Created
April 27, 2015 10:26
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Palindrom tasks
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var assert = require('assert'); | |
var check = function(num) { | |
var numStr = String(num); | |
var length = numStr.length / 2; | |
for(var i = 0; i <= length; i++) { | |
if (numStr[i] != numStr[numStr.length - i - 1]) { | |
return false; | |
} | |
} | |
return true; | |
}; | |
assert(check('1')); | |
assert(!check('12')); | |
assert(!check('123')); | |
assert(check('121')); | |
var naiveFind = function(k) { | |
var max = Math.pow(10, k) - 1, | |
min = Math.pow(10, k - 1), | |
left, right, prod, result = [0, 0, 0]; | |
left = max; | |
while(left > min) { | |
right = max; | |
assert(right > 0); | |
while(right > min){ | |
prod = left * right; | |
if(check(prod) && result[0] < prod) { | |
result = [prod, left, right]; | |
} | |
right--; | |
} | |
left--; | |
} | |
return result; | |
}; | |
var find = function(k) { | |
var max = Math.pow(10, k) - 1, min = Math.pow(10, k - 1) - 1, | |
i, j, pretender; | |
for(i = max; i > min; i--) { | |
pretender = Number(i+ String(i).split('').reverse().join('')); | |
for(j=max; j > min; j--){ | |
if(pretender / j <= max && pretender % j === 0) { | |
return [pretender, i, j]; | |
} | |
} | |
} | |
}; | |
console.log(naiveFind(3)); | |
console.log(find(3)); |
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