import java.io.*; import java.util.*;
public class nautilus{
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());
}
}
static int MOD=998244353;
static long[][] map;
static long[][] dp;
static long[] ans;
static int R,C;
public static void main(String[] args){
/*
for (int i = 0; i < 2; i++) {
for (int j = 0; j < 65; j++) {
System.out.print(".");
}
System.out.println("");
}*/
FastReader br=new FastReader();
R=br.nextInt(); C=br.nextInt();int M=br.nextInt();
map=new long[R][(C+63)/64]; String s;
for (int i = 0; i < R; i++) {//Setting up the map
s=br.next();
for (int j = 0; j < C; j+=64) {
for (int k = 0; k <Math.min(C-j,64); k++) {
if(j+k<C && s.charAt(j+k)=='.'){
map[i][j/64]|=(long) 1<<k;
//System.out.println(i+"::"+j+"::"+map[i][j/64]);
}
}
}
}
s=br.next(); dp=new long[R][(C+63)/64];
for(int i=0;i<R;i++){
for(int j=0;j<(C+63)/64; j++){
dp[i][j]=map[i][j];//All positions are reachable with 0 moves
}
}
for (int i = 0; i < M; i++) {
if(s.charAt(i)=='E'){//Shift right
for (int j = 0; j < R; j++) {
ans=new long[(C+63)/64];
shift(dp[j],1,j);
for (int k = 0; k < (C+63)/64; k++) {
dp[j][k]=ans[k];
}
}
}else if(s.charAt(i)=='W'){
for (int j = 0; j < R; j++) {
ans=new long[(C+63)/64];
shift(dp[j],-1,j);
for (int k = 0; k < (C+63)/64; k++) {
dp[j][k]=ans[k];
}
}
}else if(s.charAt(i)=='N'){
for (int j = 0; j < R-1; j++) {
for (int k = 0; k <(C+63)/64; k++) {
dp[j][k]=dp[1+j][k]&map[j][k];
}
}
Arrays.fill(dp[R-1],0);
}else if(s.charAt(i)=='S'){
for (int j = R-1; j > 0; j--) {
for (int k = 0; k <(C+63)/64; k++) {
dp[j][k]=dp[j-1][k]&map[j][k];
}
}
Arrays.fill(dp[0],0);
}else{//Take the OR of all four, then AND the map
long[][] a=new long[R][(C+63)/64];
for (int j = 0; j <R; j++) {
ans=new long[(C+63)/64];
shift(dp[j],1,j);
for (int k = 0; k < (C+63)/64;k++) {
a[j][k]=ans[k];
}
ans=new long[(C+63)/64];
shift(dp[j],-1,j);
for (int k = 0; k < (C+63)/64;k++) {
a[j][k]|=ans[k];
}
if(j>0){
for (int k = 0; k <(C+63)/64; k++) {
a[j][k]|=dp[j-1][k];
}
}
if(j<R-1){
for (int k = 0; k <(C+63)/64; k++) {
a[j][k]|=dp[j+1][k];
}
}
//Do I need to make a[.][k] 0? No! They would not be affected because I have ORed them with the correct stuff.
for (int k = 0; k <(C+63)/64; k++) {
a[j][k]&=map[j][k];
}
}
for(int k=0;k<R;k++){
for(int j=0;j<(C+63)/64; j++){
dp[k][j]=a[k][j];
}
}
}
}
int res=0;
for (int i = 0; i < R; i++) {
for (int j = 0; j <(C+63)/64; j++) {
res+=Long.bitCount(dp[i][j]);
}
}
System.out.println(res);
}
public static void shift(long[] a, int c, int ind){
int len=(63+C)/64; ans=new long[len];
if(c==1){
long x=(long) 1<<63;
for (int i = 0; i < len-1; i++) {
long b=a[i]&(x-1);
ans[i]|=((long) b<<1);
long d=a[i]>>>63;//3>'s, 2>'s don't work
ans[i+1]|=d;
}
//Take care of last bit
ans[len-1]|=(a[len-1]<<1);
}else{//c=-1
ans[0]=a[0]>>>1;
for (int i = 1; i < len; i++) {
long b=a[i]&1;
ans[i-1]|=((long)b<<63);
ans[i]|=a[i]>>>1;
}
}
for (int i = 0; i <(C+63)/64; i++) {
ans[i]&=map[ind][i];
}
}
}
//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 |
124 ms |
10420 KB |
Output is correct |
2 |
Correct |
130 ms |
10484 KB |
Output is correct |
3 |
Correct |
123 ms |
10404 KB |
Output is correct |
4 |
Correct |
132 ms |
10472 KB |
Output is correct |
5 |
Correct |
124 ms |
10304 KB |
Output is correct |
6 |
Correct |
136 ms |
10448 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
124 ms |
10420 KB |
Output is correct |
2 |
Correct |
130 ms |
10484 KB |
Output is correct |
3 |
Correct |
123 ms |
10404 KB |
Output is correct |
4 |
Correct |
132 ms |
10472 KB |
Output is correct |
5 |
Correct |
124 ms |
10304 KB |
Output is correct |
6 |
Correct |
136 ms |
10448 KB |
Output is correct |
7 |
Correct |
131 ms |
10796 KB |
Output is correct |
8 |
Correct |
140 ms |
10796 KB |
Output is correct |
9 |
Correct |
128 ms |
10876 KB |
Output is correct |
10 |
Correct |
128 ms |
10924 KB |
Output is correct |
11 |
Correct |
141 ms |
10924 KB |
Output is correct |
12 |
Correct |
193 ms |
15252 KB |
Output is correct |
13 |
Correct |
183 ms |
15272 KB |
Output is correct |
14 |
Correct |
172 ms |
15148 KB |
Output is correct |
15 |
Correct |
182 ms |
15276 KB |
Output is correct |
16 |
Correct |
177 ms |
15056 KB |
Output is correct |
17 |
Correct |
159 ms |
13128 KB |
Output is correct |
18 |
Correct |
182 ms |
13392 KB |
Output is correct |
19 |
Correct |
159 ms |
13128 KB |
Output is correct |
20 |
Correct |
156 ms |
13112 KB |
Output is correct |
21 |
Correct |
161 ms |
13256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
124 ms |
10420 KB |
Output is correct |
2 |
Correct |
130 ms |
10484 KB |
Output is correct |
3 |
Correct |
123 ms |
10404 KB |
Output is correct |
4 |
Correct |
132 ms |
10472 KB |
Output is correct |
5 |
Correct |
124 ms |
10304 KB |
Output is correct |
6 |
Correct |
136 ms |
10448 KB |
Output is correct |
7 |
Correct |
131 ms |
10796 KB |
Output is correct |
8 |
Correct |
140 ms |
10796 KB |
Output is correct |
9 |
Correct |
128 ms |
10876 KB |
Output is correct |
10 |
Correct |
128 ms |
10924 KB |
Output is correct |
11 |
Correct |
141 ms |
10924 KB |
Output is correct |
12 |
Correct |
193 ms |
15252 KB |
Output is correct |
13 |
Correct |
183 ms |
15272 KB |
Output is correct |
14 |
Correct |
172 ms |
15148 KB |
Output is correct |
15 |
Correct |
182 ms |
15276 KB |
Output is correct |
16 |
Correct |
177 ms |
15056 KB |
Output is correct |
17 |
Correct |
159 ms |
13128 KB |
Output is correct |
18 |
Correct |
182 ms |
13392 KB |
Output is correct |
19 |
Correct |
159 ms |
13128 KB |
Output is correct |
20 |
Correct |
156 ms |
13112 KB |
Output is correct |
21 |
Correct |
161 ms |
13256 KB |
Output is correct |
22 |
Correct |
738 ms |
22236 KB |
Output is correct |
23 |
Correct |
669 ms |
21340 KB |
Output is correct |
24 |
Correct |
645 ms |
21596 KB |
Output is correct |
25 |
Correct |
654 ms |
21244 KB |
Output is correct |
26 |
Correct |
784 ms |
23208 KB |
Output is correct |
27 |
Correct |
880 ms |
22064 KB |
Output is correct |
28 |
Correct |
875 ms |
21468 KB |
Output is correct |
29 |
Correct |
858 ms |
21232 KB |
Output is correct |
30 |
Correct |
859 ms |
21212 KB |
Output is correct |
31 |
Correct |
976 ms |
23120 KB |
Output is correct |
32 |
Correct |
935 ms |
21924 KB |
Output is correct |
33 |
Correct |
888 ms |
20760 KB |
Output is correct |
34 |
Correct |
906 ms |
20800 KB |
Output is correct |
35 |
Correct |
907 ms |
20768 KB |
Output is correct |
36 |
Execution timed out |
1049 ms |
22988 KB |
Time limit exceeded |