#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp> // Common file
// #include <ext/pb_ds/tree_policy.hpp> // Including tree_order_statistics_node_update
using namespace std;
// using namespace __gnu_pbds;
#define fileIO(name) if(fopen(name".inp", "r")) {freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout);}
#define SPEED ios_base :: sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define EL cout << '\n'
#define dbg(x) cout << #x << " = " << (x) << ' '
#define dbgp(x) cout << #x << " = (" << (x.fi) << ", " << (x.se) << ") "
#define dbga(x, l, r) {cout << #x << '[' << l << ", " << r << "] = { "; for(int i = l; i <= (int)r; ++i) cout << x[i] << ' '; cout << "} ";}
#define epl emplace
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define mp make_pair
#define sqr(x) ((x) * (x))
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define lwb lower_bound
#define upb upper_bound
#define clz __builtin_clzll // or __builtin_clz
#define ctz __builtin_ctzll // or __builtin_ctz
#define pct __builtin_popcountll // or __builtin_popcount
typedef long long ll;
typedef long double ldb;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef pair<ll, ll> pll;
typedef pair<ll, int> pli;
typedef pair<int, ll> pil;
typedef pair<int, int> pii;
typedef pair<ldb, ldb> pld;
typedef pair<double, double> pdd;
template<class T1, class T2> bool minimize(T1 &a, T2 b){return a > b ? a = b, true : false;}
template<class T1, class T2> bool maximize(T1 &a, T2 b){return a < b ? a = b, true : false;}
template<class T> void remDup(vector<T> &v){sort(all(v)); v.erase(unique(all(v)),v.end());}
// int d4x[4] = {1, 0, -1, 0}, d8x[8] = {0, 1, 1, 1, 0, -1, -1, -1};
// int d4y[4] = {0, 1, 0, -1}, d8y[8] = {1, 1, 0, -1, -1, -1, 0, 1};
// typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
// typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_multiset;
const int N = 20, Q = 1e6 + 3;
int n, q, sz[1 << N];
ll dp1[1 << N], dp2[1 << N], a[1 << N];
void TS_2392(){
cin >> n >> q;
for(int i = 0; i < (1 << n); ++i){
char c; cin >> c;
sz[i] = pct(i);
dp1[i] = dp2[i] = a[i] = c - '0';
}
for(int i = 0; i < n; ++i){
for(int mask = 0; mask < 1 << n; ++ mask){
if(mask >> i & 1){
dp1[mask] += dp1[mask ^ (1 << i)];
}
else{
dp2[mask] += dp2[mask ^ (1 << i)];
}
}
}
while(q--){
string s; cin >> s; reverse(all(s));
int cnt0 = 0, cnt1 = 0, cnt_qm = 0;
for(int i = 0; i < n; ++i){
if(s[i] == '0') ++cnt0;
if(s[i] == '1') ++cnt1;
if(s[i] == '?') ++cnt_qm;
}
//dbg(s); EL;
if(cnt0 <= 6){
int mask1 = 0, mask2 = 0;
for(int i = 0; i < n; ++i){
if(s[i] == '1') mask1 ^= 1 << i;
if(s[i] == '0') mask2 ^= 1 << i;
}
//dbg(bitset<4>(mask1)); EL;
//dbg(bitset<4>(mask2)); EL;
ll res = 0;
for(int x = mask2, i = 1; i <= (1 << sz[mask2]); x = (x - 1) & mask2, ++i){
int cur = (x ^ mask2);
//dbg(mask1 ^ cur); dbg(dp2[mask1 ^ cur]); EL;
if(sz[cur] & 1) res -= dp2[mask1 ^ cur];
else res += dp2[mask1 ^ cur];
}
cout << res << '\n';
}
else if(cnt1 <= 6){
int mask1 = 0, mask2 = 0;
for(int i = 0; i < n; ++i){
if(s[i] == '?') mask1 ^= 1 << i;
if(s[i] == '1') mask2 ^= 1 << i, mask1 ^= 1 << i;
}
ll res = 0;
for(int x = mask2, i = 1; i <= (1 << sz[mask2]); x = (x - 1) & mask2, ++i){
int cur = x;
if(sz[mask2 ^ cur] & 1) res -= dp1[mask1 ^ mask2 ^ cur];
else res += dp1[mask1 ^ mask2 ^ cur];
}
cout << res << '\n';
}
else{
int mask1 = 0, mask2 = 0;
for(int i = 0; i < n; ++i){
if(s[i] == '1') mask1 ^= 1 << i;
if(s[i] == '?') mask2 ^= 1 << i;
}
ll res = 0;
for(int x = mask2, i = 1; i <= (1 << sz[mask2]); x = (x - 1) & mask2, ++i){
res += a[mask1 ^ x];
}
cout << res << '\n';
}
}
}
int main(){
SPEED; fileIO("text");
int numtest = 1; //cin >> numtest;
for(int itest = 1; itest <= numtest; ++itest){
// cout << "Case #" << itest << ": ";
TS_2392();
}
return 0;
}
/* stuff you should look for
* keep calm, don't panic
* int overflow, array bounds
* small cases, special cases (n = 1, 2 x 2 matrix, tree with n - 1 leafs, ...)
* GUESS, fix something, lower bound or upper bound for the problem
* do something instead of nothing: code bruteforce, ...
* WRITE STUFF DOWN and STAY ORGANIZED
* DON'T GET STUCK ON ONE APPROACH
*/
Compilation message
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:8:58: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
8 | #define fileIO(name) if(fopen(name".inp", "r")) {freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
snake_escaping.cpp:127:12: note: in expansion of macro 'fileIO'
127 | SPEED; fileIO("text");
| ^~~~~~
snake_escaping.cpp:8:91: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
8 | #define fileIO(name) if(fopen(name".inp", "r")) {freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
snake_escaping.cpp:127:12: note: in expansion of macro 'fileIO'
127 | SPEED; fileIO("text");
| ^~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
2 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
2 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
174 ms |
21332 KB |
Output is correct |
12 |
Correct |
224 ms |
21240 KB |
Output is correct |
13 |
Correct |
241 ms |
20316 KB |
Output is correct |
14 |
Correct |
209 ms |
20272 KB |
Output is correct |
15 |
Correct |
181 ms |
21296 KB |
Output is correct |
16 |
Correct |
220 ms |
20560 KB |
Output is correct |
17 |
Correct |
227 ms |
20464 KB |
Output is correct |
18 |
Correct |
146 ms |
22160 KB |
Output is correct |
19 |
Correct |
212 ms |
19280 KB |
Output is correct |
20 |
Correct |
183 ms |
20824 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
2 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
174 ms |
21332 KB |
Output is correct |
12 |
Correct |
224 ms |
21240 KB |
Output is correct |
13 |
Correct |
241 ms |
20316 KB |
Output is correct |
14 |
Correct |
209 ms |
20272 KB |
Output is correct |
15 |
Correct |
181 ms |
21296 KB |
Output is correct |
16 |
Correct |
220 ms |
20560 KB |
Output is correct |
17 |
Correct |
227 ms |
20464 KB |
Output is correct |
18 |
Correct |
146 ms |
22160 KB |
Output is correct |
19 |
Correct |
212 ms |
19280 KB |
Output is correct |
20 |
Correct |
183 ms |
20824 KB |
Output is correct |
21 |
Correct |
196 ms |
24284 KB |
Output is correct |
22 |
Correct |
261 ms |
24404 KB |
Output is correct |
23 |
Correct |
326 ms |
23372 KB |
Output is correct |
24 |
Correct |
268 ms |
23312 KB |
Output is correct |
25 |
Correct |
216 ms |
25348 KB |
Output is correct |
26 |
Correct |
257 ms |
23892 KB |
Output is correct |
27 |
Correct |
281 ms |
23636 KB |
Output is correct |
28 |
Correct |
156 ms |
26192 KB |
Output is correct |
29 |
Correct |
316 ms |
22232 KB |
Output is correct |
30 |
Correct |
205 ms |
24460 KB |
Output is correct |
31 |
Correct |
245 ms |
24376 KB |
Output is correct |
32 |
Correct |
327 ms |
24380 KB |
Output is correct |
33 |
Correct |
228 ms |
23084 KB |
Output is correct |
34 |
Correct |
286 ms |
23632 KB |
Output is correct |
35 |
Correct |
299 ms |
23632 KB |
Output is correct |
36 |
Correct |
150 ms |
22220 KB |
Output is correct |
37 |
Correct |
235 ms |
24152 KB |
Output is correct |
38 |
Correct |
318 ms |
22420 KB |
Output is correct |
39 |
Correct |
265 ms |
23408 KB |
Output is correct |
40 |
Correct |
251 ms |
23288 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
2 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
47 ms |
31316 KB |
Output is correct |
12 |
Correct |
50 ms |
31364 KB |
Output is correct |
13 |
Correct |
62 ms |
31312 KB |
Output is correct |
14 |
Correct |
58 ms |
31352 KB |
Output is correct |
15 |
Correct |
51 ms |
31312 KB |
Output is correct |
16 |
Correct |
60 ms |
31384 KB |
Output is correct |
17 |
Correct |
68 ms |
31316 KB |
Output is correct |
18 |
Correct |
43 ms |
31568 KB |
Output is correct |
19 |
Correct |
52 ms |
31120 KB |
Output is correct |
20 |
Correct |
47 ms |
31320 KB |
Output is correct |
21 |
Correct |
54 ms |
31312 KB |
Output is correct |
22 |
Correct |
57 ms |
31196 KB |
Output is correct |
23 |
Correct |
49 ms |
31320 KB |
Output is correct |
24 |
Correct |
70 ms |
31396 KB |
Output is correct |
25 |
Correct |
75 ms |
31416 KB |
Output is correct |
26 |
Correct |
41 ms |
31196 KB |
Output is correct |
27 |
Correct |
50 ms |
31468 KB |
Output is correct |
28 |
Correct |
58 ms |
31116 KB |
Output is correct |
29 |
Correct |
52 ms |
31312 KB |
Output is correct |
30 |
Correct |
58 ms |
31416 KB |
Output is correct |
31 |
Correct |
50 ms |
31232 KB |
Output is correct |
32 |
Correct |
68 ms |
31212 KB |
Output is correct |
33 |
Correct |
66 ms |
31316 KB |
Output is correct |
34 |
Correct |
40 ms |
31312 KB |
Output is correct |
35 |
Correct |
59 ms |
31260 KB |
Output is correct |
36 |
Correct |
61 ms |
31200 KB |
Output is correct |
37 |
Correct |
59 ms |
31236 KB |
Output is correct |
38 |
Correct |
64 ms |
31200 KB |
Output is correct |
39 |
Correct |
61 ms |
31196 KB |
Output is correct |
40 |
Correct |
63 ms |
31316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
2 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
174 ms |
21332 KB |
Output is correct |
12 |
Correct |
224 ms |
21240 KB |
Output is correct |
13 |
Correct |
241 ms |
20316 KB |
Output is correct |
14 |
Correct |
209 ms |
20272 KB |
Output is correct |
15 |
Correct |
181 ms |
21296 KB |
Output is correct |
16 |
Correct |
220 ms |
20560 KB |
Output is correct |
17 |
Correct |
227 ms |
20464 KB |
Output is correct |
18 |
Correct |
146 ms |
22160 KB |
Output is correct |
19 |
Correct |
212 ms |
19280 KB |
Output is correct |
20 |
Correct |
183 ms |
20824 KB |
Output is correct |
21 |
Correct |
196 ms |
24284 KB |
Output is correct |
22 |
Correct |
261 ms |
24404 KB |
Output is correct |
23 |
Correct |
326 ms |
23372 KB |
Output is correct |
24 |
Correct |
268 ms |
23312 KB |
Output is correct |
25 |
Correct |
216 ms |
25348 KB |
Output is correct |
26 |
Correct |
257 ms |
23892 KB |
Output is correct |
27 |
Correct |
281 ms |
23636 KB |
Output is correct |
28 |
Correct |
156 ms |
26192 KB |
Output is correct |
29 |
Correct |
316 ms |
22232 KB |
Output is correct |
30 |
Correct |
205 ms |
24460 KB |
Output is correct |
31 |
Correct |
245 ms |
24376 KB |
Output is correct |
32 |
Correct |
327 ms |
24380 KB |
Output is correct |
33 |
Correct |
228 ms |
23084 KB |
Output is correct |
34 |
Correct |
286 ms |
23632 KB |
Output is correct |
35 |
Correct |
299 ms |
23632 KB |
Output is correct |
36 |
Correct |
150 ms |
22220 KB |
Output is correct |
37 |
Correct |
235 ms |
24152 KB |
Output is correct |
38 |
Correct |
318 ms |
22420 KB |
Output is correct |
39 |
Correct |
265 ms |
23408 KB |
Output is correct |
40 |
Correct |
251 ms |
23288 KB |
Output is correct |
41 |
Correct |
47 ms |
31316 KB |
Output is correct |
42 |
Correct |
50 ms |
31364 KB |
Output is correct |
43 |
Correct |
62 ms |
31312 KB |
Output is correct |
44 |
Correct |
58 ms |
31352 KB |
Output is correct |
45 |
Correct |
51 ms |
31312 KB |
Output is correct |
46 |
Correct |
60 ms |
31384 KB |
Output is correct |
47 |
Correct |
68 ms |
31316 KB |
Output is correct |
48 |
Correct |
43 ms |
31568 KB |
Output is correct |
49 |
Correct |
52 ms |
31120 KB |
Output is correct |
50 |
Correct |
47 ms |
31320 KB |
Output is correct |
51 |
Correct |
54 ms |
31312 KB |
Output is correct |
52 |
Correct |
57 ms |
31196 KB |
Output is correct |
53 |
Correct |
49 ms |
31320 KB |
Output is correct |
54 |
Correct |
70 ms |
31396 KB |
Output is correct |
55 |
Correct |
75 ms |
31416 KB |
Output is correct |
56 |
Correct |
41 ms |
31196 KB |
Output is correct |
57 |
Correct |
50 ms |
31468 KB |
Output is correct |
58 |
Correct |
58 ms |
31116 KB |
Output is correct |
59 |
Correct |
52 ms |
31312 KB |
Output is correct |
60 |
Correct |
58 ms |
31416 KB |
Output is correct |
61 |
Correct |
50 ms |
31232 KB |
Output is correct |
62 |
Correct |
68 ms |
31212 KB |
Output is correct |
63 |
Correct |
66 ms |
31316 KB |
Output is correct |
64 |
Correct |
40 ms |
31312 KB |
Output is correct |
65 |
Correct |
59 ms |
31260 KB |
Output is correct |
66 |
Correct |
61 ms |
31200 KB |
Output is correct |
67 |
Correct |
59 ms |
31236 KB |
Output is correct |
68 |
Correct |
64 ms |
31200 KB |
Output is correct |
69 |
Correct |
61 ms |
31196 KB |
Output is correct |
70 |
Correct |
63 ms |
31316 KB |
Output is correct |
71 |
Correct |
319 ms |
55636 KB |
Output is correct |
72 |
Correct |
406 ms |
55860 KB |
Output is correct |
73 |
Correct |
485 ms |
54768 KB |
Output is correct |
74 |
Correct |
546 ms |
54672 KB |
Output is correct |
75 |
Correct |
338 ms |
56656 KB |
Output is correct |
76 |
Correct |
495 ms |
54908 KB |
Output is correct |
77 |
Correct |
747 ms |
54804 KB |
Output is correct |
78 |
Correct |
243 ms |
58752 KB |
Output is correct |
79 |
Correct |
400 ms |
53224 KB |
Output is correct |
80 |
Correct |
328 ms |
55820 KB |
Output is correct |
81 |
Correct |
429 ms |
55604 KB |
Output is correct |
82 |
Correct |
489 ms |
54740 KB |
Output is correct |
83 |
Correct |
365 ms |
53844 KB |
Output is correct |
84 |
Correct |
788 ms |
54636 KB |
Output is correct |
85 |
Correct |
690 ms |
54784 KB |
Output is correct |
86 |
Correct |
213 ms |
52680 KB |
Output is correct |
87 |
Correct |
380 ms |
55632 KB |
Output is correct |
88 |
Correct |
416 ms |
52564 KB |
Output is correct |
89 |
Correct |
450 ms |
54284 KB |
Output is correct |
90 |
Correct |
460 ms |
55176 KB |
Output is correct |
91 |
Correct |
395 ms |
53820 KB |
Output is correct |
92 |
Correct |
690 ms |
55072 KB |
Output is correct |
93 |
Correct |
703 ms |
55072 KB |
Output is correct |
94 |
Correct |
225 ms |
52548 KB |
Output is correct |
95 |
Correct |
595 ms |
54864 KB |
Output is correct |
96 |
Correct |
590 ms |
54612 KB |
Output is correct |
97 |
Correct |
587 ms |
54852 KB |
Output is correct |
98 |
Correct |
582 ms |
54612 KB |
Output is correct |
99 |
Correct |
612 ms |
54628 KB |
Output is correct |
100 |
Correct |
594 ms |
54736 KB |
Output is correct |