This commit is contained in:
2026-07-28 00:33:27 +08:00
parent 2b6dc69bde
commit 8bc1b22a1c
14 changed files with 529 additions and 124 deletions
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#include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
using namespace std;
double other_leg(const double leg, const double diag) {
return sqrt(diag * diag - leg * leg);
}
double diag(const double leg1, const double leg2) {
return sqrt(leg1 * leg1 + leg2 * leg2);
}
int required_radars(vector<pair<int, int>> islands, int distance) {
for (auto& [island_x, island_y] : islands) {
if (island_y > distance) { return -1; }
}
sort(islands.begin(), islands.end());
int answer = 0;
while (!islands.empty()) {
answer++;
const auto current_island = islands.back();
islands.pop_back();
double min_x = current_island.first
- other_leg(current_island.second, distance)
- current_island.second;
vector<pair<int, int>> uncovered_islands;
while (!islands.empty() && islands.back().first >= min_x) {
// 右移雷达
const double offset = other_leg(islands.back().second, distance);
if (islands.back().first - offset >= min_x) {
min_x = islands.back().first - offset;
} else {
uncovered_islands.push_back(islands.back());
}
islands.pop_back();
}
for (int i = uncovered_islands.size() - 1; i >= 0; i--) { // NOLINT(*-narrowing-conversions)
islands.push_back(uncovered_islands[i]);
}
}
return answer;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, distance, case_id = 0;
while (cin >> n >> distance) {
if (n == 0 && distance == 0) { break; }
vector<pair<int, int>> islands(n);
for (int i = 0; i < n; i++) {
cin >> islands[i].first >> islands[i].second;
}
cout << "Case " << ++case_id << ": " << required_radars(islands, distance) << endl;
}
}