Input
1 1 2.000000
1
1
1
Output
1.000000 0.500000 0.500000
Input
11 4 1.250000
9 11 7 5 15 6 6 6 6 6 6
8
4 5 6 7 8 9 10 11
Output
8.000000 4.449600 0.443800
9.500000 6.559680 0.309507
8.250000 6.447744 0.218455
8.000000 6.358195 0.205226
8.250000 6.286556 0.237993
6.000000 6.229245 0.038207
6.000000 6.183396 0.030566
6.000000 6.146717 0.024453
Input
13 4 1.250000
3 3 3 3 3 20 3 3 3 3 3 3 3
10
4 5 6 7 8 9 10 11 12 13
Output
3.000000 1.771200 0.409600
3.000000 2.016960 0.327680
7.250000 5.613568 0.225715
7.250000 5.090854 0.297813
7.250000 4.672684 0.355492
7.250000 4.338147 0.401635
3.000000 4.070517 0.356839
3.000000 3.856414 0.285471
3.000000 3.685131 0.228377
3.000000 3.548105 0.182702