题目描述
Professor MAZ has habit of throwing sleeping pills in the class while taking lectures.
There are N students in class. Every students need different dose to sleep in his class during the lecture.
Ki denotes the minimum number of dose of sleeping pills required for i^th student to sleep in his class.
You will be given an array of N values, each value denoting dose capacity of i^th student.
Prof MAZ has total number of M sleeping pills.
You have to find total number of ways he can distribute those pills among students so that whole class will sleep :P
As the answer can be very large take the modulo with 1000000007.
Input:
The first line contains single integer T number of test cases.
The next line contains two integer N and M
Next line contains N space separated integer which is the minimum dose of i^th student.
Output:
Print the answer modulo 1000000007.
Constraints:
1 ≤ T ≤ 100
1 ≤ N ≤ 100000
1 ≤ M ≤ 100000000 (10^8)
0 ≤ Ki ≤ 1000
Problem Setter: Deepak Singh
SAMPLE INPUT
3
4 10
2 1 2 1
5 20
5 9 6 3 2
10 1000
200 10 20 13 32 50 21 19 12 109
SAMPLE OUTPUT
35
0
575817000
输入格式
见题面
输出格式
见题面
样例输入
100
84 887
7 5 3 5 6 2 9 1 2 7 0 9 3 6 0 6 2 6 1 8 7 9 2 0 2 3 7 5 9 2 2 8 9 7 3 6 1 2 9 3 1 9 4 7 8 4 5 0 3 6 1 0 6 3 2 0 6 1 5 5 4 7 6 5 6 9 3 7 4 5 2 5 4 7 4 4 3 0 7 8 6 8 8 4
4 652
4 9 2 0
77 369
9 2 6 6 4 9 5 0 4 8 7 1 7 2 7 2 2 6 1 0 6 1 5 9 4 9 0 9 1 7 7 1 1 5 9 7 7 6 7 3 6 5 6 3 9 4 8 1 2 9 3 9 0 8 8 5 0 9 6 3 8 5 6 1 1 5 9 8 4 8 1 0 3 0 4 4 4
15 988
6 3 1 7 5 9 6 2 1 7 8 5 7 4 1
59 396
9 7 5 3 8 8 3 1 8 9 6 4 3 3 3 8 6 0 4 8 8 8 9 7 7 6 4 3 0 3 0 9 2 5 4 0 5 9 4 6 9 2 2 4 7 7 5 4 8 1 2 8 9 3 6 8 0 2 1
11 606
1 1 0 8 5 0 6 4 6 2 5
9 417
2 8 4 7 2 4 0 6 2
100 380
0 8 1 3 1 1 0 3 4 0 3 9 1 9 6 9 3 3 8 0 5 6 6 4 0 0 4 6 2 6 7 5 6 9 8 7 2 8 2 9 9 6 0 2 7 6 1 3 2 1 5 9 9 1 4 9 1 0 7 5 8 7 0 4 8 0 4 2 9 6 1 0 4 2 2 2 0 5 5 2 9 0 2 8 3 8 0 4 0 9 1 9 6 2 5 4 4 9 9 3
77 851
5 0 2 9 4 3 5 1 7 4 3 1 4 6 9 4 2 2 6 4 1 2 8 8 9 2 8 8 8 6 8 3 8 3 3 3 8 0 4 7 6 8 9 0 6 8 7 9 0 3 3 3 7 3 2 6 5 2 6 5 8 7 9 6 0 4 1 0 4 8 7 0 8 6 2 4 7
100 44
9 2 8 3 0 1 7 8 9 1 5 4 9 2 5 7 4 9 9 4 5 9 3 5 7 0 8 1 9 9 7 8 2 5 3 4 9 0 2 0 1 9 6 2 1 2 0 7 3 1 1 9 0 5 6 7 7 4 0 6 4 7 4 8 5 8 2 6 0 6 6 4 6 2 8 9 6 0 7 0 1 0 1 3 7 7 2 6 4 5 2 0 2 9 0 9 9 4 5 1
21 434
7 8 8 6 0 4 6 7 6 0 9 7 5 9 7 8 5 3 3 8 3
38 290
3 7 8 7 4 1 9 0 9 8 8 5 8 4 3 7 1 3 8 0 9 7 9 9 3 2 4 3 7 1 2 2 0 2 1 7 5 1
58 575
1 7 1 1 1 7 0 4 0 8 5 1 6 6 2 1 9 6 4 8 0 8 1 0 2 2 9 7 5 6 4 6 3 7 9 7 4 9 1 7 0 6 0 8 5 3 9 4 1 5 4 1 5 5 4 9 8 3
19 806
2 2 2 7 0 3 4 6 3 6 3 3 4 4 3 9 7 2 5
89 920
0 2 4 7 6 5 7 1 3 3 3 8 5 1 0 8 7 6 3 5 0 8 0 4 1 1 3 5 9 3 4 1 5 0 8 3 5 6 5 9 9 0 7 6 3 7 6 1 5 0 6 5 0 8 1 2 2 6 9 1 0 4 2 7 4 0 3 2 8 0 3 7 0 0 3 4 9 2 7 4 2 5 2 4 4 3 8 6 0
79 160
2 2 3 1 8 3 4 2 2 4 5 1 7 5 7 1 6 9 8 1 3 3 3 7 9 8 6 7 0 4 8 4 8 1 6 8 5 2 1 9 9 6 0 6 4 9 9 0 8 9 3 1 4 8 9 6 7 7 3 7 1 2 2 1 5 0 9 0 4 0 1 3 7 4 1 1 3 0 3
83 182
7 5 6 5 4 2 2 1 7 2 4 1 6 5 7 8 5 9 2 7 3 6 4 7 9 7 2 2 1 6 3 0 2 1 5 6 5 0 0 3 4 6 6 0 2 5 8 9 5 0 6 0 8 3 7 8 2 1 0 5 8 5 5 0 7 3 8 2 3 0 7 7 7 6 9 1 1 9 0 8 9 8 8
11 394
7 0 6 9 2 1 7 7 9 7 6
53 18
1 5 8 8 4 5 6 5 6 8 4 8 8 3 8 7 5 2 4 5 0 5 7 3 2 7 2 1 3 4 9 4 1 9 5 7 4 1 2 2 1 6 2 0 2 2 9 7 4 3 5 6 1
65 791
3 1 2 7 7 9 8 1 0 7 6 0 1 0 2 5 1 9 7 1 3 1 2 0 6 8 7 4 9 2 4 4 5 9 1 2 8 9 6 0 6 4 0 9 4 5 4 6 6 3 9 9 5 2 1 3 0 9 9 1 3 4 5 8 5
78 314
3 8 9 5 5 3 8 6 0 3 3 6 1 8 7 0 5 1 1 0 3 0 0 4 5 4 2 4 9 9 9 4 9 8 1 6 3 9 3 3 4 6 1 5 6 1 7 2 2 9 2 8 1 2 4 7 8 6 3 7 7 2 3 7 2 5 3 7 6 8 1 3 6 4 0 3 5 8
6 31
9 9 8 0 2 4
20 281
1 2 0 0 6 3 9 0 8 3 8 7 3 1 0 0 5 0 3 1
39 271
1 7 9 1 0 3 5 9 4 8 4 6 9 2 9 0 3 0 3 3 7 9 4 9 9 1 9 4 2 0 6 5 9 5 6 1 1 4 3
88 723
7 3 3 9 2 4 4 4 9 9 3 8 3 2 9 5 4 3 9 4 9 5 5 7 3 9 0 7 2 7 2 9 0 5 0 4 1 7 9 3 6 2 1 2 5 3 9 1 8 8 7 0 5 2 7 9 1 9 6 3 6 8 4 6 6 7 2 7 4 1 0 0 6 4 4 3 7 3 4 7 2 1 7 9 5 6 8 9
46 996
2 1 5 9 9 1 6 2 1 0 5 3 2 1 9 7 6 8 2 0 6 4 3 3 6 9 0 4 8 5 1 2 9 7 3 8 0 9 2 3 1 8 7 4 1 6
84 139
5 5 0 1 2 6 4 8 5 6 2 5 2 6 9 1 3 3 1 5 2 6 9 4 4 6 0 7 4 3 7 9 0 0 2 2 6 9 0 3 5 5 8 7 1 7 0 6 0 4 1 3 0 2 9 6 0 9 3 5 4 3 6 4 3 1 9 1 0 9 4 5 6 2 5 9 1 7 7 4 1 1 9 1
54 529
7 4 9 3 1 3 8 7 9 3 8 8 4 0 0 8 6 8 2 3 8 5 0 5 9 2 6 8 5 2 8 3 6 7 8 7 2 6 6 2 9 7 0 3 7 2 3 5 1 7 8 9 4 1
7 335
3 5 4 8 7 3 3
16 561
1 4 5 7 0 7 8 9 9 3 9 4 6 4 5 5
66 987
0 6 2 6 9 9 2 9 6 5 5 3 8 6 7 3 6 0 2 6 9 3 0 8 7 6 5 2 4 0 0 6 8 5 4 9 4 6 8 3 2 3 6 2 2 4 7 0 4 9 6 5 4 6 4 2 5 1 6 1 3 7 7 1 2 1
61 89
9 0 1 3 4 8 5 8 2 2 0 6 3 6 1 0 5 7 4 2 0 0 3 3 9 0 4 3 3 4 2 4 5 3 8 1 1 3 1 5 8 1 3 3 9 7 5 4 4 9 6 7 2 1 0 1 3 7 7 6 3
40 282
0 4 1 1 8 6 4 3 4 7 7 0 7 4 5 3 0 7 2 9 9 3 0 2 7 9 9 5 2 0 8 3 5 9 6 5 6 3 0 2
21 958
4 7 3 0 1 6 7 5 7 8 8 9 0 7 8 0 3 1 0 3 6
68 224
2 2 1 5 3 3 8 2 8 5 8 0 8 6 9 3 3 7 4 3 7 1 3 9 6 4 2 0 2 9 5 7 4 6 4 9 1 2 3 1 8 1 3 8 9 2 4 5 1 0 0 1 3 3 0 0 0 2 2 2 4 7 9 8 5 4 7 8
37 91
0 6 4 3 7 5 8 1 0 9 3 0 2 6 4 3 8 6 7 0 8 1 9 8 1 6 4 8 5 0 1 5 9 7 0 6 2
39 700
5 0 2 7 2 8 1 7 7 9 7 9 8 8 9 8 0 5 2 0 2 4 3 7 3 0 0 1 5 8 0 0 0 4 7 5 3 1 4
43 631
1 3 0 0 4 8 2 2 0 2 4 5 8 4 0 8 4 2 5 4 2 7 5 7 5 2 2 8 6 6 0 0 9 1 2 6 9 4 8 2 8 2 7
89 577
7 7 0 9 4 5 4 2 2 3 9 6 5 7 4 3 9 4 4 0 6 0 2 2 8 4 3 1 1 1 9 0 0 0 2 5 7 6 9 1 9 8 7 6 5 1 1 4 8 5 7 6 6 9 1 4 3 6 7 6 9 7 6 0 9 0 7 6 6 8 7 7 6 6 5 3 7 6 9 7 2 6 4 0 7 5 4 0 1
3 209
0 1 5
43 691
7 1 6 4 9 5 3 5 1 1 0 0 7 0 8 1 6 4 1 4 9 8 6 2 2 5 2 3 2 7 3 9 0 1 5 0 6 9 7 9 2 8 9
100 529
9 3 6 3 6 0 4 4 9 6 6 4 1 9 8 0 4 9 0 5 5 0 1 6 0 2 8 8 4 9 8 3 4 4 9 1 7 5 7 6 2 4 2 5 5 0 5 2 9 7 7 6 8 1 2 0 3 2 8 7 4 6 3 8 0 4 9 7 9 7 5 1 3 7 8 0 9 5 2 1 3 2 7 3 3 2 3 8 6 1 6 0 9 1 9 1 5 0 9 4
70 737
8 2 4 6 5 3 4 7 4 7 1 4 0 4 8 3 3 4 6 1 5 5 4 6 6 9 6 7 5 6 4 3 0 0 2 5 3 8 5 0 5 6 6 7 3 4 0 8 0 8 1 5 3 5 1 1 4 0 1 1 8 5 7 8 5 1 6 0 9 1
43 835
9 0 1 4 4 3 2 5 1 3 2 6 0 6 9 6 8 0 8 6 7 5 4 4 6 0 5 5 3 9 1 5 0 4 9 6 7 4 3 0 9 6 6
71 595
5 8 2 8 6 8 5 3 4 0 1 7 7 8 0 8 9 7 8 3 9 7 2 5 0 2 4 8 0 6 2 6 5 6 6 3 4 1 7 1 3 0 8 2 9 0 1 0 8 1 6 7 8 8 2 1 3 8 9 3 5 4 1 2 2 7 7 9 1 4 0
45 58
8 7 6 8 0 8 6 1 4 5 2 5 9 3 8 8 4 3 5 0 5 9 3 4 6 2 5 3 2 0 0 0 9 8 0 9 6 7 2 1 4 4 8 4 9
59 265
4 1 9 6 8 0 9 3 6 3 8 9 5 0 1 7 1 9 8 2 6 7 5 9 3 9 9 7 9 7 3 5 0 4 1 9 4 1 4 3 6 4 2 2 7 6 1 8 5 1 1 3 0 6 4 4 7 5 3
59 83
7 3 5 3 7 4 8 0 0 1 6 4 5 8 3 1 2 2 9 5 5 4 6 3 1 2 0 6 5 1 9 4 4 6 8 1 0 8 1 2 9 8 8 6 8 2 0 2 4 9 8 1 5 6 4 6 8 6 3
36 848
4 2 4 0 2 7 2 0 1 6 1 9 4 9 9 6 9 4 2 0 2 3 6 8 9 2 8 6 7 3 5 3 5 9 5 9
78 710
9 0 5 2 1 0 2 0 6 3 6 9 4 8 4 0 8 4 4 8 2 4 2 7 7 9 9 3 9 8 4 0 8 0 5 9 0 9 1 8 2 8 7 6 8 4 8 9 8 3 7 0 7 1 9 6 3 0 1 4 8 6 6 6 6 1 7 8 2 9 6 5 9 4 3 7 8 2
89 409
7 6 0 4 9 1 2 2 2 4 6 0 2 3 9 8 6 8 6 9 7 2 6 8 8 9 8 8 1 6 8 0 4 8 4 4 2 9 6 4 5 5 4 7 0 5 7 6 4 3 5 3 7 3 2 8 3 0 8 6 6 9 7 1 9 3 7 1 2 3 5 7 0 2 6 0 7 3 7 1 8 4 7 6 8 9 6 3 9
87 110
7 5 6 0 5 2 7 6 6 3 2 4 3 6 0 4 3 6 3 7 4 9 4 2 9 3 8 2 4 5 4 3 2 2 4 7 4 1 6 1 6 8 7 0 4 9 6 9 5 1 6 0 2 2 2 2 7 3 6 1 0 0 7 2 3 1 0 7 4 8 0 1 8 7 3 4 7 1 3 4 4 2 4 6 4 9 8
65 343
5 7 2 7 4 4 0 5 6 0 0 4 0 3 2 0 8 6 9 9 2 3 5 4 8 1 0 7 2 4 9 9 2 3 6 6 7 7 4 6 9 6 0 9 9 5 1 7 3 0 8 5 4 3 9 4 6 2 3 8 6 2 7 0 7
67 38
4 3 1 2 4 7 5 5 8 0 7 7 3 7 7 9 3 2 0 7 8 2 0 7 1 4 6 1 1 2 8 8 7 1 0 1 0 7 9 0 7 6 9 3 3 6 4 9 8 4 6 9 9 7 8 0 1 4 3 5 9 4 3 8 5 5 2
89 504
1 8 2 7 0 5 2 6 1 1 7 8 8 6 7 7 4 9 0 0 2 7 1 6 2 0 4 8 2 2 3 3 2 7 2 4 5 4 1 6 8 0 4 8 8 3 5 2 4 7 4 7 5 6 5 7 6 9 7 0 3 2 3 8 0 5 2 5 1 5 1 1 5 8 9 3 3 6 7 8 6 2 5 1 0 0 0 8 2
89 959
7 0 1 5 0 8 0 7 1 5 1 3 3 9 4 8 2 3 6 0 9 0 7 0 2 0 0 0 4 0 8 1 1 9 9 3 9 9 1 2 6 4 7 9 3 2 8 7 5 6 0 4 6 9 6 8 9 6 8 5 9 8 7 0 7 8 5 8 7 8 0 5 2 8 5 7 2 5 7 9 1 7 3 9 6 9 9 8 7
8 174
6 5 2 8 4 0 6 4
20 957
6 5 9 6 2 8 8 7 5 7 0 2 2 9 1 3 8 1 3 7
57 592
4 9 2 0 1 8 6 3 4 2 0 5 9 4 4 9 1 9 9 3 4 1 2 5 7 2 6 0 1 4 1 5 3 5 7 7 3 3 2 0 7 4 7 6 8 1 8 9 3 7 2 7 0 6 4 7 0
73 260
1 6 3 8 2 8 5 9 2 0 3 4 7 7 1 6 5 5 4 6 8 1 0 5 1 8 9 1 8 1 0 9 7 3 9 1 2 6 2 6 6 5 0 5 4 3 1 9 8 7 7 6 8 7 3 2 5 4 3 5 7 5 6 5 9 5 8 3 3 1 9 9 6
92 778
1 4 0 2 5 8 0 1 6 9 7 0 5 1 3 2 9 9 9 6 0 6 4 3 0 5 4 1 4 5 8 5 1 9 9 6 7 9 0 5 9 7 6 6 8 1 8 9 2 9 5 4 6 2 7 6 7 1 7 1 8 6 8 0 7 8 6 6 9 6 1 8 5 9 6 6 1 7 5 5 6 3 0 2 5 9 8 2 3 8 6 1
87 427
1 3 4 0 9 6 8 2 6 4 2 3 0 5 0 7 2 8 0 2 3 5 4 3 0 7 1 8 8 7 4 2 2 1 2 1 7 2 6 3 6 0 8 8 7 0 8 9 9 8 4 2 6 8 7 8 5 9 8 3 6 4 7 1 5 9 4 4 2 0 0 0 0 8 1 7 1 9 9 0 9 3 4 7 3 1 7
9 853
5 3 1 2 1 2 9 2 6
55 127
9 6 9 9 4 0 9 5 1 0 7 2 3 3 2 8 7 1 6 1 9 1 2 1 4 6 0 7 3 6 5 2 2 4 3 9 6 4 6 7 4 6 2 9 9 6 7 8 7 5 2 6 7 4 7
62 272
8 0 6 6 6 0 9 0 5 8 7 0 4 6 6 0 0 6 2 6 5 2 4 1 4 2 0 1 0 3 4 0 4 0 6 2 2 7 2 7 5 1 9 0 0 6 2 0 2 4 9 9 9 5 0 3 7 0 4 9 4 8
100 81
0 8 2 2 5 6 2 1 8 1 3 0 7 7 2 1 4 1 1 3 6 3 8 6 6 3 5 2 3 7 2 6 5 6 8 0 2 2 3 2 4 8 2 3 8 5 7 2 8 8 7 7 3 5 3 9 0 8 1 6 5 5 2 2 1 2 5 6 5 8 8 9 9 3 4 7 0 1 1 0 1 8 7 5 3 0 6 6 1 8 2 8 5 4 3 9 6 8 5 1
9 436
2 9 0 7 6 0 0 7 3
33 338
0 7 1 3 3 7 6 3 9 6 9 5 9 8 1 7 5 3 8 0 7 7 3 4 6 5 5 5 8 9 3 9 6
57 615
1 5 0 7 6 6 8 1 6 8 2 5 3 7 3 5 5 1 8 1 7 6 8 2 4 7 7 3 3 3 7 7 8 9 6 4 6 4 5 4 2 0 9 7 7 5 4 4 6 5 6 5 1 4 9 5 2
58 202
7 0 0 6 1 0 2 5 8 6 3 2 0 3 1 9 2 6 6 7 4 1 3 1 4 9 1 1 1 0 2 1 2 5 7 3 5 0 1 5 8 6 7 1 9 0 2 3 9 8 0 3 1 5 7 7 7 0
100 289
0 3 1 4 8 9 0 5 1 3 0 1 9 9 2 0 0 7 3 9 7 6 4 9 3 3 8 0 3 7 1 5 1 2 2 1 3 2 7 4 5 9 6 4 9 0 4 1 7 9 0 5 5 6 6 1 0 4 1 5 2 4 3 5 7 5 6 2 7 5 7 4 5 3 8 6 3 4 7 1 3 9 8 1 7 4 2 9 8 5 5 2 2 0 7 1 5 6 3 2
42 71
8 8 5 6 4 9 2 3 2 7 2 2 8 2 6 2 1 6 0 8 9 2 8 8 5 5 4 8 9 8 9 7 6 4 5 3 5 7 6 9 5 1
12 976
5 9 0 6 6 2 7 7 6 7 5 1
4 73
9 2 0 0
41 19
7 5 1 4 5 0 4 0 3 7 7 8 7 7 4 3 1 3 0 7 1 7 8 6 1 0 8 3 0 0 2 9 6 5 4 3 7 0 5 0 7
83 259
4 2 5 7 3 8 9 1 1 9 9 7 0 9 6 6 2 8 8 1 6 5 7 9 3 7 4 5 5 7 4 9 1 9 9 4 9 0 5 1 1 7 8 2 8 6 8 0 5 8 4 1 5 1 1 0 9 5 6 6 4 2 5 5 1 6 0 0 9 7 3 0 6 2 4 5 0 2 7 5 2 3 9
61 78
0 0 6 7 8 4 4 0 1 9 1 8 1 4 9 1 7 9 7 1 4 4 2 8 4 9 3 9 8 3 6 0 5 4 0 4 8 4 4 0 3 8 0 7 4 9 8 3 8 7 5 4 4 9 3 8 8 8 7 9 1
47 150
8 0 9 2 9 3 9 9 9 7 9 6 3 0 6 6 8 3 3 5 7 2 0 7 3 8 7 2 1 3 3 9 5 3 2 4 8 3 5 9 2 6 7 5 6 3 1
78 170
5 2 8 9 2 8 2 0 5 4 1 0 0 2 5 3 6 2 3 9 7 5 1 4 2 8 2 8 2 9 9 9 1 9 8 5 7 3 5 4 9 8 4 9 3 2 4 9 4 8 9 3 3 2 9 7 3 2 5 5 3 6 4 7 6 4 2 3 7 0 0 7 0 6 6 3 8 1
4 995
1 4 8 6
79 418
5 1 9 3 8 3 9 4 2 5 9 4 1 8 4 1 7 7 9 4 0 8 7 5 4 0 9 2 8 0 0 3 1 1 6 2 6 6 6 8 3 7 5 4 6 1 7 3 8 9 9 9 9 8 6 3 8 8 6 6 8 8 2 1 1 8 3 8 6 0 8 0 7 3 6 5 5 6 9
54 506
0 4 4 9 3 7 7 1 5 6 9 3 8 0 7 8 6 5 5 8 3 5 7 9 1 3 4 7 4 9 4 4 6 8 5 9 8 5 2 3 1 1 9 1 3 6 9 1 3 4 9 8 1 7
60 154
0 3 2 6 5 9 2 3 7 8 4 7 3 6 3 6 9 2 7 2 0 8 4 5 3 5 5 4 2 5 9 4 0 4 0 5 3 5 0 2 3 4 0 6 2 3 2 1 7 1 4 9 9 0 6 4 5 1 1 0
67 13
6 7 6 9 4 1 4 5 6 7 1 6 5 4 1 9 7 0 0 1 1 1 3 7 6 1 8 7 3 7 1 9 4 0 8 0 1 4 7 7 3 9 5 8 5 8 7 2 8 9 6 9 1 1 8 9 4 7 8 7 4 9 9 0 9 9 0
74 195
8 2 7 9 0 6 6 8 5 0 9 7 6 0 8 0 9 9 4 8 7 2 4 8 1 4 8 0 6 3 6 6 5 4 7 7 2 5 6 9 6 7 6 4 7 4 4 6 3 9 6 2 3 0 1 6 6 1 8 5 4 5 1 1 1 1 9 3 6 7 2 4 4 1
100 102
5 5 0 1 6 6 5 9 7 6 7 3 9 6 8 5 3 2 7 6 5 8 1 3 5 3 8 9 6 9 2 2 4 2 5 1 9 2 2 6 1 0 1 0 8 2 6 3 6 5 9 3 3 0 6 8 5 6 9 2 5 1 6 0 4 3 1 5 5 3 3 6 5 4 9 3 8 5 8 6 0 7 9 5 7 6 3 3 2 4 7 8 5 3 0 9 6 3 4 1
79 470
0 4 4 9 9 4 4 8 1 6 5 0 1 5 8 6 0 1 0 7 1 7 0 3 9 8 6 5 1 4 5 1 0 9 0 0 5 6 0 6 4 5 7 7 2 7 3 2 8 5 9 1 3 1 4 2 9 0 9 1 7 4 2 7 5 5 7 1 3 7 7 8 5 6 5 7 4 1 2
85 57
1 8 1 5 2 5 4 5 5 7 2 9 2 9 5 7 9 6 0 8 5 0 5 4 6 5 0 7 7 4 5 0 2 9 5 7 4 2 2 1 9 6 1 1 7 8 0 6 6 3 7 1 3 2 7 1 9 7 0 6 2 6 7 6 7 4 3 1 6 7 5 8 3 8 1 1 6 4 9 2 7 6 5 2 1
76 605
0 2 4 7 4 2 6 3 9 0 6 3 9 6 8 7 9 6 8 0 4 2 0 8 1 8 5 4 9 0 0 2 3 6 9 9 1 7 2 0 9 1 5 8 7 3 5 8 1 6 1 5 0 3 3 2 1 9 8 3 9 0 5 2 6 6 4 7 3 6 0 4 9 5 3 8
12 971
7 2 8 8 8 9 1 3 3 4 4 1
60 85
3 4 8 9 2 2 9 7 1 9 2 2 6 5 1 7 7 0 2 6 8 2 5 1 5 0 7 0 1 7 6 6 3 6 5 6 9 6 5 2 7 7 4 6 4 7 3 2 7 7 0 7 9 5 0 7 5 8 9 8
18 216
4 2 1 1 0 2 0 6 6 7 5 1 5 0 8 9 4 8
99 615
5 8 1 6 7 8 6 6 8 5 3 4 7 6 7 8 9 7 4 7 7 1 8 2 1 9 3 7 7 2 3 4 2 4 0 1 4 8 7 2 3 2 6 1 8 4 1 9 1 7 7 0 8 7 3 2 8 8 9 5 0 5 2 4 9 4 5 6 3 4 8 8 6 5 1 7 1 2 8 4 1 5 5 0 5 0 2 3 8 3 1 1 8 3 7 0 9 3 6
83 28
4 1 6 1 4 3 4 7 3 9 8 1 6 0 6 6 2 1 6 8 4 9 6 9 7 6 9 2 4 1 1 9 4 7 2 9 2 7 8 6 8 8 7 4 9 5 2 3 6 0 3 1 0 0 0 9 8 9 1 3 3 4 4 9 4 8 0 6 7 8 4 5 9 3 9 8 0 1 3 9 4 7 2
47 330
4 5 9 4 8 4 9 2 0 0 6 9 1 5 6 9 1 2 0 7 3 0 7 7 4 8 1 3 0 7 2 5 2 3 1 2 8 0 6 8 0 3 7 1 0 6 3
34 741
5 0 3 6 0 0 2 8 3 5 9 0 9 6 4 2 7 6 0 7 5 1 9 0 0 3 0 6 8 5 6 3 6 2
12 169
4 3 8 8 8 9 8 9 5 5 4 2
84 655
1 8 7 3 8 8 6 0 4 6 6 3 1 4 5 3 2 9 6 0 7 7 2 8 6 7 3 0 0 8 7 1 7 4 4 5 4 2 8 9 0 4 4 2 8 9 7 2 0 3 4 0 2 6 0 1 4 5 3 6 3 2 7 0 7 4 8 1 8 6 2 9 2 6 3 2 7 0 4 0 5 8 0 0
28 941
1 3 7 4 9 0 7 8 3 6 4 3 9 3 1 4 4 3 2 9 5 0 1 1 0 8 1 2
49 949
4 9 1 1 6 2 3 5 1 6 3 5 9 4 0 2 8 4 5 1 3 2 3 6 3 5 5 7 7 3 5 1 5 9 4 3 1 7 8 4 6 3 0 7 7 0 0 6 7
样例输出
625061108
203235342
29992135
858726608
4732892
399352614
996579503
66672376
647195824
544264509
696711406
135240346
0
853410840
92969771
31751714
398390137
236345321
736968781
55298745
119170575
656013031
325817858
0
480560832
269663548
293933184
976809878
55854489
0
0
194101922
707861275
464442729
256320014
781280925
595166524
682675079
943898428
251798226
86915034
200254443
983433635
0
582273966
614384345
701989503
579414668
943918037
0
342900426
720893825
357349729
42560712
501081266
994502278
0
0
0
920502079
211362425
362938023
154148205
890715277
819144903
147364429
261549065
414331748
648788869
494614674
693431677
886192463
198490337
761639569
0
917421046
231292214
536202551
0
0
112658991
280716195
747291942
897162738
392665070
0
433460485
0
0
586564578
258297041
109491650
113822798
0
853265317
0
329371743
853578094
714176485
735963459