Find the inverse of a penny pyramid from pen.js (total => stack)

README.md

unpen.js

Usage:

node index.js total

Notes

Assumes 1+h, 1+w per new row. Assumes 13 on Z Axis

unpen.js

// calculate possible pyramids from an option.
"use strict";

var num_total = process.argv[2];
var num_stack = 13;
var num_dec = 1;

var log = console.log;

console.log('total:', num_total, 'dec:', num_dec, 'stack:', num_stack);
console.log('');

var num = 0,
    num_height = 1,
    num_width = 1,
    success = false;

console.time('main')
for(var i = 0; num !== num_total; i++) {
  if(num > num_total) {
    // console.error('Number cannot be stacked.');
    break;
  }

  var nh_wd = num_dec*i;
  var nw_wd = nh_wd; // must be the same in this scenario

  var num_tmp = nw_wd*nh_wd; // get the area based on width and height
  var num_ws = num_tmp*num_stack; // get the amount w/ the variable stack.
  var temp_total = num + num_ws; // combine them all together with previous stacks totals

  // console.log('height:', nh_wd, 'width:', nw_wd, 'total:', temp_total);

  if(temp_total == num_total) {
    // console.log('total found');
    num_height = nh_wd;
    num_width = nw_wd; // outer scope
    success = true;
    num = temp_total;
    break;
  } else {
    // console.log('tt:', temp_total, 'nt:', num_total)
  }

  num = temp_total // add that layer to the total.
}

if(success) {
  log('succedded in finding a pyramid from the amount of pennies given');
  log('height:', num_height);
  log('width:', num_width);
  log('Z Axis:', num_stack);
  log('calculated total:', num);
  log('your total:', num_total);
  console.timeEnd('main')
  process.exit(0);
}

log('failed to find a pyramid type. It\'s most likely impossible.');
console.timeEnd('main')
process.exit(1);