Submission #535339

# Submission time Handle Problem Language Result Execution time Memory
535339 2022-03-10T03:39:51 Z amunduzbaev Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
1473 ms 42232 KB
#include "bits/stdc++.h"
using namespace std;
 
#define ar array
 
const int N = 20;
int dp[2][1 << N];
int a[1 << N], n, m;

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n, m; cin>>n>>m;
	for(int i=0;i<(1 << n);i++){
		char c; cin>>c;
		a[i] = c - '0';
		dp[0][i] = dp[1][i] = a[i];
	}
	
	for(int i=n-1;~i;i--){
		for(int mask=0;mask<(1 << n);mask++){
			if(mask >> i & 1) dp[1][mask] += dp[1][mask ^ (1 << i)];
		}
		
		for(int mask=(1 << n)-1;~mask;mask--){
			if(!(mask >> i & 1)) dp[0][mask] += dp[0][mask | (1 << i)];
		}
	}
	
	ar<int, 3> c {};
	int res, in, t;
	vector<int> p;
	while(m--){
		string s; cin>>s;
		reverse(s.begin(), s.end());
		c[0] = c[1] = c[2] = 0;
		for(int i=0;i<n;i++){
			if(s[i] == '0') c[0]++;
			if(s[i] == '1') c[1]++;
			if(s[i] == '?') c[2]++;
		}
		
		res = 0; p.clear();
		if(c[2] <= 6){
			in = 0;
			for(int i=0;i<n;i++){
				if(s[i] == '0' || s[i] == '1') in |= ((s[i] - '0') << i);
				else p.push_back(i);
			}
			
			for(int mask=0;mask < (1 << c[2]);mask++){
				int tot = in;
				for(int j=0;j<c[2];j++){
					if(mask >> j & 1) tot |= (1 << p[j]);
				}
				
				res += a[tot];
			}
		} 
		else if(c[0] <= 6) {
			t = 0, in = 0;
			for(int i=0;i<n;i++){
				if(s[i] == '1') in |= (1 << i);
				if(s[i] == '0') p.push_back(i);
			}
			
			for(int mask=0;mask < (1 << c[0]);mask++){
				int tot = in;
				for(int j=0;j<c[0];j++){
					if(mask >> j & 1) tot |= (1 << p[j]);
				}
				
				if(__builtin_popcount(mask)&1) res -= dp[t][tot];
				else res += dp[t][tot];
			}
		} else if(c[1] <= 6) {
			t = 1, in = (1 << n) - 1;
			for(int i=0;i<n;i++){
				if(s[i] == '0') in ^= (1 << i);
				if(s[i] == '1') p.push_back(i);
			}
			
			for(int mask=0;mask<(1 << c[1]);mask++){
				int tot = in;
				for(int j=0;j<c[1];j++){
					if(mask >> j & 1) tot ^= (1 << p[j]);
				}
				
				if(__builtin_popcount(mask)&1) res -= dp[t][tot];
				else res += dp[t][tot];
			}
		} else assert(false);
		
		cout<<res<<"\n";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 461 ms 4288 KB Output is correct
12 Correct 452 ms 4184 KB Output is correct
13 Correct 306 ms 3224 KB Output is correct
14 Correct 287 ms 3288 KB Output is correct
15 Correct 743 ms 4356 KB Output is correct
16 Correct 395 ms 3524 KB Output is correct
17 Correct 396 ms 3548 KB Output is correct
18 Correct 170 ms 5328 KB Output is correct
19 Correct 208 ms 2316 KB Output is correct
20 Correct 490 ms 4044 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 461 ms 4288 KB Output is correct
12 Correct 452 ms 4184 KB Output is correct
13 Correct 306 ms 3224 KB Output is correct
14 Correct 287 ms 3288 KB Output is correct
15 Correct 743 ms 4356 KB Output is correct
16 Correct 395 ms 3524 KB Output is correct
17 Correct 396 ms 3548 KB Output is correct
18 Correct 170 ms 5328 KB Output is correct
19 Correct 208 ms 2316 KB Output is correct
20 Correct 490 ms 4044 KB Output is correct
21 Correct 277 ms 4428 KB Output is correct
22 Correct 728 ms 4596 KB Output is correct
23 Correct 461 ms 3772 KB Output is correct
24 Correct 395 ms 3508 KB Output is correct
25 Correct 374 ms 5556 KB Output is correct
26 Correct 542 ms 3976 KB Output is correct
27 Correct 520 ms 3948 KB Output is correct
28 Correct 180 ms 6376 KB Output is correct
29 Correct 232 ms 2532 KB Output is correct
30 Correct 491 ms 4600 KB Output is correct
31 Correct 852 ms 4476 KB Output is correct
32 Correct 537 ms 4380 KB Output is correct
33 Correct 331 ms 3448 KB Output is correct
34 Correct 400 ms 3524 KB Output is correct
35 Correct 530 ms 4184 KB Output is correct
36 Correct 209 ms 2456 KB Output is correct
37 Correct 788 ms 4416 KB Output is correct
38 Correct 274 ms 2516 KB Output is correct
39 Correct 443 ms 3612 KB Output is correct
40 Correct 396 ms 3540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 92 ms 14828 KB Output is correct
12 Correct 107 ms 14908 KB Output is correct
13 Correct 94 ms 14840 KB Output is correct
14 Correct 136 ms 14792 KB Output is correct
15 Correct 99 ms 14900 KB Output is correct
16 Correct 122 ms 14836 KB Output is correct
17 Correct 115 ms 14768 KB Output is correct
18 Correct 68 ms 15004 KB Output is correct
19 Correct 80 ms 14668 KB Output is correct
20 Correct 84 ms 14856 KB Output is correct
21 Correct 99 ms 14924 KB Output is correct
22 Correct 147 ms 14796 KB Output is correct
23 Correct 84 ms 14772 KB Output is correct
24 Correct 108 ms 14796 KB Output is correct
25 Correct 123 ms 14800 KB Output is correct
26 Correct 76 ms 14644 KB Output is correct
27 Correct 81 ms 14916 KB Output is correct
28 Correct 76 ms 14780 KB Output is correct
29 Correct 96 ms 14772 KB Output is correct
30 Correct 125 ms 14812 KB Output is correct
31 Correct 110 ms 14796 KB Output is correct
32 Correct 127 ms 14772 KB Output is correct
33 Correct 115 ms 14780 KB Output is correct
34 Correct 74 ms 14776 KB Output is correct
35 Correct 112 ms 14776 KB Output is correct
36 Correct 104 ms 14904 KB Output is correct
37 Correct 105 ms 14788 KB Output is correct
38 Correct 124 ms 14800 KB Output is correct
39 Correct 114 ms 14848 KB Output is correct
40 Correct 106 ms 14876 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 461 ms 4288 KB Output is correct
12 Correct 452 ms 4184 KB Output is correct
13 Correct 306 ms 3224 KB Output is correct
14 Correct 287 ms 3288 KB Output is correct
15 Correct 743 ms 4356 KB Output is correct
16 Correct 395 ms 3524 KB Output is correct
17 Correct 396 ms 3548 KB Output is correct
18 Correct 170 ms 5328 KB Output is correct
19 Correct 208 ms 2316 KB Output is correct
20 Correct 490 ms 4044 KB Output is correct
21 Correct 277 ms 4428 KB Output is correct
22 Correct 728 ms 4596 KB Output is correct
23 Correct 461 ms 3772 KB Output is correct
24 Correct 395 ms 3508 KB Output is correct
25 Correct 374 ms 5556 KB Output is correct
26 Correct 542 ms 3976 KB Output is correct
27 Correct 520 ms 3948 KB Output is correct
28 Correct 180 ms 6376 KB Output is correct
29 Correct 232 ms 2532 KB Output is correct
30 Correct 491 ms 4600 KB Output is correct
31 Correct 852 ms 4476 KB Output is correct
32 Correct 537 ms 4380 KB Output is correct
33 Correct 331 ms 3448 KB Output is correct
34 Correct 400 ms 3524 KB Output is correct
35 Correct 530 ms 4184 KB Output is correct
36 Correct 209 ms 2456 KB Output is correct
37 Correct 788 ms 4416 KB Output is correct
38 Correct 274 ms 2516 KB Output is correct
39 Correct 443 ms 3612 KB Output is correct
40 Correct 396 ms 3540 KB Output is correct
41 Correct 92 ms 14828 KB Output is correct
42 Correct 107 ms 14908 KB Output is correct
43 Correct 94 ms 14840 KB Output is correct
44 Correct 136 ms 14792 KB Output is correct
45 Correct 99 ms 14900 KB Output is correct
46 Correct 122 ms 14836 KB Output is correct
47 Correct 115 ms 14768 KB Output is correct
48 Correct 68 ms 15004 KB Output is correct
49 Correct 80 ms 14668 KB Output is correct
50 Correct 84 ms 14856 KB Output is correct
51 Correct 99 ms 14924 KB Output is correct
52 Correct 147 ms 14796 KB Output is correct
53 Correct 84 ms 14772 KB Output is correct
54 Correct 108 ms 14796 KB Output is correct
55 Correct 123 ms 14800 KB Output is correct
56 Correct 76 ms 14644 KB Output is correct
57 Correct 81 ms 14916 KB Output is correct
58 Correct 76 ms 14780 KB Output is correct
59 Correct 96 ms 14772 KB Output is correct
60 Correct 125 ms 14812 KB Output is correct
61 Correct 110 ms 14796 KB Output is correct
62 Correct 127 ms 14772 KB Output is correct
63 Correct 115 ms 14780 KB Output is correct
64 Correct 74 ms 14776 KB Output is correct
65 Correct 112 ms 14776 KB Output is correct
66 Correct 104 ms 14904 KB Output is correct
67 Correct 105 ms 14788 KB Output is correct
68 Correct 124 ms 14800 KB Output is correct
69 Correct 114 ms 14848 KB Output is correct
70 Correct 106 ms 14876 KB Output is correct
71 Correct 584 ms 39172 KB Output is correct
72 Correct 654 ms 39256 KB Output is correct
73 Correct 855 ms 37844 KB Output is correct
74 Correct 1318 ms 38296 KB Output is correct
75 Correct 653 ms 40180 KB Output is correct
76 Correct 1342 ms 38592 KB Output is correct
77 Correct 1243 ms 38580 KB Output is correct
78 Correct 308 ms 42232 KB Output is correct
79 Correct 424 ms 36152 KB Output is correct
80 Correct 554 ms 39308 KB Output is correct
81 Correct 985 ms 39128 KB Output is correct
82 Correct 1302 ms 38180 KB Output is correct
83 Correct 588 ms 37300 KB Output is correct
84 Correct 1066 ms 38348 KB Output is correct
85 Correct 1234 ms 38324 KB Output is correct
86 Correct 335 ms 36104 KB Output is correct
87 Correct 500 ms 39256 KB Output is correct
88 Correct 434 ms 36140 KB Output is correct
89 Correct 776 ms 37880 KB Output is correct
90 Correct 1104 ms 38636 KB Output is correct
91 Correct 619 ms 37428 KB Output is correct
92 Correct 1473 ms 38512 KB Output is correct
93 Correct 1228 ms 38460 KB Output is correct
94 Correct 303 ms 36280 KB Output is correct
95 Correct 1006 ms 38416 KB Output is correct
96 Correct 1056 ms 38384 KB Output is correct
97 Correct 1010 ms 38348 KB Output is correct
98 Correct 1008 ms 38492 KB Output is correct
99 Correct 1012 ms 38396 KB Output is correct
100 Correct 1004 ms 38348 KB Output is correct