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 <stdio.h>
#include <bits/stdc++.h>
using namespace std;
typedef double db;
typedef long long ll;
typedef long double ld;
typedef unsigned int ui;
typedef unsigned long long ull;
typedef pair < db, db > pdd;
typedef pair < db, ld > pdl;
typedef pair < ld, db > pld;
typedef pair < ld, ld > ldp;
typedef pair < ll, ll > pll;
typedef pair < int, ll > pil;
typedef pair < ll, int > pli;
typedef pair < int, int > pii;
#define F first
#define S second
#define en end()
#define bg begin()
#define rev reverse
#define mp make_pair
#define pb push_back
#define y1 y1234567890
#define um unordered_map
#define all(x) x.bg, x.en
#define sz(x) (int)x.size()
#define len(x) (int)strlen(x)
#define sqr(x) ((x + 0ll) * (x))
#define sqrd(x) ((x + 0.0) * (x))
#define forn(i, n) for (int i = 1; i <= n; i++)
const ll inf = (ll)1e18;
const ll mod = (ll)1e9 + 7;
const db eps = (db)1e-9;
const db pi = acos(-1.0);
const int dx[] = {0, 0, 1, 0, -1};
const int dy[] = {0, 1, 0, -1, 0};
const int N = 100500;
const int M = 1000500;
pll line[N];
ll cur[N], dp[N];
int tot, ptr, sz, ar[N], pref[N], pos[N], f[M];
inline db cross(pll l1, pll l2) {
return (l2.S - l1.S + 0.0) / (l1.F - l2.F);
}
inline void add(ll k, ll b) {
while (sz >= 2) {
if (cross(line[sz - 1], line[sz]) < cross(line[sz - 1], {k, b}))
break;
sz--;
}
line[++sz] = {k, b};
ptr = min(ptr, sz);
}
inline ll get(ll x) {
while (ptr < sz && cross(line[ptr], line[ptr + 1]) < x)
ptr++;
return line[ptr].F * x + line[ptr].S;
}
ll take_photos(int n, int m, int lim, vector < int > r, vector < int > c) {
for (int i = 0; i < n; i++) {
int L = min(r[i], c[i]);
int R = max(r[i], c[i]);
L++, R++;
ar[++sz] = L;
ar[++sz] = R;
f[L] = max(f[L], R);
}
sort(ar + 1, ar + 1 + tot);
tot = unique(ar + 1, ar + 1 + tot) - ar - 1;
for (int i = 0; i <= tot; i++)
dp[i] = cur[i] = inf;
dp[0] = 0;
for (int i = 1; i <= tot; i++) {
pref[i] = max(pref[i - 1], f[ar[i]]);
if (pref[i])
pos[i] = lower_bound(ar + 1, ar + 1 + tot, pref[i]) - ar;
}
ll ans = inf;
for (int j = 1; j <= lim; j++) {
int pt = 1;
sz = 0;
ptr = 1;
for (int i = 1; i <= tot; i++) {
while (pt <= i && pos[pt - 1] <= i) {
add(1 - ar[pt], dp[pos[pt - 1]] + sqr(ar[pt] - 1) - sqr(max(0, ar[pos[pt - 1]] - ar[pt] + 1)));
pt++;
}
if (sz)
cur[i] = min(cur[i], get((ar[i] << 1)) + sqr(ar[i]));
}
if (j == 1)
assert(cur[tot] != inf);
for (int i = 0; i <= tot; i++) {
swap(cur[i], dp[i]);
cur[i] = inf;
}
ans = min(ans, dp[tot]);
}
return ans;
}
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