is correct
37 Correct 15 ms 916 KB Output is correct

Subtask #5
0 / 35.0

# 결과 실행 시간 메모리 Grader output
1 Correct 121 ms 2440 KB Output is correct
2 Correct 120 ms 2448 KB Output is correct
3 Runtime error 77 ms 6392 KB Execution killed with signal 11
4 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 3 ms 468 KB Output is correct
7 Correct 108 ms 2512 KB Output is correct
8 Runtime error 82 ms 6312 KB Execution killed with signal 11
9 Halted 0 ms 0 KB -