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
    sak_Citrus*/

#include <stdio.h>
#include <stdlib.h>

//関数のプロトタイプ宣言
//1からnumまでの和を計算する関数
int calcHeight(int num);
//解を出す関数
int calcAns(int west, int east);

int main(void)
{
    //標準入力と解
    int west, east,ans;
    scanf("%d %d", &west, &east);
    ans = calcAns(west, east);
    printf("%d\n", ans);
    return 0;
}
int calcAns(int west, int east)
{
    //二つの塔の高さの差の絶対値を取ると、何番目の塔の間にいるか分かる
    int diff = abs(west - east);
    //(元の高さ) - (見えている高さ) = (積雪量)
    int ans = abs(east - calcHeight(diff));
    return ans;
}

int calcHeight(int num)
{
    int ret = 0;
    //1からnまでretにiを足し続ける
    for (int i = 1; i <= num; i++)
    {
        ret += i;
    }
    return ret;
}