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;
const int N = 100005, Mod = 1e9 + 7;
int n, m, k;
map < int , int > R, C;
inline int Power(int a, int b)
{
int ret = 1;
for (; b; b >>= 1, a = 1LL * a * a % Mod)
if (b & 1) ret = 1LL * ret * a % Mod;
return (ret);
}
int main()
{
cin >> n >> m >> k;
if (!k)
return !printf("%lld\n", (1LL * Power(2, n) + Power(2, m) - 2LL + Mod) % Mod);
bool w = 0, f = 0;
for (int i = 0; i < k; i ++)
{
int a, b; char c;
cin >> c >> a >> b;
bool tp = (a ^ b ^ (c == '+')) & 1;
if (!i)
w = tp;
else if (w != tp)
f = 1;
R[a] |= 1 << ((b ^ (c == '+')) & 1);
C[b] |= 1 << ((a ^ (c == '+')) & 1);
}
int tot = 0;
bool fr = 0;
for (auto X : R)
fr |= (X.second == 3);
if (!fr)
tot = Power(2, n - (int)R.size());
bool fc = 0;
for (auto X : C)
fc |= (X.second == 3);
if (!fc)
tot = (tot + Power(2, m - (int)C.size())) % Mod;
if (!f)
tot = (tot - 1 + Mod) % Mod;
return !printf("%d\n", tot);
}
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