#define _USE_MATH_DEFINES
#include <iostream>
#include <fstream>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cstring>
#include <cassert>
#include <string>
#include <vector>
#include <utility>
#include <complex>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <deque>
#include <tuple>
#include <bitset>
#include <limits>
#include <algorithm>
#include <array>z
#include <random>
#include <complex>
#include <regex>
using namespace std;
typedef long double ld;
typedef long long ll;
typedef vector<int> vint;
typedef vector<ll> vll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<double, double> pdd;
typedef complex<ld> compd;
#define quickIO() {cin.tie(0); cout.sync_with_stdio(false);}
#define reach(i,a) for(auto i:a)
#define rep(i,n) for(int i=0;i<((int)n);i++)
#define REP(i,n) for(int i=0;i<=((int)n);i++)
#define srep(i,a,n) for(int i=a;i<((int)n);i++)
#define SREP(i,a,n) for(int i=a;i<=((int)n);i++)
#define rrep(i,n) for(int i=n-1;i>=0;i--)
#define RREP(i,n) for(int i=n;i>=0;i--)
#define all(a) (a).begin(),(a).end()
#define mp(a,b) make_pair(a,b)
#define mt make_tuple
#define pb push_back
template<typename T> istream& operator >> (istream& is, vector<T>& vec) {
for (T& x : vec) is >> x;
return is;
}
template<typename T> ostream& operator << (ostream& os, vector<T>& vec) {
os << "[";
rep(i, vec.size()) os << (i ? ", " : "") << vec[i];
os << "]";
return os;
}
template<typename T> istream& operator >> (istream& is, pair<T, T>& p) {
is >> p.first >> p.second;
return is;
}
template<typename T> ostream& operator << (ostream& os, pair<T, T>& p) {
os << "(" << p.first << ", " << p.second << ")";
return os;
}
int bitcnt(ll x) {
x = ((x & 0xAAAAAAAAAAAAAAAA) >> 1) + (x & 0x5555555555555555);
x = ((x & 0xCCCCCCCCCCCCCCCC) >> 2) + (x & 0x3333333333333333);
x = ((x & 0xF0F0F0F0F0F0F0F0) >> 4) + (x & 0x0F0F0F0F0F0F0F0F);
x = ((x & 0xFF00FF00FF00FF00) >> 8) + (x & 0x00FF00FF00FF00FF);
x = ((x & 0xFFFF0000FFFF0000) >> 16) + (x & 0x0000FFFF0000FFFF);
x = ((x & 0xFFFFFFFF00000000) >> 32) + (x & 0x00000000FFFFFFFF);
return x;
}
int bitcnt(int x) {
x = ((x & 0xAAAAAAAA) >> 1) + (x & 0x55555555);
x = ((x & 0xCCCCCCCC) >> 2) + (x & 0x33333333);
x = ((x & 0xF0F0F0F0) >> 4) + (x & 0x0F0F0F0F);
x = ((x & 0xFF00FF00) >> 8) + (x & 0x00FF00FF);
x = ((x & 0xFFFF0000) >> 16) + (x & 0x0000FFFF);
return x;
}
ll sqrtll(ll x) {
ll left = 0, right = x;
rep(i, 100) {
ll mid = (left + right) >> 1;
if (mid*mid <= x) left = mid;
else right = mid;
}
return left;
}
ll gcd(ll a, ll b) {
return b == 0 ? a : gcd(b, a%b);
}
#define debug(x) printf("Case #%d: ", x)
#define DEBUG 0
const ll inf = 1e18;
const ld infl = 1e100;
const ll mod = 1e9+7;
const ld eps = 1e-9;
const int dx[] = { 1,0,-1,0,0 };
const int dy[] = { 0,1,0,-1,0 };
const string dir = "ESWNX";
int H, W, T, N;
string maps[22];
vector<tuple<int, int, int>> iwashi;
int iwashiMap[22][22];
int nextIwashiMap[22][22];
double addMap[22][22];
double scoreMap[22][22];
int distanceMap[22][22];
int main() {
cin >> H >> W >> T >> N;
int px, py; cin >> px >> py;
px--; py--;
rep(i, H) cin >> maps[i];
rep(i, N) {
int x, y, t; cin >> x >> y >> t;
y--; x--;
iwashi.push_back(mt(t, x, y));
}
sort(all(iwashi));
while (get<0>(iwashi[0]) == 0) {
int x, y, t;
tie(t, x, y) = iwashi[0];
cout << x << " " << y << endl;
iwashiMap[y][x]++;
iwashi.erase(iwashi.begin());
}
string ret = "";
int score = 0;
int paralyzed = 0;
SREP(t, 1, T) {
cerr << "turn:"<<t << " "<<score<<endl;
if (paralyzed > 0) {
ret += "A";
}
else {
rep(i, H) rep(j, W) scoreMap[i][j] = 0;
rep(i, H) rep(j, W) {
if (maps[i][j] == '#') continue;
if (iwashiMap[i][j] > 0) {
rep(y, H) rep(x, W) addMap[y][x] = 0;
queue<pii> q;
if (iwashiMap[i][j] <= 5) {
addMap[i][j] = iwashiMap[i][j] * 2;
}
else {
addMap[i][j] = -10;
}
q.push(mp(i, j));
while (!q.empty()) {
int x = q.front().second, y = q.front().first;
q.pop();
double val = addMap[y][x];
rep(k, 4) {
int nx = x + dx[k];
int ny = y + dy[k];
if (maps[ny][nx] == '#') continue;
if (addMap[ny][nx] == 0.0) {
addMap[ny][nx] = val * 0.5;
q.push(mp(ny, nx));
}
}
}
rep(i, H) rep(j, W) scoreMap[i][j] += addMap[i][j];
}
}
int to = 4;
rep(i, 4) {
if (maps[py + dy[i]][px + dx[i]] == '#') continue;
if (scoreMap[py + dy[to]][px + dx[to]] - scoreMap[py + dy[i]][px + dx[i]] < eps) {
to = i;
}
}
px += dx[to];
py += dy[to];
ret += dir[to];
}
rep(i, H) rep(j, W) nextIwashiMap[i][j] = 0;
rep(i, H) rep(j, W) {
if (maps[i][j] == '#') continue;
if (nextIwashiMap[i][j] > 0) {
nextIwashiMap[i][j] += iwashiMap[i][j];
continue;
}
queue<pii> q;
rep(y, H) rep(x, W) {
if (maps[y][x] != '#' && iwashiMap[y][x] > 0 && !(y == i && x == j)) {
distanceMap[y][x] = 0;
q.push(mp(y, x));
}
else distanceMap[y][x] = W * H;
}
if (paralyzed == 0) {
distanceMap[py][px] = 0;
q.push(mp(py, px));
}
while (!q.empty()) {
int x = q.front().second, y = q.front().first;
q.pop();
rep(k, 4) {
int nx = x + dx[k];
int ny = y + dy[k];
if (maps[ny][nx] == '#') continue;
if (distanceMap[y][x] + 1 < distanceMap[ny][nx]) {
distanceMap[ny][nx] = distanceMap[y][x] + 1;
q.push(mp(ny, nx));
}
}
}
rep(k, 5) {
int ny = i + dy[k];
int nx = j + dx[k];
if (maps[ny][nx] == '#') continue;
if (distanceMap[i][j] > distanceMap[ny][nx] || k == 4) {
nextIwashiMap[ny][nx] += iwashiMap[i][j];
break;
}
}
}
rep(i, H) rep(j, W) iwashiMap[i][j] = nextIwashiMap[i][j];
while ((!iwashi.empty()) && get<0>(iwashi[0]) == t) {
int x, y, hogeT;
tie(hogeT, x, y) = iwashi[0];
iwashiMap[y][x]++;
iwashi.erase(iwashi.begin());
}
if (paralyzed > 0) {
paralyzed--;
}
else if (0 < iwashiMap[py][px] && iwashiMap[py][px] <= 5) {
score += iwashiMap[py][px];
iwashiMap[py][px] = 0;
}
else if (iwashiMap[py][px] > 5) {
paralyzed += 5;
iwashiMap[py][px] = 0;
}
}
cerr << "score:" << (double)score / N << endl;
cout << ret << endl;
return 0;
}Battle History