Created
October 21, 2018 13:34
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#include <cmath> | |
#include <cstdio> | |
#include <vector> | |
#include <iostream> | |
#include <algorithm> | |
using namespace std; | |
typedef long long int lint; | |
int n; | |
vector<int> arr; | |
lint f( lint b) | |
{ | |
lint result =0; | |
for(int i=0;i<n;i++) | |
{ | |
lint x=arr[i]-b; | |
result += abs(x); | |
} | |
return result; | |
} | |
double ternarySearch(lint left, lint right, double eps=0) | |
{ | |
while (right - left > eps) | |
{ | |
//cout<<"test "<<left<<" "<<right<<endl; | |
lint mid1 = left + (right - left) / 3; | |
lint mid2 = right - (right - left) / 3; | |
if(f(mid1) > f(mid2)) left = mid1; | |
else right = mid2; | |
if(right-left==2) | |
{ | |
int min_i=0; | |
for(int i=0;i<3;i++) | |
{ | |
if(f(left+i)<f(left+min_i)) min_i=i; | |
} | |
return left+min_i; | |
} | |
} | |
//cout<<left<<endl; | |
return left; | |
} | |
int main() { | |
cin >> n; | |
for(int i=1;i<n+1;i++) | |
{ | |
int x; | |
cin>>x; | |
arr.push_back(x-i); | |
} | |
//cout<<"deneme: "<<f(0)<<endl; | |
cout<<f(ternarySearch(-1000000000,1000000000)); | |
return 0; | |
} |
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