제출 #1185976

#제출 시각아이디문제언어결과실행 시간메모리
1185976steveonalexPlus Minus (BOI17_plusminus)C++20
100 / 100
94 ms10824 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; #define MASK(i) (1ULL << (i)) #define GETBIT(mask, i) (((mask) >> (i)) & 1) #define ALL(v) (v).begin(), (v).end() ll max(ll a, ll b){return (a > b) ? a : b;} ll min(ll a, ll b){return (a < b) ? a : b;} ll gcd(ll a, ll b){return __gcd(abs(a), abs(b));} ll lcm(ll a, ll b){return abs(a) / gcd(a, b) * abs(b);} ll LASTBIT(ll mask){return (mask) & (-mask);} int pop_cnt(ull mask){return __builtin_popcountll(mask);} int ctz(ull mask){return __builtin_ctzll(mask);} int logOf(ull mask){return 63 - __builtin_clzll(mask);} mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); // mt19937_64 rng(1); ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);} template <class T1, class T2> bool maximize(T1 &a, T2 b){ if (a < b) {a = b; return true;} return false; } template <class T1, class T2> bool minimize(T1 &a, T2 b){ if (a > b) {a = b; return true;} return false; } template <class T> void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){ for(auto item: container) out << item << separator; out << finish; } template <class T> void remove_dup(vector<T> &a){ sort(ALL(a)); a.resize(unique(ALL(a)) - a.begin()); } const int MOD = 1e9 + 7; struct Modular{ ll x; Modular(ll _x = 0){ x = _x % MOD; if (x < 0) x += MOD; } Modular& operator += (Modular y){ x += y.x; if (x >= MOD) x -= MOD; return *this; } Modular operator + (Modular y) { Modular tmp = *this; return tmp += y; } Modular& operator -= (Modular y){ x -= y.x; if (x < 0) x += MOD; return *this; } Modular operator - (Modular y) { Modular tmp = *this; return tmp -= y; } Modular& operator *= (Modular y){ x *= y.x; if (x >= MOD) x %= MOD; return *this; } Modular operator * (Modular y) { Modular tmp = *this; return tmp *= y; } bool operator == (Modular y){ return x == y.x; } bool operator != (Modular y){ return x != y.x; } }; ostream& operator << (ostream& out, Modular x){ out << x.x; return out; } Modular fast_pow(Modular a, int n){ Modular ans = 1; while(n > 0){ if (n & 1) ans *= a; a *= a; n >>= 1; } return ans; } Modular inverse(Modular a){return fast_pow(a, MOD - 2);} void solve(){ int n, m, k; cin >> n >> m >> k; if (k == 0){ Modular ans = fast_pow(2, n) + fast_pow(2, m) - 2; cout << ans << "\n"; } else { vector<array<int, 3>> a(k); for(int i = 0; i < k; ++i){ char c; cin >> c; cin >> a[i][0] >> a[i][1]; a[i][2] = (c == '+'); } Modular ans = 0; map<int, int> row, column; for(auto i: a){ int parity = (i[1] + i[2]) % 2; row[i[0]] |= MASK(parity); parity = (i[0] + i[2]) % 2; column[i[1]] |= MASK(parity); } bool check1 = true, check2 = true; for(pair<int, int> i: row) if (i.second == 3) check1 = false; for(pair<int, int> i: column) if (i.second == 3) check2 = false; if (check1){ ans += fast_pow(2, n - row.size()); } if (check2){ ans += fast_pow(2, m - column.size()); } // both grid is alternating bool check3 = true; for(int i = 1; i < k; ++i){ int prev = (a[i-1][2] + a[i-1][0] + a[i-1][1]) % 2; int cur = (a[i][2] + a[i][0] + a[i][1]) % 2; if (prev != cur) check3 = false; } if (check3) ans -= Modular(1); cout << ans << "\n"; } } int main(void){ ios::sync_with_stdio(0);cin.tie(0); cout.tie(0); clock_t start = clock(); solve(); cerr << "Time elapsed: " << clock() - start << "ms!\n"; return 0; }
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