POSTERIN - Postering

no tags 

All the buildings in the east district of Byteburg were built in accordance with the old architecture: they stand next to each other with no spacing in between. Together they form a very long chain of buildings of diverse height, extending from east to west.

The mayor of Byteburg, Byteasar, has decided to have the north face of the chain covered with posters. Byteasar ponders over the minimum number of posters sufficient to cover the whole north face. The posters have rectangular shape with vertical and horizontal sides. They cannot overlap, but may touch each other, i.e. have common points on the sides. Every poster has to entirely adjoin the walls of certain buildings and the whole surface of the north face has to be covered.


Write a programme that:

  • reads the description of buildings from the standard input,
  • determines the minimum number of posters needed to entirely cover their north faces,
  • writes out the outcome to the standard output.


The first line of the standard input contains one integer N (1 <= N <= 250000), denoting the number of buildings the chain comprises of. Each of the following N lines contains two integers Di and Wi (1 <= Di, Wi <=109), separated by a single space, denoting respectively the length and height of the i-th building in the row.


The first and only line of the standard output should contain one integer, the minimum number of rectangular posters that suffice to cover the north faces of the buildings.


1 2
1 3
2 2
2 5
1 4


hide comments
king_87arshia: 2024-03-07 06:09:11

length is not important

omar_hafez: 2022-02-20 07:28:10

Very bad problem :(((

Last edit: 2022-02-20 07:28:20
nikman_hunter9: 2021-10-12 11:25:48

Use Stack ;)

Last edit: 2021-10-12 11:26:50
karan_221: 2020-11-29 19:22:13

A square is also a rectangle.

jenishmonpara: 2020-06-06 10:31:04

Maintain a stack of currently running strips of posters and push and pop strips according to the size of the buildings as you iterate over them from left to right.
And also increase a count variable which would end up as your final answer.

Sergej: 2017-10-17 13:06:58

Please check your test data or problem description (condition)

Last edit: 2017-12-16 13:20:04
Simes: 2013-08-24 19:07:49

These are the shapes of the five buildings (underscore used to retain spacing!)

Which can be covered with four posters like this:



(Sorry for the messy diagrams, can't get fixed width font or code tag to display.)

Last edit: 2013-08-24 19:20:13
Arpit Rathi: 2013-08-19 15:42:47

can anyone tell hw the output is coming

Added by:Sergey Kulik
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:POI XV