Why a Simulator?
Kids these days don't have the time nor the ambition to actually go and stack boxes on the see-saw or play around with balancing physical objects. This leaves lots of room in the software market for a Lever Simulator which will, according to my models, sell like mad!
Programming Help Wanted
I've filed the patent for such a game (pending), but need an expert programmer to write the game-logic for me. From my understanding, it is standard practice to compensate programmers based on the size in bytes of the final program. As such I will be awarding this lucrative contract to the lowest bidder.
A lever is a series of boxes or empty spaces that is balanced by a fulcrum. Each box has a particular weight one through nine and spaces have no weight. As you know, a box's weight on the lever is directly proportional to how far that box is from the fulcrum. A box of weight
4 that is on the third space from the fulcrum will contribute
12 effective units of force to that side of the lever.
I need a program that, given an input lever, will output whether the lever will skew toward the left, the right, or be perfectly balanced.
- You will write for me a program.
- The input will contain one line of text.
- The input will come from
stdinor as one command-line string.
- Boxes will represented by the characters '
1' through '
9'. These characters represent their respective weights. An empty space will be represented by a space '
'. The fulcrum will be represented by a caret '
A sample input lever could look like:
8 2^ 941
This lever is perfectly balanced:
(4*8) + 0 + 0 + (1*2) == 0 + (2*9) + (3*4) + (4*1) == 34
- There will be no leading nor trailing spaces. There will be no trailing newline.
- No need to handle malformed input, input will always have exactly one fulcrum, and only numbers and spaces.
- The output will indicate whether the lever is left-heavy, right-heavy, or balanced.
- Your program must have exactly 3 possible outputs that could result from a well-formed input. You can choose what these are.
- The output must either be print to
stdoutor be the return code of the program.
Here I use
B to mean left-heavy, right-heavy, balanced:
(If anyone has some "trickier" test cases, feel free to edit them in).
Not-necessarily-inspired-by, but related to Balance a set of weights on a seesaw