Given that four integers a, B, C and D are not equal to each other, and ABCD = 25, find the value of a + B + C + D

Given that four integers a, B, C and D are not equal to each other, and ABCD = 25, find the value of a + B + C + D

Because 25 = 5 × 5, it is unlikely that a, B, C, D are all positive numbers, because if they are all positive numbers, there are no more than two cases: 1. Two numbers are 5, but the questions are not equal to each other. 2. One number is 25, but in this way, the other three numbers must all be 1, so negative integers should be considered