Problem:
Score : 200 points

Problem Statement

In some village, there are 999 towers that are 1,(1+2),(1+2+3),...,(1+2+3+...+999) meters high from west to east, at intervals of 1 meter.

It had been snowing for a while before it finally stopped. For some two adjacent towers located 1 meter apart, we measured the lengths of the parts of those towers that are not covered with snow, and the results are a meters for the west tower, and b meters for the east tower.

Assuming that the depth of snow cover and the altitude are the same everywhere in the village, find the amount of the snow cover.

Assume also that the depth of the snow cover is always at least 1 meter.

Constraints

1 \leq a < b < 499500(=1+2+3+...+999)

All values in input are integers.

There is no input that contradicts the assumption.

Input

Input is given from Standard Input in the following format:

a b

Output

If the depth of the snow cover is x meters, print x as an integer.

Sample Input 1

8 13

Sample Output 1

2

The heights of the two towers are 10 meters and 15 meters, respectively.
Thus, we can see that the depth of the snow cover is 2 meters.

Sample Input 2

54 65

Sample Output 2

1

Solution in C (GCC 5.4.1) (judge verdict: Accepted)

/*	ex4_3
	suzuto	*/

#include <stdio.h>
int snow_height(int len_1, int len_2); /*プロトタイプ宣言*/

int main(void) {
  int west, east, height; /*変数の宣言*/
  scanf("%d %d", &west, &east); /*塔の露出部分の長さを出力*/
  height = snow_height(west, east);
  printf("%d\n", height);
  return 0;
}

int snow_height(int len_1, int len_2){
  int count, dif, west_num, west_height, res; /*変数の宣言*/
  dif = len_2 - len_1; /*difは東側の塔が西から何番目かを表す数と等しい*/
  west_num = dif - 1; /*西側の塔の位置*/
  west_height = 0; /*west_heightの初期化*/
  for(count = 1; count <= west_num; count++){ /*西側の塔の高さを算出する*/
    west_height = west_height + count;
  }
  res = west_height - len_1; /*雪からの露出分の高さを引く（これが雪の積雪の高さ）*/
  return res;
}