#include<bits/stdc++.h>
#define ll long long
#define F first
#define S second
using namespace std;
const ll p=1e6+3;
struct Dsu{
int ori[1000010]={};
void init(int n){
for(int i=0;i<=n;i++)ori[i]=i;
}
int f(int a){
if(ori[a]==a)return a;
ori[a]=f(ori[a]);
return ori[a];
}
void onion(int a,int b){
a=f(a);
b=f(b);
ori[a]=b;
return ;
}
}dsu;
int n,k,x[1000010];
ll pre[1000010],erp[1000010];
ll inv(ll a){
return a==1?1:(p-p/a)*inv(p%a)%p;
}
ll c(ll a,ll b){
if(a<b)return 0;
return ((pre[a]*erp[b]%p)*erp[a-b])%p;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cin>>n>>k;
dsu.init(n+1);
pre[0]=1;
erp[0]=1;
for(int i=1;i<=1000000;i++){
pre[i]=(pre[i-1]*i)%p;
erp[i]=inv(pre[i]);
}
for(int i=0;i<n-k+1;i++){
cin>>x[i];
}
for(int i=0;i<n-k;i++){
int f=i+2,b=f+k;
if(x[i]==x[i+1])dsu.onion(f,b);
if(x[i]>x[i+1]){
dsu.onion(f,1);
dsu.onion(b,0);
}
if(x[i]<x[i+1]){
dsu.onion(f,0);
dsu.onion(b,1);
}
}
if(dsu.f(0)==dsu.f(1)){
cout<<"0\n";
return 0;
}
int u=dsu.f(0),v=dsu.f(1);
int cnt=0,cnt1=0;
for(int i=2;i<2+k;i++){
int w=dsu.f(i);
if(w==v){
cnt1++;
}
if(u!=w&&v!=w){
cnt++;
}
}
cout<<c(cnt,x[0]-cnt1)<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
183 ms |
19024 KB |
Output is correct |
2 |
Correct |
184 ms |
19028 KB |
Output is correct |
3 |
Correct |
186 ms |
19068 KB |
Output is correct |
4 |
Correct |
184 ms |
19064 KB |
Output is correct |
5 |
Correct |
184 ms |
19080 KB |
Output is correct |
6 |
Correct |
185 ms |
19284 KB |
Output is correct |
7 |
Correct |
184 ms |
19024 KB |
Output is correct |
8 |
Correct |
184 ms |
19080 KB |
Output is correct |
9 |
Correct |
184 ms |
19080 KB |
Output is correct |
10 |
Correct |
184 ms |
19084 KB |
Output is correct |
11 |
Correct |
184 ms |
19028 KB |
Output is correct |
12 |
Correct |
184 ms |
19280 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
183 ms |
19024 KB |
Output is correct |
2 |
Correct |
184 ms |
19028 KB |
Output is correct |
3 |
Correct |
186 ms |
19068 KB |
Output is correct |
4 |
Correct |
184 ms |
19064 KB |
Output is correct |
5 |
Correct |
184 ms |
19080 KB |
Output is correct |
6 |
Correct |
185 ms |
19284 KB |
Output is correct |
7 |
Correct |
184 ms |
19024 KB |
Output is correct |
8 |
Correct |
184 ms |
19080 KB |
Output is correct |
9 |
Correct |
184 ms |
19080 KB |
Output is correct |
10 |
Correct |
184 ms |
19084 KB |
Output is correct |
11 |
Correct |
184 ms |
19028 KB |
Output is correct |
12 |
Correct |
184 ms |
19280 KB |
Output is correct |
13 |
Correct |
185 ms |
19028 KB |
Output is correct |
14 |
Correct |
184 ms |
19064 KB |
Output is correct |
15 |
Correct |
184 ms |
19284 KB |
Output is correct |
16 |
Correct |
186 ms |
19028 KB |
Output is correct |
17 |
Correct |
184 ms |
19028 KB |
Output is correct |
18 |
Correct |
183 ms |
19064 KB |
Output is correct |
19 |
Correct |
185 ms |
19056 KB |
Output is correct |
20 |
Correct |
183 ms |
19076 KB |
Output is correct |
21 |
Correct |
183 ms |
19084 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
183 ms |
19024 KB |
Output is correct |
2 |
Correct |
184 ms |
19028 KB |
Output is correct |
3 |
Correct |
186 ms |
19068 KB |
Output is correct |
4 |
Correct |
184 ms |
19064 KB |
Output is correct |
5 |
Correct |
184 ms |
19080 KB |
Output is correct |
6 |
Correct |
185 ms |
19284 KB |
Output is correct |
7 |
Correct |
184 ms |
19024 KB |
Output is correct |
8 |
Correct |
184 ms |
19080 KB |
Output is correct |
9 |
Correct |
184 ms |
19080 KB |
Output is correct |
10 |
Correct |
184 ms |
19084 KB |
Output is correct |
11 |
Correct |
184 ms |
19028 KB |
Output is correct |
12 |
Correct |
184 ms |
19280 KB |
Output is correct |
13 |
Correct |
185 ms |
19028 KB |
Output is correct |
14 |
Correct |
184 ms |
19064 KB |
Output is correct |
15 |
Correct |
184 ms |
19284 KB |
Output is correct |
16 |
Correct |
186 ms |
19028 KB |
Output is correct |
17 |
Correct |
184 ms |
19028 KB |
Output is correct |
18 |
Correct |
183 ms |
19064 KB |
Output is correct |
19 |
Correct |
185 ms |
19056 KB |
Output is correct |
20 |
Correct |
183 ms |
19076 KB |
Output is correct |
21 |
Correct |
183 ms |
19084 KB |
Output is correct |
22 |
Correct |
185 ms |
19068 KB |
Output is correct |
23 |
Correct |
184 ms |
19088 KB |
Output is correct |
24 |
Correct |
185 ms |
19080 KB |
Output is correct |
25 |
Correct |
183 ms |
19080 KB |
Output is correct |
26 |
Correct |
185 ms |
19080 KB |
Output is correct |
27 |
Correct |
184 ms |
19080 KB |
Output is correct |
28 |
Correct |
188 ms |
19024 KB |
Output is correct |
29 |
Correct |
185 ms |
19028 KB |
Output is correct |
30 |
Correct |
185 ms |
19280 KB |
Output is correct |
31 |
Correct |
185 ms |
19100 KB |
Output is correct |
32 |
Correct |
186 ms |
19096 KB |
Output is correct |
33 |
Correct |
184 ms |
19028 KB |
Output is correct |
34 |
Correct |
184 ms |
19284 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
183 ms |
19024 KB |
Output is correct |
2 |
Correct |
184 ms |
19028 KB |
Output is correct |
3 |
Correct |
186 ms |
19068 KB |
Output is correct |
4 |
Correct |
184 ms |
19064 KB |
Output is correct |
5 |
Correct |
184 ms |
19080 KB |
Output is correct |
6 |
Correct |
185 ms |
19284 KB |
Output is correct |
7 |
Correct |
184 ms |
19024 KB |
Output is correct |
8 |
Correct |
184 ms |
19080 KB |
Output is correct |
9 |
Correct |
184 ms |
19080 KB |
Output is correct |
10 |
Correct |
184 ms |
19084 KB |
Output is correct |
11 |
Correct |
184 ms |
19028 KB |
Output is correct |
12 |
Correct |
184 ms |
19280 KB |
Output is correct |
13 |
Correct |
185 ms |
19028 KB |
Output is correct |
14 |
Correct |
184 ms |
19064 KB |
Output is correct |
15 |
Correct |
184 ms |
19284 KB |
Output is correct |
16 |
Correct |
186 ms |
19028 KB |
Output is correct |
17 |
Correct |
184 ms |
19028 KB |
Output is correct |
18 |
Correct |
183 ms |
19064 KB |
Output is correct |
19 |
Correct |
185 ms |
19056 KB |
Output is correct |
20 |
Correct |
183 ms |
19076 KB |
Output is correct |
21 |
Correct |
183 ms |
19084 KB |
Output is correct |
22 |
Correct |
185 ms |
19068 KB |
Output is correct |
23 |
Correct |
184 ms |
19088 KB |
Output is correct |
24 |
Correct |
185 ms |
19080 KB |
Output is correct |
25 |
Correct |
183 ms |
19080 KB |
Output is correct |
26 |
Correct |
185 ms |
19080 KB |
Output is correct |
27 |
Correct |
184 ms |
19080 KB |
Output is correct |
28 |
Correct |
188 ms |
19024 KB |
Output is correct |
29 |
Correct |
185 ms |
19028 KB |
Output is correct |
30 |
Correct |
185 ms |
19280 KB |
Output is correct |
31 |
Correct |
185 ms |
19100 KB |
Output is correct |
32 |
Correct |
186 ms |
19096 KB |
Output is correct |
33 |
Correct |
184 ms |
19028 KB |
Output is correct |
34 |
Correct |
184 ms |
19284 KB |
Output is correct |
35 |
Correct |
230 ms |
26448 KB |
Output is correct |
36 |
Correct |
237 ms |
27252 KB |
Output is correct |
37 |
Correct |
235 ms |
27624 KB |
Output is correct |
38 |
Correct |
231 ms |
27504 KB |
Output is correct |
39 |
Correct |
228 ms |
26488 KB |
Output is correct |
40 |
Correct |
236 ms |
27496 KB |
Output is correct |
41 |
Correct |
233 ms |
27476 KB |
Output is correct |
42 |
Correct |
237 ms |
26748 KB |
Output is correct |
43 |
Correct |
228 ms |
26452 KB |
Output is correct |
44 |
Correct |
236 ms |
38768 KB |
Output is correct |
45 |
Correct |
234 ms |
38992 KB |
Output is correct |
46 |
Correct |
233 ms |
38760 KB |
Output is correct |
47 |
Correct |
232 ms |
32336 KB |
Output is correct |
48 |
Correct |
235 ms |
27256 KB |
Output is correct |
49 |
Correct |
233 ms |
27476 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
183 ms |
19024 KB |
Output is correct |
2 |
Correct |
184 ms |
19028 KB |
Output is correct |
3 |
Correct |
186 ms |
19068 KB |
Output is correct |
4 |
Correct |
184 ms |
19064 KB |
Output is correct |
5 |
Correct |
184 ms |
19080 KB |
Output is correct |
6 |
Correct |
185 ms |
19284 KB |
Output is correct |
7 |
Correct |
184 ms |
19024 KB |
Output is correct |
8 |
Correct |
184 ms |
19080 KB |
Output is correct |
9 |
Correct |
184 ms |
19080 KB |
Output is correct |
10 |
Correct |
184 ms |
19084 KB |
Output is correct |
11 |
Correct |
184 ms |
19028 KB |
Output is correct |
12 |
Correct |
184 ms |
19280 KB |
Output is correct |
13 |
Correct |
185 ms |
19028 KB |
Output is correct |
14 |
Correct |
184 ms |
19064 KB |
Output is correct |
15 |
Correct |
184 ms |
19284 KB |
Output is correct |
16 |
Correct |
186 ms |
19028 KB |
Output is correct |
17 |
Correct |
184 ms |
19028 KB |
Output is correct |
18 |
Correct |
183 ms |
19064 KB |
Output is correct |
19 |
Correct |
185 ms |
19056 KB |
Output is correct |
20 |
Correct |
183 ms |
19076 KB |
Output is correct |
21 |
Correct |
183 ms |
19084 KB |
Output is correct |
22 |
Correct |
185 ms |
19068 KB |
Output is correct |
23 |
Correct |
184 ms |
19088 KB |
Output is correct |
24 |
Correct |
185 ms |
19080 KB |
Output is correct |
25 |
Correct |
183 ms |
19080 KB |
Output is correct |
26 |
Correct |
185 ms |
19080 KB |
Output is correct |
27 |
Correct |
184 ms |
19080 KB |
Output is correct |
28 |
Correct |
188 ms |
19024 KB |
Output is correct |
29 |
Correct |
185 ms |
19028 KB |
Output is correct |
30 |
Correct |
185 ms |
19280 KB |
Output is correct |
31 |
Correct |
185 ms |
19100 KB |
Output is correct |
32 |
Correct |
186 ms |
19096 KB |
Output is correct |
33 |
Correct |
184 ms |
19028 KB |
Output is correct |
34 |
Correct |
184 ms |
19284 KB |
Output is correct |
35 |
Correct |
230 ms |
26448 KB |
Output is correct |
36 |
Correct |
237 ms |
27252 KB |
Output is correct |
37 |
Correct |
235 ms |
27624 KB |
Output is correct |
38 |
Correct |
231 ms |
27504 KB |
Output is correct |
39 |
Correct |
228 ms |
26488 KB |
Output is correct |
40 |
Correct |
236 ms |
27496 KB |
Output is correct |
41 |
Correct |
233 ms |
27476 KB |
Output is correct |
42 |
Correct |
237 ms |
26748 KB |
Output is correct |
43 |
Correct |
228 ms |
26452 KB |
Output is correct |
44 |
Correct |
236 ms |
38768 KB |
Output is correct |
45 |
Correct |
234 ms |
38992 KB |
Output is correct |
46 |
Correct |
233 ms |
38760 KB |
Output is correct |
47 |
Correct |
232 ms |
32336 KB |
Output is correct |
48 |
Correct |
235 ms |
27256 KB |
Output is correct |
49 |
Correct |
233 ms |
27476 KB |
Output is correct |
50 |
Correct |
251 ms |
28776 KB |
Output is correct |
51 |
Correct |
242 ms |
28756 KB |
Output is correct |
52 |
Correct |
242 ms |
28756 KB |
Output is correct |
53 |
Correct |
265 ms |
29008 KB |
Output is correct |
54 |
Correct |
244 ms |
28792 KB |
Output is correct |
55 |
Correct |
243 ms |
28752 KB |
Output is correct |
56 |
Correct |
243 ms |
28652 KB |
Output is correct |
57 |
Correct |
249 ms |
27732 KB |
Output is correct |
58 |
Correct |
243 ms |
28764 KB |
Output is correct |
59 |
Correct |
246 ms |
28772 KB |
Output is correct |
60 |
Correct |
249 ms |
27732 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
183 ms |
19024 KB |
Output is correct |
2 |
Correct |
184 ms |
19028 KB |
Output is correct |
3 |
Correct |
186 ms |
19068 KB |
Output is correct |
4 |
Correct |
184 ms |
19064 KB |
Output is correct |
5 |
Correct |
184 ms |
19080 KB |
Output is correct |
6 |
Correct |
185 ms |
19284 KB |
Output is correct |
7 |
Correct |
184 ms |
19024 KB |
Output is correct |
8 |
Correct |
184 ms |
19080 KB |
Output is correct |
9 |
Correct |
184 ms |
19080 KB |
Output is correct |
10 |
Correct |
184 ms |
19084 KB |
Output is correct |
11 |
Correct |
184 ms |
19028 KB |
Output is correct |
12 |
Correct |
184 ms |
19280 KB |
Output is correct |
13 |
Correct |
185 ms |
19028 KB |
Output is correct |
14 |
Correct |
184 ms |
19064 KB |
Output is correct |
15 |
Correct |
184 ms |
19284 KB |
Output is correct |
16 |
Correct |
186 ms |
19028 KB |
Output is correct |
17 |
Correct |
184 ms |
19028 KB |
Output is correct |
18 |
Correct |
183 ms |
19064 KB |
Output is correct |
19 |
Correct |
185 ms |
19056 KB |
Output is correct |
20 |
Correct |
183 ms |
19076 KB |
Output is correct |
21 |
Correct |
183 ms |
19084 KB |
Output is correct |
22 |
Correct |
185 ms |
19068 KB |
Output is correct |
23 |
Correct |
184 ms |
19088 KB |
Output is correct |
24 |
Correct |
185 ms |
19080 KB |
Output is correct |
25 |
Correct |
183 ms |
19080 KB |
Output is correct |
26 |
Correct |
185 ms |
19080 KB |
Output is correct |
27 |
Correct |
184 ms |
19080 KB |
Output is correct |
28 |
Correct |
188 ms |
19024 KB |
Output is correct |
29 |
Correct |
185 ms |
19028 KB |
Output is correct |
30 |
Correct |
185 ms |
19280 KB |
Output is correct |
31 |
Correct |
185 ms |
19100 KB |
Output is correct |
32 |
Correct |
186 ms |
19096 KB |
Output is correct |
33 |
Correct |
184 ms |
19028 KB |
Output is correct |
34 |
Correct |
184 ms |
19284 KB |
Output is correct |
35 |
Correct |
230 ms |
26448 KB |
Output is correct |
36 |
Correct |
237 ms |
27252 KB |
Output is correct |
37 |
Correct |
235 ms |
27624 KB |
Output is correct |
38 |
Correct |
231 ms |
27504 KB |
Output is correct |
39 |
Correct |
228 ms |
26488 KB |
Output is correct |
40 |
Correct |
236 ms |
27496 KB |
Output is correct |
41 |
Correct |
233 ms |
27476 KB |
Output is correct |
42 |
Correct |
237 ms |
26748 KB |
Output is correct |
43 |
Correct |
228 ms |
26452 KB |
Output is correct |
44 |
Correct |
236 ms |
38768 KB |
Output is correct |
45 |
Correct |
234 ms |
38992 KB |
Output is correct |
46 |
Correct |
233 ms |
38760 KB |
Output is correct |
47 |
Correct |
232 ms |
32336 KB |
Output is correct |
48 |
Correct |
235 ms |
27256 KB |
Output is correct |
49 |
Correct |
233 ms |
27476 KB |
Output is correct |
50 |
Correct |
251 ms |
28776 KB |
Output is correct |
51 |
Correct |
242 ms |
28756 KB |
Output is correct |
52 |
Correct |
242 ms |
28756 KB |
Output is correct |
53 |
Correct |
265 ms |
29008 KB |
Output is correct |
54 |
Correct |
244 ms |
28792 KB |
Output is correct |
55 |
Correct |
243 ms |
28752 KB |
Output is correct |
56 |
Correct |
243 ms |
28652 KB |
Output is correct |
57 |
Correct |
249 ms |
27732 KB |
Output is correct |
58 |
Correct |
243 ms |
28764 KB |
Output is correct |
59 |
Correct |
246 ms |
28772 KB |
Output is correct |
60 |
Correct |
249 ms |
27732 KB |
Output is correct |
61 |
Correct |
187 ms |
22352 KB |
Output is correct |
62 |
Correct |
191 ms |
21840 KB |
Output is correct |
63 |
Correct |
187 ms |
21844 KB |
Output is correct |
64 |
Correct |
186 ms |
22100 KB |
Output is correct |
65 |
Correct |
218 ms |
27216 KB |
Output is correct |
66 |
Correct |
208 ms |
26212 KB |
Output is correct |
67 |
Correct |
241 ms |
29540 KB |
Output is correct |
68 |
Correct |
190 ms |
22124 KB |
Output is correct |
69 |
Correct |
186 ms |
21872 KB |
Output is correct |
70 |
Correct |
190 ms |
22096 KB |
Output is correct |
71 |
Correct |
187 ms |
21840 KB |
Output is correct |