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problem 11 on project euler
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| var grid = [[8,2,22,97,38,15,0,40,0,75,4,5,7,78,52,12,50,77,91,8],[49,49,99,40,17,81,18,57,60,87,17,40,98,43,69,48,4,56,62,0], | |
| [81,49,31,73,55,79,14,29,93,71,40,67,53,88,30,3,49,13,36,65],[52,70,95,23,4,60,11,42,69,24,68,56,1,32,56,71,37,2,36,91], | |
| [22,31,16,71,51,67,63,89,41,92,36,54,22,40,40,28,66,33,13,80],[24,47,32,60,99,3,45,2,44,75,33,53,78,36,84,20,35,17,12,50], | |
| [32,98,81,28,64,23,67,10,26,38,40,67,59,54,70,66,18,38,64,70],[67,26,20,68,2,62,12,20,95,63,94,39,63,8,40,91,66,49,94,21], | |
| [24,55,58,5,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72],[21,36,23,9,75,0,76,44,20,45,35,14,0,61,33,97,34,31,33,95], | |
| [78,17,53,28,22,75,31,67,15,94,3,80,4,62,16,14,9,53,56,92],[16,39,5,42,96,35,31,47,55,58,88,24,0,17,54,24,36,29,85,57], | |
| [86,56,0,48,35,71,89,7,5,44,44,37,44,60,21,58,51,54,17,58],[19,80,81,68,5,94,47,69,28,73,92,13,86,52,17,77,4,89,55,40], | |
| [4,52,8,83,97,35,99,16,7,97,57,32,16,26,26,79,33,27,98,66],[88,36,68,87,57,62,20,72,3,46,33,67,46,55,12,32,63,93,53,69], | |
| [4,42,16,73,38,25,39,11,24,94,72,18,8,46,29,32,40,62,76,36],[20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74,4,36,16], | |
| [20,73,35,29,78,31,90,1,74,31,49,71,48,86,81,16,23,57,5,54],[1,70,54,71,83,51,54,69,16,92,33,48,61,43,52,1,89,19,67,48]], | |
| subArrayMaxes, totalMax, | |
| directionChecks = { | |
| verticalCheck: function (grid) { | |
| var product = 1, | |
| distance = 0; | |
| for (distance; distance < grid.length; distance++) { | |
| product *= grid[distance][0]; | |
| } | |
| return (product || 0); | |
| }, | |
| horizontalCheck: function (grid) { | |
| var product = 1, | |
| distance = 0; | |
| for (distance; distance < grid.length; distance++) { | |
| product *= grid[0][distance]; | |
| } | |
| return (product || 0); | |
| }, | |
| diagOneCheck: function (grid) { | |
| var product = 1, | |
| distance = 0; | |
| for (distance; distance < grid.length; distance++) { | |
| product *= grid[distance][distance]; | |
| } | |
| return (product || 0); | |
| }, | |
| diagTwoCheck: function (grid) { | |
| var product = 1, | |
| distance = 0; | |
| for (distance; distance < grid.length; distance++) { | |
| product *= grid[grid.length - 1 - distance][distance]; | |
| } | |
| return (product || 0); | |
| } | |
| }, | |
| checks = [directionChecks.verticalCheck, directionChecks.horizontalCheck, directionChecks.diagOneCheck, directionChecks.diagTwoCheck]; | |
| function subGrid(grid, distance) { | |
| var colLen = grid.length, | |
| rowLen = grid[0].length, | |
| subGrids = [], | |
| tempGrid = [], | |
| x, y = 0, | |
| lenCountX, lenCountY; | |
| //loop through all the applicable points of the array | |
| for (y; y < colLen; y++) { | |
| for (x = 0; x < rowLen; x++) { | |
| //from the point x, y generate the subGrid and append it to the list of grids | |
| for (lenCountX = 0; lenCountX < distance; lenCountX++) { | |
| for (lenCountY = 0; lenCountY < distance; lenCountY++) { | |
| if (!tempGrid[lenCountY]) { | |
| tempGrid[lenCountY] = []; | |
| } | |
| if (grid[y + lenCountY]) { | |
| tempGrid[lenCountY][lenCountX] = | |
| grid[y + lenCountY][x + lenCountX]; | |
| } else { | |
| tempGrid[lenCountY][lenCountX] = undefined; | |
| } | |
| } | |
| } | |
| subGrids.push(tempGrid); | |
| tempGrid = []; | |
| } | |
| } | |
| return subGrids; | |
| } | |
| function checkSubGrids(subGrid, index, allGrids) { | |
| //this should be set to the an array of the checks to execute | |
| return this.map(function (checkFunc, index, allChecks) { | |
| return checkFunc(subGrid); | |
| }); | |
| } | |
| // function maxOfArray(array) { | |
| // return Math.max.apply(undefined, array); | |
| // } | |
| function maxOfArray(leadingHighest, currentNum) { | |
| return Math.max(leadingHighest, currentNum); | |
| } | |
| function largestProduct(grid, subGridSize) { | |
| subArrayMaxes = subGrid(grid, 4) | |
| .map(checkSubGrids, checks); | |
| totalMax = subArrayMaxes.map(function (subArrayChecks) { | |
| return subArrayChecks.reduce(maxOfArray, 0); | |
| }).reduce(maxOfArray, 0); | |
| return totalMax; | |
| } | |
| console.log(largestProduct(grid, 4)); |
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