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
    Rikuta  */

#include <stdio.h>

//プロトタイプ宣言
int snow_height(int west_remain_height,int east_remain_height);

int main(void){

    int west_remain_height,east_remain_height;

    //入力受け取り
    scanf("%d %d",&west_remain_height,&east_remain_height);

    //snow_height関数に入れて計算
    int ans =snow_height(west_remain_height,east_remain_height);

    //答えの出力
    printf("%d\n",ans);

    return 0;
}

//関数の定義
int snow_height(int west_remain_height,int east_remain_height){
    //snow_heightの計算
    int snow_height=(east_remain_height-west_remain_height-1)*(east_remain_height-west_remain_height)/2-west_remain_height;

    //snow_heightを返す
    return snow_height;
}