제출 #966224

#제출 시각아이디문제언어결과실행 시간메모리
966224duckindogAliens (IOI16_aliens)C++17
100 / 100
148 ms9208 KiB
#include <bits/stdc++.h> using namespace std; #ifndef LOCAL #include "aliens.h" #endif struct Line { long long a, b; int idx; double x(const auto& rhs) { return 1.0 * (rhs.b - b) / (a - rhs.a); }; long long cal(const auto& x) { return a * x + b; } }; struct CHT { Line s[100'000 + 10]; int st = 1, ed = 0; void add(Line nline) { while (ed - st + 1 >= 2 && s[ed - 1].x(s[ed]) > s[ed - 1].x(nline)) ed -= 1; s[++ed] = nline; } Line get(long long x) { while (ed - st + 1 >= 2 && s[st].cal(x) > s[st + 1].cal(x)) st += 1; return s[st]; } }; long long take_photos(int n, int m, int k, vector<int> row, vector<int> column) { using pii = pair<int, int>; vector<pii> p(n); for (int i = 0; i < n; ++i) { if (row[i] > column[i]) swap(row[i], column[i]); p[i] = {row[i], column[i]}; } auto dis = [&](pii a) { return abs(a.first - a.second) + 1; }; { //sort_the_points sort(p.begin(), p.end(), [&](const auto& a, const auto& b) { return make_pair(a.first, -dis(a)) < make_pair(b.first, -dis(b)); }); vector<bool> mk(n, true); pii point = {-1, -1}; for (int i = 0; i < n; ++i) { if (point.first <= p[i].first && p[i].second <= point.second) mk[i] = false; else point = p[i]; } int cnt = 0; for (int i = 0; i < n; ++i) { cnt += mk[i]; if (mk[i]) p.push_back(p[i]); } p.erase(p.begin(), p.begin() + n); p.push_back({-1, -1}); k = min(k, n = cnt); sort(p.begin(), p.end(), [&](const auto& a, const auto& b) { return a.first < b.first; }); } auto cost = [&](const auto& C) { vector<long long> f(n + 1, 1'000'000'000'000'000), g(n + 1); CHT hull; f[0] = 0; for (int i = 1; i <= n; ++i) { long long pl = -p[i].first + 1; long long pre = max(0ll, p[i - 1].second + pl); pre *= pre; Line nline = {2 * pl, f[i - 1] + pl * pl - pre, i - 1}; hull.add(nline); Line opt = hull.get(p[i].second); g[i] = g[opt.idx] + 1; f[i] = opt.cal(p[i].second) + 1ll * p[i].second * p[i].second + C; } return make_pair(f[n], g[n]); }; long long l = 0, r = 1'000'000'000'000'000'000; long long answer = 1'000'000'000'000'000'000; while (l <= r) { long long mid = l + r >> 1; auto [val, cnt] = cost(mid); if (cnt <= k) { r = mid - 1; answer = val - k * mid; } else l = mid + 1; } return answer; } #ifdef LOCAL int32_t main() { cin.tie(0)->sync_with_stdio(0); int n, m, k; cin >> n >> m >> k; vector<int> r(n), c(n); for (int i = 0; i < n; ++i) cin >> r[i] >> c[i]; cout << take_photos(n, m, k, r, c) << "\n"; } #endif

컴파일 시 표준 에러 (stderr) 메시지

aliens.cpp:12:18: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   12 |   double x(const auto& rhs) { return 1.0 * (rhs.b - b) / (a - rhs.a); };
      |                  ^~~~
aliens.cpp:13:23: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   13 |   long long cal(const auto& x) { return a * x + b; }
      |                       ^~~~
aliens.cpp: In function 'long long int take_photos(int, int, int, std::vector<int>, std::vector<int>)':
aliens.cpp:86:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   86 |     long long mid = l + r >> 1;
      |                     ~~^~~
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