제출 #218264

#제출 시각아이디문제언어결과실행 시간메모리
218264emil_physmathAliens (IOI16_aliens)C++17
60 / 100
2137 ms707664 KiB
#include "aliens.h" #include <algorithm> #include <iostream> #include <vector> using namespace std; using llong = long long; struct Rat { llong a, b; Rat(llong a_ = 0, llong b_ = 1) : a(a_) , b(b_) {} Rat operator-() const { return Rat(-a, b); } }; const Rat inf = Rat(1000'000'000LL, 1); bool operator<(const Rat& l, const Rat& r) { if ((l.b < 0) ^ (r.b < 0)) return l.a * r.b > r.a * l.b; return l.a * r.b < r.a * l.b; } struct Line { llong k, b; Line(llong k_ = 1, llong b_ = 0) : k(k_) , b(b_) {} llong operator()(llong x) const { return k * x + b; } }; Rat Inter(const Line& a, const Line& b) { return Rat(a.b - b.b, b.k - a.k); } vector<vector<Line> > cht; vector<vector<Rat> > st; void Add(vector<Line>& cht, vector<Rat>& st, Line l, llong ind) { while (cht.size() >= 2 && Inter(cht.back(), l) < Inter(*next(cht.rbegin()), l)) { cht.pop_back(); st.pop_back(); } if (cht.size()) st.push_back(Inter(cht.back(), l)); else st.push_back(-inf); cht.push_back(l); } llong Min(vector<Line>& cht, vector<Rat>& st, llong x) { if (cht.size() == 2 && cht[1].k == -2 && cht[1].b == 2 && x == 3) cerr << ""; llong i = prev(upper_bound(st.begin(), st.end(), Rat(x))) - st.begin(); return cht[i](x); } long long take_photos(int n, int m, int k, std::vector<int> r, std::vector<int> c) { swap(m, n); cht.resize(k + 1); st.resize(k + 1); struct Pollong { llong x, y; }; vector<Pollong> a(m); for (llong i = 0; i < m; ++i) { if (r[i] < c[i]) swap(r[i], c[i]); a[i] = Pollong{r[i], n - c[i] - 1}; } sort(a.begin(), a.end(), [](const Pollong& l, const Pollong& r) { return make_pair(l.x, l.y) < make_pair(r.x, r.y); }); vector<Pollong> b; for (llong i = 0; i < a.size(); ++i) { while (b.size() && b.back().y <= a[i].y) b.pop_back(); b.push_back(a[i]); } vector<llong> hei(b.size()); for (llong i = 0; i < b.size(); ++i) hei[i] = b[i].y + b[i].x - n + 2; vector<vector<llong> > dp(b.size(), vector<llong>(k + 1)); for (llong j = 1; j <= k; ++j) { dp[0][j] = hei[0] * hei[0]; llong i = 0; llong l = b[0].x; Add(cht[j], st[j], Line(2LL * hei[i] - 2LL * l, -2LL * l * hei[i] + l * l + dp[i][j]), 0); } for (llong i = 1; i < b.size(); ++i) for (llong j = 1; j <= k; ++j) { dp[i][j] = b[i].x * b[i].x + Min(cht[j], st[j], b[i].x); if (j > 1) { llong curdp = dp[i - 1][j - 1] + hei[i] * hei[i] - max(b[i - 1].x - b[i].x + hei[i], 0LL) * max(b[i - 1].x - b[i].x + hei[i], 0LL); llong l = b[i].x; Add(cht[j], st[j], Line(2LL * hei[i] - 2LL * l, -2LL * l * hei[i] + l * l + curdp), i); if (curdp < dp[i][j]) dp[i][j] = curdp; } } llong ans = dp[b.size() - 1][1]; for (llong j = 2; j <= k; ++j) ans = min(ans, dp[b.size() - 1][j]); return ans; }

컴파일 시 표준 에러 (stderr) 메시지

aliens.cpp: In function 'long long int take_photos(int, int, int, std::vector<int>, std::vector<int>)':
aliens.cpp:71:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (llong i = 0; i < a.size(); ++i)
                       ~~^~~~~~~~~~
aliens.cpp:78:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (llong i = 0; i < b.size(); ++i)
                       ~~^~~~~~~~~~
aliens.cpp:88:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (llong i = 1; i < b.size(); ++i)
                       ~~^~~~~~~~~~
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