Solution to the 100 Doors Problem

This script uses a DATA _NULL_ step to simulate the state of 100 doors. It uses an array (ARRAY) and nested loops to toggle the state (open/closed) of the doors at each pass. The final number of open doors is calculated and displayed in the SAS^© log via the PUT statement.

Data Analysis

Type : CREATION_INTERNE

Data is generated dynamically in memory (loops and arrays). No external source is required.

1 Code Block

DATA STEP

Explanation :
This DATA block implements the simulation logic: iteration over 100 passes, toggling the state of the doors (via array index), and displaying the final result in the log.

Copied!

1	DATA _null_;
2	open=1;
3	close=0;
4	array Door{100};
5	DO Pass = 1 to 100;
6	DO Current = Pass to 100 BY Pass;
7	IF Door{Current} ne open
8	THEN Door{Current} = open;
9	ELSE Door{Current} = close;
10	END;
11	END;
12	NumberOfOpenDoors = sum(of Door{*});
13	put "Number of Open Doors: " NumberOfOpenDoors;
14	RUN;

This material is provided "as is" by We Are Cas. There are no warranties, expressed or implied, as to merchantability or fitness for a particular purpose regarding the materials or code contained herein. We Are Cas is not responsible for errors in this material as it now exists or will exist, nor does We Are Cas provide technical support for it.

Retour à la liste