Created
April 1, 2014 00:34
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Find the max slice of an array
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function sum(a,b){ | |
return a+b; | |
} | |
Array.prototype.min = function(){ | |
return Math.min.apply(null, this); | |
} | |
function maxSlice(arr){ | |
//Are there any negative numbers? If not, the entire array is the greatest segment. | |
if(arr.min() >= 0) return arr; | |
//Is array length 1? Just return | |
if(arr.length == 1) return arr; | |
//Find the entire sum | |
var total = arr.reduce(sum); | |
//Find the min index | |
var mindex = arr.indexOf(arr.min()); | |
//If mindex at the end | |
if(mindex == arr.length - 1) return maxSlice(arr.slice(0, -1)); | |
//If mindex at beginning | |
if(mindex == 0) return maxSlice(arr.slice(1)); | |
//Split the array into two chunks | |
l = maxSlice(arr.slice(0,mindex)); | |
lsum = l.reduce(sum); | |
r = maxSlice(arr.slice(mindex+1)); | |
rsum = r.reduce(sum); | |
//Return the greatest of the total or the chunks before / after the min | |
if(total > lsum && total > rsum){ | |
return maxSlice(arr); | |
} else { | |
return (rsum > lsum) ? r : l; | |
} | |
} | |
print(maxSlice([1, -3, 4, -2, 2])); | |
print(maxSlice([2, 3, 1, -5, 2])); | |
print(maxSlice([-23, -14, 4, 3, 2, -21, 14, -32, 40])); | |
print(maxSlice([-17, 14, 21, 2, -38, 22, 8, 7, 9, -38])); | |
print(maxSlice([-100, -200, 50, -50, 23, 22, 14, 1])); |
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