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. Iaput Only one line containing two numbers K and S (0 < K < 3000,0 < S < 3K). Output Print the answer required above.

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. Iaput Only one line containing two numbers K and S (0 < K < 3000,0 < S < 3K). Output Print the answer required above.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Problems on Growing Functions

For a given set of functions f and g, the growth of functions states that the function g grows as fast as the function f. The growth rate of algorithms helps determine the algorithm's efficiency and compare its performance to other algorithms.

Question

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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