The robot is located on a checkered rectangular board of size n × m (n rows, m columns). The rows in the board are numbered from 1 to n from top to bottom, and the columns — from 1 to m from left to right.

The robot is able to move from the current cell to one of the four cells adjacent by side.

The sequence of commands s executed by the robot is given. Each command is denoted by one of the symbols 'L', 'R', 'D' or 'U', and triggers the movement to left, right, down or up, respectively.

The robot can start its movement in any cell. The robot executes the commands starting from the first one, strictly in the order in which they are listed in s. If the robot moves beyond the edge of the board, it falls and breaks. A command that causes the robot to break is not considered successfully executed.

The robot's task is to execute as many commands as possible without falling off the board. For example, on board 3 × 3, if the robot starts a sequence of actions s="RRDLUU" ("right", "right", "down", "left", "up", "up") from the central cell, the robot will perform one command, then the next command will force him to cross the edge. If the robot starts moving from the cell (2, 1) (second row, first column) then all commands will be executed successfully and the robot will stop at the cell (1, 2) (first row, second column).

<image> The robot starts from cell (2, 1) (second row, first column). It moves right, right, down, left, up, and up. In this case it ends in the cell (1, 2) (first row, second column).

Determine the cell from which the robot should start its movement in order to execute as many commands as possible.

Input

The first line contains an integer t (1 ≤ t ≤ 10^4) — the number of test cases.

The next 2t lines contain descriptions of the test cases.

In the description of each test case, the first line contains two integers n and m (1 ≤ n, m ≤ 10^6) — the height and width of the field that the robot is located on. The second line of the description is a string s consisting solely of characters 'L', 'R', 'D' and 'U' — the sequence of commands the robot executes. The string has a length from 1 to 10^6 commands.

It is guaranteed that the total length of s over all test cases does not exceed 10^6.

Output

Print t lines, each of which contains the answer to the corresponding test case. The answer to the test case are two integers r (1 ≤ r ≤ n) and c (1 ≤ c ≤ m), separated by a space — the coordinates of the cell (row number and column number) from which the robot should start moving to perform as many commands as possible.

If there are several such cells, you may output any of them.

Example

Input


4
1 1
L
1 2
L
3 3
RRDLUU
4 3
LUURRDDLLLUU


Output


1 1
1 2
2 1
3 2
// #include<bits/stdc++.h>
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <string>
#include <cstring>
#include <random>
#include <bitset>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
// template<class T> using oset =tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update> ;
using namespace std;
// #pragma GCC optimize("Ofast")
// #pragma GCC target("avx,avx2,fma")
// #pragma GCC optimization ("unroll-loops")
typedef long long ll ;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define CS custom_hash
#define vt vector 
#define F first
#define S second
#define pb push_back
#define em emplace_back
#define stoi stoll
#define all(v) (v).begin(),(v).end() 
#define rall(v) (v).rbegin(),(v).rend()                                           
#define mems(x, y) memset(x, y, sizeof(x))
#define sz(x) (int)(x).size()
#define ar array
#define endl "\n" 
#define PI acos(-1) 
#define umap unordered_map
#define gmap gp_hash_table
#define ld long double 
#define seb(n) __builtin_popcountll(n) 
#define acc(v) accumulate(v.begin(),v.end(),0LL) 
#define LB lower_bound  
#define UB upper_bound 
// debugger credits: https://codeforces.com/blog/entry/68809 
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
void adebug(int a[],int l,int r){
  for(int i=l;i<=r;i++){
    cerr << a[i] << " " ;
  }
  cerr << '\n' ;
}
template <typename T, typename V>
void mdebug(map<T,vector<V>>m){
  for(auto x:m){
    cerr << x.first << " : [ " ;
    for(auto c:x.second)
      cerr << c << " ";
    cerr << "]"<<'\n' ;
  }
}
#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
//#pragma GCC optimize "trapv"
//template credits :William Lin(tmwilliamlin168)
#define F_OR(i, a, b, s) for (int i = (a); ((s) > 0 ? i < (b) : i > (b)); i += (s))
#define F_OR1(e) F_OR(i, 0, e, 1)
#define F_OR2(i, e) F_OR(i, 0, e, 1)
#define F_OR3(i, b, e) F_OR(i, b, e, 1)
#define F_OR4(i, b, e, s) F_OR(i, b, e, s)
#define GET5(a, b, c, d, e, ...) e
#define F_ORC(...) GET5(__VA_ARGS__, F_OR4, F_OR3, F_OR2, F_OR1)
#define FOR(...) F_ORC(__VA_ARGS__)(__VA_ARGS__)
#define EACH(x, a) for (auto& x: a)
template<class T> bool umin(T& a, const T& b) {
  return b<a?a=b, 1:0;
}
template<class T> bool umax(T& a, const T& b) { 
  return a<b?a=b, 1:0;
}
template<class A> void read(vt<A>& v);
template<class A, size_t S> void read(ar<A, S>& a);
template<class T> void read(T& x) {
  cin >> x;
}
void read(double& d) {
  string t;
  read(t);
  d=stod(t);
}
void read(long double& d) {
  string t;
  read(t);
  d=stold(t);
}
template<class H, class... T> void read(H& h, T&... t) {
  read(h);
  read(t...);
}
template<class A> void read(vt<A>& x) {
  EACH(a, x)
    read(a);
}
template<class A, size_t S> void read(array<A, S>& x) {
  EACH(a, x)
    read(a);
}
string to_string(char c) {
  return string(1, c);
}
string to_string(bool b) {
  return b?"true":"false";
}
string to_string(const char* s) {
  return string(s);
}
string to_string(string s) {
  return s;
}
string to_string(vt<bool> v) {
  string res;
  FOR(sz(v))
    res+=char('0'+v[i]);
  return res;
}

template<size_t S> string to_string(bitset<S> b) {
  string res;
  FOR(S)
    res+=char('0'+b[i]);
  return res;
}
template<class T> string to_string(T v) {
    bool f=1;
    string res;
    EACH(x, v) {
    if(!f)
      res+=' ';
    f=0;
    res+=to_string(x);
  }
    return res;
}

template<class A> void write(A x) {
  cout << to_string(x);
}
template<class H, class... T> void write(const H& h, const T&... t) { 
  write(h);
  write(t...);
}
void print() {
  write("\n");
}
template<class H, class... T> void print(const H& h, const T&... t) { 
  write(h);
  if(sizeof...(t))
    write(' ');
  print(t...);
}
struct PH{
  size_t operator()(const pair<int,int>&x)const{
    size_t ans=0;
    for(int i=0;i<x.first;i++)
      ans+=x.second;
    return ans;
  }
};
// struct custom_hash {
//   static uint64_t splitmix64(uint64_t x) {
//     // http://xorshift.di.unimi.it/splitmix64.c
//     x += 0x9e3779b97f4a7c15;
//     x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
//     x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
//     return x ^ (x >> 31);
//   }
//   size_t operator()(uint64_t x) const {
//     static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
//     return splitmix64(x + FIXED_RANDOM);
//   }
// };
// void DBG() {
//   cerr << "]" << endl;
// }
// template<class H, class... T> void DBG(H h, T... t) {
//   cerr << to_string(h);
//   if(sizeof...(t))
//     cerr << ", ";
//   DBG(t...);
// }
// // #ifdef _DEBUG
// #define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
// // #else
// // #define dbg(...) 0
// // #endif

template<class T> void offset(ll o, T& x) {
  x+=o;
}
template<class T> void offset(ll o, vt<T>& x) {
  EACH(a, x)
    offset(o, a);
}
template<class T, size_t S> void offset(ll o, ar<T, S>& x) {
  EACH(a, x)
    offset(o, a);
}
template<class T> void fk(T a) { 
  print(a) ;
  exit(0) ;
}
#define pf(n) return print(n)
// order_of_key (k) : Number of items strictly smaller than k .
// find_by_order(k) : K-th element in a set (counting from zero).
//Syntax to create a min heap for priority queue
// priority_queue <T, vector<T>, greater<T>>pq ;

//make sure to clear the adjacency list for every test case 
// check mxN size 
//check if numbers are big use powl,sqrtl,builtin_popcountll()...... 
#define int ll 
long const M=1e9+7;
const ll INF =1e18;
const int mxN=1e6,di[4]={1,0,-1,0},dj[4]={0,-1,0,1};
void solve(){    
  int n,m;read(n,m) ;
  string s ;read(s) ;
  int mxx=0,mnx=0,mny=0,mxy=0 ;
  ar<int,2>ans={1,1} ;
  int x=0,y=0 ;
  EACH(c,s){
    if(c=='R') x++ ;
    if(c=='L') x-- ;
    if(c=='U') y++; 
    if(c=='D') y-- ;
    umax(mxx,x) ;
    umin(mnx,x) ;
    umax(mxy,y) ;
    umin(mny,y) ;
    int cx = 1+abs(mnx) ;
    int cy = 1+mxy  ;
    if(mxx-mnx+1>m){
      print(ans);
      return  ;
    }
    if(mxy-mny>n){
      print(ans) ;
      return ;
    }
    ans={cy,cx} ;
  }
  print(ans) ;
}
signed main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  //cout << setprecision(20) << fixed ;
  int T=1;
  read(T);
  FOR(_,T){
    // write("Case #", _+1, ": ");
    solve();
  }
  return 0;
}

