Created
May 11, 2018 04:02
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/* | |
Initial questions: | |
- How large is the grid? | |
- What is the format of the input I'm given? | |
- Is the player guaranteed to exist on the grid? | |
- Is there always going to be a blocking tile? | |
Proposal: dynamic programming | |
- If adjacent tile is out of bounds (e.g. we're at | |
the edge) or a barrier, return 0. Cache the result. | |
- Otherwise return the memoized result of the | |
adjacent tile + 1. | |
*/ | |
// Explicitly check for integers to prevent false negatives for '0' value | |
const tileExists = (row, col, grid) => grid[row] && | |
Number.isInteger(grid[row][col]); | |
const serializePosition = position => [position.row, position.col].join('-'); | |
/** | |
* @param {Object} x,y position of a particular tile | |
* @param {Array} Entire game grid | |
*/ | |
function countDamage(position, grid, memoTable = {}) { | |
let leftTile = 0; | |
let rightTile = 0; | |
let aboveTile = 0; | |
let belowTile = 0; | |
const positionKey = serializePosition(position.row, position.col); | |
if (Number.isInteger(memoTable[positionKey])) { | |
return memoTable[positionKey]; | |
} | |
if (tileExists(position.row, position.col - 1, grid)) { | |
leftTile = countDamage({ | |
row: position.row, | |
col: position.col - 1 | |
}, grid, memoTable); | |
} | |
if (tileExists(position.row, position.col + 1, grid)) { | |
rightTile = countDamage({ | |
row: position.row, | |
col: position.col + 1 | |
}, grid, memoTable); | |
} | |
if (tileExists(position.row - 1, position.col, grid)) { | |
aboveTile = countDamage({ | |
row: position.row - 1, | |
col: position.col | |
}, grid, memoTable); | |
} | |
if (tileExists(position.row + 1, position.col, grid)) { | |
belowTile = countDamage({ | |
row: position.row + 1, | |
col: position.col | |
}, grid, memoTable); | |
} | |
const totalDamage = 1 + leftTile + rightTile + aboveTile + belowTile; | |
memoTable[positionKey] = totalDamage; | |
if (totalDamage > memoTable.maxDamage) { | |
memoTable.maxDamage = totalDamage; | |
memoTable.bestTile = position; | |
} | |
return totalDamage; | |
} | |
/** | |
* @param {Object} Player's row and col position | |
* @param {Array} 2D array representing board | |
* @throws TypeError | |
* | |
* @return {Object} Max damage row and col | |
*/ | |
function findMaxDamageTile(playerPos, grid) { | |
if (typeof playerPos !== 'object' || playerPos === null) { | |
throw new TypeError('Invalid player input'); | |
} | |
if (!Array.isArray(grid)) { | |
throw new TypeError('Invalid grid'); | |
} | |
if (!grid[playerPos.col] || !grid[playerPos.row]) { | |
throw new TypeError('Player is out of bounds.'); | |
} | |
const memoTable = {}; | |
memoTable.maxDamage = 0; | |
memoTable.bestTile = playerPos; | |
countDamage(playerPos, grid, memoTable); | |
return memoTable.bestTile; | |
} | |
const grid = [ | |
// Row 1 | |
[0, 0, 0, 0], | |
// Row 2 | |
[0, 0, 1, 0] | |
// etc. | |
]; | |
findMaxDamageTile( | |
{row: 1, col: 1}, | |
grid | |
); |
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