QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#375092#7766. 栞zyc070419100 ✓70ms4844kbC++201.5kb2024-04-02 21:27:572024-04-02 21:27:58

Judging History

你现在查看的是最新测评结果

  • [2024-04-02 21:27:58]
  • 评测
  • 测评结果:100
  • 用时:70ms
  • 内存:4844kb
  • [2024-04-02 21:27:57]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int N = 505;
const int mod = 998244353;

inline int add(int x, int y) {x += y; return x >= mod ? x - mod : x;}
inline int del(int x, int y) {x -= y; return x < 0 ? x + mod : x;}
inline void Add(int &x, int y) {x = add(x, y);}
inline void Del(int &x, int y) {x = del(x, y);}

int n, k, a[N], ans, f[N], dp[N][N], mx[N], sum[N][N], fac[N];

int main() {
	scanf("%d%d", &n, &k);
	fac[0] = 1;
	for (int i = 1; i <= n; ++i) fac[i] = 1ll * fac[i - 1] * i % mod;
	for (int i = 1; i <= n; ++i) scanf("%d", &a[i]);
	for (int i = 1; i <= n; ++i) {
		f[i] = fac[i];
		for (int j = 1; j < i; ++j) Del(f[i], 1ll * f[j] * fac[i - j] % mod);
	}
	for (int i = 1; i <= n; ++i) mx[i] = max(mx[i - 1], a[i]);
	dp[0][0] = 1;
	for (int o = 1; o < k; ++o) {
		for (int i = o; i + k - o <= n; ++i) {
			for (int j = i - 1; j >= o - 1; --j) {
				int tmp = (a[j + 1] <= mx[j]) + (j + 2 <= i && a[j + 2] <= mx[j]);
				if (tmp == 0) Add(dp[o][i], 1ll * dp[o - 1][j] * f[i - j] % mod);
				else if (tmp == 1 && i == n - k + o) Add(dp[o][i], 1ll * dp[o - 1][j] * fac[i - j - 1] % mod);
				else break;
				if (a[j] > a[j + 1]) break;
			}
		}
	}
	for (int i = n; i >= k; --i) {
		int tmp = mx[i - 1] - (i - 1);
		if (tmp == 0) Add(ans, 1ll * dp[k - 1][i - 1] * fac[n - i + 1] % mod);
		else if (tmp == 1) Add(ans, 1ll * dp[k - 1][i - 1] * fac[n - i] % mod);
		else break;
		if (a[i - 1] > a[i]) break;
	}
	printf("%d\n", ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 0ms
memory: 3820kb

input:

6 1
1 2 3 4 5 6

output:

720

result:

ok 1 number(s): "720"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

6 3
1 2 5 3 4 6

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3912kb

input:

6 3
1 2 4 3 6 5

output:

3

result:

ok 1 number(s): "3"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

6 5
1 2 3 5 4 6

output:

4

result:

ok 1 number(s): "4"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3908kb

input:

6 5
1 2 3 5 4 6

output:

4

result:

ok 1 number(s): "4"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

6 4
1 3 2 4 6 5

output:

3

result:

ok 1 number(s): "3"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

6 5
1 3 2 5 4 6

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 1ms
memory: 3928kb

input:

6 3
1 2 3 6 5 4

output:

13

result:

ok 1 number(s): "13"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3908kb

input:

6 4
1 2 5 4 3 6

output:

3

result:

ok 1 number(s): "3"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

6 3
1 2 5 4 3 6

output:

0

result:

ok 1 number(s): "0"

Subtask #2:

score: 20
Accepted

Dependency #1:

100%
Accepted

Test #11:

score: 20
Accepted
time: 1ms
memory: 3776kb

input:

9 9
1 2 3 4 5 6 7 8 9

output:

1

result:

ok 1 number(s): "1"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3828kb

input:

9 3
1 2 3 4 5 6 9 7 8

output:

3447

result:

ok 1 number(s): "3447"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

9 7
1 3 2 4 6 5 7 8 9

output:

3

result:

ok 1 number(s): "3"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3832kb

input:

9 5
1 2 3 4 5 6 7 9 8

output:

531

result:

ok 1 number(s): "531"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

9 9
1 4 3 2 5 6 7 8 9

output:

1

result:

ok 1 number(s): "1"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

9 2
1 2 3 4 5 6 7 9 8

output:

29093

result:

ok 1 number(s): "29093"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

9 4
1 2 3 4 5 6 7 9 8

output:

2109

result:

ok 1 number(s): "2109"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

9 8
1 2 3 5 4 7 6 8 9

output:

4

result:

ok 1 number(s): "4"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

9 7
1 2 3 4 5 7 6 9 8

output:

23

result:

ok 1 number(s): "23"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

9 7
1 2 3 4 5 7 6 9 8

output:

23

result:

ok 1 number(s): "23"

Subtask #3:

score: 30
Accepted

Test #21:

score: 30
Accepted
time: 26ms
memory: 4668kb

input:

500 369
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

151242732

result:

ok 1 number(s): "151242732"

Test #22:

score: 0
Accepted
time: 58ms
memory: 4372kb

input:

500 261
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

175105582

result:

ok 1 number(s): "175105582"

Test #23:

score: 0
Accepted
time: 54ms
memory: 4048kb

input:

500 79
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

328555836

result:

ok 1 number(s): "328555836"

Test #24:

score: 0
Accepted
time: 46ms
memory: 4416kb

input:

500 306
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

738246233

result:

ok 1 number(s): "738246233"

Test #25:

score: 0
Accepted
time: 50ms
memory: 4516kb

input:

500 291
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

90157368

result:

ok 1 number(s): "90157368"

Test #26:

score: 0
Accepted
time: 57ms
memory: 4456kb

input:

500 268
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

582110163

result:

ok 1 number(s): "582110163"

Test #27:

score: 0
Accepted
time: 49ms
memory: 4384kb

input:

500 295
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

551109392

result:

ok 1 number(s): "551109392"

Test #28:

score: 0
Accepted
time: 69ms
memory: 4176kb

input:

500 137
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

709320534

result:

ok 1 number(s): "709320534"

Test #29:

score: 0
Accepted
time: 47ms
memory: 4052kb

input:

500 66
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

735053639

result:

ok 1 number(s): "735053639"

Test #30:

score: 0
Accepted
time: 64ms
memory: 4352kb

input:

500 233
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

676167049

result:

ok 1 number(s): "676167049"

Subtask #4:

score: 40
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Test #31:

score: 40
Accepted
time: 70ms
memory: 4304kb

input:

500 198
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

830163792

result:

ok 1 number(s): "830163792"

Test #32:

score: 0
Accepted
time: 4ms
memory: 4784kb

input:

500 432
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 80 78 79 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

409343845

result:

ok 1 number(s): "409343845"

Test #33:

score: 0
Accepted
time: 37ms
memory: 4420kb

input:

500 265
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

194041644

result:

ok 1 number(s): "194041644"

Test #34:

score: 0
Accepted
time: 67ms
memory: 4272kb

input:

500 173
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

526227080

result:

ok 1 number(s): "526227080"

Test #35:

score: 0
Accepted
time: 0ms
memory: 4844kb

input:

500 483
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

614441401

result:

ok 1 number(s): "614441401"

Test #36:

score: 0
Accepted
time: 38ms
memory: 4340kb

input:

500 243
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

284882224

result:

ok 1 number(s): "284882224"

Test #37:

score: 0
Accepted
time: 28ms
memory: 4412kb

input:

500 282
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

308933889

result:

ok 1 number(s): "308933889"

Test #38:

score: 0
Accepted
time: 32ms
memory: 4344kb

input:

500 231
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

131213230

result:

ok 1 number(s): "131213230"

Test #39:

score: 0
Accepted
time: 6ms
memory: 4572kb

input:

500 415
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 100 99 ...

output:

590026968

result:

ok 1 number(s): "590026968"

Test #40:

score: 0
Accepted
time: 15ms
memory: 4608kb

input:

500 344
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

124432123

result:

ok 1 number(s): "124432123"