This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#undef _GLIBCXX_DEBUG // disable run-time bound checking, etc
#pragma GCC optimize("Ofast,inline") // Ofast = O3,fast-math,allow-store-data-races,no-protect-parens
#pragma GCC optimize ("unroll-loops")
#pragma GCC target("bmi,bmi2,lzcnt,popcnt") // bit manipulation
#pragma GCC target("movbe") // byte swap
#pragma GCC target("aes,pclmul,rdrnd") // encryption
#pragma GCC target("avx,avx2,f16c,fma,sse3,ssse3,sse4.1,sse4.2") // SIMD
#include <bits/stdc++.h>
using namespace std;
#define enablell 0
typedef long long ll;
typedef unsigned long long ull;
#if enablell
#define int ll
#define inf int(1e18)
#define float double
#else
const int inf = int(2e9);
#endif
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<vvvi> vvvvi;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<vvb> vvvb;
typedef pair<int, int> p2;
typedef vector<p2> vp2;
typedef vector<vp2> vvp2;
typedef vector<vvp2> vvvp2;
typedef tuple<int, int, int> p3;
typedef vector<p3> vp3;
typedef vector<vp3> vvp3;
typedef vector<vvp3> vvvp3;
typedef tuple<int, int, int, int> p4;
typedef vector<p4> vp4;
#define _LOCAL _MSC_VER > 0
#if _LOCAL
#define gc() getchar()
#define popcount(x) __popcnt(x)
#define leading_zeros(x) _lzcnt_u32(x)
#define assert(x) debassert(x)
#else
#define popcount(x) __builtin__popcount(x)
#define leading_zeros(x) __builtin_clz(x)
#define gc() getchar_unlocked()
#if 0
#include <bits/extc++.h>
using namespace __gnu_pbds;
struct chash { // large odd number for C
const uint64_t C = ll(4e18 * acos(0)) | 71;
ll operator()(ll x) const { return x; }
};
//typedef __gnu_pbds::gp_hash_table<int, null_type, chash> h;
#endif
#endif
#define CIN_IN 1
#define FILE_TC 0
#if FILE_TC
ifstream filein("C:\\Users\\Matis\\source\\repos\\Comp prog\\x64\\Debug\\in.txt");
#define cin filein
//ifstream cin("C:\\Users\\Matis\\desktop\\po-two\\swedish-olympiad-2014\\");
void fast() {}
#else
inline void fast() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); }
#endif
#if !FILE_TC && !CIN_IN
inline void read(int& v) { v = 0; int sign = 1; char c = gc(); if (c == '-') { sign = -1; } else { v += c - '0'; } while ((c = gc()) != EOF && c != ' ' && c != '\n') { v *= 10; v += c - '0'; } v *= sign; }
inline void read(int& u, int& v) { read(u); read(v); }
//inline void read(int& v) { char c; while ((c = getchar()) != EOF && c != ' ' && c != '\n') { v *= 10; v += c - '0'; } }
inline void read(string& s) { char c; while ((c = gc()) != EOF && c != '\n' && c != ' ') { s.push_back(c); } }
#else
template <typename T> inline void read(T& a) { cin >> a; }
template <typename T> inline void read(T& a, T& b) { cin >> a >> b; }
template <typename T> inline void read(T& a, T& b, T& c) { cin >> a >> b >> c; }
#endif
template <typename T> inline void write(T& a) { cout << (a) << "\n"; }
#define quit cout << endl; _Exit(0);
#define dread(type, a) type a; read(a)
#define dread2(type, a, b) dread(type, a); dread(type, b)
#define dread3(type, a, b, c) dread2(type, a, b); dread(type, c)
#define dread4(type, a, b, c, d) dread3(type, a, b, c); dread(type, d)
#define dread5(type, a, b, c, d, e) dread4(type, a, b, c, d); dread(type, e)
#define readvector(type, name, size) vector<type> name(size); rep(i,size) {dread(type,temp); name[i]=temp;}
#ifdef _DEBUG
#define noop cout << "";
#define deb __debugbreak();
#define debassert(expr) if (!(expr)) deb;
#define debif(expr) if(expr) deb;
#else
#define noop ;
#define deb ;
#define debassert(expr) ;
#define debif(expr) ;
#endif
#define rep(i, high) for (int i = 0; i < high; i++)
#define repp(i, low, high) for (int i = low; i < high; i++)
#define repe(i, container) for (auto& i : container)
#define per(i, high) for (int i = high-1; i >= 0; i--)
#define perr(i, low, high) for (int i = high-1; i >= low; i--)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define revall(a) a.rbegin(),a.rend()
#define setcontains(set, x) (set.find(x) != set.end())
#define within(a, b, c, d) (a >= 0 && a < b && c >= 0 && c < d)
#define sz(container) ((int)container.size())
#define mp(a,b) (make_pair(a,b))
#define first(a) (*begin(a))
#define indexpair(p, i) ((i==0)?p.first:p.second)
#define chmax(a,b) ((a)=max((a),b))
#define chmin(a,b) ((a)=min((a),b))
#define ceildiv(x,y) ((x + y - 1) / y)
#define fract(a) (a-floor(a))
template <typename T, typename U> inline void operator+=(pair<T, U>& l, const pair<T, U>& r) { l = { l.first + r.first,l.second + r.second }; }
template <typename T, typename U> inline pair<T, U> operator+(const pair<T, U> l, const pair<T, U> r) { return { l.first + r.first, l.second + r.second }; }
template <typename T, typename U> inline pair<T, U> operator-(const pair<T, U> l, const pair<T, U> r) { return { l.first - r.first, l.second - r.second }; }
template <typename T, typename U> inline pair<T, U> operator*(const pair<T, U> l, const int m) { return { l.first * m, l.second * m }; }
template <typename Out> inline void split(const string& s, char delim, Out result) { istringstream iss(s); string item; while (getline(iss, item, delim)) { *result++ = item; } }
inline vector<string> split(const string& s, char delim) { vector<string> elems; split(s, delim, back_inserter(elems)); return elems; }
#if 1
auto Start = chrono::high_resolution_clock::now();
#define elapsedmillis() (chrono::duration_cast<chrono::milliseconds>(chrono::high_resolution_clock::now() - Start).count())
#define rununtil(time) if (elapsedmillis() >= time) break;
random_device rd;
mt19937 rng(rd());
#endif
const int mod = 1e9 + 7;
// a^b mod m
long long binpow(long long a, long long b, long long m)
{
a %= m;
long long res = 1;
while (b > 0) {
if (b & 1)
res = res * a % m;
a = a * a % m;
b >>= 1;
}
return res;
}
struct point
{
int x;
int y;
int sign;
};
bool doublecount = true;
ll solve(int n, int m, vector<point>& points)
{
map<ll, vp2> rows;
map<ll, vp2> rowsminus;
repe(p, points)
{
rows[p.y].emplace_back(p.x, p.sign);
}
int lockedrows = 0;
repe(row, rows)
{
int start = (row.second[0].first + row.second[0].second) % 2;
bool works = true;
repp(i, 1, row.second.size()) works &= (row.second[i].first+row.second[i].second)%2 == start;
if (!works)
{
doublecount = false;
return 0;
}
lockedrows++;
}
return binpow(2, m - lockedrows, mod);
}
int32_t main()
{
fast();
dread3(int, n, m, k);
vector<point> samples(k);
rep(i, k)
{
char c;
cin >> c;
samples[i].sign = c=='+';
cin >> samples[i].x;
cin >> samples[i].y;
}
ll ans = solve(n, m, samples);
rep(i, k) swap(samples[i].x, samples[i].y);
ans += solve(m, n, samples);
if (doublecount)
{
if (k == 0) ans = (((ans - 2) % mod) + mod) % mod;
else ans = (((ans - 1) % mod) + mod) % mod;
}
cout << ans;
quit;
/*int ans = 0;
rep(mask, (1 << (n * m)))
{
vvi grid(n, vi(m));
int c = 0;
rep(i, n)
{
rep(j, m)
{
grid[i][j] = (mask & (1 << (c++)))>0;
}
}
bool works = true;
rep(i, n-1)
{
rep(j, m-1)
{
int s = 0;
s += grid[i][j];
s += grid[i+1][j];
s += grid[i][j+1];
s += grid[i+1][j+1];
if (s != 2)
{
works = false;
}
}
}
if (works)
{
rep(i, n)
{
rep(j, m)
{
cout << (grid[i][j] ? '+' : '-');
}
cout << "\n";
}
ans++;
cout << "#########\n";
}
}
cout << ans;
*/
quit;
}
Compilation message (stderr)
plusminus.cpp: In function 'll solve(int, int, std::vector<point>&)':
plusminus.cpp:106:48: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
106 | #define repp(i, low, high) for (int i = low; i < high; i++)
......
180 | repp(i, 1, row.second.size()) works &= (row.second[i].first+row.second[i].second)%2 == start;
| ~~~~~~~~~~~~~~~~~~~~~~~
plusminus.cpp:180:9: note: in expansion of macro 'repp'
180 | repp(i, 1, row.second.size()) works &= (row.second[i].first+row.second[i].second)%2 == start;
| ^~~~
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