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 lg long long
#define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
const lg N = 5e5+5;
lg n, d, tim;
lg dp[2][N], p[N];
lg t[N], lst[N];
vector<lg> o;
lg C(lg i, lg j)
{
lg ans = (j-i+1)-(n-j-(o.size()-(lower_bound(o.begin(), o.end(), j+1)-o.begin())));
return ans;
}
//b = exclude suffix j
//c = size of suffix j
//j-i+1-(c-b)
void compute(lg lev, lg l, lg r, lg optl, lg optr)
{
if(l > r) return;
lg mid = (l+r)/2;
array<lg, 2> best = {1000000000000, optl};
for(int i = optl; i <= min(optr, mid-1); i++)
{
best = min(best, {dp[(lev+1)&1][i]+C(i+1, mid), i});
}
dp[lev&1][mid] = best[0];
compute(lev, l, mid-1, optl, best[1]);
compute(lev, mid+1, r, best[1], optr);
return;
}
int main()
{
fastio;
cin >> n >> d >> tim;
for(int i = 1; i <= n; i++)
{
cin >> t[i];
}
for(int i = 1; i <= n; i++)
{
for(int j = i; j >= 1; j--)
{
if(t[j]+i-j <= tim)
{
lst[i] = j;
break;
}
}
o.push_back(lst[i]);
}
sort(o.begin(), o.end());
// for(int i = 1; i <= n; i++)
// {
// for(int j = 1; j <= n; j++)
// {
// if( j < i) cout << "0 ";
// else cout << C(i, j) << ' ';
// }
// cout << '\n';
// }
d = min(n, d);
t[0] = 1e18;
memset(dp, 0x3f, sizeof(dp));
dp[d&1][0] = 0;
for(int i = 1; i <= n; i++) dp[d&1][i] = C(1, i);
for(int i = d-1; i >= 0; i--)
{
for(int j = 1; j <= n; j++) dp[i&1][j] = 1e15;
compute(i, 1, n, 1, n);
}
cout << dp[0][n] << '\n';
}
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