[HackerEarth] You are given a tree consisting of N nodes, each node i has a value a[i] (0 ≤ a[i] ≤ 1) associated with it. - P14950

题目描述

You are given a tree consisting of N nodes, each node i has a value a[i] (0 ≤ a[i] ≤ 1) associated with it.

We call a set S of tree nodes beautiful if following conditions are satisfied:
S is non-empty.
S is connected. In other words, if nodes u and v are in S, then all nodes lying on the simple path between u and v should also be presented in S.
Sum of all a[u] (u belong to S) equals to K where K is a given integer.

Your task is to count the number of beautiful sets. Since the answer may very large, you should print it modulo 10^9 + 7.

Input

The first line contains one integer T - the number of test cases. Then T test cases follow.

Each test case consists of several lines.
The first line contains 2 integers N and K.
The second line contains N integers a[1], a[2], ..., a[N].
Then the next N - 1 line each contain pair of integers u and v (1 ≤ u, v ≤ N) denoting that there is an edge between u and v. It is guaranteed that these edges form a tree.

Output

For each test, print the answer in one line.

Constraints
Let SN be the sum of N over all test cases
1 ≤ SN ≤ 50000
1 ≤ K ≤ 100
10% number of tests in which SN ≤ 25
30% number of tests in which SN ≤ 1000
20% number of tests in which K ≤ 10

SAMPLE INPUT
3
3 1
1 0 1
1 2
1 3
5 2
0 1 0 1 1
1 2
1 3
1 4
2 5
3 0
1 1 0
1 2
2 3

SAMPLE OUTPUT
3
5
1

输入格式

见题面

输出格式

见题面

样例输入

1
100
0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 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43680
7481
3934
3499
27007
20132
48453
26850
27253
24745
42680
4387
30923
22728
4273
7984
4680
35294
450
20448
6398
7614
29839
28703
14164
42749
49618
16865
30229
28325
4350
42064
43533
32252
33307
49674
25234
45460
6223
32917
2573
39601
21959
4803
8906
27423
1750
41401
25972
29079
38824
42154
19668
26082
278
44403
986
4356
24665
16774
6938
1696
42179
49982
34838
30311
29800
45888
15306
8633
12574
39737
2146
17979
30971
42934
27240
21694
39319
41558
24877
21296
32508
25829
25933
31253
6006
21732
26148
48400
4595
26394
40049
8784
9678
29265
23646
41810
38144
13780
6272
48111
19748
11565
25680
37189
41338
18345
37546
18975
39056
24566
37406
21519
44361
12439
14015
43521
13165
17833
19298
28136
726
21470
13850
2704
37263
2524
13020
38795
7634
41918
4477
9212
12056
21259
31496
4483
7972
19811
17168
49059
18606
27580
45213
20531
47477
148
25622
19816
35429
14331
48503
3205
1267
30812
17497
1655
45386
26061
3843
2165
18138
28257
20782
18972
47167
38975
34503
12632
28554
46165
13567
8442
36239
36421
44894
29981
16124
20456
6781
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35833
8009
798
24191
31638
32609
18831
44116
8607
11078
12757
39400
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16167
18711
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48064
31889
12702
19675
10994
1523
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24983
11361
19952
16629
20159
11933
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15682
42759
15119
1043
35765
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23852
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27082
42392
43736
41244
31388
28264
31112
18055
36562
28297
6941
29772
13778
27110
45301
23981
24928
27662
3088
40026
18199
3053
132
39739
42899
8275
28948
42121
20056
41097
43993
13489
2534
36031
9030
44657
25714
42325
42326
38763
34476
27369
29040
25936
10513
39770
27331
25561
8122
11872
27408
11760
48222
21715
29357
20862
35388
17399
7529
38342
49045
40414
44653
36070
2180
14086
20714
47674
20008
27619
29668
42576
32679
19244
47300
3714
11350
35353
44200
826
17115
15216
45498
44305
42323
34928
26940
1637
41432
2993
24138
20162
42884
19979
9534
9784
6083
18964
5358
21782
28627
5915
32890
15903
13142
25197
11760
17754
3256
47089
30275
21634
1307
16876
14989
47478
23231
35013
14325
22392
3159
27071
13730
31470
31504
27790
46547
10984
49472
7312
28795
8146
2837
40394
7506
5876
38523
19610
32097
9778
29111
45388
48125
33671
14884
25649
16928
35476
38414
19220
48729
15323
3298
2100
10428
36766
25049
44454
18561
16686
40111
39554
20932
16008
37863
24654
24873
17324
6173
13894
27346
15127
20796
35755
44502
20301
47492
32813
30533
45253
24524
15311
47759
43826
5776
43029
9834
13141
14803
27801
44427
47732
44160
30734
44482
10115
25325
29434
12327
20557
23954
39550
43841
39973
49768
42225
40291
31937
15883
13243
8559
21437
20152
39966
1432
31975
20551
14616
47464
46588
46802
23944
46462
2425
6535
19211
28015
302
20962
22510
24664
34779
23842
48485
4399
16872
22657
32103
33544
36746
19361
42960
2372
19899
8267
48907
33473
30234
32982
46028
17603
28613
19244
36567
11581
7104
48303
48842
29055
37055
20086
10101
13011
698
16659
41972
9305
26767
33860
47955
5411
38402
15550
6574
11811
21536
3791
32643
31692
17962
41960
23758
34695
13977
31076
26540
41814
41422
17368
12072
28366
6375
29983
4213
41159
8327
26445
3930
10698
13768
48675
21020
24518
15913
15491
30368
4978
14806
17505
34148
25693
39110
19554
10166
27797
26799
6904
35510
36322
44679
15699
10645
30594
38840
38589
7100
25324
28237
19227
45100
49363
5180
17606
27732
45457
9788
22057
7708
8166
35925
35805
3002
12008
46891
36922
85
33626
4430
39478
33659
27334
5530
4987
11933
45269
175
6098
31168
3239
32028
25333
11726
23758
1330
18771
32083
22980
5506
48301
26121
395
1849
24821
14931
21187
1835
19545
37409
18519
28350
129
30407
28406
32777
33567
14287
49075
456
41985
36160
9507
26539
41864
47404
14683
29481
20867
37400
2730
42945
14410
10877
19678
9499
30734
33601
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28006
45256
16839
3626
45862
27661
44443
46239
29733
22099
24569
35912
48969
45036
49883
41779
47814
32003
43020
25331
22495
16542
5789
48210
18064
7662
21992
20731
28637
3054
35818
38831
20603
110
42889
40377
24342
12075
49167
33674
34979
7355
14648
43183
20017
5013
37240
31260
639
16059
17963
34455
1093
44677
12135
28392
44292
753
19451
116
6268
1698
32470
34498
18467
11255
17633
17118
27352
7254
17988
22112
7629
41961
2856
25634
10141
17496
11298
38018
6646
29300
38471
34040
28297
8413
38341
35681
39131
6814
11192
41607
14559
16683
1936
45931
3844
31471
17583
31790
17980
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17583
17709
11567
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43201
32826
33933
44513
27149
46942
14562
9101
9821
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5657
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5225
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17427
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13575
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13629
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12155
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8252
40812
15876
705
1330
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8475
31042
16717
22913
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25328
18134
23595
13157
21299
7529
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6864
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218
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30567
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8035
10969
35225
38659
33513
10825
3771
49632
9234
47297
6620
9528
11917
43873
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21282
15613
31985
20582
9208
44042
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1071
12467
12632
24156
17281
20715
40174
19749
6434
29038
4129
32507
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48870
11804
25662
24607
8004
35879
21969
17314
3761
46308
43220
10115
45461
14495
30888
32267
31772
33138
37027
22466
29725
11979
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49061
22444
11956
505
27531
48733
28996
48952
17583
40813
31431
9093
32520
48762
17512
16424
7303
41324
49083
9928
5912
11760
10237
44947
17167
19178
24679
38127
32989
37422
17643
10462
13879
24276
46839
15336
20723
8526
38317
8609
15703
37889
36172
32495
746
26785
17398
49372
17641
39794
6074
45487
47136
36578
45316
3545
31273
17247
34724
49501
5103
12771
43705
47468
34192
23420
19748
6165
10537
45410
22516
8770
32145
32791
4865
24193
19293
15389
36701
11281
9386
19435
30971
31429
129
6233
14672
20535
6733
1335
35160
31861
48315
24688
2223
46686
43584
29257
22400
2016
29150
35703
13830
40675
2095
14626
20891
25902
31525
33457
9993
3699
19303
31889
19215
20548
19546
12674
999
39367
14972
11707
13697
41070
10905
25439
9952
33040
40413
13541
26809
29405
4311
19119
31216
25870
33129
43470
2219
14088
41413
4445
4652
5139
37842
7675
47449
10207
49173
21393
45896
41656
43506
23565
48021
31391
47035
39635
45526
12928
11183
2984

样例输出

时间限制	2000 ms
内存限制	256 MB
难度	提高
提交数	0
通过数	0
通过率	0.0%

P14950 [HackerEarth] You are given a tree consisting of N nodes, each node i has a value a[i] (0 ≤ a[i] ≤ 1) associated with it.

题目描述

输入格式

输出格式

样例输入

样例输出