Mathematics: Discrete-Mathematics (Algorithems)

I am new to Discrete math and i do not know how to solve this sum if some can please help me ..

Describe an algorithm that takes as input a list of n integer and produce as out put the largest difference obtained by subracting an integer in the list from the one following it.

Quote:

---

Originally Posted by bhuvan

I am new to Discrete math and i do not know how to solve this sum if some can please help me ..

Describe an algorithm that takes as input a list of n integer and produce as out put the largest difference obtained by subracting an integer in the list from the one following it.

---

Code:

---

diffmin=diffrence between first and second input
Loop over inputs from second to the (n-1)st
  diffwrk=current input minus next input
  if diffwrk<diffmin
    diffmin=diffwrk
  endif
endLoop

return diffmin

---

CB

Thank you very much but how i can write algorithm in mathematical term..??

Quote:

---

Originally Posted by CaptainBlack

Code:

---

diffmin=diffrence between first and second input
Loop over inputs from second to the (n-1)st
  diffwrk=current input minus next input
  if diffwrk<diffmin
    diffmin-diffwrk
  endif
endLoop
 
return diffmin

---

CB

---

Quote:

---

Originally Posted by bhuvan

Thank you very much but how i can write algorithm in mathematical term..??

---

Well I would write it in a more formal pseudo-code:

Code:

---

1:  input x(1..n)
 
2:  diffmin:=x(2)-x(1)
3:  for idx=2 to n-1
3.1:    diffwrk:=x(idx+1)-x(idx)
3.2:    if diffwrk<diffmin
3.2.1:    diffmin:=diffwrk;
 
4:  return diffmin

---

CB