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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#16973#834. Disjoint LISTOLAC ✓377ms3852kbC++201019b2021-12-30 15:33:452022-05-04 12:25:46

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-05-04 12:25:46]
  • 评测
  • 测评结果:AC
  • 用时:377ms
  • 内存:3852kb
  • [2021-12-30 15:33:45]
  • 提交

answer

#include <bits/stdc++.h>
#define MOD 998244353

using namespace std;

typedef long long ll;

ll pow_mod(ll x,int k) {
  ll ans=1;
  while (k) {
  	if (k&1) ans=ans*x%MOD;
  	x=x*x%MOD;
  	k>>=1;
  }
  return ans;
}

ll inv[80],facd[80];

void pre(int n) {
  inv[1]=1;
  for(int i=2;i<=n;i++) inv[i]=(MOD-MOD/i)*inv[MOD%i]%MOD;
  facd[0]=1;
  for(int i=1;i<=n;i++) facd[i]=facd[i-1]*i%MOD;
}

int p[80],q[80],ans;

void calc(int d,int n) {
  for(int i=1;i<=n;i++) q[i]=0;
  for(int i=1;i<=d;i++) q[p[i]]++;
  for(int i=n-1;i>0;i--) q[i]+=q[i+1]; 
  ll s=facd[n];
  for(int i=1;i<=d;i++)
    for(int j=1;j<=p[i];j++) s=s*inv[p[i]-j+q[j]-i+1]%MOD;
  ans=(ans+s*s)%MOD;
}

void dfs(int d,int s,int up,int n) {
  if (!s) calc(d-1,n);
  for(int i=1;i<=s&&i<=up;i++) {
  	p[d]=i;
  	dfs(d+1,s-i,i,n);
  } 
}

int main() {
  int n;
  scanf("%d",&n);
  pre(n);
  for(int i=1;i<=(n>>1);i++) {
  	p[1]=p[2]=i;
  	dfs(3,n-2*i,i,n);
  }
  printf("%d\n",ans);
  return 0;
}


Details

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Test #1:

score: 100
Accepted
time: 3ms
memory: 3692kb

input:

6

output:

132

result:

ok 1 number(s): "132"

Test #2:

score: 0
Accepted
time: 3ms
memory: 3776kb

input:

1

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 2ms
memory: 3820kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #4:

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

input:

3

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 2ms
memory: 3780kb

input:

4

output:

5

result:

ok 1 number(s): "5"

Test #6:

score: 0
Accepted
time: 2ms
memory: 3780kb

input:

5

output:

26

result:

ok 1 number(s): "26"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3852kb

input:

7

output:

834

result:

ok 1 number(s): "834"

Test #8:

score: 0
Accepted
time: 3ms
memory: 3648kb

input:

8

output:

6477

result:

ok 1 number(s): "6477"

Test #9:

score: 0
Accepted
time: 3ms
memory: 3792kb

input:

9

output:

56242

result:

ok 1 number(s): "56242"

Test #10:

score: 0
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time: 3ms
memory: 3760kb

input:

10

output:

532712

result:

ok 1 number(s): "532712"

Test #11:

score: 0
Accepted
time: 3ms
memory: 3764kb

input:

11

output:

5561524

result:

ok 1 number(s): "5561524"

Test #12:

score: 0
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time: 3ms
memory: 3788kb

input:

12

output:

64098432

result:

ok 1 number(s): "64098432"

Test #13:

score: 0
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time: 3ms
memory: 3736kb

input:

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output:

806184757

result:

ok 1 number(s): "806184757"

Test #14:

score: 0
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time: 3ms
memory: 3736kb

input:

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output:

948233294

result:

ok 1 number(s): "948233294"

Test #15:

score: 0
Accepted
time: 3ms
memory: 3792kb

input:

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output:

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result:

ok 1 number(s): "989748344"

Test #16:

score: 0
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time: 3ms
memory: 3716kb

input:

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output:

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result:

ok 1 number(s): "143602156"

Test #17:

score: 0
Accepted
time: 3ms
memory: 3780kb

input:

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output:

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result:

ok 1 number(s): "634648323"

Test #18:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

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output:

421103776

result:

ok 1 number(s): "421103776"

Test #19:

score: 0
Accepted
time: 2ms
memory: 3716kb

input:

19

output:

925864750

result:

ok 1 number(s): "925864750"

Test #20:

score: 0
Accepted
time: 2ms
memory: 3800kb

input:

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output:

797907052

result:

ok 1 number(s): "797907052"

Test #21:

score: 0
Accepted
time: 3ms
memory: 3716kb

input:

21

output:

912638617

result:

ok 1 number(s): "912638617"

Test #22:

score: 0
Accepted
time: 3ms
memory: 3712kb

input:

22

output:

772780014

result:

ok 1 number(s): "772780014"

Test #23:

score: 0
Accepted
time: 3ms
memory: 3788kb

input:

23

output:

386111399

result:

ok 1 number(s): "386111399"

Test #24:

score: 0
Accepted
time: 3ms
memory: 3780kb

input:

24

output:

327774735

result:

ok 1 number(s): "327774735"

Test #25:

score: 0
Accepted
time: 2ms
memory: 3848kb

input:

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output:

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result:

ok 1 number(s): "845702948"

Test #26:

score: 0
Accepted
time: 2ms
memory: 3848kb

input:

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output:

791619521

result:

ok 1 number(s): "791619521"

Test #27:

score: 0
Accepted
time: 2ms
memory: 3644kb

input:

27

output:

878631164

result:

ok 1 number(s): "878631164"

Test #28:

score: 0
Accepted
time: 2ms
memory: 3780kb

input:

28

output:

37336541

result:

ok 1 number(s): "37336541"

Test #29:

score: 0
Accepted
time: 3ms
memory: 3792kb

input:

29

output:

165629590

result:

ok 1 number(s): "165629590"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

30

output:

969299909

result:

ok 1 number(s): "969299909"

Test #31:

score: 0
Accepted
time: 3ms
memory: 3852kb

input:

31

output:

774782650

result:

ok 1 number(s): "774782650"

Test #32:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

32

output:

860045241

result:

ok 1 number(s): "860045241"

Test #33:

score: 0
Accepted
time: 1ms
memory: 3800kb

input:

33

output:

866378903

result:

ok 1 number(s): "866378903"

Test #34:

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

input:

34

output:

492112739

result:

ok 1 number(s): "492112739"

Test #35:

score: 0
Accepted
time: 3ms
memory: 3812kb

input:

35

output:

824431980

result:

ok 1 number(s): "824431980"

Test #36:

score: 0
Accepted
time: 3ms
memory: 3812kb

input:

36

output:

949969944

result:

ok 1 number(s): "949969944"

Test #37:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

37

output:

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result:

ok 1 number(s): "970248926"

Test #38:

score: 0
Accepted
time: 1ms
memory: 3716kb

input:

38

output:

278772092

result:

ok 1 number(s): "278772092"

Test #39:

score: 0
Accepted
time: 4ms
memory: 3780kb

input:

39

output:

118910029

result:

ok 1 number(s): "118910029"

Test #40:

score: 0
Accepted
time: 4ms
memory: 3780kb

input:

40

output:

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result:

ok 1 number(s): "190687907"

Test #41:

score: 0
Accepted
time: 4ms
memory: 3788kb

input:

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output:

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result:

ok 1 number(s): "976616702"

Test #42:

score: 0
Accepted
time: 4ms
memory: 3780kb

input:

42

output:

231648679

result:

ok 1 number(s): "231648679"

Test #43:

score: 0
Accepted
time: 2ms
memory: 3780kb

input:

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output:

722078798

result:

ok 1 number(s): "722078798"

Test #44:

score: 0
Accepted
time: 5ms
memory: 3692kb

input:

44

output:

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result:

ok 1 number(s): "677622359"

Test #45:

score: 0
Accepted
time: 6ms
memory: 3760kb

input:

45

output:

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result:

ok 1 number(s): "166145100"

Test #46:

score: 0
Accepted
time: 6ms
memory: 3692kb

input:

46

output:

322790432

result:

ok 1 number(s): "322790432"

Test #47:

score: 0
Accepted
time: 7ms
memory: 3784kb

input:

47

output:

114852733

result:

ok 1 number(s): "114852733"

Test #48:

score: 0
Accepted
time: 5ms
memory: 3852kb

input:

48

output:

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result:

ok 1 number(s): "809056236"

Test #49:

score: 0
Accepted
time: 9ms
memory: 3784kb

input:

49

output:

133146712

result:

ok 1 number(s): "133146712"

Test #50:

score: 0
Accepted
time: 16ms
memory: 3764kb

input:

50

output:

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result:

ok 1 number(s): "978647108"

Test #51:

score: 0
Accepted
time: 6ms
memory: 3768kb

input:

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output:

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result:

ok 1 number(s): "363079147"

Test #52:

score: 0
Accepted
time: 10ms
memory: 3792kb

input:

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output:

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result:

ok 1 number(s): "447411358"

Test #53:

score: 0
Accepted
time: 11ms
memory: 3812kb

input:

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output:

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result:

ok 1 number(s): "261833982"

Test #54:

score: 0
Accepted
time: 14ms
memory: 3648kb

input:

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output:

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result:

ok 1 number(s): "586593658"

Test #55:

score: 0
Accepted
time: 20ms
memory: 3852kb

input:

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output:

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result:

ok 1 number(s): "543018772"

Test #56:

score: 0
Accepted
time: 24ms
memory: 3760kb

input:

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output:

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result:

ok 1 number(s): "281510931"

Test #57:

score: 0
Accepted
time: 21ms
memory: 3784kb

input:

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output:

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result:

ok 1 number(s): "509498959"

Test #58:

score: 0
Accepted
time: 32ms
memory: 3644kb

input:

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output:

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result:

ok 1 number(s): "499059113"

Test #59:

score: 0
Accepted
time: 37ms
memory: 3692kb

input:

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output:

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result:

ok 1 number(s): "216456979"

Test #60:

score: 0
Accepted
time: 42ms
memory: 3764kb

input:

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output:

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result:

ok 1 number(s): "892597175"

Test #61:

score: 0
Accepted
time: 45ms
memory: 3764kb

input:

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output:

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result:

ok 1 number(s): "288388296"

Test #62:

score: 0
Accepted
time: 57ms
memory: 3712kb

input:

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output:

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result:

ok 1 number(s): "782889761"

Test #63:

score: 0
Accepted
time: 67ms
memory: 3792kb

input:

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output:

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result:

ok 1 number(s): "259994934"

Test #64:

score: 0
Accepted
time: 73ms
memory: 3800kb

input:

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output:

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result:

ok 1 number(s): "668319048"

Test #65:

score: 0
Accepted
time: 85ms
memory: 3852kb

input:

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output:

447568639

result:

ok 1 number(s): "447568639"

Test #66:

score: 0
Accepted
time: 105ms
memory: 3776kb

input:

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output:

974154792

result:

ok 1 number(s): "974154792"

Test #67:

score: 0
Accepted
time: 119ms
memory: 3812kb

input:

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output:

434978721

result:

ok 1 number(s): "434978721"

Test #68:

score: 0
Accepted
time: 145ms
memory: 3688kb

input:

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output:

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result:

ok 1 number(s): "809640594"

Test #69:

score: 0
Accepted
time: 167ms
memory: 3812kb

input:

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output:

541844549

result:

ok 1 number(s): "541844549"

Test #70:

score: 0
Accepted
time: 184ms
memory: 3768kb

input:

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output:

9840250

result:

ok 1 number(s): "9840250"

Test #71:

score: 0
Accepted
time: 214ms
memory: 3800kb

input:

71

output:

275431656

result:

ok 1 number(s): "275431656"

Test #72:

score: 0
Accepted
time: 242ms
memory: 3760kb

input:

72

output:

31040948

result:

ok 1 number(s): "31040948"

Test #73:

score: 0
Accepted
time: 289ms
memory: 3788kb

input:

73

output:

964592956

result:

ok 1 number(s): "964592956"

Test #74:

score: 0
Accepted
time: 328ms
memory: 3768kb

input:

74

output:

743394989

result:

ok 1 number(s): "743394989"

Test #75:

score: 0
Accepted
time: 377ms
memory: 3792kb

input:

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output:

89362287

result:

ok 1 number(s): "89362287"