#include <bits/stdc++.h>
#define ll long long
#define pii pair<ll, ll>
#define st first
#define nd second
#define file "test"
#define rep(i, begin, end) for (ll i = (begin); i <= (end); i ++)
#define rrep(i, begin, end) for (ll i = (begin); i >= (end); i --)
using namespace std;
const long long INF = 1e18;
const long long N = 2e6 + 5;
int a[N], L, q, n;
ll dp[2][N];
// dp[bit][mask] = sum of mask such bit on = bit
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifndef ONLINE_JUDGE
//freopen(file".inp", "r", stdin); freopen(file".out", "w", stdout);
#endif
cin >> L >> q;
n = 1 << L;
rep(i, 0, n - 1) {
char ch; cin >> ch;
a[i] = ch - '0';
}
rep(bit, 0, 1) {
rep(mask, 0, n - 1) dp[bit][mask] = a[bit == 0 ? (n - 1 - mask) : mask];
rep(i, 0, L - 1) rep(mask, 0, n - 1)
if (mask >> i & 1)
dp[bit][mask] += dp[bit][mask ^ (1 << i)];
// rep(mask, 0, n - 1)
//cout << bit << ' ' << mask << ": " << dp[bit][mask] << '\n';
}
//return 0;
string s;
while (q --) {
int na = 0, nb = 0, nc = 0, ma = 0, mb = 0, mc = 0;
cin >> s;
reverse(s.begin(), s.end());
rep(i, 0, L - 1) {
if (s[i] == '1') {
na ++; ma ^= 1 << i;
}
if (s[i] == '0') {
nb ++; mb ^= 1 << i;
}
if (s[i] == '?') {
nc ++; mc ^= 1 << i;
}
}
if (nc <= na && nc <= nb) {
ll ans = 0;
for (int i = mc; ; i = (i - 1) & mc) {
ans += a[i ^ ma];
if (i == 0) break;
}
cout << ans << '\n';
} else {
int bit = 1, mask = ma, other = mb;
if (nb < na) {
bit = 0;
mask = mb;
other = ma;
}
// if (bit == 0) mc ^= (n - 1) ^ m;
ll ans = 0;
int bb = __builtin_popcount(mask) & 1;
for (int i = mask; ; i = (i - 1) & mask) {
if ((__builtin_popcount(i) & 1) == bb) {
ans += dp[bit][i ^ mc];;
}
else {
ans -= dp[bit][i ^ mc];
}
if (i == 0) break;
}
cout << ans << '\n';
}
}
return 0;
}
/** /\_/\
* (= ._.)
* / >🍵 \>🍮
3 case
cnt 0 min
cnt 1 min
cnt ? min
-> handle each case in 2^cnt, cnt <= L / 3 -> O(q * 2 ^ (L / 3));
**/
Compilation message
snake_escaping.cpp:101:9: warning: "/*" within comment [-Wcomment]
101 | /** /\_/\
|
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:74:37: warning: variable 'other' set but not used [-Wunused-but-set-variable]
74 | int bit = 1, mask = ma, other = mb;
| ^~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 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 |
332 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 |
336 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 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 |
332 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 |
336 KB |
Output is correct |
11 |
Correct |
205 ms |
5016 KB |
Output is correct |
12 |
Correct |
207 ms |
4676 KB |
Output is correct |
13 |
Correct |
217 ms |
3928 KB |
Output is correct |
14 |
Correct |
224 ms |
4060 KB |
Output is correct |
15 |
Correct |
202 ms |
5160 KB |
Output is correct |
16 |
Correct |
233 ms |
4268 KB |
Output is correct |
17 |
Correct |
241 ms |
4240 KB |
Output is correct |
18 |
Correct |
155 ms |
6092 KB |
Output is correct |
19 |
Correct |
182 ms |
3076 KB |
Output is correct |
20 |
Correct |
199 ms |
4676 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 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 |
332 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 |
336 KB |
Output is correct |
11 |
Correct |
205 ms |
5016 KB |
Output is correct |
12 |
Correct |
207 ms |
4676 KB |
Output is correct |
13 |
Correct |
217 ms |
3928 KB |
Output is correct |
14 |
Correct |
224 ms |
4060 KB |
Output is correct |
15 |
Correct |
202 ms |
5160 KB |
Output is correct |
16 |
Correct |
233 ms |
4268 KB |
Output is correct |
17 |
Correct |
241 ms |
4240 KB |
Output is correct |
18 |
Correct |
155 ms |
6092 KB |
Output is correct |
19 |
Correct |
182 ms |
3076 KB |
Output is correct |
20 |
Correct |
199 ms |
4676 KB |
Output is correct |
21 |
Correct |
234 ms |
5268 KB |
Output is correct |
22 |
Correct |
237 ms |
5520 KB |
Output is correct |
23 |
Correct |
249 ms |
4420 KB |
Output is correct |
24 |
Correct |
250 ms |
4180 KB |
Output is correct |
25 |
Correct |
230 ms |
6272 KB |
Output is correct |
26 |
Correct |
288 ms |
4680 KB |
Output is correct |
27 |
Correct |
267 ms |
4668 KB |
Output is correct |
28 |
Correct |
176 ms |
7692 KB |
Output is correct |
29 |
Correct |
198 ms |
3220 KB |
Output is correct |
30 |
Correct |
214 ms |
5524 KB |
Output is correct |
31 |
Correct |
269 ms |
5172 KB |
Output is correct |
32 |
Correct |
283 ms |
5268 KB |
Output is correct |
33 |
Correct |
246 ms |
4260 KB |
Output is correct |
34 |
Correct |
267 ms |
4172 KB |
Output is correct |
35 |
Correct |
301 ms |
4680 KB |
Output is correct |
36 |
Correct |
140 ms |
3148 KB |
Output is correct |
37 |
Correct |
208 ms |
5452 KB |
Output is correct |
38 |
Correct |
205 ms |
3052 KB |
Output is correct |
39 |
Correct |
258 ms |
3808 KB |
Output is correct |
40 |
Correct |
248 ms |
3444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 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 |
332 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 |
336 KB |
Output is correct |
11 |
Correct |
81 ms |
21248 KB |
Output is correct |
12 |
Correct |
75 ms |
21080 KB |
Output is correct |
13 |
Correct |
79 ms |
20972 KB |
Output is correct |
14 |
Correct |
103 ms |
20992 KB |
Output is correct |
15 |
Correct |
86 ms |
21196 KB |
Output is correct |
16 |
Correct |
117 ms |
20984 KB |
Output is correct |
17 |
Correct |
117 ms |
21076 KB |
Output is correct |
18 |
Correct |
67 ms |
21196 KB |
Output is correct |
19 |
Correct |
75 ms |
20836 KB |
Output is correct |
20 |
Correct |
106 ms |
21084 KB |
Output is correct |
21 |
Correct |
85 ms |
21096 KB |
Output is correct |
22 |
Correct |
100 ms |
21032 KB |
Output is correct |
23 |
Correct |
77 ms |
20948 KB |
Output is correct |
24 |
Correct |
101 ms |
20988 KB |
Output is correct |
25 |
Correct |
97 ms |
20980 KB |
Output is correct |
26 |
Correct |
72 ms |
20840 KB |
Output is correct |
27 |
Correct |
77 ms |
21076 KB |
Output is correct |
28 |
Correct |
98 ms |
20844 KB |
Output is correct |
29 |
Correct |
90 ms |
20912 KB |
Output is correct |
30 |
Correct |
84 ms |
20968 KB |
Output is correct |
31 |
Correct |
77 ms |
20960 KB |
Output is correct |
32 |
Correct |
117 ms |
21120 KB |
Output is correct |
33 |
Correct |
96 ms |
20964 KB |
Output is correct |
34 |
Correct |
68 ms |
20840 KB |
Output is correct |
35 |
Correct |
102 ms |
20952 KB |
Output is correct |
36 |
Correct |
91 ms |
20968 KB |
Output is correct |
37 |
Correct |
91 ms |
20976 KB |
Output is correct |
38 |
Correct |
86 ms |
20944 KB |
Output is correct |
39 |
Correct |
93 ms |
20972 KB |
Output is correct |
40 |
Correct |
113 ms |
21028 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 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 |
332 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 |
336 KB |
Output is correct |
11 |
Correct |
205 ms |
5016 KB |
Output is correct |
12 |
Correct |
207 ms |
4676 KB |
Output is correct |
13 |
Correct |
217 ms |
3928 KB |
Output is correct |
14 |
Correct |
224 ms |
4060 KB |
Output is correct |
15 |
Correct |
202 ms |
5160 KB |
Output is correct |
16 |
Correct |
233 ms |
4268 KB |
Output is correct |
17 |
Correct |
241 ms |
4240 KB |
Output is correct |
18 |
Correct |
155 ms |
6092 KB |
Output is correct |
19 |
Correct |
182 ms |
3076 KB |
Output is correct |
20 |
Correct |
199 ms |
4676 KB |
Output is correct |
21 |
Correct |
234 ms |
5268 KB |
Output is correct |
22 |
Correct |
237 ms |
5520 KB |
Output is correct |
23 |
Correct |
249 ms |
4420 KB |
Output is correct |
24 |
Correct |
250 ms |
4180 KB |
Output is correct |
25 |
Correct |
230 ms |
6272 KB |
Output is correct |
26 |
Correct |
288 ms |
4680 KB |
Output is correct |
27 |
Correct |
267 ms |
4668 KB |
Output is correct |
28 |
Correct |
176 ms |
7692 KB |
Output is correct |
29 |
Correct |
198 ms |
3220 KB |
Output is correct |
30 |
Correct |
214 ms |
5524 KB |
Output is correct |
31 |
Correct |
269 ms |
5172 KB |
Output is correct |
32 |
Correct |
283 ms |
5268 KB |
Output is correct |
33 |
Correct |
246 ms |
4260 KB |
Output is correct |
34 |
Correct |
267 ms |
4172 KB |
Output is correct |
35 |
Correct |
301 ms |
4680 KB |
Output is correct |
36 |
Correct |
140 ms |
3148 KB |
Output is correct |
37 |
Correct |
208 ms |
5452 KB |
Output is correct |
38 |
Correct |
205 ms |
3052 KB |
Output is correct |
39 |
Correct |
258 ms |
3808 KB |
Output is correct |
40 |
Correct |
248 ms |
3444 KB |
Output is correct |
41 |
Correct |
81 ms |
21248 KB |
Output is correct |
42 |
Correct |
75 ms |
21080 KB |
Output is correct |
43 |
Correct |
79 ms |
20972 KB |
Output is correct |
44 |
Correct |
103 ms |
20992 KB |
Output is correct |
45 |
Correct |
86 ms |
21196 KB |
Output is correct |
46 |
Correct |
117 ms |
20984 KB |
Output is correct |
47 |
Correct |
117 ms |
21076 KB |
Output is correct |
48 |
Correct |
67 ms |
21196 KB |
Output is correct |
49 |
Correct |
75 ms |
20836 KB |
Output is correct |
50 |
Correct |
106 ms |
21084 KB |
Output is correct |
51 |
Correct |
85 ms |
21096 KB |
Output is correct |
52 |
Correct |
100 ms |
21032 KB |
Output is correct |
53 |
Correct |
77 ms |
20948 KB |
Output is correct |
54 |
Correct |
101 ms |
20988 KB |
Output is correct |
55 |
Correct |
97 ms |
20980 KB |
Output is correct |
56 |
Correct |
72 ms |
20840 KB |
Output is correct |
57 |
Correct |
77 ms |
21076 KB |
Output is correct |
58 |
Correct |
98 ms |
20844 KB |
Output is correct |
59 |
Correct |
90 ms |
20912 KB |
Output is correct |
60 |
Correct |
84 ms |
20968 KB |
Output is correct |
61 |
Correct |
77 ms |
20960 KB |
Output is correct |
62 |
Correct |
117 ms |
21120 KB |
Output is correct |
63 |
Correct |
96 ms |
20964 KB |
Output is correct |
64 |
Correct |
68 ms |
20840 KB |
Output is correct |
65 |
Correct |
102 ms |
20952 KB |
Output is correct |
66 |
Correct |
91 ms |
20968 KB |
Output is correct |
67 |
Correct |
91 ms |
20976 KB |
Output is correct |
68 |
Correct |
86 ms |
20944 KB |
Output is correct |
69 |
Correct |
93 ms |
20972 KB |
Output is correct |
70 |
Correct |
113 ms |
21028 KB |
Output is correct |
71 |
Correct |
355 ms |
39116 KB |
Output is correct |
72 |
Correct |
400 ms |
47524 KB |
Output is correct |
73 |
Correct |
514 ms |
46124 KB |
Output is correct |
74 |
Correct |
980 ms |
46368 KB |
Output is correct |
75 |
Correct |
468 ms |
48396 KB |
Output is correct |
76 |
Correct |
1119 ms |
46776 KB |
Output is correct |
77 |
Correct |
822 ms |
46540 KB |
Output is correct |
78 |
Correct |
255 ms |
50504 KB |
Output is correct |
79 |
Correct |
359 ms |
44388 KB |
Output is correct |
80 |
Correct |
376 ms |
47436 KB |
Output is correct |
81 |
Correct |
601 ms |
47296 KB |
Output is correct |
82 |
Correct |
1061 ms |
46432 KB |
Output is correct |
83 |
Correct |
407 ms |
45540 KB |
Output is correct |
84 |
Correct |
771 ms |
46288 KB |
Output is correct |
85 |
Correct |
847 ms |
46588 KB |
Output is correct |
86 |
Correct |
250 ms |
44328 KB |
Output is correct |
87 |
Correct |
380 ms |
47420 KB |
Output is correct |
88 |
Correct |
358 ms |
44376 KB |
Output is correct |
89 |
Correct |
545 ms |
46040 KB |
Output is correct |
90 |
Correct |
487 ms |
46316 KB |
Output is correct |
91 |
Correct |
396 ms |
45696 KB |
Output is correct |
92 |
Correct |
990 ms |
46780 KB |
Output is correct |
93 |
Correct |
833 ms |
46740 KB |
Output is correct |
94 |
Correct |
258 ms |
44384 KB |
Output is correct |
95 |
Correct |
688 ms |
46592 KB |
Output is correct |
96 |
Correct |
669 ms |
46516 KB |
Output is correct |
97 |
Correct |
682 ms |
46436 KB |
Output is correct |
98 |
Correct |
688 ms |
46400 KB |
Output is correct |
99 |
Correct |
748 ms |
46484 KB |
Output is correct |
100 |
Correct |
698 ms |
46392 KB |
Output is correct |