cp/codeforces/962/f.cc
2025-09-17 22:22:41 -04:00

148 lines
2.8 KiB
C++

#include <bits/stdc++.h> // {{{
#include <version>
#ifdef __cpp_lib_ranges_enumerate
#include <ranges>
namespace rv = std::views;
namespace rs = std::ranges;
#endif
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
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());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template <typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {
i64 n, k;
cin >> n >> k;
vector<i64> a(n), b(n);
for (auto& e : a)
cin >> e;
for (auto& e : b)
cin >> e;
i64 l = 0, r = *max_element(a.begin(), a.end());
vector<i64> last_a(n);
i64 ans = 0, operations = 0;
while (l <= r) {
i64 m = l + (r - l) / 2, s = 0, o = 0;
for (u32 i = 0; i < n; ++i) {
if (a[i] >= m) {
i64 O = (a[i] - m) / b[i] + 1;
s += O * a[i] - b[i] * O * (O - 1) / 2;
o += O;
}
}
if (o <= k) {
ans = s;
operations = o;
for (u32 i = 0; i < n; ++i) {
i64 O = (a[i] - m) / b[i] + 1;
if (a[i] >= m) {
last_a[i] = a[i] - O * b[i];
}
}
r = m - 1;
} else
l = m + 1;
}
auto brute_force = [&]() {
set<pair<i64, i64>> tree;
i64 ans = 0;
for (i64 i = 0; i < n; ++i)
if (last_a[i] > 0)
tree.emplace(last_a[i], i);
for (i64 _ = 0; _ < k && !tree.empty(); ++_) {
auto it = prev(tree.end());
auto [score, i] = *it;
tree.erase(it);
ans += score;
if (score > b[i])
tree.emplace(score - b[i], i);
}
return ans;
};
k -= operations;
if (k > 0)
ans += brute_force();
cout << ans << '\n';
}
int main() { // {{{
std::cin.exceptions(std::cin.failbit);
#ifdef LOCAL
std::cerr.rdbuf(std::cout.rdbuf());
std::cout.setf(std::ios::unitbuf);
std::cerr.setf(std::ios::unitbuf);
#else
std::cin.tie(nullptr)->sync_with_stdio(false);
#endif
u32 tc = 1;
std::cin >> tc;
for (u32 t = 0; t < tc; ++t) {
solve();
}
return 0;
}
// }}}