#include <bits/stdc++.h>
using namespace std;
typedef vector<int> vi;
#define all(x) begin(x), end(x)
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template<class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int mx = 1000005;
int L, Q;
string S;
string T[mx];
int three_pow[15];
int three_sub[1594323];
void smallL(){
three_pow[0] = 1;
for(int i = 1; i <= L; i++){
three_pow[i] = three_pow[i-1]*3;
}
for(int i = 0; i < three_pow[L]; i++){
int sub = i;
int sum = 0;
for(int j = 0; j < L; j++){
if(sub % 3 == 2){
//cout << i << " " << i-2*three_pow[j] << " " << i-1*three_pow[j] << "\n";
three_sub[i] = three_sub[i-2*three_pow[j]]+three_sub[i-1*three_pow[j]];
sum = -1;
break;
}
if(sub % 3 == 1){
sum+=(1<<j);
}
sub/=3;
}
if(sum != -1){
three_sub[i] = S[sum]-'0';
//cout << i << " " << three_sub[i] << "\n";
}
}
//cout << "three_sub[2]: " << three_sub[8] << "\n";
for(int i = 1; i <= Q; i++){
int sub = 0;
for(int j = 0; j < L; j++){
if(T[i][j] == '1'){
sub+=three_pow[j];
}
else if(T[i][j] == '?'){
sub+=2*three_pow[j];
}
}
cout << three_sub[sub] << "\n";
}
}
int trip[3][1<<20];
void genTrip(){
for(int i = 0; i < (1<<L); i++){
trip[2][i] = S[i]-'0';
}
for(int typ = 0; typ < 2; typ++){
array<int, 1<<20> dp;
array<int, 1<<20> ndp;
for(int i = 0; i < (1<<20); i++){
dp[i] = trip[2][i];
ndp[i] = 0;
}
for(int j = 0; j < L; j++){
for(int i = 0; i < (1<<L); i++){
if((i>>j)&1){ //put in ?
ndp[i] = dp[i-(1<<j)]+dp[i];
}
else{
if(typ == 1){
ndp[i] = dp[i];
}
else{
ndp[i] = dp[i+(1<<j)];
}
}
}
swap(dp, ndp);
for(int i = 0; i < (1<<L); i++){
ndp[i] = 0;
}
}
for(int i = 0; i < (1<<L); i++){
bool is_odd = 0;
for(int j = 0; j < L; j++){
if((i>>j)&1){
is_odd^=1;
}
}
if(is_odd){
trip[typ][i] = -dp[i];
}
else{
trip[typ][i] = dp[i];
}
}
}
}
void printTrip(){
map<char, int> from_char;
from_char['0'] = 0;
from_char['1'] = 1;
from_char['?'] = 2;
for(int i = 1; i <= Q; i++){
vi typ_count(3, 0);
for(auto u: T[i]){
typ_count[from_char[u]]++;
}
int typ = -1;
int min_typ_count = min(typ_count[0], min(typ_count[1], typ_count[2]));
for(int i = 0; i < 3; i++){
if(typ_count[i] == min_typ_count){
typ = i;
break;
}
}
// cout << "typ: " << typ << "\n";
// cout << trip[1][0] << "\n";
int sub1 = 0; //positions of typ
int sub2 = 0; //
for(int j = 0; j < L; j++){
int char_type = from_char[T[i][j]];
if(char_type == typ){
sub1+=(1<<j);
}
else{
if(typ == 2){
if(char_type == 1){
sub2+=(1<<j);
}
}
else{
if(char_type == 2){
sub2+=(1<<j);
}
}
}
}
int res = 0;
for(int i = sub1;;i = ((i-1)&sub1)){
res+=trip[typ][i+sub2];
if(i == 0) break;
}
if(typ != 2){
bool is_odd = 0;
for(auto u: T[i]){
if(from_char[u] == 2 || from_char[u] == typ){
is_odd^=1;
}
}
if(is_odd){
res = -res;
}
}
cout << res << "\n";
}
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cin >> L >> Q;
cin >> S;
for(int i = 1; i <= Q; i++){
cin >> T[i];
reverse(all(T[i]));
}
// if(L <= 13){
// smallL();
// exit(0);
// }
genTrip();
printTrip();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
50 ms |
39828 KB |
Output is correct |
2 |
Correct |
51 ms |
39848 KB |
Output is correct |
3 |
Correct |
55 ms |
39864 KB |
Output is correct |
4 |
Correct |
52 ms |
39792 KB |
Output is correct |
5 |
Correct |
57 ms |
39876 KB |
Output is correct |
6 |
Correct |
60 ms |
39856 KB |
Output is correct |
7 |
Correct |
50 ms |
39864 KB |
Output is correct |
8 |
Correct |
50 ms |
39844 KB |
Output is correct |
9 |
Correct |
50 ms |
39860 KB |
Output is correct |
10 |
Correct |
60 ms |
39856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
50 ms |
39828 KB |
Output is correct |
2 |
Correct |
51 ms |
39848 KB |
Output is correct |
3 |
Correct |
55 ms |
39864 KB |
Output is correct |
4 |
Correct |
52 ms |
39792 KB |
Output is correct |
5 |
Correct |
57 ms |
39876 KB |
Output is correct |
6 |
Correct |
60 ms |
39856 KB |
Output is correct |
7 |
Correct |
50 ms |
39864 KB |
Output is correct |
8 |
Correct |
50 ms |
39844 KB |
Output is correct |
9 |
Correct |
50 ms |
39860 KB |
Output is correct |
10 |
Correct |
60 ms |
39856 KB |
Output is correct |
11 |
Correct |
570 ms |
54668 KB |
Output is correct |
12 |
Correct |
629 ms |
54280 KB |
Output is correct |
13 |
Correct |
589 ms |
53444 KB |
Output is correct |
14 |
Correct |
672 ms |
53572 KB |
Output is correct |
15 |
Correct |
657 ms |
54736 KB |
Output is correct |
16 |
Correct |
680 ms |
53724 KB |
Output is correct |
17 |
Correct |
691 ms |
53748 KB |
Output is correct |
18 |
Correct |
483 ms |
55616 KB |
Output is correct |
19 |
Correct |
481 ms |
52540 KB |
Output is correct |
20 |
Correct |
599 ms |
54212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
50 ms |
39828 KB |
Output is correct |
2 |
Correct |
51 ms |
39848 KB |
Output is correct |
3 |
Correct |
55 ms |
39864 KB |
Output is correct |
4 |
Correct |
52 ms |
39792 KB |
Output is correct |
5 |
Correct |
57 ms |
39876 KB |
Output is correct |
6 |
Correct |
60 ms |
39856 KB |
Output is correct |
7 |
Correct |
50 ms |
39864 KB |
Output is correct |
8 |
Correct |
50 ms |
39844 KB |
Output is correct |
9 |
Correct |
50 ms |
39860 KB |
Output is correct |
10 |
Correct |
60 ms |
39856 KB |
Output is correct |
11 |
Correct |
570 ms |
54668 KB |
Output is correct |
12 |
Correct |
629 ms |
54280 KB |
Output is correct |
13 |
Correct |
589 ms |
53444 KB |
Output is correct |
14 |
Correct |
672 ms |
53572 KB |
Output is correct |
15 |
Correct |
657 ms |
54736 KB |
Output is correct |
16 |
Correct |
680 ms |
53724 KB |
Output is correct |
17 |
Correct |
691 ms |
53748 KB |
Output is correct |
18 |
Correct |
483 ms |
55616 KB |
Output is correct |
19 |
Correct |
481 ms |
52540 KB |
Output is correct |
20 |
Correct |
599 ms |
54212 KB |
Output is correct |
21 |
Correct |
678 ms |
57668 KB |
Output is correct |
22 |
Correct |
741 ms |
57868 KB |
Output is correct |
23 |
Correct |
711 ms |
56740 KB |
Output is correct |
24 |
Correct |
815 ms |
56580 KB |
Output is correct |
25 |
Correct |
787 ms |
58752 KB |
Output is correct |
26 |
Correct |
836 ms |
57208 KB |
Output is correct |
27 |
Correct |
821 ms |
57028 KB |
Output is correct |
28 |
Correct |
514 ms |
59712 KB |
Output is correct |
29 |
Correct |
557 ms |
55608 KB |
Output is correct |
30 |
Correct |
739 ms |
57832 KB |
Output is correct |
31 |
Correct |
840 ms |
57620 KB |
Output is correct |
32 |
Correct |
831 ms |
57588 KB |
Output is correct |
33 |
Correct |
629 ms |
56576 KB |
Output is correct |
34 |
Correct |
826 ms |
56608 KB |
Output is correct |
35 |
Correct |
813 ms |
57028 KB |
Output is correct |
36 |
Correct |
453 ms |
55584 KB |
Output is correct |
37 |
Correct |
729 ms |
57632 KB |
Output is correct |
38 |
Correct |
575 ms |
55556 KB |
Output is correct |
39 |
Correct |
720 ms |
56724 KB |
Output is correct |
40 |
Correct |
814 ms |
56624 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
50 ms |
39828 KB |
Output is correct |
2 |
Correct |
51 ms |
39848 KB |
Output is correct |
3 |
Correct |
55 ms |
39864 KB |
Output is correct |
4 |
Correct |
52 ms |
39792 KB |
Output is correct |
5 |
Correct |
57 ms |
39876 KB |
Output is correct |
6 |
Correct |
60 ms |
39856 KB |
Output is correct |
7 |
Correct |
50 ms |
39864 KB |
Output is correct |
8 |
Correct |
50 ms |
39844 KB |
Output is correct |
9 |
Correct |
50 ms |
39860 KB |
Output is correct |
10 |
Correct |
60 ms |
39856 KB |
Output is correct |
11 |
Correct |
248 ms |
57796 KB |
Output is correct |
12 |
Correct |
255 ms |
57808 KB |
Output is correct |
13 |
Correct |
266 ms |
57828 KB |
Output is correct |
14 |
Correct |
266 ms |
57736 KB |
Output is correct |
15 |
Correct |
260 ms |
57828 KB |
Output is correct |
16 |
Correct |
271 ms |
57756 KB |
Output is correct |
17 |
Correct |
272 ms |
57824 KB |
Output is correct |
18 |
Correct |
246 ms |
57944 KB |
Output is correct |
19 |
Correct |
242 ms |
57576 KB |
Output is correct |
20 |
Correct |
283 ms |
57844 KB |
Output is correct |
21 |
Correct |
282 ms |
57800 KB |
Output is correct |
22 |
Correct |
263 ms |
57844 KB |
Output is correct |
23 |
Correct |
259 ms |
57844 KB |
Output is correct |
24 |
Correct |
272 ms |
57740 KB |
Output is correct |
25 |
Correct |
303 ms |
57756 KB |
Output is correct |
26 |
Correct |
237 ms |
57584 KB |
Output is correct |
27 |
Correct |
257 ms |
57836 KB |
Output is correct |
28 |
Correct |
240 ms |
57640 KB |
Output is correct |
29 |
Correct |
255 ms |
57684 KB |
Output is correct |
30 |
Correct |
265 ms |
57708 KB |
Output is correct |
31 |
Correct |
241 ms |
57716 KB |
Output is correct |
32 |
Correct |
279 ms |
57804 KB |
Output is correct |
33 |
Correct |
271 ms |
57848 KB |
Output is correct |
34 |
Correct |
237 ms |
57608 KB |
Output is correct |
35 |
Correct |
261 ms |
57712 KB |
Output is correct |
36 |
Correct |
263 ms |
57696 KB |
Output is correct |
37 |
Correct |
290 ms |
57684 KB |
Output is correct |
38 |
Correct |
263 ms |
57720 KB |
Output is correct |
39 |
Correct |
266 ms |
57828 KB |
Output is correct |
40 |
Correct |
263 ms |
57744 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
50 ms |
39828 KB |
Output is correct |
2 |
Correct |
51 ms |
39848 KB |
Output is correct |
3 |
Correct |
55 ms |
39864 KB |
Output is correct |
4 |
Correct |
52 ms |
39792 KB |
Output is correct |
5 |
Correct |
57 ms |
39876 KB |
Output is correct |
6 |
Correct |
60 ms |
39856 KB |
Output is correct |
7 |
Correct |
50 ms |
39864 KB |
Output is correct |
8 |
Correct |
50 ms |
39844 KB |
Output is correct |
9 |
Correct |
50 ms |
39860 KB |
Output is correct |
10 |
Correct |
60 ms |
39856 KB |
Output is correct |
11 |
Correct |
570 ms |
54668 KB |
Output is correct |
12 |
Correct |
629 ms |
54280 KB |
Output is correct |
13 |
Correct |
589 ms |
53444 KB |
Output is correct |
14 |
Correct |
672 ms |
53572 KB |
Output is correct |
15 |
Correct |
657 ms |
54736 KB |
Output is correct |
16 |
Correct |
680 ms |
53724 KB |
Output is correct |
17 |
Correct |
691 ms |
53748 KB |
Output is correct |
18 |
Correct |
483 ms |
55616 KB |
Output is correct |
19 |
Correct |
481 ms |
52540 KB |
Output is correct |
20 |
Correct |
599 ms |
54212 KB |
Output is correct |
21 |
Correct |
678 ms |
57668 KB |
Output is correct |
22 |
Correct |
741 ms |
57868 KB |
Output is correct |
23 |
Correct |
711 ms |
56740 KB |
Output is correct |
24 |
Correct |
815 ms |
56580 KB |
Output is correct |
25 |
Correct |
787 ms |
58752 KB |
Output is correct |
26 |
Correct |
836 ms |
57208 KB |
Output is correct |
27 |
Correct |
821 ms |
57028 KB |
Output is correct |
28 |
Correct |
514 ms |
59712 KB |
Output is correct |
29 |
Correct |
557 ms |
55608 KB |
Output is correct |
30 |
Correct |
739 ms |
57832 KB |
Output is correct |
31 |
Correct |
840 ms |
57620 KB |
Output is correct |
32 |
Correct |
831 ms |
57588 KB |
Output is correct |
33 |
Correct |
629 ms |
56576 KB |
Output is correct |
34 |
Correct |
826 ms |
56608 KB |
Output is correct |
35 |
Correct |
813 ms |
57028 KB |
Output is correct |
36 |
Correct |
453 ms |
55584 KB |
Output is correct |
37 |
Correct |
729 ms |
57632 KB |
Output is correct |
38 |
Correct |
575 ms |
55556 KB |
Output is correct |
39 |
Correct |
720 ms |
56724 KB |
Output is correct |
40 |
Correct |
814 ms |
56624 KB |
Output is correct |
41 |
Correct |
248 ms |
57796 KB |
Output is correct |
42 |
Correct |
255 ms |
57808 KB |
Output is correct |
43 |
Correct |
266 ms |
57828 KB |
Output is correct |
44 |
Correct |
266 ms |
57736 KB |
Output is correct |
45 |
Correct |
260 ms |
57828 KB |
Output is correct |
46 |
Correct |
271 ms |
57756 KB |
Output is correct |
47 |
Correct |
272 ms |
57824 KB |
Output is correct |
48 |
Correct |
246 ms |
57944 KB |
Output is correct |
49 |
Correct |
242 ms |
57576 KB |
Output is correct |
50 |
Correct |
283 ms |
57844 KB |
Output is correct |
51 |
Correct |
282 ms |
57800 KB |
Output is correct |
52 |
Correct |
263 ms |
57844 KB |
Output is correct |
53 |
Correct |
259 ms |
57844 KB |
Output is correct |
54 |
Correct |
272 ms |
57740 KB |
Output is correct |
55 |
Correct |
303 ms |
57756 KB |
Output is correct |
56 |
Correct |
237 ms |
57584 KB |
Output is correct |
57 |
Correct |
257 ms |
57836 KB |
Output is correct |
58 |
Correct |
240 ms |
57640 KB |
Output is correct |
59 |
Correct |
255 ms |
57684 KB |
Output is correct |
60 |
Correct |
265 ms |
57708 KB |
Output is correct |
61 |
Correct |
241 ms |
57716 KB |
Output is correct |
62 |
Correct |
279 ms |
57804 KB |
Output is correct |
63 |
Correct |
271 ms |
57848 KB |
Output is correct |
64 |
Correct |
237 ms |
57608 KB |
Output is correct |
65 |
Correct |
261 ms |
57712 KB |
Output is correct |
66 |
Correct |
263 ms |
57696 KB |
Output is correct |
67 |
Correct |
290 ms |
57684 KB |
Output is correct |
68 |
Correct |
263 ms |
57720 KB |
Output is correct |
69 |
Correct |
266 ms |
57828 KB |
Output is correct |
70 |
Correct |
263 ms |
57744 KB |
Output is correct |
71 |
Runtime error |
163 ms |
65540 KB |
Execution killed with signal 9 |
72 |
Halted |
0 ms |
0 KB |
- |