cp/codeforces/996/e.cc
2025-02-09 15:59:43 -05:00

145 lines
3.1 KiB
C++

#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
template <typename... Args>
void pr(std::format_string<Args...> fmt, Args&&... args) {
std::print(fmt, std::forward<Args>(args)...);
}
template <typename... Args>
void pr(std::format_string<Args...> fmt) {
std::print(fmt);
}
template <typename... Args>
void prln(std::format_string<Args...> fmt, Args&&... args) {
std::println(fmt, std::forward<Args>(args)...);
}
template <typename... Args>
void prln(std::format_string<Args...> fmt) {
std::println(fmt);
}
using ll = long long;
using ld = long double;
template <typename T>
using vec = std::vector<T>;
#define ff first
#define ss second
#define eb emplace_back
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define FORI(a, b, c) for (int a = (b); a < (c); ++a)
#define ROFI(a, b, c) for (int a = (b); a > (c); --a)
#define FORLL(a, b, c) for (ll a = (b); a < (c); ++a)
#define ROFLL(a, b, c) for (ll a = (b); a > (c); --a) // }}}
void fill(vec<vec<ll>>& matrix, vec<int>& a, int k) {
int n = matrix.size();
int m = matrix[0].size();
vec<vec<int>> extra(n, vec<int>(m));
FORI(i, 0, n) {
FORI(j, 0, m) {
int top = max(0, i - (k - 1));
int left = max(0, j - (k - 1));
int bottom = min(n - k, i);
int right = min(m - k, j);
extra[i][j] = (bottom - top + 1) * (right - left + 1);
}
}
vec<pair<int, pair<int, int>>> cells;
FORI(i, 0, n) {
FORI(j, 0, m) {
cells.push_back({extra[i][j], {i, j}});
}
}
sort(rall(cells));
FORI(i, 0, min(n * m, sz<int>(a))) {
auto [x, y] = cells[i].ss;
matrix[x][y] = a[i];
}
}
long long sums(vector<vector<ll>>& matrix, int k) {
int n = matrix.size(), m = matrix[0].size();
vec<vec<ll>> prefix(n + 1, vec<ll>(m + 1, 0));
FORI(i, 1, n + 1) {
FORI(j, 1, m + 1) {
prefix[i][j] = matrix[i - 1][j - 1] + prefix[i - 1][j] +
prefix[i][j - 1] - prefix[i - 1][j - 1];
}
}
auto get = [&](int r1, int c1, int r2, int c2) -> ll {
return prefix[r2 + 1][c2 + 1] - prefix[r2 + 1][c1] - prefix[r1][c2 + 1] +
prefix[r1][c1];
};
ll ans = 0;
FORI(i, 0, n - k + 1) {
FORI(j, 0, m - k + 1) {
ans += get(i, j, i + k - 1, j + k - 1);
}
}
return ans;
}
void solve() {
int n, m, k;
cin >> n >> m >> k;
int w;
cin >> w;
vec<int> a(w);
for (auto& e : a)
cin >> e;
sort(rall(a));
vector<vector<ll>> matrix(n, vector<ll>(m, 0));
fill(matrix, a, k);
prln("{}", sums(matrix, k));
}
int main() { // {{{
cin.tie(nullptr)->sync_with_stdio(false);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
} //}}}