# Simple MCTS Example

This example demonstrates basic MCTS usage with a simple state transition function.

```julia
using LLMMCTS

# Define a simple state transition function
function simple_transition(state::Dict, args::NamedTuple)
    # In a real scenario, this would call an LLM
    # For this example, we'll just generate deterministic next states
    
    current_step = get(state, :step, 0)
    new_step = current_step + 1
    
    # Create new state
    newstate = Dict(
        :step => new_step,
        :reward => new_step * 2,  # Simple reward function
        :isterminal => new_step >= args.max_steps
    )
    
    # LLM would provide progressvalue estimate
    progressvalue = (new_step / args.max_steps) * 10
    
    return Dict(
        :newNodeKey => "step_$(new_step)",
        :newstate => newstate,
        :progressvalue => progressvalue
    )
end

# Initial state
initialstate = Dict(
    :step => 0,
    :reward => 0,
    :isterminal => false
)

# Transition arguments
transitionargs = (max_steps = 5,)

# Run MCTS
result = runMCTS(
    initialstate,
    simple_transition,
    transitionargs;
    maxiterations = 10,
    explorationweight = 1.0,
    maxSimulationDepth = 3,
    horizontalSampleExpansionPhase = 3
)

# Access results
println("Root node visits: ", result.root.visits)
println("Best next state: ", result.bestNextState)
println("Best terminal state: ", result.bestTerminalState)
println("High value states: ", result.highValueStateList)
```