#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pb push_back
#define all(x) x.begin(), x.end()
#define fi first
#define se second
const int maxn5 = 2e3 + 10;
const int mod = 1e9 + 7;
map <ll, vector <pair<ll, int>>> avsatr, avstoon;
vector <pair<pair<ll, ll>, int>> have;
inline ll pw(ll a, ll b){
ll ret = 1;
for(; b; b >>= 1, a = a * a % mod)
if(b & 1)
ret = ret * a % mod;
return ret;
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
int n, m, k; cin >> n >> m >> k;
if(k == 0){
return cout << (pw(2, n) + pw(2, m) + mod - 2) % mod << endl, 0;
}
for(int i = 0; i < k; i++){
int x, y;
char ty; cin >> ty >> x >> y;
x--; y--;
avsatr[x].pb({y, ty == '+' ? 0 : 1});
avstoon[y].pb({x, ty == '+' ? 0 : 1});
have.pb({{x, y}, ty == '+' ? 0 : 1});
}
ll ans = 0;
bool ok = true;
for(auto it = avstoon.begin(); it != avstoon.end(); it++){
int v = (it -> fi);
bool re1 = true, re2 = true;
for(auto [u, z] : (it -> se)){
re1 &= ((v + u) % 2 == z);
re2 &= ((v + u) % 2 != z);
}
ok &= (re1 || re2);
}
if(ok)
ans = pw(2, m - avstoon.size());
//cout << "ok " << ans << endl;
ok = true;
for(auto it = avsatr.begin(); it != avsatr.end(); it++){
int v = (it -> fi);
bool re1 = true, re2 = true;
for(auto [u, z] : (it -> se)){
re1 &= ((v + u) % 2 == z);
re2 &= ((v + u) % 2 != z);
//cout << "ok " << v << ' '<< u << ' ' << z << ' ' << re1 << ' ' << re2 << endl;
}
ok &= (re1 || re2);
}
//cout << "then " << ok << ' ' << avsatr.size() << endl;
if(ok)
ans = (ans + pw(2, n - avsatr.size())) % mod;
//cout << ans << endl;
bool re1 = true, re2 = true;
for(auto [p, z] : have){
int x = p.fi, y = p.se;
re1 &= ((x + y) % 2 == z);
re2 &= ((x + y) % 2 != z);
}
if(re1 || re2)
ans = (ans + mod - 1) % mod;
cout << ans << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
424 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
43 ms |
7384 KB |
Output is correct |
17 |
Correct |
39 ms |
7508 KB |
Output is correct |
18 |
Correct |
40 ms |
7292 KB |
Output is correct |
19 |
Correct |
42 ms |
7296 KB |
Output is correct |
20 |
Correct |
46 ms |
7348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
424 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
43 ms |
7384 KB |
Output is correct |
17 |
Correct |
39 ms |
7508 KB |
Output is correct |
18 |
Correct |
40 ms |
7292 KB |
Output is correct |
19 |
Correct |
42 ms |
7296 KB |
Output is correct |
20 |
Correct |
46 ms |
7348 KB |
Output is correct |
21 |
Correct |
156 ms |
18588 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
183 ms |
18576 KB |
Output is correct |
24 |
Correct |
175 ms |
18564 KB |
Output is correct |
25 |
Correct |
144 ms |
18608 KB |
Output is correct |
26 |
Correct |
142 ms |
22380 KB |
Output is correct |
27 |
Correct |
158 ms |
22456 KB |
Output is correct |
28 |
Correct |
160 ms |
22376 KB |
Output is correct |
29 |
Correct |
146 ms |
22308 KB |
Output is correct |
30 |
Correct |
216 ms |
26704 KB |
Output is correct |