Shibaku - 6 months ago 27

Java Question

The title pretty much sums up my question. How do I find the median of five user-input numbers without using arrays?

The only way I can think of doing this is by using multiple if-statements.

Even then, I wouldn't be quite sure where to start with that.

Any help or advice would be appreciated, thank you!

Answer

I like the idea of using multiple if-else statements. I took inspiration from this question and wrote the following. It gives an awful lot of code, so itâ€™s probably not the best solution, but proves it can be done.

```
/** @return the median, that is, the 3rd greatest, of the arguments */
public static int median(int a, int b, int c, int d, int e) {
// sort a and b
int ab1, ab2;
if (a < b) {
ab1 = a;
ab2 = b;
} else {
ab1 = b;
ab2 = a;
}
assert ab1 <= ab2;
// c and d
int cd1, cd2;
if (c < d) {
cd1 = c;
cd2 = d;
} else {
cd1 = d;
cd2 = c;
}
assert cd1 <= cd2;
// from a through d find i1 <= i2 <= i3 and j <= i3
// however, discard i3 since it is to great to be the median
int i1, i2, j;
if (ab2 < cd2) {
i1 = ab1;
i2 = ab2;
j = cd1;
} else {
i1 = cd1;
i2 = cd2;
j = ab1;
}
assert i1 <= i2;
// we need to find the 2nd greatest of i1, i2, j and e
// sort j and e
int je1, je2;
if (j < e) {
je1 = j;
je2 = e;
} else {
je1 = e;
je2 = j;
}
assert je1 <= je2;
if (i2 < je2) {
// je2 is too great to be a median
// find the greates of i1, i2 and je1
// knowing that i1 <= i2 this can be accomplished by:
return Math.max(i2, je1);
} else {
// discard i2 as too great
return Math.max(i1, je2);
}
}
```

Edit: I have simplified a bit compared to the first version I posted.