#include <bits/stdc++.h>
using namespace std;
#define all(x) x.begin(),x.end()
#define ll long long
#define LCBorz ios_base::sync_with_stdio(false);cin.tie(0);
const int N=1000005;
const int mod=1e6+3;
vector<ll> fac(N),inv(N);
ll pw(ll a,int b){
ll ans=1;
while(b>0){
if(b&1)ans=ans*a%mod;
b>>=1;
a=a*a%mod;
}
return ans;
}
int32_t main(){
LCBorz;
fac[0]=inv[0]=1;
for(int i=1;i<N;i++){
fac[i]=fac[i-1]*i%mod;
inv[i]=pw(fac[i],mod-2);
}
int n,m;cin>>n>>m;
int p=n-m+1;
vector<int> v(p);
for(int i=0;i<p;i++){
cin>>v[i];
if(v[i]>m){
cout<<0<<endl;
return 0;
}
}
vector<int> ans(n,-1);
auto upd=[&](int i,int j){
if(ans[i]==-1){
ans[i]=j;
}
else if(ans[i]!=j){
cout<<0<<endl;
exit(0);
}
};
vector<int> adj[N];
auto dfs=[&](auto dfs1,int k,int pa,int val)->void {
upd(k,val);
for(int j:adj[k]){
if(j==pa)continue;
dfs1(dfs1,j,k,val);
}
};
for(int i=0;i<p-1;i++){
if(abs(v[i]-v[i+1])>1){
cout<<0<<endl;
return 0;
}
if(v[i]==v[i+1]+1){
upd(i,1);
upd(i+m,0);
}
else if(v[i]==v[i+1]-1){
upd(i,0);
upd(i+m,1);
}
else{
adj[i].push_back(i+m);
adj[i+m].push_back(i);
}
}
for(int i=0;i<n;i++){
if(ans[i]!=-1){
dfs(dfs,i,i,ans[i]);
}
}
int a=0,b=v[0];
for(int i=0;i<m;i++){
if(ans[i]==-1){
a++;
}
if(ans[i]==1){
b--;
}
}
if(b>a||b<0){
cout<<0<<endl;
return 0;
}
cout<<fac[a]*inv[b]%mod*inv[a-b]%mod<<endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
115 ms |
39768 KB |
Output is correct |
2 |
Correct |
107 ms |
39584 KB |
Output is correct |
3 |
Correct |
107 ms |
39580 KB |
Output is correct |
4 |
Correct |
105 ms |
39840 KB |
Output is correct |
5 |
Correct |
107 ms |
39588 KB |
Output is correct |
6 |
Correct |
110 ms |
39584 KB |
Output is correct |
7 |
Correct |
107 ms |
39580 KB |
Output is correct |
8 |
Correct |
112 ms |
39516 KB |
Output is correct |
9 |
Correct |
109 ms |
39584 KB |
Output is correct |
10 |
Correct |
107 ms |
39588 KB |
Output is correct |
11 |
Correct |
109 ms |
39576 KB |
Output is correct |
12 |
Correct |
108 ms |
39588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
115 ms |
39768 KB |
Output is correct |
2 |
Correct |
107 ms |
39584 KB |
Output is correct |
3 |
Correct |
107 ms |
39580 KB |
Output is correct |
4 |
Correct |
105 ms |
39840 KB |
Output is correct |
5 |
Correct |
107 ms |
39588 KB |
Output is correct |
6 |
Correct |
110 ms |
39584 KB |
Output is correct |
7 |
Correct |
107 ms |
39580 KB |
Output is correct |
8 |
Correct |
112 ms |
39516 KB |
Output is correct |
9 |
Correct |
109 ms |
39584 KB |
Output is correct |
10 |
Correct |
107 ms |
39588 KB |
Output is correct |
11 |
Correct |
109 ms |
39576 KB |
Output is correct |
12 |
Correct |
108 ms |
39588 KB |
Output is correct |
13 |
Correct |
108 ms |
39528 KB |
Output is correct |
14 |
Correct |
107 ms |
39516 KB |
Output is correct |
15 |
Correct |
106 ms |
39576 KB |
Output is correct |
16 |
Correct |
109 ms |
39576 KB |
Output is correct |
17 |
Correct |
107 ms |
39516 KB |
Output is correct |
18 |
Correct |
107 ms |
39572 KB |
Output is correct |
19 |
Correct |
109 ms |
39588 KB |
Output is correct |
20 |
Correct |
110 ms |
39588 KB |
Output is correct |
21 |
Correct |
108 ms |
39372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
115 ms |
39768 KB |
Output is correct |
2 |
Correct |
107 ms |
39584 KB |
Output is correct |
3 |
Correct |
107 ms |
39580 KB |
Output is correct |
4 |
Correct |
105 ms |
39840 KB |
Output is correct |
5 |
Correct |
107 ms |
39588 KB |
Output is correct |
6 |
Correct |
110 ms |
39584 KB |
Output is correct |
7 |
Correct |
107 ms |
39580 KB |
Output is correct |
8 |
Correct |
112 ms |
39516 KB |
Output is correct |
9 |
Correct |
109 ms |
39584 KB |
Output is correct |
10 |
Correct |
107 ms |
39588 KB |
Output is correct |
11 |
Correct |
109 ms |
39576 KB |
Output is correct |
12 |
Correct |
108 ms |
39588 KB |
Output is correct |
13 |
Correct |
108 ms |
39528 KB |
Output is correct |
14 |
Correct |
107 ms |
39516 KB |
Output is correct |
15 |
Correct |
106 ms |
39576 KB |
Output is correct |
16 |
Correct |
109 ms |
39576 KB |
Output is correct |
17 |
Correct |
107 ms |
39516 KB |
Output is correct |
18 |
Correct |
107 ms |
39572 KB |
Output is correct |
19 |
Correct |
109 ms |
39588 KB |
Output is correct |
20 |
Correct |
110 ms |
39588 KB |
Output is correct |
21 |
Correct |
108 ms |
39372 KB |
Output is correct |
22 |
Correct |
106 ms |
39596 KB |
Output is correct |
23 |
Correct |
112 ms |
39592 KB |
Output is correct |
24 |
Correct |
107 ms |
39596 KB |
Output is correct |
25 |
Correct |
110 ms |
39528 KB |
Output is correct |
26 |
Correct |
109 ms |
39644 KB |
Output is correct |
27 |
Correct |
106 ms |
39596 KB |
Output is correct |
28 |
Correct |
108 ms |
39604 KB |
Output is correct |
29 |
Correct |
110 ms |
39612 KB |
Output is correct |
30 |
Correct |
106 ms |
39516 KB |
Output is correct |
31 |
Correct |
107 ms |
39512 KB |
Output is correct |
32 |
Correct |
108 ms |
39584 KB |
Output is correct |
33 |
Correct |
107 ms |
39600 KB |
Output is correct |
34 |
Correct |
110 ms |
39516 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
115 ms |
39768 KB |
Output is correct |
2 |
Correct |
107 ms |
39584 KB |
Output is correct |
3 |
Correct |
107 ms |
39580 KB |
Output is correct |
4 |
Correct |
105 ms |
39840 KB |
Output is correct |
5 |
Correct |
107 ms |
39588 KB |
Output is correct |
6 |
Correct |
110 ms |
39584 KB |
Output is correct |
7 |
Correct |
107 ms |
39580 KB |
Output is correct |
8 |
Correct |
112 ms |
39516 KB |
Output is correct |
9 |
Correct |
109 ms |
39584 KB |
Output is correct |
10 |
Correct |
107 ms |
39588 KB |
Output is correct |
11 |
Correct |
109 ms |
39576 KB |
Output is correct |
12 |
Correct |
108 ms |
39588 KB |
Output is correct |
13 |
Correct |
108 ms |
39528 KB |
Output is correct |
14 |
Correct |
107 ms |
39516 KB |
Output is correct |
15 |
Correct |
106 ms |
39576 KB |
Output is correct |
16 |
Correct |
109 ms |
39576 KB |
Output is correct |
17 |
Correct |
107 ms |
39516 KB |
Output is correct |
18 |
Correct |
107 ms |
39572 KB |
Output is correct |
19 |
Correct |
109 ms |
39588 KB |
Output is correct |
20 |
Correct |
110 ms |
39588 KB |
Output is correct |
21 |
Correct |
108 ms |
39372 KB |
Output is correct |
22 |
Correct |
106 ms |
39596 KB |
Output is correct |
23 |
Correct |
112 ms |
39592 KB |
Output is correct |
24 |
Correct |
107 ms |
39596 KB |
Output is correct |
25 |
Correct |
110 ms |
39528 KB |
Output is correct |
26 |
Correct |
109 ms |
39644 KB |
Output is correct |
27 |
Correct |
106 ms |
39596 KB |
Output is correct |
28 |
Correct |
108 ms |
39604 KB |
Output is correct |
29 |
Correct |
110 ms |
39612 KB |
Output is correct |
30 |
Correct |
106 ms |
39516 KB |
Output is correct |
31 |
Correct |
107 ms |
39512 KB |
Output is correct |
32 |
Correct |
108 ms |
39584 KB |
Output is correct |
33 |
Correct |
107 ms |
39600 KB |
Output is correct |
34 |
Correct |
110 ms |
39516 KB |
Output is correct |
35 |
Correct |
216 ms |
79772 KB |
Output is correct |
36 |
Execution timed out |
1086 ms |
79188 KB |
Time limit exceeded |
37 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
115 ms |
39768 KB |
Output is correct |
2 |
Correct |
107 ms |
39584 KB |
Output is correct |
3 |
Correct |
107 ms |
39580 KB |
Output is correct |
4 |
Correct |
105 ms |
39840 KB |
Output is correct |
5 |
Correct |
107 ms |
39588 KB |
Output is correct |
6 |
Correct |
110 ms |
39584 KB |
Output is correct |
7 |
Correct |
107 ms |
39580 KB |
Output is correct |
8 |
Correct |
112 ms |
39516 KB |
Output is correct |
9 |
Correct |
109 ms |
39584 KB |
Output is correct |
10 |
Correct |
107 ms |
39588 KB |
Output is correct |
11 |
Correct |
109 ms |
39576 KB |
Output is correct |
12 |
Correct |
108 ms |
39588 KB |
Output is correct |
13 |
Correct |
108 ms |
39528 KB |
Output is correct |
14 |
Correct |
107 ms |
39516 KB |
Output is correct |
15 |
Correct |
106 ms |
39576 KB |
Output is correct |
16 |
Correct |
109 ms |
39576 KB |
Output is correct |
17 |
Correct |
107 ms |
39516 KB |
Output is correct |
18 |
Correct |
107 ms |
39572 KB |
Output is correct |
19 |
Correct |
109 ms |
39588 KB |
Output is correct |
20 |
Correct |
110 ms |
39588 KB |
Output is correct |
21 |
Correct |
108 ms |
39372 KB |
Output is correct |
22 |
Correct |
106 ms |
39596 KB |
Output is correct |
23 |
Correct |
112 ms |
39592 KB |
Output is correct |
24 |
Correct |
107 ms |
39596 KB |
Output is correct |
25 |
Correct |
110 ms |
39528 KB |
Output is correct |
26 |
Correct |
109 ms |
39644 KB |
Output is correct |
27 |
Correct |
106 ms |
39596 KB |
Output is correct |
28 |
Correct |
108 ms |
39604 KB |
Output is correct |
29 |
Correct |
110 ms |
39612 KB |
Output is correct |
30 |
Correct |
106 ms |
39516 KB |
Output is correct |
31 |
Correct |
107 ms |
39512 KB |
Output is correct |
32 |
Correct |
108 ms |
39584 KB |
Output is correct |
33 |
Correct |
107 ms |
39600 KB |
Output is correct |
34 |
Correct |
110 ms |
39516 KB |
Output is correct |
35 |
Correct |
216 ms |
79772 KB |
Output is correct |
36 |
Execution timed out |
1086 ms |
79188 KB |
Time limit exceeded |
37 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
115 ms |
39768 KB |
Output is correct |
2 |
Correct |
107 ms |
39584 KB |
Output is correct |
3 |
Correct |
107 ms |
39580 KB |
Output is correct |
4 |
Correct |
105 ms |
39840 KB |
Output is correct |
5 |
Correct |
107 ms |
39588 KB |
Output is correct |
6 |
Correct |
110 ms |
39584 KB |
Output is correct |
7 |
Correct |
107 ms |
39580 KB |
Output is correct |
8 |
Correct |
112 ms |
39516 KB |
Output is correct |
9 |
Correct |
109 ms |
39584 KB |
Output is correct |
10 |
Correct |
107 ms |
39588 KB |
Output is correct |
11 |
Correct |
109 ms |
39576 KB |
Output is correct |
12 |
Correct |
108 ms |
39588 KB |
Output is correct |
13 |
Correct |
108 ms |
39528 KB |
Output is correct |
14 |
Correct |
107 ms |
39516 KB |
Output is correct |
15 |
Correct |
106 ms |
39576 KB |
Output is correct |
16 |
Correct |
109 ms |
39576 KB |
Output is correct |
17 |
Correct |
107 ms |
39516 KB |
Output is correct |
18 |
Correct |
107 ms |
39572 KB |
Output is correct |
19 |
Correct |
109 ms |
39588 KB |
Output is correct |
20 |
Correct |
110 ms |
39588 KB |
Output is correct |
21 |
Correct |
108 ms |
39372 KB |
Output is correct |
22 |
Correct |
106 ms |
39596 KB |
Output is correct |
23 |
Correct |
112 ms |
39592 KB |
Output is correct |
24 |
Correct |
107 ms |
39596 KB |
Output is correct |
25 |
Correct |
110 ms |
39528 KB |
Output is correct |
26 |
Correct |
109 ms |
39644 KB |
Output is correct |
27 |
Correct |
106 ms |
39596 KB |
Output is correct |
28 |
Correct |
108 ms |
39604 KB |
Output is correct |
29 |
Correct |
110 ms |
39612 KB |
Output is correct |
30 |
Correct |
106 ms |
39516 KB |
Output is correct |
31 |
Correct |
107 ms |
39512 KB |
Output is correct |
32 |
Correct |
108 ms |
39584 KB |
Output is correct |
33 |
Correct |
107 ms |
39600 KB |
Output is correct |
34 |
Correct |
110 ms |
39516 KB |
Output is correct |
35 |
Correct |
216 ms |
79772 KB |
Output is correct |
36 |
Execution timed out |
1086 ms |
79188 KB |
Time limit exceeded |
37 |
Halted |
0 ms |
0 KB |
- |