//#include "arithmetics.h"
//```// YF YUSUF
#define Free_open(File) freopen((File".in"),"r",stdin);freopen((File".out"),"w",stdout);
#define YF ios_base::sync_with_stdio(0);cout.setf(ios::fixed);
#define YUSUF cout.precision(0);cout.tie(0);cin.tie(0);
#include <bits/stdc++.h>
using namespace std;
#ifdef YF_CHECK
bool Output=1;
// #include "g/debug.h"
//#include "g/bigint.h"
//#include "g/text.h"
#else
bool Output=0;
#define deb(x...) 42
#endif
using ll = long long;
//using ld = long double;
using vll = vector <ll>;
using mll = map <ll,ll>;
using pll = pair <ll,ll>;
using vpll= vector <pll>;
template<class T>T MIN(T&a,T b){a=min(a,b);return a;}
template<class T>T MAX(T&a,T b){a=max(a,b);return a;}
#define revers(a) reverse(all(a))
#define all(a) a.begin(),a.end()
#define sortt(a) sort(all(a))
#define sgr v+v+1,tm+1,tr
#define sgl v+v,tl,tm
#define pb push_back
#define ins insert
#define S second
#define F first
#define int ll
ll BP(ll a,ll b,ll mod=1e9+7){
if(b==0)return 1;
ll q=BP(a,b/2,mod);
return ((q*q)%mod*(b%2?a:1ll))%mod;
}
ll lcm(ll a,ll b){return a/__gcd(a,b)*b;}
ll dup(ll a,ll b){return (a+b-1)/b;}
ll f(ll x){return x*(x+1)/2;}
const int mod=998244353;
const int INF=1e18+7;
const int inf=1e9+7;
const int N =1e6+7;
ll FACT[N],inv[N],FMOD=1e9+7;
ll PER(ll n,ll k){return FACT[n] *inv[n-k]%FMOD;}
ll CNK(ll n,ll k){return PER(n,k)*inv[k ]%FMOD;}
ll r,c,q;
bool check(pll A,pll B){
auto [a,b]=A;
auto [c,d]=B;
if(a-c==b-d||c-a==d-b||-(a-c)==b-d||-(c-a)==d-b)return 1;
return 0;
}
pll PP(ll x,ll y){
if(x!=y)return {0,0};
return {r-1,1};
}
ll dfs(ll u,ll x,ll y,char dir,ll ans=1){
if(u>=r && x==y)
return ans;
else if(x==1)
return dfs(u+1,x+1,y,'R',ans+1);
else if(x==c)
return dfs(u+1,x-1,y,'L',ans+1);
else if(dir=='L')
return dfs(u+1,x-1,y,'L',ans);
else
return dfs(u+1,x+1,y,'R',ans);
}
pll BB(ll x,ll y){
if(!((1+x)%2==(r+y)%2))return {0,0};
// ll a,b;
// if(x>1)
// a=dfs(2,x-1,y,'L');
//
// if(x<c)
// b=dfs(2,x+1,y,'R');
//
// if(a==b)return {a,2};
// else return {min(a,b),1};
if(abs(y-x)==r-1)return {1,1};
ll l=1,R=1e9,ans1=1e9,ans2=ans1;
while(l<=R){
ll m=(l+R)/2;
ll f=max(x-1,c-x)+1;
ll s=(m-1)*(c-1);
if(s+f>=r){
ans1=m;
R=m-1;
}
else l=m+1;
// cout<<l<<" "<<R<<" M\n";
}
l=1;R=1e9;
while(l<=R){
ll m=(l+R)/2;
ll f=min(x-1,c-x)+1;
ll s=(m-1)*(c-1);
if(s+f>=r){
ans2=m;
R=m-1;
}
else l=m+1;
// cout<<l<<" "<<R<<" m\n";
}
ll posx=0;
ll posy=0;
if(x-1>c-x){
posx=x+(c-1)*(ans1-1);
if(ans1%2) posy=1;
else posy=c;
}
else{
posx=c-x+1+(c-1)*(ans1-1);
if(ans1%2==0) posy=1;
else posy=c;
}
if(posx-abs(posy-y)<r)ans1++;
if(x-1<c-x){
posx=x+(c-1)*(ans1-1);
if(ans1%2) posy=1;
else posy=c;
}
else{
posx=c-x+1+(c-1)*(ans1-1);
if(ans1%2==0) posy=1;
else posy=c;
}
if(posx-abs(posy-y)<r)ans2++;
// cout<<ans1<<" "<<ans2<<" : \n";
if(ans1==ans2){
return {ans1,2};
}
else{
return {ans1,1};
}
}
pll RR(ll x,ll y){
if(x==y)return {1,1};
else return {2,2};
}
ll dev(ll n,ll k){
// cout<<" |"<<n<<" "<<(n*inv[k])%FMOD<<"| ";
return (n*inv[k])%FMOD;
}
pll KK(ll x,ll y){
ll n=r-1;
ll ans=0;
for(int one=0;one<=c;one++){
ll niga=-((y-x)-one);
if(niga<0 || one+x>c || niga>x)continue;
ll now=dev(FACT[n],niga);
now=dev(now,one);
now=dev(now,n-one-niga);
ll minus1=dev(FACT[n-(c-x)],niga);
minus1=dev(minus1,one-(c-x));
minus1=dev(minus1,n-one-niga-(c-x));
ll minus2=dev(FACT[n-(x-1)],niga);
minus2=dev(minus1,one-(x-1));
minus2=dev(minus1,n-one-niga-(x-1));
ans+=now;
ans-=minus1;
ans-=minus2;
if(ans<0)ans+=inf;
if(ans<0)ans+=inf;
if(ans<0)ans+=inf;
ans%=inf;
}
return {n,ans};
}
pll QQ(ll x,ll y){
if(x==y || abs(y-x)==r-1)return {1,1};
else{
pll R=RR(x,y);
pll B=BB(x,y);
}
}
void YF_MAIN(ll TEST){
cin>>c>>r>>q;
//RR[i]=r!/i!=r*(r-i)
while(q--){
char troop;ll x,y;
cin>>troop>>x>>y;
pll ans={0,0};
if(troop=='P')ans=PP(x,y);
// if(troop=='B')ans=BB(x,y);
if(troop=='K')ans=KK(x,y);
if(troop=='R')ans=RR(x,y);
// if(troop=='Q')ans=QQ(x,y);
cout<<ans.F<<" "<<ans.S<<"\n";
}
}
bool TECT=0;
bool CASE=0;
bool OUTP=1;
//ll lg[N];
void BEFORE(){
FACT[0]=inv[0]=1;
for(int i=1;i<=1e5;i++){
FACT[i]=FACT[i-1]*i%FMOD;
inv[i]=BP(FACT[i],FMOD-2,FMOD);
}
return;
// for(int i=2;i<=200000;i++){
// lg[i]=lg[i/2]+1;
// }
}
signed main(){
if(OUTP){YF YUSUF}
// Free_open("TEST");
cout<<(Output ? "\nYF_OUTPUT:\n\n" : "");
int TEST=1;
if(TECT)
cin>>TEST;
BEFORE();
for(int T=1;T<=TEST;T++){
if(CASE)
cout<<"Case "<<T<<": ";
YF_MAIN(T);
cout<<(T==TEST ? "" : "\n");
}
return 0;
}
//```
Compilation message (stderr)
chessrush.cpp: In function 'pll QQ(ll, ll)':
chessrush.cpp:189:1: warning: control reaches end of non-void function [-Wreturn-type]
189 | }
| ^
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