#include<bits/stdc++.h>
using namespace std;
//#include<ext/pb_ds/assoc_container.hpp>
//#include<ext/pb_ds/tree_policy.hpp>
//
// #pragma GCC optimize("unroll-loops")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("-O3")
// #pragma GCC optimize("no-stack-protector")
// #pragma GCC optimize("fast-math")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx")
//#define LOCAL
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifndef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
#define fi first
#define f first
#define se second
#define s second
#define vi_a vector<int>a;
#define p_b push_back
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ll long long
typedef unsigned long long ull;
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ld long double
#define pll pair<ll,ll>
#define pii pair<int,int>
#define m_p make_pair
#define fast_io cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);
#define all(x) x.begin(),x.end()
#define getfiles ifstream cin("input.txt");ofstream cout("output.txt");
#define pw(x) (1ll << x)
#define sz(x) (int)x.size()
#define endl "\n"
#define rall(x) x.rbegin(),x.rend()
#define len(a) (ll)a.size()
#define rep(x,l,r) for(ll x=l;x<r;x++)
//using namespace __gnu_pbds;
ld eps = (ld)1 / 1e6;
const ld pi=3.14159265359;
ll inf = 2e9,mod1=1e9+7;
ll sqr(ll a) { return a * a; }
ll qb(ll a) { return a * a * a; }
void umin(ll &a,ll b){a=min(a,b);}
void umax(ll &a,ll b){a=max(a,b);}
bool is_prime(ll val){for(ll i=2;i<=sqrt(val);i++)if(val%i==0)return 0; return 1;}
ll gcd(ll a, ll b) { return !a ? b : gcd(b % a, a); }
ll binpow(ll a, ll b, ll mod) { return b ? (b % 2 ? (a * (sqr(binpow(a, b / 2, mod)) % mod)) % mod : sqr(binpow(a, b / 2, mod)) % mod) : 1; }ll binmult(ll a, ll b, ll mod) { return b ? (b % 2 ? (2 * binmult(a, b / 2, mod) + a) % mod : (2 * binmult(a, b / 2, mod)) % mod) : 0; }
/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
const ll R=1e4;
const ll tx[4]={0,0,-1,1};
const ll ty[4]={-1,1,0,0};
const char rev_to[4]={'E','W','N','S'};
const int M=999999937;
const int N=2e5+1;
const int ppp=73;
const int Y=1;
const int X=0;
//typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> st;
auto rnd=bind(uniform_int_distribution<ll>(1,125),mt19937(time(0)));
void bad(){
cout<<"NE";
exit(0);
}
#define int long long
vector<int>l,r;
ll f[2][N],s[2][N];
int lkl=0,rkl=0;
ll sl=0,sr=0;
void addlkl(int pos,int val){lkl+=val;while(pos<N){f[0][pos]+=val;pos+=pos&-pos;}}
void addlval(int pos,int val){sl+=val;while(pos<N){f[1][pos]+=val;pos+=pos&-pos;}}
void addrkl(int pos,int val){rkl+=val;while(pos<N){s[0][pos]+=val;pos+=pos&-pos;}}
void addrval(int pos,int val){sr+=val;while(pos<N){s[1][pos]+=val;pos+=pos&-pos;}}
ll getlkl(int pos){ll a=0;while(pos>0){a+=f[0][pos];pos-=pos&-pos;} return a;}
ll getlval(int pos){ll a=0;while(pos>0){a+=f[1][pos];pos-=pos&-pos;} return a;}
ll getrkl(int pos){ll a=0;while(pos>0){a+=s[0][pos];pos-=pos&-pos;} return a;}
ll getrval(int pos){ll a=0;while(pos>0){a+=s[1][pos];pos-=pos&-pos;} return a;}
int psl(ll val){return upper_bound(all(l),val)-l.begin();}
int psr(ll val){return upper_bound(all(r),val)-r.begin();}
ll fl(ll val){
int pos=psl(val);
ll col=getlkl(pos);
ll vl=getlval(pos);
ll a=0;
a+=col*val-vl;
a+=(sl-vl)-(lkl-col)*1ll*val;
return a;
}
ll fr(ll val){
int pos=psr(val);
ll col=getrkl(pos);
ll vl=getrval(pos);
ll a=0;
a+=col*val-vl;
a+=(sr-vl)-(rkl-col)*1ll*val;
return a;
}
signed main()
{
fast_io;
// freopen("in.txt")
int n;
cin>>n;
vector<int>a(n);
for(auto &z : a){
cin>>z;
}
for(int i=0;i<n;i++){
l.p_b(a[i]-i);
r.p_b(a[i]+i);
}
sort(all(l));l.erase(unique(all(l)),l.end());
sort(all(r));r.erase(unique(all(r)),r.end());
for(int i=0;i<n;i++){
int pr=psr(a[i]+i);
addrkl(pr,1);addrval(pr,a[i]+i);
}
ll ans=2e18;
for(int i=0;i<n;i++){
int pl=psl(a[i]-i),pr=psr(a[i]+i);
///delright
addrkl(pr,-1);addrval(pr,-(a[i]+i));
///addleft
addlkl(pl,1);addlval(pl,(a[i]-i));
int l=max(i+1,n-i),r=2e9+2;
while(r-l>=3){
ll m1 = r-(r-l)/3, m2 = l+(r-l)/3;
ll f1 = fl(m1 - i) + fr(m1 + i);
ll f2 = fl(m2 - i) + fr(m2 + i);
if (f1 >= f2) r = m1;
else l = m2;
}
for(int j=l;j<=r;j++){
umin(ans,fl(j-i)+fr(j+i));
// debug()<<imie(j)<<imie()
}
}
cout<<ans;
return 0;
}
/*
hj = hi- |i - j|.
i>j
hj=hi-i+j
hj-j=hi-i
i<j
hj=hi-(j-i)
hj=hi-j+i
hj+j=hi+i
*/
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
8 ms |
512 KB |
Output is correct |
| 2 |
Correct |
8 ms |
512 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
7 ms |
512 KB |
Output is correct |
| 2 |
Correct |
8 ms |
512 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
13 ms |
640 KB |
Output is correct |
| 2 |
Correct |
13 ms |
640 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
13 ms |
640 KB |
Output is correct |
| 2 |
Correct |
18 ms |
768 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
25 ms |
692 KB |
Output is correct |
| 2 |
Correct |
19 ms |
640 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
40 ms |
804 KB |
Output is correct |
| 2 |
Correct |
48 ms |
768 KB |
Output is correct |
| 3 |
Correct |
22 ms |
896 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
316 ms |
2052 KB |
Output is correct |
| 2 |
Correct |
244 ms |
1660 KB |
Output is correct |
| 3 |
Correct |
276 ms |
2036 KB |
Output is correct |
| 4 |
Correct |
356 ms |
2292 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
453 ms |
2684 KB |
Output is correct |
| 2 |
Correct |
535 ms |
2932 KB |
Output is correct |
| 3 |
Correct |
329 ms |
2796 KB |
Output is correct |
| 4 |
Correct |
366 ms |
2792 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
873 ms |
3312 KB |
Output is correct |
| 2 |
Correct |
686 ms |
4776 KB |
Output is correct |
| 3 |
Correct |
416 ms |
2540 KB |
Output is correct |
| 4 |
Correct |
916 ms |
4452 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1016 ms |
6116 KB |
Output is correct |
| 2 |
Correct |
1034 ms |
5992 KB |
Output is correct |
| 3 |
Correct |
914 ms |
4600 KB |
Output is correct |
| 4 |
Correct |
1203 ms |
5636 KB |
Output is correct |
| 5 |
Correct |
242 ms |
2120 KB |
Output is correct |
