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 int long long
const int mod=1e9+7;
map<int,int> fi,row;
int pw(int a,int b){
int ans=1;
while(b){
if(b&1){
ans=ans*a%mod;
}
a=a*a%mod;
b>>=1;
}
return ans;
}
int32_t main(){
int n,m;cin>>n>>m;
int q;cin>>q;
int ans1=0;
int ans2=0;
set<int> s;
for(int i=0;i<q;i++){
char c;cin>>c;
int p=(c=='+');
int a,b;cin>>a>>b;
if(a%2==0){
if(!fi.count(b)){
fi[b]=p^1;
}
else if(fi[b]!=(p^1)){
ans1=-1;
}
}
else{
if(!fi.count(b)){
fi[b]=p;
}
else if(fi[b]!=p){
ans1=-1;
}
}
if(!row.count(a)){
row[a]=(b+p)%2;
}
else if(row[a]!=(b+p)%2){
ans2=-1;
}
s.insert((a+b+p)%2);
}
int m1=m-fi.size();
int m2=n-row.size();
if(ans1==-1){
ans1=0;
}
else{
ans1=pw(2,m1);
}
if(ans2==-1){
ans2=0;
}
else{
ans2=pw(2,m2);
}
int ans3=s.size()==1;
if(q==0){
ans3=2;
}
//cout<<ans1<<' '<<ans2<<' '<<ans3<<endl;
cout<<(ans1+ans2-ans3+mod)%mod<<endl;
return 0;
}
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