//const numBeats = Math.ceil(Math.random()*9);

//let resultString = '';
//const instructionPosibilities = [ 'n', 'p', 'm', 'b' ]

//for(let i = 1; i <= numBeats; i++){
	//const instructionIndex = Math.floor(Math.random()*instructionPosibilities.length);

	//resultString += instructionPosibilities[instructionIndex] + ' ';
//}

//console.log(resultString);


//5: 3+2, 2+3
//6: 2+2+2, 3+3
//7: 2+2+3, 2+3+2, 3+2+2
//8: 2+3+3, 3+2+3, 3+3+2
//9: 3+3+3, 2+2+2+3, 2+2+3+2, 2+3+2+2, 3+2+2+2

const breakDown = (node)=>{

	if(node.value < 4){
		return node
	}

	//2 path
	node.twoPath = {};
	node.twoPath.left = { value: 2 }
	node.twoPath.right = breakDown({value:node.value-2})

	//3 path
	if(node.value > 4){
		node.threePath = {}
		node.threePath.left = { value: 3 }
		node.threePath.right = breakDown({value:node.value-3})
	}

	return node;
}

const tree = breakDown({value:9});

console.dir(tree, {depth:null});

const getLeaves = (node)=>{
	if(node.twoPath === undefined){
		return node.value;
	}

	let twoPathResult = [];
	const twoPathLeftValue = getLeaves(node.twoPath.left);//2
	const twoPathRightValue = getLeaves(node.twoPath.right);//[2,2]
	if(Number.isInteger(twoPathRightValue)){
		twoPathResult[0] = twoPathLeftValue;
		twoPathResult[1] = twoPathRightValue;
	} else {
		if(Number.isInteger(twoPathRightValue[0])){
			twoPathRightValue.unshift(twoPathLeftValue);
		} else {
			twoPathRightValue[0].unshift(twoPathLeftValue)
			twoPathRightValue[1].unshift(twoPathLeftValue);
		}
		twoPathResult = twoPathRightValue;
	}

	let threePathResult = [];
	if(node.threePath !== undefined){
		const threePathLeftValue = getLeaves(node.threePath.left);
		const threePathRightValue = getLeaves(node.threePath.right);
		if(Number.isInteger(threePathRightValue)){
			threePathResult[0] = threePathLeftValue;
			threePathResult[1] = threePathRightValue;
		} else {
			threePathResult[0] = threePathLeftValue;
			threePathResult = threePathResult.concat(threePathRightValue);
		}
	}
	
	if(threePathResult.length === 0){
		return twoPathResult;
	} else {
		if(Number.isInteger(twoPathResult[0])){
			return [twoPathResult, threePathResult]
		} else {
			twoPathResult.push(threePathResult)
			return twoPathResult;
		}
	}
}
const leaves = getLeaves(tree);

console.dir(leaves, {depth:null});