I have some (say, n) marbles (small glass balls) and I am going to buy some boxes to store them. The boxes are of two types: Type 1: each box costs c1 Taka and can hold exactly n1 marbles Type 2: each box costs c2 Taka and can hold exactly n2 marbles I want each of the used boxes to be filled to its capacity and also to minimize the total cost of buying them. Since I find it difficult for me to figure out how to distribute my marbles among the boxes, I seek your help. I want your program to be efficient also. Input The input file may contain multiple test cases. Each test case begins with a line containing the integer n (1 ≤ n ≤ 2, 000, 000, 000). The second line contains c1 and n1, and the third line contains c2 and n2. Here, c1, c2, n1 and n2 are all positive integers having values smaller than 2,000,000,000. A test case containing a zero for n in the first line terminates the input. Output For each test case in the input print a line containing the minimum cost solution (two nonnegative integers m1 and m2, where mi = number of T ypei boxes required) if one exists, print ‘failed’ otherwise. If a solution exists, you may assume that it is unique. Sample Input 43 13 24 40 59 5 12 0 Sample Output 13 1 failed