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>
#define X first
#define Y second
#define ll long long
using namespace std;
const int MOD = 1000000007;
vector<pair< int, int >> l, c;
int mult(ll x, ll y){
return (ll) (x * y) % MOD;
}
int power(int x, int exp){
int out = 1;
while(exp){
if(exp & 1)
out = mult(out, x);
x = mult(x, x);
exp /= 2;
}
return out;
}
map<int, bool> m;
int count(vector< pair<int, bool> > &r, vector< pair<int, bool> > &s, int rn, int sn, int n){
m.clear();
for(int i = 0; i < n; i ++){
int x = r[i].X;
int y = s[i].X;
bool sign = r[i].Y;
bool should;
if(!(x & 1)) should = sign;
else should = !sign;
if(!m.count(y)) m[y] = should;
else if (m[y] != should)
return 0;
}
return power(2, sn - m.size());
}
int main(){
ios_base::sync_with_stdio(false);
int rn, sn, n;
cin >> rn >> sn;
cin >> n;
bool board1 = true;
bool board2 = true;
vector<pair< int, bool >> r, s;
for(int i = 0; i < n; i ++){
int x, y;
char c;
cin >> c >> x >> y; x--; y--;
bool sign = (c == '+');
board1 &= (!(!(x & 1) ^ !(y & 1)) == sign);
board2 &= (!(!(x & 1) ^ !(y & 1)) == !sign);
r.push_back({x, sign});
s.push_back({y, sign});
}
//cout << "check: "<< (pow(2, 3) == 8) << "\n";
//cout << count(r, s, rn, sn, n) << ' ' << count(s, r, sn, rn, n) << ' ' << board1 << ' ' << board2;
//cout << "\n" << char(254) << "\n";
cout << count(r, s, rn, sn, n) + count(s, r, sn, rn, n) - board1 - board2 << "\n";
//cout << power(2, 64);
return 0;
}
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