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;
int modulo = 1e9 + 7;
int n,m,k;
int lgpow(int x, int y)
{
int z = 1;
while (y != 0)
{
if (y % 2 == 1)
z = 1ll * z * x % modulo;
x = 1ll * x * x % modulo;
y /= 2;
}
return z;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin >> n >> m >> k;
bool nah1 = false, nah2 = false;
set<int> ff1, ff2;
map<int,int> lin, col;
bool could_be_chessboard_1 = true, could_be_chessboard_2 = true;
for (int i = 1; i <= k; i++)
{
char spin;
int x,y;
cin >> spin >> x >> y;
ff1.insert(x);
ff2.insert(y);
if (spin == '+' and (x + y) % 2 == 0)
could_be_chessboard_1 = false;
if (spin == '+' and (x + y) % 2 == 1)
could_be_chessboard_2 = false;
if (spin == '-' and (x + y) % 2 == 0)
could_be_chessboard_2 = false;
if (spin == '-' and (x + y) % 2 == 1)
could_be_chessboard_1 = false;
if (spin == '+')
{
if (lin[x] != 0)
{
if (lin[x] != 1 + y % 2)
{
nah1 = true;
}
}
else
lin[x] = 1 + y % 2;
}
else
{
if (lin[x] != 0)
{
if (lin[x] != 1 + (y - 1) % 2)
{
nah1 = true;
}
}
else
lin[x] = 1 + (y - 1) % 2;
}
if (spin == '+')
{
if (col[y] != 0)
{
if (col[y] != 1 + x % 2)
{
nah2 = true;
}
}
else
col[y] = 1 + x % 2;
}
else
{
if (col[y] != 0)
{
if (col[y] != 1 + (x - 1) % 2)
{
nah2 = true;
}
}
else
col[y] = 1 + (x - 1) % 2;
}
}
int ans = 0;
if (!nah1)
ans += lgpow(2, n - (int)ff1.size());
if (!nah2)
ans += lgpow(2, m - (int)ff2.size());
if (could_be_chessboard_1)
ans--;
if (could_be_chessboard_2)
ans--;
cout << ans % modulo;
return 0;
}
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