This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define ff first
#define ss second
#define all(s) s.begin(),s.end()
#define rall(s) s.rbegin(),s.rend()
const ll mod=1e9+7;
ll binpow(ll a,ll b){
ll res=1;
while(b){
if(b&1){
res=res*a%mod;
}
a=a*a%mod;
b=b>>1;
}
return res;
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
ll n,m,k;
cin>>n>>m>>k;
vector<array<ll,3>>a(k),b(k);
for(ll i=0;i<k;i++){
char c;
ll x,y;
cin>>c>>x>>y;
ll u=(c=='+');
a[i]={x,y,u};
b[i]={y,x,u};
}
sort(all(a));
sort(all(b));
ll ans=0;
ll r=0,leftR=n,leftC=m;
ll c[2][2];
bool ok=true;
for(ll i=0;i<k;){
memset(c,0,sizeof c);
c[a[i][2]][a[i][1]%2]++;
r=i;
while(r<k-1&&a[r+1][0]==a[r][0]){
r++;
c[a[r][2]][a[r][1]%2]++;
}
if(c[0][0]+c[1][1]==0){
leftR--;
}
else if(c[1][0]+c[0][1]==0){
leftR--;
}
else{
ok=false;
}
i=r+1;
}
if(ok) ans=binpow(2,leftR);
ok=true;
for(ll i=0;i<k;){
memset(c,0,sizeof c);
c[b[i][2]][b[i][1]%2]++;
r=i;
while(r<k-1&&b[r+1][0]==b[r][0]){
r++;
c[b[r][2]][b[r][1]%2]++;
}
if(c[0][0]+c[1][1]==0){
leftC--;
}
else if(c[1][0]+c[0][1]==0){
leftC--;
}
else{
ok=false;
}
i=r+1;
}
if(ok) ans=(ans+binpow(2,leftC))%mod;
memset(c,0,sizeof c);
for(ll i=0;i<k;i++){
c[a[i][2]][(a[i][0]+a[i][1])%2]++;
}
if(c[0][0]+c[1][1]==0){
ans--;
}
else if(c[0][1]+c[1][0]==0){
ans--;
}
cout<<ans;
}
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