This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "aliens.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define intersectX(a, b) (b.c - a.c) / (double) (a.m - b.m)
struct Photo {
int x, s;
};
struct Line {
ll m, c;
ll eval(ll x) {
return m * x + c;
}
};
// double intersectX(Line& a, Line& b) {
// return (b.c - a.c) / (double) (a.m - b.m);
// }
ll take_photos(int n, int m, int k, vector<int> r, vector<int> c) {
vector<int> size(m, 0);
for (int i = 0; i < n; i++) {
if (r[i] <= c[i]) size[r[i]] = max(size[r[i]], c[i] - r[i] + 1);
else size[c[i]] = max(size[c[i]], r[i] - c[i] + 1);
}
vector<Photo> photos;
vector<ll> add(1), st(1);
int prev = 0;
for (int i = 0; i < m; i++) {
if (size[i] > prev) {
prev = size[i];
if (photos.empty() || i >= photos.back().x + photos.back().s) {
st.push_back(0);
add.push_back(add.back() + 1ll * size[i] * size[i]);
} else {
ll start = photos.back().x + photos.back().s - i;
add.push_back(add.back() + 1ll * size[i] * size[i] - start * start);
st.push_back(start * start);
}
photos.push_back({ i, size[i] });
}
prev = max(0, prev - 1);
}
ll ans = add[photos.size()];
vector<deque<Line>> hulls(k+1);
for (int i = 0; i < photos.size(); i++) {
for (int j = k; j >= 1; j--) {
auto& d = hulls[j-1];
ll a;
ll endPoint = photos[i].x + photos[i].s;
if (j > 1 && d.size() > 0) {
while (d.size() >= 2 && d[0].eval(endPoint) > d[1].eval(endPoint))
d.pop_front();
Line& val = d[0];
a = val.m * endPoint + val.c + 1ll * endPoint * endPoint - add[i+1];
} else if (j == 1) {
ll w = endPoint - photos.front().x;
a = w * w - add[i+1];
}
if (i == photos.size() - 1 && j == k) {
ans += a;
break;
}
auto& q = hulls[j];
Line next = { -2 * photos[i+1].x, 1ll * photos[i+1].x * photos[i+1].x - st[i+2] + add[i+1] + a };
int s = q.size() - 1;
while (s >= 1 && intersectX(next, q[s-1]) < intersectX(q[s-1], q[s])) {
q.pop_back();
s--;
}
q.push_back(next);
}
}
return ans;
}
Compilation message (stderr)
aliens.cpp: In function 'll take_photos(int, int, int, std::vector<int>, std::vector<int>)':
aliens.cpp:52:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Photo>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
52 | for (int i = 0; i < photos.size(); i++) {
| ~~^~~~~~~~~~~~~~~
aliens.cpp:68:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Photo>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
68 | if (i == photos.size() - 1 && j == k) {
| ~~^~~~~~~~~~~~~~~~~~~~
aliens.cpp:69:13: warning: 'a' may be used uninitialized in this function [-Wmaybe-uninitialized]
69 | ans += a;
| ~~~~^~~~
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