#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = (1 << 19);
const int INF = 1e9;
int n, d;
int a[N];
vector<int> mx(2 * N, -INF);
void update(int pos, int val) {
for(mx[pos += N] = val; pos > 1; pos >>= 1) {
mx[pos >> 1] = max(mx[pos], mx[(pos ^ 1)]);
}
}
// last index i < qr a[i] > val
int left_bound(int qr, int val, int l = 0, int r = N - 1, int v = 1) {
if(l >= qr || mx[v] <= val)
return -1;
if(l == r)
return l;
int m = (l + r) / 2;
int res = left_bound(qr, val, m + 1, r, 2 * v + 1);
if(res == -1) res = left_bound(qr, val, l, m, 2 * v);
return res;
}
// first index i > ql a[i] > val
int right_bound(int ql, int val, int l = 0, int r = N - 1, int v = 1) {
if(r <= ql || mx[v] <= val)
return -1;
if(l == r)
return l;
int m = (l + r) / 2;
int res = right_bound(ql, val, l, m, 2 * v);
if(res == -1) res = right_bound(ql, val, m + 1, r, 2 * v + 1);
return res;
}
void add(int pos) {
// cout << "add: \n";
int lb = left_bound(pos, -INF), rb = right_bound(pos, -INF);
// cout << pos << ' ' << lb << ' ' << rb << '\n';
if(rb != -1) update(rb, rb - pos);
update(pos, (lb != -1 ? pos - lb : 0));
}
int get_rb(int pos) {
int x = right_bound(pos, d);
if(x == -1) x = n + 1;
return min(left_bound(x, -INF) + d, n);
}
int st[2 * N];
void insert(int pos, int val, int i) {
for(st[pos += N] = val; pos > 1; pos >>= 1) {
st[pos >> 1] = max(st[pos], st[(pos ^ 1)]);
}
}
void erase(int pos, int val, int i) {
for(st[pos += N] = 0; pos > 1; pos >>= 1) {
st[pos >> 1] = max(st[pos], st[(pos ^ 1)]);
}
}
int get(int ql, int qr) {
int res = 0;
for(ql += N, qr += N + 1; ql < qr; ql >>= 1, qr >>= 1) {
if(ql & 1) {
res = max(res, st[ql]);
ql++;
}
if(qr & 1) {
qr--;
res = max(res, st[qr]);
}
}
return res;
}
vector<int> cl[N];
void compress() {
map<int, int> mp;
for(int i = 1; i <= n; i++)
mp[a[i]] = 1;
int k = 0;
for(auto &c : mp)
c.second = k++;
for(int i = 1; i <= n; i++)
a[i] = mp[a[i]];
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
cin >> n >> d;
for(int i = 1; i <= n; i++)
cin >> a[i];
compress();
vector<pair<int, int>> order;
for(int i = 1; i <= n; i++) {
order.push_back({a[i], i});
}
int rb[n + 1] = {}, b[n + 1];
sort(order.begin(), order.end(), [](pair<int, int> x, pair<int, int> y) {
if(x.first == y.first) return x.second > y.second;
return x.first < y.first;
});
int ki = 0;
for(auto [a, i] : order) {
add(i);
rb[i] = get_rb(i);
b[i] = ki++;
}
vector<int> dp(n + 1, 1);
for(int i = 1; i <= n; i++) {
for(int j : cl[i])
erase(b[j], dp[j], j);
dp[i] = get(0, b[i] - 1) + 1;
insert(b[i], dp[i], i);
cl[rb[i] + 1].push_back(i);
}
cout << *max_element(dp.begin(), dp.end());
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
16728 KB |
Output is correct |
2 |
Correct |
8 ms |
16724 KB |
Output is correct |
3 |
Correct |
8 ms |
16724 KB |
Output is correct |
4 |
Correct |
8 ms |
16724 KB |
Output is correct |
5 |
Correct |
8 ms |
16724 KB |
Output is correct |
6 |
Correct |
8 ms |
16724 KB |
Output is correct |
7 |
Correct |
8 ms |
16720 KB |
Output is correct |
8 |
Correct |
8 ms |
16724 KB |
Output is correct |
9 |
Correct |
8 ms |
16724 KB |
Output is correct |
10 |
Correct |
10 ms |
16684 KB |
Output is correct |
11 |
Correct |
8 ms |
16724 KB |
Output is correct |
12 |
Correct |
8 ms |
16756 KB |
Output is correct |
13 |
Correct |
11 ms |
16724 KB |
Output is correct |
14 |
Correct |
9 ms |
16724 KB |
Output is correct |
15 |
Correct |
8 ms |
16736 KB |
Output is correct |
16 |
Correct |
8 ms |
16680 KB |
Output is correct |
17 |
Correct |
8 ms |
16724 KB |
Output is correct |
18 |
Correct |
8 ms |
16724 KB |
Output is correct |
19 |
Correct |
8 ms |
16724 KB |
Output is correct |
20 |
Correct |
8 ms |
16740 KB |
Output is correct |
21 |
Correct |
9 ms |
16724 KB |
Output is correct |
22 |
Correct |
8 ms |
16724 KB |
Output is correct |
23 |
Correct |
9 ms |
16724 KB |
Output is correct |
24 |
Correct |
8 ms |
16748 KB |
Output is correct |
25 |
Correct |
8 ms |
16724 KB |
Output is correct |
26 |
Correct |
9 ms |
16724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
16728 KB |
Output is correct |
2 |
Correct |
8 ms |
16724 KB |
Output is correct |
3 |
Correct |
8 ms |
16724 KB |
Output is correct |
4 |
Correct |
8 ms |
16724 KB |
Output is correct |
5 |
Correct |
8 ms |
16724 KB |
Output is correct |
6 |
Correct |
8 ms |
16724 KB |
Output is correct |
7 |
Correct |
8 ms |
16720 KB |
Output is correct |
8 |
Correct |
8 ms |
16724 KB |
Output is correct |
9 |
Correct |
8 ms |
16724 KB |
Output is correct |
10 |
Correct |
10 ms |
16684 KB |
Output is correct |
11 |
Correct |
8 ms |
16724 KB |
Output is correct |
12 |
Correct |
8 ms |
16756 KB |
Output is correct |
13 |
Correct |
11 ms |
16724 KB |
Output is correct |
14 |
Correct |
9 ms |
16724 KB |
Output is correct |
15 |
Correct |
8 ms |
16736 KB |
Output is correct |
16 |
Correct |
8 ms |
16680 KB |
Output is correct |
17 |
Correct |
8 ms |
16724 KB |
Output is correct |
18 |
Correct |
8 ms |
16724 KB |
Output is correct |
19 |
Correct |
8 ms |
16724 KB |
Output is correct |
20 |
Correct |
8 ms |
16740 KB |
Output is correct |
21 |
Correct |
9 ms |
16724 KB |
Output is correct |
22 |
Correct |
8 ms |
16724 KB |
Output is correct |
23 |
Correct |
9 ms |
16724 KB |
Output is correct |
24 |
Correct |
8 ms |
16748 KB |
Output is correct |
25 |
Correct |
8 ms |
16724 KB |
Output is correct |
26 |
Correct |
9 ms |
16724 KB |
Output is correct |
27 |
Correct |
9 ms |
16724 KB |
Output is correct |
28 |
Correct |
8 ms |
16724 KB |
Output is correct |
29 |
Correct |
10 ms |
16724 KB |
Output is correct |
30 |
Correct |
9 ms |
16800 KB |
Output is correct |
31 |
Correct |
8 ms |
16716 KB |
Output is correct |
32 |
Correct |
8 ms |
16724 KB |
Output is correct |
33 |
Correct |
9 ms |
16724 KB |
Output is correct |
34 |
Correct |
9 ms |
16724 KB |
Output is correct |
35 |
Correct |
8 ms |
16748 KB |
Output is correct |
36 |
Correct |
9 ms |
16736 KB |
Output is correct |
37 |
Correct |
8 ms |
16724 KB |
Output is correct |
38 |
Correct |
8 ms |
16724 KB |
Output is correct |
39 |
Correct |
9 ms |
16788 KB |
Output is correct |
40 |
Correct |
10 ms |
16788 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
16728 KB |
Output is correct |
2 |
Correct |
8 ms |
16724 KB |
Output is correct |
3 |
Correct |
8 ms |
16724 KB |
Output is correct |
4 |
Correct |
8 ms |
16724 KB |
Output is correct |
5 |
Correct |
8 ms |
16724 KB |
Output is correct |
6 |
Correct |
8 ms |
16724 KB |
Output is correct |
7 |
Correct |
8 ms |
16720 KB |
Output is correct |
8 |
Correct |
8 ms |
16724 KB |
Output is correct |
9 |
Correct |
8 ms |
16724 KB |
Output is correct |
10 |
Correct |
10 ms |
16684 KB |
Output is correct |
11 |
Correct |
8 ms |
16724 KB |
Output is correct |
12 |
Correct |
8 ms |
16756 KB |
Output is correct |
13 |
Correct |
11 ms |
16724 KB |
Output is correct |
14 |
Correct |
9 ms |
16724 KB |
Output is correct |
15 |
Correct |
8 ms |
16736 KB |
Output is correct |
16 |
Correct |
8 ms |
16680 KB |
Output is correct |
17 |
Correct |
8 ms |
16724 KB |
Output is correct |
18 |
Correct |
8 ms |
16724 KB |
Output is correct |
19 |
Correct |
8 ms |
16724 KB |
Output is correct |
20 |
Correct |
8 ms |
16740 KB |
Output is correct |
21 |
Correct |
9 ms |
16724 KB |
Output is correct |
22 |
Correct |
8 ms |
16724 KB |
Output is correct |
23 |
Correct |
9 ms |
16724 KB |
Output is correct |
24 |
Correct |
8 ms |
16748 KB |
Output is correct |
25 |
Correct |
8 ms |
16724 KB |
Output is correct |
26 |
Correct |
9 ms |
16724 KB |
Output is correct |
27 |
Correct |
9 ms |
16724 KB |
Output is correct |
28 |
Correct |
8 ms |
16724 KB |
Output is correct |
29 |
Correct |
10 ms |
16724 KB |
Output is correct |
30 |
Correct |
9 ms |
16800 KB |
Output is correct |
31 |
Correct |
8 ms |
16716 KB |
Output is correct |
32 |
Correct |
8 ms |
16724 KB |
Output is correct |
33 |
Correct |
9 ms |
16724 KB |
Output is correct |
34 |
Correct |
9 ms |
16724 KB |
Output is correct |
35 |
Correct |
8 ms |
16748 KB |
Output is correct |
36 |
Correct |
9 ms |
16736 KB |
Output is correct |
37 |
Correct |
8 ms |
16724 KB |
Output is correct |
38 |
Correct |
8 ms |
16724 KB |
Output is correct |
39 |
Correct |
9 ms |
16788 KB |
Output is correct |
40 |
Correct |
10 ms |
16788 KB |
Output is correct |
41 |
Correct |
16 ms |
17108 KB |
Output is correct |
42 |
Correct |
16 ms |
17168 KB |
Output is correct |
43 |
Correct |
12 ms |
16968 KB |
Output is correct |
44 |
Correct |
13 ms |
17064 KB |
Output is correct |
45 |
Correct |
13 ms |
17076 KB |
Output is correct |
46 |
Correct |
17 ms |
17228 KB |
Output is correct |
47 |
Correct |
15 ms |
17220 KB |
Output is correct |
48 |
Correct |
15 ms |
17236 KB |
Output is correct |
49 |
Correct |
16 ms |
17236 KB |
Output is correct |
50 |
Correct |
14 ms |
17236 KB |
Output is correct |
51 |
Correct |
17 ms |
17184 KB |
Output is correct |
52 |
Correct |
16 ms |
17236 KB |
Output is correct |
53 |
Correct |
14 ms |
17176 KB |
Output is correct |
54 |
Correct |
14 ms |
17264 KB |
Output is correct |
55 |
Correct |
14 ms |
17264 KB |
Output is correct |
56 |
Correct |
14 ms |
17236 KB |
Output is correct |
57 |
Correct |
14 ms |
17176 KB |
Output is correct |
58 |
Correct |
12 ms |
17236 KB |
Output is correct |
59 |
Correct |
13 ms |
17252 KB |
Output is correct |
60 |
Correct |
13 ms |
17244 KB |
Output is correct |
61 |
Correct |
13 ms |
17164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
160 ms |
29412 KB |
Output is correct |
2 |
Correct |
240 ms |
30440 KB |
Output is correct |
3 |
Correct |
298 ms |
30904 KB |
Output is correct |
4 |
Correct |
506 ms |
34552 KB |
Output is correct |
5 |
Correct |
401 ms |
36616 KB |
Output is correct |
6 |
Correct |
504 ms |
36656 KB |
Output is correct |
7 |
Correct |
238 ms |
37148 KB |
Output is correct |
8 |
Correct |
212 ms |
36608 KB |
Output is correct |
9 |
Correct |
235 ms |
36684 KB |
Output is correct |
10 |
Correct |
262 ms |
36716 KB |
Output is correct |
11 |
Correct |
398 ms |
36656 KB |
Output is correct |
12 |
Correct |
435 ms |
36740 KB |
Output is correct |
13 |
Correct |
432 ms |
37296 KB |
Output is correct |
14 |
Correct |
516 ms |
36656 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
149 ms |
29312 KB |
Output is correct |
2 |
Correct |
236 ms |
29276 KB |
Output is correct |
3 |
Correct |
260 ms |
29444 KB |
Output is correct |
4 |
Correct |
416 ms |
36712 KB |
Output is correct |
5 |
Correct |
363 ms |
36684 KB |
Output is correct |
6 |
Correct |
404 ms |
39052 KB |
Output is correct |
7 |
Correct |
232 ms |
36624 KB |
Output is correct |
8 |
Correct |
217 ms |
36688 KB |
Output is correct |
9 |
Correct |
222 ms |
36572 KB |
Output is correct |
10 |
Correct |
339 ms |
36592 KB |
Output is correct |
11 |
Correct |
412 ms |
36660 KB |
Output is correct |
12 |
Correct |
386 ms |
36656 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
16728 KB |
Output is correct |
2 |
Correct |
8 ms |
16724 KB |
Output is correct |
3 |
Correct |
8 ms |
16724 KB |
Output is correct |
4 |
Correct |
8 ms |
16724 KB |
Output is correct |
5 |
Correct |
8 ms |
16724 KB |
Output is correct |
6 |
Correct |
8 ms |
16724 KB |
Output is correct |
7 |
Correct |
8 ms |
16720 KB |
Output is correct |
8 |
Correct |
8 ms |
16724 KB |
Output is correct |
9 |
Correct |
8 ms |
16724 KB |
Output is correct |
10 |
Correct |
10 ms |
16684 KB |
Output is correct |
11 |
Correct |
8 ms |
16724 KB |
Output is correct |
12 |
Correct |
8 ms |
16756 KB |
Output is correct |
13 |
Correct |
11 ms |
16724 KB |
Output is correct |
14 |
Correct |
9 ms |
16724 KB |
Output is correct |
15 |
Correct |
8 ms |
16736 KB |
Output is correct |
16 |
Correct |
8 ms |
16680 KB |
Output is correct |
17 |
Correct |
8 ms |
16724 KB |
Output is correct |
18 |
Correct |
8 ms |
16724 KB |
Output is correct |
19 |
Correct |
8 ms |
16724 KB |
Output is correct |
20 |
Correct |
8 ms |
16740 KB |
Output is correct |
21 |
Correct |
9 ms |
16724 KB |
Output is correct |
22 |
Correct |
8 ms |
16724 KB |
Output is correct |
23 |
Correct |
9 ms |
16724 KB |
Output is correct |
24 |
Correct |
8 ms |
16748 KB |
Output is correct |
25 |
Correct |
8 ms |
16724 KB |
Output is correct |
26 |
Correct |
9 ms |
16724 KB |
Output is correct |
27 |
Correct |
9 ms |
16724 KB |
Output is correct |
28 |
Correct |
8 ms |
16724 KB |
Output is correct |
29 |
Correct |
10 ms |
16724 KB |
Output is correct |
30 |
Correct |
9 ms |
16800 KB |
Output is correct |
31 |
Correct |
8 ms |
16716 KB |
Output is correct |
32 |
Correct |
8 ms |
16724 KB |
Output is correct |
33 |
Correct |
9 ms |
16724 KB |
Output is correct |
34 |
Correct |
9 ms |
16724 KB |
Output is correct |
35 |
Correct |
8 ms |
16748 KB |
Output is correct |
36 |
Correct |
9 ms |
16736 KB |
Output is correct |
37 |
Correct |
8 ms |
16724 KB |
Output is correct |
38 |
Correct |
8 ms |
16724 KB |
Output is correct |
39 |
Correct |
9 ms |
16788 KB |
Output is correct |
40 |
Correct |
10 ms |
16788 KB |
Output is correct |
41 |
Correct |
16 ms |
17108 KB |
Output is correct |
42 |
Correct |
16 ms |
17168 KB |
Output is correct |
43 |
Correct |
12 ms |
16968 KB |
Output is correct |
44 |
Correct |
13 ms |
17064 KB |
Output is correct |
45 |
Correct |
13 ms |
17076 KB |
Output is correct |
46 |
Correct |
17 ms |
17228 KB |
Output is correct |
47 |
Correct |
15 ms |
17220 KB |
Output is correct |
48 |
Correct |
15 ms |
17236 KB |
Output is correct |
49 |
Correct |
16 ms |
17236 KB |
Output is correct |
50 |
Correct |
14 ms |
17236 KB |
Output is correct |
51 |
Correct |
17 ms |
17184 KB |
Output is correct |
52 |
Correct |
16 ms |
17236 KB |
Output is correct |
53 |
Correct |
14 ms |
17176 KB |
Output is correct |
54 |
Correct |
14 ms |
17264 KB |
Output is correct |
55 |
Correct |
14 ms |
17264 KB |
Output is correct |
56 |
Correct |
14 ms |
17236 KB |
Output is correct |
57 |
Correct |
14 ms |
17176 KB |
Output is correct |
58 |
Correct |
12 ms |
17236 KB |
Output is correct |
59 |
Correct |
13 ms |
17252 KB |
Output is correct |
60 |
Correct |
13 ms |
17244 KB |
Output is correct |
61 |
Correct |
13 ms |
17164 KB |
Output is correct |
62 |
Correct |
160 ms |
29412 KB |
Output is correct |
63 |
Correct |
240 ms |
30440 KB |
Output is correct |
64 |
Correct |
298 ms |
30904 KB |
Output is correct |
65 |
Correct |
506 ms |
34552 KB |
Output is correct |
66 |
Correct |
401 ms |
36616 KB |
Output is correct |
67 |
Correct |
504 ms |
36656 KB |
Output is correct |
68 |
Correct |
238 ms |
37148 KB |
Output is correct |
69 |
Correct |
212 ms |
36608 KB |
Output is correct |
70 |
Correct |
235 ms |
36684 KB |
Output is correct |
71 |
Correct |
262 ms |
36716 KB |
Output is correct |
72 |
Correct |
398 ms |
36656 KB |
Output is correct |
73 |
Correct |
435 ms |
36740 KB |
Output is correct |
74 |
Correct |
432 ms |
37296 KB |
Output is correct |
75 |
Correct |
516 ms |
36656 KB |
Output is correct |
76 |
Correct |
149 ms |
29312 KB |
Output is correct |
77 |
Correct |
236 ms |
29276 KB |
Output is correct |
78 |
Correct |
260 ms |
29444 KB |
Output is correct |
79 |
Correct |
416 ms |
36712 KB |
Output is correct |
80 |
Correct |
363 ms |
36684 KB |
Output is correct |
81 |
Correct |
404 ms |
39052 KB |
Output is correct |
82 |
Correct |
232 ms |
36624 KB |
Output is correct |
83 |
Correct |
217 ms |
36688 KB |
Output is correct |
84 |
Correct |
222 ms |
36572 KB |
Output is correct |
85 |
Correct |
339 ms |
36592 KB |
Output is correct |
86 |
Correct |
412 ms |
36660 KB |
Output is correct |
87 |
Correct |
386 ms |
36656 KB |
Output is correct |
88 |
Correct |
332 ms |
32664 KB |
Output is correct |
89 |
Correct |
507 ms |
39152 KB |
Output is correct |
90 |
Correct |
362 ms |
31556 KB |
Output is correct |
91 |
Correct |
440 ms |
41916 KB |
Output is correct |
92 |
Correct |
230 ms |
32192 KB |
Output is correct |
93 |
Correct |
261 ms |
32356 KB |
Output is correct |
94 |
Correct |
372 ms |
37720 KB |
Output is correct |
95 |
Correct |
451 ms |
39564 KB |
Output is correct |
96 |
Correct |
436 ms |
39568 KB |
Output is correct |
97 |
Correct |
471 ms |
41924 KB |
Output is correct |
98 |
Correct |
461 ms |
39628 KB |
Output is correct |
99 |
Correct |
402 ms |
39564 KB |
Output is correct |
100 |
Correct |
415 ms |
39564 KB |
Output is correct |
101 |
Correct |
240 ms |
39548 KB |
Output is correct |
102 |
Correct |
247 ms |
39556 KB |
Output is correct |
103 |
Correct |
273 ms |
39636 KB |
Output is correct |
104 |
Correct |
297 ms |
39608 KB |
Output is correct |
105 |
Correct |
371 ms |
39564 KB |
Output is correct |
106 |
Correct |
290 ms |
39612 KB |
Output is correct |
107 |
Correct |
342 ms |
39568 KB |
Output is correct |
108 |
Correct |
399 ms |
39576 KB |
Output is correct |
109 |
Correct |
389 ms |
41916 KB |
Output is correct |
110 |
Correct |
469 ms |
41984 KB |
Output is correct |
111 |
Correct |
487 ms |
39564 KB |
Output is correct |
112 |
Correct |
319 ms |
39520 KB |
Output is correct |
113 |
Correct |
497 ms |
41988 KB |
Output is correct |
114 |
Correct |
452 ms |
41920 KB |
Output is correct |
115 |
Correct |
248 ms |
39628 KB |
Output is correct |
116 |
Correct |
254 ms |
39524 KB |
Output is correct |
117 |
Correct |
258 ms |
39528 KB |
Output is correct |
118 |
Correct |
262 ms |
39524 KB |
Output is correct |
119 |
Correct |
279 ms |
39500 KB |
Output is correct |
120 |
Correct |
274 ms |
39544 KB |
Output is correct |