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>
#pragma GCC optimize ("O2")
#pragma GCC optimize ("unroll-loops")
//#pragma GCC optimize("no-stack-protector,fast-math")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
typedef pair<ll, ll> pll;
#define debug(x) cerr<<#x<<'='<<(x)<<endl;
#define debugp(x) cerr<<#x<<"= {"<<(x.first)<<", "<<(x.second)<<"}"<<endl;
#define debug2(x, y) cerr<<"{"<<#x<<", "<<#y<<"} = {"<<(x)<<", "<<(y)<<"}"<<endl;
#define debugv(v) cerr<<#v<<" : ";for (auto x:v) cerr<<x<<' ';cerr<<endl;
#define all(x) x.begin(), x.end()
#define pb push_back
#define kill(x) return cout<<x<<'\n', 0;
const ld eps=1e-7;
const int inf=1000000010;
const ll INF=10000000000000010LL;
const int mod = 1000000007;
const int MAXN = 100010, LOG=20;
ll n, m, k, u, v, x, y, t, a, b, ans;
int X[MAXN], Y[MAXN];
map<int, int> mp;
bool typ[MAXN];
char ch;
ll powmod(ll a, ll b){
if (!b) return 1;
if (b&1) return a*powmod(a*a%mod, b>>1)%mod;
return powmod(a*a%mod, b>>1);
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
int mark[2];
mark[0]=mark[1]=1;
cin>>n>>m>>k;
for (int i=1; i<=k; i++){
cin>>ch>>X[i]>>Y[i];
typ[i]=(ch=='+');
mark[(X[i]+Y[i]+typ[i])%2]=0;
}
ans-=mark[0]+mark[1];
bool shit=1;
for (int i=1; i<=k; i++){
if (!mp.count(X[i])) mp[X[i]]=(Y[i]+typ[i])%2;
else if (mp[X[i]]!=(Y[i]+typ[i])%2) shit=0;
}
if (shit) ans+=powmod(2, n-mp.size());
mp.clear();
shit=1;
for (int i=1; i<=k; i++){
if (!mp.count(Y[i])) mp[Y[i]]=(X[i]+typ[i])%2;
else if (mp[Y[i]]!=(X[i]+typ[i])%2) shit=0;
}
if (shit) ans+=powmod(2, m-mp.size());
ans+=mod;
ans%=mod;
cout<<ans<<'\n';
return 0;
}
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