#include <bits/stdc++.h>
using namespace std;
const int md = 1e9 + 7;
int ckmul(int a, int b) {
return a * 1LL * b % md;
}
int ckadd(int a, int b) {
return a + b >= md ? a + b - md : a + b;
}
int powmod(int x, int k) {
int res = 1;
while (k) {
if (k & 1) {
res = ckmul(res, x);
}
x = ckmul(x, x);
k >>= 1;
}
return res;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m, k;
cin >> n >> m >> k;
vector<char> c(k);
vector<int> x(k);
vector<int> y(k);
for (int i = 0; i < k; i++) {
cin >> c[i] >> x[i] >> y[i];
}
int ans = 0;
{
// row
map<int, vector<int>> mp;
for (int i = 0; i < k; i++) {
mp[x[i]].push_back(i);
}
bool ok = true;
for (auto& p : mp) {
vector<vector<bool>> f(2, vector<bool>(2));
for (int i : p.second) {
int p = (y[i] % 2);
int v = (c[i] == '+' ? 0 : 1);
f[p][v] = true;
}
if ((f[0][0] && f[0][1]) || (f[1][0] && f[1][1]) || (f[0][0] && f[1][0]) || (f[0][1] && f[1][1])) {
ok = false;
}
}
if (ok) {
ans = ckadd(ans, powmod(2, n - (int) mp.size()));
}
}
{
// col
map<int, vector<int>> mp;
for (int i = 0; i < k; i++) {
mp[y[i]].push_back(i);
}
bool ok = true;
for (auto& p : mp) {
vector<vector<bool>> f(2, vector<bool>(2, false));
for (int i : p.second) {
int p = (x[i] % 2);
int v = (c[i] == '+' ? 0 : 1);
f[p][v] = true;
}
if ((f[0][0] && f[0][1]) || (f[1][0] && f[1][1]) || (f[0][0] && f[1][0]) || (f[0][1] && f[1][1])) {
ok = false;
}
}
if (ok) {
ans = ckadd(ans, powmod(2, m - (int) mp.size()));
}
}
{
for (char ch : {'+', '-'}) {
bool ok = true;
for (int i = 0; i < k; i++) {
char v = ((x[i] + y[i]) % 2 == 0 ? ch : (ch ^ '-' ^ '+'));
if (v != c[i]) {
ok = false;
}
}
if (ok) {
ans -= 1;
if (ans < 0) {
ans += md;
}
}
}
}
cout << ans << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
360 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
360 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
25 ms |
2044 KB |
Output is correct |
17 |
Correct |
26 ms |
1880 KB |
Output is correct |
18 |
Correct |
25 ms |
1972 KB |
Output is correct |
19 |
Correct |
24 ms |
2056 KB |
Output is correct |
20 |
Correct |
24 ms |
2020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
360 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
25 ms |
2044 KB |
Output is correct |
17 |
Correct |
26 ms |
1880 KB |
Output is correct |
18 |
Correct |
25 ms |
1972 KB |
Output is correct |
19 |
Correct |
24 ms |
2056 KB |
Output is correct |
20 |
Correct |
24 ms |
2020 KB |
Output is correct |
21 |
Correct |
84 ms |
7728 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
89 ms |
9108 KB |
Output is correct |
24 |
Correct |
85 ms |
9300 KB |
Output is correct |
25 |
Correct |
83 ms |
9088 KB |
Output is correct |
26 |
Correct |
96 ms |
12116 KB |
Output is correct |
27 |
Correct |
111 ms |
12116 KB |
Output is correct |
28 |
Correct |
94 ms |
11860 KB |
Output is correct |
29 |
Correct |
102 ms |
12060 KB |
Output is correct |
30 |
Correct |
151 ms |
14340 KB |
Output is correct |