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Problem solution · Turing

CCC 2006 J2 - Roll the Dice

CCC 2006 J2 - Roll the Dice: a Turing solution using direct simulation. Learn the idea, check the complexity, and read the full code, with credit to CCCSolutions.

Technique
Direct simulation
Source
CCCSolutions
Length
31 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Direct simulation

For CCC 2006 J2 - Roll the Dice, the implementation follows the problem’s operations directly while maintaining only the state needed for the next decision.

  1. Translate each rule into one explicit state update.
  2. Maintain the invariant after every processed item.
  3. Return the accumulated state once all relevant input has been handled.

Code notes

  • 31 lines of Turing from the credited upstream file ccc06j2.t.
  • The implementation keeps its working state in language-native values and containers.
  • No explicit loop blocks detected.

Complexity

Count the number and nesting of passes over the input, then include the maintained containers in the memory estimate.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from CCCSolutions by CCCSolutions contributors · Milliken Mills High School and is used under the MIT licence.

Open problem ↗Original source ↗
Full codeCCC 2006 J2 - Roll the Dice · TuringTuring
Use this to learn the idea, then write your own version.
% CCC 2006 Junior problem 2% Roll the Dice%% given to dice with m and n sides, (from 1 to m or n)% calculate the number of combos which add to 10 % a simple loop does the trick var n, m : intvar c : int put "Enter m: "get mput "Enter n: "get n c := 0for i : 1 .. m    if 10 - i <= n and 10 - i > 0 then        c := c + 1    end ifend for put ""if c = 1 then    put "There is ", c, " way to get the sum 10."else    put "There are ", c, " ways to get the sum 10."end if

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