Submission #848700

# Submission time Handle Problem Language Result Execution time Memory
848700 2023-09-13T10:01:40 Z vjudge1 Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
689 ms 28320 KB
#include <bits/stdc++.h>
using namespace std;

void main_program();

signed main(){
	ios_base::sync_with_stdio(0); cin.tie(0);
	main_program();
}

const int maxn = 1 << 20;

int lg, n, q;
vector<int> v;

vector<int> subsetZeta(vector<int> V){
	for (int j = 0; j < lg; j++){
		for (int i = 0; i < n; i++){
			if (((i >> j) & 1)){
				V[i] += V[i ^ (1 << j)];
			}
		}
	}
	return V;
}

vector<int> supersetZeta(vector<int> V){
	for (int j = 0; j < lg; j++){
		for (int i = 0; i < n; i++){
			if (((i >> j) & 1) == 0){
				V[i] += V[i ^ (1 << j)];
			}
		}
	}
	return V;
}

void main_program(){
	cin >> lg >> q;
	n = 1 << lg;

	v.resize(n);
	string s; cin >> s;
	for (int i = 0; i < n; i++) v[i] = (s[i] - '0');

	vector<int> subset = subsetZeta(v), superset = supersetZeta(v);

	for (int _ = 0; _ < q; _++){
		string Q; cin >> Q;

		int mask0 = 0, mask1 = 0, mask2 = 0;
		for (int i = 0; i < lg; i++){
			if (Q[i] == '0') mask0 |= (1 << (lg-1 - i));
			if (Q[i] == '1') mask1 |= (1 << (lg-1 - i));
			if (Q[i] == '?') mask2 |= (1 << (lg-1 - i));
		}
		int popcnt0 = __builtin_popcount(mask0);
		int popcnt1 = __builtin_popcount(mask1);
		int popcnt2 = __builtin_popcount(mask2);
		int mn = min({popcnt0, popcnt1, popcnt2});

		if (popcnt0 == mn){
			int sum = 0;
			for (int submask = mask0; submask > 0; submask = (submask - 1) & mask0){
				int num = mask1 + submask;
				int sign = ((__builtin_popcount(submask) & 1)) ? -1 : 1;
				sum += superset[num] * sign;
			}
			{
				int submask = 0;
				int num = mask1 + submask;
				int sign = ((__builtin_popcount(submask) & 1)) ? -1 : 1;
				sum += superset[num] * sign;
			}
			cout << sum << "\n";
		}
		else if (popcnt1 == mn){
			int sum = 0;
			for (int submask = mask1; submask > 0; submask = (submask - 1) & mask1){
				int num = mask2 + submask;
				int sign = ((__builtin_popcount(submask) & 1) == (popcnt1 & 1)) ? 1 : -1;
				sum += subset[num] * sign;
			}
			{
				int submask = 0;
				int num = mask2 + submask;
				int sign = ((__builtin_popcount(submask) & 1) == (popcnt1 & 1)) ? 1 : -1;
				sum += subset[num] * sign;
			}
			cout << sum << "\n";
		}
		else{
			int sum = 0;
			for (int submask = mask2; submask > 0; submask = (submask - 1) & mask2){
				int num = mask1 + submask;
				sum += v[num];
			}
			{
				int submask = 0;
				int num = mask1 + submask;
				sum += v[num];
			}
			cout << sum << "\n";
		}
	}
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 190 ms 8724 KB Output is correct
12 Correct 185 ms 8340 KB Output is correct
13 Correct 203 ms 7504 KB Output is correct
14 Correct 224 ms 7764 KB Output is correct
15 Correct 194 ms 8792 KB Output is correct
16 Correct 230 ms 7968 KB Output is correct
17 Correct 215 ms 7892 KB Output is correct
18 Correct 163 ms 9960 KB Output is correct
19 Correct 161 ms 6716 KB Output is correct
20 Correct 188 ms 8412 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 190 ms 8724 KB Output is correct
12 Correct 185 ms 8340 KB Output is correct
13 Correct 203 ms 7504 KB Output is correct
14 Correct 224 ms 7764 KB Output is correct
15 Correct 194 ms 8792 KB Output is correct
16 Correct 230 ms 7968 KB Output is correct
17 Correct 215 ms 7892 KB Output is correct
18 Correct 163 ms 9960 KB Output is correct
19 Correct 161 ms 6716 KB Output is correct
20 Correct 188 ms 8412 KB Output is correct
21 Correct 199 ms 10152 KB Output is correct
22 Correct 196 ms 10192 KB Output is correct
23 Correct 241 ms 9148 KB Output is correct
24 Correct 285 ms 9104 KB Output is correct
25 Correct 228 ms 11060 KB Output is correct
26 Correct 254 ms 9520 KB Output is correct
27 Correct 262 ms 9504 KB Output is correct
28 Correct 150 ms 12112 KB Output is correct
29 Correct 184 ms 8044 KB Output is correct
30 Correct 227 ms 10324 KB Output is correct
31 Correct 238 ms 10048 KB Output is correct
32 Correct 259 ms 10092 KB Output is correct
33 Correct 207 ms 8952 KB Output is correct
34 Correct 250 ms 9044 KB Output is correct
35 Correct 260 ms 9704 KB Output is correct
36 Correct 142 ms 8216 KB Output is correct
37 Correct 188 ms 10124 KB Output is correct
38 Correct 199 ms 8012 KB Output is correct
39 Correct 228 ms 9200 KB Output is correct
40 Correct 270 ms 9112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 52 ms 15424 KB Output is correct
12 Correct 76 ms 15348 KB Output is correct
13 Correct 57 ms 15372 KB Output is correct
14 Correct 72 ms 15236 KB Output is correct
15 Correct 52 ms 15420 KB Output is correct
16 Correct 62 ms 15328 KB Output is correct
17 Correct 64 ms 15348 KB Output is correct
18 Correct 47 ms 15348 KB Output is correct
19 Correct 50 ms 15140 KB Output is correct
20 Correct 62 ms 15448 KB Output is correct
21 Correct 58 ms 15436 KB Output is correct
22 Correct 65 ms 15508 KB Output is correct
23 Correct 57 ms 15188 KB Output is correct
24 Correct 62 ms 15348 KB Output is correct
25 Correct 60 ms 15352 KB Output is correct
26 Correct 52 ms 15228 KB Output is correct
27 Correct 52 ms 15352 KB Output is correct
28 Correct 53 ms 15092 KB Output is correct
29 Correct 54 ms 15332 KB Output is correct
30 Correct 62 ms 15348 KB Output is correct
31 Correct 52 ms 15192 KB Output is correct
32 Correct 62 ms 15352 KB Output is correct
33 Correct 61 ms 15168 KB Output is correct
34 Correct 46 ms 15176 KB Output is correct
35 Correct 57 ms 15352 KB Output is correct
36 Correct 68 ms 15352 KB Output is correct
37 Correct 66 ms 15384 KB Output is correct
38 Correct 58 ms 15364 KB Output is correct
39 Correct 57 ms 15204 KB Output is correct
40 Correct 58 ms 15348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 190 ms 8724 KB Output is correct
12 Correct 185 ms 8340 KB Output is correct
13 Correct 203 ms 7504 KB Output is correct
14 Correct 224 ms 7764 KB Output is correct
15 Correct 194 ms 8792 KB Output is correct
16 Correct 230 ms 7968 KB Output is correct
17 Correct 215 ms 7892 KB Output is correct
18 Correct 163 ms 9960 KB Output is correct
19 Correct 161 ms 6716 KB Output is correct
20 Correct 188 ms 8412 KB Output is correct
21 Correct 199 ms 10152 KB Output is correct
22 Correct 196 ms 10192 KB Output is correct
23 Correct 241 ms 9148 KB Output is correct
24 Correct 285 ms 9104 KB Output is correct
25 Correct 228 ms 11060 KB Output is correct
26 Correct 254 ms 9520 KB Output is correct
27 Correct 262 ms 9504 KB Output is correct
28 Correct 150 ms 12112 KB Output is correct
29 Correct 184 ms 8044 KB Output is correct
30 Correct 227 ms 10324 KB Output is correct
31 Correct 238 ms 10048 KB Output is correct
32 Correct 259 ms 10092 KB Output is correct
33 Correct 207 ms 8952 KB Output is correct
34 Correct 250 ms 9044 KB Output is correct
35 Correct 260 ms 9704 KB Output is correct
36 Correct 142 ms 8216 KB Output is correct
37 Correct 188 ms 10124 KB Output is correct
38 Correct 199 ms 8012 KB Output is correct
39 Correct 228 ms 9200 KB Output is correct
40 Correct 270 ms 9112 KB Output is correct
41 Correct 52 ms 15424 KB Output is correct
42 Correct 76 ms 15348 KB Output is correct
43 Correct 57 ms 15372 KB Output is correct
44 Correct 72 ms 15236 KB Output is correct
45 Correct 52 ms 15420 KB Output is correct
46 Correct 62 ms 15328 KB Output is correct
47 Correct 64 ms 15348 KB Output is correct
48 Correct 47 ms 15348 KB Output is correct
49 Correct 50 ms 15140 KB Output is correct
50 Correct 62 ms 15448 KB Output is correct
51 Correct 58 ms 15436 KB Output is correct
52 Correct 65 ms 15508 KB Output is correct
53 Correct 57 ms 15188 KB Output is correct
54 Correct 62 ms 15348 KB Output is correct
55 Correct 60 ms 15352 KB Output is correct
56 Correct 52 ms 15228 KB Output is correct
57 Correct 52 ms 15352 KB Output is correct
58 Correct 53 ms 15092 KB Output is correct
59 Correct 54 ms 15332 KB Output is correct
60 Correct 62 ms 15348 KB Output is correct
61 Correct 52 ms 15192 KB Output is correct
62 Correct 62 ms 15352 KB Output is correct
63 Correct 61 ms 15168 KB Output is correct
64 Correct 46 ms 15176 KB Output is correct
65 Correct 57 ms 15352 KB Output is correct
66 Correct 68 ms 15352 KB Output is correct
67 Correct 66 ms 15384 KB Output is correct
68 Correct 58 ms 15364 KB Output is correct
69 Correct 57 ms 15204 KB Output is correct
70 Correct 58 ms 15348 KB Output is correct
71 Correct 312 ms 27400 KB Output is correct
72 Correct 313 ms 27472 KB Output is correct
73 Correct 418 ms 26004 KB Output is correct
74 Correct 614 ms 26296 KB Output is correct
75 Correct 325 ms 28320 KB Output is correct
76 Correct 586 ms 26592 KB Output is correct
77 Correct 567 ms 18344 KB Output is correct
78 Correct 232 ms 21900 KB Output is correct
79 Correct 316 ms 15860 KB Output is correct
80 Correct 353 ms 18888 KB Output is correct
81 Correct 390 ms 18792 KB Output is correct
82 Correct 603 ms 17768 KB Output is correct
83 Correct 335 ms 17012 KB Output is correct
84 Correct 689 ms 17844 KB Output is correct
85 Correct 585 ms 18124 KB Output is correct
86 Correct 244 ms 15884 KB Output is correct
87 Correct 325 ms 18856 KB Output is correct
88 Correct 311 ms 15888 KB Output is correct
89 Correct 394 ms 17752 KB Output is correct
90 Correct 434 ms 18152 KB Output is correct
91 Correct 344 ms 16960 KB Output is correct
92 Correct 658 ms 18236 KB Output is correct
93 Correct 621 ms 18140 KB Output is correct
94 Correct 207 ms 15720 KB Output is correct
95 Correct 451 ms 17908 KB Output is correct
96 Correct 547 ms 17920 KB Output is correct
97 Correct 447 ms 18040 KB Output is correct
98 Correct 553 ms 17996 KB Output is correct
99 Correct 527 ms 18012 KB Output is correct
100 Correct 465 ms 17912 KB Output is correct