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Submission #1113398

# Submission time Handle Problem Language Result Execution time Memory
1113398 2024-11-16T14:11:00 Z vjudge1 Snake Escaping (JOI18_snake_escaping) C++17
75 / 100
 2000 ms 50664 KB 
#include <bits/stdc++.h>
#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], sos[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))];
			sos[0][msk] = dp[0][msk];
			sos[1][msk] = dp[1][msk];
		}
		
	}
	
	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 (false && 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 += sos[x][init | msk];
			else
				ans -= sos[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 2 ms 8528 KB Output is correct
2 Correct 3 ms 8528 KB Output is correct
3 Correct 2 ms 8528 KB Output is correct
4 Correct 2 ms 8528 KB Output is correct
5 Correct 2 ms 8528 KB Output is correct
6 Correct 2 ms 8528 KB Output is correct
7 Correct 2 ms 8528 KB Output is correct
8 Correct 2 ms 8528 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8528 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8528 KB Output is correct
2 Correct 3 ms 8528 KB Output is correct
3 Correct 2 ms 8528 KB Output is correct
4 Correct 2 ms 8528 KB Output is correct
5 Correct 2 ms 8528 KB Output is correct
6 Correct 2 ms 8528 KB Output is correct
7 Correct 2 ms 8528 KB Output is correct
8 Correct 2 ms 8528 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8528 KB Output is correct
11 Correct 256 ms 12636 KB Output is correct
12 Correct 184 ms 12108 KB Output is correct
13 Correct 212 ms 11592 KB Output is correct
14 Correct 213 ms 11592 KB Output is correct
15 Correct 197 ms 12872 KB Output is correct
16 Correct 283 ms 19904 KB Output is correct
17 Correct 258 ms 11592 KB Output is correct
18 Correct 135 ms 18256 KB Output is correct
19 Correct 235 ms 10448 KB Output is correct
20 Correct 261 ms 17480 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8528 KB Output is correct
2 Correct 3 ms 8528 KB Output is correct
3 Correct 2 ms 8528 KB Output is correct
4 Correct 2 ms 8528 KB Output is correct
5 Correct 2 ms 8528 KB Output is correct
6 Correct 2 ms 8528 KB Output is correct
7 Correct 2 ms 8528 KB Output is correct
8 Correct 2 ms 8528 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8528 KB Output is correct
11 Correct 256 ms 12636 KB Output is correct
12 Correct 184 ms 12108 KB Output is correct
13 Correct 212 ms 11592 KB Output is correct
14 Correct 213 ms 11592 KB Output is correct
15 Correct 197 ms 12872 KB Output is correct
16 Correct 283 ms 19904 KB Output is correct
17 Correct 258 ms 11592 KB Output is correct
18 Correct 135 ms 18256 KB Output is correct
19 Correct 235 ms 10448 KB Output is correct
20 Correct 261 ms 17480 KB Output is correct
21 Correct 392 ms 19676 KB Output is correct
22 Correct 247 ms 12872 KB Output is correct
23 Correct 270 ms 12616 KB Output is correct
24 Correct 296 ms 23112 KB Output is correct
25 Correct 263 ms 24324 KB Output is correct
26 Correct 341 ms 12088 KB Output is correct
27 Correct 361 ms 18596 KB Output is correct
28 Correct 157 ms 24972 KB Output is correct
29 Correct 370 ms 20552 KB Output is correct
30 Correct 308 ms 18760 KB Output is correct
31 Correct 320 ms 23372 KB Output is correct
32 Correct 307 ms 12616 KB Output is correct
33 Correct 247 ms 18260 KB Output is correct
34 Correct 349 ms 20932 KB Output is correct
35 Correct 348 ms 23880 KB Output is correct
36 Correct 142 ms 23880 KB Output is correct
37 Correct 253 ms 23112 KB Output is correct
38 Correct 314 ms 17224 KB Output is correct
39 Correct 436 ms 14080 KB Output is correct
40 Correct 334 ms 15616 KB Output is correct

Subtask #4
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8528 KB Output is correct
2 Correct 3 ms 8528 KB Output is correct
3 Correct 2 ms 8528 KB Output is correct
4 Correct 2 ms 8528 KB Output is correct
5 Correct 2 ms 8528 KB Output is correct
6 Correct 2 ms 8528 KB Output is correct
7 Correct 2 ms 8528 KB Output is correct
8 Correct 2 ms 8528 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8528 KB Output is correct
11 Correct 56 ms 23272 KB Output is correct
12 Correct 53 ms 23160 KB Output is correct
13 Correct 94 ms 23284 KB Output is correct
14 Correct 69 ms 23276 KB Output is correct
15 Correct 52 ms 23272 KB Output is correct
16 Correct 73 ms 23396 KB Output is correct
17 Correct 73 ms 23180 KB Output is correct
18 Correct 45 ms 23528 KB Output is correct
19 Correct 250 ms 23028 KB Output is correct
20 Correct 48 ms 23148 KB Output is correct
21 Correct 52 ms 23184 KB Output is correct
22 Correct 63 ms 23276 KB Output is correct
23 Correct 48 ms 23156 KB Output is correct
24 Correct 60 ms 23276 KB Output is correct
25 Correct 66 ms 23272 KB Output is correct
26 Correct 38 ms 23028 KB Output is correct
27 Correct 47 ms 23372 KB Output is correct
28 Correct 348 ms 23028 KB Output is correct
29 Correct 63 ms 23144 KB Output is correct
30 Correct 76 ms 23172 KB Output is correct
31 Correct 64 ms 23276 KB Output is correct
32 Correct 66 ms 23272 KB Output is correct
33 Correct 78 ms 23272 KB Output is correct
34 Correct 44 ms 23196 KB Output is correct
35 Correct 85 ms 23144 KB Output is correct
36 Correct 86 ms 23272 KB Output is correct
37 Correct 80 ms 23272 KB Output is correct
38 Correct 86 ms 23188 KB Output is correct
39 Correct 83 ms 23240 KB Output is correct
40 Correct 82 ms 23276 KB Output is correct

Subtask #5
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8528 KB Output is correct
2 Correct 3 ms 8528 KB Output is correct
3 Correct 2 ms 8528 KB Output is correct
4 Correct 2 ms 8528 KB Output is correct
5 Correct 2 ms 8528 KB Output is correct
6 Correct 2 ms 8528 KB Output is correct
7 Correct 2 ms 8528 KB Output is correct
8 Correct 2 ms 8528 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8528 KB Output is correct
11 Correct 256 ms 12636 KB Output is correct
12 Correct 184 ms 12108 KB Output is correct
13 Correct 212 ms 11592 KB Output is correct
14 Correct 213 ms 11592 KB Output is correct
15 Correct 197 ms 12872 KB Output is correct
16 Correct 283 ms 19904 KB Output is correct
17 Correct 258 ms 11592 KB Output is correct
18 Correct 135 ms 18256 KB Output is correct
19 Correct 235 ms 10448 KB Output is correct
20 Correct 261 ms 17480 KB Output is correct
21 Correct 392 ms 19676 KB Output is correct
22 Correct 247 ms 12872 KB Output is correct
23 Correct 270 ms 12616 KB Output is correct
24 Correct 296 ms 23112 KB Output is correct
25 Correct 263 ms 24324 KB Output is correct
26 Correct 341 ms 12088 KB Output is correct
27 Correct 361 ms 18596 KB Output is correct
28 Correct 157 ms 24972 KB Output is correct
29 Correct 370 ms 20552 KB Output is correct
30 Correct 308 ms 18760 KB Output is correct
31 Correct 320 ms 23372 KB Output is correct
32 Correct 307 ms 12616 KB Output is correct
33 Correct 247 ms 18260 KB Output is correct
34 Correct 349 ms 20932 KB Output is correct
35 Correct 348 ms 23880 KB Output is correct
36 Correct 142 ms 23880 KB Output is correct
37 Correct 253 ms 23112 KB Output is correct
38 Correct 314 ms 17224 KB Output is correct
39 Correct 436 ms 14080 KB Output is correct
40 Correct 334 ms 15616 KB Output is correct
41 Correct 56 ms 23272 KB Output is correct
42 Correct 53 ms 23160 KB Output is correct
43 Correct 94 ms 23284 KB Output is correct
44 Correct 69 ms 23276 KB Output is correct
45 Correct 52 ms 23272 KB Output is correct
46 Correct 73 ms 23396 KB Output is correct
47 Correct 73 ms 23180 KB Output is correct
48 Correct 45 ms 23528 KB Output is correct
49 Correct 250 ms 23028 KB Output is correct
50 Correct 48 ms 23148 KB Output is correct
51 Correct 52 ms 23184 KB Output is correct
52 Correct 63 ms 23276 KB Output is correct
53 Correct 48 ms 23156 KB Output is correct
54 Correct 60 ms 23276 KB Output is correct
55 Correct 66 ms 23272 KB Output is correct
56 Correct 38 ms 23028 KB Output is correct
57 Correct 47 ms 23372 KB Output is correct
58 Correct 348 ms 23028 KB Output is correct
59 Correct 63 ms 23144 KB Output is correct
60 Correct 76 ms 23172 KB Output is correct
61 Correct 64 ms 23276 KB Output is correct
62 Correct 66 ms 23272 KB Output is correct
63 Correct 78 ms 23272 KB Output is correct
64 Correct 44 ms 23196 KB Output is correct
65 Correct 85 ms 23144 KB Output is correct
66 Correct 86 ms 23272 KB Output is correct
67 Correct 80 ms 23272 KB Output is correct
68 Correct 86 ms 23188 KB Output is correct
69 Correct 83 ms 23240 KB Output is correct
70 Correct 82 ms 23276 KB Output is correct
71 Correct 420 ms 42532 KB Output is correct
72 Correct 482 ms 34292 KB Output is correct
73 Correct 1231 ms 43188 KB Output is correct
74 Correct 672 ms 45544 KB Output is correct
75 Correct 477 ms 50664 KB Output is correct
76 Correct 653 ms 38296 KB Output is correct
77 Correct 737 ms 48872 KB Output is correct
78 Correct 206 ms 31076 KB Output is correct
79 Execution timed out 2063 ms 35560 KB Time limit exceeded
80 Halted 0 ms 0 KB -