Created
December 4, 2017 01:42
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const assert = require('assert') | |
module.exports = solve | |
const RIGHT = Symbol('RIGHT') | |
const UP = Symbol('UP') | |
const LEFT = Symbol('LEFT') | |
const DOWN = Symbol('DOWN') | |
function generate (turn) { | |
const size = turn * 2 - 1 | |
assert(size > 0, 'must have a positive size') | |
let square = new Array(size) | |
for (let i = 0; i < size; i++) { | |
square[i] = new Array(size).fill(0) | |
} | |
return square | |
} | |
function visitor (arry, x, y) { | |
let sum = 0 | |
// turn in the same order used by the visiting algorithm | |
sum += (arry[y + 1] || [])[x] || 0 | |
sum += (arry[y + 1] || [])[x + 1] || 0 | |
sum += (arry[y] || [])[x + 1] || 0 | |
sum += (arry[y - 1] || [])[x + 1] || 0 | |
sum += (arry[y - 1] || [])[x] || 0 | |
sum += (arry[y - 1] || [])[x - 1] || 0 | |
sum += (arry[y] || [])[x - 1] || 0 | |
sum += (arry[y + 1] || [])[x - 1] || 0 | |
return sum | |
} | |
function populate (goal, square, visit) { | |
const size = square.length | |
const center = Math.floor(size / 2) | |
let x = center | |
let y = center | |
// start from center | |
square[y][x] = 1 | |
let direction = RIGHT | |
function goAround (turn) { | |
const min = center - turn + 1 | |
const max = center + turn - 1 | |
while (true) { | |
switch (direction) { | |
case RIGHT: | |
if (x === max) { | |
if (y === min) { | |
return 0 | |
} else { | |
direction = UP | |
y += 1 | |
} | |
} else { | |
x += 1 | |
} | |
break | |
case UP: | |
if (y === max) { | |
direction = LEFT | |
x -= 1 | |
} else { | |
y += 1 | |
} | |
break | |
case LEFT: | |
if (x === min) { | |
direction = DOWN | |
y -= 1 | |
} else { | |
x -= 1 | |
} | |
break | |
case DOWN: | |
if (y === min) { | |
direction = RIGHT | |
x += 1 | |
} else { | |
y -= 1 | |
} | |
break | |
default: | |
console.error('bad direction!') | |
} | |
const value = visit(square, x, y) | |
square[y][x] = value | |
if (value > goal) { | |
return value | |
} | |
} | |
} | |
for (let turn = 2; turn <= (size + 1) / 2; turn++) { | |
const found = goAround(turn) | |
if (found) return found | |
} | |
} | |
function solve (goal) { | |
let turn = 0 | |
let square = [] | |
while (true) { | |
turn++ | |
square = generate(turn) | |
const found = populate(goal, square, visitor) | |
if (found) return found | |
} | |
} |
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