Calculator Games

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Calculator Game Path Solver

Enter your current state and available buttons to find the winning sequence.

Solution Found!

How to Win Calculator Games

Calculator games are a popular genre of logic puzzles where players must transform a starting number into a specific target number using a limited set of operations and a fixed number of moves. Unlike a standard calculator, these games challenge your reverse-engineering skills and mathematical logic.

Key Strategies for Success

  • Work Backwards: If your target is 100 and you have a "*2" button, consider if 50 was a viable previous step.
  • Identify Bottlenecks: If you have limited moves, look for operations that change the number significantly, like multiplication or large additions.
  • Track Patterns: Many levels use recurring sequences. If "+3" and "-1" are available, you effectively have a "+2" button that costs two moves.
Realistic Example:
Starting Number: 0 | Goal: 24 | Moves: 4
Buttons: +6, *3, -2
Solution: 0 + 6 = 6 -> 6 * 3 = 18 -> 18 + 6 = 24 (Solved in 3 moves!)

Understanding the Logic

This solver uses a Breadth-First Search (BFS) algorithm to explore every possible combination of your button presses. It prioritizes the shortest path to the goal. If a solution exists within your "Max Moves" limit, it will display the exact sequence of buttons to press.

Common Operations Used:

  • Addition/Subtraction: Used for fine-tuning the final digits.
  • Multiplication/Division: Used for rapid scaling toward the target.
  • Reverse/Negative: Advanced calculator games include "Reverse" (12 becomes 21) or sign flipping (+5 becomes -5).
function solveCalculatorGame() { var start = parseFloat(document.getElementById('startValue').value); var goal = parseFloat(document.getElementById('goalValue').value); var maxMoves = parseInt(document.getElementById('maxMoves').value); var ops = [ document.getElementById('op1').value.trim(), document.getElementById('op2').value.trim(), document.getElementById('op3').value.trim() ].filter(function(el) { return el !== ""; }); var resultDiv = document.getElementById('gameResult'); var resultPath = document.getElementById('resultPath'); var resultStatus = document.getElementById('resultStatus'); if (isNaN(start) || isNaN(goal) || isNaN(maxMoves)) { alert("Please enter valid numbers for start, goal, and moves."); return; } // BFS Queue: [currentValue, pathArray] var queue = [[start, []]]; var found = false; var finalPath = []; // Simple validation for operations function applyOp(val, opStr) { var num = parseFloat(opStr.substring(1)); var action = opStr.charAt(0); if (isNaN(num)) return val; if (action === '+') return val + num; if (action === '-') return val – num; if (action === '*') return val * num; if (action === '/') return num !== 0 ? val / num : val; return val; } // BFS search var visited = new Set(); while (queue.length > 0) { var current = queue.shift(); var currentVal = current[0]; var path = current[1]; if (currentVal === goal) { finalPath = path; found = true; break; } if (path.length < maxMoves) { for (var i = 0; i < ops.length; i++) { var nextVal = applyOp(currentVal, ops[i]); var nextPath = path.concat(ops[i] + " (" + nextVal + ")"); // State tracking to prevent infinite loops (value + depth) var stateKey = nextVal + "_" + nextPath.length; if (!visited.has(stateKey)) { visited.add(stateKey); queue.push([nextVal, nextPath]); } } } } resultDiv.style.display = "block"; if (found) { resultStatus.innerText = "Solution Found in " + finalPath.length + " moves!"; resultStatus.style.color = "#27ae60"; var html = "Start: " + start + ""; for (var j = 0; j < finalPath.length; j++) { html += "" + finalPath[j] + ""; if (j < finalPath.length – 1) html += " → "; } resultPath.innerHTML = html; } else { resultStatus.innerText = "No Solution Found!"; resultStatus.style.color = "#e74c3c"; resultPath.innerHTML = "Try increasing Max Moves or checking your operation inputs (format: +5, *2, etc)."; } }

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