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 f first
#define s second
const int N = 1e5 + 69;
const int mod = 1e9 + 7;
int n, m, k;
int x[N], y[N];
char c[N];
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int tt = 1;
//cin >> tt;
while (tt--) {
cin >> n >> m >> k;
for (int i = 1;i <= k;i++)
cin >> c[i] >> x[i] >> y[i];
map<int, vector<pair<int, char>>> sv, sv1;
for (int i = 1;i <= k;i++) {
sv[x[i]].push_back({y[i], c[i]});
sv1[y[i]].push_back({x[i], c[i]});
}
int ans = 0;
auto mul = [&](int x, int y) {
x *= y;
if (x >= mod)
x %= mod;
return x;
};
auto binpow = [&](int a, int b) {
int res = 1;
while (b > 0) {
if (b & 1)
res = mul(res, a);
a = mul(a, a);
b >>= 1;
}
return res;
};
int pr = 0, g = 1;
for (auto u : sv) {
int p = u.f - pr - 1;
g = mul(g, binpow(2, p));
int cnt = 0;
//proveri da li svi x mogu parni
int ok1 = 1;
for (auto v : u.s) {
if (v.s == '+')
ok1 &= (v.f % 2 == 0);
else
ok1 &= (v.f % 2 == 1);
}
cnt += ok1;
ok1 = 1;
for (auto v : u.s) {
if (v.s == '+')
ok1 &= (v.f % 2 == 1);
else
ok1 &= (v.f % 2 == 0);
}
cnt += ok1;
g = mul(g, cnt);
pr = u.f;
}
g = mul(binpow(2, n - pr), g);
ans += g;
pr = 0, g = 1;
for (auto u : sv1) {
int p = u.f - pr - 1;
g = mul(g, binpow(2, p));
int cnt = 0;
//proveri da li svi x mogu parni
int ok1 = 1;
for (auto v : u.s) {
if (v.s == '+')
ok1 &= (v.f % 2 == 0);
else
ok1 &= (v.f % 2 == 1);
}
cnt += ok1;
ok1 = 1;
for (auto v : u.s) {
if (v.s == '+')
ok1 &= (v.f % 2 == 1);
else
ok1 &= (v.f % 2 == 0);
}
cnt += ok1;
g = mul(g, cnt);
pr = u.f;
}
g = mul(binpow(2, m - pr), g);
ans += g;
int ok1 = 1;
for (int i = 1;i <= k;i++)
ok1 &= ((x[i] + y[i]) % 2 == (c[i] == '-'));
ans -= ok1;
ok1 = 1;
for (int i = 1;i <= k;i++)
ok1 &= ((x[i] + y[i]) % 2 == (c[i] == '+'));
ans -= ok1;
cout << ans % mod;
}
return 0;
}
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