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;
using ll = long long;
const ll MOD = 1e9 + 7;
map<int, int> r, c;
ll mop(ll a, ll p) {
ll ans = 1;
for (;p != 0ll;p >>= 1ll, a = a * a % MOD) {
if (p & 1ll) ans = ans * a % MOD;
}
return ans;
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int n, m, k;
cin >> n >> m >> k;
if (n == 1) {
int all = m;
while (k--) {
char C;
int x, y;
cin >> C >> x >> y;
int st = C == '+';
if (all != -1) {
if (!c.count(y)) c[y] = st, all--;
else if (c[y] != st) all = -1;
}
}
if (all == -1) cout << 0 << '\n';
else cout << mop(2, all) << '\n';
return 0;
}
if (m == 1) {
int all = n;
while (k--) {
char C;
int x, y;
cin >> C >> x >> y;
int st = C == '+';
if (all != -1) {
if (!c.count(x)) c[x] = st, all--;
else if (c[x] != st) all = -1;
}
}
if (all == -1) cout << 0 << '\n';
else cout << mop(2, all) << '\n';
return 0;
}
int cr = n, cc = m;
int in0 = 1, in1 = 1;
while (k--) {
char C;
int x, y;
cin >> C >> x >> y;
int st = C == '+';
int rst = (y & 1) ^ st, cst = (x & 1) ^ st;
if (cst == rst) in0 = 0;
else in1 = 0;
// row
if (cr != -1) {
if (!r.count(x)) r[x] = rst, cr--;
else if (r[x] != rst) cr = -1;
}
// col
if (cc != -1) {
if (!c.count(y)) c[y] = cst, cc--;
else if (c[y] != cst) cc = -1;
}
}
// handle interception cases
if (cr == -1 && cc == -1) {
cout << 0 << '\n';
return 0;
}
ll ans = 1;
if (cr != -1) ans = ans * mop(2, cr) % MOD;
if (cc != -1) ans = ans * mop(2, cc) % MOD;
cout << (ans - in0 - in1 + MOD) % MOD << '\n';
return 0;
}
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