#include <bits/stdc++.h>
using namespace std;
#define FAST_IO ios_base::sync_with_stdio(0); cin.tie(nullptr)
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define REP(n) FOR(O, 1, (n))
#define f first
#define s second
#define pb push_back
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<pii> vii;
typedef vector<ll> vl;
const int MAXN = 300100, MAXK = 20;
const ll INF = 1e17;
// DSU
int par[MAXN], mn[MAXN];
int find(int a) { return par[a] = par[a] == a ? a : find(par[a]); }
bool same(int a, int b) { return find(a) == find(b); }
void unite(int a, int b) {
a = find(a), b = find(b);
if (a == b) return;
par[b] = a;
mn[a] = min(mn[a], mn[b]);
}
int n, d;
int a[MAXN];
set<int> tmp;
unordered_map<int, int> toId;
// two segtrees. i am actually using only one in this solution (the second one was left from the solution for subtasks)
int tree[2][4 * MAXN];
void upd(int tid, int p, int val, int id = 1, int le = 1, int ri = n) {
if (le == ri) {
tree[tid][id] = val;
return;
}
int mid = (le + ri) / 2;
if (p <= mid)
upd(tid, p, val, 2 * id, le, mid);
else
upd(tid, p, val, 2 * id + 1, mid + 1, ri);
tree[tid][id] = max(tree[tid][2 * id], tree[tid][2 * id + 1]);
}
int get(int tid, int x, int y, int id = 1, int le = 1, int ri = n) {
if (x > ri || y < le) return 0;
if (x <= le && ri <= y) return tree[tid][id];
int mid = (le + ri) / 2;
return max(get(tid, x, y, 2 * id, le, mid), get(tid, x, y, 2 * id + 1, mid + 1, ri));
}
bool cmp(int f, int s) {
if (a[f] != a[s])
return a[f] < a[s];
return f > s;
}
vi seq;
set<int> spec;
int main()
{
FAST_IO;
cin >> n >> d;
FOR(i, 1, n) cin >> a[i];
FOR(i, 1, n) par[i] = i, mn[i] = i;
// coordinate compression which ended up being not necessary in the full solution
FOR(i, 1, n) tmp.insert(a[i]);
int cur = 0;
for (int x : tmp)
toId[x] = ++cur;
FOR(i, 1, n) a[i] = toId[a[i]];
FOR(i, 1, n) upd(0, i, a[i]);
FOR(i, 1, n) seq.pb(i);
// sorting by a[i]
sort(seq.begin(), seq.end(), cmp);
for (int i : seq) {
auto it = spec.lower_bound(i);
if (it != spec.end()) {
int id = *it;
if (abs(id - i) <= d) {
unite(id, i);
}
}
if (it != spec.begin()) {
it--;
int id = *it;
if (abs(id - i) <= d) {
unite(id, i);
}
}
spec.insert(i);
int cur = 1; // cur is the value of dp[i]
int fr = mn[find(i)];
if (fr <= i - 1) cur = max(cur, get(1, fr, i - 1) + 1);
upd(1, i, cur);
}
cout << (get(1, 1, n)) << "\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
0 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
0 ms |
332 KB |
Output is correct |
22 |
Correct |
0 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
0 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
0 ms |
332 KB |
Output is correct |
22 |
Correct |
0 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
0 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
0 ms |
332 KB |
Output is correct |
22 |
Correct |
0 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
8 ms |
972 KB |
Output is correct |
42 |
Correct |
10 ms |
1420 KB |
Output is correct |
43 |
Correct |
7 ms |
844 KB |
Output is correct |
44 |
Correct |
9 ms |
1100 KB |
Output is correct |
45 |
Correct |
9 ms |
1136 KB |
Output is correct |
46 |
Correct |
11 ms |
1484 KB |
Output is correct |
47 |
Correct |
12 ms |
1460 KB |
Output is correct |
48 |
Correct |
13 ms |
1464 KB |
Output is correct |
49 |
Correct |
11 ms |
1460 KB |
Output is correct |
50 |
Correct |
11 ms |
1484 KB |
Output is correct |
51 |
Correct |
10 ms |
1484 KB |
Output is correct |
52 |
Correct |
10 ms |
1484 KB |
Output is correct |
53 |
Correct |
9 ms |
1532 KB |
Output is correct |
54 |
Correct |
9 ms |
1484 KB |
Output is correct |
55 |
Correct |
12 ms |
1484 KB |
Output is correct |
56 |
Correct |
11 ms |
1484 KB |
Output is correct |
57 |
Correct |
11 ms |
1484 KB |
Output is correct |
58 |
Correct |
9 ms |
1484 KB |
Output is correct |
59 |
Correct |
9 ms |
1484 KB |
Output is correct |
60 |
Correct |
9 ms |
1492 KB |
Output is correct |
61 |
Correct |
10 ms |
1476 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
303 ms |
27224 KB |
Output is correct |
2 |
Correct |
365 ms |
27244 KB |
Output is correct |
3 |
Correct |
560 ms |
27316 KB |
Output is correct |
4 |
Correct |
939 ms |
50076 KB |
Output is correct |
5 |
Correct |
737 ms |
53552 KB |
Output is correct |
6 |
Correct |
927 ms |
53484 KB |
Output is correct |
7 |
Correct |
485 ms |
53164 KB |
Output is correct |
8 |
Correct |
421 ms |
53356 KB |
Output is correct |
9 |
Correct |
497 ms |
53608 KB |
Output is correct |
10 |
Correct |
472 ms |
53596 KB |
Output is correct |
11 |
Correct |
649 ms |
53652 KB |
Output is correct |
12 |
Correct |
686 ms |
53508 KB |
Output is correct |
13 |
Correct |
813 ms |
53604 KB |
Output is correct |
14 |
Correct |
808 ms |
53424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
315 ms |
27340 KB |
Output is correct |
2 |
Correct |
559 ms |
27308 KB |
Output is correct |
3 |
Correct |
659 ms |
27628 KB |
Output is correct |
4 |
Correct |
975 ms |
53596 KB |
Output is correct |
5 |
Correct |
839 ms |
53472 KB |
Output is correct |
6 |
Correct |
1025 ms |
53448 KB |
Output is correct |
7 |
Correct |
493 ms |
53476 KB |
Output is correct |
8 |
Correct |
411 ms |
53444 KB |
Output is correct |
9 |
Correct |
563 ms |
53196 KB |
Output is correct |
10 |
Correct |
651 ms |
53484 KB |
Output is correct |
11 |
Correct |
978 ms |
53504 KB |
Output is correct |
12 |
Correct |
864 ms |
53424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
0 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
0 ms |
332 KB |
Output is correct |
22 |
Correct |
0 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
8 ms |
972 KB |
Output is correct |
42 |
Correct |
10 ms |
1420 KB |
Output is correct |
43 |
Correct |
7 ms |
844 KB |
Output is correct |
44 |
Correct |
9 ms |
1100 KB |
Output is correct |
45 |
Correct |
9 ms |
1136 KB |
Output is correct |
46 |
Correct |
11 ms |
1484 KB |
Output is correct |
47 |
Correct |
12 ms |
1460 KB |
Output is correct |
48 |
Correct |
13 ms |
1464 KB |
Output is correct |
49 |
Correct |
11 ms |
1460 KB |
Output is correct |
50 |
Correct |
11 ms |
1484 KB |
Output is correct |
51 |
Correct |
10 ms |
1484 KB |
Output is correct |
52 |
Correct |
10 ms |
1484 KB |
Output is correct |
53 |
Correct |
9 ms |
1532 KB |
Output is correct |
54 |
Correct |
9 ms |
1484 KB |
Output is correct |
55 |
Correct |
12 ms |
1484 KB |
Output is correct |
56 |
Correct |
11 ms |
1484 KB |
Output is correct |
57 |
Correct |
11 ms |
1484 KB |
Output is correct |
58 |
Correct |
9 ms |
1484 KB |
Output is correct |
59 |
Correct |
9 ms |
1484 KB |
Output is correct |
60 |
Correct |
9 ms |
1492 KB |
Output is correct |
61 |
Correct |
10 ms |
1476 KB |
Output is correct |
62 |
Correct |
303 ms |
27224 KB |
Output is correct |
63 |
Correct |
365 ms |
27244 KB |
Output is correct |
64 |
Correct |
560 ms |
27316 KB |
Output is correct |
65 |
Correct |
939 ms |
50076 KB |
Output is correct |
66 |
Correct |
737 ms |
53552 KB |
Output is correct |
67 |
Correct |
927 ms |
53484 KB |
Output is correct |
68 |
Correct |
485 ms |
53164 KB |
Output is correct |
69 |
Correct |
421 ms |
53356 KB |
Output is correct |
70 |
Correct |
497 ms |
53608 KB |
Output is correct |
71 |
Correct |
472 ms |
53596 KB |
Output is correct |
72 |
Correct |
649 ms |
53652 KB |
Output is correct |
73 |
Correct |
686 ms |
53508 KB |
Output is correct |
74 |
Correct |
813 ms |
53604 KB |
Output is correct |
75 |
Correct |
808 ms |
53424 KB |
Output is correct |
76 |
Correct |
315 ms |
27340 KB |
Output is correct |
77 |
Correct |
559 ms |
27308 KB |
Output is correct |
78 |
Correct |
659 ms |
27628 KB |
Output is correct |
79 |
Correct |
975 ms |
53596 KB |
Output is correct |
80 |
Correct |
839 ms |
53472 KB |
Output is correct |
81 |
Correct |
1025 ms |
53448 KB |
Output is correct |
82 |
Correct |
493 ms |
53476 KB |
Output is correct |
83 |
Correct |
411 ms |
53444 KB |
Output is correct |
84 |
Correct |
563 ms |
53196 KB |
Output is correct |
85 |
Correct |
651 ms |
53484 KB |
Output is correct |
86 |
Correct |
978 ms |
53504 KB |
Output is correct |
87 |
Correct |
864 ms |
53424 KB |
Output is correct |
88 |
Correct |
627 ms |
27412 KB |
Output is correct |
89 |
Correct |
1101 ms |
52588 KB |
Output is correct |
90 |
Correct |
858 ms |
31624 KB |
Output is correct |
91 |
Correct |
1042 ms |
53504 KB |
Output is correct |
92 |
Correct |
495 ms |
27360 KB |
Output is correct |
93 |
Correct |
727 ms |
27868 KB |
Output is correct |
94 |
Correct |
916 ms |
46592 KB |
Output is correct |
95 |
Correct |
850 ms |
53700 KB |
Output is correct |
96 |
Correct |
922 ms |
53432 KB |
Output is correct |
97 |
Correct |
977 ms |
53596 KB |
Output is correct |
98 |
Correct |
977 ms |
53524 KB |
Output is correct |
99 |
Correct |
1000 ms |
53560 KB |
Output is correct |
100 |
Correct |
979 ms |
53452 KB |
Output is correct |
101 |
Correct |
515 ms |
53492 KB |
Output is correct |
102 |
Correct |
523 ms |
53544 KB |
Output is correct |
103 |
Correct |
564 ms |
53520 KB |
Output is correct |
104 |
Correct |
619 ms |
53484 KB |
Output is correct |
105 |
Correct |
744 ms |
53520 KB |
Output is correct |
106 |
Correct |
661 ms |
53684 KB |
Output is correct |
107 |
Correct |
746 ms |
53524 KB |
Output is correct |
108 |
Correct |
1032 ms |
53552 KB |
Output is correct |
109 |
Correct |
717 ms |
53520 KB |
Output is correct |
110 |
Correct |
988 ms |
53512 KB |
Output is correct |
111 |
Correct |
989 ms |
53504 KB |
Output is correct |
112 |
Correct |
687 ms |
53484 KB |
Output is correct |
113 |
Correct |
915 ms |
53544 KB |
Output is correct |
114 |
Correct |
972 ms |
53496 KB |
Output is correct |
115 |
Correct |
554 ms |
53432 KB |
Output is correct |
116 |
Correct |
561 ms |
53436 KB |
Output is correct |
117 |
Correct |
637 ms |
53600 KB |
Output is correct |
118 |
Correct |
625 ms |
53576 KB |
Output is correct |
119 |
Correct |
586 ms |
53452 KB |
Output is correct |
120 |
Correct |
597 ms |
53500 KB |
Output is correct |