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*((btcnt[m])&1))*sub[C|(B^m)];
}
ans+=sub[C|B];
}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 |
119 ms |
10388 KB |
Output is correct |
2 |
Correct |
124 ms |
10504 KB |
Output is correct |
3 |
Correct |
131 ms |
10516 KB |
Output is correct |
4 |
Correct |
125 ms |
10444 KB |
Output is correct |
5 |
Correct |
119 ms |
10388 KB |
Output is correct |
6 |
Correct |
128 ms |
10356 KB |
Output is correct |
7 |
Correct |
128 ms |
10244 KB |
Output is correct |
8 |
Correct |
123 ms |
10352 KB |
Output is correct |
9 |
Correct |
119 ms |
10388 KB |
Output is correct |
10 |
Correct |
125 ms |
10260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
119 ms |
10388 KB |
Output is correct |
2 |
Correct |
124 ms |
10504 KB |
Output is correct |
3 |
Correct |
131 ms |
10516 KB |
Output is correct |
4 |
Correct |
125 ms |
10444 KB |
Output is correct |
5 |
Correct |
119 ms |
10388 KB |
Output is correct |
6 |
Correct |
128 ms |
10356 KB |
Output is correct |
7 |
Correct |
128 ms |
10244 KB |
Output is correct |
8 |
Correct |
123 ms |
10352 KB |
Output is correct |
9 |
Correct |
119 ms |
10388 KB |
Output is correct |
10 |
Correct |
125 ms |
10260 KB |
Output is correct |
11 |
Correct |
619 ms |
24716 KB |
Output is correct |
12 |
Correct |
607 ms |
24408 KB |
Output is correct |
13 |
Correct |
627 ms |
23600 KB |
Output is correct |
14 |
Correct |
621 ms |
23940 KB |
Output is correct |
15 |
Correct |
618 ms |
24760 KB |
Output is correct |
16 |
Correct |
632 ms |
23968 KB |
Output is correct |
17 |
Correct |
647 ms |
23956 KB |
Output is correct |
18 |
Correct |
540 ms |
25724 KB |
Output is correct |
19 |
Correct |
561 ms |
20832 KB |
Output is correct |
20 |
Correct |
606 ms |
24412 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
119 ms |
10388 KB |
Output is correct |
2 |
Correct |
124 ms |
10504 KB |
Output is correct |
3 |
Correct |
131 ms |
10516 KB |
Output is correct |
4 |
Correct |
125 ms |
10444 KB |
Output is correct |
5 |
Correct |
119 ms |
10388 KB |
Output is correct |
6 |
Correct |
128 ms |
10356 KB |
Output is correct |
7 |
Correct |
128 ms |
10244 KB |
Output is correct |
8 |
Correct |
123 ms |
10352 KB |
Output is correct |
9 |
Correct |
119 ms |
10388 KB |
Output is correct |
10 |
Correct |
125 ms |
10260 KB |
Output is correct |
11 |
Correct |
619 ms |
24716 KB |
Output is correct |
12 |
Correct |
607 ms |
24408 KB |
Output is correct |
13 |
Correct |
627 ms |
23600 KB |
Output is correct |
14 |
Correct |
621 ms |
23940 KB |
Output is correct |
15 |
Correct |
618 ms |
24760 KB |
Output is correct |
16 |
Correct |
632 ms |
23968 KB |
Output is correct |
17 |
Correct |
647 ms |
23956 KB |
Output is correct |
18 |
Correct |
540 ms |
25724 KB |
Output is correct |
19 |
Correct |
561 ms |
20832 KB |
Output is correct |
20 |
Correct |
606 ms |
24412 KB |
Output is correct |
21 |
Correct |
669 ms |
25164 KB |
Output is correct |
22 |
Correct |
709 ms |
25272 KB |
Output is correct |
23 |
Correct |
748 ms |
24024 KB |
Output is correct |
24 |
Correct |
717 ms |
24140 KB |
Output is correct |
25 |
Correct |
711 ms |
26192 KB |
Output is correct |
26 |
Correct |
743 ms |
24624 KB |
Output is correct |
27 |
Correct |
756 ms |
24636 KB |
Output is correct |
28 |
Correct |
636 ms |
27480 KB |
Output is correct |
29 |
Correct |
629 ms |
21308 KB |
Output is correct |
30 |
Correct |
695 ms |
25216 KB |
Output is correct |
31 |
Correct |
738 ms |
25288 KB |
Output is correct |
32 |
Correct |
728 ms |
25268 KB |
Output is correct |
33 |
Correct |
693 ms |
24064 KB |
Output is correct |
34 |
Correct |
759 ms |
24096 KB |
Output is correct |
35 |
Correct |
754 ms |
24784 KB |
Output is correct |
36 |
Correct |
556 ms |
21324 KB |
Output is correct |
37 |
Correct |
672 ms |
25260 KB |
Output is correct |
38 |
Correct |
704 ms |
21428 KB |
Output is correct |
39 |
Correct |
717 ms |
24244 KB |
Output is correct |
40 |
Correct |
704 ms |
24128 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
119 ms |
10388 KB |
Output is correct |
2 |
Correct |
124 ms |
10504 KB |
Output is correct |
3 |
Correct |
131 ms |
10516 KB |
Output is correct |
4 |
Correct |
125 ms |
10444 KB |
Output is correct |
5 |
Correct |
119 ms |
10388 KB |
Output is correct |
6 |
Correct |
128 ms |
10356 KB |
Output is correct |
7 |
Correct |
128 ms |
10244 KB |
Output is correct |
8 |
Correct |
123 ms |
10352 KB |
Output is correct |
9 |
Correct |
119 ms |
10388 KB |
Output is correct |
10 |
Correct |
125 ms |
10260 KB |
Output is correct |
11 |
Correct |
493 ms |
40892 KB |
Output is correct |
12 |
Correct |
488 ms |
41260 KB |
Output is correct |
13 |
Correct |
537 ms |
41156 KB |
Output is correct |
14 |
Correct |
533 ms |
40656 KB |
Output is correct |
15 |
Correct |
499 ms |
41884 KB |
Output is correct |
16 |
Correct |
521 ms |
41016 KB |
Output is correct |
17 |
Correct |
519 ms |
40952 KB |
Output is correct |
18 |
Correct |
488 ms |
42136 KB |
Output is correct |
19 |
Correct |
473 ms |
40492 KB |
Output is correct |
20 |
Correct |
480 ms |
40892 KB |
Output is correct |
21 |
Correct |
504 ms |
41148 KB |
Output is correct |
22 |
Correct |
543 ms |
40388 KB |
Output is correct |
23 |
Correct |
491 ms |
40632 KB |
Output is correct |
24 |
Correct |
535 ms |
40684 KB |
Output is correct |
25 |
Correct |
523 ms |
40844 KB |
Output is correct |
26 |
Correct |
465 ms |
40208 KB |
Output is correct |
27 |
Correct |
493 ms |
40628 KB |
Output is correct |
28 |
Correct |
476 ms |
40088 KB |
Output is correct |
29 |
Correct |
538 ms |
40652 KB |
Output is correct |
30 |
Correct |
531 ms |
40260 KB |
Output is correct |
31 |
Correct |
499 ms |
40292 KB |
Output is correct |
32 |
Correct |
535 ms |
40504 KB |
Output is correct |
33 |
Correct |
525 ms |
40408 KB |
Output is correct |
34 |
Correct |
474 ms |
40180 KB |
Output is correct |
35 |
Correct |
512 ms |
40652 KB |
Output is correct |
36 |
Correct |
512 ms |
40640 KB |
Output is correct |
37 |
Correct |
510 ms |
40440 KB |
Output is correct |
38 |
Correct |
508 ms |
40364 KB |
Output is correct |
39 |
Correct |
506 ms |
40368 KB |
Output is correct |
40 |
Correct |
520 ms |
40352 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
119 ms |
10388 KB |
Output is correct |
2 |
Correct |
124 ms |
10504 KB |
Output is correct |
3 |
Correct |
131 ms |
10516 KB |
Output is correct |
4 |
Correct |
125 ms |
10444 KB |
Output is correct |
5 |
Correct |
119 ms |
10388 KB |
Output is correct |
6 |
Correct |
128 ms |
10356 KB |
Output is correct |
7 |
Correct |
128 ms |
10244 KB |
Output is correct |
8 |
Correct |
123 ms |
10352 KB |
Output is correct |
9 |
Correct |
119 ms |
10388 KB |
Output is correct |
10 |
Correct |
125 ms |
10260 KB |
Output is correct |
11 |
Correct |
619 ms |
24716 KB |
Output is correct |
12 |
Correct |
607 ms |
24408 KB |
Output is correct |
13 |
Correct |
627 ms |
23600 KB |
Output is correct |
14 |
Correct |
621 ms |
23940 KB |
Output is correct |
15 |
Correct |
618 ms |
24760 KB |
Output is correct |
16 |
Correct |
632 ms |
23968 KB |
Output is correct |
17 |
Correct |
647 ms |
23956 KB |
Output is correct |
18 |
Correct |
540 ms |
25724 KB |
Output is correct |
19 |
Correct |
561 ms |
20832 KB |
Output is correct |
20 |
Correct |
606 ms |
24412 KB |
Output is correct |
21 |
Correct |
669 ms |
25164 KB |
Output is correct |
22 |
Correct |
709 ms |
25272 KB |
Output is correct |
23 |
Correct |
748 ms |
24024 KB |
Output is correct |
24 |
Correct |
717 ms |
24140 KB |
Output is correct |
25 |
Correct |
711 ms |
26192 KB |
Output is correct |
26 |
Correct |
743 ms |
24624 KB |
Output is correct |
27 |
Correct |
756 ms |
24636 KB |
Output is correct |
28 |
Correct |
636 ms |
27480 KB |
Output is correct |
29 |
Correct |
629 ms |
21308 KB |
Output is correct |
30 |
Correct |
695 ms |
25216 KB |
Output is correct |
31 |
Correct |
738 ms |
25288 KB |
Output is correct |
32 |
Correct |
728 ms |
25268 KB |
Output is correct |
33 |
Correct |
693 ms |
24064 KB |
Output is correct |
34 |
Correct |
759 ms |
24096 KB |
Output is correct |
35 |
Correct |
754 ms |
24784 KB |
Output is correct |
36 |
Correct |
556 ms |
21324 KB |
Output is correct |
37 |
Correct |
672 ms |
25260 KB |
Output is correct |
38 |
Correct |
704 ms |
21428 KB |
Output is correct |
39 |
Correct |
717 ms |
24244 KB |
Output is correct |
40 |
Correct |
704 ms |
24128 KB |
Output is correct |
41 |
Correct |
493 ms |
40892 KB |
Output is correct |
42 |
Correct |
488 ms |
41260 KB |
Output is correct |
43 |
Correct |
537 ms |
41156 KB |
Output is correct |
44 |
Correct |
533 ms |
40656 KB |
Output is correct |
45 |
Correct |
499 ms |
41884 KB |
Output is correct |
46 |
Correct |
521 ms |
41016 KB |
Output is correct |
47 |
Correct |
519 ms |
40952 KB |
Output is correct |
48 |
Correct |
488 ms |
42136 KB |
Output is correct |
49 |
Correct |
473 ms |
40492 KB |
Output is correct |
50 |
Correct |
480 ms |
40892 KB |
Output is correct |
51 |
Correct |
504 ms |
41148 KB |
Output is correct |
52 |
Correct |
543 ms |
40388 KB |
Output is correct |
53 |
Correct |
491 ms |
40632 KB |
Output is correct |
54 |
Correct |
535 ms |
40684 KB |
Output is correct |
55 |
Correct |
523 ms |
40844 KB |
Output is correct |
56 |
Correct |
465 ms |
40208 KB |
Output is correct |
57 |
Correct |
493 ms |
40628 KB |
Output is correct |
58 |
Correct |
476 ms |
40088 KB |
Output is correct |
59 |
Correct |
538 ms |
40652 KB |
Output is correct |
60 |
Correct |
531 ms |
40260 KB |
Output is correct |
61 |
Correct |
499 ms |
40292 KB |
Output is correct |
62 |
Correct |
535 ms |
40504 KB |
Output is correct |
63 |
Correct |
525 ms |
40408 KB |
Output is correct |
64 |
Correct |
474 ms |
40180 KB |
Output is correct |
65 |
Correct |
512 ms |
40652 KB |
Output is correct |
66 |
Correct |
512 ms |
40640 KB |
Output is correct |
67 |
Correct |
510 ms |
40440 KB |
Output is correct |
68 |
Correct |
508 ms |
40364 KB |
Output is correct |
69 |
Correct |
506 ms |
40368 KB |
Output is correct |
70 |
Correct |
520 ms |
40352 KB |
Output is correct |
71 |
Correct |
998 ms |
65536 KB |
Output is correct |
72 |
Correct |
1027 ms |
65536 KB |
Output is correct |
73 |
Correct |
1280 ms |
62396 KB |
Output is correct |
74 |
Correct |
1537 ms |
63908 KB |
Output is correct |
75 |
Correct |
1044 ms |
65536 KB |
Output is correct |
76 |
Correct |
1571 ms |
65536 KB |
Output is correct |
77 |
Correct |
1564 ms |
65536 KB |
Output is correct |
78 |
Correct |
789 ms |
65536 KB |
Output is correct |
79 |
Correct |
943 ms |
65536 KB |
Output is correct |
80 |
Correct |
1043 ms |
65536 KB |
Output is correct |
81 |
Correct |
1317 ms |
65536 KB |
Output is correct |
82 |
Correct |
1660 ms |
65536 KB |
Output is correct |
83 |
Correct |
994 ms |
65536 KB |
Output is correct |
84 |
Correct |
1752 ms |
65536 KB |
Output is correct |
85 |
Correct |
1542 ms |
65536 KB |
Output is correct |
86 |
Correct |
720 ms |
65536 KB |
Output is correct |
87 |
Correct |
963 ms |
65536 KB |
Output is correct |
88 |
Correct |
967 ms |
65536 KB |
Output is correct |
89 |
Correct |
1242 ms |
65536 KB |
Output is correct |
90 |
Correct |
1314 ms |
65536 KB |
Output is correct |
91 |
Correct |
1026 ms |
65536 KB |
Output is correct |
92 |
Correct |
1639 ms |
65536 KB |
Output is correct |
93 |
Correct |
1547 ms |
65536 KB |
Output is correct |
94 |
Correct |
714 ms |
65536 KB |
Output is correct |
95 |
Correct |
1375 ms |
65536 KB |
Output is correct |
96 |
Correct |
1361 ms |
65536 KB |
Output is correct |
97 |
Correct |
1363 ms |
65536 KB |
Output is correct |
98 |
Correct |
1357 ms |
65536 KB |
Output is correct |
99 |
Correct |
1370 ms |
65536 KB |
Output is correct |
100 |
Correct |
1350 ms |
65536 KB |
Output is correct |