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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#340368#6223. 神经网络ushg8877100 ✓324ms609488kbC++141.9kb2024-02-28 21:55:212024-02-28 21:55:22

Judging History

你现在查看的是最新测评结果

  • [2024-02-28 21:55:22]
  • 评测
  • 测评结果:100
  • 用时:324ms
  • 内存:609488kb
  • [2024-02-28 21:55:21]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define MP make_pair
mt19937 rnd(time(0));
const int MAXN=5005;
const int MOD=998244353;
bool Mbe;
int m,n,siz[MAXN];
vector<int> edg[MAXN];
ll f[MAXN][MAXN],g[MAXN][MAXN],h[MAXN][MAXN],tf[MAXN],tg[MAXN],th[MAXN];
ll p[MAXN],fac[MAXN],s;
// 向父亲延申(不算自己),不延展,延展但孤立点
ll q[MAXN][MAXN];// 把 i 个有区别元素分为 j 个有区别链的方案
bool Med;
void add(ll &x,ll y){x=(x+y)%MOD;}
void dfs(int u,int fa){
	siz[u]=1;
	h[u][0]=1;
	for(int v:edg[u]) if(v!=fa){
		dfs(v,u);
		memset(tf,0,sizeof(tf));memset(tg,0,sizeof(tg));memset(th,0,sizeof(th));
		for(int i=0;i<=siz[u];i++) for(int j=0;j<=siz[v];j++){
			add(tf[i+j],f[u][i]*g[v][j]%MOD+h[u][i]*f[v][j]%MOD);
			add(th[i+j],h[u][i]*g[v][j]%MOD);
			add(tg[i+j],g[u][i]*g[v][j]%MOD);
			add(tg[i+j+1],2*f[u][i]*f[v][j]%MOD);
		}
		swap(f[u],tf);swap(g[u],tg);swap(h[u],th);
		siz[u]+=siz[v];
	}
	for(int i=0;i<=siz[u];i++){
		add(g[u][i+1],2*f[u][i]+h[u][i]);
		add(f[u][i],h[u][i]);
	}
}
int main(){
	ios::sync_with_stdio(false);
	fac[0]=p[0]=1;
	for(int i=1;i<MAXN;i++) fac[i]=fac[i-1]*i%MOD;
	cin>>m;
	q[0][0]=1;
	for(int i=1;i<MAXN;i++) for(int j=1;j<=i;j++){
		q[i][j]=((i+j-1)*q[i-1][j]+q[i-1][j-1])%MOD;
	}
	p[0]=1;
	for(int i=1;i<=m;i++){
		cin>>n;
		for(int i=1;i<=n;i++) edg[i].clear();
		for(int i=1;i<=n;i++){
			memset(f[i],0,sizeof(f[i]));
			memset(g[i],0,sizeof(g[i]));
			memset(h[i],0,sizeof(h[i]));
		}
		for(int j=1;j<n;j++){
			int u,v;cin>>u>>v;
			edg[u].push_back(v);
			edg[v].push_back(u);
		}
		dfs(1,0);
		for(int i=1;i<=siz[1];i++) for(int j=1;j<i;j++) 
			add(g[1][j],((i-j)&1?MOD-1:1)*q[i][j]%MOD*g[1][i]%MOD);
		for(int i=s+n;i>=0;i--){
			p[i]=0;
			for(int j=1;j<=n&&j<=i;j++) add(p[i],g[1][j]*p[i-j]%MOD);
		}
		s+=n;
	}
	ll ans=0;
	for(int i=1;i<=s;i++) ans+=fac[i-1]*p[i]%MOD;
	cout<<ans%MOD<<'\n';
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 5
Accepted
time: 7ms
memory: 192940kb

input:

3
4
2 1
4 3
3 1
5
4 5
3 4
3 2
1 2
1

output:

32824

result:

ok 1 number(s): "32824"

Test #2:

score: 5
Accepted
time: 32ms
memory: 196724kb

input:

4
3
1 2
3 1
3
2 1
3 1
5
3 4
5 4
2 3
2 1
4
2 1
3 2
4 3

output:

212823345

result:

ok 1 number(s): "212823345"

Test #3:

score: 5
Accepted
time: 20ms
memory: 198156kb

input:

300
1
1
2
1 2
2
2 1
2
2 1
2
1 2
1
2
2 1
1
2
1 2
1
2
2 1
2
1 2
2
1 2
2
1 2
2
2 1
1
1
1
1
1
2
2 1
1
1
1
2
2 1
2
2 1
1
2
2 1
2
1 2
1
2
1 2
1
1
2
2 1
1
1
2
1 2
2
1 2
2
2 1
1
2
1 2
1
2
2 1
1
2
2 1
2
1 2
1
1
2
1 2
2
1 2
2
2 1
2
1 2
2
1 2
2
2 1
2
1 2
2
1 2
2
1 2
1
1
2
2 1
2
2 1
1
2
2 1
1
1
2
1 2
1
1
2
1 2
...

output:

354818429

result:

ok 1 number(s): "354818429"

Test #4:

score: 5
Accepted
time: 19ms
memory: 194532kb

input:

300
2
2 1
2
1 2
3
1 2
2 3
2
2 1
1
2
1 2
2
2 1
1
2
1 2
3
1 2
3 1
3
3 1
2 1
1
2
2 1
3
1 3
1 2
3
3 1
1 2
1
1
2
1 2
2
2 1
2
2 1
2
1 2
2
2 1
2
2 1
1
2
1 2
2
1 2
3
1 2
1 3
3
3 1
2 1
3
1 2
3 1
3
1 3
1 2
1
3
2 1
1 3
2
2 1
3
3 2
1 2
1
3
2 3
2 1
3
1 2
1 3
1
1
3
1 2
1 3
1
3
1 3
1 2
3
2 1
1 3
3
3 1
1 2
3
1 2
2 ...

output:

163346936

result:

ok 1 number(s): "163346936"

Test #5:

score: 5
Accepted
time: 25ms
memory: 196976kb

input:

300
3
1 2
3 1
2
1 2
2
1 2
2
2 1
3
3 1
1 2
1
2
1 2
1
1
2
2 1
2
2 1
3
2 3
1 2
2
2 1
2
2 1
1
2
1 2
3
1 3
2 1
1
3
3 1
2 1
2
2 1
3
3 2
1 2
1
1
2
2 1
1
1
3
2 1
1 3
3
3 2
1 2
3
2 1
1 3
3
1 2
3 1
2
2 1
3
1 2
3 2
3
1 2
1 3
2
2 1
3
1 3
2 1
3
2 1
3 2
2
2 1
1
2
1 2
2
2 1
3
3 1
2 1
1
3
1 2
3 1
3
3 2
1 2
2
2 1
2
...

output:

623176801

result:

ok 1 number(s): "623176801"

Test #6:

score: 5
Accepted
time: 21ms
memory: 198716kb

input:

300
3
1 2
3 2
3
2 1
3 1
2
1 2
2
1 2
2
2 1
1
1
3
1 2
3 2
1
2
1 2
3
1 2
3 1
2
1 2
1
2
2 1
3
3 2
1 2
3
3 1
2 1
2
1 2
1
3
3 2
1 2
3
2 1
3 2
3
3 2
2 1
1
1
3
1 2
1 3
3
3 1
1 2
3
2 1
3 1
2
2 1
2
2 1
1
1
3
1 2
1 3
1
1
3
2 1
1 3
2
1 2
1
2
2 1
1
2
1 2
2
2 1
3
2 1
3 1
1
2
2 1
2
2 1
2
2 1
2
2 1
2
1 2
2
1 2
2
1 ...

output:

220324606

result:

ok 1 number(s): "220324606"

Test #7:

score: 5
Accepted
time: 58ms
memory: 201848kb

input:

50
50
6 2
19 30
13 4
16 17
26 10
11 37
2 19
38 1
22 28
8 50
16 35
41 10
21 17
4 2
5 49
43 17
1 27
20 8
23 34
42 34
7 6
23 8
2 9
14 5
14 16
44 28
11 29
8 1
19 47
6 46
32 2
11 40
15 3
14 39
2 5
8 18
17 31
20 45
11 4
24 3
1 10
25 21
18 22
33 36
2 3
2 12
33 10
1 2
30 48
50
1 28
21 1
19 1
8 1
1 17
41 1
1...

output:

634594980

result:

ok 1 number(s): "634594980"

Test #8:

score: 5
Accepted
time: 50ms
memory: 202360kb

input:

50
50
5 6
30 29
12 13
17 16
25 26
37 36
19 18
37 38
28 27
39 50
35 34
41 29
20 21
3 4
22 49
43 38
27 26
19 20
34 33
42 38
6 7
22 23
9 8
13 14
16 15
44 41
29 28
7 8
28 47
9 46
31 32
40 39
14 15
39 38
5 4
18 17
31 30
20 45
10 11
23 24
10 9
24 25
22 21
36 35
3 2
12 11
32 33
2 1
15 48
50
27 28
21 20
19 ...

output:

33435632

result:

ok 1 number(s): "33435632"

Test #9:

score: 5
Accepted
time: 52ms
memory: 204008kb

input:

50
50
5 6
30 29
12 13
17 16
25 26
37 36
19 18
37 38
28 27
29 50
35 34
41 28
20 21
3 4
36 49
43 12
27 26
19 20
34 33
42 10
6 7
22 23
9 8
13 14
16 15
44 42
29 28
7 8
2 47
38 46
31 32
40 39
14 15
39 38
5 4
18 17
31 30
32 45
10 11
23 24
10 9
24 25
22 21
36 35
3 2
12 11
32 33
2 1
42 48
50
28 1
8 21
3 19
...

output:

642271217

result:

ok 1 number(s): "642271217"

Test #10:

score: 5
Accepted
time: 59ms
memory: 201656kb

input:

50
50
6 2
14 30
13 4
7 17
26 13
5 37
9 19
38 34
8 28
19 50
22 35
41 32
21 15
4 1
35 49
43 21
9 27
20 1
31 34
42 40
7 1
23 19
1 9
14 11
15 16
44 19
6 29
8 7
10 47
40 46
32 5
37 40
15 10
4 39
1 5
11 18
26 31
40 45
11 10
24 13
7 10
25 1
2 22
11 36
1 3
9 12
33 19
1 2
15 48
50
28 27
19 21
17 19
7 8
17 15...

output:

910594026

result:

ok 1 number(s): "910594026"

Test #11:

score: 5
Accepted
time: 223ms
memory: 372248kb

input:

59
1500
1206 1205
1192 1191
702 703
1412 1411
1060 1061
470 469
707 708
1133 1132
166 165
1197 1196
1215 1214
1030 1031
362 363
4 3
1167 1168
793 794
1418 1417
1195 1196
644 645
721 722
590 591
828 827
421 422
580 579
1186 1187
194 193
553 552
1430 1431
972 973
1398 1397
354 353
913 914
544 545
586 ...

output:

756407276

result:

ok 1 number(s): "756407276"

Test #12:

score: 5
Accepted
time: 235ms
memory: 373308kb

input:

59
1500
1206 1205
1192 1191
702 703
1412 1411
1060 1061
470 469
707 708
1133 1132
166 165
1197 1196
1215 1214
1030 1031
362 363
4 3
1167 1168
793 794
1418 1417
1195 1196
644 645
721 722
590 591
828 827
421 422
580 579
1186 1187
194 193
553 552
1430 1431
972 973
1398 1397
354 353
913 914
544 545
586 ...

output:

799821558

result:

ok 1 number(s): "799821558"

Test #13:

score: 5
Accepted
time: 227ms
memory: 374328kb

input:

59
1500
1206 1205
1192 1191
702 703
1412 1411
1060 1061
470 469
707 708
1133 1132
166 165
1197 1196
1215 1214
1030 1031
362 363
4 3
1167 1168
793 794
1418 1417
1195 1196
644 645
721 722
590 591
828 827
421 422
580 579
1186 1187
194 193
553 552
1430 1431
972 973
1398 1397
354 353
913 914
544 545
586 ...

output:

332021746

result:

ok 1 number(s): "332021746"

Test #14:

score: 5
Accepted
time: 226ms
memory: 373676kb

input:

59
1500
1206 1205
1192 1191
702 703
1412 1411
1060 1061
470 469
707 708
1133 1132
166 165
1197 1196
1215 1214
1030 1031
362 363
4 3
1167 1168
793 794
1418 1417
1195 1196
644 645
721 722
590 591
828 827
421 422
580 579
1186 1187
194 193
553 552
1430 1431
972 973
1398 1397
354 353
913 914
544 545
586 ...

output:

458452660

result:

ok 1 number(s): "458452660"

Test #15:

score: 5
Accepted
time: 207ms
memory: 373832kb

input:

109
1500
1205 1206
1191 1192
703 701
1411 1412
1061 1059
469 470
708 707
1131 1133
165 166
1195 1197
1213 1215
1031 1029
363 361
3 4
1168 1167
794 793
1417 1418
1196 1195
645 643
722 721
591 589
827 828
422 421
579 580
1187 1185
193 194
551 553
1431 1429
973 971
1397 1398
353 354
914 913
545 543
587...

output:

550433177

result:

ok 1 number(s): "550433177"

Test #16:

score: 5
Accepted
time: 215ms
memory: 374096kb

input:

109
1500
1205 1206
1191 1192
703 701
1411 1412
1061 1059
469 470
708 707
1131 1133
165 166
1195 1197
1213 1215
1031 1029
363 361
3 4
1168 1167
794 793
1417 1418
1196 1195
645 643
722 721
591 589
827 828
422 421
579 580
1187 1185
193 194
551 553
1431 1429
973 971
1397 1398
353 354
914 913
545 543
587...

output:

590770405

result:

ok 1 number(s): "590770405"

Test #17:

score: 5
Accepted
time: 229ms
memory: 374164kb

input:

109
1500
1205 1206
1191 1192
703 701
1411 1412
1061 1059
469 470
708 707
1131 1133
165 166
1195 1197
1213 1215
1031 1029
363 361
3 4
1168 1167
794 793
1417 1418
1196 1195
645 643
722 721
591 589
827 828
422 421
579 580
1187 1185
193 194
551 553
1431 1429
973 971
1397 1398
353 354
914 913
545 543
587...

output:

557926200

result:

ok 1 number(s): "557926200"

Test #18:

score: 5
Accepted
time: 234ms
memory: 375824kb

input:

109
1500
1205 1206
1191 1192
703 701
1411 1412
1061 1059
469 470
708 707
1131 1133
165 166
1195 1197
1213 1215
1031 1029
363 361
3 4
1168 1167
794 793
1417 1418
1196 1195
645 643
722 721
591 589
827 828
422 421
579 580
1187 1185
193 194
551 553
1431 1429
973 971
1397 1398
353 354
914 913
545 543
587...

output:

496374494

result:

ok 1 number(s): "496374494"

Test #19:

score: 5
Accepted
time: 324ms
memory: 493216kb

input:

2
2500
1205 1206
1191 1192
703 702
2396 2395
2401 2402
469 470
707 708
1133 1132
166 165
2390 2391
1214 1215
1031 1030
363 362
1651 1650
1736 1737
1980 1981
1417 1418
1196 1195
645 644
722 721
1577 1576
1557 1558
422 421
2320 2319
1186 1187
1984 1983
552 553
1689 1688
973 972
1398 1397
354 353
914 9...

output:

155139106

result:

ok 1 number(s): "155139106"

Test #20:

score: 5
Accepted
time: 314ms
memory: 609488kb

input:

6
3500
3187 3188
1191 1192
703 702
3099 3100
2401 2402
470 469
707 708
3230 3231
165 166
2390 2391
1215 1214
1031 1030
362 363
3239 3240
1736 1737
3339 3338
1417 1418
1196 1195
644 645
2975 2974
1577 1576
2757 2756
422 421
2319 2320
1187 1186
1983 1984
3141 3142
1689 1688
973 972
3019 3020
3169 3170...

output:

21222413

result:

ok 1 number(s): "21222413"

Extra Test:

score: 0
Extra Test Passed