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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#694764 | #9530. A Game On Tree | frankly6 | WA | 88ms | 16828kb | C++17 | 2.0kb | 2024-10-31 18:36:16 | 2024-10-31 18:36:49 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<algorithm>
#define int long long
using namespace std;
const int MX=100020;
const int p=998244353;
int N, M, T;
int head[MX], cnt=1;
int siz[MX], sum[MX];//sum[u] = \sum_{v \in tree(u)} siz[v]*siz[v]
int v1[MX], v2[MX]; //v1[i] = e[i] 的贡献
//给边的有序对 <e_i,e_j> 按照 lca 分类, v2[u]=lca 为 u 的边对贡献
//ans = (sumv1+sumv2) / (N*(N-1)/2)^2
int read()
{
int r=0, f=1; char ch=getchar();
while(ch<'0'||ch>'9') {if(ch=='-') f=-1; ch=getchar();}
while(ch>='0'&&ch<='9') {r=r*10+ch-'0'; ch=getchar();}
return r*f;
}
struct edge{int nxt, to;}e[2*MX];
inline void ae(int u, int v){e[++cnt].to=v; e[cnt].nxt=head[u]; head[u]=cnt;}
int qpow(int x, int pow)
{
int ans=1;
while(pow)
{
if(pow&1) ans=ans*x%p;
x=x*x%p;
pow>>=1;
}
return ans;
}
int inv(int x){return qpow(x,p-2);}
int ord123(int &x){return ((x%p)+p)%p;}
void dfs(int x, int f)
{
siz[x]=1;
for(int i=head[x],now=0;i;i=e[i].nxt)
{
int y=e[i].to;
if(y==f) continue;
dfs(y,x);
siz[x]+=siz[y];
sum[x]+=sum[y];
v1[i/2]=siz[y]*(N-siz[y])%p*siz[y]%p*(N-siz[y])%p;
v2[x]=v2[x]+2*(N-siz[y])*(N-siz[y])%p*(sum[y]-siz[y]*siz[y]%p)%p; //same subtree
v2[x]=v2[x]+2*sum[y]*now%p; //dif subtree
now=(now+sum[y])%p;
ord123(v2[x]);
}
sum[x]=(sum[x]+siz[x]*siz[x]%p)%p;
}
signed main()
{
// freopen("testdata.in","r",stdin);
T=read();
while(T--)
{
N=read();
for(int i=1;i<N;i++)
{
int u=read(), v=read();
ae(u,v); ae(v,u);
}
dfs(1,0);
int bel=qpow(N*(N-1)%p*inv(2)%p,2);
int fac=0;
for(int i=1;i<=N;i++)
fac=(fac+v1[i]+v2[i])%p;
ord123(fac);
cout << fac*inv(bel)%p << '\n';
for(int i=1;i<=N;i++) head[i]=v1[i]=v2[i]=siz[i]=sum[i]=0; cnt=1;
}
return (0-0);
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 7800kb
input:
2 3 1 2 2 3 5 1 2 1 5 3 2 4 2
output:
443664158 918384806
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 0ms
memory: 7676kb
input:
1000 7 3 6 4 3 5 3 2 6 1 4 7 1 12 5 7 10 7 2 10 11 2 1 7 8 1 4 2 9 11 6 9 12 11 3 5 6 2 5 1 2 4 5 6 4 3 6 5 2 5 1 5 4 5 3 2 8 1 8 2 8 4 2 6 1 5 6 7 6 3 8 8 3 8 7 3 4 8 6 4 2 7 5 2 1 4 4 3 1 4 3 2 1 6 5 1 6 1 2 5 3 5 4 2 12 8 11 5 11 12 8 3 12 6 12 2 3 4 6 10 11 1 5 9 5 7 5 9 6 1 7 6 4 7 8 7 5 4 9 6 ...
output:
948445317 468414020 550143557 918384806 711758412 487662742 776412276 869581749 240852807 765628773 211048577 887328316 890334966 940494682 760637552 908032643 592850815 584006902 908525604 221832080 433351719 56023919 867301808 183319566 698771049 366957926 449579681 599710576 310564911 286902823 3...
result:
ok 1000 lines
Test #3:
score: 0
Accepted
time: 5ms
memory: 7724kb
input:
1000 94 59 1 33 59 73 1 6 33 83 59 4 59 20 59 61 6 39 1 76 73 71 6 44 39 9 71 24 4 87 9 57 83 2 9 81 71 82 20 90 2 85 39 12 9 30 83 66 30 53 9 47 9 36 44 43 53 29 12 31 53 64 81 38 31 84 82 77 38 23 71 93 84 78 83 58 31 68 90 42 1 55 64 13 78 70 78 62 24 19 55 92 87 14 57 10 84 65 81 63 6 75 36 91 1...
output:
508107725 996793960 201633249 335988372 842755864 460619380 342223697 207523414 429241811 391691799 542977964 786416604 454278948 685531402 25914978 440729774 228518323 679471537 82764520 554190841 432505337 143444089 189106586 337234245 61954935 905141094 532919674 703954588 185671863 942858630 692...
result:
ok 1000 lines
Test #4:
score: 0
Accepted
time: 82ms
memory: 16448kb
input:
10000 8 1 4 3 1 5 1 7 3 8 4 6 8 2 7 8 2 6 4 6 5 6 8 5 7 6 3 5 1 7 8 8 5 6 5 2 5 7 2 1 6 3 1 4 8 9 8 6 9 8 3 6 1 8 5 9 2 8 4 3 7 9 8 8 6 3 6 5 8 1 6 4 3 7 6 2 6 9 9 5 7 5 2 7 8 7 4 9 3 7 6 3 1 4 8 1 4 5 1 6 5 3 4 8 4 7 8 2 5 9 1 8 6 1 2 1 3 8 5 3 9 8 7 8 4 8 9 4 9 2 9 1 2 3 4 5 2 6 9 8 3 7 2 8 1 2 8 ...
output:
49657566 56023919 387074343 97051536 701572244 211048577 711758412 308100110 761007271 711758412 178698065 285212675 80216065 43380497 267677376 818005792 53239701 765628773 970145625 387074343 436731906 422725927 479157293 977872021 436731906 925779210 487662742 705549251 267677376 711758412 526851...
result:
ok 10000 lines
Test #5:
score: 0
Accepted
time: 88ms
memory: 16292kb
input:
10000 8 7 6 8 6 5 7 4 6 1 4 2 5 3 5 10 10 7 8 7 9 8 2 8 6 7 1 7 5 9 4 1 3 6 10 2 6 3 6 5 6 7 2 1 3 4 5 8 5 9 5 10 4 10 6 5 2 5 4 6 8 5 10 5 9 5 1 8 3 6 7 1 8 5 2 3 5 6 5 1 2 8 2 4 1 7 5 9 5 1 3 1 7 5 9 7 6 3 8 6 2 1 4 9 9 9 8 4 8 3 8 6 9 2 8 7 6 1 2 5 6 9 2 5 8 5 7 8 9 7 1 8 4 8 6 9 3 1 8 6 7 8 6 2 ...
output:
711758412 286902823 691130166 841483019 650641410 887328317 331207619 733278261 56023919 977872021 414394648 183319566 239374924 696059768 855285904 761007271 711758412 86268032 599710576 728310932 178698065 178698065 422725927 219002589 178698065 202450068 599710576 56023919 449579681 760637552 925...
result:
ok 10000 lines
Test #6:
score: 0
Accepted
time: 78ms
memory: 16728kb
input:
10000 9 8 1 2 8 4 1 3 2 7 1 6 7 9 3 5 1 9 7 5 1 7 3 7 9 5 2 3 8 1 6 8 4 6 9 7 8 4 7 5 4 3 4 6 8 1 3 9 8 2 7 9 8 7 2 8 9 8 5 8 1 2 3 7 6 3 4 7 8 6 8 4 6 2 4 5 8 7 5 1 6 3 7 9 9 8 7 8 2 9 5 9 1 5 3 1 6 2 4 8 10 2 10 4 10 6 4 1 10 9 6 8 9 5 10 7 4 3 2 10 3 9 5 3 4 3 7 9 6 3 10 6 2 9 8 5 1 2 10 8 5 2 8 ...
output:
211048577 354315128 178698065 705549251 285212675 138645051 449579681 286902823 925779210 294297225 519087065 368179632 422725927 603876215 539175192 867301808 977540027 669439919 211048577 701572244 977872021 138645051 267677376 855285904 977872021 286902823 925286249 705549251 219002589 331207619 ...
result:
ok 10000 lines
Test #7:
score: 0
Accepted
time: 83ms
memory: 15564kb
input:
10000 8 4 2 6 2 1 6 5 1 3 1 7 5 8 5 8 4 3 8 4 6 8 2 3 5 8 1 4 7 5 9 6 1 8 6 7 8 5 6 4 1 9 6 3 1 2 5 8 3 2 5 2 7 2 8 2 1 7 4 3 6 8 10 10 2 7 10 3 7 8 7 5 10 1 5 4 3 6 4 9 7 8 5 4 8 4 2 5 7 4 6 8 1 7 3 1 9 3 1 8 1 5 1 6 5 2 6 9 5 7 5 4 2 10 1 3 6 1 2 3 7 3 8 7 9 1 10 7 5 7 4 10 10 3 2 10 3 5 10 9 3 1 ...
output:
422725927 977872021 867301808 407446676 466833287 387074343 97051536 292325385 301691628 765628773 285212675 711758412 650641410 178698065 543242114 286902823 473241769 109930120 841975980 836553418 422725927 286902823 414394648 739440264 436731906 56023919 436731906 530918109 603876215 977872021 40...
result:
ok 10000 lines
Test #8:
score: -100
Wrong Answer
time: 83ms
memory: 16828kb
input:
10000 9 9 3 7 9 2 3 5 2 6 2 1 9 4 5 8 9 10 4 6 9 4 8 6 5 4 10 5 7 8 2 8 3 7 1 2 10 5 4 1 4 3 4 9 3 6 3 7 9 8 7 2 4 10 7 10 3 8 4 3 10 8 6 10 9 4 5 6 2 8 1 2 7 5 10 10 9 4 9 6 10 5 10 2 6 1 10 3 1 8 3 7 10 10 9 7 10 7 2 7 3 10 1 3 4 3 8 9 6 3 5 6 9 2 4 7 4 5 7 9 5 3 5 6 7 8 7 1 2 9 2 4 1 4 9 2 7 2 8 ...
output:
409773147 306621231 836553418 760637552 519087065 304649390 97051536 742521264 387074343 855285904 874737082 358875008 733278261 698524570 908525604 387074343 970145625 449579681 286902823 239374924 650641410 691130166 765628773 603876215 839572800 977872021 742521264 908032643 874737082 299719788 7...
result:
wrong answer 9999th lines differ - expected: '608175344', found: '-390069009'