#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define MAXN (1000005)
ll N,D;
struct node1 {
ll s,e,m,v;
node1 *l, *r;
node1(ll _s,ll _e){
s = _s;
e = _e;
m = (s + e) / 2;
v = 0;
if(s != e){
l = new node1(s,m);
r = new node1(m + 1,e);
}
}
void update(ll x,ll nval){
if(s == e){
v = nval;
return;
}else{
if(x > m) r -> update(x,nval);
else l -> update(x,nval);
v = max(l -> v,r -> v);
}
}
ll bs(ll x){ //binary serach for leftmost position with v > x
if(s == e){
if(v <= x) return N + 5;
else return s;
}else{
if(l->v > x) return l -> bs(x);
else if(r->v > x) return r -> bs(x);
else return N + 5;
}
}
} *root1;
struct node2 {
ll s,e,m,lazy,v;
node2 *l, *r;
node2(ll _s,ll _e){
s = _s;
e = _e;
m = (s + e) / 2;
lazy = -1;
v = 0;
if(s != e){
l = new node2(s,m);
r = new node2(m + 1,e);
}
}
void propo(){
if(lazy == -1) return;
v = max(v,lazy);
if(s != e){
l->lazy = max(l->lazy,lazy);
r->lazy = max(r->lazy,lazy);
}
lazy = -1;
}
void update(ll x,ll y,ll nval){
propo();
if(s == x && e == y){
lazy = max(lazy,nval);
return;
}else{
if(x > m) r -> update(x,y,nval);
else if(y <= m) l -> update(x,y,nval);
else l -> update(x,m,nval), r -> update(m + 1,y,nval);
l -> propo(), r -> propo();
v = max(l -> v,r -> v);
}
}
ll query(ll x){
propo();
if(s == e){
return v;
}else{
if(x > m) return r -> query(x);
else return l -> query(x);
}
}
} *root2;
int main() {
ios_base::sync_with_stdio(false);cin.tie(0);
cin>>N>>D;
ll mini[N], rightmost[N];
pair<ll,ll> arr[N];
root1 = new node1(0,N + 5);
root2 = new node2(0,N + 5);
for(ll i = 0;i < N;i++){
cin>>arr[i].first;
arr[i].second = -i;
}
multiset<ll> s;
for(ll i = 0;i < N;i++){
s.insert(arr[i].first);
if(i >= D) s.erase(s.find(arr[i - D].first));
mini[i] = *s.begin();
}
for(ll i = N - 1;i >= 0;i--){
if(i + D < N) root1 -> update(i + D,mini[i + D]); //update (i+D)th position with value mini[i+D]
rightmost[i] = root1 -> bs(arr[i].first);
}
sort(arr,arr + N); //increasing A[i], if tie (same A[i]) from right to left
ll dp[N];
ll ans = 0;
for(auto u : arr){ //loop in order of increasing A[i], if tie (same A[i]) from right to left
ll ind = -1 * u.second;
dp[ind] = root2 -> query(ind) + 1;
root2 -> update(ind,rightmost[ind],dp[ind]); //future states can only come from ind if their original position <= rightmost[ind]
ans = max(ans,dp[ind]);
}
cout<<ans<<'\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
456 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
600 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
600 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
456 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
600 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
600 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
600 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
756 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
456 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
600 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
600 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
600 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
756 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
5 ms |
2392 KB |
Output is correct |
42 |
Correct |
7 ms |
2456 KB |
Output is correct |
43 |
Correct |
5 ms |
2392 KB |
Output is correct |
44 |
Correct |
6 ms |
2524 KB |
Output is correct |
45 |
Correct |
6 ms |
2396 KB |
Output is correct |
46 |
Correct |
5 ms |
2652 KB |
Output is correct |
47 |
Correct |
5 ms |
2396 KB |
Output is correct |
48 |
Correct |
6 ms |
2396 KB |
Output is correct |
49 |
Correct |
6 ms |
2396 KB |
Output is correct |
50 |
Correct |
6 ms |
2396 KB |
Output is correct |
51 |
Correct |
5 ms |
2392 KB |
Output is correct |
52 |
Correct |
6 ms |
2392 KB |
Output is correct |
53 |
Correct |
5 ms |
2396 KB |
Output is correct |
54 |
Correct |
6 ms |
2396 KB |
Output is correct |
55 |
Correct |
6 ms |
2396 KB |
Output is correct |
56 |
Correct |
6 ms |
2496 KB |
Output is correct |
57 |
Correct |
6 ms |
2396 KB |
Output is correct |
58 |
Correct |
4 ms |
2648 KB |
Output is correct |
59 |
Correct |
4 ms |
2652 KB |
Output is correct |
60 |
Correct |
5 ms |
2396 KB |
Output is correct |
61 |
Correct |
5 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
232 ms |
89952 KB |
Output is correct |
2 |
Correct |
326 ms |
89684 KB |
Output is correct |
3 |
Correct |
441 ms |
90204 KB |
Output is correct |
4 |
Correct |
480 ms |
90216 KB |
Output is correct |
5 |
Correct |
333 ms |
90176 KB |
Output is correct |
6 |
Correct |
441 ms |
90020 KB |
Output is correct |
7 |
Correct |
208 ms |
89652 KB |
Output is correct |
8 |
Correct |
217 ms |
89936 KB |
Output is correct |
9 |
Correct |
217 ms |
90176 KB |
Output is correct |
10 |
Correct |
226 ms |
90172 KB |
Output is correct |
11 |
Correct |
256 ms |
90196 KB |
Output is correct |
12 |
Correct |
282 ms |
90192 KB |
Output is correct |
13 |
Correct |
261 ms |
90112 KB |
Output is correct |
14 |
Correct |
463 ms |
90176 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
224 ms |
104340 KB |
Output is correct |
2 |
Correct |
538 ms |
104012 KB |
Output is correct |
3 |
Correct |
589 ms |
104272 KB |
Output is correct |
4 |
Correct |
608 ms |
104280 KB |
Output is correct |
5 |
Correct |
465 ms |
104020 KB |
Output is correct |
6 |
Correct |
544 ms |
104172 KB |
Output is correct |
7 |
Correct |
208 ms |
104052 KB |
Output is correct |
8 |
Correct |
215 ms |
103776 KB |
Output is correct |
9 |
Correct |
237 ms |
103116 KB |
Output is correct |
10 |
Correct |
299 ms |
103760 KB |
Output is correct |
11 |
Correct |
465 ms |
104016 KB |
Output is correct |
12 |
Correct |
372 ms |
104020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
456 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
600 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
600 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
600 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
756 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
5 ms |
2392 KB |
Output is correct |
42 |
Correct |
7 ms |
2456 KB |
Output is correct |
43 |
Correct |
5 ms |
2392 KB |
Output is correct |
44 |
Correct |
6 ms |
2524 KB |
Output is correct |
45 |
Correct |
6 ms |
2396 KB |
Output is correct |
46 |
Correct |
5 ms |
2652 KB |
Output is correct |
47 |
Correct |
5 ms |
2396 KB |
Output is correct |
48 |
Correct |
6 ms |
2396 KB |
Output is correct |
49 |
Correct |
6 ms |
2396 KB |
Output is correct |
50 |
Correct |
6 ms |
2396 KB |
Output is correct |
51 |
Correct |
5 ms |
2392 KB |
Output is correct |
52 |
Correct |
6 ms |
2392 KB |
Output is correct |
53 |
Correct |
5 ms |
2396 KB |
Output is correct |
54 |
Correct |
6 ms |
2396 KB |
Output is correct |
55 |
Correct |
6 ms |
2396 KB |
Output is correct |
56 |
Correct |
6 ms |
2496 KB |
Output is correct |
57 |
Correct |
6 ms |
2396 KB |
Output is correct |
58 |
Correct |
4 ms |
2648 KB |
Output is correct |
59 |
Correct |
4 ms |
2652 KB |
Output is correct |
60 |
Correct |
5 ms |
2396 KB |
Output is correct |
61 |
Correct |
5 ms |
2396 KB |
Output is correct |
62 |
Correct |
232 ms |
89952 KB |
Output is correct |
63 |
Correct |
326 ms |
89684 KB |
Output is correct |
64 |
Correct |
441 ms |
90204 KB |
Output is correct |
65 |
Correct |
480 ms |
90216 KB |
Output is correct |
66 |
Correct |
333 ms |
90176 KB |
Output is correct |
67 |
Correct |
441 ms |
90020 KB |
Output is correct |
68 |
Correct |
208 ms |
89652 KB |
Output is correct |
69 |
Correct |
217 ms |
89936 KB |
Output is correct |
70 |
Correct |
217 ms |
90176 KB |
Output is correct |
71 |
Correct |
226 ms |
90172 KB |
Output is correct |
72 |
Correct |
256 ms |
90196 KB |
Output is correct |
73 |
Correct |
282 ms |
90192 KB |
Output is correct |
74 |
Correct |
261 ms |
90112 KB |
Output is correct |
75 |
Correct |
463 ms |
90176 KB |
Output is correct |
76 |
Correct |
224 ms |
104340 KB |
Output is correct |
77 |
Correct |
538 ms |
104012 KB |
Output is correct |
78 |
Correct |
589 ms |
104272 KB |
Output is correct |
79 |
Correct |
608 ms |
104280 KB |
Output is correct |
80 |
Correct |
465 ms |
104020 KB |
Output is correct |
81 |
Correct |
544 ms |
104172 KB |
Output is correct |
82 |
Correct |
208 ms |
104052 KB |
Output is correct |
83 |
Correct |
215 ms |
103776 KB |
Output is correct |
84 |
Correct |
237 ms |
103116 KB |
Output is correct |
85 |
Correct |
299 ms |
103760 KB |
Output is correct |
86 |
Correct |
465 ms |
104016 KB |
Output is correct |
87 |
Correct |
372 ms |
104020 KB |
Output is correct |
88 |
Correct |
491 ms |
90216 KB |
Output is correct |
89 |
Correct |
510 ms |
90172 KB |
Output is correct |
90 |
Correct |
579 ms |
90216 KB |
Output is correct |
91 |
Correct |
593 ms |
90220 KB |
Output is correct |
92 |
Correct |
494 ms |
90256 KB |
Output is correct |
93 |
Correct |
581 ms |
90860 KB |
Output is correct |
94 |
Correct |
603 ms |
100112 KB |
Output is correct |
95 |
Correct |
446 ms |
90220 KB |
Output is correct |
96 |
Correct |
510 ms |
90200 KB |
Output is correct |
97 |
Correct |
655 ms |
90220 KB |
Output is correct |
98 |
Correct |
574 ms |
90216 KB |
Output is correct |
99 |
Correct |
569 ms |
90248 KB |
Output is correct |
100 |
Correct |
587 ms |
90244 KB |
Output is correct |
101 |
Correct |
226 ms |
90196 KB |
Output is correct |
102 |
Correct |
275 ms |
90216 KB |
Output is correct |
103 |
Correct |
307 ms |
90192 KB |
Output is correct |
104 |
Correct |
346 ms |
90308 KB |
Output is correct |
105 |
Correct |
410 ms |
91160 KB |
Output is correct |
106 |
Correct |
274 ms |
90120 KB |
Output is correct |
107 |
Correct |
302 ms |
90412 KB |
Output is correct |
108 |
Correct |
509 ms |
90508 KB |
Output is correct |
109 |
Correct |
280 ms |
90436 KB |
Output is correct |
110 |
Correct |
443 ms |
90216 KB |
Output is correct |
111 |
Correct |
497 ms |
90456 KB |
Output is correct |
112 |
Correct |
286 ms |
90448 KB |
Output is correct |
113 |
Correct |
496 ms |
90452 KB |
Output is correct |
114 |
Correct |
479 ms |
90460 KB |
Output is correct |
115 |
Correct |
233 ms |
104272 KB |
Output is correct |
116 |
Correct |
235 ms |
104304 KB |
Output is correct |
117 |
Correct |
307 ms |
97268 KB |
Output is correct |
118 |
Correct |
270 ms |
97104 KB |
Output is correct |
119 |
Correct |
313 ms |
90296 KB |
Output is correct |
120 |
Correct |
300 ms |
90072 KB |
Output is correct |