On a broken calculator that has a number showing on its display, we can perform two operations:
- Double: Multiply the number on the display by 2, or;
- Decrement: Subtract 1 from the number on the display.
Initially, the calculator is displaying the number X
.
Return the minimum number of operations needed to display the number Y
.
Input: X = 2, Y = 3 Output: 2 Explanation: Use double operation and then decrement operation {2 -> 4 -> 3}.
Input: X = 5, Y = 8 Output: 2 Explanation: Use decrement and then double {5 -> 4 -> 8}.
Input: X = 3, Y = 10 Output: 3 Explanation: Use double, decrement and double {3 -> 6 -> 5 -> 10}.
Input: X = 1024, Y = 1 Output: 1023 Explanation: Use decrement operations 1023 times.
1 <= X <= 10^9
1 <= Y <= 10^9
impl Solution {
pub fn broken_calc(x: i32, y: i32) -> i32 {
let mut y = y;
let mut ret = 0;
while x < y {
ret += 1;
if y % 2 == 1 {
y += 1;
} else {
y /= 2;
}
}
ret + x - y
}
}