Run the program and see!
| Definition | Translation into Java |
|---|---|
Triangle( 1 ) = 1 Triangle( N ) = N + Triangle( N-1 ) |
public int Triangle( int N )
{
if ( N == 1 )
return 1;
else
return N + Triangle( N-1 );
}
|
Writing a recursive Java program can be viewed as translating a math-like definition into Java code. The symbols of the math-like definition are rearranged and some extra syntax is added to create Java code.
If the math-like definition is correct, and if you correctly translate it into Java, then the program is correct. You don't have to think about how Java does the calculation. Just check that you have correctly translated the definition.
Is the following a correct translation of the math-like definition?
public int Triangle( int N )
{
if ( N == 1 )
return 1;
else
return N + Triangle( N ) - 1;
}