#include<bits/stdc++.h>
using namespace std;
#define maxn 300005
#define pii pair<int,int>
int n,d,a[maxn],Min[maxn],rr[maxn],dp[maxn];
vector<int> p,pos[maxn];
namespace ST{
int tree[4*maxn];
void build(int l,int r,int id){
if(l==r){
tree[id]=-1;
return;
}
int mid=(l+r)>>1;
build(l,mid,id<<1);build(mid+1,r,id<<1|1);
tree[id]=max(tree[id<<1],tree[id<<1|1]);
}
int query(int l,int r,int id,int tl,int tr){
if(tr<l || r<tl) return -1;
if(tl<=l && r<=tr) return tree[id];
int mid=(l+r)>>1;
return max(query(l,mid,id<<1,tl,tr),query(mid+1,r,id<<1|1,tl,tr));
}
void update(int l,int r,int id,int p,int val){
if(l==r){
tree[id]=val;
return;
}
int mid=(l+r)>>1;
if(p<=mid) update(l,mid,id<<1,p,val);
else update(mid+1,r,id<<1|1,p,val);
tree[id]=max(tree[id<<1],tree[id<<1|1]);
}
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
cin >> n >> d;
//Compress numbers
for(int i=1;i<=n;i++){
cin >> a[i];
p.push_back(a[i]);
}
sort(p.begin(),p.end());
p.erase(unique(p.begin(),p.end()),p.end());
for(int i=1;i<=n;i++) a[i]=lower_bound(p.begin(),p.end(),a[i])-p.begin()+1;
//calculate Min[i] is the minimum number from i->i+d-1
priority_queue<pii,vector<pii>,greater<pii>> pq;
for(int i=n;i>=n-d+1;i--){pq.push({a[i],i});rr[i]=n;}
for(int i=n-d+1;i>=1;i--){
while(!pq.empty() && pq.top().second>=i+d) pq.pop();
Min[i]=pq.top().first;
pq.push({a[i-1],i-1});
}
// calculate r[i] is the farthest that i can go to
vector<int> v;v.push_back(n-d+1);
for(int i=n-d;i>=1;i--){
while(!v.empty() && Min[i]>=Min[v.back()]) v.pop_back();
v.push_back(i);
rr[i]=n;
int lt=0,rt=(int)v.size()-1;
while(rt>=lt){
int mid=(lt+rt)>>1;
if(Min[v[mid]]>a[i]){rr[i]=v[mid]+d-1;lt=mid+1;}
else rt=mid-1;
}
}
//calculate dp with sort a[i]
for(int i=1;i<=n;i++) pos[a[i]].push_back(i);
int ans=0;
ST::build(1,n,1);
ST::update(1,n,1,n,0);
for(int i=n;i>=1;i--){
for(int x:pos[i]){
dp[x]=ST::query(1,n,1,x,rr[x])+1;
ans=max(ans,dp[x]);
}
for(int x:pos[i]) ST::update(1,n,1,x,dp[x]);
}
cout << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7384 KB |
Output is correct |
3 |
Correct |
3 ms |
7380 KB |
Output is correct |
4 |
Correct |
3 ms |
7380 KB |
Output is correct |
5 |
Correct |
3 ms |
7380 KB |
Output is correct |
6 |
Correct |
4 ms |
7380 KB |
Output is correct |
7 |
Correct |
4 ms |
7320 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7380 KB |
Output is correct |
10 |
Correct |
4 ms |
7380 KB |
Output is correct |
11 |
Correct |
4 ms |
7380 KB |
Output is correct |
12 |
Correct |
4 ms |
7380 KB |
Output is correct |
13 |
Correct |
4 ms |
7380 KB |
Output is correct |
14 |
Correct |
3 ms |
7380 KB |
Output is correct |
15 |
Correct |
4 ms |
7380 KB |
Output is correct |
16 |
Correct |
4 ms |
7380 KB |
Output is correct |
17 |
Correct |
4 ms |
7380 KB |
Output is correct |
18 |
Correct |
4 ms |
7380 KB |
Output is correct |
19 |
Correct |
5 ms |
7380 KB |
Output is correct |
20 |
Correct |
4 ms |
7380 KB |
Output is correct |
21 |
Correct |
4 ms |
7380 KB |
Output is correct |
22 |
Correct |
4 ms |
7380 KB |
Output is correct |
23 |
Correct |
4 ms |
7380 KB |
Output is correct |
24 |
Correct |
4 ms |
7380 KB |
Output is correct |
25 |
Correct |
4 ms |
7380 KB |
Output is correct |
26 |
Correct |
4 ms |
7380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7384 KB |
Output is correct |
3 |
Correct |
3 ms |
7380 KB |
Output is correct |
4 |
Correct |
3 ms |
7380 KB |
Output is correct |
5 |
Correct |
3 ms |
7380 KB |
Output is correct |
6 |
Correct |
4 ms |
7380 KB |
Output is correct |
7 |
Correct |
4 ms |
7320 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7380 KB |
Output is correct |
10 |
Correct |
4 ms |
7380 KB |
Output is correct |
11 |
Correct |
4 ms |
7380 KB |
Output is correct |
12 |
Correct |
4 ms |
7380 KB |
Output is correct |
13 |
Correct |
4 ms |
7380 KB |
Output is correct |
14 |
Correct |
3 ms |
7380 KB |
Output is correct |
15 |
Correct |
4 ms |
7380 KB |
Output is correct |
16 |
Correct |
4 ms |
7380 KB |
Output is correct |
17 |
Correct |
4 ms |
7380 KB |
Output is correct |
18 |
Correct |
4 ms |
7380 KB |
Output is correct |
19 |
Correct |
5 ms |
7380 KB |
Output is correct |
20 |
Correct |
4 ms |
7380 KB |
Output is correct |
21 |
Correct |
4 ms |
7380 KB |
Output is correct |
22 |
Correct |
4 ms |
7380 KB |
Output is correct |
23 |
Correct |
4 ms |
7380 KB |
Output is correct |
24 |
Correct |
4 ms |
7380 KB |
Output is correct |
25 |
Correct |
4 ms |
7380 KB |
Output is correct |
26 |
Correct |
4 ms |
7380 KB |
Output is correct |
27 |
Correct |
4 ms |
7380 KB |
Output is correct |
28 |
Correct |
3 ms |
7296 KB |
Output is correct |
29 |
Correct |
4 ms |
7380 KB |
Output is correct |
30 |
Correct |
4 ms |
7380 KB |
Output is correct |
31 |
Correct |
4 ms |
7380 KB |
Output is correct |
32 |
Correct |
4 ms |
7380 KB |
Output is correct |
33 |
Correct |
4 ms |
7380 KB |
Output is correct |
34 |
Correct |
4 ms |
7380 KB |
Output is correct |
35 |
Correct |
4 ms |
7380 KB |
Output is correct |
36 |
Correct |
4 ms |
7420 KB |
Output is correct |
37 |
Correct |
4 ms |
7380 KB |
Output is correct |
38 |
Correct |
4 ms |
7420 KB |
Output is correct |
39 |
Correct |
4 ms |
7380 KB |
Output is correct |
40 |
Correct |
4 ms |
7380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7384 KB |
Output is correct |
3 |
Correct |
3 ms |
7380 KB |
Output is correct |
4 |
Correct |
3 ms |
7380 KB |
Output is correct |
5 |
Correct |
3 ms |
7380 KB |
Output is correct |
6 |
Correct |
4 ms |
7380 KB |
Output is correct |
7 |
Correct |
4 ms |
7320 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7380 KB |
Output is correct |
10 |
Correct |
4 ms |
7380 KB |
Output is correct |
11 |
Correct |
4 ms |
7380 KB |
Output is correct |
12 |
Correct |
4 ms |
7380 KB |
Output is correct |
13 |
Correct |
4 ms |
7380 KB |
Output is correct |
14 |
Correct |
3 ms |
7380 KB |
Output is correct |
15 |
Correct |
4 ms |
7380 KB |
Output is correct |
16 |
Correct |
4 ms |
7380 KB |
Output is correct |
17 |
Correct |
4 ms |
7380 KB |
Output is correct |
18 |
Correct |
4 ms |
7380 KB |
Output is correct |
19 |
Correct |
5 ms |
7380 KB |
Output is correct |
20 |
Correct |
4 ms |
7380 KB |
Output is correct |
21 |
Correct |
4 ms |
7380 KB |
Output is correct |
22 |
Correct |
4 ms |
7380 KB |
Output is correct |
23 |
Correct |
4 ms |
7380 KB |
Output is correct |
24 |
Correct |
4 ms |
7380 KB |
Output is correct |
25 |
Correct |
4 ms |
7380 KB |
Output is correct |
26 |
Correct |
4 ms |
7380 KB |
Output is correct |
27 |
Correct |
4 ms |
7380 KB |
Output is correct |
28 |
Correct |
3 ms |
7296 KB |
Output is correct |
29 |
Correct |
4 ms |
7380 KB |
Output is correct |
30 |
Correct |
4 ms |
7380 KB |
Output is correct |
31 |
Correct |
4 ms |
7380 KB |
Output is correct |
32 |
Correct |
4 ms |
7380 KB |
Output is correct |
33 |
Correct |
4 ms |
7380 KB |
Output is correct |
34 |
Correct |
4 ms |
7380 KB |
Output is correct |
35 |
Correct |
4 ms |
7380 KB |
Output is correct |
36 |
Correct |
4 ms |
7420 KB |
Output is correct |
37 |
Correct |
4 ms |
7380 KB |
Output is correct |
38 |
Correct |
4 ms |
7420 KB |
Output is correct |
39 |
Correct |
4 ms |
7380 KB |
Output is correct |
40 |
Correct |
4 ms |
7380 KB |
Output is correct |
41 |
Correct |
8 ms |
7636 KB |
Output is correct |
42 |
Correct |
8 ms |
7796 KB |
Output is correct |
43 |
Correct |
7 ms |
7636 KB |
Output is correct |
44 |
Correct |
8 ms |
7636 KB |
Output is correct |
45 |
Correct |
8 ms |
7636 KB |
Output is correct |
46 |
Correct |
8 ms |
7764 KB |
Output is correct |
47 |
Correct |
10 ms |
7772 KB |
Output is correct |
48 |
Correct |
9 ms |
7764 KB |
Output is correct |
49 |
Correct |
8 ms |
7836 KB |
Output is correct |
50 |
Correct |
8 ms |
7764 KB |
Output is correct |
51 |
Correct |
8 ms |
7788 KB |
Output is correct |
52 |
Correct |
8 ms |
7764 KB |
Output is correct |
53 |
Correct |
7 ms |
7760 KB |
Output is correct |
54 |
Correct |
8 ms |
7860 KB |
Output is correct |
55 |
Correct |
8 ms |
7864 KB |
Output is correct |
56 |
Correct |
9 ms |
7764 KB |
Output is correct |
57 |
Correct |
8 ms |
7764 KB |
Output is correct |
58 |
Correct |
7 ms |
7840 KB |
Output is correct |
59 |
Correct |
6 ms |
7764 KB |
Output is correct |
60 |
Correct |
7 ms |
7764 KB |
Output is correct |
61 |
Correct |
7 ms |
7764 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
127 ms |
22868 KB |
Output is correct |
2 |
Correct |
163 ms |
19700 KB |
Output is correct |
3 |
Correct |
213 ms |
19356 KB |
Output is correct |
4 |
Correct |
302 ms |
25352 KB |
Output is correct |
5 |
Correct |
244 ms |
26688 KB |
Output is correct |
6 |
Correct |
317 ms |
26616 KB |
Output is correct |
7 |
Correct |
155 ms |
30064 KB |
Output is correct |
8 |
Correct |
141 ms |
26676 KB |
Output is correct |
9 |
Correct |
175 ms |
28960 KB |
Output is correct |
10 |
Correct |
153 ms |
26656 KB |
Output is correct |
11 |
Correct |
239 ms |
26652 KB |
Output is correct |
12 |
Correct |
246 ms |
26692 KB |
Output is correct |
13 |
Correct |
243 ms |
26664 KB |
Output is correct |
14 |
Correct |
265 ms |
26620 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
132 ms |
21772 KB |
Output is correct |
2 |
Correct |
164 ms |
19984 KB |
Output is correct |
3 |
Correct |
189 ms |
20544 KB |
Output is correct |
4 |
Correct |
294 ms |
27836 KB |
Output is correct |
5 |
Correct |
243 ms |
27916 KB |
Output is correct |
6 |
Correct |
282 ms |
27896 KB |
Output is correct |
7 |
Correct |
147 ms |
27908 KB |
Output is correct |
8 |
Correct |
141 ms |
27928 KB |
Output is correct |
9 |
Correct |
155 ms |
27776 KB |
Output is correct |
10 |
Correct |
210 ms |
27832 KB |
Output is correct |
11 |
Correct |
296 ms |
27840 KB |
Output is correct |
12 |
Correct |
204 ms |
27872 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7384 KB |
Output is correct |
3 |
Correct |
3 ms |
7380 KB |
Output is correct |
4 |
Correct |
3 ms |
7380 KB |
Output is correct |
5 |
Correct |
3 ms |
7380 KB |
Output is correct |
6 |
Correct |
4 ms |
7380 KB |
Output is correct |
7 |
Correct |
4 ms |
7320 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7380 KB |
Output is correct |
10 |
Correct |
4 ms |
7380 KB |
Output is correct |
11 |
Correct |
4 ms |
7380 KB |
Output is correct |
12 |
Correct |
4 ms |
7380 KB |
Output is correct |
13 |
Correct |
4 ms |
7380 KB |
Output is correct |
14 |
Correct |
3 ms |
7380 KB |
Output is correct |
15 |
Correct |
4 ms |
7380 KB |
Output is correct |
16 |
Correct |
4 ms |
7380 KB |
Output is correct |
17 |
Correct |
4 ms |
7380 KB |
Output is correct |
18 |
Correct |
4 ms |
7380 KB |
Output is correct |
19 |
Correct |
5 ms |
7380 KB |
Output is correct |
20 |
Correct |
4 ms |
7380 KB |
Output is correct |
21 |
Correct |
4 ms |
7380 KB |
Output is correct |
22 |
Correct |
4 ms |
7380 KB |
Output is correct |
23 |
Correct |
4 ms |
7380 KB |
Output is correct |
24 |
Correct |
4 ms |
7380 KB |
Output is correct |
25 |
Correct |
4 ms |
7380 KB |
Output is correct |
26 |
Correct |
4 ms |
7380 KB |
Output is correct |
27 |
Correct |
4 ms |
7380 KB |
Output is correct |
28 |
Correct |
3 ms |
7296 KB |
Output is correct |
29 |
Correct |
4 ms |
7380 KB |
Output is correct |
30 |
Correct |
4 ms |
7380 KB |
Output is correct |
31 |
Correct |
4 ms |
7380 KB |
Output is correct |
32 |
Correct |
4 ms |
7380 KB |
Output is correct |
33 |
Correct |
4 ms |
7380 KB |
Output is correct |
34 |
Correct |
4 ms |
7380 KB |
Output is correct |
35 |
Correct |
4 ms |
7380 KB |
Output is correct |
36 |
Correct |
4 ms |
7420 KB |
Output is correct |
37 |
Correct |
4 ms |
7380 KB |
Output is correct |
38 |
Correct |
4 ms |
7420 KB |
Output is correct |
39 |
Correct |
4 ms |
7380 KB |
Output is correct |
40 |
Correct |
4 ms |
7380 KB |
Output is correct |
41 |
Correct |
8 ms |
7636 KB |
Output is correct |
42 |
Correct |
8 ms |
7796 KB |
Output is correct |
43 |
Correct |
7 ms |
7636 KB |
Output is correct |
44 |
Correct |
8 ms |
7636 KB |
Output is correct |
45 |
Correct |
8 ms |
7636 KB |
Output is correct |
46 |
Correct |
8 ms |
7764 KB |
Output is correct |
47 |
Correct |
10 ms |
7772 KB |
Output is correct |
48 |
Correct |
9 ms |
7764 KB |
Output is correct |
49 |
Correct |
8 ms |
7836 KB |
Output is correct |
50 |
Correct |
8 ms |
7764 KB |
Output is correct |
51 |
Correct |
8 ms |
7788 KB |
Output is correct |
52 |
Correct |
8 ms |
7764 KB |
Output is correct |
53 |
Correct |
7 ms |
7760 KB |
Output is correct |
54 |
Correct |
8 ms |
7860 KB |
Output is correct |
55 |
Correct |
8 ms |
7864 KB |
Output is correct |
56 |
Correct |
9 ms |
7764 KB |
Output is correct |
57 |
Correct |
8 ms |
7764 KB |
Output is correct |
58 |
Correct |
7 ms |
7840 KB |
Output is correct |
59 |
Correct |
6 ms |
7764 KB |
Output is correct |
60 |
Correct |
7 ms |
7764 KB |
Output is correct |
61 |
Correct |
7 ms |
7764 KB |
Output is correct |
62 |
Correct |
127 ms |
22868 KB |
Output is correct |
63 |
Correct |
163 ms |
19700 KB |
Output is correct |
64 |
Correct |
213 ms |
19356 KB |
Output is correct |
65 |
Correct |
302 ms |
25352 KB |
Output is correct |
66 |
Correct |
244 ms |
26688 KB |
Output is correct |
67 |
Correct |
317 ms |
26616 KB |
Output is correct |
68 |
Correct |
155 ms |
30064 KB |
Output is correct |
69 |
Correct |
141 ms |
26676 KB |
Output is correct |
70 |
Correct |
175 ms |
28960 KB |
Output is correct |
71 |
Correct |
153 ms |
26656 KB |
Output is correct |
72 |
Correct |
239 ms |
26652 KB |
Output is correct |
73 |
Correct |
246 ms |
26692 KB |
Output is correct |
74 |
Correct |
243 ms |
26664 KB |
Output is correct |
75 |
Correct |
265 ms |
26620 KB |
Output is correct |
76 |
Correct |
132 ms |
21772 KB |
Output is correct |
77 |
Correct |
164 ms |
19984 KB |
Output is correct |
78 |
Correct |
189 ms |
20544 KB |
Output is correct |
79 |
Correct |
294 ms |
27836 KB |
Output is correct |
80 |
Correct |
243 ms |
27916 KB |
Output is correct |
81 |
Correct |
282 ms |
27896 KB |
Output is correct |
82 |
Correct |
147 ms |
27908 KB |
Output is correct |
83 |
Correct |
141 ms |
27928 KB |
Output is correct |
84 |
Correct |
155 ms |
27776 KB |
Output is correct |
85 |
Correct |
210 ms |
27832 KB |
Output is correct |
86 |
Correct |
296 ms |
27840 KB |
Output is correct |
87 |
Correct |
204 ms |
27872 KB |
Output is correct |
88 |
Correct |
219 ms |
19008 KB |
Output is correct |
89 |
Correct |
349 ms |
26496 KB |
Output is correct |
90 |
Correct |
267 ms |
20644 KB |
Output is correct |
91 |
Correct |
314 ms |
28764 KB |
Output is correct |
92 |
Correct |
157 ms |
21696 KB |
Output is correct |
93 |
Correct |
201 ms |
21500 KB |
Output is correct |
94 |
Correct |
308 ms |
28368 KB |
Output is correct |
95 |
Correct |
287 ms |
29632 KB |
Output is correct |
96 |
Correct |
343 ms |
30896 KB |
Output is correct |
97 |
Correct |
340 ms |
30804 KB |
Output is correct |
98 |
Correct |
298 ms |
31692 KB |
Output is correct |
99 |
Correct |
293 ms |
31876 KB |
Output is correct |
100 |
Correct |
286 ms |
31880 KB |
Output is correct |
101 |
Correct |
172 ms |
31880 KB |
Output is correct |
102 |
Correct |
185 ms |
32036 KB |
Output is correct |
103 |
Correct |
213 ms |
31968 KB |
Output is correct |
104 |
Correct |
224 ms |
32028 KB |
Output is correct |
105 |
Correct |
245 ms |
31880 KB |
Output is correct |
106 |
Correct |
220 ms |
29628 KB |
Output is correct |
107 |
Correct |
246 ms |
29896 KB |
Output is correct |
108 |
Correct |
269 ms |
31508 KB |
Output is correct |
109 |
Correct |
257 ms |
29704 KB |
Output is correct |
110 |
Correct |
300 ms |
31172 KB |
Output is correct |
111 |
Correct |
261 ms |
31648 KB |
Output is correct |
112 |
Correct |
234 ms |
31692 KB |
Output is correct |
113 |
Correct |
267 ms |
31940 KB |
Output is correct |
114 |
Correct |
250 ms |
31944 KB |
Output is correct |
115 |
Correct |
147 ms |
30896 KB |
Output is correct |
116 |
Correct |
143 ms |
30784 KB |
Output is correct |
117 |
Correct |
171 ms |
31292 KB |
Output is correct |
118 |
Correct |
163 ms |
31292 KB |
Output is correct |
119 |
Correct |
213 ms |
31868 KB |
Output is correct |
120 |
Correct |
204 ms |
31932 KB |
Output is correct |