#pragma GCC optimize("Ofast,unroll-loops")
// #pragma comment(linker, "/stack:200000000")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma,tune=native")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef int ll;
typedef long double ld;
typedef pair <ll, ll> pll;
#ifdef SINA
#define dbg(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << std::endl; }
template <typename Arg1, typename... Args> void __f (const char* names, Arg1&& arg1, Args&&... args) {
const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...); }
#define dbg2(x, j, n) cout<< #x << " : "; output((j), (n), x, 1); cout.flush();
#else
#define dbg(...) 0
#define dbg2(x, j, n) 0
#endif
#define SZ(x) ((ll)((x).size()))
#define File(s, t) freopen(s ".txt", "r", stdin); freopen(t ".txt", "w", stdout);
#define input(j, n, a) for (int _i = (j); _i < (n)+(j); _i++) cin>> a[_i];
#define output(j, n, a, t) for (int _i = (j); _i < (n)+(j); _i++) cout<< a[_i] << (((t) && _i != (n)+(j)-1)? ' ' : '\n');
#define kill(x) return cout<< (x) << endl, 0
#define cl const ll
#define fr first
#define sc second
#define lc (v << 1)
#define rc (lc | 1)
#define mid ((l + r) >> 1)
#define All(x) (x).begin(), (x).end()
cl inf = sizeof(ll) == 4 ? (1e9 + 10) : (3e18), mod = 1e9 + 7, MOD = 998244353;
template <class A,class B> ostream& operator << (ostream& out,const pair<A,B>&a){return out<<'('<<a.first<<", "<<a.second<<')';}
template <class A> ostream& operator << (ostream& out, const vector<A> &a) {
out<< '['; for (int i = -1; ++i < int(a.size());) out<< a[i] << (i + 1 < int(a.size()) ? ", " : ""); return out<<']'; }
template <class T, typename _t = less <T> > using Tree = tree <T, null_type, _t, rb_tree_tag, tree_order_statistics_node_update>;
inline ll bpow (ll x, ll n) { ll t = 1; for (; n; n >>= 1, x = 1LL * x * x % mod) if (n & 1) t = 1LL * t * x % mod; return t; }
cl N = 1e5 + 7;
ll n, m, k, ans;
map <ll, vector <array <ll, 2>>> X, Y;
bool shat1 = true, shat2 = true;
int main ()
{
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin>> n >> m >> k;
for (ll i = 0, x, y; i < k; i++) {
char c;
cin>> c >> x >> y;
X[x].push_back({y, c == '+'});
Y[y].push_back({x, c == '+'});
}
if (!k) {
ans = bpow(2, n) + bpow(2, m) - 2;
ans = ((ans % mod) + mod) % mod;
kill(ans);
}
for (auto &p : X) {
sort(All(p.sc));
for (ll i = 1; i < SZ(p.sc); i++) if (((p.sc[i][0] - p.sc[i-1][0]) & 1) ^ (p.sc[i][1] != p.sc[i-1][1])) shat1 = false;
}
for (auto &p : Y) {
sort(All(p.sc));
for (ll i = 1; i < SZ(p.sc); i++) if (((p.sc[i][0] - p.sc[i-1][0]) & 1) ^ (p.sc[i][1] != p.sc[i-1][1])) shat2 = false;
}
if (shat1 && shat2) {
ans = (bpow(2, n - SZ(X)) + bpow(2, m - SZ(Y)) - 1) % mod;
ans = (ans + mod) % mod;
} else if (shat1) {
ans = bpow(2, n - SZ(X));
} else if (shat2) {
ans = bpow(2, m - SZ(Y));
}
cout<< ans << endl;
cerr<< "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
return 0;
}
/*
2 4 4
+ 1 1
- 1 2
+ 1 3
- 1 4
3 3 3
- 2 1
+ 2 3
+ 3 3
4 4 0
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
53 ms |
2808 KB |
Output is correct |
17 |
Correct |
54 ms |
2756 KB |
Output is correct |
18 |
Correct |
59 ms |
2828 KB |
Output is correct |
19 |
Correct |
50 ms |
2720 KB |
Output is correct |
20 |
Correct |
51 ms |
2732 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
53 ms |
2808 KB |
Output is correct |
17 |
Correct |
54 ms |
2756 KB |
Output is correct |
18 |
Correct |
59 ms |
2828 KB |
Output is correct |
19 |
Correct |
50 ms |
2720 KB |
Output is correct |
20 |
Correct |
51 ms |
2732 KB |
Output is correct |
21 |
Correct |
179 ms |
13684 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
176 ms |
13740 KB |
Output is correct |
24 |
Correct |
176 ms |
13664 KB |
Output is correct |
25 |
Correct |
172 ms |
13744 KB |
Output is correct |
26 |
Correct |
190 ms |
18596 KB |
Output is correct |
27 |
Correct |
174 ms |
18596 KB |
Output is correct |
28 |
Correct |
188 ms |
18504 KB |
Output is correct |
29 |
Correct |
182 ms |
18552 KB |
Output is correct |
30 |
Correct |
228 ms |
22176 KB |
Output is correct |