B'Gildong is playing a video game called Block Adventure. In Block Adventure, there are n columns of blocks in a row, and the columns are numbered from 1 to n . All blocks have equal heights. The height of the i -th column is represented as h_i , which is the number of blocks stacked in the i -th column. Gildong plays the game as a character that can stand only on the top of the columns. At the beginning, the character is standing on the top of the 1 -st column. The goal of the game is to move the character to the top of the n -th column. The character also has a bag that can hold infinitely many blocks. When the character is on the top of the i -th column, Gildong can take one of the following three actions as many times as he wants: In actions of the first two types the character remains in the i -th column, and the value h_i changes. The character initially has m blocks in the bag. Gildong wants to know if it is possible to win the game. Help Gildong find the answer to his question. Each test contains one or more test cases. The first line contains the number of test cases t ( 1 <= t <= 1000 ). Description of the test cases follows. The first line of each test case contains three integers n , m , and k ( 1 <= n <= 100 , 0 <= m <= 10^6 , 0 <= k <= 10^6 ) -- the number of columns in the game, the number of blocks in the character 's bag at the beginning, and the non-negative integer k described in the statement. The second line of each test case contains n integers. The i -th integer is h_i ( 0 <= h_i <= 10^6 ), the initial height of the i -th column. For each test case, print "YES" if it is possible to win the game. Otherwise, print "NO". You can print each letter in any case (upper or lower). In the first case, Gildong can take one block from the 1 -st column, move to the 2 -nd column, put the block o'...