This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Make the best become better
// No room for laziness
#include<bits/stdc++.h>
#define pb push_back
#define fi first
#define se second
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxN = 5e5 + 5;
const int mod = 1e9 + 7;
const ll oo = 1e18;
int n;
int a[maxN];
int f[21][maxN];
int lg[maxN];
int ans[maxN];
void SparseTable()
{
for(int i=1; i<=n; i++)
f[0][i] = a[i];
for(int k=1; k<=lg[n]; k++)
for(int i=1; i<=n; i++)
{
int j = i + (1 << (k - 1));
if(j > n) f[k][i] = f[k - 1][i];
else f[k][i] = max(f[k - 1][i], f[k - 1][j]);
}
}
inline int get(int l, int r)
{
int k = lg[r - l + 1];
return max(f[k][l], f[k][r - (1 << k) + 1]);
}
void ReadInput()
{
cin >> n;
for(int i=1; i<=n; i++)
cin >> a[i];
for(int i=2; i<maxN; i++)
lg[i] = lg[i / 2] + 1;
}
void Solve()
{
SparseTable();
for(int i=1; i<=n; i++)
{
int res = ans[i - 1] + a[i - 1] - a[i] - 1;
int len = (int)sqrt(i - 2) + 1;
while(len >= 1)
{
int r = i - (len - 1) * (len - 1) - 1;
int l = i - len * len;
l = max(1, l);
if(a[i] + res - len >= get(l, i - 1)) break;
res = max(res, get(l, r) + len - a[i]);
len--;
}
len = (int)sqrt(n - i - 1) + 1;
while(len >= 1)
{
int l = i + (len - 1) * (len - 1) + 1;
int r = i + len * len;
r = min(r, n);
if(a[i] + res - len >= get(i + 1, r)) break;
res = max(res, get(l, r) + len - a[i]);
len--;
}
cout << (ans[i] = res) << '\n';
}
}
int32_t main()
{
//freopen("sol.inp", "r", stdin);
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
ReadInput();
Solve();
}
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