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#include <bits/stdc++.h>
#include "rect.h"
using namespace std;
using L = long long;
constexpr size_t N = 700;
int16_t p[N][N], q[N][N], r[N][N], s[N][N];
bitset<N> rowwise[N], colwise[N], mask[N];
L count_rectangles(vector<vector<int>> a)
{
int16_t const n = a.size(), m = a[0].size();
for (int16_t i = 0; i < n; ++i)
for (int16_t j = 0; j < m; ++j)
{
p[i][j] = j + 1;
q[i][j] = j - 1;
r[i][j] = i + 1;
s[i][j] = i - 1;
while (p[i][j] < m && a[i][p[i][j]] < a[i][j])
++p[i][j];
while (q[i][j] >= 0 && a[i][q[i][j]] < a[i][j])
--q[i][j];
while (r[i][j] < n && a[r[i][j]][j] < a[i][j])
++r[i][j];
while (s[i][j] >= 0 && a[s[i][j]][j] < a[i][j])
--s[i][j];
}
vector<pair<int16_t, int16_t>> left_end, top_end;
for (int16_t i = 1; i + 1 < n; ++i)
for (int16_t j = 2; j < m; ++j)
left_end.emplace_back(i, j);
for (int16_t i = 2; i < n; ++i)
for (int16_t j = 1; j + 1 < m; ++j)
top_end.emplace_back(i, j);
sort(left_end.begin(), left_end.end(), [](auto const &a, auto const &b)
{ return q[a.first][a.second] < q[b.first][b.second]; });
sort(top_end.begin(), top_end.end(), [](auto const &a, auto const &b)
{ return s[a.first][a.second] < s[b.first][b.second]; });
for (int16_t i = 0; i < N; ++i)
for (int16_t j = 0; j <= i; ++j)
mask[i][j] = 1;
L ans = 0;
auto it = top_end.begin();
for (int16_t i = 0; i + 2 < n; ++i)
{
while (it < top_end.end() && s[it->first][it->second] <= i)
colwise[it->first][it->second] = 1, ++it;
for (bitset<N> &b : rowwise)
b.reset();
auto jt = left_end.begin();
for (int16_t j = 0; j + 2 < m; ++j)
{
while (jt < left_end.end() && q[jt->first][jt->second] <= j)
rowwise[jt->first][jt->second] = 1, ++jt;
vector<int16_t> top_limitation;
for (int16_t k = m - 1; k > j; --k)
{
while (!top_limitation.empty() && r[i][k] <= r[i][top_limitation.back()])
top_limitation.pop_back();
top_limitation.push_back(k);
}
reverse(top_limitation.begin(), top_limitation.end());
bitset<N> possible;
for (int16_t k = j + 2; k < m; ++k)
possible[k] = 1;
int16_t col_upper_lim = m - 1;
for (int16_t k = i + 1; k + 1 < n; ++k)
{
col_upper_lim = min(col_upper_lim, p[k][j]);
possible &= rowwise[k];
if (!top_limitation.empty() && k >= r[i][top_limitation.back()])
{
col_upper_lim = min(col_upper_lim, top_limitation.back());
top_limitation.pop_back();
}
L c = (possible & mask[min<size_t>(col_upper_lim, (~colwise[k + 1])._Find_next(j))]).count();
ans += c;
}
}
}
return ans;
}
컴파일 시 표준 에러 (stderr) 메시지
rect.cpp: In function 'L count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:45:27: warning: comparison of integer expressions of different signedness: 'int16_t' {aka 'short int'} and 'const size_t' {aka 'const long unsigned int'} [-Wsign-compare]
45 | for (int16_t i = 0; i < N; ++i)
| ~~^~~
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