QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#375092 | #7766. 栞 | zyc070419 | 100 ✓ | 70ms | 4844kb | C++20 | 1.5kb | 2024-04-02 21:27:57 | 2024-04-02 21:27:58 |
Judging History
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"