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;
int ceil_sqrt(int n){
int x = sqrt(n);
while(x * x < n) ++x;
return x;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
int n; cin >> n;
vector<int> h(n);
vector<vector<int>> st;
st.push_back(vector<int>(n));
for(int i = 0; i < n; ++i){
cin >> h[i];
st[0][i] = h[i];
}
for(int i = 1; (1 << i) <= n; ++i){
st.push_back(vector<int>(n - (1 << i) + 1));
for(int j = 0; j + (1 << i) <= n; ++j){
st[i][j] = max(st[i - 1][j], st[i - 1][j + (1 << (i - 1))]);
}
}
auto max_range = [&](int l, int r){
int b = 31 - __builtin_clz(r - l + 1);
return max(st[b][l], st[b][r - (1 << b) + 1]);
};
vector<int> p(n);
for(int i = 0; i < n; ++i){
if(i != 0){
int B = ceil_sqrt(i);
for(int k = 1; k <= B; ++k){
p[i] = max(p[i], max_range(max(0, i - k * k), i - (k - 1) * (k - 1) - 1) + k - h[i]);
}
}
if(i != n - 1){
int B = ceil_sqrt(n - 1 - i);
for(int k = 1; k <= B; ++k){
p[i] = max(p[i], max_range(i + (k - 1) * (k - 1) + 1, min(n - 1, i + k * k)) + k - h[i]);
}
}
}
for(int i = 0; i < n; ++i){
cout << p[i] << '\n';
}
return 0;
}
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