#include <bits/stdc++.h>
using namespace std;
const int M = 1000000 + 3, N = 1e6 + 10;
int a[N], ch[N], fa[N], dp[N] = {0}, fac[N], invfac[N];
int find (int x) {
return fa[x] == x ? x : fa[x] = find (fa[x]);
}
void add (int &x, int y) {
x += y;
if (x >= M) x -= M;
if (x < 0) x += M;
}
void merge (int i, int j) {
i = find(i), j = find(j);
if (i == j) return;
fa[i] = j;
if (ch[i] == 3 or ch[j] == 3) ch[j] = min(ch[i], ch[j]);
else if (ch[i] != ch[j]) {
cout << "0\n";
exit(0);
}
}
void f(int i, int val) {
i = find(i);
if (ch[i] == 3) ch[i] = val;
else if (ch[i] != val) {
cout << "0\n";
exit(0);
}
}
int fmul (int x, int t) {
if (t == 0) return 1;
long long y = fmul(x, t / 2);
y = y * y % M;
if (t & 1) y = y * x % M;
return y;}
int nCr (int x, int y) {
return fac[x] * 1LL * invfac[y] % M * invfac[x - y] % M;
}
signed main () {
fac[0] = 1;
for (int i = 1; i <= 1000000; i++) fac[i] = fac[i - 1] * 1LL * i % M;
invfac[1000000] = fmul(fac[1000000], M - 2);
for (int i = 999999; i >= 0; i--) invfac[i] = invfac[i + 1] * (i + 1LL) % M;
// cout << invfac[999999] * 1LL * fac[999999] % M<< '\n';
// cout << fac[5] << ' ' << nCr(5, 3) << '\n';return 0;
int n, k;
cin >> n >> k;
for (int i = 1; i <= n; i++) fa[i] = i, ch[i] = 3;
for (int i = 1; i + k - 1 <= n; i++) cin >> a[i];
for (int i = 2; i + k - 1 <= n; i++) {
int dif = a[i] - a[i - 1];
if (dif == 0) merge(i - 1, i + k - 1);
else if (dif == 1) f(i + k - 1, 1), f(i - 1, 0);
else f(i + k - 1, 0), f(i - 1, 1);
}
int left = a[1], wow = 0;
for (int i = 1; i <= k; i++) {
if (ch[find(i)] == 3) wow++;
else if (ch[find(i)] == 1) {
left--;
}
}
cout << nCr (wow, left) << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
14940 KB |
Output is correct |
2 |
Correct |
13 ms |
14940 KB |
Output is correct |
3 |
Correct |
14 ms |
14940 KB |
Output is correct |
4 |
Correct |
13 ms |
14940 KB |
Output is correct |
5 |
Correct |
14 ms |
14940 KB |
Output is correct |
6 |
Correct |
14 ms |
14788 KB |
Output is correct |
7 |
Correct |
13 ms |
14940 KB |
Output is correct |
8 |
Correct |
13 ms |
14984 KB |
Output is correct |
9 |
Correct |
14 ms |
14944 KB |
Output is correct |
10 |
Correct |
13 ms |
14940 KB |
Output is correct |
11 |
Correct |
13 ms |
14944 KB |
Output is correct |
12 |
Correct |
13 ms |
15192 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
14940 KB |
Output is correct |
2 |
Correct |
13 ms |
14940 KB |
Output is correct |
3 |
Correct |
14 ms |
14940 KB |
Output is correct |
4 |
Correct |
13 ms |
14940 KB |
Output is correct |
5 |
Correct |
14 ms |
14940 KB |
Output is correct |
6 |
Correct |
14 ms |
14788 KB |
Output is correct |
7 |
Correct |
13 ms |
14940 KB |
Output is correct |
8 |
Correct |
13 ms |
14984 KB |
Output is correct |
9 |
Correct |
14 ms |
14944 KB |
Output is correct |
10 |
Correct |
13 ms |
14940 KB |
Output is correct |
11 |
Correct |
13 ms |
14944 KB |
Output is correct |
12 |
Correct |
13 ms |
15192 KB |
Output is correct |
13 |
Correct |
14 ms |
14936 KB |
Output is correct |
14 |
Correct |
14 ms |
14976 KB |
Output is correct |
15 |
Correct |
14 ms |
14940 KB |
Output is correct |
16 |
Correct |
14 ms |
14928 KB |
Output is correct |
17 |
Correct |
13 ms |
14944 KB |
Output is correct |
18 |
Correct |
13 ms |
14936 KB |
Output is correct |
19 |
Correct |
13 ms |
14968 KB |
Output is correct |
20 |
Correct |
13 ms |
14948 KB |
Output is correct |
21 |
Correct |
13 ms |
14944 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
14940 KB |
Output is correct |
2 |
Correct |
13 ms |
14940 KB |
Output is correct |
3 |
Correct |
14 ms |
14940 KB |
Output is correct |
4 |
Correct |
13 ms |
14940 KB |
Output is correct |
5 |
Correct |
14 ms |
14940 KB |
Output is correct |
6 |
Correct |
14 ms |
14788 KB |
Output is correct |
7 |
Correct |
13 ms |
14940 KB |
Output is correct |
8 |
Correct |
13 ms |
14984 KB |
Output is correct |
9 |
Correct |
14 ms |
14944 KB |
Output is correct |
10 |
Correct |
13 ms |
14940 KB |
Output is correct |
11 |
Correct |
13 ms |
14944 KB |
Output is correct |
12 |
Correct |
13 ms |
15192 KB |
Output is correct |
13 |
Correct |
14 ms |
14936 KB |
Output is correct |
14 |
Correct |
14 ms |
14976 KB |
Output is correct |
15 |
Correct |
14 ms |
14940 KB |
Output is correct |
16 |
Correct |
14 ms |
14928 KB |
Output is correct |
17 |
Correct |
13 ms |
14944 KB |
Output is correct |
18 |
Correct |
13 ms |
14936 KB |
Output is correct |
19 |
Correct |
13 ms |
14968 KB |
Output is correct |
20 |
Correct |
13 ms |
14948 KB |
Output is correct |
21 |
Correct |
13 ms |
14944 KB |
Output is correct |
22 |
Correct |
13 ms |
14936 KB |
Output is correct |
23 |
Correct |
14 ms |
14940 KB |
Output is correct |
24 |
Correct |
14 ms |
14960 KB |
Output is correct |
25 |
Correct |
13 ms |
14940 KB |
Output is correct |
26 |
Correct |
13 ms |
14940 KB |
Output is correct |
27 |
Correct |
13 ms |
15192 KB |
Output is correct |
28 |
Correct |
13 ms |
14784 KB |
Output is correct |
29 |
Correct |
14 ms |
14948 KB |
Output is correct |
30 |
Correct |
14 ms |
15192 KB |
Output is correct |
31 |
Correct |
14 ms |
14948 KB |
Output is correct |
32 |
Correct |
13 ms |
14940 KB |
Output is correct |
33 |
Correct |
14 ms |
14976 KB |
Output is correct |
34 |
Correct |
13 ms |
14976 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
14940 KB |
Output is correct |
2 |
Correct |
13 ms |
14940 KB |
Output is correct |
3 |
Correct |
14 ms |
14940 KB |
Output is correct |
4 |
Correct |
13 ms |
14940 KB |
Output is correct |
5 |
Correct |
14 ms |
14940 KB |
Output is correct |
6 |
Correct |
14 ms |
14788 KB |
Output is correct |
7 |
Correct |
13 ms |
14940 KB |
Output is correct |
8 |
Correct |
13 ms |
14984 KB |
Output is correct |
9 |
Correct |
14 ms |
14944 KB |
Output is correct |
10 |
Correct |
13 ms |
14940 KB |
Output is correct |
11 |
Correct |
13 ms |
14944 KB |
Output is correct |
12 |
Correct |
13 ms |
15192 KB |
Output is correct |
13 |
Correct |
14 ms |
14936 KB |
Output is correct |
14 |
Correct |
14 ms |
14976 KB |
Output is correct |
15 |
Correct |
14 ms |
14940 KB |
Output is correct |
16 |
Correct |
14 ms |
14928 KB |
Output is correct |
17 |
Correct |
13 ms |
14944 KB |
Output is correct |
18 |
Correct |
13 ms |
14936 KB |
Output is correct |
19 |
Correct |
13 ms |
14968 KB |
Output is correct |
20 |
Correct |
13 ms |
14948 KB |
Output is correct |
21 |
Correct |
13 ms |
14944 KB |
Output is correct |
22 |
Correct |
13 ms |
14936 KB |
Output is correct |
23 |
Correct |
14 ms |
14940 KB |
Output is correct |
24 |
Correct |
14 ms |
14960 KB |
Output is correct |
25 |
Correct |
13 ms |
14940 KB |
Output is correct |
26 |
Correct |
13 ms |
14940 KB |
Output is correct |
27 |
Correct |
13 ms |
15192 KB |
Output is correct |
28 |
Correct |
13 ms |
14784 KB |
Output is correct |
29 |
Correct |
14 ms |
14948 KB |
Output is correct |
30 |
Correct |
14 ms |
15192 KB |
Output is correct |
31 |
Correct |
14 ms |
14948 KB |
Output is correct |
32 |
Correct |
13 ms |
14940 KB |
Output is correct |
33 |
Correct |
14 ms |
14976 KB |
Output is correct |
34 |
Correct |
13 ms |
14976 KB |
Output is correct |
35 |
Correct |
128 ms |
24148 KB |
Output is correct |
36 |
Correct |
143 ms |
24916 KB |
Output is correct |
37 |
Correct |
147 ms |
24900 KB |
Output is correct |
38 |
Correct |
161 ms |
24912 KB |
Output is correct |
39 |
Correct |
133 ms |
24144 KB |
Output is correct |
40 |
Correct |
149 ms |
25092 KB |
Output is correct |
41 |
Correct |
155 ms |
25160 KB |
Output is correct |
42 |
Correct |
124 ms |
24552 KB |
Output is correct |
43 |
Correct |
129 ms |
24308 KB |
Output is correct |
44 |
Correct |
134 ms |
35428 KB |
Output is correct |
45 |
Correct |
130 ms |
23668 KB |
Output is correct |
46 |
Correct |
143 ms |
35416 KB |
Output is correct |
47 |
Correct |
148 ms |
29536 KB |
Output is correct |
48 |
Correct |
154 ms |
25220 KB |
Output is correct |
49 |
Correct |
148 ms |
24884 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
14940 KB |
Output is correct |
2 |
Correct |
13 ms |
14940 KB |
Output is correct |
3 |
Correct |
14 ms |
14940 KB |
Output is correct |
4 |
Correct |
13 ms |
14940 KB |
Output is correct |
5 |
Correct |
14 ms |
14940 KB |
Output is correct |
6 |
Correct |
14 ms |
14788 KB |
Output is correct |
7 |
Correct |
13 ms |
14940 KB |
Output is correct |
8 |
Correct |
13 ms |
14984 KB |
Output is correct |
9 |
Correct |
14 ms |
14944 KB |
Output is correct |
10 |
Correct |
13 ms |
14940 KB |
Output is correct |
11 |
Correct |
13 ms |
14944 KB |
Output is correct |
12 |
Correct |
13 ms |
15192 KB |
Output is correct |
13 |
Correct |
14 ms |
14936 KB |
Output is correct |
14 |
Correct |
14 ms |
14976 KB |
Output is correct |
15 |
Correct |
14 ms |
14940 KB |
Output is correct |
16 |
Correct |
14 ms |
14928 KB |
Output is correct |
17 |
Correct |
13 ms |
14944 KB |
Output is correct |
18 |
Correct |
13 ms |
14936 KB |
Output is correct |
19 |
Correct |
13 ms |
14968 KB |
Output is correct |
20 |
Correct |
13 ms |
14948 KB |
Output is correct |
21 |
Correct |
13 ms |
14944 KB |
Output is correct |
22 |
Correct |
13 ms |
14936 KB |
Output is correct |
23 |
Correct |
14 ms |
14940 KB |
Output is correct |
24 |
Correct |
14 ms |
14960 KB |
Output is correct |
25 |
Correct |
13 ms |
14940 KB |
Output is correct |
26 |
Correct |
13 ms |
14940 KB |
Output is correct |
27 |
Correct |
13 ms |
15192 KB |
Output is correct |
28 |
Correct |
13 ms |
14784 KB |
Output is correct |
29 |
Correct |
14 ms |
14948 KB |
Output is correct |
30 |
Correct |
14 ms |
15192 KB |
Output is correct |
31 |
Correct |
14 ms |
14948 KB |
Output is correct |
32 |
Correct |
13 ms |
14940 KB |
Output is correct |
33 |
Correct |
14 ms |
14976 KB |
Output is correct |
34 |
Correct |
13 ms |
14976 KB |
Output is correct |
35 |
Correct |
128 ms |
24148 KB |
Output is correct |
36 |
Correct |
143 ms |
24916 KB |
Output is correct |
37 |
Correct |
147 ms |
24900 KB |
Output is correct |
38 |
Correct |
161 ms |
24912 KB |
Output is correct |
39 |
Correct |
133 ms |
24144 KB |
Output is correct |
40 |
Correct |
149 ms |
25092 KB |
Output is correct |
41 |
Correct |
155 ms |
25160 KB |
Output is correct |
42 |
Correct |
124 ms |
24552 KB |
Output is correct |
43 |
Correct |
129 ms |
24308 KB |
Output is correct |
44 |
Correct |
134 ms |
35428 KB |
Output is correct |
45 |
Correct |
130 ms |
23668 KB |
Output is correct |
46 |
Correct |
143 ms |
35416 KB |
Output is correct |
47 |
Correct |
148 ms |
29536 KB |
Output is correct |
48 |
Correct |
154 ms |
25220 KB |
Output is correct |
49 |
Correct |
148 ms |
24884 KB |
Output is correct |
50 |
Correct |
198 ms |
25988 KB |
Output is correct |
51 |
Correct |
208 ms |
26184 KB |
Output is correct |
52 |
Correct |
211 ms |
26060 KB |
Output is correct |
53 |
Correct |
199 ms |
26092 KB |
Output is correct |
54 |
Correct |
202 ms |
26056 KB |
Output is correct |
55 |
Correct |
197 ms |
26196 KB |
Output is correct |
56 |
Correct |
205 ms |
25936 KB |
Output is correct |
57 |
Correct |
173 ms |
25296 KB |
Output is correct |
58 |
Correct |
200 ms |
26128 KB |
Output is correct |
59 |
Correct |
199 ms |
25940 KB |
Output is correct |
60 |
Correct |
171 ms |
25272 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
14940 KB |
Output is correct |
2 |
Correct |
13 ms |
14940 KB |
Output is correct |
3 |
Correct |
14 ms |
14940 KB |
Output is correct |
4 |
Correct |
13 ms |
14940 KB |
Output is correct |
5 |
Correct |
14 ms |
14940 KB |
Output is correct |
6 |
Correct |
14 ms |
14788 KB |
Output is correct |
7 |
Correct |
13 ms |
14940 KB |
Output is correct |
8 |
Correct |
13 ms |
14984 KB |
Output is correct |
9 |
Correct |
14 ms |
14944 KB |
Output is correct |
10 |
Correct |
13 ms |
14940 KB |
Output is correct |
11 |
Correct |
13 ms |
14944 KB |
Output is correct |
12 |
Correct |
13 ms |
15192 KB |
Output is correct |
13 |
Correct |
14 ms |
14936 KB |
Output is correct |
14 |
Correct |
14 ms |
14976 KB |
Output is correct |
15 |
Correct |
14 ms |
14940 KB |
Output is correct |
16 |
Correct |
14 ms |
14928 KB |
Output is correct |
17 |
Correct |
13 ms |
14944 KB |
Output is correct |
18 |
Correct |
13 ms |
14936 KB |
Output is correct |
19 |
Correct |
13 ms |
14968 KB |
Output is correct |
20 |
Correct |
13 ms |
14948 KB |
Output is correct |
21 |
Correct |
13 ms |
14944 KB |
Output is correct |
22 |
Correct |
13 ms |
14936 KB |
Output is correct |
23 |
Correct |
14 ms |
14940 KB |
Output is correct |
24 |
Correct |
14 ms |
14960 KB |
Output is correct |
25 |
Correct |
13 ms |
14940 KB |
Output is correct |
26 |
Correct |
13 ms |
14940 KB |
Output is correct |
27 |
Correct |
13 ms |
15192 KB |
Output is correct |
28 |
Correct |
13 ms |
14784 KB |
Output is correct |
29 |
Correct |
14 ms |
14948 KB |
Output is correct |
30 |
Correct |
14 ms |
15192 KB |
Output is correct |
31 |
Correct |
14 ms |
14948 KB |
Output is correct |
32 |
Correct |
13 ms |
14940 KB |
Output is correct |
33 |
Correct |
14 ms |
14976 KB |
Output is correct |
34 |
Correct |
13 ms |
14976 KB |
Output is correct |
35 |
Correct |
128 ms |
24148 KB |
Output is correct |
36 |
Correct |
143 ms |
24916 KB |
Output is correct |
37 |
Correct |
147 ms |
24900 KB |
Output is correct |
38 |
Correct |
161 ms |
24912 KB |
Output is correct |
39 |
Correct |
133 ms |
24144 KB |
Output is correct |
40 |
Correct |
149 ms |
25092 KB |
Output is correct |
41 |
Correct |
155 ms |
25160 KB |
Output is correct |
42 |
Correct |
124 ms |
24552 KB |
Output is correct |
43 |
Correct |
129 ms |
24308 KB |
Output is correct |
44 |
Correct |
134 ms |
35428 KB |
Output is correct |
45 |
Correct |
130 ms |
23668 KB |
Output is correct |
46 |
Correct |
143 ms |
35416 KB |
Output is correct |
47 |
Correct |
148 ms |
29536 KB |
Output is correct |
48 |
Correct |
154 ms |
25220 KB |
Output is correct |
49 |
Correct |
148 ms |
24884 KB |
Output is correct |
50 |
Correct |
198 ms |
25988 KB |
Output is correct |
51 |
Correct |
208 ms |
26184 KB |
Output is correct |
52 |
Correct |
211 ms |
26060 KB |
Output is correct |
53 |
Correct |
199 ms |
26092 KB |
Output is correct |
54 |
Correct |
202 ms |
26056 KB |
Output is correct |
55 |
Correct |
197 ms |
26196 KB |
Output is correct |
56 |
Correct |
205 ms |
25936 KB |
Output is correct |
57 |
Correct |
173 ms |
25296 KB |
Output is correct |
58 |
Correct |
200 ms |
26128 KB |
Output is correct |
59 |
Correct |
199 ms |
25940 KB |
Output is correct |
60 |
Correct |
171 ms |
25272 KB |
Output is correct |
61 |
Correct |
15 ms |
19036 KB |
Output is correct |
62 |
Correct |
16 ms |
19036 KB |
Output is correct |
63 |
Correct |
16 ms |
19032 KB |
Output is correct |
64 |
Correct |
16 ms |
19036 KB |
Output is correct |
65 |
Correct |
125 ms |
24424 KB |
Output is correct |
66 |
Correct |
93 ms |
23268 KB |
Output is correct |
67 |
Correct |
201 ms |
26252 KB |
Output is correct |
68 |
Correct |
32 ms |
19292 KB |
Output is correct |
69 |
Correct |
16 ms |
19036 KB |
Output is correct |
70 |
Correct |
16 ms |
18868 KB |
Output is correct |
71 |
Correct |
15 ms |
18880 KB |
Output is correct |