//IN THE NAME OF GOD
#include<bits/stdc++.h>
#pragma GCC optimize("O2,unroll-loops")
#define endl '\n'
#define F first
#define S second
using namespace std;
typedef long long ll;
const ll mod = 1e9+7;
map<ll,vector<pair<ll,char>>> r, c;
ll power(ll a, ll b){
if (b == 0) return 1ll;
ll c = power(a,b/2);
return 1ll*c*c%mod*(b&1?a:1)%mod;
}
int32_t main(){
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
ll n,m,k; cin >> n >> m >> k;
bool can1 = true, can2 = true;
for(ll i=1; i<=k; i++){
char val; cin >> val;
ll x,y; cin >> x >> y;
if ((((x+y)%2) == 0 && val == '-') || (((x+y)%2) == 1 && val == '+')) can1 = false;
if ((((x+y)%2) == 1 && val == '-') || (((x+y)%2) == 0 && val == '+')) can2 = false;
r[x].push_back({y,val});
c[y].push_back({x,val});
}
ll ans = 0;
bool ok = true;
for(pair<ll,vector<pair<ll,char>>> cur : r){
sort(cur.S.begin(),cur.S.end());
for(ll i=1; i<ll(cur.S.size()); i++){
if (cur.S[i].S == cur.S[i-1].S && ((cur.S[i].F - cur.S[i-1].F)%2) == 1) ok = false;
if (cur.S[i].S != cur.S[i-1].S && ((cur.S[i].F - cur.S[i-1].F)%2) == 0) ok = false;
}
}
if (ok) ans = (ans + power(2,n-ll(r.size())))%mod;
ok = true;
for(pair<ll,vector<pair<ll,char>>> cur : c){
sort(cur.S.begin(),cur.S.end());
for(ll i=1; i<ll(cur.S.size()); i++){
if (cur.S[i].S == cur.S[i-1].S && ((cur.S[i].F - cur.S[i-1].F)%2) == 1) ok = false;
if (cur.S[i].S != cur.S[i-1].S && ((cur.S[i].F - cur.S[i-1].F)%2) == 0) ok = false;
}
}
if (ok) ans = (ans + power(2,m-ll(c.size())))%mod;
ans = (ans + mod - can1) % mod;
ans = (ans + mod - can2) % mod;
cout << ans << endl;
return 0;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 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 |
456 KB |
Output is correct |
| 6 |
Correct |
0 ms |
452 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 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 |
428 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 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 |
456 KB |
Output is correct |
| 6 |
Correct |
0 ms |
452 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 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 |
428 KB |
Output is correct |
| 11 |
Correct |
1 ms |
604 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 |
460 KB |
Output is correct |
| 15 |
Correct |
1 ms |
600 KB |
Output is correct |
| 16 |
Correct |
35 ms |
5972 KB |
Output is correct |
| 17 |
Correct |
36 ms |
5968 KB |
Output is correct |
| 18 |
Correct |
35 ms |
5892 KB |
Output is correct |
| 19 |
Correct |
35 ms |
6060 KB |
Output is correct |
| 20 |
Correct |
35 ms |
5944 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 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 |
456 KB |
Output is correct |
| 6 |
Correct |
0 ms |
452 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 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 |
428 KB |
Output is correct |
| 11 |
Correct |
1 ms |
604 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 |
460 KB |
Output is correct |
| 15 |
Correct |
1 ms |
600 KB |
Output is correct |
| 16 |
Correct |
35 ms |
5972 KB |
Output is correct |
| 17 |
Correct |
36 ms |
5968 KB |
Output is correct |
| 18 |
Correct |
35 ms |
5892 KB |
Output is correct |
| 19 |
Correct |
35 ms |
6060 KB |
Output is correct |
| 20 |
Correct |
35 ms |
5944 KB |
Output is correct |
| 21 |
Correct |
107 ms |
16340 KB |
Output is correct |
| 22 |
Correct |
0 ms |
344 KB |
Output is correct |
| 23 |
Correct |
93 ms |
16212 KB |
Output is correct |
| 24 |
Correct |
94 ms |
16212 KB |
Output is correct |
| 25 |
Correct |
117 ms |
16400 KB |
Output is correct |
| 26 |
Correct |
102 ms |
20484 KB |
Output is correct |
| 27 |
Correct |
100 ms |
20304 KB |
Output is correct |
| 28 |
Correct |
112 ms |
20308 KB |
Output is correct |
| 29 |
Correct |
123 ms |
20736 KB |
Output is correct |
| 30 |
Correct |
136 ms |
24404 KB |
Output is correct |
