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>
#define pb push_back
#define F first
#define S second
#define mk make_pair
#define mt make_tuple
using namespace std;
const int Max = 2e6 + 10 , INF = 1e9 + 10;
int n , t;
int A[Max];
long double dp[Max]; int last[Max] , cnt[Max];
void CALC(long double tst)
{
/*
last[0] = INF;
for(int i = 1 ; i <= n ; i++)
{
dp[i] = dp[i - 1] + tst + int(A[i] <= t);
cnt[i] = cnt[i - 1] + 1;
last[i] = A[i];
if(dp[i] >= dp[i - 1] + int(min(last[i - 1] + 1 , A[i]) <= t))
{
dp[i] = dp[i - 1] + int(min(last[i - 1] + 1 , A[i]) <= t);
cnt[i] = cnt[i - 1];
last[i] = min(last[i - 1] + 1 , A[i]);
}
}
*/
cnt[0] = -1 , dp[0] = -tst;
for(int i = 1 ; i <= n ; i++) dp[i] = 1e18;
for(int i = 0 ; i < n ; i++)
{
int lst = INF;
int ct = 0;
for(int j = i + 1 ; j <= n ; j++)
{
lst = min(lst + 1 , A[j]);
ct += lst <= t;
if(mk(dp[j] , cnt[j]) > mk(dp[i] + tst + ct , cnt[i] + 1))
{
dp[j] = dp[i] + tst + ct;
cnt[j] = cnt[i] + 1;
}
}
}
}
int main()
{
ios::sync_with_stdio(0) , cin.tie(0) , cout.tie(0);
int d; cin >> n >> d >> t;
for(int i = 1 ; i <= n ; i++) cin >> A[i];
long double l = 1e9 , r = -1e9;
for(int lg = 0 ; lg < 100 ; lg++)
{
long double md = (l + r) / 2;
CALC(md);
if(cnt[n] > d) r = md;
else l = md;
}
CALC(l);
cout << (dp[n] - l * cnt[n]);
}
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