Submission #604251

# Submission time Handle Problem Language Result Execution time Memory
604251 2022-07-24T23:56:46 Z Asymmetry Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
1160 ms 42168 KB
#include<bits/stdc++.h>
using namespace std;
using LL=long long;
#define FOR(i,l,r) for(int i=(l);i<=(r);++i)
#define REP(i,n) FOR(i,0,(n)-1)
#define ssize(x) int(x.size())

int main() {
	cin.tie(0)->sync_with_stdio(0);
	int L, Q;
	cin >> L >> Q;
	vector<int> t(1 << L);
	for (int &i : t) {
		char c;
		cin >> c;
		i = c - '0';
	}
	auto r = t;
	REP (i, 1 << L) {
		if (i < (i ^ ((1 << L) - 1))) {
			swap(r[i], r[i ^ ((1 << L) - 1)]);
		}
	}

	auto SOS = [&](vector<int> &v) {
		REP (i, L) {
			REP (j, 1 << L) {
				if (j & (1 << i)) {
					v[j] += v[j ^ (1 << i)];
				}
			}
		}
	};
	
	auto v = t;
	SOS(v);
	SOS(r);
	
	map<char, int> mp;
	mp['0'] = 0;
	mp['1'] = 1;
	mp['?'] = 2;
	REP (i, Q) {
		vector<char> w(L);
		vector<int> z(3);
		for (char &j : w) {
			cin >> j;
			++z[mp[j]];
		}
		reverse(w.begin(), w.end());
		if (z[0] <= z[1] && z[0] <= z[2]) {
			int odp = 0, bas = 0, msk = 0;
			REP (j, L) {
				if (w[j] == '?') {
					bas ^= 1 << j;
				}
				else if (w[j] == '0') {
					msk ^= 1 << j;
				}
			}
			for (int j = msk; j; j = (j - 1) & msk) {
				if (__builtin_parity(msk ^ j)) {
					odp -= r[j ^ bas];
				}
				else {
					odp += r[j ^ bas];
				}
			}
			cout << odp + (__builtin_parity(msk) ? -r[bas] : r[bas]) << '\n';
		}
		else if (z[1] <= z[0] && z[1] <= z[2]) {
			int odp = 0, bas = 0, msk = 0;
			REP (j, L) {
				if (w[j] == '?') {
					bas ^= 1 << j;
				}
				else if (w[j] == '1') {
					msk ^= 1 << j;
				}
			}
			for (int j = msk; j; j = (j - 1) & msk) {
				if (__builtin_parity(msk ^ j)) {
					odp -= v[j ^ bas];
				}
				else {
					odp += v[j ^ bas];
				}
			}
			cout << odp + (__builtin_parity(msk) ? -v[bas] : v[bas]) << '\n';
		}
		else {
			int odp = 0, bas = 0, msk = 0;
			REP (j, L) {
				if (w[j] == '?') {
					msk ^= 1 << j;
				}
				else if (w[j] == '1') {
					bas ^= 1 << j;
				}
			}
			for (int j = msk; j; j = (j - 1) & msk) {
				odp += t[bas ^ j];
			}
			cout << odp + t[bas] << '\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 212 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 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 399 ms 15052 KB Output is correct
12 Correct 407 ms 14672 KB Output is correct
13 Correct 378 ms 13900 KB Output is correct
14 Correct 420 ms 14100 KB Output is correct
15 Correct 435 ms 14996 KB Output is correct
16 Correct 437 ms 14268 KB Output is correct
17 Correct 480 ms 14368 KB Output is correct
18 Correct 353 ms 16104 KB Output is correct
19 Correct 366 ms 13136 KB Output is correct
20 Correct 382 ms 14664 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 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 399 ms 15052 KB Output is correct
12 Correct 407 ms 14672 KB Output is correct
13 Correct 378 ms 13900 KB Output is correct
14 Correct 420 ms 14100 KB Output is correct
15 Correct 435 ms 14996 KB Output is correct
16 Correct 437 ms 14268 KB Output is correct
17 Correct 480 ms 14368 KB Output is correct
18 Correct 353 ms 16104 KB Output is correct
19 Correct 366 ms 13136 KB Output is correct
20 Correct 382 ms 14664 KB Output is correct
21 Correct 475 ms 18096 KB Output is correct
22 Correct 506 ms 18284 KB Output is correct
23 Correct 470 ms 17328 KB Output is correct
24 Correct 517 ms 17076 KB Output is correct
25 Correct 532 ms 19116 KB Output is correct
26 Correct 521 ms 17628 KB Output is correct
27 Correct 497 ms 17468 KB Output is correct
28 Correct 395 ms 20136 KB Output is correct
29 Correct 436 ms 16036 KB Output is correct
30 Correct 478 ms 18240 KB Output is correct
31 Correct 537 ms 18044 KB Output is correct
32 Correct 530 ms 18036 KB Output is correct
33 Correct 446 ms 17000 KB Output is correct
34 Correct 513 ms 17012 KB Output is correct
35 Correct 547 ms 17596 KB Output is correct
36 Correct 338 ms 16064 KB Output is correct
37 Correct 469 ms 18136 KB Output is correct
38 Correct 457 ms 16008 KB Output is correct
39 Correct 475 ms 17308 KB Output is correct
40 Correct 532 ms 17136 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 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 129 ms 14864 KB Output is correct
12 Correct 130 ms 14928 KB Output is correct
13 Correct 128 ms 14844 KB Output is correct
14 Correct 135 ms 14788 KB Output is correct
15 Correct 130 ms 14928 KB Output is correct
16 Correct 149 ms 14796 KB Output is correct
17 Correct 144 ms 14776 KB Output is correct
18 Correct 117 ms 15060 KB Output is correct
19 Correct 124 ms 14676 KB Output is correct
20 Correct 126 ms 14916 KB Output is correct
21 Correct 134 ms 14928 KB Output is correct
22 Correct 139 ms 14892 KB Output is correct
23 Correct 121 ms 14800 KB Output is correct
24 Correct 138 ms 14788 KB Output is correct
25 Correct 141 ms 14928 KB Output is correct
26 Correct 115 ms 14796 KB Output is correct
27 Correct 132 ms 14924 KB Output is correct
28 Correct 120 ms 14672 KB Output is correct
29 Correct 130 ms 14804 KB Output is correct
30 Correct 137 ms 14800 KB Output is correct
31 Correct 121 ms 14796 KB Output is correct
32 Correct 140 ms 14888 KB Output is correct
33 Correct 141 ms 14852 KB Output is correct
34 Correct 115 ms 14676 KB Output is correct
35 Correct 131 ms 14896 KB Output is correct
36 Correct 142 ms 14884 KB Output is correct
37 Correct 138 ms 14808 KB Output is correct
38 Correct 136 ms 14780 KB Output is correct
39 Correct 133 ms 14824 KB Output is correct
40 Correct 133 ms 14828 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 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 399 ms 15052 KB Output is correct
12 Correct 407 ms 14672 KB Output is correct
13 Correct 378 ms 13900 KB Output is correct
14 Correct 420 ms 14100 KB Output is correct
15 Correct 435 ms 14996 KB Output is correct
16 Correct 437 ms 14268 KB Output is correct
17 Correct 480 ms 14368 KB Output is correct
18 Correct 353 ms 16104 KB Output is correct
19 Correct 366 ms 13136 KB Output is correct
20 Correct 382 ms 14664 KB Output is correct
21 Correct 475 ms 18096 KB Output is correct
22 Correct 506 ms 18284 KB Output is correct
23 Correct 470 ms 17328 KB Output is correct
24 Correct 517 ms 17076 KB Output is correct
25 Correct 532 ms 19116 KB Output is correct
26 Correct 521 ms 17628 KB Output is correct
27 Correct 497 ms 17468 KB Output is correct
28 Correct 395 ms 20136 KB Output is correct
29 Correct 436 ms 16036 KB Output is correct
30 Correct 478 ms 18240 KB Output is correct
31 Correct 537 ms 18044 KB Output is correct
32 Correct 530 ms 18036 KB Output is correct
33 Correct 446 ms 17000 KB Output is correct
34 Correct 513 ms 17012 KB Output is correct
35 Correct 547 ms 17596 KB Output is correct
36 Correct 338 ms 16064 KB Output is correct
37 Correct 469 ms 18136 KB Output is correct
38 Correct 457 ms 16008 KB Output is correct
39 Correct 475 ms 17308 KB Output is correct
40 Correct 532 ms 17136 KB Output is correct
41 Correct 129 ms 14864 KB Output is correct
42 Correct 130 ms 14928 KB Output is correct
43 Correct 128 ms 14844 KB Output is correct
44 Correct 135 ms 14788 KB Output is correct
45 Correct 130 ms 14928 KB Output is correct
46 Correct 149 ms 14796 KB Output is correct
47 Correct 144 ms 14776 KB Output is correct
48 Correct 117 ms 15060 KB Output is correct
49 Correct 124 ms 14676 KB Output is correct
50 Correct 126 ms 14916 KB Output is correct
51 Correct 134 ms 14928 KB Output is correct
52 Correct 139 ms 14892 KB Output is correct
53 Correct 121 ms 14800 KB Output is correct
54 Correct 138 ms 14788 KB Output is correct
55 Correct 141 ms 14928 KB Output is correct
56 Correct 115 ms 14796 KB Output is correct
57 Correct 132 ms 14924 KB Output is correct
58 Correct 120 ms 14672 KB Output is correct
59 Correct 130 ms 14804 KB Output is correct
60 Correct 137 ms 14800 KB Output is correct
61 Correct 121 ms 14796 KB Output is correct
62 Correct 140 ms 14888 KB Output is correct
63 Correct 141 ms 14852 KB Output is correct
64 Correct 115 ms 14676 KB Output is correct
65 Correct 131 ms 14896 KB Output is correct
66 Correct 142 ms 14884 KB Output is correct
67 Correct 138 ms 14808 KB Output is correct
68 Correct 136 ms 14780 KB Output is correct
69 Correct 133 ms 14824 KB Output is correct
70 Correct 133 ms 14828 KB Output is correct
71 Correct 764 ms 39216 KB Output is correct
72 Correct 852 ms 39356 KB Output is correct
73 Correct 940 ms 37840 KB Output is correct
74 Correct 1160 ms 38156 KB Output is correct
75 Correct 800 ms 40200 KB Output is correct
76 Correct 1063 ms 38648 KB Output is correct
77 Correct 1113 ms 38316 KB Output is correct
78 Correct 631 ms 42168 KB Output is correct
79 Correct 688 ms 36240 KB Output is correct
80 Correct 767 ms 39372 KB Output is correct
81 Correct 935 ms 39156 KB Output is correct
82 Correct 936 ms 38276 KB Output is correct
83 Correct 698 ms 37296 KB Output is correct
84 Correct 1112 ms 38192 KB Output is correct
85 Correct 1029 ms 38380 KB Output is correct
86 Correct 508 ms 36188 KB Output is correct
87 Correct 768 ms 39232 KB Output is correct
88 Correct 690 ms 36224 KB Output is correct
89 Correct 808 ms 37900 KB Output is correct
90 Correct 840 ms 38172 KB Output is correct
91 Correct 690 ms 37304 KB Output is correct
92 Correct 1085 ms 38460 KB Output is correct
93 Correct 1024 ms 38356 KB Output is correct
94 Correct 560 ms 36188 KB Output is correct
95 Correct 917 ms 38328 KB Output is correct
96 Correct 912 ms 38244 KB Output is correct
97 Correct 933 ms 38232 KB Output is correct
98 Correct 918 ms 38348 KB Output is correct
99 Correct 917 ms 38312 KB Output is correct
100 Correct 915 ms 38268 KB Output is correct