#include<bits/stdc++.h>
#define int long long
using namespace std;
const int N=1e6+1,mod=1e6+3;
int fac[N+1],ifac[N+1],a[N+1];
int pxp(int x,int p)
{
if(!p) return 1;
if(p&1) return (x*pxp(x,p-1)%mod)%mod;
int ret=pxp(x,p/2);
return (ret*ret)%mod;
}
signed main()
{
ios::sync_with_stdio(0); cin.tie(0);
fac[0]=1;
for(int i=1;i<N;i++) fac[i]=(fac[i-1]*i)%mod;
ifac[N-1]=pxp(fac[N-1],mod-2);
for(int i=N-2;i>=0;i--) ifac[i]=(ifac[i+1]*(i+1))%mod;
int n,k; cin>>n>>k;
int b[n-k+1]; for(int i=0;i<n-k+1;i++) cin>>b[i];
memset(a,-1,sizeof a);
bool f=false;
for(int i=0;i<n-k;i++){
if(a[i]==-1){
if(b[i]>b[i+1]) a[i]=1,a[i+k]=0;
else if(b[i]<b[i+1]) a[i]=0,a[i+k]=1;
}
else if(a[i]==1){
if(b[i]==b[i+1]) a[i+k]=a[i];
else if(b[i]>b[i+1]) a[i+k]=0;
else f=true;
}
else {
if(b[i]==b[i+1]) a[i+k]=a[i];
else if(b[i]<b[i+1]) a[i+k]=1;
else f=true;
}
}
for(int i=n-k-1;i>=0;i--){
if(a[i+k]==1){
if(b[i]==b[i+1]) a[i]=1;
else if(b[i]<b[i+1]) a[i]=0;
}
else if(a[i+k]==0){
if(b[i]==b[i+1]) a[i]=0;
else if(b[i]<b[i+1]) a[i]=1;
}
}
int s=0;
for(int i=0;i<k;i++){
if(a[i]==-1) s++;
else if(a[i]) b[0]--;
}
if(f) { cout<<0<<endl; return 0; }
if(s==b[0]) { cout<<1<<endl; return 0; }
if(s<b[0]) { cout<<0<<endl; return 0; }
int x=ifac[b[0]]*ifac[s-b[0]];
x*=fac[s];
cout<<x%mod<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
23896 KB |
Output is correct |
2 |
Correct |
18 ms |
23900 KB |
Output is correct |
3 |
Correct |
18 ms |
23892 KB |
Output is correct |
4 |
Correct |
18 ms |
23748 KB |
Output is correct |
5 |
Correct |
18 ms |
23900 KB |
Output is correct |
6 |
Correct |
18 ms |
23900 KB |
Output is correct |
7 |
Correct |
18 ms |
23724 KB |
Output is correct |
8 |
Correct |
18 ms |
23764 KB |
Output is correct |
9 |
Correct |
18 ms |
23900 KB |
Output is correct |
10 |
Correct |
19 ms |
23888 KB |
Output is correct |
11 |
Correct |
18 ms |
23900 KB |
Output is correct |
12 |
Correct |
18 ms |
23900 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
23896 KB |
Output is correct |
2 |
Correct |
18 ms |
23900 KB |
Output is correct |
3 |
Correct |
18 ms |
23892 KB |
Output is correct |
4 |
Correct |
18 ms |
23748 KB |
Output is correct |
5 |
Correct |
18 ms |
23900 KB |
Output is correct |
6 |
Correct |
18 ms |
23900 KB |
Output is correct |
7 |
Correct |
18 ms |
23724 KB |
Output is correct |
8 |
Correct |
18 ms |
23764 KB |
Output is correct |
9 |
Correct |
18 ms |
23900 KB |
Output is correct |
10 |
Correct |
19 ms |
23888 KB |
Output is correct |
11 |
Correct |
18 ms |
23900 KB |
Output is correct |
12 |
Correct |
18 ms |
23900 KB |
Output is correct |
13 |
Correct |
18 ms |
23900 KB |
Output is correct |
14 |
Correct |
18 ms |
23900 KB |
Output is correct |
15 |
Correct |
18 ms |
23900 KB |
Output is correct |
16 |
Correct |
18 ms |
23748 KB |
Output is correct |
17 |
Correct |
18 ms |
23900 KB |
Output is correct |
18 |
Correct |
21 ms |
23892 KB |
Output is correct |
19 |
Correct |
18 ms |
23896 KB |
Output is correct |
20 |
Correct |
18 ms |
23900 KB |
Output is correct |
21 |
Correct |
18 ms |
23900 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
23896 KB |
Output is correct |
2 |
Correct |
18 ms |
23900 KB |
Output is correct |
3 |
Correct |
18 ms |
23892 KB |
Output is correct |
4 |
Correct |
18 ms |
23748 KB |
Output is correct |
5 |
Correct |
18 ms |
23900 KB |
Output is correct |
6 |
Correct |
18 ms |
23900 KB |
Output is correct |
7 |
Correct |
18 ms |
23724 KB |
Output is correct |
8 |
Correct |
18 ms |
23764 KB |
Output is correct |
9 |
Correct |
18 ms |
23900 KB |
Output is correct |
10 |
Correct |
19 ms |
23888 KB |
Output is correct |
11 |
Correct |
18 ms |
23900 KB |
Output is correct |
12 |
Correct |
18 ms |
23900 KB |
Output is correct |
13 |
Correct |
18 ms |
23900 KB |
Output is correct |
14 |
Correct |
18 ms |
23900 KB |
Output is correct |
15 |
Correct |
18 ms |
23900 KB |
Output is correct |
16 |
Correct |
18 ms |
23748 KB |
Output is correct |
17 |
Correct |
18 ms |
23900 KB |
Output is correct |
18 |
Correct |
21 ms |
23892 KB |
Output is correct |
19 |
Correct |
18 ms |
23896 KB |
Output is correct |
20 |
Correct |
18 ms |
23900 KB |
Output is correct |
21 |
Correct |
18 ms |
23900 KB |
Output is correct |
22 |
Correct |
19 ms |
23900 KB |
Output is correct |
23 |
Correct |
18 ms |
23896 KB |
Output is correct |
24 |
Correct |
18 ms |
23900 KB |
Output is correct |
25 |
Correct |
18 ms |
23936 KB |
Output is correct |
26 |
Correct |
18 ms |
23896 KB |
Output is correct |
27 |
Correct |
18 ms |
23900 KB |
Output is correct |
28 |
Correct |
18 ms |
23896 KB |
Output is correct |
29 |
Correct |
18 ms |
23900 KB |
Output is correct |
30 |
Correct |
18 ms |
23888 KB |
Output is correct |
31 |
Correct |
18 ms |
23896 KB |
Output is correct |
32 |
Correct |
18 ms |
23900 KB |
Output is correct |
33 |
Correct |
18 ms |
23764 KB |
Output is correct |
34 |
Correct |
18 ms |
23920 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
23896 KB |
Output is correct |
2 |
Correct |
18 ms |
23900 KB |
Output is correct |
3 |
Correct |
18 ms |
23892 KB |
Output is correct |
4 |
Correct |
18 ms |
23748 KB |
Output is correct |
5 |
Correct |
18 ms |
23900 KB |
Output is correct |
6 |
Correct |
18 ms |
23900 KB |
Output is correct |
7 |
Correct |
18 ms |
23724 KB |
Output is correct |
8 |
Correct |
18 ms |
23764 KB |
Output is correct |
9 |
Correct |
18 ms |
23900 KB |
Output is correct |
10 |
Correct |
19 ms |
23888 KB |
Output is correct |
11 |
Correct |
18 ms |
23900 KB |
Output is correct |
12 |
Correct |
18 ms |
23900 KB |
Output is correct |
13 |
Correct |
18 ms |
23900 KB |
Output is correct |
14 |
Correct |
18 ms |
23900 KB |
Output is correct |
15 |
Correct |
18 ms |
23900 KB |
Output is correct |
16 |
Correct |
18 ms |
23748 KB |
Output is correct |
17 |
Correct |
18 ms |
23900 KB |
Output is correct |
18 |
Correct |
21 ms |
23892 KB |
Output is correct |
19 |
Correct |
18 ms |
23896 KB |
Output is correct |
20 |
Correct |
18 ms |
23900 KB |
Output is correct |
21 |
Correct |
18 ms |
23900 KB |
Output is correct |
22 |
Correct |
19 ms |
23900 KB |
Output is correct |
23 |
Correct |
18 ms |
23896 KB |
Output is correct |
24 |
Correct |
18 ms |
23900 KB |
Output is correct |
25 |
Correct |
18 ms |
23936 KB |
Output is correct |
26 |
Correct |
18 ms |
23896 KB |
Output is correct |
27 |
Correct |
18 ms |
23900 KB |
Output is correct |
28 |
Correct |
18 ms |
23896 KB |
Output is correct |
29 |
Correct |
18 ms |
23900 KB |
Output is correct |
30 |
Correct |
18 ms |
23888 KB |
Output is correct |
31 |
Correct |
18 ms |
23896 KB |
Output is correct |
32 |
Correct |
18 ms |
23900 KB |
Output is correct |
33 |
Correct |
18 ms |
23764 KB |
Output is correct |
34 |
Correct |
18 ms |
23920 KB |
Output is correct |
35 |
Correct |
65 ms |
33696 KB |
Output is correct |
36 |
Correct |
75 ms |
34128 KB |
Output is correct |
37 |
Correct |
69 ms |
34632 KB |
Output is correct |
38 |
Correct |
67 ms |
34644 KB |
Output is correct |
39 |
Correct |
65 ms |
33620 KB |
Output is correct |
40 |
Correct |
70 ms |
34612 KB |
Output is correct |
41 |
Correct |
70 ms |
34496 KB |
Output is correct |
42 |
Correct |
63 ms |
33620 KB |
Output is correct |
43 |
Correct |
68 ms |
33616 KB |
Output is correct |
44 |
Correct |
61 ms |
33616 KB |
Output is correct |
45 |
Correct |
61 ms |
33620 KB |
Output is correct |
46 |
Correct |
61 ms |
33616 KB |
Output is correct |
47 |
Correct |
63 ms |
33616 KB |
Output is correct |
48 |
Correct |
66 ms |
34640 KB |
Output is correct |
49 |
Correct |
66 ms |
34644 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
23896 KB |
Output is correct |
2 |
Correct |
18 ms |
23900 KB |
Output is correct |
3 |
Correct |
18 ms |
23892 KB |
Output is correct |
4 |
Correct |
18 ms |
23748 KB |
Output is correct |
5 |
Correct |
18 ms |
23900 KB |
Output is correct |
6 |
Correct |
18 ms |
23900 KB |
Output is correct |
7 |
Correct |
18 ms |
23724 KB |
Output is correct |
8 |
Correct |
18 ms |
23764 KB |
Output is correct |
9 |
Correct |
18 ms |
23900 KB |
Output is correct |
10 |
Correct |
19 ms |
23888 KB |
Output is correct |
11 |
Correct |
18 ms |
23900 KB |
Output is correct |
12 |
Correct |
18 ms |
23900 KB |
Output is correct |
13 |
Correct |
18 ms |
23900 KB |
Output is correct |
14 |
Correct |
18 ms |
23900 KB |
Output is correct |
15 |
Correct |
18 ms |
23900 KB |
Output is correct |
16 |
Correct |
18 ms |
23748 KB |
Output is correct |
17 |
Correct |
18 ms |
23900 KB |
Output is correct |
18 |
Correct |
21 ms |
23892 KB |
Output is correct |
19 |
Correct |
18 ms |
23896 KB |
Output is correct |
20 |
Correct |
18 ms |
23900 KB |
Output is correct |
21 |
Correct |
18 ms |
23900 KB |
Output is correct |
22 |
Correct |
19 ms |
23900 KB |
Output is correct |
23 |
Correct |
18 ms |
23896 KB |
Output is correct |
24 |
Correct |
18 ms |
23900 KB |
Output is correct |
25 |
Correct |
18 ms |
23936 KB |
Output is correct |
26 |
Correct |
18 ms |
23896 KB |
Output is correct |
27 |
Correct |
18 ms |
23900 KB |
Output is correct |
28 |
Correct |
18 ms |
23896 KB |
Output is correct |
29 |
Correct |
18 ms |
23900 KB |
Output is correct |
30 |
Correct |
18 ms |
23888 KB |
Output is correct |
31 |
Correct |
18 ms |
23896 KB |
Output is correct |
32 |
Correct |
18 ms |
23900 KB |
Output is correct |
33 |
Correct |
18 ms |
23764 KB |
Output is correct |
34 |
Correct |
18 ms |
23920 KB |
Output is correct |
35 |
Correct |
65 ms |
33696 KB |
Output is correct |
36 |
Correct |
75 ms |
34128 KB |
Output is correct |
37 |
Correct |
69 ms |
34632 KB |
Output is correct |
38 |
Correct |
67 ms |
34644 KB |
Output is correct |
39 |
Correct |
65 ms |
33620 KB |
Output is correct |
40 |
Correct |
70 ms |
34612 KB |
Output is correct |
41 |
Correct |
70 ms |
34496 KB |
Output is correct |
42 |
Correct |
63 ms |
33620 KB |
Output is correct |
43 |
Correct |
68 ms |
33616 KB |
Output is correct |
44 |
Correct |
61 ms |
33616 KB |
Output is correct |
45 |
Correct |
61 ms |
33620 KB |
Output is correct |
46 |
Correct |
61 ms |
33616 KB |
Output is correct |
47 |
Correct |
63 ms |
33616 KB |
Output is correct |
48 |
Correct |
66 ms |
34640 KB |
Output is correct |
49 |
Correct |
66 ms |
34644 KB |
Output is correct |
50 |
Correct |
76 ms |
36556 KB |
Output is correct |
51 |
Correct |
81 ms |
36376 KB |
Output is correct |
52 |
Correct |
83 ms |
36436 KB |
Output is correct |
53 |
Correct |
87 ms |
36380 KB |
Output is correct |
54 |
Correct |
78 ms |
36432 KB |
Output is correct |
55 |
Correct |
76 ms |
36552 KB |
Output is correct |
56 |
Correct |
77 ms |
36380 KB |
Output is correct |
57 |
Correct |
81 ms |
35608 KB |
Output is correct |
58 |
Correct |
84 ms |
36436 KB |
Output is correct |
59 |
Correct |
76 ms |
36444 KB |
Output is correct |
60 |
Correct |
80 ms |
35876 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
23896 KB |
Output is correct |
2 |
Correct |
18 ms |
23900 KB |
Output is correct |
3 |
Correct |
18 ms |
23892 KB |
Output is correct |
4 |
Correct |
18 ms |
23748 KB |
Output is correct |
5 |
Correct |
18 ms |
23900 KB |
Output is correct |
6 |
Correct |
18 ms |
23900 KB |
Output is correct |
7 |
Correct |
18 ms |
23724 KB |
Output is correct |
8 |
Correct |
18 ms |
23764 KB |
Output is correct |
9 |
Correct |
18 ms |
23900 KB |
Output is correct |
10 |
Correct |
19 ms |
23888 KB |
Output is correct |
11 |
Correct |
18 ms |
23900 KB |
Output is correct |
12 |
Correct |
18 ms |
23900 KB |
Output is correct |
13 |
Correct |
18 ms |
23900 KB |
Output is correct |
14 |
Correct |
18 ms |
23900 KB |
Output is correct |
15 |
Correct |
18 ms |
23900 KB |
Output is correct |
16 |
Correct |
18 ms |
23748 KB |
Output is correct |
17 |
Correct |
18 ms |
23900 KB |
Output is correct |
18 |
Correct |
21 ms |
23892 KB |
Output is correct |
19 |
Correct |
18 ms |
23896 KB |
Output is correct |
20 |
Correct |
18 ms |
23900 KB |
Output is correct |
21 |
Correct |
18 ms |
23900 KB |
Output is correct |
22 |
Correct |
19 ms |
23900 KB |
Output is correct |
23 |
Correct |
18 ms |
23896 KB |
Output is correct |
24 |
Correct |
18 ms |
23900 KB |
Output is correct |
25 |
Correct |
18 ms |
23936 KB |
Output is correct |
26 |
Correct |
18 ms |
23896 KB |
Output is correct |
27 |
Correct |
18 ms |
23900 KB |
Output is correct |
28 |
Correct |
18 ms |
23896 KB |
Output is correct |
29 |
Correct |
18 ms |
23900 KB |
Output is correct |
30 |
Correct |
18 ms |
23888 KB |
Output is correct |
31 |
Correct |
18 ms |
23896 KB |
Output is correct |
32 |
Correct |
18 ms |
23900 KB |
Output is correct |
33 |
Correct |
18 ms |
23764 KB |
Output is correct |
34 |
Correct |
18 ms |
23920 KB |
Output is correct |
35 |
Correct |
65 ms |
33696 KB |
Output is correct |
36 |
Correct |
75 ms |
34128 KB |
Output is correct |
37 |
Correct |
69 ms |
34632 KB |
Output is correct |
38 |
Correct |
67 ms |
34644 KB |
Output is correct |
39 |
Correct |
65 ms |
33620 KB |
Output is correct |
40 |
Correct |
70 ms |
34612 KB |
Output is correct |
41 |
Correct |
70 ms |
34496 KB |
Output is correct |
42 |
Correct |
63 ms |
33620 KB |
Output is correct |
43 |
Correct |
68 ms |
33616 KB |
Output is correct |
44 |
Correct |
61 ms |
33616 KB |
Output is correct |
45 |
Correct |
61 ms |
33620 KB |
Output is correct |
46 |
Correct |
61 ms |
33616 KB |
Output is correct |
47 |
Correct |
63 ms |
33616 KB |
Output is correct |
48 |
Correct |
66 ms |
34640 KB |
Output is correct |
49 |
Correct |
66 ms |
34644 KB |
Output is correct |
50 |
Correct |
76 ms |
36556 KB |
Output is correct |
51 |
Correct |
81 ms |
36376 KB |
Output is correct |
52 |
Correct |
83 ms |
36436 KB |
Output is correct |
53 |
Correct |
87 ms |
36380 KB |
Output is correct |
54 |
Correct |
78 ms |
36432 KB |
Output is correct |
55 |
Correct |
76 ms |
36552 KB |
Output is correct |
56 |
Correct |
77 ms |
36380 KB |
Output is correct |
57 |
Correct |
81 ms |
35608 KB |
Output is correct |
58 |
Correct |
84 ms |
36436 KB |
Output is correct |
59 |
Correct |
76 ms |
36444 KB |
Output is correct |
60 |
Correct |
80 ms |
35876 KB |
Output is correct |
61 |
Correct |
20 ms |
23900 KB |
Output is correct |
62 |
Correct |
19 ms |
23900 KB |
Output is correct |
63 |
Correct |
19 ms |
23900 KB |
Output is correct |
64 |
Correct |
19 ms |
23900 KB |
Output is correct |
65 |
Correct |
53 ms |
31096 KB |
Output is correct |
66 |
Correct |
43 ms |
28856 KB |
Output is correct |
67 |
Correct |
81 ms |
35412 KB |
Output is correct |
68 |
Correct |
25 ms |
24912 KB |
Output is correct |
69 |
Correct |
19 ms |
23896 KB |
Output is correct |
70 |
Correct |
19 ms |
23900 KB |
Output is correct |
71 |
Correct |
20 ms |
23900 KB |
Output is correct |