import java.io.*; import java.util.*;
public class snake_escaping{
static class FastReader
{
BufferedReader br;
StringTokenizer st;
public FastReader()
{
br = new BufferedReader(new
InputStreamReader(System.in));
}
String next()
{
while (st == null || !st.hasMoreElements())
{
try
{
st = new StringTokenizer(br.readLine());
}
catch (IOException e)
{
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt()
{
return Integer.parseInt(next());
}
}
public static class Pair implements Comparable<Pair>{
int vtx; int val;
public Pair(int a, int b){
this.vtx=a; this.val=b;
}
public int compareTo(Pair other){
if(this.val<other.val)return -1;
if(this.val>other.val)return 1;
if(this.vtx<other.vtx)return -1;
return 1;
}
}
static int MOD=998244353;
public static void main(String[] args){
FastReader br=new FastReader();
int L=br.nextInt(); int Q=br.nextInt();
final int[] S=new int[1<<L]; final int[] sup=new int[1<<L]; final int[] sub=new int[1<<L];
final int[] btcnt=new int[1<<L];
String s=br.next();
for(int i=0; i<(1<<L); i++){
S[i]=(int) s.charAt(i)-'0'; sup[i]=sub[i]=S[i];
btcnt[i]=Integer.bitCount(i);
}
//SOS DP!!
for(int b=0; b<L; b++){
for(int m=0;m<(1<<L); m++){
if(((m>>>b)&1) ==0){
sup[m]+=sup[m^(1<<b)];
}else{
sub[m]+=sub[m^(1<<b)];
}
}
}
//System.out.println(Arrays.toString(sub));
//System.out.println(Arrays.toString(sup));
StringBuilder sb=new StringBuilder();
//sb can have a lot of memory
int A; int B; int C;
int ca; int cb; int cc; long ans;
for(int i=0;i<Q;i++){
s=br.next(); A=0; B=0; C=0;
ca=0; cb=0; cc=0; ans=0;
for(int j=0;j<L;j++){
if(s.charAt(j)=='0'){A|=(1<<(L-j-1)); ca++;}
else if(s.charAt(j)=='1') {B|=(1<<(L-j-1)); cb++;}
else {C|=(1<<(L-j-1)); cc++;}
}
//System.out.println(ca+" "+cb+" "+cc);
if(ca<=cb && ca<=cc){
for(int m=A; m!=0; m=(m-1)&A){
ans+=(1-2*((btcnt[m])&1))*sup[B|m];
}
ans+=sup[B];
}else if(cb<=ca && cb<=cc){
for(int m=B; m!=0; m=(m-1)&B){
ans+=(1-2*((cb-btcnt[m])&1))*sub[C|m];
}
ans+=(1-2*(cb&1))*sub[C];
}else{
for(int m=C; m!=0; m=(m-1)&C){
ans+=S[m|B];
}
//System.out.println(A+" "+B);
ans+=S[B];
}
sb.append(ans).append("\n");
if((i&((1<<17)-1))==0){
System.out.println(sb.toString());
sb=new StringBuilder();
}
}
System.out.println(sb.toString());
}
}
//Debugging:
//Are you sure your algorithm is correct?
//Bounds: long
//Special cases: n=0,1?
//Make sure you remove your debugging code before you submit!
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
10260 KB |
Output is correct |
2 |
Correct |
120 ms |
10272 KB |
Output is correct |
3 |
Correct |
121 ms |
10360 KB |
Output is correct |
4 |
Correct |
124 ms |
10516 KB |
Output is correct |
5 |
Correct |
123 ms |
10388 KB |
Output is correct |
6 |
Correct |
122 ms |
10500 KB |
Output is correct |
7 |
Correct |
124 ms |
10388 KB |
Output is correct |
8 |
Correct |
119 ms |
10388 KB |
Output is correct |
9 |
Correct |
119 ms |
10480 KB |
Output is correct |
10 |
Correct |
119 ms |
10280 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
10260 KB |
Output is correct |
2 |
Correct |
120 ms |
10272 KB |
Output is correct |
3 |
Correct |
121 ms |
10360 KB |
Output is correct |
4 |
Correct |
124 ms |
10516 KB |
Output is correct |
5 |
Correct |
123 ms |
10388 KB |
Output is correct |
6 |
Correct |
122 ms |
10500 KB |
Output is correct |
7 |
Correct |
124 ms |
10388 KB |
Output is correct |
8 |
Correct |
119 ms |
10388 KB |
Output is correct |
9 |
Correct |
119 ms |
10480 KB |
Output is correct |
10 |
Correct |
119 ms |
10280 KB |
Output is correct |
11 |
Correct |
618 ms |
23824 KB |
Output is correct |
12 |
Correct |
612 ms |
23340 KB |
Output is correct |
13 |
Correct |
629 ms |
22796 KB |
Output is correct |
14 |
Correct |
626 ms |
22776 KB |
Output is correct |
15 |
Correct |
615 ms |
23668 KB |
Output is correct |
16 |
Correct |
638 ms |
22836 KB |
Output is correct |
17 |
Correct |
649 ms |
22944 KB |
Output is correct |
18 |
Correct |
547 ms |
24960 KB |
Output is correct |
19 |
Correct |
548 ms |
19804 KB |
Output is correct |
20 |
Correct |
622 ms |
23372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
10260 KB |
Output is correct |
2 |
Correct |
120 ms |
10272 KB |
Output is correct |
3 |
Correct |
121 ms |
10360 KB |
Output is correct |
4 |
Correct |
124 ms |
10516 KB |
Output is correct |
5 |
Correct |
123 ms |
10388 KB |
Output is correct |
6 |
Correct |
122 ms |
10500 KB |
Output is correct |
7 |
Correct |
124 ms |
10388 KB |
Output is correct |
8 |
Correct |
119 ms |
10388 KB |
Output is correct |
9 |
Correct |
119 ms |
10480 KB |
Output is correct |
10 |
Correct |
119 ms |
10280 KB |
Output is correct |
11 |
Correct |
618 ms |
23824 KB |
Output is correct |
12 |
Correct |
612 ms |
23340 KB |
Output is correct |
13 |
Correct |
629 ms |
22796 KB |
Output is correct |
14 |
Correct |
626 ms |
22776 KB |
Output is correct |
15 |
Correct |
615 ms |
23668 KB |
Output is correct |
16 |
Correct |
638 ms |
22836 KB |
Output is correct |
17 |
Correct |
649 ms |
22944 KB |
Output is correct |
18 |
Correct |
547 ms |
24960 KB |
Output is correct |
19 |
Correct |
548 ms |
19804 KB |
Output is correct |
20 |
Correct |
622 ms |
23372 KB |
Output is correct |
21 |
Correct |
680 ms |
23808 KB |
Output is correct |
22 |
Correct |
714 ms |
24176 KB |
Output is correct |
23 |
Correct |
728 ms |
23292 KB |
Output is correct |
24 |
Correct |
716 ms |
23164 KB |
Output is correct |
25 |
Correct |
718 ms |
25000 KB |
Output is correct |
26 |
Correct |
743 ms |
23612 KB |
Output is correct |
27 |
Correct |
758 ms |
23724 KB |
Output is correct |
28 |
Correct |
605 ms |
26312 KB |
Output is correct |
29 |
Correct |
624 ms |
20276 KB |
Output is correct |
30 |
Correct |
685 ms |
24092 KB |
Output is correct |
31 |
Correct |
728 ms |
24028 KB |
Output is correct |
32 |
Correct |
708 ms |
24316 KB |
Output is correct |
33 |
Correct |
680 ms |
23116 KB |
Output is correct |
34 |
Correct |
753 ms |
23244 KB |
Output is correct |
35 |
Correct |
747 ms |
23604 KB |
Output is correct |
36 |
Correct |
548 ms |
20500 KB |
Output is correct |
37 |
Correct |
673 ms |
23904 KB |
Output is correct |
38 |
Correct |
707 ms |
20244 KB |
Output is correct |
39 |
Correct |
725 ms |
23216 KB |
Output is correct |
40 |
Correct |
708 ms |
23044 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
10260 KB |
Output is correct |
2 |
Correct |
120 ms |
10272 KB |
Output is correct |
3 |
Correct |
121 ms |
10360 KB |
Output is correct |
4 |
Correct |
124 ms |
10516 KB |
Output is correct |
5 |
Correct |
123 ms |
10388 KB |
Output is correct |
6 |
Correct |
122 ms |
10500 KB |
Output is correct |
7 |
Correct |
124 ms |
10388 KB |
Output is correct |
8 |
Correct |
119 ms |
10388 KB |
Output is correct |
9 |
Correct |
119 ms |
10480 KB |
Output is correct |
10 |
Correct |
119 ms |
10280 KB |
Output is correct |
11 |
Correct |
482 ms |
40108 KB |
Output is correct |
12 |
Correct |
482 ms |
40112 KB |
Output is correct |
13 |
Correct |
528 ms |
40144 KB |
Output is correct |
14 |
Correct |
533 ms |
39648 KB |
Output is correct |
15 |
Correct |
492 ms |
40652 KB |
Output is correct |
16 |
Correct |
515 ms |
40200 KB |
Output is correct |
17 |
Correct |
516 ms |
40308 KB |
Output is correct |
18 |
Correct |
493 ms |
41332 KB |
Output is correct |
19 |
Correct |
474 ms |
39540 KB |
Output is correct |
20 |
Correct |
478 ms |
40124 KB |
Output is correct |
21 |
Correct |
503 ms |
39992 KB |
Output is correct |
22 |
Correct |
528 ms |
39544 KB |
Output is correct |
23 |
Correct |
481 ms |
39920 KB |
Output is correct |
24 |
Correct |
549 ms |
40084 KB |
Output is correct |
25 |
Correct |
523 ms |
40308 KB |
Output is correct |
26 |
Correct |
464 ms |
39604 KB |
Output is correct |
27 |
Correct |
477 ms |
39956 KB |
Output is correct |
28 |
Correct |
469 ms |
39376 KB |
Output is correct |
29 |
Correct |
524 ms |
40228 KB |
Output is correct |
30 |
Correct |
520 ms |
39776 KB |
Output is correct |
31 |
Correct |
492 ms |
39940 KB |
Output is correct |
32 |
Correct |
527 ms |
40392 KB |
Output is correct |
33 |
Correct |
519 ms |
40076 KB |
Output is correct |
34 |
Correct |
465 ms |
39584 KB |
Output is correct |
35 |
Correct |
516 ms |
40292 KB |
Output is correct |
36 |
Correct |
509 ms |
40184 KB |
Output is correct |
37 |
Correct |
506 ms |
40048 KB |
Output is correct |
38 |
Correct |
518 ms |
40120 KB |
Output is correct |
39 |
Correct |
510 ms |
40304 KB |
Output is correct |
40 |
Correct |
506 ms |
40188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
10260 KB |
Output is correct |
2 |
Correct |
120 ms |
10272 KB |
Output is correct |
3 |
Correct |
121 ms |
10360 KB |
Output is correct |
4 |
Correct |
124 ms |
10516 KB |
Output is correct |
5 |
Correct |
123 ms |
10388 KB |
Output is correct |
6 |
Correct |
122 ms |
10500 KB |
Output is correct |
7 |
Correct |
124 ms |
10388 KB |
Output is correct |
8 |
Correct |
119 ms |
10388 KB |
Output is correct |
9 |
Correct |
119 ms |
10480 KB |
Output is correct |
10 |
Correct |
119 ms |
10280 KB |
Output is correct |
11 |
Correct |
618 ms |
23824 KB |
Output is correct |
12 |
Correct |
612 ms |
23340 KB |
Output is correct |
13 |
Correct |
629 ms |
22796 KB |
Output is correct |
14 |
Correct |
626 ms |
22776 KB |
Output is correct |
15 |
Correct |
615 ms |
23668 KB |
Output is correct |
16 |
Correct |
638 ms |
22836 KB |
Output is correct |
17 |
Correct |
649 ms |
22944 KB |
Output is correct |
18 |
Correct |
547 ms |
24960 KB |
Output is correct |
19 |
Correct |
548 ms |
19804 KB |
Output is correct |
20 |
Correct |
622 ms |
23372 KB |
Output is correct |
21 |
Correct |
680 ms |
23808 KB |
Output is correct |
22 |
Correct |
714 ms |
24176 KB |
Output is correct |
23 |
Correct |
728 ms |
23292 KB |
Output is correct |
24 |
Correct |
716 ms |
23164 KB |
Output is correct |
25 |
Correct |
718 ms |
25000 KB |
Output is correct |
26 |
Correct |
743 ms |
23612 KB |
Output is correct |
27 |
Correct |
758 ms |
23724 KB |
Output is correct |
28 |
Correct |
605 ms |
26312 KB |
Output is correct |
29 |
Correct |
624 ms |
20276 KB |
Output is correct |
30 |
Correct |
685 ms |
24092 KB |
Output is correct |
31 |
Correct |
728 ms |
24028 KB |
Output is correct |
32 |
Correct |
708 ms |
24316 KB |
Output is correct |
33 |
Correct |
680 ms |
23116 KB |
Output is correct |
34 |
Correct |
753 ms |
23244 KB |
Output is correct |
35 |
Correct |
747 ms |
23604 KB |
Output is correct |
36 |
Correct |
548 ms |
20500 KB |
Output is correct |
37 |
Correct |
673 ms |
23904 KB |
Output is correct |
38 |
Correct |
707 ms |
20244 KB |
Output is correct |
39 |
Correct |
725 ms |
23216 KB |
Output is correct |
40 |
Correct |
708 ms |
23044 KB |
Output is correct |
41 |
Correct |
482 ms |
40108 KB |
Output is correct |
42 |
Correct |
482 ms |
40112 KB |
Output is correct |
43 |
Correct |
528 ms |
40144 KB |
Output is correct |
44 |
Correct |
533 ms |
39648 KB |
Output is correct |
45 |
Correct |
492 ms |
40652 KB |
Output is correct |
46 |
Correct |
515 ms |
40200 KB |
Output is correct |
47 |
Correct |
516 ms |
40308 KB |
Output is correct |
48 |
Correct |
493 ms |
41332 KB |
Output is correct |
49 |
Correct |
474 ms |
39540 KB |
Output is correct |
50 |
Correct |
478 ms |
40124 KB |
Output is correct |
51 |
Correct |
503 ms |
39992 KB |
Output is correct |
52 |
Correct |
528 ms |
39544 KB |
Output is correct |
53 |
Correct |
481 ms |
39920 KB |
Output is correct |
54 |
Correct |
549 ms |
40084 KB |
Output is correct |
55 |
Correct |
523 ms |
40308 KB |
Output is correct |
56 |
Correct |
464 ms |
39604 KB |
Output is correct |
57 |
Correct |
477 ms |
39956 KB |
Output is correct |
58 |
Correct |
469 ms |
39376 KB |
Output is correct |
59 |
Correct |
524 ms |
40228 KB |
Output is correct |
60 |
Correct |
520 ms |
39776 KB |
Output is correct |
61 |
Correct |
492 ms |
39940 KB |
Output is correct |
62 |
Correct |
527 ms |
40392 KB |
Output is correct |
63 |
Correct |
519 ms |
40076 KB |
Output is correct |
64 |
Correct |
465 ms |
39584 KB |
Output is correct |
65 |
Correct |
516 ms |
40292 KB |
Output is correct |
66 |
Correct |
509 ms |
40184 KB |
Output is correct |
67 |
Correct |
506 ms |
40048 KB |
Output is correct |
68 |
Correct |
518 ms |
40120 KB |
Output is correct |
69 |
Correct |
510 ms |
40304 KB |
Output is correct |
70 |
Correct |
506 ms |
40188 KB |
Output is correct |
71 |
Correct |
966 ms |
57168 KB |
Output is correct |
72 |
Correct |
997 ms |
56024 KB |
Output is correct |
73 |
Correct |
1262 ms |
49964 KB |
Output is correct |
74 |
Correct |
1515 ms |
50108 KB |
Output is correct |
75 |
Correct |
1016 ms |
59388 KB |
Output is correct |
76 |
Correct |
1527 ms |
56208 KB |
Output is correct |
77 |
Correct |
1533 ms |
56292 KB |
Output is correct |
78 |
Correct |
780 ms |
63128 KB |
Output is correct |
79 |
Correct |
922 ms |
51188 KB |
Output is correct |
80 |
Correct |
997 ms |
55868 KB |
Output is correct |
81 |
Correct |
1232 ms |
57168 KB |
Output is correct |
82 |
Correct |
1529 ms |
54400 KB |
Output is correct |
83 |
Correct |
985 ms |
53280 KB |
Output is correct |
84 |
Correct |
1744 ms |
55880 KB |
Output is correct |
85 |
Correct |
1536 ms |
56196 KB |
Output is correct |
86 |
Correct |
738 ms |
51232 KB |
Output is correct |
87 |
Correct |
959 ms |
57452 KB |
Output is correct |
88 |
Correct |
948 ms |
50860 KB |
Output is correct |
89 |
Correct |
1211 ms |
55436 KB |
Output is correct |
90 |
Correct |
1224 ms |
54628 KB |
Output is correct |
91 |
Correct |
1012 ms |
53560 KB |
Output is correct |
92 |
Correct |
1624 ms |
56684 KB |
Output is correct |
93 |
Correct |
1539 ms |
55992 KB |
Output is correct |
94 |
Correct |
712 ms |
51488 KB |
Output is correct |
95 |
Correct |
1353 ms |
55960 KB |
Output is correct |
96 |
Correct |
1365 ms |
56016 KB |
Output is correct |
97 |
Correct |
1355 ms |
55932 KB |
Output is correct |
98 |
Correct |
1349 ms |
55796 KB |
Output is correct |
99 |
Correct |
1352 ms |
55920 KB |
Output is correct |
100 |
Correct |
1354 ms |
56008 KB |
Output is correct |