Answered: Z - Three Numbers Given two numbers K…

Z - Three Numbers Given two numbers K and S. Determine how many different values of X, Y and Z such that (0 < X, Y, Z < K) and X+Y + Z = S.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 22PE

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Question

Write a program in C++

Z - Three Numbers
Given two numbers K and S. Determine how many different values of X, Y and Z such that
(0 < X, Y, Z < K) and X+Y + Z = S.
Input
Only one line containing two numbers K and S (0 <K< 3000,0 <S< 3K).
Output
Print the answer required above.
Examples
Input
2 1
Output
3
Input
9 4
Output
15
Note
In the first test case all values of X, Y, Z that satisfy the conditions are :
001
010
100
In the second test case all values of X, Y, Z that satisfy the conditions are :
XYZ
XYZ
XYZ
XYZ
004
040
202
310
013
10 3
211
400
022
112
220
130
031
121
301

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