This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
* Author : Nguyen Tuan Vu
* Created : 20.02.2022
**/
#pragma GCC optimize("O2")
#pragma GCC target("avx,avx2,fma")
#include<bits/stdc++.h>
#define fx(i,j,n) for(int i=(j);i<=(n);i++)
#define fn(i,j,n) for(int i=(j);i>=(n);i--)
#define fi first
#define se second
#define MASK(i) (1LL<<(i))
#define BIT(x,i) (((x)>>(i))&1)
#define ALL(v) (v).begin(), (v).end()
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair <int, int> ii;
typedef pair <ll, ll> li;
typedef tuple <int, int, int> tup;
template <class X, class Y> bool minimize(X &a, Y b) {
if (a > b) return a = b, true;
return false;
}
template <class X, class Y> bool maximize(X &a, Y b) {
if (a < b) return a = b, true;
return false;
}
void file(){
#define TASK "TASK"
freopen(TASK".inp","r",stdin);
freopen(TASK".out","w",stdout);
}
const int Mod = 1e9 + 7;
const int N = 3e5 + 5;
const int INF = 1e9 + 7;
const ll INFLL = 1e18 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
ll Rand(ll l, ll r) {return l + rng() % (r - l + 1);}
int n, d, a[N], dp[7005][7005];
void sub2() {
a[0] = -1;
fx (i, 0, n - 1) fx (j, 0, i) fx (k, 1, min(d, n - i)) {
int new_k = (a[i + k] >= a[j] ? i + k : j);
maximize(dp[i + k][new_k], dp[i][j] + (a[i + k] > a[j]));
}
int ans = 0;
fx (i, 0, n) maximize(ans, dp[n][i]);
cout << ans;
}
struct Fenwick_Tree{
vector <int> bit;
Fenwick_Tree(int _n = 0) {
n = _n;
bit.resize(n + 7, 0);
}
void update(int x, int val) {
for (; x <= n; x += x&-x) maximize(bit[x], val);
}
int get(int x) {
int ans = 0;
for (; x; x -= x&-x) maximize(ans, bit[x]);
return ans;
}
} mybit;
void sub5() {
mybit = Fenwick_Tree(n);
vector <int> ctz;
fx (i, 1, n) ctz.push_back(a[i]);
sort (ALL(ctz)); ctz.erase(unique(ALL(ctz)), ctz.end());
int ans = 0;
fx (i, 1, n) {
a[i] = lower_bound(ALL(ctz), a[i]) - ctz.begin() + 1;
int x = mybit.get(a[i] - 1) + 1;
mybit.update(a[i], x);
maximize(ans, x);
}
cout << ans;
}
void sub4() {
multiset <int> s;
int ans = 0;
fn (i, n, 1) {
stack <int> tmp;
if (s.size())
for (auto it = s.begin(); it != s.end(); ++it)
if (*it <= a[i]) tmp.push(*it);
else break;
while (tmp.size()) {
int u = tmp.top();
tmp.pop();
s.erase(s.lower_bound(u));
}
s.insert(a[i]);
maximize(ans, s.size());
}
cout << ans;
}
int f[7005];
void sub3() {
fn (i, n, 1) {
int lim = min(i + d, n);
f[i] = 1;
fx (j, i + 1, lim)
if (a[i] >= a[j]) lim = min(j + d, n);
else maximize(f[i], f[j] + 1);
}
cout << *max_element(f + 1, f + n + 1);
}
void solve()
{
cin >> n >> d;
fx (i, 1, n) cin >> a[i];
if (d == n) sub5();
else if (d == 1) sub4();
else if (n <= 400) sub2();
else sub3();
}
int main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
// file();
int T = 1;
//cin>>T;
while(T--)
{
solve();
}
return 0;
}
/*** DEBUG, DON'T LAZY AND DON'T ASK OTHERS MUCH ***/
/*
|----------------|
| TRY HARD |
|----------------|
(\_/) ||
(=.-.=) ||
/> o \>||
\ o / ||
\/ \/ ||
*/
Compilation message (stderr)
Main.cpp: In function 'void sub4()':
Main.cpp:100:6: warning: suggest explicit braces to avoid ambiguous 'else' [-Wdangling-else]
100 | if (s.size())
| ^
Main.cpp: In instantiation of 'bool maximize(X&, Y) [with X = int; Y = long unsigned int]':
Main.cpp:110:25: required from here
Main.cpp:29:11: warning: comparison of integer expressions of different signedness: 'int' and 'long unsigned int' [-Wsign-compare]
29 | if (a < b) return a = b, true;
| ~~^~~
Main.cpp: In function 'void file()':
Main.cpp:35:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
35 | freopen(TASK".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
Main.cpp:36:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
36 | freopen(TASK".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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