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#455378#834. Disjoint LISzltAC ✓377ms3948kbC++141.5kb2024-06-26 12:51:512024-06-26 12:51:51

Judging History

你现在查看的是最新测评结果

  • [2024-06-26 12:51:51]
  • 评测
  • 测评结果:AC
  • 用时:377ms
  • 内存:3948kb
  • [2024-06-26 12:51:51]
  • 提交

answer

// Problem: D. Disjoint LIS
// Contest: Codeforces - 300iq Contest 3
// URL: https://codeforces.com/gym/102538/problem/D
// Memory Limit: 512 MB
// Time Limit: 3000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

#include <bits/stdc++.h>
#define pb emplace_back
#define fst first
#define scd second
#define mkp make_pair
#define mems(a, x) memset((a), (x), sizeof(a))

using namespace std;
typedef long long ll;
typedef double db;
typedef unsigned long long ull;
typedef long double ldb;
typedef pair<ll, ll> pii;

const int maxn = 80;
const ll mod = 998244353;

ll n, F = 1, inv[maxn], a[maxn], ans, b[maxn];

void dfs(int d, int s, int lst) {
	if (s == n) {
		if (a[d - 1] != a[d - 2]) {
			return;
		}
		for (int i = 1; i <= n; ++i) {
			b[i] = 0;
		}
		ll res = F;
		for (int i = 1; i < d; ++i) {
			for (int j = 1; j <= a[i]; ++j) {
				++b[j];
				res = res * inv[b[j] + a[i] - j] % mod;
			}
		}
		ans = (ans + res * res) % mod;
		return;
	}
	for (int i = lst; s + i <= n; ++i) {
		if (s + i < n && s + i + i > n) {
			continue;
		}
		a[d] = i;
		dfs(d + 1, s + i, i);
	}
}

void solve() {
	scanf("%lld", &n);
	if (n == 1) {
		puts("0");
		return;
	}
	inv[1] = 1;
	for (int i = 2; i <= n; ++i) {
		F = F * i % mod;
		inv[i] = (mod - mod / i) * inv[mod % i] % mod;
	}
	dfs(1, 0, 1);
	printf("%lld\n", ans);
}

int main() {
	int T = 1;
	// scanf("%d", &T);
	while (T--) {
		solve();
	}
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3800kb

input:

6

output:

132

result:

ok 1 number(s): "132"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

1

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

3

output:

1

result:

ok 1 number(s): "1"

Test #5:

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

input:

4

output:

5

result:

ok 1 number(s): "5"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

5

output:

26

result:

ok 1 number(s): "26"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

7

output:

834

result:

ok 1 number(s): "834"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

8

output:

6477

result:

ok 1 number(s): "6477"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

9

output:

56242

result:

ok 1 number(s): "56242"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

10

output:

532712

result:

ok 1 number(s): "532712"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

11

output:

5561524

result:

ok 1 number(s): "5561524"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

12

output:

64098432

result:

ok 1 number(s): "64098432"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

13

output:

806184757

result:

ok 1 number(s): "806184757"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3812kb

input:

14

output:

948233294

result:

ok 1 number(s): "948233294"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

15

output:

989748344

result:

ok 1 number(s): "989748344"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3948kb

input:

16

output:

143602156

result:

ok 1 number(s): "143602156"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

17

output:

634648323

result:

ok 1 number(s): "634648323"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

18

output:

421103776

result:

ok 1 number(s): "421103776"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

19

output:

925864750

result:

ok 1 number(s): "925864750"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

20

output:

797907052

result:

ok 1 number(s): "797907052"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

21

output:

912638617

result:

ok 1 number(s): "912638617"

Test #22:

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

input:

22

output:

772780014

result:

ok 1 number(s): "772780014"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

23

output:

386111399

result:

ok 1 number(s): "386111399"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

24

output:

327774735

result:

ok 1 number(s): "327774735"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

25

output:

845702948

result:

ok 1 number(s): "845702948"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

26

output:

791619521

result:

ok 1 number(s): "791619521"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

27

output:

878631164

result:

ok 1 number(s): "878631164"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

28

output:

37336541

result:

ok 1 number(s): "37336541"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

29

output:

165629590

result:

ok 1 number(s): "165629590"

Test #30:

score: 0
Accepted
time: 1ms
memory: 3876kb

input:

30

output:

969299909

result:

ok 1 number(s): "969299909"

Test #31:

score: 0
Accepted
time: 1ms
memory: 3796kb

input:

31

output:

774782650

result:

ok 1 number(s): "774782650"

Test #32:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

32

output:

860045241

result:

ok 1 number(s): "860045241"

Test #33:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

33

output:

866378903

result:

ok 1 number(s): "866378903"

Test #34:

score: 0
Accepted
time: 1ms
memory: 3752kb

input:

34

output:

492112739

result:

ok 1 number(s): "492112739"

Test #35:

score: 0
Accepted
time: 1ms
memory: 3944kb

input:

35

output:

824431980

result:

ok 1 number(s): "824431980"

Test #36:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

36

output:

949969944

result:

ok 1 number(s): "949969944"

Test #37:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

37

output:

970248926

result:

ok 1 number(s): "970248926"

Test #38:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

38

output:

278772092

result:

ok 1 number(s): "278772092"

Test #39:

score: 0
Accepted
time: 1ms
memory: 3944kb

input:

39

output:

118910029

result:

ok 1 number(s): "118910029"

Test #40:

score: 0
Accepted
time: 2ms
memory: 3792kb

input:

40

output:

190687907

result:

ok 1 number(s): "190687907"

Test #41:

score: 0
Accepted
time: 2ms
memory: 3788kb

input:

41

output:

976616702

result:

ok 1 number(s): "976616702"

Test #42:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

42

output:

231648679

result:

ok 1 number(s): "231648679"

Test #43:

score: 0
Accepted
time: 3ms
memory: 3944kb

input:

43

output:

722078798

result:

ok 1 number(s): "722078798"

Test #44:

score: 0
Accepted
time: 3ms
memory: 3752kb

input:

44

output:

677622359

result:

ok 1 number(s): "677622359"

Test #45:

score: 0
Accepted
time: 4ms
memory: 3940kb

input:

45

output:

166145100

result:

ok 1 number(s): "166145100"

Test #46:

score: 0
Accepted
time: 4ms
memory: 3872kb

input:

46

output:

322790432

result:

ok 1 number(s): "322790432"

Test #47:

score: 0
Accepted
time: 5ms
memory: 3884kb

input:

47

output:

114852733

result:

ok 1 number(s): "114852733"

Test #48:

score: 0
Accepted
time: 6ms
memory: 3748kb

input:

48

output:

809056236

result:

ok 1 number(s): "809056236"

Test #49:

score: 0
Accepted
time: 7ms
memory: 3940kb

input:

49

output:

133146712

result:

ok 1 number(s): "133146712"

Test #50:

score: 0
Accepted
time: 5ms
memory: 3876kb

input:

50

output:

978647108

result:

ok 1 number(s): "978647108"

Test #51:

score: 0
Accepted
time: 10ms
memory: 3844kb

input:

51

output:

363079147

result:

ok 1 number(s): "363079147"

Test #52:

score: 0
Accepted
time: 11ms
memory: 3756kb

input:

52

output:

447411358

result:

ok 1 number(s): "447411358"

Test #53:

score: 0
Accepted
time: 13ms
memory: 3948kb

input:

53

output:

261833982

result:

ok 1 number(s): "261833982"

Test #54:

score: 0
Accepted
time: 16ms
memory: 3880kb

input:

54

output:

586593658

result:

ok 1 number(s): "586593658"

Test #55:

score: 0
Accepted
time: 19ms
memory: 3864kb

input:

55

output:

543018772

result:

ok 1 number(s): "543018772"

Test #56:

score: 0
Accepted
time: 22ms
memory: 3940kb

input:

56

output:

281510931

result:

ok 1 number(s): "281510931"

Test #57:

score: 0
Accepted
time: 26ms
memory: 3808kb

input:

57

output:

509498959

result:

ok 1 number(s): "509498959"

Test #58:

score: 0
Accepted
time: 30ms
memory: 3948kb

input:

58

output:

499059113

result:

ok 1 number(s): "499059113"

Test #59:

score: 0
Accepted
time: 35ms
memory: 3868kb

input:

59

output:

216456979

result:

ok 1 number(s): "216456979"

Test #60:

score: 0
Accepted
time: 41ms
memory: 3848kb

input:

60

output:

892597175

result:

ok 1 number(s): "892597175"

Test #61:

score: 0
Accepted
time: 48ms
memory: 3784kb

input:

61

output:

288388296

result:

ok 1 number(s): "288388296"

Test #62:

score: 0
Accepted
time: 56ms
memory: 3752kb

input:

62

output:

782889761

result:

ok 1 number(s): "782889761"

Test #63:

score: 0
Accepted
time: 65ms
memory: 3868kb

input:

63

output:

259994934

result:

ok 1 number(s): "259994934"

Test #64:

score: 0
Accepted
time: 76ms
memory: 3872kb

input:

64

output:

668319048

result:

ok 1 number(s): "668319048"

Test #65:

score: 0
Accepted
time: 89ms
memory: 3752kb

input:

65

output:

447568639

result:

ok 1 number(s): "447568639"

Test #66:

score: 0
Accepted
time: 103ms
memory: 3756kb

input:

66

output:

974154792

result:

ok 1 number(s): "974154792"

Test #67:

score: 0
Accepted
time: 120ms
memory: 3752kb

input:

67

output:

434978721

result:

ok 1 number(s): "434978721"

Test #68:

score: 0
Accepted
time: 130ms
memory: 3876kb

input:

68

output:

809640594

result:

ok 1 number(s): "809640594"

Test #69:

score: 0
Accepted
time: 160ms
memory: 3940kb

input:

69

output:

541844549

result:

ok 1 number(s): "541844549"

Test #70:

score: 0
Accepted
time: 186ms
memory: 3876kb

input:

70

output:

9840250

result:

ok 1 number(s): "9840250"

Test #71:

score: 0
Accepted
time: 211ms
memory: 3796kb

input:

71

output:

275431656

result:

ok 1 number(s): "275431656"

Test #72:

score: 0
Accepted
time: 249ms
memory: 3860kb

input:

72

output:

31040948

result:

ok 1 number(s): "31040948"

Test #73:

score: 0
Accepted
time: 287ms
memory: 3756kb

input:

73

output:

964592956

result:

ok 1 number(s): "964592956"

Test #74:

score: 0
Accepted
time: 327ms
memory: 3860kb

input:

74

output:

743394989

result:

ok 1 number(s): "743394989"

Test #75:

score: 0
Accepted
time: 377ms
memory: 3868kb

input:

75

output:

89362287

result:

ok 1 number(s): "89362287"