답안 #882934

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
882934	2023-12-04T07:53:00 Z	tsumondai	Binaria (CCO23_day1problem1)	C++14	25 / 25	81 ms	37204 KB

Main

#include <bits/stdc++.h>
using namespace std;

#define int long long
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define foru(i, l, r) for(int i = l; i <= r; i++)
#define ford(i, r, l) for(int i = r; i >= l; i--)
#define __TIME  (1.0 * clock() / CLOCKS_PER_SEC)

typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;

const int N = 1e6 + 5;

const int oo = 1e9, mod = 1e6 + 3;

int n, m, k, fact[N], inv[N], a[N], color[N];
string s;
vector<int> arr;

long long binpow(long long a, long long b) {
	a %= mod;
	long long res = 1;
	while (b > 0) {
		if (b & 1)
			res = res * a % mod;
		a = a * a % mod;
		b >>= 1;
	}
	return res;
}

int comb(int k, int n) {
	if (k > n || k < 0) return 0;
	return (fact[n] * ((inv[k] * inv[n - k]) % mod)) % mod;
}

void process() {
	cin >> n >> k;
	foru(i, 1, n - k + 1) cin >> a[i];
	fact[0] = inv[0] = 1;
	foru(i, 1, n) fact[i] = (fact[i - 1] * i) % mod;
	inv[n] = binpow(fact[n], mod - 2);
	ford(i, n - 1, 1) inv[i] = (inv[i + 1] * (i + 1)) % mod;
	foru(i, 1, n) color[i] = 2;
	ford(i, n - k, 1) {
		if (abs(a[i] - a[i + 1]) > 1) {
			cout << 0 << '\n'; return;
		}
		if (a[i] == a[i + 1]) color[i] = color[i + k];
		else if (a[i] > a[i + 1]) {
			if (color[i + k] == 1) {
				cout << 0 << '\n'; return;
			}
			color[i] = 1;
		} else {
			if (color[i + k] == 0) {
				cout << 0 << '\n'; return;
			}
			color[i] = 0;
		}

	}

	int ans = 0;
	foru(i, 1, k) a[1] -= (color[i] == 1), ans += color[i] == 2;
	cout << comb(a[1], ans);
	return;
}

signed main() {
	cin.tie(0)->sync_with_stdio(false);
	//freopen(".inp", "r", stdin);
	//freopen(".out", "w", stdout);
	process();
	cerr << "Time elapsed: " << __TIME << " s.\n";
	return 0;
}

/*
Xét các trường hợp đặc biệt
Kiểm tra lại input/output
Cố gắng trâu
Lật ngược bài toán
Keep calm and get VOI
Flow:

*/

Subtask #1
3.0 / 3.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6488 KB	Output is correct
2	Correct	1 ms	6492 KB	Output is correct
3	Correct	1 ms	6492 KB	Output is correct
4	Correct	1 ms	6492 KB	Output is correct
5	Correct	1 ms	6488 KB	Output is correct
6	Correct	1 ms	6492 KB	Output is correct
7	Correct	1 ms	6488 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6492 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 ms	6492 KB	Output is correct

Subtask #2
3.0 / 3.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6488 KB	Output is correct
2	Correct	1 ms	6492 KB	Output is correct
3	Correct	1 ms	6492 KB	Output is correct
4	Correct	1 ms	6492 KB	Output is correct
5	Correct	1 ms	6488 KB	Output is correct
6	Correct	1 ms	6492 KB	Output is correct
7	Correct	1 ms	6488 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6492 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 ms	6492 KB	Output is correct
13	Correct	1 ms	6492 KB	Output is correct
14	Correct	1 ms	6492 KB	Output is correct
15	Correct	2 ms	6492 KB	Output is correct
16	Correct	1 ms	6492 KB	Output is correct
17	Correct	1 ms	6492 KB	Output is correct
18	Correct	1 ms	6744 KB	Output is correct
19	Correct	1 ms	6492 KB	Output is correct
20	Correct	1 ms	6492 KB	Output is correct
21	Correct	1 ms	6612 KB	Output is correct

Subtask #3
4.0 / 4.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6488 KB	Output is correct
2	Correct	1 ms	6492 KB	Output is correct
3	Correct	1 ms	6492 KB	Output is correct
4	Correct	1 ms	6492 KB	Output is correct
5	Correct	1 ms	6488 KB	Output is correct
6	Correct	1 ms	6492 KB	Output is correct
7	Correct	1 ms	6488 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6492 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 ms	6492 KB	Output is correct
13	Correct	1 ms	6492 KB	Output is correct
14	Correct	1 ms	6492 KB	Output is correct
15	Correct	2 ms	6492 KB	Output is correct
16	Correct	1 ms	6492 KB	Output is correct
17	Correct	1 ms	6492 KB	Output is correct
18	Correct	1 ms	6744 KB	Output is correct
19	Correct	1 ms	6492 KB	Output is correct
20	Correct	1 ms	6492 KB	Output is correct
21	Correct	1 ms	6612 KB	Output is correct
22	Correct	1 ms	6492 KB	Output is correct
23	Correct	1 ms	6492 KB	Output is correct
24	Correct	1 ms	6492 KB	Output is correct
25	Correct	1 ms	6492 KB	Output is correct
26	Correct	1 ms	6492 KB	Output is correct
27	Correct	1 ms	6492 KB	Output is correct
28	Correct	1 ms	6492 KB	Output is correct
29	Correct	1 ms	6492 KB	Output is correct
30	Correct	1 ms	6492 KB	Output is correct
31	Correct	1 ms	6492 KB	Output is correct
32	Correct	1 ms	6492 KB	Output is correct
33	Correct	2 ms	6492 KB	Output is correct
34	Correct	1 ms	6492 KB	Output is correct

Subtask #4
4.0 / 4.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6488 KB	Output is correct
2	Correct	1 ms	6492 KB	Output is correct
3	Correct	1 ms	6492 KB	Output is correct
4	Correct	1 ms	6492 KB	Output is correct
5	Correct	1 ms	6488 KB	Output is correct
6	Correct	1 ms	6492 KB	Output is correct
7	Correct	1 ms	6488 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6492 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 ms	6492 KB	Output is correct
13	Correct	1 ms	6492 KB	Output is correct
14	Correct	1 ms	6492 KB	Output is correct
15	Correct	2 ms	6492 KB	Output is correct
16	Correct	1 ms	6492 KB	Output is correct
17	Correct	1 ms	6492 KB	Output is correct
18	Correct	1 ms	6744 KB	Output is correct
19	Correct	1 ms	6492 KB	Output is correct
20	Correct	1 ms	6492 KB	Output is correct
21	Correct	1 ms	6612 KB	Output is correct
22	Correct	1 ms	6492 KB	Output is correct
23	Correct	1 ms	6492 KB	Output is correct
24	Correct	1 ms	6492 KB	Output is correct
25	Correct	1 ms	6492 KB	Output is correct
26	Correct	1 ms	6492 KB	Output is correct
27	Correct	1 ms	6492 KB	Output is correct
28	Correct	1 ms	6492 KB	Output is correct
29	Correct	1 ms	6492 KB	Output is correct
30	Correct	1 ms	6492 KB	Output is correct
31	Correct	1 ms	6492 KB	Output is correct
32	Correct	1 ms	6492 KB	Output is correct
33	Correct	2 ms	6492 KB	Output is correct
34	Correct	1 ms	6492 KB	Output is correct
35	Correct	54 ms	33620 KB	Output is correct
36	Correct	58 ms	34120 KB	Output is correct
37	Correct	60 ms	34496 KB	Output is correct
38	Correct	70 ms	34500 KB	Output is correct
39	Correct	57 ms	33620 KB	Output is correct
40	Correct	68 ms	34644 KB	Output is correct
41	Correct	60 ms	34644 KB	Output is correct
42	Correct	55 ms	33620 KB	Output is correct
43	Correct	55 ms	33620 KB	Output is correct
44	Correct	56 ms	33620 KB	Output is correct
45	Correct	65 ms	33620 KB	Output is correct
46	Correct	57 ms	33516 KB	Output is correct
47	Correct	63 ms	33620 KB	Output is correct
48	Correct	58 ms	34644 KB	Output is correct
49	Correct	70 ms	34652 KB	Output is correct

Subtask #5
4.0 / 4.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6488 KB	Output is correct
2	Correct	1 ms	6492 KB	Output is correct
3	Correct	1 ms	6492 KB	Output is correct
4	Correct	1 ms	6492 KB	Output is correct
5	Correct	1 ms	6488 KB	Output is correct
6	Correct	1 ms	6492 KB	Output is correct
7	Correct	1 ms	6488 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6492 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 ms	6492 KB	Output is correct
13	Correct	1 ms	6492 KB	Output is correct
14	Correct	1 ms	6492 KB	Output is correct
15	Correct	2 ms	6492 KB	Output is correct
16	Correct	1 ms	6492 KB	Output is correct
17	Correct	1 ms	6492 KB	Output is correct
18	Correct	1 ms	6744 KB	Output is correct
19	Correct	1 ms	6492 KB	Output is correct
20	Correct	1 ms	6492 KB	Output is correct
21	Correct	1 ms	6612 KB	Output is correct
22	Correct	1 ms	6492 KB	Output is correct
23	Correct	1 ms	6492 KB	Output is correct
24	Correct	1 ms	6492 KB	Output is correct
25	Correct	1 ms	6492 KB	Output is correct
26	Correct	1 ms	6492 KB	Output is correct
27	Correct	1 ms	6492 KB	Output is correct
28	Correct	1 ms	6492 KB	Output is correct
29	Correct	1 ms	6492 KB	Output is correct
30	Correct	1 ms	6492 KB	Output is correct
31	Correct	1 ms	6492 KB	Output is correct
32	Correct	1 ms	6492 KB	Output is correct
33	Correct	2 ms	6492 KB	Output is correct
34	Correct	1 ms	6492 KB	Output is correct
35	Correct	54 ms	33620 KB	Output is correct
36	Correct	58 ms	34120 KB	Output is correct
37	Correct	60 ms	34496 KB	Output is correct
38	Correct	70 ms	34500 KB	Output is correct
39	Correct	57 ms	33620 KB	Output is correct
40	Correct	68 ms	34644 KB	Output is correct
41	Correct	60 ms	34644 KB	Output is correct
42	Correct	55 ms	33620 KB	Output is correct
43	Correct	55 ms	33620 KB	Output is correct
44	Correct	56 ms	33620 KB	Output is correct
45	Correct	65 ms	33620 KB	Output is correct
46	Correct	57 ms	33516 KB	Output is correct
47	Correct	63 ms	33620 KB	Output is correct
48	Correct	58 ms	34644 KB	Output is correct
49	Correct	70 ms	34652 KB	Output is correct
50	Correct	72 ms	36416 KB	Output is correct
51	Correct	70 ms	36548 KB	Output is correct
52	Correct	78 ms	36436 KB	Output is correct
53	Correct	74 ms	36544 KB	Output is correct
54	Correct	81 ms	36436 KB	Output is correct
55	Correct	69 ms	36436 KB	Output is correct
56	Correct	77 ms	36436 KB	Output is correct
57	Correct	65 ms	35532 KB	Output is correct
58	Correct	72 ms	36540 KB	Output is correct
59	Correct	69 ms	36432 KB	Output is correct
60	Correct	68 ms	35664 KB	Output is correct

Subtask #6
7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6488 KB	Output is correct
2	Correct	1 ms	6492 KB	Output is correct
3	Correct	1 ms	6492 KB	Output is correct
4	Correct	1 ms	6492 KB	Output is correct
5	Correct	1 ms	6488 KB	Output is correct
6	Correct	1 ms	6492 KB	Output is correct
7	Correct	1 ms	6488 KB	Output is correct
8	Correct	1 ms	6492 KB	Output is correct
9	Correct	1 ms	6492 KB	Output is correct
10	Correct	1 ms	6492 KB	Output is correct
11	Correct	1 ms	6492 KB	Output is correct
12	Correct	1 ms	6492 KB	Output is correct
13	Correct	1 ms	6492 KB	Output is correct
14	Correct	1 ms	6492 KB	Output is correct
15	Correct	2 ms	6492 KB	Output is correct
16	Correct	1 ms	6492 KB	Output is correct
17	Correct	1 ms	6492 KB	Output is correct
18	Correct	1 ms	6744 KB	Output is correct
19	Correct	1 ms	6492 KB	Output is correct
20	Correct	1 ms	6492 KB	Output is correct
21	Correct	1 ms	6612 KB	Output is correct
22	Correct	1 ms	6492 KB	Output is correct
23	Correct	1 ms	6492 KB	Output is correct
24	Correct	1 ms	6492 KB	Output is correct
25	Correct	1 ms	6492 KB	Output is correct
26	Correct	1 ms	6492 KB	Output is correct
27	Correct	1 ms	6492 KB	Output is correct
28	Correct	1 ms	6492 KB	Output is correct
29	Correct	1 ms	6492 KB	Output is correct
30	Correct	1 ms	6492 KB	Output is correct
31	Correct	1 ms	6492 KB	Output is correct
32	Correct	1 ms	6492 KB	Output is correct
33	Correct	2 ms	6492 KB	Output is correct
34	Correct	1 ms	6492 KB	Output is correct
35	Correct	54 ms	33620 KB	Output is correct
36	Correct	58 ms	34120 KB	Output is correct
37	Correct	60 ms	34496 KB	Output is correct
38	Correct	70 ms	34500 KB	Output is correct
39	Correct	57 ms	33620 KB	Output is correct
40	Correct	68 ms	34644 KB	Output is correct
41	Correct	60 ms	34644 KB	Output is correct
42	Correct	55 ms	33620 KB	Output is correct
43	Correct	55 ms	33620 KB	Output is correct
44	Correct	56 ms	33620 KB	Output is correct
45	Correct	65 ms	33620 KB	Output is correct
46	Correct	57 ms	33516 KB	Output is correct
47	Correct	63 ms	33620 KB	Output is correct
48	Correct	58 ms	34644 KB	Output is correct
49	Correct	70 ms	34652 KB	Output is correct
50	Correct	72 ms	36416 KB	Output is correct
51	Correct	70 ms	36548 KB	Output is correct
52	Correct	78 ms	36436 KB	Output is correct
53	Correct	74 ms	36544 KB	Output is correct
54	Correct	81 ms	36436 KB	Output is correct
55	Correct	69 ms	36436 KB	Output is correct
56	Correct	77 ms	36436 KB	Output is correct
57	Correct	65 ms	35532 KB	Output is correct
58	Correct	72 ms	36540 KB	Output is correct
59	Correct	69 ms	36432 KB	Output is correct
60	Correct	68 ms	35664 KB	Output is correct
61	Correct	18 ms	25436 KB	Output is correct
62	Correct	20 ms	25412 KB	Output is correct
63	Correct	20 ms	25428 KB	Output is correct
64	Correct	17 ms	25436 KB	Output is correct
65	Correct	51 ms	32972 KB	Output is correct
66	Correct	40 ms	31944 KB	Output is correct
67	Correct	69 ms	37204 KB	Output is correct
68	Correct	23 ms	27988 KB	Output is correct
69	Correct	17 ms	25564 KB	Output is correct
70	Correct	17 ms	25428 KB	Output is correct
71	Correct	17 ms	25436 KB	Output is correct

답안 #882934

Compilation message

Subtask #1 3.0 / 3.0

Subtask #2 3.0 / 3.0

Subtask #3 4.0 / 4.0

Subtask #4 4.0 / 4.0

Subtask #5 4.0 / 4.0

Subtask #6 7.0 / 7.0

Subtask #1
3.0 / 3.0

Subtask #2
3.0 / 3.0

Subtask #3
4.0 / 4.0

Subtask #4
4.0 / 4.0

Subtask #5
4.0 / 4.0

Subtask #6
7.0 / 7.0