#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
int numSnake, numQuery;
string label;
string s[MASK(20) + 5];
int dp_on[MASK(20) + 5], dp_off[MASK(20) + 5];
void process(void){
cin >> numSnake >> numQuery >> label;
#define cnt(x) __builtin_popcount(x)
for (int mask = 0; mask < MASK(numSnake); ++mask){
dp_on[mask] = label[mask] - '0';
dp_off[(MASK(numSnake) - 1) ^ mask] = label[mask] - '0';
}
for (int i = 0; i < numSnake; ++i){
for (int mask = 0; mask < MASK(numSnake); ++mask) if(!BIT(mask, i)){
dp_on[mask] += dp_on[mask ^ MASK(i)];
dp_off[mask] += dp_off[mask ^ MASK(i)];
}
}
for (int qu = 1; qu <= numQuery; ++qu){
int on = 0, off = 0, ask = 0;
string s; cin >> s;
for (int i = 0; i < numSnake; ++i){
if(s[i] == '1') on |= MASK(numSnake - i - 1);
if(s[i] == '0') off |= MASK(numSnake - i - 1);
if(s[i] == '?') ask |= MASK(numSnake - i - 1);
}
if(cnt(on) <= 6){
int ans = dp_off[off];
for (int sub = on; sub > 0; sub = (sub - 1) & on){
if(cnt(sub) & 1){
ans -= dp_off[sub | off];
}
else{
ans += dp_off[sub | off];
}
}
cout << ans << '\n';
continue;
}
if(cnt(off) <= 6){
int ans = dp_on[on];
for (int sub = off; sub > 0; sub = (sub - 1) & off){
if(cnt(sub) & 1){
ans -= dp_on[on | sub];
}
else{
ans += dp_on[on | sub];
}
}
cout << ans << '\n';
continue;
}
if(cnt(ask) <= 6){
int ans = label[on] - '0';
for (int sub = ask; sub > 0; sub = (sub - 1) & ask){
ans += label[on | sub] - '0';
}
cout << ans << '\n';
}
}
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
37200 KB |
Output is correct |
2 |
Correct |
7 ms |
37200 KB |
Output is correct |
3 |
Correct |
8 ms |
37200 KB |
Output is correct |
4 |
Correct |
8 ms |
37200 KB |
Output is correct |
5 |
Correct |
8 ms |
37248 KB |
Output is correct |
6 |
Correct |
8 ms |
37200 KB |
Output is correct |
7 |
Correct |
8 ms |
37200 KB |
Output is correct |
8 |
Correct |
8 ms |
37200 KB |
Output is correct |
9 |
Correct |
7 ms |
37416 KB |
Output is correct |
10 |
Correct |
7 ms |
37200 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
37200 KB |
Output is correct |
2 |
Correct |
7 ms |
37200 KB |
Output is correct |
3 |
Correct |
8 ms |
37200 KB |
Output is correct |
4 |
Correct |
8 ms |
37200 KB |
Output is correct |
5 |
Correct |
8 ms |
37248 KB |
Output is correct |
6 |
Correct |
8 ms |
37200 KB |
Output is correct |
7 |
Correct |
8 ms |
37200 KB |
Output is correct |
8 |
Correct |
8 ms |
37200 KB |
Output is correct |
9 |
Correct |
7 ms |
37416 KB |
Output is correct |
10 |
Correct |
7 ms |
37200 KB |
Output is correct |
11 |
Correct |
211 ms |
41032 KB |
Output is correct |
12 |
Correct |
167 ms |
51528 KB |
Output is correct |
13 |
Correct |
182 ms |
48552 KB |
Output is correct |
14 |
Correct |
181 ms |
50504 KB |
Output is correct |
15 |
Correct |
165 ms |
51616 KB |
Output is correct |
16 |
Correct |
212 ms |
42056 KB |
Output is correct |
17 |
Correct |
212 ms |
50660 KB |
Output is correct |
18 |
Correct |
104 ms |
42240 KB |
Output is correct |
19 |
Correct |
199 ms |
39240 KB |
Output is correct |
20 |
Correct |
202 ms |
49204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
37200 KB |
Output is correct |
2 |
Correct |
7 ms |
37200 KB |
Output is correct |
3 |
Correct |
8 ms |
37200 KB |
Output is correct |
4 |
Correct |
8 ms |
37200 KB |
Output is correct |
5 |
Correct |
8 ms |
37248 KB |
Output is correct |
6 |
Correct |
8 ms |
37200 KB |
Output is correct |
7 |
Correct |
8 ms |
37200 KB |
Output is correct |
8 |
Correct |
8 ms |
37200 KB |
Output is correct |
9 |
Correct |
7 ms |
37416 KB |
Output is correct |
10 |
Correct |
7 ms |
37200 KB |
Output is correct |
11 |
Correct |
211 ms |
41032 KB |
Output is correct |
12 |
Correct |
167 ms |
51528 KB |
Output is correct |
13 |
Correct |
182 ms |
48552 KB |
Output is correct |
14 |
Correct |
181 ms |
50504 KB |
Output is correct |
15 |
Correct |
165 ms |
51616 KB |
Output is correct |
16 |
Correct |
212 ms |
42056 KB |
Output is correct |
17 |
Correct |
212 ms |
50660 KB |
Output is correct |
18 |
Correct |
104 ms |
42240 KB |
Output is correct |
19 |
Correct |
199 ms |
39240 KB |
Output is correct |
20 |
Correct |
202 ms |
49204 KB |
Output is correct |
21 |
Correct |
298 ms |
52040 KB |
Output is correct |
22 |
Correct |
167 ms |
48456 KB |
Output is correct |
23 |
Correct |
213 ms |
53576 KB |
Output is correct |
24 |
Correct |
211 ms |
40264 KB |
Output is correct |
25 |
Correct |
190 ms |
55620 KB |
Output is correct |
26 |
Correct |
254 ms |
40776 KB |
Output is correct |
27 |
Correct |
258 ms |
53100 KB |
Output is correct |
28 |
Correct |
127 ms |
43336 KB |
Output is correct |
29 |
Correct |
321 ms |
49992 KB |
Output is correct |
30 |
Correct |
239 ms |
52552 KB |
Output is correct |
31 |
Correct |
233 ms |
54600 KB |
Output is correct |
32 |
Correct |
229 ms |
54604 KB |
Output is correct |
33 |
Correct |
215 ms |
53292 KB |
Output is correct |
34 |
Correct |
253 ms |
51016 KB |
Output is correct |
35 |
Correct |
258 ms |
54344 KB |
Output is correct |
36 |
Correct |
112 ms |
51784 KB |
Output is correct |
37 |
Correct |
163 ms |
54856 KB |
Output is correct |
38 |
Correct |
270 ms |
39240 KB |
Output is correct |
39 |
Correct |
340 ms |
53744 KB |
Output is correct |
40 |
Correct |
242 ms |
40260 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
37200 KB |
Output is correct |
2 |
Correct |
7 ms |
37200 KB |
Output is correct |
3 |
Correct |
8 ms |
37200 KB |
Output is correct |
4 |
Correct |
8 ms |
37200 KB |
Output is correct |
5 |
Correct |
8 ms |
37248 KB |
Output is correct |
6 |
Correct |
8 ms |
37200 KB |
Output is correct |
7 |
Correct |
8 ms |
37200 KB |
Output is correct |
8 |
Correct |
8 ms |
37200 KB |
Output is correct |
9 |
Correct |
7 ms |
37416 KB |
Output is correct |
10 |
Correct |
7 ms |
37200 KB |
Output is correct |
11 |
Correct |
38 ms |
51960 KB |
Output is correct |
12 |
Correct |
40 ms |
53996 KB |
Output is correct |
13 |
Correct |
44 ms |
53992 KB |
Output is correct |
14 |
Correct |
50 ms |
51876 KB |
Output is correct |
15 |
Correct |
41 ms |
53996 KB |
Output is correct |
16 |
Correct |
52 ms |
53912 KB |
Output is correct |
17 |
Correct |
46 ms |
51884 KB |
Output is correct |
18 |
Correct |
36 ms |
54168 KB |
Output is correct |
19 |
Correct |
39 ms |
53964 KB |
Output is correct |
20 |
Correct |
41 ms |
54196 KB |
Output is correct |
21 |
Correct |
45 ms |
53300 KB |
Output is correct |
22 |
Correct |
52 ms |
53996 KB |
Output is correct |
23 |
Correct |
51 ms |
53996 KB |
Output is correct |
24 |
Correct |
50 ms |
53968 KB |
Output is correct |
25 |
Correct |
50 ms |
54084 KB |
Output is correct |
26 |
Correct |
36 ms |
53992 KB |
Output is correct |
27 |
Correct |
40 ms |
53996 KB |
Output is correct |
28 |
Correct |
42 ms |
53040 KB |
Output is correct |
29 |
Correct |
47 ms |
51928 KB |
Output is correct |
30 |
Correct |
51 ms |
53908 KB |
Output is correct |
31 |
Correct |
43 ms |
53228 KB |
Output is correct |
32 |
Correct |
56 ms |
53228 KB |
Output is correct |
33 |
Correct |
48 ms |
51948 KB |
Output is correct |
34 |
Correct |
38 ms |
53996 KB |
Output is correct |
35 |
Correct |
46 ms |
53992 KB |
Output is correct |
36 |
Correct |
48 ms |
53996 KB |
Output is correct |
37 |
Correct |
53 ms |
53996 KB |
Output is correct |
38 |
Correct |
51 ms |
53996 KB |
Output is correct |
39 |
Correct |
49 ms |
53908 KB |
Output is correct |
40 |
Correct |
54 ms |
53992 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
37200 KB |
Output is correct |
2 |
Correct |
7 ms |
37200 KB |
Output is correct |
3 |
Correct |
8 ms |
37200 KB |
Output is correct |
4 |
Correct |
8 ms |
37200 KB |
Output is correct |
5 |
Correct |
8 ms |
37248 KB |
Output is correct |
6 |
Correct |
8 ms |
37200 KB |
Output is correct |
7 |
Correct |
8 ms |
37200 KB |
Output is correct |
8 |
Correct |
8 ms |
37200 KB |
Output is correct |
9 |
Correct |
7 ms |
37416 KB |
Output is correct |
10 |
Correct |
7 ms |
37200 KB |
Output is correct |
11 |
Correct |
211 ms |
41032 KB |
Output is correct |
12 |
Correct |
167 ms |
51528 KB |
Output is correct |
13 |
Correct |
182 ms |
48552 KB |
Output is correct |
14 |
Correct |
181 ms |
50504 KB |
Output is correct |
15 |
Correct |
165 ms |
51616 KB |
Output is correct |
16 |
Correct |
212 ms |
42056 KB |
Output is correct |
17 |
Correct |
212 ms |
50660 KB |
Output is correct |
18 |
Correct |
104 ms |
42240 KB |
Output is correct |
19 |
Correct |
199 ms |
39240 KB |
Output is correct |
20 |
Correct |
202 ms |
49204 KB |
Output is correct |
21 |
Correct |
298 ms |
52040 KB |
Output is correct |
22 |
Correct |
167 ms |
48456 KB |
Output is correct |
23 |
Correct |
213 ms |
53576 KB |
Output is correct |
24 |
Correct |
211 ms |
40264 KB |
Output is correct |
25 |
Correct |
190 ms |
55620 KB |
Output is correct |
26 |
Correct |
254 ms |
40776 KB |
Output is correct |
27 |
Correct |
258 ms |
53100 KB |
Output is correct |
28 |
Correct |
127 ms |
43336 KB |
Output is correct |
29 |
Correct |
321 ms |
49992 KB |
Output is correct |
30 |
Correct |
239 ms |
52552 KB |
Output is correct |
31 |
Correct |
233 ms |
54600 KB |
Output is correct |
32 |
Correct |
229 ms |
54604 KB |
Output is correct |
33 |
Correct |
215 ms |
53292 KB |
Output is correct |
34 |
Correct |
253 ms |
51016 KB |
Output is correct |
35 |
Correct |
258 ms |
54344 KB |
Output is correct |
36 |
Correct |
112 ms |
51784 KB |
Output is correct |
37 |
Correct |
163 ms |
54856 KB |
Output is correct |
38 |
Correct |
270 ms |
39240 KB |
Output is correct |
39 |
Correct |
340 ms |
53744 KB |
Output is correct |
40 |
Correct |
242 ms |
40260 KB |
Output is correct |
41 |
Correct |
38 ms |
51960 KB |
Output is correct |
42 |
Correct |
40 ms |
53996 KB |
Output is correct |
43 |
Correct |
44 ms |
53992 KB |
Output is correct |
44 |
Correct |
50 ms |
51876 KB |
Output is correct |
45 |
Correct |
41 ms |
53996 KB |
Output is correct |
46 |
Correct |
52 ms |
53912 KB |
Output is correct |
47 |
Correct |
46 ms |
51884 KB |
Output is correct |
48 |
Correct |
36 ms |
54168 KB |
Output is correct |
49 |
Correct |
39 ms |
53964 KB |
Output is correct |
50 |
Correct |
41 ms |
54196 KB |
Output is correct |
51 |
Correct |
45 ms |
53300 KB |
Output is correct |
52 |
Correct |
52 ms |
53996 KB |
Output is correct |
53 |
Correct |
51 ms |
53996 KB |
Output is correct |
54 |
Correct |
50 ms |
53968 KB |
Output is correct |
55 |
Correct |
50 ms |
54084 KB |
Output is correct |
56 |
Correct |
36 ms |
53992 KB |
Output is correct |
57 |
Correct |
40 ms |
53996 KB |
Output is correct |
58 |
Correct |
42 ms |
53040 KB |
Output is correct |
59 |
Correct |
47 ms |
51928 KB |
Output is correct |
60 |
Correct |
51 ms |
53908 KB |
Output is correct |
61 |
Correct |
43 ms |
53228 KB |
Output is correct |
62 |
Correct |
56 ms |
53228 KB |
Output is correct |
63 |
Correct |
48 ms |
51948 KB |
Output is correct |
64 |
Correct |
38 ms |
53996 KB |
Output is correct |
65 |
Correct |
46 ms |
53992 KB |
Output is correct |
66 |
Correct |
48 ms |
53996 KB |
Output is correct |
67 |
Correct |
53 ms |
53996 KB |
Output is correct |
68 |
Correct |
51 ms |
53996 KB |
Output is correct |
69 |
Correct |
49 ms |
53908 KB |
Output is correct |
70 |
Correct |
54 ms |
53992 KB |
Output is correct |
71 |
Correct |
311 ms |
65536 KB |
Output is correct |
72 |
Correct |
323 ms |
65536 KB |
Output is correct |
73 |
Correct |
388 ms |
65536 KB |
Output is correct |
74 |
Correct |
558 ms |
65536 KB |
Output is correct |
75 |
Correct |
325 ms |
65536 KB |
Output is correct |
76 |
Correct |
543 ms |
65536 KB |
Output is correct |
77 |
Correct |
502 ms |
65536 KB |
Output is correct |
78 |
Correct |
204 ms |
65536 KB |
Output is correct |
79 |
Correct |
257 ms |
65536 KB |
Output is correct |
80 |
Correct |
270 ms |
65536 KB |
Output is correct |
81 |
Correct |
380 ms |
65536 KB |
Output is correct |
82 |
Correct |
537 ms |
65536 KB |
Output is correct |
83 |
Correct |
320 ms |
65536 KB |
Output is correct |
84 |
Correct |
515 ms |
65536 KB |
Output is correct |
85 |
Correct |
509 ms |
65536 KB |
Output is correct |
86 |
Correct |
177 ms |
63464 KB |
Output is correct |
87 |
Correct |
282 ms |
65536 KB |
Output is correct |
88 |
Correct |
287 ms |
65536 KB |
Output is correct |
89 |
Correct |
432 ms |
65536 KB |
Output is correct |
90 |
Correct |
421 ms |
65536 KB |
Output is correct |
91 |
Correct |
340 ms |
65536 KB |
Output is correct |
92 |
Correct |
555 ms |
65536 KB |
Output is correct |
93 |
Correct |
466 ms |
65536 KB |
Output is correct |
94 |
Correct |
160 ms |
65536 KB |
Output is correct |
95 |
Correct |
380 ms |
65536 KB |
Output is correct |
96 |
Correct |
364 ms |
65536 KB |
Output is correct |
97 |
Correct |
427 ms |
65536 KB |
Output is correct |
98 |
Correct |
385 ms |
65536 KB |
Output is correct |
99 |
Correct |
377 ms |
65536 KB |
Output is correct |
100 |
Correct |
447 ms |
65536 KB |
Output is correct |