CISTFILL - Fill the Cisterns

During the next century certain regions on earth will experience severe water shortages. The old town of Uqbar has already started to prepare itself for the worst. Recently they created a network of pipes connecting the cisterns that distribute water in each neighbourhood, making it easier to fill them at once from a single source of water. But in case of water shortage the cisterns above a certain level will be empty since the water will flow to the cisterns below.

Example of cistern arrangement

You have been asked to write a program to compute the level to which cisterns will be filled with a certain volume of water, given the dimensions and position of each cistern. To simplify we will neglect the volume of water in the pipes.


Write a program that:

  • reads the description of cisterns and the volume of water,
  • computes the level to which the cisterns will be filled with the given amount of water,
  • writes the result.


The first line of the input contains the number of data sets k, 1 <= k <= 30. The data sets follow.

The first line of each data set contains one integer n, the number of cisterns, 1 <= n <= 50000. Each of the following n lines consists of 4 nonnegative integers, separated by single spaces: b, h, w, d - the base level of the cistern, its height, width and depth in meters, respectively. The integers satisfy 0 <= b <= 106 and 1 <= h*w*d <= 40000. The last line of the data set contains an integer V - the volume of water in cubic meters to be injected into the network. Integer V satisfies 1 <= V <= 2*109.


The output should consist of exactly d lines, one line for each data set. Line i, 1 <= i <= d, should contain the level that the water will reach, in meters, rounded to two fractional digits, or the word "OVERFLOW" (without quotes), if the volume of water exceeds the total capacity of the cisterns.


Sample input:
0 1 1 1 
2 1 1 1 
11 7 5 1 
15 6 2 2 
5 8 5 1 
19 4 8 1 
11 7 5 1 
15 6 2 2 
5 8 5 1 
19 4 8 1 

Sample output:
Warning: enormous Input/Output data, be careful with certain languages

hide comments
singhgur_123: 2020-08-13 15:53:37

"G.O.A.T". Hint is in this string! Find out!!

abhimanyu_1998: 2020-01-02 14:42:42

use long double , caused me 4 WA ;P , cakewalk concept though

abhinav_jain02: 2019-05-18 09:34:49

Simple, make an array with elements equal to start depth and end depth from the bottom. Sort the array by depth. Fill the cisterns from the bottom. Keep increasing or decreasing the net area to be filled. No binary search required.

manoj9april: 2018-02-03 16:40:53

Last edit: 2018-02-03 16:41:26
blaskwolf: 2017-07-21 16:39:48

nvmfound my mistake

Last edit: 2017-07-21 17:16:13
kshubham02: 2017-03-17 17:02:02

epsilon = 1e-6 gives WA. 1e-7 gives AC. Insane :/

Siddhartha Gairola: 2016-06-16 13:20:57

so is height = length, width = breadth and depth = height ?
Very ambiguous.

nikita204: 2016-06-14 12:18:56

Why do we need to use epsilon?

(Tjandra Satria Gunawan)(曾毅昆): 2015-08-27 21:13:21

tricky floating point problem *_*

eightnoteight: 2015-06-05 13:25:30

misdirecting problem statement;
length, width, height are better names for a cuboid than
height, width, depth..

Added by:adrian
Time limit:13s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Resource:ACM Central European Programming Contest, Warsaw 2001