Submission #388490

#	Time	Username	Problem	Language	Result	Execution time	Memory
388490		Return_0	Plus Minus (BOI17_plusminus)	C++17	100 / 100	228 ms	22176 KiB

plusminus

#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

*/

• Subtask 1: 12 / 12
• Subtask 2: 42 / 42
• Subtask 3: 46 / 46