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Submission #1113401

# Submission time Handle Problem Language Result Execution time Memory
1113401 2024-11-16T14:14:20 Z vjudge1 Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
 590 ms 37796 KB 
#include <bits/stdc++.h>
#pragma GCC target("popcnt")
#define ll long long
#define pii pair<int, int>
using namespace std;

const int N = 20, SPLIT = 6;

int n, q, mask[1<<N];
string vals;

int dp[2][1<<N];

int main()
{
	ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
	cin >> n >> q >> vals;
	for (int i = 0; i < (1<<n); i++)
		mask[i] = vals[i] - '0';
	for (int i = 0; i <= n; i++) {
		for (int msk = 0; msk < (1<<n); msk++) {
			if(!i){
				dp[0][msk] = mask[msk];
				dp[1][msk] = mask[msk];
				continue;
			}
			if (msk & (1 << (i-1)))
				dp[0][msk] += dp[0][msk ^ (1 << (i-1))];
			else
				dp[1][msk] += dp[1][msk ^ (1 << (i-1))];
		}
		
	}
	
	while (q--) {
		string b;
		cin >> b;
		int c_marks=0, cc[2]={};
		for (char c : b)
			if (c == '?')
				c_marks++;
			else
				cc[c-'0']++;
		
		
		if (c_marks <= SPLIT) {
			int init = 0;
			int marks = 0;
			for (int i = 0; i < n; i++)
				if (b[i] == '1')
					init |= (1 << (n-i-1));
				else if (b[i] == '?')
					marks |= (1 << (n-i-1));
			
			int ans = 0;
			for (int msk = marks; msk >= 0; msk = (msk-1)&marks) {
				ans += mask[init | msk];	
				if (msk == 0) break;
			}
			cout << ans << '\n';
			continue;
		}
		
		int x = (cc[1] <= SPLIT ? 0 : 1);
		
		int init = 0;
		int marks = 0;
		for (int i = 0; i < n; i++) {	
			if (b[i] == '?' && x == 0)
				init |= (1 << (n-i-1));
			
			if (b[i] == '1' && x == 1)
				init |= (1 << (n-i-1));
				
			if (x == 0 && b[i] == '1')
				marks |= (1 << (n-i-1));
				
			if (x == 1 && b[i] == '0')
				marks |= (1 << (n-i-1));
		}
			
		int ans = 0;
		for (int msk = marks; msk >= 0; msk = (msk-1)&marks) {
			if (__builtin_popcount(msk)%2 == cc[x] % 2)
				ans += dp[x][init | msk];
			else
				ans -= dp[x][init | msk];
			if (msk == 0) break;
		}
		
		cout << abs(ans) << '\n';
	}
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4648 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 4432 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4600 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4648 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 4432 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4600 KB Output is correct
11 Correct 184 ms 8520 KB Output is correct
12 Correct 177 ms 8008 KB Output is correct
13 Correct 182 ms 7448 KB Output is correct
14 Correct 165 ms 7496 KB Output is correct
15 Correct 207 ms 8556 KB Output is correct
16 Correct 191 ms 7756 KB Output is correct
17 Correct 207 ms 7552 KB Output is correct
18 Correct 116 ms 9544 KB Output is correct
19 Correct 132 ms 6476 KB Output is correct
20 Correct 186 ms 8008 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4648 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 4432 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4600 KB Output is correct
11 Correct 184 ms 8520 KB Output is correct
12 Correct 177 ms 8008 KB Output is correct
13 Correct 182 ms 7448 KB Output is correct
14 Correct 165 ms 7496 KB Output is correct
15 Correct 207 ms 8556 KB Output is correct
16 Correct 191 ms 7756 KB Output is correct
17 Correct 207 ms 7552 KB Output is correct
18 Correct 116 ms 9544 KB Output is correct
19 Correct 132 ms 6476 KB Output is correct
20 Correct 186 ms 8008 KB Output is correct
21 Correct 317 ms 8520 KB Output is correct
22 Correct 242 ms 8776 KB Output is correct
23 Correct 237 ms 7752 KB Output is correct
24 Correct 198 ms 7496 KB Output is correct
25 Correct 259 ms 9544 KB Output is correct
26 Correct 236 ms 8008 KB Output is correct
27 Correct 237 ms 7944 KB Output is correct
28 Correct 144 ms 10568 KB Output is correct
29 Correct 164 ms 6444 KB Output is correct
30 Correct 285 ms 8776 KB Output is correct
31 Correct 258 ms 8520 KB Output is correct
32 Correct 225 ms 8520 KB Output is correct
33 Correct 211 ms 7404 KB Output is correct
34 Correct 227 ms 7496 KB Output is correct
35 Correct 270 ms 8016 KB Output is correct
36 Correct 124 ms 6376 KB Output is correct
37 Correct 229 ms 8520 KB Output is correct
38 Correct 184 ms 6472 KB Output is correct
39 Correct 225 ms 7752 KB Output is correct
40 Correct 198 ms 7496 KB Output is correct

Subtask #4
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4648 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 4432 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4600 KB Output is correct
11 Correct 37 ms 15092 KB Output is correct
12 Correct 40 ms 15092 KB Output is correct
13 Correct 39 ms 15084 KB Output is correct
14 Correct 46 ms 15084 KB Output is correct
15 Correct 40 ms 15092 KB Output is correct
16 Correct 58 ms 15088 KB Output is correct
17 Correct 49 ms 15048 KB Output is correct
18 Correct 34 ms 15092 KB Output is correct
19 Correct 47 ms 14836 KB Output is correct
20 Correct 43 ms 15080 KB Output is correct
21 Correct 45 ms 15084 KB Output is correct
22 Correct 50 ms 15092 KB Output is correct
23 Correct 53 ms 14980 KB Output is correct
24 Correct 45 ms 15024 KB Output is correct
25 Correct 44 ms 15084 KB Output is correct
26 Correct 31 ms 14836 KB Output is correct
27 Correct 39 ms 15084 KB Output is correct
28 Correct 42 ms 14968 KB Output is correct
29 Correct 43 ms 14956 KB Output is correct
30 Correct 41 ms 15052 KB Output is correct
31 Correct 35 ms 15092 KB Output is correct
32 Correct 53 ms 14948 KB Output is correct
33 Correct 43 ms 15088 KB Output is correct
34 Correct 42 ms 14944 KB Output is correct
35 Correct 45 ms 14952 KB Output is correct
36 Correct 47 ms 14976 KB Output is correct
37 Correct 57 ms 14944 KB Output is correct
38 Correct 46 ms 15088 KB Output is correct
39 Correct 41 ms 14948 KB Output is correct
40 Correct 45 ms 14940 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4648 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 4432 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4600 KB Output is correct
11 Correct 184 ms 8520 KB Output is correct
12 Correct 177 ms 8008 KB Output is correct
13 Correct 182 ms 7448 KB Output is correct
14 Correct 165 ms 7496 KB Output is correct
15 Correct 207 ms 8556 KB Output is correct
16 Correct 191 ms 7756 KB Output is correct
17 Correct 207 ms 7552 KB Output is correct
18 Correct 116 ms 9544 KB Output is correct
19 Correct 132 ms 6476 KB Output is correct
20 Correct 186 ms 8008 KB Output is correct
21 Correct 317 ms 8520 KB Output is correct
22 Correct 242 ms 8776 KB Output is correct
23 Correct 237 ms 7752 KB Output is correct
24 Correct 198 ms 7496 KB Output is correct
25 Correct 259 ms 9544 KB Output is correct
26 Correct 236 ms 8008 KB Output is correct
27 Correct 237 ms 7944 KB Output is correct
28 Correct 144 ms 10568 KB Output is correct
29 Correct 164 ms 6444 KB Output is correct
30 Correct 285 ms 8776 KB Output is correct
31 Correct 258 ms 8520 KB Output is correct
32 Correct 225 ms 8520 KB Output is correct
33 Correct 211 ms 7404 KB Output is correct
34 Correct 227 ms 7496 KB Output is correct
35 Correct 270 ms 8016 KB Output is correct
36 Correct 124 ms 6376 KB Output is correct
37 Correct 229 ms 8520 KB Output is correct
38 Correct 184 ms 6472 KB Output is correct
39 Correct 225 ms 7752 KB Output is correct
40 Correct 198 ms 7496 KB Output is correct
41 Correct 37 ms 15092 KB Output is correct
42 Correct 40 ms 15092 KB Output is correct
43 Correct 39 ms 15084 KB Output is correct
44 Correct 46 ms 15084 KB Output is correct
45 Correct 40 ms 15092 KB Output is correct
46 Correct 58 ms 15088 KB Output is correct
47 Correct 49 ms 15048 KB Output is correct
48 Correct 34 ms 15092 KB Output is correct
49 Correct 47 ms 14836 KB Output is correct
50 Correct 43 ms 15080 KB Output is correct
51 Correct 45 ms 15084 KB Output is correct
52 Correct 50 ms 15092 KB Output is correct
53 Correct 53 ms 14980 KB Output is correct
54 Correct 45 ms 15024 KB Output is correct
55 Correct 44 ms 15084 KB Output is correct
56 Correct 31 ms 14836 KB Output is correct
57 Correct 39 ms 15084 KB Output is correct
58 Correct 42 ms 14968 KB Output is correct
59 Correct 43 ms 14956 KB Output is correct
60 Correct 41 ms 15052 KB Output is correct
61 Correct 35 ms 15092 KB Output is correct
62 Correct 53 ms 14948 KB Output is correct
63 Correct 43 ms 15088 KB Output is correct
64 Correct 42 ms 14944 KB Output is correct
65 Correct 45 ms 14952 KB Output is correct
66 Correct 47 ms 14976 KB Output is correct
67 Correct 57 ms 14944 KB Output is correct
68 Correct 46 ms 15088 KB Output is correct
69 Correct 41 ms 14948 KB Output is correct
70 Correct 45 ms 14940 KB Output is correct
71 Correct 341 ms 19804 KB Output is correct
72 Correct 377 ms 19940 KB Output is correct
73 Correct 349 ms 18408 KB Output is correct
74 Correct 560 ms 18760 KB Output is correct
75 Correct 461 ms 20060 KB Output is correct
76 Correct 558 ms 18012 KB Output is correct
77 Correct 474 ms 19092 KB Output is correct
78 Correct 240 ms 21852 KB Output is correct
79 Correct 323 ms 19432 KB Output is correct
80 Correct 422 ms 23544 KB Output is correct
81 Correct 543 ms 34276 KB Output is correct
82 Correct 590 ms 17752 KB Output is correct
83 Correct 342 ms 37796 KB Output is correct
84 Correct 455 ms 18804 KB Output is correct
85 Correct 454 ms 19180 KB Output is correct
86 Correct 197 ms 36588 KB Output is correct
87 Correct 374 ms 35560 KB Output is correct
88 Correct 367 ms 27864 KB Output is correct
89 Correct 440 ms 34092 KB Output is correct
90 Correct 493 ms 34464 KB Output is correct
91 Correct 331 ms 29024 KB Output is correct
92 Correct 559 ms 30184 KB Output is correct
93 Correct 533 ms 30472 KB Output is correct
94 Correct 216 ms 36648 KB Output is correct
95 Correct 489 ms 37352 KB Output is correct
96 Correct 491 ms 29992 KB Output is correct
97 Correct 456 ms 33520 KB Output is correct
98 Correct 458 ms 36580 KB Output is correct
99 Correct 447 ms 35532 KB Output is correct
100 Correct 484 ms 36052 KB Output is correct