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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#424499#5208. Jumbled Treeszyz07WA 22ms3936kbC++172.7kb2024-05-29 11:24:292024-05-29 11:24:31

Judging History

你现在查看的是最新测评结果

  • [2024-05-29 11:24:31]
  • 评测
  • 测评结果:WA
  • 用时:22ms
  • 内存:3936kb
  • [2024-05-29 11:24:29]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define For(Ti,Ta,Tb) for(auto Ti=(Ta);Ti<=(Tb);++Ti)
#define Dec(Ti,Ta,Tb) for(auto Ti=(Ta);Ti>=(Tb);--Ti)
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define range(Tx) begin(Tx),end(Tx)
using ll=long long;
ll power(ll x,ll y,ll mod){
	ll r=1;
	for(;y;y>>=1,x=x*x%mod){
		if(y&1) r=r*x%mod;
	}
	return r;
}
const int N=505,M=1005;
int n,m,p,fa[N],fai[N],dep[N],vis[N],in_tree[M],vis2[M];
struct Edge{
	int u,v,x;
}edge[M];
vector<pair<int,int>> g[N],e[N],g2[M];
void dfs(int u){
	for(auto [v,i]:g[u]){
		if(!vis[v]){
			vis[v]=1;
			fa[v]=u;
			fai[v]=i;
			dep[v]=dep[u]+1;
			e[u].emplace_back(v,i);
			e[v].emplace_back(u,i);
			in_tree[i]=1;
			dfs(v);
		}
	}
}
struct DSU{
	int fa[M];
	int find(int u){
		return u==fa[u]?u:fa[u]=find(fa[u]);
	}
}dsu;
pair<int,int> exc[M];
int ans[M];
void get_sum(int u,int fa,int& sum,int& cnt){
	(sum+=edge[u].x)%=p;
	cnt+=in_tree[u];
	for(auto [v,i]:g2[u]){
		if(v!=fa){
			get_sum(v,u,sum,cnt);
		}
	}
}
void dfs2(int u,int fa,int fai){
	vis2[u]=1;
	for(auto [v,i]:g2[u]){
		if(v!=fa){
			dfs2(v,u,i);
		}
	}
	if(edge[u].x){
		assert(fa);
		auto [x,y]=exc[fai];
		if(u==x){
			(ans[1]+=edge[u].x)%=p;
			(ans[fai]+=-edge[u].x+p)%=p;
			(edge[fa].x+=edge[u].x)%=p;
			edge[u].x=0;
		}else{
			(ans[1]+=-edge[u].x+p)%=p;
			(ans[fai]+=edge[u].x)%=p;
			(edge[fa].x+=edge[u].x)%=p;
			edge[u].x=0;
		}
	}
}
int main(){
	cin.tie(nullptr)->sync_with_stdio(false);
	cin>>n>>m>>p;
	For(i,1,m){
		cin>>edge[i].u>>edge[i].v>>edge[i].x;
		g[edge[i].u].emplace_back(edge[i].v,i);
		g[edge[i].v].emplace_back(edge[i].u,i);
	}
	dfs(1);
	iota(dsu.fa+1,dsu.fa+m+1,1);
	int tot=0;
	exc[++tot]={0,0};
	For(i,1,m){
		if(!in_tree[i]){
			auto& [u,v,x]=edge[i];
			if(dep[u]<dep[v]){
				swap(u,v);
			}
			for(int x=u;x!=v;x=fa[x]){
				if(dsu.find(i)!=dsu.find(fai[x])){
					exc[++tot]={fai[x],i};
					g2[i].emplace_back(fai[x],tot);
					g2[fai[x]].emplace_back(i,tot);
					dsu.fa[dsu.find(i)]=dsu.find(fai[x]);
				}
			}
		}
	}
	For(i,1,m){
		int sum=0,cnt=0;
		get_sum(1,0,sum,cnt);
		if(!cnt) continue;
		int x=1LL*sum*power(cnt,p-2,p)%p;
		ans[1]=x;
		For(i,1,m){
			if(in_tree[i]){
				(edge[i].x+=-x+p)%=p;
			}
		}
		break;
	}
	For(i,1,m){
		int sum=0,cnt=0;
		get_sum(i,0,sum,cnt);
		if(sum){
			cout<<"-1\n";
			return 0;
		}
	}
	For(i,1,m){
		if(vis2[i]) continue;
		dfs2(i,0,0);
	}
	cout<<tot<<'\n';
	For(i,1,tot){
		cout<<ans[i]<<' ';
		For(j,1,m){
			if(in_tree[j]&&j!=exc[i].first){
				cout<<j<<' ';
			}
		}
		if(exc[i].second){
			cout<<exc[i].second;
		}
		cout<<'\n';
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3744kb

input:

3 3 101
1 2 30
2 3 40
3 1 50

output:

3
20 1 3 
10 1 2
30 3 2

result:

ok Participant found an answer (3 trees) and jury found an answer (5 trees)

Test #2:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

2 2 37
1 2 8
1 2 15

output:

2
8 1 
15 2

result:

ok Participant found an answer (2 trees) and jury found an answer (3 trees)

Test #3:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

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

output:

-1

result:

ok Both jury and participant did not find an answer

Test #4:

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

input:

10 15 997
4 3 459
9 7 94
9 8 767
10 2 877
5 8 258
3 4 166
8 5 621
8 10 619
9 1 316
10 5 516
3 10 125
1 7 961
3 6 500
4 10 976
3 4 842

output:

-1

result:

ok Both jury and participant did not find an answer

Test #5:

score: 0
Accepted
time: 1ms
memory: 3744kb

input:

20 30 9973
1 10 696
3 8 2905
12 7 6609
20 10 1962
11 9 8430
19 2 412
6 3 6936
19 7 9113
14 15 5635
15 7 1770
13 10 3182
3 16 2625
17 1 7387
11 5 3700
9 15 1048
2 3 7717
12 10 8625
7 13 8141
5 14 2245
6 4 2819
18 19 8709
18 5 6191
17 10 7606
9 20 8626
17 4 8848
4 13 1073
10 8 2277
14 2 7714
11 8 5318...

output:

30
1016 1 2 3 5 6 7 8 9 13 15 18 19 20 21 22 24 25 29 30 
749 1 2 3 5 6 7 8 9 13 15 18 19 20 21 22 25 29 30 4
326 1 2 3 6 7 8 9 13 15 18 19 20 21 22 24 25 29 30 4
4057 1 2 3 5 6 7 8 9 13 15 18 19 20 21 22 24 25 30 4
4193 1 3 5 6 7 8 9 13 15 18 19 20 21 22 24 25 29 30 4
2439 1 2 3 5 6 8 9 13 15 18 19...

result:

ok Participant found an answer (30 trees) and jury found an answer (59 trees)

Test #6:

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

input:

50 80 99991
6 5 67664
39 4 74944
11 9 13035
13 48 81979
40 20 57943
20 31 72081
1 6 39307
48 39 3550
28 48 41071
18 28 42935
37 32 7538
37 29 3815
50 37 88043
38 41 7283
40 26 66278
37 34 60696
47 19 80875
4 26 67
20 32 91858
39 24 83485
45 25 12241
48 46 61691
37 44 47541
39 40 70034
37 42 25006
27...

output:

-1

result:

ok Both jury and participant did not find an answer

Test #7:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

100 150 999983
84 10 999545
69 48 930138
48 13 303468
36 6 668122
91 84 115623
62 71 59711
12 37 749281
86 49 281976
26 46 624831
91 8 450475
92 55 460900
50 63 513056
72 2 477622
26 96 11359
31 82 953946
6 71 406339
24 7 177090
70 4 67359
31 39 795565
47 32 407459
26 35 760698
22 37 508175
8 93 612...

output:

-1

result:

ok Both jury and participant did not find an answer

Test #8:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

200 250 9999991
170 185 3242943
70 17 6083198
137 55 4000889
15 171 1113989
108 65 7988488
192 37 8812990
53 143 8707264
80 180 2504807
55 163 2706048
67 64 6210980
87 165 7693967
155 122 8550804
56 99 7228534
114 138 7047731
190 196 6684929
86 197 8866886
38 195 6717874
112 133 7257617
160 104 3210...

output:

-1

result:

ok Both jury and participant did not find an answer

Test #9:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

500 600 99999989
265 416 47066772
354 266 16969437
195 415 7917612
354 136 43128175
163 191 58723996
144 84 65835385
157 45 94124747
232 441 17509499
70 397 64101208
223 387 7043647
320 47 84970673
100 2 87310855
87 131 75042257
101 391 27645446
79 26 68547739
390 185 92142961
257 15 80922292
276 48...

output:

-1

result:

ok Both jury and participant did not find an answer

Test #10:

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

input:

500 700 99999989
250 2 71289880
454 447 70661327
328 253 57519343
11 201 67456781
294 99 23392419
215 322 61059212
411 389 69899684
488 429 89579827
437 79 60564061
413 380 34922641
477 372 14858185
156 44 3101349
88 8 52225146
115 26 8582010
171 237 33206748
237 495 31192017
146 32 62712576
209 352...

output:

-1

result:

ok Both jury and participant did not find an answer

Test #11:

score: 0
Accepted
time: 1ms
memory: 3928kb

input:

500 800 99999989
258 304 1237432
159 152 6684056
8 47 64155938
436 265 83092505
204 302 3892712
142 302 77925167
37 15 20298972
202 395 35856655
284 260 96812598
365 172 48834835
196 101 64871741
174 45 37729972
302 206 90932677
305 275 27712443
443 157 81820535
16 248 22708463
461 479 64749118
105 ...

output:

-1

result:

ok Both jury and participant did not find an answer

Test #12:

score: 0
Accepted
time: 1ms
memory: 3880kb

input:

500 900 99999989
122 188 44796717
73 121 56798468
334 358 95823235
485 453 96779071
209 391 45946094
332 168 91056077
481 483 81268636
148 393 25213027
107 214 99281713
493 46 61525618
472 355 74320568
258 482 99615552
159 393 20311839
411 121 5207095
20 131 65269699
45 339 51772607
195 292 64556504...

output:

-1

result:

ok Both jury and participant did not find an answer

Test #13:

score: 0
Accepted
time: 2ms
memory: 3816kb

input:

500 1000 99999989
75 20 25003980
292 19 89418683
353 246 74910681
183 201 97535184
254 421 50614221
15 396 86624029
82 13 67776336
86 70 62843451
279 3 55801636
29 425 30024776
176 243 16631048
498 363 77415492
55 305 80862521
213 110 30693079
432 358 99667002
201 30 44433122
97 203 16284993
118 490...

output:

-1

result:

ok Both jury and participant did not find an answer

Test #14:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

500 499 999999937
287 228 350409600
392 107 350409600
458 22 350409600
362 425 350409600
368 136 350409600
364 71 350409600
211 265 350409600
167 116 350409600
195 353 350409600
489 477 350409600
380 85 350409600
281 15 350409600
263 247 350409600
453 122 350409600
104 187 350409600
331 223 35040960...

output:

1
350409600 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 ...

result:

ok Participant found an answer (1 trees) and jury found an answer (1 trees)

Test #15:

score: 0
Accepted
time: 3ms
memory: 3872kb

input:

500 510 999999937
417 280 770450784
207 303 770450784
472 396 770450784
345 191 964169440
164 67 770450784
492 302 770450784
5 71 770450784
386 22 770450784
77 25 487491058
430 467 770450784
148 95 770450784
288 215 770450784
55 451 10190666
215 69 770450784
267 195 770450784
487 283 770450784
435 3...

output:

129
968945985 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

result:

ok Participant found an answer (129 trees) and jury found an answer (257 trees)

Test #16:

score: 0
Accepted
time: 2ms
memory: 3812kb

input:

500 525 999999937
439 54 982774700
417 443 87702331
21 82 982774700
39 477 982774700
363 493 982774700
500 161 982774700
86 44 982774700
312 47 982774700
120 282 982774700
224 254 670954686
268 311 59221562
216 242 982774700
16 256 505585800
448 102 982774700
362 295 555877345
76 210 819076841
53 24...

output:

198
216569376 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

result:

ok Participant found an answer (198 trees) and jury found an answer (395 trees)

Test #17:

score: 0
Accepted
time: 6ms
memory: 3836kb

input:

500 550 999999937
478 408 544946602
494 234 544946602
118 11 544946602
497 38 435997116
193 371 493919798
252 238 826125135
69 229 683109191
300 159 544946602
328 102 302951499
37 227 568031903
347 13 544946602
111 375 624947749
291 447 544946602
5 140 544946602
250 41 544946602
387 202 544946602
38...

output:

309
252177261 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

result:

ok Participant found an answer (309 trees) and jury found an answer (617 trees)

Test #18:

score: 0
Accepted
time: 6ms
memory: 3812kb

input:

500 600 999999937
265 416 960325147
354 266 501849515
195 415 308033318
354 136 658703469
163 191 792878874
144 84 388345161
157 45 308033318
232 441 175503107
70 397 520297316
223 387 650583946
320 47 790017725
100 2 477058566
87 131 953737746
101 391 308033318
79 26 941025744
390 185 519333525
257...

output:

406
181181152 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 66 67 68 69 70 71 72 73 74 75 76 77 78 79 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101...

result:

ok Participant found an answer (406 trees) and jury found an answer (811 trees)

Test #19:

score: 0
Accepted
time: 1ms
memory: 3744kb

input:

500 500 999999937
56 278 340955979
53 151 340955979
482 317 340955979
4 138 340955979
454 135 340955979
482 361 340955979
85 89 340955979
436 201 340955979
450 483 340955979
274 258 340955979
13 318 340955979
87 227 340955979
141 114 340955979
284 340 340955979
377 48 340955979
110 134 340955979
271...

output:

13
147599968 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99...

result:

ok Participant found an answer (13 trees) and jury found an answer (25 trees)

Test #20:

score: 0
Accepted
time: 7ms
memory: 3800kb

input:

500 700 999999937
250 2 231570738
454 447 348559779
328 253 557290971
11 201 742990307
294 99 355194759
215 322 346919021
411 389 223497390
488 429 924302863
437 79 634119443
413 380 194151871
477 372 634119443
156 44 723189726
88 8 656811915
115 26 494639245
171 237 579262439
237 495 225519328
146 ...

output:

607
417529168 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 58 60 61 62 66 67 68 69 70 71 73 74 75 77 78 79 80 81 82 83 84 86 87 88 89 91 92 93 94 95 98 100 101 103 104 105 106 107 108 10...

result:

ok Participant found an answer (607 trees) and jury found an answer (1213 trees)

Test #21:

score: 0
Accepted
time: 18ms
memory: 3884kb

input:

500 800 999999937
258 304 583150933
159 152 864655622
8 47 904254153
436 265 649209189
204 302 999927615
142 302 437142821
37 15 886997658
202 395 176364113
284 260 352132138
365 172 621577977
196 101 999803609
174 45 669960837
302 206 85008264
305 275 142531904
443 157 652057600
16 248 693746068
46...

output:

721
314466306 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 47 48 51 52 53 54 55 56 57 58 59 60 61 62 64 65 66 67 68 69 70 71 72 73 74 75 76 78 79 80 82 83 84 85 87 88 89 90 91 92 93 94 95 96 97 100 101 102 103 104 105 106 ...

result:

ok Participant found an answer (721 trees) and jury found an answer (1441 trees)

Test #22:

score: 0
Accepted
time: 22ms
memory: 3936kb

input:

500 900 999999937
122 188 437691348
73 121 296323029
334 358 25382116
485 453 71271129
209 391 955537437
332 168 58669489
481 483 584529141
148 393 88230539
107 214 706736962
493 46 995301637
472 355 754703158
258 482 416475555
159 393 775800573
411 121 458973126
20 131 939950122
45 339 247694299
19...

output:

851
296927280 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 ...

result:

ok Participant found an answer (851 trees) and jury found an answer (1701 trees)

Test #23:

score: -100
Wrong Answer
time: 1ms
memory: 3832kb

input:

500 1000 999999937
75 20 857550680
292 19 110166270
353 246 190797204
183 201 150954990
254 421 374099649
15 396 837014574
82 13 802431102
86 70 422727121
279 3 985425226
29 425 742626961
176 243 571825134
498 363 619955816
55 305 797984505
213 110 284175102
432 358 702809990
201 30 28699854
97 203 ...

output:

-1

result:

wrong answer Participant did not find an answer, while jury found (1945 trees)