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>
using namespace std;
#define dbg(x) cerr << #x << ": " << x << endl;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<int> a(n);
int max_value = 0;
for (auto& x : a) {
cin >> x;
max_value = max(max_value, x);
}
auto g = [&](int idx, int value) {
long long res = 0;
for (int i = 0; i < n; ++i) {
res += abs(a[i] - (value - abs(i - idx)));
}
return res;
};
auto f = [&](int i){
int l = max(i + 1, n - i);
int r = 1e9 + 5;
while (l != r - 1) {
int m = (l + r) / 2;
if (g(i, m) > g(i, m + 1)) {
l = m;
} else {
r = m;
}
}
long long curr_min = min(g(i, l), g(i, r));
return curr_min;
};
int l = 0;
int r = n;
while (l != r - 1) {
int m = (l + r) / 2;
if (f(m) > f(m + 1)) {
l = m;
} else {
r = m;
}
}
long long ans = 1e18;
for (int i = max(0, l - 1000); i < min(n, r + 1000); ++i) {
ans = min(ans, f(i));
}
cout << ans << '\n';
return 0;
}
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