This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using i64 = long long;
struct Point {
i64 x;
i64 y;
};
constexpr int N = 1 << 13;
int main() {
i64 W, H;
int K;
std::cin >> W >> H >> K;
std::vector<Point> points(K);
std::map<i64, int> mEx;
for (auto &[x, y] : points) {
std::cin >> x >> y;
--x;
--y;
mEx[y] |= 1 << x;
}
auto searchNext = [&](int s) {
static std::array<std::vector<int>, N> g;
static std::vector<int> seen(N);
if (seen[s]) {
return g[s];
}
seen[s] = true;
auto dfs = [&](auto &&self, int t, int b) -> void {
if (b >= W) {
g[s].push_back(t);
return;
}
if (s & (1 << b)) {
self(self, t, b + 1);
return;
}
if (b != 0) {
if (not (t & (1 << (b - 1)))) {
int newT = t;
newT |= 1 << (b - 1);
newT |= 1 << b;
self(self, newT, b + 1);
}
}
if (b != W - 1) {
int newT = t;
newT |= 1 << b;
newT |= 1 << (b + 1);
self(self, newT, b + 2);
newT = t;
if (not(s & (1 << (b + 1)))) {
newT = t;
newT |= 1 << b;
self(self, newT, b + 2);
newT = t;
newT |= 1 << (b + 1);
self(self, newT, b + 2);
}
}
};
dfs(dfs, 0, 0);
return g[s];
};
std::vector dp(1 << W, false);
dp[(1 << W) - 1] = true;
for (int i = 0; i < H; ++i) {
std::vector ndp(1 << W, false);
for (int s = 0; s < (1 << W); ++s) {
if (not dp[s]) {
continue;
}
const int b = mEx[i];
const auto g = searchNext(s);
for (const auto t : g) {
if ((t & b) != 0) {
continue;
}
ndp[t | b] = true;
}
}
dp = std::move(ndp);
}
std::cout << (dp[(1 << W) - 1] ? "YES" : "NO") << std::endl;
}
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