Little Elephant and Bubble Sort
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Little Elephant loves bubble sorting.
Bubble sorting for any array A of n integers works in the following way:
var int i, j;
for i from n downto 1
for j from 1 to i-1
if (A[j] > A[j+1])
You are given an array B of n integers. Then the array A is created using array B as following : for each i (1 <= i <= n), we set Ai = Bi + d with the probability Pi, otherwise Ai = Bi.
Help Little Elephant to find the expect number of swaps that bubble sorting will make when the array A is sorted with the above bubble sorting algorithm.
First line of the input contains single integer T - the number of test cases. T test cases follows. First line of each test case contains pair of integers n and d. Next line of each test case contains n integers - array B. Next line contains n integers - array P.
In T lines print T real numbers - the answers for the corresponding test case. Please round all numbers to exactly 4 digits after decimal point.
1 <= T <= 5
1 <= n <= 50000
1 <= Bi, d <= 10^9
0 <= Pi, <= 100
Input: 2 2 7 4 7 50 50 4 7 5 6 1 7 25 74 47 99 Output: 0.2500 1.6049
|Tags||july12, medium, probability, segment-tree, witua|
|Time Limit:||0.948357 sec|
|Source Limit:||50000 Bytes|
|Languages:||C, JAVA, PYTH, PYTH 3.6, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, CLOJ, FS|
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