This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*input
2 3 0
*/
#pragma GCC optimize ("O3")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
template <typename T>
using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int W, H, K;
cin >> W >> H >> K;
map<int, int>A;
while (K--)
{
int x, y;
cin >> x >> y;
if (A.count(y) == 0)
A[y] = 0;
A[y] |= 1 << (x - 1);
}
bitset < 1 << 13 > gal;
gal[(1 << W) - 1] = true;
vector<int>X[1 << 13];
A[H + 1] = 0;
for (int i = 1; i <= H;)
{
int msk = 0;
function<void(int, int, int)>dfs = [&](int i, int m1, int m2)
{
if (i == W - 1)
{
if (m1 == (1 << W) - 1)
X[msk].push_back(m2);
return;
}
for (int da : {0, 1})
{
for (int db : {0, 1})
{
int m[2] = {m1, m2};
bool ok = true;
for (int dx : {0, 1})
{
for (int dy : {0, 1})
{
if (dx == da && dy == db)
continue;
if ((m[dx] & (1 << (i + dy))) != 0)
ok = false;
m[dx] |= 1 << (i + dy);
}
}
if (ok)
dfs(i + 1, m[0], m[1]);
}
}
dfs(i + 1, m1, m2);
};
if (A[i] == 0)
{
int i1 = A.upper_bound(i)->first;
vector < bitset < 1 << 13>>V = {gal};
for (int t = 1; t <= (i1 - i); t++)
{
bitset < 1 << 13 > gal_;
for (msk = 0; msk < (1 << W); msk++)
if (gal[msk])
{
if (X[msk].empty())
dfs(0, msk, 0);
for (int msk1 : X[msk])
if ((msk1 & A[i]) == 0)
gal_[msk1 | A[i]] = true;
}
gal = gal_;
for (int k = 0; k < (int)V.size(); k++)
if (V[k] == gal)
{
int v = (i1 - k - i) % (t - k);
if (v < 0)
v += t - k;
gal = V[k + v];
t = i1 - i + 1;
break;
}
V.push_back(gal);
}
i = i1;
}
else {
bitset < 1 << 13 > gal_;
for (msk = 0; msk < (1 << W); msk++)
if (gal[msk])
{
if (X[msk].empty())
dfs(0, msk, 0);
for (int msk1 : X[msk])
if ((msk1 & A[i]) == 0)
gal_[msk1 | A[i]] = true;
}
gal = gal_;
i++;
}
}
if (gal[(1 << W) - 1])
cout << "YES\n";
else
cout << "NO\n";
}
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