#include<bits/stdc++.h>
#ifdef LOCAL
#include "D:\debug.h"
#else
#define cebug(...) "Orz_chUoNgnn_khanhtb_0x2ee08"
#endif
using namespace std;
#define int long long
#define fi first
#define se second
#define pb push_back
#define ll long long
#define ii pair<int, int>
#define vi vector<int>
#define vll vector<ll>
#define vii vector<ii>
#define cd complex<double>
const ll mod = 1e6 + 3;
const ll INF = 1e18L + 5;
const double PI = acos(-1);
const int block = 320;
const int N = 1e6;
int tc, tt = 1;
int n, k;
ll a[N + 5], b[N + 5];
vi g[N + 5];
int vis[N + 5];
ll powmod(ll a, ll b) {
ll ans = 1;
while(b) {
if(b & 1) ans = ans * a % mod;
a = a * a % mod;
b /= 2;
}
return ans;
}
void dfs(int root, int u, int par) {
b[u] = b[root];
vis[u] = true;
for(auto v: g[u])
if(!vis[v]) dfs(root, v, u);
}
void solve() {
cin>>n>>k;
memset(b, -1, sizeof(b));
for(int i=1; i<=n-k+1; i++)
cin>>a[i];
for(int i=2; i<=n-k+1; i++) {
if(abs(a[i] - a[i - 1]) > 1) {
cout<<0<<'\n';
return;
}
if(a[i] == a[i - 1]) {
g[i + k - 1].pb(i - 1);
g[i - 1].pb(i + k - 1);
}
if(a[i] > a[i - 1]) {
if(b[i - 1] == 1 || b[i + k - 1] == 0) {
cout<<0<<'\n';
return;
}
b[i - 1] = 0;
b[i + k - 1] = 1;
}
if(a[i] < a[i - 1]) {
if(b[i - 1] == 0 || b[i + k - 1] == 1) {
cout<<0<<'\n';
return;
}
b[i - 1] = 1;
b[i + k - 1] = 0;
}
}
for(int i=1; i<=n; i++)
if(b[i] != -1 && !vis[i]) dfs(i, i, -1);
ll ans = 1, sum = 0, cnt = 0;
for(int i=1; i<=k; i++) {
if(b[i] == -1) cnt++;
else sum += b[i];
}
if(sum > a[1] || a[1] - sum > cnt) {
cout<<0<<'\n';
return;
}
sum = a[1] - sum;
for(int i=cnt; i>=cnt - sum + 1; i--) ans = ans * i % mod;
ll dem = 1;
for(int i=1; i<=sum; i++) dem = dem * i % mod;
ans = ans * powmod(dem, mod - 2) % mod;
cout<<ans;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
for(tc=1; tc<=tt; tc++) solve();
cerr<<"\nTime elapsed: "<<1000.0*clock()/CLOCKS_PER_SEC<<" ms.\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
33112 KB |
Output is correct |
2 |
Correct |
5 ms |
33116 KB |
Output is correct |
3 |
Correct |
5 ms |
33116 KB |
Output is correct |
4 |
Correct |
5 ms |
33248 KB |
Output is correct |
5 |
Correct |
5 ms |
33244 KB |
Output is correct |
6 |
Correct |
5 ms |
33116 KB |
Output is correct |
7 |
Correct |
5 ms |
33116 KB |
Output is correct |
8 |
Correct |
5 ms |
33116 KB |
Output is correct |
9 |
Correct |
5 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Correct |
5 ms |
33116 KB |
Output is correct |
12 |
Correct |
5 ms |
33116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
33112 KB |
Output is correct |
2 |
Correct |
5 ms |
33116 KB |
Output is correct |
3 |
Correct |
5 ms |
33116 KB |
Output is correct |
4 |
Correct |
5 ms |
33248 KB |
Output is correct |
5 |
Correct |
5 ms |
33244 KB |
Output is correct |
6 |
Correct |
5 ms |
33116 KB |
Output is correct |
7 |
Correct |
5 ms |
33116 KB |
Output is correct |
8 |
Correct |
5 ms |
33116 KB |
Output is correct |
9 |
Correct |
5 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Correct |
5 ms |
33116 KB |
Output is correct |
12 |
Correct |
5 ms |
33116 KB |
Output is correct |
13 |
Correct |
5 ms |
33116 KB |
Output is correct |
14 |
Correct |
4 ms |
33200 KB |
Output is correct |
15 |
Correct |
4 ms |
33116 KB |
Output is correct |
16 |
Correct |
4 ms |
33232 KB |
Output is correct |
17 |
Correct |
5 ms |
33116 KB |
Output is correct |
18 |
Correct |
5 ms |
33112 KB |
Output is correct |
19 |
Correct |
5 ms |
33116 KB |
Output is correct |
20 |
Correct |
5 ms |
33116 KB |
Output is correct |
21 |
Correct |
5 ms |
33116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
33112 KB |
Output is correct |
2 |
Correct |
5 ms |
33116 KB |
Output is correct |
3 |
Correct |
5 ms |
33116 KB |
Output is correct |
4 |
Correct |
5 ms |
33248 KB |
Output is correct |
5 |
Correct |
5 ms |
33244 KB |
Output is correct |
6 |
Correct |
5 ms |
33116 KB |
Output is correct |
7 |
Correct |
5 ms |
33116 KB |
Output is correct |
8 |
Correct |
5 ms |
33116 KB |
Output is correct |
9 |
Correct |
5 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Correct |
5 ms |
33116 KB |
Output is correct |
12 |
Correct |
5 ms |
33116 KB |
Output is correct |
13 |
Correct |
5 ms |
33116 KB |
Output is correct |
14 |
Correct |
4 ms |
33200 KB |
Output is correct |
15 |
Correct |
4 ms |
33116 KB |
Output is correct |
16 |
Correct |
4 ms |
33232 KB |
Output is correct |
17 |
Correct |
5 ms |
33116 KB |
Output is correct |
18 |
Correct |
5 ms |
33112 KB |
Output is correct |
19 |
Correct |
5 ms |
33116 KB |
Output is correct |
20 |
Correct |
5 ms |
33116 KB |
Output is correct |
21 |
Correct |
5 ms |
33116 KB |
Output is correct |
22 |
Correct |
5 ms |
33116 KB |
Output is correct |
23 |
Correct |
5 ms |
33116 KB |
Output is correct |
24 |
Correct |
4 ms |
33116 KB |
Output is correct |
25 |
Correct |
5 ms |
33116 KB |
Output is correct |
26 |
Correct |
5 ms |
33116 KB |
Output is correct |
27 |
Correct |
6 ms |
33284 KB |
Output is correct |
28 |
Correct |
5 ms |
33116 KB |
Output is correct |
29 |
Correct |
5 ms |
33116 KB |
Output is correct |
30 |
Correct |
5 ms |
33116 KB |
Output is correct |
31 |
Correct |
4 ms |
33116 KB |
Output is correct |
32 |
Correct |
4 ms |
33116 KB |
Output is correct |
33 |
Correct |
5 ms |
33116 KB |
Output is correct |
34 |
Correct |
5 ms |
33116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
33112 KB |
Output is correct |
2 |
Correct |
5 ms |
33116 KB |
Output is correct |
3 |
Correct |
5 ms |
33116 KB |
Output is correct |
4 |
Correct |
5 ms |
33248 KB |
Output is correct |
5 |
Correct |
5 ms |
33244 KB |
Output is correct |
6 |
Correct |
5 ms |
33116 KB |
Output is correct |
7 |
Correct |
5 ms |
33116 KB |
Output is correct |
8 |
Correct |
5 ms |
33116 KB |
Output is correct |
9 |
Correct |
5 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Correct |
5 ms |
33116 KB |
Output is correct |
12 |
Correct |
5 ms |
33116 KB |
Output is correct |
13 |
Correct |
5 ms |
33116 KB |
Output is correct |
14 |
Correct |
4 ms |
33200 KB |
Output is correct |
15 |
Correct |
4 ms |
33116 KB |
Output is correct |
16 |
Correct |
4 ms |
33232 KB |
Output is correct |
17 |
Correct |
5 ms |
33116 KB |
Output is correct |
18 |
Correct |
5 ms |
33112 KB |
Output is correct |
19 |
Correct |
5 ms |
33116 KB |
Output is correct |
20 |
Correct |
5 ms |
33116 KB |
Output is correct |
21 |
Correct |
5 ms |
33116 KB |
Output is correct |
22 |
Correct |
5 ms |
33116 KB |
Output is correct |
23 |
Correct |
5 ms |
33116 KB |
Output is correct |
24 |
Correct |
4 ms |
33116 KB |
Output is correct |
25 |
Correct |
5 ms |
33116 KB |
Output is correct |
26 |
Correct |
5 ms |
33116 KB |
Output is correct |
27 |
Correct |
6 ms |
33284 KB |
Output is correct |
28 |
Correct |
5 ms |
33116 KB |
Output is correct |
29 |
Correct |
5 ms |
33116 KB |
Output is correct |
30 |
Correct |
5 ms |
33116 KB |
Output is correct |
31 |
Correct |
4 ms |
33116 KB |
Output is correct |
32 |
Correct |
4 ms |
33116 KB |
Output is correct |
33 |
Correct |
5 ms |
33116 KB |
Output is correct |
34 |
Correct |
5 ms |
33116 KB |
Output is correct |
35 |
Correct |
103 ms |
72308 KB |
Output is correct |
36 |
Correct |
192 ms |
78616 KB |
Output is correct |
37 |
Correct |
180 ms |
79696 KB |
Output is correct |
38 |
Correct |
115 ms |
80644 KB |
Output is correct |
39 |
Correct |
98 ms |
72276 KB |
Output is correct |
40 |
Correct |
104 ms |
72412 KB |
Output is correct |
41 |
Correct |
206 ms |
80208 KB |
Output is correct |
42 |
Correct |
118 ms |
80976 KB |
Output is correct |
43 |
Correct |
115 ms |
80812 KB |
Output is correct |
44 |
Correct |
102 ms |
72460 KB |
Output is correct |
45 |
Correct |
138 ms |
125592 KB |
Output is correct |
46 |
Correct |
91 ms |
72272 KB |
Output is correct |
47 |
Correct |
108 ms |
72276 KB |
Output is correct |
48 |
Correct |
141 ms |
72276 KB |
Output is correct |
49 |
Correct |
113 ms |
80904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
33112 KB |
Output is correct |
2 |
Correct |
5 ms |
33116 KB |
Output is correct |
3 |
Correct |
5 ms |
33116 KB |
Output is correct |
4 |
Correct |
5 ms |
33248 KB |
Output is correct |
5 |
Correct |
5 ms |
33244 KB |
Output is correct |
6 |
Correct |
5 ms |
33116 KB |
Output is correct |
7 |
Correct |
5 ms |
33116 KB |
Output is correct |
8 |
Correct |
5 ms |
33116 KB |
Output is correct |
9 |
Correct |
5 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Correct |
5 ms |
33116 KB |
Output is correct |
12 |
Correct |
5 ms |
33116 KB |
Output is correct |
13 |
Correct |
5 ms |
33116 KB |
Output is correct |
14 |
Correct |
4 ms |
33200 KB |
Output is correct |
15 |
Correct |
4 ms |
33116 KB |
Output is correct |
16 |
Correct |
4 ms |
33232 KB |
Output is correct |
17 |
Correct |
5 ms |
33116 KB |
Output is correct |
18 |
Correct |
5 ms |
33112 KB |
Output is correct |
19 |
Correct |
5 ms |
33116 KB |
Output is correct |
20 |
Correct |
5 ms |
33116 KB |
Output is correct |
21 |
Correct |
5 ms |
33116 KB |
Output is correct |
22 |
Correct |
5 ms |
33116 KB |
Output is correct |
23 |
Correct |
5 ms |
33116 KB |
Output is correct |
24 |
Correct |
4 ms |
33116 KB |
Output is correct |
25 |
Correct |
5 ms |
33116 KB |
Output is correct |
26 |
Correct |
5 ms |
33116 KB |
Output is correct |
27 |
Correct |
6 ms |
33284 KB |
Output is correct |
28 |
Correct |
5 ms |
33116 KB |
Output is correct |
29 |
Correct |
5 ms |
33116 KB |
Output is correct |
30 |
Correct |
5 ms |
33116 KB |
Output is correct |
31 |
Correct |
4 ms |
33116 KB |
Output is correct |
32 |
Correct |
4 ms |
33116 KB |
Output is correct |
33 |
Correct |
5 ms |
33116 KB |
Output is correct |
34 |
Correct |
5 ms |
33116 KB |
Output is correct |
35 |
Correct |
103 ms |
72308 KB |
Output is correct |
36 |
Correct |
192 ms |
78616 KB |
Output is correct |
37 |
Correct |
180 ms |
79696 KB |
Output is correct |
38 |
Correct |
115 ms |
80644 KB |
Output is correct |
39 |
Correct |
98 ms |
72276 KB |
Output is correct |
40 |
Correct |
104 ms |
72412 KB |
Output is correct |
41 |
Correct |
206 ms |
80208 KB |
Output is correct |
42 |
Correct |
118 ms |
80976 KB |
Output is correct |
43 |
Correct |
115 ms |
80812 KB |
Output is correct |
44 |
Correct |
102 ms |
72460 KB |
Output is correct |
45 |
Correct |
138 ms |
125592 KB |
Output is correct |
46 |
Correct |
91 ms |
72272 KB |
Output is correct |
47 |
Correct |
108 ms |
72276 KB |
Output is correct |
48 |
Correct |
141 ms |
72276 KB |
Output is correct |
49 |
Correct |
113 ms |
80904 KB |
Output is correct |
50 |
Correct |
102 ms |
72276 KB |
Output is correct |
51 |
Correct |
102 ms |
72276 KB |
Output is correct |
52 |
Correct |
134 ms |
78344 KB |
Output is correct |
53 |
Correct |
228 ms |
76368 KB |
Output is correct |
54 |
Correct |
139 ms |
78348 KB |
Output is correct |
55 |
Correct |
118 ms |
78596 KB |
Output is correct |
56 |
Correct |
130 ms |
78552 KB |
Output is correct |
57 |
Correct |
191 ms |
77308 KB |
Output is correct |
58 |
Correct |
112 ms |
72196 KB |
Output is correct |
59 |
Correct |
142 ms |
78084 KB |
Output is correct |
60 |
Correct |
148 ms |
77424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
33112 KB |
Output is correct |
2 |
Correct |
5 ms |
33116 KB |
Output is correct |
3 |
Correct |
5 ms |
33116 KB |
Output is correct |
4 |
Correct |
5 ms |
33248 KB |
Output is correct |
5 |
Correct |
5 ms |
33244 KB |
Output is correct |
6 |
Correct |
5 ms |
33116 KB |
Output is correct |
7 |
Correct |
5 ms |
33116 KB |
Output is correct |
8 |
Correct |
5 ms |
33116 KB |
Output is correct |
9 |
Correct |
5 ms |
33116 KB |
Output is correct |
10 |
Correct |
4 ms |
33116 KB |
Output is correct |
11 |
Correct |
5 ms |
33116 KB |
Output is correct |
12 |
Correct |
5 ms |
33116 KB |
Output is correct |
13 |
Correct |
5 ms |
33116 KB |
Output is correct |
14 |
Correct |
4 ms |
33200 KB |
Output is correct |
15 |
Correct |
4 ms |
33116 KB |
Output is correct |
16 |
Correct |
4 ms |
33232 KB |
Output is correct |
17 |
Correct |
5 ms |
33116 KB |
Output is correct |
18 |
Correct |
5 ms |
33112 KB |
Output is correct |
19 |
Correct |
5 ms |
33116 KB |
Output is correct |
20 |
Correct |
5 ms |
33116 KB |
Output is correct |
21 |
Correct |
5 ms |
33116 KB |
Output is correct |
22 |
Correct |
5 ms |
33116 KB |
Output is correct |
23 |
Correct |
5 ms |
33116 KB |
Output is correct |
24 |
Correct |
4 ms |
33116 KB |
Output is correct |
25 |
Correct |
5 ms |
33116 KB |
Output is correct |
26 |
Correct |
5 ms |
33116 KB |
Output is correct |
27 |
Correct |
6 ms |
33284 KB |
Output is correct |
28 |
Correct |
5 ms |
33116 KB |
Output is correct |
29 |
Correct |
5 ms |
33116 KB |
Output is correct |
30 |
Correct |
5 ms |
33116 KB |
Output is correct |
31 |
Correct |
4 ms |
33116 KB |
Output is correct |
32 |
Correct |
4 ms |
33116 KB |
Output is correct |
33 |
Correct |
5 ms |
33116 KB |
Output is correct |
34 |
Correct |
5 ms |
33116 KB |
Output is correct |
35 |
Correct |
103 ms |
72308 KB |
Output is correct |
36 |
Correct |
192 ms |
78616 KB |
Output is correct |
37 |
Correct |
180 ms |
79696 KB |
Output is correct |
38 |
Correct |
115 ms |
80644 KB |
Output is correct |
39 |
Correct |
98 ms |
72276 KB |
Output is correct |
40 |
Correct |
104 ms |
72412 KB |
Output is correct |
41 |
Correct |
206 ms |
80208 KB |
Output is correct |
42 |
Correct |
118 ms |
80976 KB |
Output is correct |
43 |
Correct |
115 ms |
80812 KB |
Output is correct |
44 |
Correct |
102 ms |
72460 KB |
Output is correct |
45 |
Correct |
138 ms |
125592 KB |
Output is correct |
46 |
Correct |
91 ms |
72272 KB |
Output is correct |
47 |
Correct |
108 ms |
72276 KB |
Output is correct |
48 |
Correct |
141 ms |
72276 KB |
Output is correct |
49 |
Correct |
113 ms |
80904 KB |
Output is correct |
50 |
Correct |
102 ms |
72276 KB |
Output is correct |
51 |
Correct |
102 ms |
72276 KB |
Output is correct |
52 |
Correct |
134 ms |
78344 KB |
Output is correct |
53 |
Correct |
228 ms |
76368 KB |
Output is correct |
54 |
Correct |
139 ms |
78348 KB |
Output is correct |
55 |
Correct |
118 ms |
78596 KB |
Output is correct |
56 |
Correct |
130 ms |
78552 KB |
Output is correct |
57 |
Correct |
191 ms |
77308 KB |
Output is correct |
58 |
Correct |
112 ms |
72196 KB |
Output is correct |
59 |
Correct |
142 ms |
78084 KB |
Output is correct |
60 |
Correct |
148 ms |
77424 KB |
Output is correct |
61 |
Correct |
9 ms |
33116 KB |
Output is correct |
62 |
Correct |
10 ms |
33288 KB |
Output is correct |
63 |
Correct |
12 ms |
33116 KB |
Output is correct |
64 |
Correct |
9 ms |
33200 KB |
Output is correct |
65 |
Correct |
82 ms |
73512 KB |
Output is correct |
66 |
Correct |
77 ms |
58628 KB |
Output is correct |
67 |
Correct |
114 ms |
73044 KB |
Output is correct |
68 |
Correct |
14 ms |
41308 KB |
Output is correct |
69 |
Correct |
13 ms |
33292 KB |
Output is correct |
70 |
Correct |
7 ms |
33116 KB |
Output is correct |
71 |
Correct |
10 ms |
33116 KB |
Output is correct |