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#764418#7864. Random Tree ParkingmasonpopAC ✓72ms29236kbC++141.7kb2024-11-20 09:03:472024-11-20 10:10:23

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 10:10:23]
  • 管理员手动重测本题所有得分≥97分的提交记录
  • 测评结果：AC
  • 用时：72ms
  • 内存：29236kb
查看
  • [2024-11-20 09:38:39]
  • 管理员手动重测本题所有得分≥97分的提交记录
  • 测评结果：100
  • 用时：59ms
  • 内存：29488kb
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  • [2024-11-20 09:03:52]
  • 评测
  • 测评结果：97
  • 用时：61ms
  • 内存：29304kb
查看
  • [2024-11-20 09:03:47]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int mod=998244353;
const int maxn=1e5+10;
int n,x,y,dep[maxn],siz[maxn],fac[maxn],ifac[maxn];
vector<int> v[maxn],f[maxn];
inline int qpow(int a,int b)
{
	int res=1;
	while(b)
	{
		if(b&1)res=res*a%mod;
		a=a*a%mod;
		b>>=1;
	}
	return res;
}
inline void init()
{
	fac[0]=ifac[0]=1;
	for(int i=1;i<maxn;i++)fac[i]=fac[i-1]*i%mod;
	ifac[maxn-1]=qpow(fac[maxn-1],mod-2);
	for(int i=maxn-2;i>=1;i--)ifac[i]=ifac[i+1]*(i+1)%mod;
}
inline void dfs1(int x,int fa)
{
	dep[x]=dep[fa]+1;
	for(int i=0;i<v[x].size();i++)
	{
		int y=v[x][i];
		if(y!=fa)dfs1(y,x);
	}
}
inline void dfs2(int x,int fa)
{
	f[x].resize(dep[x]+5);
	vector<int> tmp(dep[x]+5);tmp[0]=1;
	if(v[x].size()==0)
	{
		for(int i=1;i<=dep[x]+1;i++)f[x][i-1]=ifac[i];
		return;
	}
	int fl=0;
	for(int i=0;i<v[x].size();i++)
	{
		int y=v[x][i];
		if(y==fa)continue;
		dfs2(y,x);
		if(!fl)
		{
			for(int j=0;j<=dep[y]+1;j++)tmp[j]=f[y][j];
			fl=1;continue;
		}
		vector<int> itmp(dep[x]+5);
		for(int j=dep[x]+1;j>=0;j--)
		{
			for(int k=0;k<=dep[y]+1;k++)
			{
				if(j+k>dep[x]+1)continue;
				itmp[j+k]=(itmp[j+k]+tmp[j]*f[y][k])%mod;
			}
		}
		itmp.swap(tmp);
	}
//	if(x==1)
//	{
//		for(int i=0;i<=2;i++)printf("tmp %d:%d\n",i,tmp[i]);
//	}
	for(int i=0;i<=dep[x]+1;i++)
	{
		for(int j=0;j<=dep[x]+1;j++)
		{
			int w=i+j-1;
			if(w<0 || w>dep[x])continue;
			f[x][w]=(f[x][w]+tmp[i]*ifac[j])%mod;
		}
	}
}
signed main()
{
	scanf("%lld",&n);init();
	for(int i=2;i<=n;i++)scanf("%lld",&x),v[x].push_back(i);
	dfs1(1,0);dfs2(1,0);
	printf("%lld\n",((f[1][0]*fac[n]%mod+mod)%mod));
	return 0;
}
源文件, 语言: C++14

详细

Test #1:

score: 100
Accepted
time: 3ms
memory: 10728kb

input:

3
1 1

output:

12

result:

ok 1 number(s): "12"

Test #2:

score: 0
Accepted
time: 0ms
memory: 10360kb

input:

3
1 2

output:

16

result:

ok 1 number(s): "16"

Test #3:

score: 0
Accepted
time: 3ms
memory: 10356kb

input:

4
1 2 3

output:

125

result:

ok 1 number(s): "125"

Test #4:

score: 0
Accepted
time: 0ms
memory: 11200kb

input:

8
1 2 3 1 3 4 3

output:

1198736

result:

ok 1 number(s): "1198736"

Test #5:

score: 0
Accepted
time: 3ms
memory: 10072kb

input:

15
1 2 2 2 2 3 3 2 7 7 3 10 3 13

output:

938578089

result:

ok 1 number(s): "938578089"

Test #6:

score: 0
Accepted
time: 3ms
memory: 11332kb

input:

100
1 1 1 3 5 5 5 5 9 9 3 2 11 14 9 8 16 8 18 18 20 10 12 2 22 21 27 28 29 6 2 21 2 20 21 11 16 19 9 25 39 8 14 19 6 38 22 19 25 13 3 27 19 51 23 18 45 30 30 22 24 16 12 61 42 24 3 3 53 40 59 72 6 23 1 64 41 13 71 75 30 64 11 55 70 60 32 84 25 4 69 49 15 42 72 31 71 23 58

output:

426063005

result:

ok 1 number(s): "426063005"

Test #7:

score: 0
Accepted
time: 0ms
memory: 11424kb

input:

500
1 1 3 3 3 4 3 5 2 5 8 4 12 11 8 14 1 12 7 16 7 7 17 10 8 26 7 4 13 21 6 7 20 34 35 24 25 23 25 39 20 30 13 43 43 35 45 34 7 4 11 23 11 43 35 27 6 2 3 11 37 42 27 37 62 42 41 43 63 4 57 17 18 8 11 23 72 74 41 49 76 44 50 81 46 18 45 5 8 88 77 27 35 11 52 18 32 85 57 25 32 22 39 35 43 26 63 7 62 2...

output:

105022837

result:

ok 1 number(s): "105022837"

Test #8:

score: 0
Accepted
time: 3ms
memory: 11100kb

input:

2000
1 1 2 4 4 4 1 5 9 4 5 9 9 4 15 1 11 18 11 2 4 22 10 23 18 15 6 25 25 19 15 28 32 17 29 24 35 11 32 20 25 8 7 12 27 29 40 21 23 47 24 8 6 24 53 43 9 10 48 18 16 16 10 45 42 33 20 27 33 47 41 22 37 4 38 23 8 29 14 54 49 74 60 56 45 32 11 4 58 16 71 29 49 32 31 95 38 2 89 73 91 65 26 12 94 35 1 73...

output:

510693456

result:

ok 1 number(s): "510693456"

Test #9:

score: 0
Accepted
time: 3ms
memory: 12268kb

input:

10000
1 2 1 1 2 1 4 3 5 6 1 8 8 3 2 15 4 14 10 9 9 15 17 5 21 9 11 24 17 20 17 16 4 13 10 10 36 2 8 29 34 40 8 13 27 5 1 18 16 4 40 47 4 8 9 1 54 40 38 41 46 52 31 21 21 14 49 49 46 22 14 59 71 37 30 18 37 30 36 56 24 56 48 17 75 68 68 6 65 87 48 52 8 26 94 89 29 32 40 77 51 6 9 78 1 48 100 69 85 89...

output:

158503783

result:

ok 1 number(s): "158503783"

Test #10:

score: 0
Accepted
time: 72ms
memory: 29236kb

input:

100000
1 1 1 2 4 4 7 8 6 9 7 8 12 10 15 15 9 12 9 16 9 13 11 18 11 8 6 23 22 28 8 29 12 24 14 9 33 5 17 4 33 29 41 19 37 34 19 41 15 21 20 13 36 25 34 38 2 56 33 53 40 36 26 28 34 7 19 66 35 43 52 47 53 32 61 11 55 10 78 75 43 80 71 16 20 68 27 41 80 33 69 50 71 7 5 26 24 78 62 17 76 15 10 11 56 64 ...

output:

937583571

result:

ok 1 number(s): "937583571"

Test #11:

score: 0
Accepted
time: 51ms
memory: 27772kb

input:

100000
1 2 1 2 5 3 5 4 6 8 2 1 6 2 5 5 1 6 12 12 15 11 23 3 4 13 3 22 8 5 13 12 10 9 6 27 37 22 14 24 12 26 15 30 2 27 43 4 47 9 42 5 33 26 13 54 17 32 23 15 34 36 14 49 41 25 14 35 22 35 51 50 17 22 38 54 71 41 69 44 61 18 77 3 78 53 74 70 67 8 18 10 88 2 1 74 36 15 76 62 7 70 89 24 72 77 15 44 49 ...

output:

264669337

result:

ok 1 number(s): "264669337"

Test #12:

score: 0
Accepted
time: 67ms
memory: 27400kb

input:

100000
1 1 3 2 2 6 7 6 3 4 10 1 2 14 12 16 3 2 19 20 3 2 12 17 6 17 16 9 27 18 23 21 2 31 18 13 6 17 39 13 25 18 29 11 42 17 10 34 22 9 33 31 52 45 5 54 43 52 56 4 5 47 63 51 41 54 28 65 31 70 2 63 59 53 53 40 39 5 46 71 13 6 41 31 57 4 82 62 78 59 87 72 92 9 5 69 90 92 19 15 78 41 39 23 12 1 47 49 ...

output:

399299126

result:

ok 1 number(s): "399299126"

Test #13:

score: 0
Accepted
time: 59ms
memory: 27388kb

input:

100000
1 1 1 4 5 5 3 7 6 1 7 8 8 11 11 13 7 7 1 1 13 20 21 22 22 19 8 2 29 28 4 27 8 16 30 4 5 14 21 35 29 32 35 22 14 23 41 24 33 12 31 39 4 40 24 5 38 46 20 23 37 5 27 39 32 41 26 50 33 15 50 40 40 23 52 58 31 16 25 60 36 72 29 33 48 1 82 1 25 57 15 69 5 78 29 81 36 46 97 38 15 7 39 51 19 80 29 77...

output:

58289876

result:

ok 1 number(s): "58289876"

Test #14:

score: 0
Accepted
time: 57ms
memory: 27036kb

input:

100000
1 1 1 1 4 1 7 2 4 8 6 3 2 9 15 15 5 5 7 1 12 15 4 19 7 8 15 21 26 28 13 20 14 21 30 27 21 2 3 14 1 33 33 8 41 25 11 38 35 35 35 5 16 29 16 9 24 39 13 12 3 58 20 44 3 43 53 57 13 23 44 43 14 4 23 69 27 73 22 55 25 64 52 40 71 48 56 56 8 68 27 30 92 46 18 7 58 30 65 69 61 55 38 92 33 102 80 2 2...

output:

861492056

result:

ok 1 number(s): "861492056"

Test #15:

score: 0
Accepted
time: 65ms
memory: 27216kb

input:

100000
1 1 2 3 2 2 5 8 7 4 1 3 5 11 15 2 9 8 19 5 19 11 15 19 19 11 26 3 13 15 30 1 18 28 16 33 9 23 15 2 3 36 7 11 44 31 40 15 46 7 8 5 23 36 22 12 2 28 23 14 11 40 21 18 60 24 32 42 50 57 21 27 60 54 9 63 76 56 22 59 40 41 31 58 27 68 10 45 70 54 46 29 68 6 4 61 11 7 60 56 69 92 69 5 88 71 46 21 7...

output:

528382031

result:

ok 1 number(s): "528382031"

Test #16:

score: 0
Accepted
time: 51ms
memory: 27740kb

input:

100000
1 1 3 1 1 5 4 5 3 3 6 4 1 8 10 15 5 14 5 16 9 13 14 13 8 15 26 17 1 21 11 31 18 16 21 27 14 32 9 27 30 30 3 41 33 26 47 25 26 6 24 15 11 15 6 49 48 25 23 56 3 38 31 28 54 14 17 45 60 64 24 21 14 30 20 30 38 8 13 43 37 11 83 78 75 12 30 66 37 85 24 77 72 71 49 78 88 73 25 68 19 51 79 43 93 21 ...

output:

316789948

result:

ok 1 number(s): "316789948"

Test #17:

score: 0
Accepted
time: 64ms
memory: 27468kb

input:

100000
1 2 1 2 5 4 3 8 5 8 7 6 3 10 15 12 10 4 17 15 16 13 11 1 15 10 4 16 21 11 25 11 15 4 9 21 18 16 17 29 39 3 39 1 34 5 1 14 44 5 15 16 12 15 42 28 45 32 8 33 7 32 61 9 8 34 54 66 59 61 51 51 37 40 30 61 36 36 45 18 75 27 27 45 45 53 50 77 26 89 72 41 15 18 56 53 64 6 34 33 9 90 41 50 8 4 58 101...

output:

846732448

result:

ok 1 number(s): "846732448"

Test #18:

score: 0
Accepted
time: 54ms
memory: 27284kb

input:

100000
1 1 1 3 3 6 5 7 1 3 11 6 3 2 4 4 12 1 6 10 15 8 8 20 24 10 3 5 25 4 10 13 18 30 19 11 9 6 8 24 16 5 17 2 42 33 35 3 26 42 7 42 30 17 6 41 57 53 8 19 41 50 4 16 13 45 28 50 53 22 20 2 9 30 62 25 43 76 2 41 67 74 16 2 43 64 17 28 61 15 35 33 12 60 29 64 51 33 16 18 16 15 45 18 77 40 10 87 70 72...

output:

994347719

result:

ok 1 number(s): "994347719"

Test #19:

score: 0
Accepted
time: 62ms
memory: 27304kb

input:

100000
1 1 1 4 3 3 5 8 8 1 4 9 9 14 6 12 5 3 2 9 14 4 15 11 14 14 12 18 3 22 25 1 23 1 15 8 21 35 31 34 15 23 30 13 32 18 22 33 32 18 36 46 36 27 45 16 4 35 48 12 29 1 59 64 33 12 4 1 53 8 29 16 18 67 75 7 54 18 74 21 55 69 47 54 42 56 2 85 3 90 81 42 15 90 9 41 72 68 43 58 28 87 38 22 39 29 26 44 2...

output:

946042832

result:

ok 1 number(s): "946042832"

Test #20:

score: 0
Accepted
time: 17ms
memory: 17372kb

input:

40000
1 2 2 4 1 6 5 3 3 6 3 3 4 6 10 12 1 18 18 4 11 3 9 14 25 13 14 18 4 3 1 6 13 16 9 17 37 13 38 7 10 36 13 8 22 3 17 1 20 12 33 37 8 10 25 35 41 52 10 35 36 59 20 25 32 62 18 5 3 22 66 13 2 52 38 30 62 18 35 77 51 58 32 34 44 2 70 85 46 2 80 84 67 91 91 80 19 13 42 99 75 36 38 51 62 93 96 37 96 ...

output:

599775439

result:

ok 1 number(s): "599775439"

Extra Test:

score: 0
Extra Test Passed
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服务器时间: 2024-12-01 19:47:43 | 开源项目