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 <iostream>
#include <fstream>
#include <algorithm>
#include <cstring>
#include <climits>
#include <cassert>
#include <tuple>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <string>
#include <unordered_set>
#include <unordered_map>
#include <numeric>
using namespace std;
typedef long long LL;
typedef vector<int> Vi;
typedef vector<LL> VL;
typedef vector<bool> Vb;
typedef vector<vector<int>> Vii;
#define forR(i, n) for (int i = 0; i < (n); i++)
template <typename T>
vector<size_t> sort_indexes(vector<T> v) {
vector<size_t> idx(v.size());
iota(idx.begin(), idx.end(), 0);
stable_sort(idx.begin(), idx.end(),
[&v](size_t i1, size_t i2) {return v[i1] < v[i2]; });
return idx;
}
int see[2003][2003];
bool used[2003];
struct Frac { // a / b
int a, b;
};
bool ge(Frac x, Frac y) {
return (LL)x.a * y.b >= (LL)y.a * x.b;
}
int maximum_deevs(Vi y) {
int n = y.size();
memset(see, 0, sizeof(see));
memset(used, 0, sizeof(used));
forR(i, n) {
Frac view{ INT_MIN, 1 };
for (int j = i - 1; j >= 0; j--) {
Frac vj{ y[j] - y[i], i - j };
if (ge(vj, view)) {
view = vj;
see[i][j] = 1;
}
}
view = { INT_MIN, 1 };
for (int j = i + 1; j < n; j++) {
Frac vj{ y[j] - y[i], j - i };
if (ge(vj, view)) {
view = vj;
see[i][j] = 1;
}
}
}
int ans = 0;
auto idx = sort_indexes(y);
for (int i : idx) {
if (!used[i]) {
ans++;
used[i] = true;
forR(j, n) {
if (see[i][j]) {
used[j] = true;
}
}
}
}
return ans;
}
#ifdef TEST_LOCAL
int main() {
auto r = maximum_deevs(Vi{ 661753254,519752353,924243061,108157689,923264799,934218192,182202589,544583089,786735601,912296854,38283702,991828767,951135950,771531502,348196150,713230595,375509385,596923115,947954901 });
return 0;
}
#endif
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