By Hamilton José Brumatto, UESC Brazil
The single-child difficulty (especially before the advent of video games) is playing alone, so patience games have emerged. One of them is the Steal Pack that Dr. Silvano Barbosa de Campos invented to play with N cards numbered from 1 to N. You get these cards shuffled, and you must take one by one and put them in a pack, but can only put a card on the pack, if the card at the top of the pack is smaller than this one, otherwise you will steal cards until you find a smaller one. In the end your score is the sum of the cards you stole. As this game was tiring, you were asked to have an algorithm that, given the sequence of cards, indicates the sum you have stolen.
The input contains several test cases, each test case contains two lines, in the first the number N (0 < N ≤ 105) (90% of the input cases are 0 < N ≤ 1,000) indicating the number of cards. In the second line N values, numbered from 1 to N in any order. The test cases ends with the end of the input.
It should be printed, for each test case, a value indicating the sum you will receive at the end of the game on a single line.
|Input Sample||Output Sample|