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.

Example 1:

Input: X = 2, Y = 3
Output: 2
Explanation: Use double operation and then decrement operation {2 -> 4 -> 3}.

Example 2:

Input: X = 5, Y = 8
Output: 2
Explanation: Use decrement and then double {5 -> 4 -> 8}.

Example 3:

Input: X = 3, Y = 10
Output: 3
Explanation: Use double, decrement and double {3 -> 6 -> 5 -> 10}.

Example 4:

Input: X = 1024, Y = 1
Output: 1023
Explanation: Use decrement operations 1023 times.
 
 
Runtime: 4 ms, faster than 100.00% of C++ online submissions for Broken Calculator.
Memory Usage: 4.7 MB, less than 100.00% of C++ online submissions for Broken Calculator.
class Solution {
public:
int brokenCalc(int X, int Y) {
if(X == Y) return ;
if(X < Y) {
if(Y& == ) {
int tmp = ((Y >> )+) << ;
return brokenCalc(X,tmp >> ) + tmp - Y + ;
}else {
return brokenCalc(X,Y>>)+;
}
}
return X - Y;
}
};

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