#include <bits/stdc++.h>
#define bp __builtin_popcountll
#define pb push_back
#define in(s) freopen(s, "r", stdin);
#define out(s) freopen(s, "w", stdout);
#define inout(s, end1, end2) freopen((string(s) + "." + end1).c_str(), "r", stdin),\
freopen((string(s) + "." + end2).c_str(), "w", stdout);
#define fi first
#define se second
#define bw(i, r, l) for (int i = r - 1; i >= l; i--)
#define fw(i, l, r) for (int i = l; i < r; i++)
#define fa(i, x) for (auto i: x)
using namespace std;
const int mod = 1e9 + 7, inf = 1061109567;
const long long infll = 4557430888798830399;
const int L = (1 << 20) + 5;
int l, q, cost[L], defMask = 0, sumSubset[L], sumSubsetOf[L];
int getMask(vector<int> &pos, int replaceMask) {
int ansMask = defMask;
fw (i, 0, pos.size()) {
int bitID = pos[i];
int bit = ((replaceMask >> i) & 1);
ansMask |= (bit << bitID);
}
return ansMask;
}
signed main() {
#ifdef BLU
in("blu.inp");
#endif
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> l >> q;
fw (i, 0, (1 << l)) {
char c;
cin >> c;
cost[i] = c - '0';
}
//sumSubset[i] stores sum of costs of j that j & i = j.
fw (i, 0, (1 << l)) sumSubset[i] = cost[i];
fw (i, 0, l) fw (mask, 0, (1 << l)) {
if (mask & (1 << i)) sumSubset[mask] += sumSubset[mask ^ (1 << i)];
}
// fw (mask, 0, (1 << l)) cout << "sumSubset[" << mask << "] = " << sumSubset[mask] << "\n";
//sumSubsetOf[i] stores sum of costs of j that j & i = i
fw (i, 0, (1 << l)) sumSubsetOf[i] = cost[i];
fw (i, 0, l) bw (mask, (1 << l), 0) {
if (!(mask & (1 << i))) sumSubsetOf[mask] += sumSubsetOf[mask | (1 << i)];
}
while (q--) {
string t;
cin >> t;
reverse(t.begin(), t.end());
int cnt0 = 0, cnt1 = 0, cntQ = 0;
fw (i, 0, t.length()) {
if (t[i] == '0') cnt0++;
else if (t[i] == '1') cnt1++;
else cntQ++;
}
//At least one of these is <= 6. Iterate over them.
int ans = 0;
defMask = 0;
vector<int> pos; pos.clear();
if (cntQ <= 6) {
fw (i, 0, t.length()) {
if (t[i] == '?') pos.pb(i);
else defMask |= ((t[i] - '0') << i);
}
fw (replacementMask, 0, (1 << cntQ)) {
int mask = getMask(pos, replacementMask);
ans += cost[mask];
}
} else if (cnt0 <= 6) {
fw (i, 0, t.length()) {
if (t[i] == '0') pos.pb(i);
else {
if (t[i] == '1') defMask |= (1 << i);
}
}
fw (replacementMask, 0, (1 << cnt0)) {
int mask = getMask(pos, replacementMask);
if (bp(replacementMask) % 2 == 0) {
ans += sumSubsetOf[mask];
} else ans -= sumSubsetOf[mask];
}
} else if (cnt1 <= 6) {
// cout << "cnt1 = " << cnt1 << "\n";
fw (i, 0, t.length()) {
if (t[i] == '1') pos.pb(i);
else {
if (t[i] == '?') defMask |= (1 << i);
}
}
// cout << "t = " << t << "\n";
fw (replacementMask, 0, (1 << cnt1)) {
// cout << "replacementMask = " << replacementMask << "\n";
int mask = getMask(pos, replacementMask);
// cout << "mask = " << mask << "\n";
if ((cnt1 - bp(replacementMask)) % 2 == 0) {
ans += sumSubset[mask];
} else ans -= sumSubset[mask];
}
}
cout << ans << "\n";
}
return 0;
}
Compilation message
snake_escaping.cpp: In function 'int getMask(std::vector<int>&, int)':
snake_escaping.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
#define fw(i, l, r) for (int i = l; i < r; i++)
snake_escaping.cpp:20:6:
fw (i, 0, pos.size()) {
~~~~~~~~~~~~~~~~
snake_escaping.cpp:20:2: note: in expansion of macro 'fw'
fw (i, 0, pos.size()) {
^~
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
#define fw(i, l, r) for (int i = l; i < r; i++)
snake_escaping.cpp:54:7:
fw (i, 0, t.length()) {
~~~~~~~~~~~~~~~~
snake_escaping.cpp:54:3: note: in expansion of macro 'fw'
fw (i, 0, t.length()) {
^~
snake_escaping.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
#define fw(i, l, r) for (int i = l; i < r; i++)
snake_escaping.cpp:64:8:
fw (i, 0, t.length()) {
~~~~~~~~~~~~~~~~
snake_escaping.cpp:64:4: note: in expansion of macro 'fw'
fw (i, 0, t.length()) {
^~
snake_escaping.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
#define fw(i, l, r) for (int i = l; i < r; i++)
snake_escaping.cpp:73:8:
fw (i, 0, t.length()) {
~~~~~~~~~~~~~~~~
snake_escaping.cpp:73:4: note: in expansion of macro 'fw'
fw (i, 0, t.length()) {
^~
snake_escaping.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
#define fw(i, l, r) for (int i = l; i < r; i++)
snake_escaping.cpp:87:8:
fw (i, 0, t.length()) {
~~~~~~~~~~~~~~~~
snake_escaping.cpp:87:4: note: in expansion of macro 'fw'
fw (i, 0, t.length()) {
^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
376 KB |
Output is correct |
4 |
Correct |
3 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
3 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
392 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
3 ms |
504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
376 KB |
Output is correct |
4 |
Correct |
3 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
3 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
392 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
3 ms |
504 KB |
Output is correct |
11 |
Correct |
873 ms |
9952 KB |
Output is correct |
12 |
Correct |
810 ms |
9716 KB |
Output is correct |
13 |
Correct |
536 ms |
8812 KB |
Output is correct |
14 |
Correct |
561 ms |
9040 KB |
Output is correct |
15 |
Correct |
1311 ms |
9952 KB |
Output is correct |
16 |
Correct |
687 ms |
9156 KB |
Output is correct |
17 |
Correct |
659 ms |
9048 KB |
Output is correct |
18 |
Correct |
212 ms |
10844 KB |
Output is correct |
19 |
Correct |
255 ms |
7928 KB |
Output is correct |
20 |
Correct |
785 ms |
14880 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
376 KB |
Output is correct |
4 |
Correct |
3 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
3 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
392 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
3 ms |
504 KB |
Output is correct |
11 |
Correct |
873 ms |
9952 KB |
Output is correct |
12 |
Correct |
810 ms |
9716 KB |
Output is correct |
13 |
Correct |
536 ms |
8812 KB |
Output is correct |
14 |
Correct |
561 ms |
9040 KB |
Output is correct |
15 |
Correct |
1311 ms |
9952 KB |
Output is correct |
16 |
Correct |
687 ms |
9156 KB |
Output is correct |
17 |
Correct |
659 ms |
9048 KB |
Output is correct |
18 |
Correct |
212 ms |
10844 KB |
Output is correct |
19 |
Correct |
255 ms |
7928 KB |
Output is correct |
20 |
Correct |
785 ms |
14880 KB |
Output is correct |
21 |
Correct |
397 ms |
8640 KB |
Output is correct |
22 |
Correct |
1134 ms |
8692 KB |
Output is correct |
23 |
Correct |
737 ms |
7652 KB |
Output is correct |
24 |
Correct |
766 ms |
7284 KB |
Output is correct |
25 |
Correct |
628 ms |
9080 KB |
Output is correct |
26 |
Correct |
874 ms |
7564 KB |
Output is correct |
27 |
Correct |
828 ms |
7372 KB |
Output is correct |
28 |
Correct |
229 ms |
9760 KB |
Output is correct |
29 |
Correct |
304 ms |
5760 KB |
Output is correct |
30 |
Correct |
747 ms |
7772 KB |
Output is correct |
31 |
Correct |
1382 ms |
7500 KB |
Output is correct |
32 |
Correct |
962 ms |
7236 KB |
Output is correct |
33 |
Correct |
547 ms |
6136 KB |
Output is correct |
34 |
Correct |
705 ms |
6244 KB |
Output is correct |
35 |
Correct |
841 ms |
17748 KB |
Output is correct |
36 |
Correct |
227 ms |
4856 KB |
Output is correct |
37 |
Correct |
1346 ms |
6700 KB |
Output is correct |
38 |
Correct |
306 ms |
4532 KB |
Output is correct |
39 |
Correct |
708 ms |
5612 KB |
Output is correct |
40 |
Correct |
710 ms |
5240 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
376 KB |
Output is correct |
4 |
Correct |
3 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
3 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
392 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
3 ms |
504 KB |
Output is correct |
11 |
Correct |
109 ms |
14984 KB |
Output is correct |
12 |
Correct |
118 ms |
14992 KB |
Output is correct |
13 |
Correct |
173 ms |
15120 KB |
Output is correct |
14 |
Correct |
231 ms |
14944 KB |
Output is correct |
15 |
Correct |
132 ms |
15096 KB |
Output is correct |
16 |
Correct |
218 ms |
15016 KB |
Output is correct |
17 |
Correct |
200 ms |
14920 KB |
Output is correct |
18 |
Correct |
95 ms |
15124 KB |
Output is correct |
19 |
Correct |
109 ms |
14776 KB |
Output is correct |
20 |
Correct |
114 ms |
14980 KB |
Output is correct |
21 |
Correct |
159 ms |
14948 KB |
Output is correct |
22 |
Correct |
212 ms |
14976 KB |
Output is correct |
23 |
Correct |
123 ms |
14840 KB |
Output is correct |
24 |
Correct |
186 ms |
14968 KB |
Output is correct |
25 |
Correct |
194 ms |
14884 KB |
Output is correct |
26 |
Correct |
101 ms |
14812 KB |
Output is correct |
27 |
Correct |
109 ms |
14892 KB |
Output is correct |
28 |
Correct |
106 ms |
14796 KB |
Output is correct |
29 |
Correct |
146 ms |
14972 KB |
Output is correct |
30 |
Correct |
179 ms |
14968 KB |
Output is correct |
31 |
Correct |
124 ms |
14968 KB |
Output is correct |
32 |
Correct |
218 ms |
14968 KB |
Output is correct |
33 |
Correct |
198 ms |
15000 KB |
Output is correct |
34 |
Correct |
94 ms |
14764 KB |
Output is correct |
35 |
Correct |
170 ms |
14940 KB |
Output is correct |
36 |
Correct |
172 ms |
14900 KB |
Output is correct |
37 |
Correct |
172 ms |
15072 KB |
Output is correct |
38 |
Correct |
165 ms |
14940 KB |
Output is correct |
39 |
Correct |
170 ms |
15072 KB |
Output is correct |
40 |
Correct |
166 ms |
14940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
376 KB |
Output is correct |
4 |
Correct |
3 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
3 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
392 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
3 ms |
504 KB |
Output is correct |
11 |
Correct |
873 ms |
9952 KB |
Output is correct |
12 |
Correct |
810 ms |
9716 KB |
Output is correct |
13 |
Correct |
536 ms |
8812 KB |
Output is correct |
14 |
Correct |
561 ms |
9040 KB |
Output is correct |
15 |
Correct |
1311 ms |
9952 KB |
Output is correct |
16 |
Correct |
687 ms |
9156 KB |
Output is correct |
17 |
Correct |
659 ms |
9048 KB |
Output is correct |
18 |
Correct |
212 ms |
10844 KB |
Output is correct |
19 |
Correct |
255 ms |
7928 KB |
Output is correct |
20 |
Correct |
785 ms |
14880 KB |
Output is correct |
21 |
Correct |
397 ms |
8640 KB |
Output is correct |
22 |
Correct |
1134 ms |
8692 KB |
Output is correct |
23 |
Correct |
737 ms |
7652 KB |
Output is correct |
24 |
Correct |
766 ms |
7284 KB |
Output is correct |
25 |
Correct |
628 ms |
9080 KB |
Output is correct |
26 |
Correct |
874 ms |
7564 KB |
Output is correct |
27 |
Correct |
828 ms |
7372 KB |
Output is correct |
28 |
Correct |
229 ms |
9760 KB |
Output is correct |
29 |
Correct |
304 ms |
5760 KB |
Output is correct |
30 |
Correct |
747 ms |
7772 KB |
Output is correct |
31 |
Correct |
1382 ms |
7500 KB |
Output is correct |
32 |
Correct |
962 ms |
7236 KB |
Output is correct |
33 |
Correct |
547 ms |
6136 KB |
Output is correct |
34 |
Correct |
705 ms |
6244 KB |
Output is correct |
35 |
Correct |
841 ms |
17748 KB |
Output is correct |
36 |
Correct |
227 ms |
4856 KB |
Output is correct |
37 |
Correct |
1346 ms |
6700 KB |
Output is correct |
38 |
Correct |
306 ms |
4532 KB |
Output is correct |
39 |
Correct |
708 ms |
5612 KB |
Output is correct |
40 |
Correct |
710 ms |
5240 KB |
Output is correct |
41 |
Correct |
109 ms |
14984 KB |
Output is correct |
42 |
Correct |
118 ms |
14992 KB |
Output is correct |
43 |
Correct |
173 ms |
15120 KB |
Output is correct |
44 |
Correct |
231 ms |
14944 KB |
Output is correct |
45 |
Correct |
132 ms |
15096 KB |
Output is correct |
46 |
Correct |
218 ms |
15016 KB |
Output is correct |
47 |
Correct |
200 ms |
14920 KB |
Output is correct |
48 |
Correct |
95 ms |
15124 KB |
Output is correct |
49 |
Correct |
109 ms |
14776 KB |
Output is correct |
50 |
Correct |
114 ms |
14980 KB |
Output is correct |
51 |
Correct |
159 ms |
14948 KB |
Output is correct |
52 |
Correct |
212 ms |
14976 KB |
Output is correct |
53 |
Correct |
123 ms |
14840 KB |
Output is correct |
54 |
Correct |
186 ms |
14968 KB |
Output is correct |
55 |
Correct |
194 ms |
14884 KB |
Output is correct |
56 |
Correct |
101 ms |
14812 KB |
Output is correct |
57 |
Correct |
109 ms |
14892 KB |
Output is correct |
58 |
Correct |
106 ms |
14796 KB |
Output is correct |
59 |
Correct |
146 ms |
14972 KB |
Output is correct |
60 |
Correct |
179 ms |
14968 KB |
Output is correct |
61 |
Correct |
124 ms |
14968 KB |
Output is correct |
62 |
Correct |
218 ms |
14968 KB |
Output is correct |
63 |
Correct |
198 ms |
15000 KB |
Output is correct |
64 |
Correct |
94 ms |
14764 KB |
Output is correct |
65 |
Correct |
170 ms |
14940 KB |
Output is correct |
66 |
Correct |
172 ms |
14900 KB |
Output is correct |
67 |
Correct |
172 ms |
15072 KB |
Output is correct |
68 |
Correct |
165 ms |
14940 KB |
Output is correct |
69 |
Correct |
170 ms |
15072 KB |
Output is correct |
70 |
Correct |
166 ms |
14940 KB |
Output is correct |
71 |
Correct |
728 ms |
39252 KB |
Output is correct |
72 |
Correct |
884 ms |
39504 KB |
Output is correct |
73 |
Correct |
1456 ms |
37980 KB |
Output is correct |
74 |
Execution timed out |
2023 ms |
32144 KB |
Time limit exceeded |
75 |
Halted |
0 ms |
0 KB |
- |