# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
390506 | ponytail | Aliens (IOI16_aliens) | C++17 | 0 ms | 0 KiB |
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 "bits/stdc++.h"
#define int long long
#define fi first
#define se second
#define pb push_back
using namespace std;
const int BIG = 1e18;
const int is_query = -BIG;
struct line {
int m, b;
mutable function<const line*()> succ;
bool operator<(const line& rhs) const {
if (rhs.b != is_query) return m < rhs.m;
const line* s = succ();
if (!s) return 0;
int x = rhs.m;
return b - s->b < (s->m - m) * x;
}
};
struct dynamic_hull : public multiset<line> {
const int inf = BIG;
bool bad(iterator y) {
auto z = next(y);
if (y == begin()) {
if (z == end()) return 0;
return y->m == z->m && y->b <= z->b;
}
auto x = prev(y);
if (z == end()) return y->m == x->m && y->b <= x->b;
int v1 = (x->b - y->b);
if (y->m == x->m) v1 = x->b > y->b ? inf : -inf;
else v1 /= (y->m - x->m);
int v2 = (y->b - z->b);
if (z->m == y->m) v2 = y->b > z->b ? inf : -inf;
else v2 /= (z->m - y->m);
return v1 >= v2;
}
void insert_line(int m, int b) {
auto y = insert({m,b});
y->succ = [=] { return next(y) == end() ? 0 : &*next(y); };
if (bad(y)) { erase(y); return; }
while (next(y) != end() && bad(next(y))) erase(next(y));
while (y != begin() && bad(prev(y))) erase(prev(y));
}
int eval(int x) {
auto l = *lower_bound((line) { x, is_query });
return l.m * x + l.b;
}
};
int N,M,K;
int take_photos(signed N, signed M,signed K,vector<signed>r, vector<signed>c){
sort(r.begin(), r.end());
int dp[K+1][N];
for(int i=0;i<N;i++){
dp[1][i]=(r[i]-r[0]+1)*(r[i]-r[0]+1);
}
for(int i=2;i<=K;i++){
for(int j=i-1;j<N;j++){
dp[i][j]=1e14;
for(int k=i-2;k<j;k++){
dp[i][j]=min(dp[i][j],dp[i-1][k]+(r[j]-r[k+1]+1)*(r[j]-r[k+1]+1));
}
}
}
int ans=1e18;
for(int i=1;i<=K;i++) ans=min(ans, dp[i][N-1]);
return ans;
}
int32_t main(){
cin >> N >> M >> K;
vector<signed> r, c;
for(int i=0;i<N;i++){
int wow, no;
cin >> wow >> no;
r.pb(wow);
c.pb(no);
}
cout << take_photos(N, M, K, r, c) << "\n";
}