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
#define sp << ' ' <<
#define nl << '\n'
const int MOD = 1e9+7, INF = 1e18;
int p(int i){
int res = 1, mul = 2;
while(i){
if(i & 1) res = (res * mul) % MOD;
mul = (mul * mul) % MOD;
i /= 2LL;
}
return res;
}
signed main(){
cin.tie(0)->sync_with_stdio(0);
int n, m, k; cin >> n >> m >> k;
vector<int> xs, ys;
array<int, 3> e[k];
int w = - 1, ok = 1;
for(auto &i : e){
char j;
cin >> j >> i[0] >> i[1];
i[2] = j == '+';
xs.push_back(i[0]);
ys.push_back(i[1]);
if(w < 0) w = (i[0] + i[1] + i[2]) % 2;
else if(w != (i[0] + i[1] + i[2]) % 2) ok = 0;
}
sort(xs.begin(), xs.end());
sort(ys.begin(), ys.end());
vector<array<int, 2>> a[2][k];
for(auto &i : e){
a[0][lower_bound(xs.begin(), xs.end(), i[0])-xs.begin()].push_back({i[1], i[2]});
a[1][lower_bound(ys.begin(), ys.end(), i[1])-ys.begin()].push_back({i[0], i[2]});
}
int cnt = 0, ans = 0, add = 0;
for(int _=0; _<2; ++_){
cnt = _ ? m : n;
for(auto &i : a[_]){
if(i.empty()) continue;
--cnt;
int z = (i[0][0]+i[0][1]) % 2;
for(auto &j : i){
if(z != (j[0]+j[1]) % 2) cnt = -INF;
}
}
if(cnt >=0) ans += p(cnt), ++add;
}
if(k == 0) ans = (ans - 2 + MOD) % MOD;
else if(add == 2) ans = (ans - ok + MOD) % MOD;
cout << ans;
}
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