#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define vb vector<bool>
#define vi vector<int>
#define vvi vector<vi>
#define F0R(i, n) for (int i = 0; i < (n); ++i)
const int MOD = 1e9+7;
ll conv(ll a, ll b) {
return 2 * a + b % 2;
}
struct Look {
map<ll,bool> st;
void set(ll i) {
st[i] = true;
}
bool get(ll i) {
if (st.find(i) != st.end()) return true;
return false;
}
ll size() {
return st.size();
}
map<ll,bool>::iterator begin() {
return st.begin();
}
map<ll,bool>::iterator end() {
return st.end();
}
};
ll fastExp2(int p) {
if (p == 0) return 1;
if (p == 1) return 2;
ll ans = fastExp2(p / 2);
ans = (ans * ans) % MOD;
if (p % 2 == 1) ans *= 2;
ans %= MOD;
return ans;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n,m,k;
cin >> n >> m >> k;
// nxm Table: n Reihen, m Spalten
Look R, RP, RM;
Look S, SP, SM;
F0R(i,k) {
string pm;
cin >> pm;
int x,y; // y <= n, x <= M
cin >> y >> x;
--x; --y;
R.set(y);
S.set(x);
if (pm[0] == '+') {
RP.set(conv(y, x));
SP.set(conv(x, y));
} else {
RM.set(conv(y,x));
SM.set(conv(x,y));
}
}
// Reihen durchgehen
ll ansR = fastExp2(n - R.size());
for (auto it = R.begin(); it != R.end(); ++it) {
ll i = it->first;
if ( (RP.get(conv(i,0)) && RP.get(conv(i,1)))
|| (RM.get(conv(i,0)) && RM.get(conv(i,1)))
|| (RM.get(conv(i,0)) && RP.get(conv(i,0)))
|| (RM.get(conv(i,1)) && RP.get(conv(i,1)))
) {
ansR *= 0;
}
}
// Spalten durchgehen
ll ansS = fastExp2(m - S.size());
for (auto it = S.begin(); it != S.end(); ++it) {
ll i = it->first;
if ( (SP.get(conv(i,0)) && SP.get(conv(i,1)))
|| (SM.get(conv(i,0)) && SM.get(conv(i,1)))
|| (SM.get(conv(i,0)) && SP.get(conv(i,0)))
|| (SM.get(conv(i,1)) && SP.get(conv(i,1)))
) {
ansS *= 0;
}
}
ll ans = ansR + ansS;
// Schachbrett möglich?
if (ansS > 0 && ansR > 0) {
--ans;
if (k == 0) --ans; // hier und nur hier sind sogar beide Schachbretter möglich
}
ans = (ans + MOD) % MOD;
cout << ans << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
320 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
320 KB |
Output is correct |
11 |
Correct |
2 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
2 ms |
456 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
60 ms |
1884 KB |
Output is correct |
17 |
Correct |
64 ms |
1808 KB |
Output is correct |
18 |
Correct |
58 ms |
1872 KB |
Output is correct |
19 |
Correct |
51 ms |
1536 KB |
Output is correct |
20 |
Correct |
52 ms |
1540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
320 KB |
Output is correct |
11 |
Correct |
2 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
2 ms |
456 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
60 ms |
1884 KB |
Output is correct |
17 |
Correct |
64 ms |
1808 KB |
Output is correct |
18 |
Correct |
58 ms |
1872 KB |
Output is correct |
19 |
Correct |
51 ms |
1536 KB |
Output is correct |
20 |
Correct |
52 ms |
1540 KB |
Output is correct |
21 |
Correct |
302 ms |
18820 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
278 ms |
20012 KB |
Output is correct |
24 |
Correct |
274 ms |
20152 KB |
Output is correct |
25 |
Correct |
273 ms |
19968 KB |
Output is correct |
26 |
Correct |
285 ms |
23008 KB |
Output is correct |
27 |
Correct |
273 ms |
22972 KB |
Output is correct |
28 |
Correct |
278 ms |
23100 KB |
Output is correct |
29 |
Correct |
281 ms |
23004 KB |
Output is correct |
30 |
Correct |
427 ms |
27416 KB |
Output is correct |