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 fi first
#define se second
#define ll long long
using namespace std ;
const ll N = (1 << 19) ;
ll n, d, cnt, a[N + 1], dp[N + 1], mx[2 * N + 1] ;
set<ll> s ;
map<ll, ll> mp ;
void update(ll l, ll r, ll ind, ll num, ll v)
{
if(l > ind || r < ind)
return ;
if(l == r)
{
mx[v] = num ;
return ;
}
ll mid = (l + r) >> 1 ;
update(l, mid, ind, num, v * 2) ;
update(mid + 1, r, ind, num, v * 2 + 1) ;
mx[v] = max(mx[v * 2], mx[v * 2 + 1]) ;
}
ll get_max(ll l, ll r,ll l1, ll r1, ll v)
{
if(l > r1 || r < l1)
return 0 ;
if(l1 <= l && r <= r1)
return mx[v] ;
ll mid = (l + r) >> 1 ;
return max(get_max(l, mid, l1, r1, v * 2), get_max(mid + 1, r, l1, r1, v * 2 + 1)) ;
}
signed main()
{
ios_base::sync_with_stdio( 0 ) ;
cin.tie( 0 ) ;
cout.tie( 0 ) ;
cin >> n >> d ;
for(ll i = 1 ; i <= n ; i++)
{
cin >> a[i] ;
s.insert(a[i]) ;
}
for(ll i : s)
{
cnt++ ;
mp[i] = cnt ;
}
for(ll i = 1 ; i <= n ; i++)
a[i] = mp[a[i]] ;
if(n <= 7000)
{
ll ans = 0 ;
for(ll i = n ; i >= 1 ; i--)
{
ll mx = 0, ls = i, now = a[i] ;
pair<ll, ll> mn = {1e9, 1e9} ;
for(ll j = i + 1 ; j <= n ; j++)
{
if((j - ls) == d + 1)
{
ls = mn.se ;
now = max(now, mn.fi) ;
mn = {1e9, 1e9} ;
}
mn = min(mn, {a[j], j}) ;
if(a[j] > now)
mx = max(mx, dp[j]) ;
}
dp[i] = mx + 1 ;
ans = max(ans, dp[i]) ;
}
cout << ans ;
return 0 ;
}
if(n <= 20)
{
ll ans = 0 ;
for(ll i = 0 ; i < (1 << n) ; i++)
{
ll now = 0, mx = -1, ls = 1e9 ;
for(ll j = 0 ; j < n ; j++)
if(j - ls <= d && ((1 << j) & i))
{
ls = j ;
if(mx < a[j + 1])
now++ ;
mx = max(mx, a[j + 1]) ;
}
ans = max(ans, now) ;
}
cout << ans ;
return 0 ;
}
if(d == 1)
{
ll ans = 0 ;
for(ll i = 1 ; i <= n ; i++)
update(1, N, i, a[i], 1) ;
for(ll i = n ; i >= 1 ; i--)
{
ll l = i, r = n + 1 ;
while(l + 1 < r)
{
ll mid = (l + r) >> 1 ;
if(get_max(1, N, i, mid, 1) > a[i])
r = mid ;
else
l = mid ;
}
dp[i] = dp[r] + 1 ;
ans = max(ans, dp[i]) ;
}
cout << ans ;
return 0 ;
}
if(d == n)
{
ll ans = 0 ;
for(ll i = 1 ; i <= n ; i++)
{
ll num = get_max(1, N, 1, a[i] - 1, 1) ;
ans = max(ans, num + 1) ;
update(1, N, a[i], num + 1, 1) ;
}
cout << ans ;
return 0 ;
}
return 0 ;
}
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