#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define fr first
#define sc second
#define clr(a, x) memset(a, x, sizeof(a))
#define dbg(x) cout<<"("<<#x<<"): "<<x<<endl;
#define printvector(arr) for (auto it = arr.begin(); it != arr.end(); ++it) cout<<*it<<" "; cout<<endl;
#define all(v) v.begin(), v.end()
#define lcm(a, b) (a * b)/__gcd(a, b)
#define int long long int
#define printvecpairs(vec) for(auto it: vec) cout<<it.fr<<' '<<it.sc<<endl;
#define endl '\n'
#define float long double
const int MOD = 1e9 + 7;
const int INF = 2e15;
const int MAXN = 1e5 + 5;
int fastexpo(int b, int exp){
if(exp == 0) return 1;
if(exp == 1) return b;
int ans = (fastexpo(b,exp/2) % MOD);
ans *= ans;
ans %= MOD;
if(exp % 2 == 1){
ans *= b;
}
ans %= MOD;
return ans;
}
map<int, vector<int>> rw, cl;
map<pair<int, int>, int> vl;
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif
int n, m, k;
cin>>n>>m>>k;
set<int> rws, cls;
for(int i=0;i<k;i++){
char c;
cin>>c;
int x, y;
cin>>x>>y;
rws.insert(x);
cls.insert(y);
rw[x].pb(y);
cl[y].pb(x);
if(c == '+') {
vl[{x,y}] = 1;
}
if(c == '-') {
vl[{x,y}] = 0;
}
}
bool rowwise= true;
int rowleft = n-(int)rws.size();
for(int i: rws){
int cnt[2][2];
cnt[0][0] = cnt[0][1] = cnt[1][1] = cnt[1][0] = 0;
for(int j: rw[i]){
if(vl.count({i, j}) > 0) {
cnt[j&1][vl[{i,j}]]++;
}
}
if((cnt[0][1] == 0 && cnt[1][0] == 0) || (cnt[1][1] == 0 && cnt[0][0] == 0)){
continue;
} else {
rowwise = false;
break;
}
}
bool colwise= true;
int colleft = m-(int)cls.size();
for(int i: cls){
int cnt[2][2];
cnt[0][0] = cnt[0][1] = cnt[1][1] = cnt[1][0] = 0;
for(int j: cl[i]){
if(vl.count({j, i}) > 0) {
cnt[j&1][vl[{j,i}]]++;
}
}
if((cnt[0][1] == 0 && cnt[1][0] == 0) || (cnt[1][1] == 0 && cnt[0][0] == 0)){
continue;
} else {
colwise = false;
break;
}
}
int ans = 0;
if(rowwise){
ans += fastexpo(2, rowleft);
ans %= MOD;
}
if(colwise){
ans += fastexpo(2, colleft);
ans %= MOD;
}
ans %= MOD;
if(rowwise && colwise){
ans = (ans-1+MOD)%MOD;
ans %= MOD;
}
if(k == 0){
ans--;
ans += MOD;
ans %= MOD;
}
cout<<ans<<endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
312 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
312 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
2 ms |
576 KB |
Output is correct |
12 |
Correct |
1 ms |
308 KB |
Output is correct |
13 |
Correct |
1 ms |
308 KB |
Output is correct |
14 |
Correct |
2 ms |
460 KB |
Output is correct |
15 |
Correct |
2 ms |
576 KB |
Output is correct |
16 |
Correct |
121 ms |
9940 KB |
Output is correct |
17 |
Correct |
138 ms |
10004 KB |
Output is correct |
18 |
Correct |
125 ms |
9876 KB |
Output is correct |
19 |
Correct |
178 ms |
9864 KB |
Output is correct |
20 |
Correct |
203 ms |
10052 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
312 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
2 ms |
576 KB |
Output is correct |
12 |
Correct |
1 ms |
308 KB |
Output is correct |
13 |
Correct |
1 ms |
308 KB |
Output is correct |
14 |
Correct |
2 ms |
460 KB |
Output is correct |
15 |
Correct |
2 ms |
576 KB |
Output is correct |
16 |
Correct |
121 ms |
9940 KB |
Output is correct |
17 |
Correct |
138 ms |
10004 KB |
Output is correct |
18 |
Correct |
125 ms |
9876 KB |
Output is correct |
19 |
Correct |
178 ms |
9864 KB |
Output is correct |
20 |
Correct |
203 ms |
10052 KB |
Output is correct |
21 |
Correct |
460 ms |
26948 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
333 ms |
26932 KB |
Output is correct |
24 |
Correct |
341 ms |
27096 KB |
Output is correct |
25 |
Correct |
331 ms |
26976 KB |
Output is correct |
26 |
Correct |
374 ms |
33024 KB |
Output is correct |
27 |
Correct |
354 ms |
32984 KB |
Output is correct |
28 |
Correct |
385 ms |
33200 KB |
Output is correct |
29 |
Correct |
437 ms |
33132 KB |
Output is correct |
30 |
Correct |
562 ms |
39380 KB |
Output is correct |