#include <cstdio>
#include <stdio.h>
#include <iostream>
#include <math.h>
#include <vector>
#include <queue>
#include <stack>
#include <deque>
#include <algorithm>
#include <utility>
#include <set>
#include <map>
#include <stdlib.h>
#include <cstring>
#include <string.h>
#include <string>
#include <sstream>
#include <assert.h>
#include <climits>
#include <sstream>
#include <numeric>
#include <time.h>
#include <limits.h>
#include <list>
#include <bitset>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <iomanip>
#include <complex>
#include <chrono>
// #pragma GCC optimize("Ofast,no-stack-protector")
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx,avx2,bmi,bmi2,lzcnt,popcnt")
#define lowbit(x) ((x) & -(x))
#define ml(a, b) ((1ll * (a) * (b)) % M)
#define tml(a, b) (a) = ((1ll * (a) * (b)) % M)
#define ad(a, b) ((0ll + (a) + (b)) % M)
#define tad(a, b) (a) = ((0ll + (a) + (b)) % M)
#define mi(a, b) ((0ll + M + (a) - (b)) % M)
#define tmi(a, b) (a) = ((0ll + M + (a) - (b)) % M)
#define tmin(a, b) (a) = min((a), (b))
#define tmax(a, b) (a) = max((a), (b))
#define iter(a) (a).begin(), (a).end()
#define riter(a) (a).rbegin(), (a).rend()
#define init(a, b) memset((a), (b), sizeof(a))
#define cpy(a, b) memcpy((a), (b), sizeof(a))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define pb push_back
#define mpr make_pair
#define ls(i) ((i) << 1)
#define rs(i) ((i) << 1 | 1)
#define INF 0x3f3f3f3f
#define eps 1e-9
#define F first
#define S second
#define N 20
#define AC cin.tie(0)->sync_with_stdio(0)
using namespace std;
typedef long long llt;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef pair<llt, llt> pll;
typedef complex<double> cd;
// const int M = 998244353;
// random_device rm;
// mt19937 rg(rm());
// default_random_engine rg(rm());
// uniform_int_distribution<int> rd(INT_MIN, INT_MAX);
// uniform_real_distribution<double> rd(0, M_PI);
void db() { cout << "\n"; }
template <class T, class... U>
void db(T a, U... b) { cout << a << " ", db(b...); }
char s[1 << N], qs[N];
int dp[2][1 << N], n, ca, cb, cc, an, cr, ct;
vector<int> ar;
void df1(int p)
{
if (p == ar.size())
{
an += s[cr];
return;
}
df1(p + 1), cr ^= 1 << ar[p];
df1(p + 1), cr ^= 1 << ar[p];
}
void df2(int p)
{
if (p == ar.size())
{
an += dp[0][cr] * (ct & 1 ? -1 : 1);
return;
}
df2(p + 1), ct++, cr ^= 1 << ar[p];
df2(p + 1), ct--, cr ^= 1 << ar[p];
}
void df3(int p)
{
if (p == ar.size())
{
an += dp[1][cr] * (ct & 1 ? -1 : 1);
return;
}
ct++, df3(p + 1), ct--;
cr ^= 1 << ar[p], df3(p + 1), cr ^= 1 << ar[p];
}
signed main()
{
int q;
scanf("%d%d%s", &n, &q, s);
for (int i = 0; i < 1 << n; i++)
dp[0][i] = dp[1][i] = s[i] -= '0';
for (int j = 0; j < n; j++)
{
for (int i = 0; i < 1 << n; i++)
if ((i >> j) & 1)
dp[1][i] += dp[1][i ^ (1 << j)];
for (int i = (1 << n) - 1; i >= 0; i--)
if (~(i >> j) & 1)
dp[0][i] += dp[0][i ^ (1 << j)];
}
while (q-- && scanf("%s", qs))
{
reverse(qs, qs + n);
ca = cb = cc = cr = an = 0;
for (int i = 0; i < n; i++)
{
switch (qs[i])
{
case '0':
ca++;
break;
case '1':
cb++;
break;
case '?':
cc++;
break;
}
}
if (cc <= ca && cc <= cb)
{
for (int i = 0; i < n; i++)
{
switch (qs[i])
{
case '1':
cr ^= 1 << i;
break;
case '?':
ar.pb(i);
break;
}
}
df1(0);
}
else if (ca <= cb && ca <= cc)
{
for (int i = 0; i < n; i++)
{
switch (qs[i])
{
case '0':
ar.pb(i);
break;
case '1':
cr ^= 1 << i;
break;
}
}
df2(0);
}
else
{
for (int i = 0; i < n; i++)
{
switch (qs[i])
{
case '1':
ar.pb(i);
break;
case '?':
cr ^= 1 << i;
break;
}
}
df3(0);
}
ar.clear();
printf("%d\n", an);
}
}
Compilation message
snake_escaping.cpp: In function 'void df1(int)':
snake_escaping.cpp:83:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
83 | if (p == ar.size())
| ~~^~~~~~~~~~~~
snake_escaping.cpp: In function 'void df2(int)':
snake_escaping.cpp:94:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
94 | if (p == ar.size())
| ~~^~~~~~~~~~~~
snake_escaping.cpp: In function 'void df3(int)':
snake_escaping.cpp:105:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
105 | if (p == ar.size())
| ~~^~~~~~~~~~~~
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:117:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
117 | scanf("%d%d%s", &n, &q, s);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~
# |
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 |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
312 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 |
212 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 |
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 |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
312 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 |
212 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 |
340 KB |
Output is correct |
11 |
Correct |
268 ms |
5212 KB |
Output is correct |
12 |
Correct |
297 ms |
4780 KB |
Output is correct |
13 |
Correct |
351 ms |
4048 KB |
Output is correct |
14 |
Correct |
351 ms |
4176 KB |
Output is correct |
15 |
Correct |
315 ms |
5108 KB |
Output is correct |
16 |
Correct |
369 ms |
4252 KB |
Output is correct |
17 |
Correct |
374 ms |
4152 KB |
Output is correct |
18 |
Correct |
219 ms |
6036 KB |
Output is correct |
19 |
Correct |
264 ms |
3244 KB |
Output is correct |
20 |
Correct |
296 ms |
4684 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 |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
312 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 |
212 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 |
340 KB |
Output is correct |
11 |
Correct |
268 ms |
5212 KB |
Output is correct |
12 |
Correct |
297 ms |
4780 KB |
Output is correct |
13 |
Correct |
351 ms |
4048 KB |
Output is correct |
14 |
Correct |
351 ms |
4176 KB |
Output is correct |
15 |
Correct |
315 ms |
5108 KB |
Output is correct |
16 |
Correct |
369 ms |
4252 KB |
Output is correct |
17 |
Correct |
374 ms |
4152 KB |
Output is correct |
18 |
Correct |
219 ms |
6036 KB |
Output is correct |
19 |
Correct |
264 ms |
3244 KB |
Output is correct |
20 |
Correct |
296 ms |
4684 KB |
Output is correct |
21 |
Correct |
329 ms |
5072 KB |
Output is correct |
22 |
Correct |
357 ms |
5324 KB |
Output is correct |
23 |
Correct |
411 ms |
4452 KB |
Output is correct |
24 |
Correct |
474 ms |
4148 KB |
Output is correct |
25 |
Correct |
365 ms |
6176 KB |
Output is correct |
26 |
Correct |
471 ms |
4800 KB |
Output is correct |
27 |
Correct |
461 ms |
4624 KB |
Output is correct |
28 |
Correct |
236 ms |
7084 KB |
Output is correct |
29 |
Correct |
337 ms |
3148 KB |
Output is correct |
30 |
Correct |
365 ms |
5276 KB |
Output is correct |
31 |
Correct |
416 ms |
5156 KB |
Output is correct |
32 |
Correct |
488 ms |
5248 KB |
Output is correct |
33 |
Correct |
397 ms |
4048 KB |
Output is correct |
34 |
Correct |
454 ms |
4072 KB |
Output is correct |
35 |
Correct |
445 ms |
4752 KB |
Output is correct |
36 |
Correct |
235 ms |
3148 KB |
Output is correct |
37 |
Correct |
315 ms |
5256 KB |
Output is correct |
38 |
Correct |
348 ms |
3224 KB |
Output is correct |
39 |
Correct |
438 ms |
4244 KB |
Output is correct |
40 |
Correct |
476 ms |
4044 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 |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
312 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 |
212 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 |
340 KB |
Output is correct |
11 |
Correct |
80 ms |
10516 KB |
Output is correct |
12 |
Correct |
80 ms |
10404 KB |
Output is correct |
13 |
Correct |
84 ms |
10364 KB |
Output is correct |
14 |
Correct |
101 ms |
10448 KB |
Output is correct |
15 |
Correct |
78 ms |
10568 KB |
Output is correct |
16 |
Correct |
113 ms |
10372 KB |
Output is correct |
17 |
Correct |
104 ms |
10372 KB |
Output is correct |
18 |
Correct |
68 ms |
10648 KB |
Output is correct |
19 |
Correct |
79 ms |
10264 KB |
Output is correct |
20 |
Correct |
79 ms |
10452 KB |
Output is correct |
21 |
Correct |
89 ms |
10456 KB |
Output is correct |
22 |
Correct |
117 ms |
10400 KB |
Output is correct |
23 |
Correct |
79 ms |
10336 KB |
Output is correct |
24 |
Correct |
106 ms |
10396 KB |
Output is correct |
25 |
Correct |
103 ms |
10352 KB |
Output is correct |
26 |
Correct |
68 ms |
10200 KB |
Output is correct |
27 |
Correct |
79 ms |
10348 KB |
Output is correct |
28 |
Correct |
78 ms |
10200 KB |
Output is correct |
29 |
Correct |
98 ms |
10316 KB |
Output is correct |
30 |
Correct |
107 ms |
10312 KB |
Output is correct |
31 |
Correct |
82 ms |
10332 KB |
Output is correct |
32 |
Correct |
116 ms |
10388 KB |
Output is correct |
33 |
Correct |
112 ms |
10392 KB |
Output is correct |
34 |
Correct |
73 ms |
10196 KB |
Output is correct |
35 |
Correct |
94 ms |
10340 KB |
Output is correct |
36 |
Correct |
91 ms |
10316 KB |
Output is correct |
37 |
Correct |
94 ms |
10380 KB |
Output is correct |
38 |
Correct |
97 ms |
10552 KB |
Output is correct |
39 |
Correct |
92 ms |
10316 KB |
Output is correct |
40 |
Correct |
94 ms |
10240 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 |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
312 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 |
212 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 |
340 KB |
Output is correct |
11 |
Correct |
268 ms |
5212 KB |
Output is correct |
12 |
Correct |
297 ms |
4780 KB |
Output is correct |
13 |
Correct |
351 ms |
4048 KB |
Output is correct |
14 |
Correct |
351 ms |
4176 KB |
Output is correct |
15 |
Correct |
315 ms |
5108 KB |
Output is correct |
16 |
Correct |
369 ms |
4252 KB |
Output is correct |
17 |
Correct |
374 ms |
4152 KB |
Output is correct |
18 |
Correct |
219 ms |
6036 KB |
Output is correct |
19 |
Correct |
264 ms |
3244 KB |
Output is correct |
20 |
Correct |
296 ms |
4684 KB |
Output is correct |
21 |
Correct |
329 ms |
5072 KB |
Output is correct |
22 |
Correct |
357 ms |
5324 KB |
Output is correct |
23 |
Correct |
411 ms |
4452 KB |
Output is correct |
24 |
Correct |
474 ms |
4148 KB |
Output is correct |
25 |
Correct |
365 ms |
6176 KB |
Output is correct |
26 |
Correct |
471 ms |
4800 KB |
Output is correct |
27 |
Correct |
461 ms |
4624 KB |
Output is correct |
28 |
Correct |
236 ms |
7084 KB |
Output is correct |
29 |
Correct |
337 ms |
3148 KB |
Output is correct |
30 |
Correct |
365 ms |
5276 KB |
Output is correct |
31 |
Correct |
416 ms |
5156 KB |
Output is correct |
32 |
Correct |
488 ms |
5248 KB |
Output is correct |
33 |
Correct |
397 ms |
4048 KB |
Output is correct |
34 |
Correct |
454 ms |
4072 KB |
Output is correct |
35 |
Correct |
445 ms |
4752 KB |
Output is correct |
36 |
Correct |
235 ms |
3148 KB |
Output is correct |
37 |
Correct |
315 ms |
5256 KB |
Output is correct |
38 |
Correct |
348 ms |
3224 KB |
Output is correct |
39 |
Correct |
438 ms |
4244 KB |
Output is correct |
40 |
Correct |
476 ms |
4044 KB |
Output is correct |
41 |
Correct |
80 ms |
10516 KB |
Output is correct |
42 |
Correct |
80 ms |
10404 KB |
Output is correct |
43 |
Correct |
84 ms |
10364 KB |
Output is correct |
44 |
Correct |
101 ms |
10448 KB |
Output is correct |
45 |
Correct |
78 ms |
10568 KB |
Output is correct |
46 |
Correct |
113 ms |
10372 KB |
Output is correct |
47 |
Correct |
104 ms |
10372 KB |
Output is correct |
48 |
Correct |
68 ms |
10648 KB |
Output is correct |
49 |
Correct |
79 ms |
10264 KB |
Output is correct |
50 |
Correct |
79 ms |
10452 KB |
Output is correct |
51 |
Correct |
89 ms |
10456 KB |
Output is correct |
52 |
Correct |
117 ms |
10400 KB |
Output is correct |
53 |
Correct |
79 ms |
10336 KB |
Output is correct |
54 |
Correct |
106 ms |
10396 KB |
Output is correct |
55 |
Correct |
103 ms |
10352 KB |
Output is correct |
56 |
Correct |
68 ms |
10200 KB |
Output is correct |
57 |
Correct |
79 ms |
10348 KB |
Output is correct |
58 |
Correct |
78 ms |
10200 KB |
Output is correct |
59 |
Correct |
98 ms |
10316 KB |
Output is correct |
60 |
Correct |
107 ms |
10312 KB |
Output is correct |
61 |
Correct |
82 ms |
10332 KB |
Output is correct |
62 |
Correct |
116 ms |
10388 KB |
Output is correct |
63 |
Correct |
112 ms |
10392 KB |
Output is correct |
64 |
Correct |
73 ms |
10196 KB |
Output is correct |
65 |
Correct |
94 ms |
10340 KB |
Output is correct |
66 |
Correct |
91 ms |
10316 KB |
Output is correct |
67 |
Correct |
94 ms |
10380 KB |
Output is correct |
68 |
Correct |
97 ms |
10552 KB |
Output is correct |
69 |
Correct |
92 ms |
10316 KB |
Output is correct |
70 |
Correct |
94 ms |
10240 KB |
Output is correct |
71 |
Correct |
554 ms |
15440 KB |
Output is correct |
72 |
Correct |
593 ms |
15496 KB |
Output is correct |
73 |
Correct |
719 ms |
14028 KB |
Output is correct |
74 |
Correct |
1238 ms |
14716 KB |
Output is correct |
75 |
Correct |
587 ms |
16164 KB |
Output is correct |
76 |
Correct |
1198 ms |
14492 KB |
Output is correct |
77 |
Correct |
1010 ms |
14360 KB |
Output is correct |
78 |
Correct |
404 ms |
18108 KB |
Output is correct |
79 |
Correct |
527 ms |
12152 KB |
Output is correct |
80 |
Correct |
583 ms |
15292 KB |
Output is correct |
81 |
Correct |
763 ms |
15108 KB |
Output is correct |
82 |
Correct |
1118 ms |
14160 KB |
Output is correct |
83 |
Correct |
616 ms |
13432 KB |
Output is correct |
84 |
Correct |
1006 ms |
14228 KB |
Output is correct |
85 |
Correct |
1040 ms |
14352 KB |
Output is correct |
86 |
Correct |
349 ms |
12220 KB |
Output is correct |
87 |
Correct |
545 ms |
15124 KB |
Output is correct |
88 |
Correct |
559 ms |
12108 KB |
Output is correct |
89 |
Correct |
740 ms |
13740 KB |
Output is correct |
90 |
Correct |
964 ms |
14292 KB |
Output is correct |
91 |
Correct |
568 ms |
13380 KB |
Output is correct |
92 |
Correct |
1182 ms |
14436 KB |
Output is correct |
93 |
Correct |
1066 ms |
14472 KB |
Output is correct |
94 |
Correct |
381 ms |
11948 KB |
Output is correct |
95 |
Correct |
872 ms |
14112 KB |
Output is correct |
96 |
Correct |
869 ms |
14156 KB |
Output is correct |
97 |
Correct |
879 ms |
14076 KB |
Output is correct |
98 |
Correct |
859 ms |
13868 KB |
Output is correct |
99 |
Correct |
896 ms |
13888 KB |
Output is correct |
100 |
Correct |
895 ms |
13828 KB |
Output is correct |