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Manish Jain
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Big-Data-Module/Data-Structure-Javascript/sorting-algo/Binary Search.js
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var binaryIndexOf = function(items,searchElement){ | ||
var minIndex = 0,maxIndex = items.length,currentIndex,currentElelment; | ||
while(maxIndex >= minIndex){ | ||
currentIndex = Math.floor((minIndex + maxIndex)/2); | ||
currentElelment = items[currentIndex]; | ||
if(currentElelment < searchElement){ | ||
minIndex = currentIndex + 1; | ||
}else if(currentElelment > searchElement){ | ||
maxIndex = currentIndex - 1; | ||
}else{ | ||
return currentIndex; | ||
} | ||
} | ||
return null | ||
} | ||
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console.log('binaryIndexOf(3) ',binaryIndexOf([2,7,5,1,34,3],3)) |
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/** | ||
Given an array S of n integers, find three integers in S such that the sum is closest to a given number, target. Return the sum of the three integers. You may assume that each input would have exactly one solution. | ||
For example, given array S = {-1 2 1 -4}, and target = 1. | ||
The sum that is closest to the target is 2. (-1 + 2 + 1 = 2). | ||
*/ | ||
/** | ||
* @param {number[]} nums | ||
* @param {number} target | ||
* @return {number} | ||
*/ | ||
var threeSumClosest = function(nums, target) { | ||
var len = nums.length, | ||
minDiff = Number.MAX_VALUE, | ||
diff, | ||
left, | ||
right, | ||
i, | ||
j; | ||
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nums.sort(function(a, b) { | ||
return a - b; | ||
}); | ||
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for (i = 0; i < len; i++) { | ||
left = i + 1; | ||
right = len - 1; | ||
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while (left < right) { | ||
diff = target - nums[i] - nums[left] - nums[right]; | ||
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if (diff === 0) { | ||
return target; | ||
} else if (diff > 0) { | ||
left++; | ||
} else { | ||
right--; | ||
} | ||
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if (Math.abs(diff) < Math.abs(minDiff)) { | ||
minDiff = diff; | ||
} | ||
} | ||
} | ||
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return target - minDiff; | ||
}; |
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/** | ||
Given an array S of n integers, are there elements a, b, c in S such that a + b + c = 0? Find all unique triplets in the array which gives the sum of zero. | ||
Note: | ||
Elements in a triplet (a,b,c) must be in non-descending order. (ie, a ≤ b ≤ c) | ||
The solution set must not contain duplicate triplets. | ||
For example, given array S = {-1 0 1 2 -1 -4}, | ||
A solution set is: | ||
(-1, 0, 1) | ||
(-1, -1, 2) | ||
*/ | ||
/** | ||
* @param {number[]} nums | ||
* @return {number[][]} | ||
*/ | ||
var threeSum = function(nums) { | ||
nums.sort(function(a, b) { | ||
return a - b; | ||
}); | ||
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var len = nums.length, | ||
i, | ||
result = [], | ||
curSol = []; | ||
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for (i = 0; i < len; i++) { | ||
if (i > 0 && nums[i] === nums[i - 1]) { | ||
continue; | ||
} | ||
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curSol.push(nums[i]); | ||
twoSum(result, curSol.concat(), i + 1, len - 1, -nums[i], nums); | ||
curSol.pop(); | ||
} | ||
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return result; | ||
}; | ||
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function twoSum(allSol, curSol, startIndex, endIndex, target, nums) { | ||
var start = startIndex, | ||
end = endIndex, | ||
sum, | ||
mid; | ||
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while (start < end) { | ||
sum = nums[start] + nums[end]; | ||
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if (sum === target) { | ||
curSol.push(nums[start]); | ||
curSol.push(nums[end]); | ||
allSol.push(curSol.concat()); | ||
curSol.pop(); | ||
curSol.pop(); | ||
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start++; | ||
end--; | ||
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while (nums[start] === nums[start - 1]) { | ||
start++; | ||
} | ||
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while (nums[end] === nums[end + 1]) { | ||
end--; | ||
} | ||
} else if (sum < target) { | ||
start++; | ||
} else { | ||
end--; | ||
} | ||
} | ||
} |
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/** | ||
Given an array S of n integers, are there elements a, b, c, and d in S such that a + b + c + d = target? Find all unique quadruplets in the array which gives the sum of target. | ||
Note: | ||
Elements in a quadruplet (a,b,c,d) must be in non-descending order. (ie, a ≤ b ≤ c ≤ d) | ||
The solution set must not contain duplicate quadruplets. | ||
For example, given array S = {1 0 -1 0 -2 2}, and target = 0. | ||
A solution set is: | ||
(-1, 0, 0, 1) | ||
(-2, -1, 1, 2) | ||
(-2, 0, 0, 2) | ||
*/ | ||
/** | ||
* @param {number[]} nums | ||
* @param {number} target | ||
* @return {number[][]} | ||
*/ | ||
var fourSum = function(nums, target) { | ||
nums.sort(function(a, b) { | ||
return a - b; | ||
}); | ||
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var len = nums.length, | ||
result = [], | ||
i; | ||
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kSum(result, [], 4, nums, target, 0, len - 1); | ||
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return result; | ||
}; | ||
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function kSum(result, curArr, k, nums, target, startIndex, endIndex) { | ||
var len = nums.length, | ||
start, | ||
end, | ||
sum, | ||
i; | ||
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if (k >= 3) { | ||
for (i = startIndex; i <= endIndex; i++) { | ||
if (i > startIndex && nums[i] === nums[i - 1]) { | ||
continue; | ||
} | ||
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curArr.push(nums[i]); | ||
kSum(result, curArr.concat(), k - 1, nums, target - nums[i], i + 1, endIndex); | ||
curArr.pop(); | ||
} | ||
} | ||
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if (k === 1) { | ||
for (i = startIndex; i <= endIndex; i++) { | ||
if (nums[i] === target) { | ||
result.push(nums[i]); | ||
} | ||
} | ||
} | ||
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if (k === 2) { | ||
start = startIndex; | ||
end = endIndex; | ||
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while (start < end) { | ||
sum = nums[start] + nums[end]; | ||
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if (sum === target) { | ||
curArr.push(nums[start]); | ||
curArr.push(nums[end]); | ||
result.push(curArr.concat()); | ||
curArr.pop(); | ||
curArr.pop(); | ||
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start++; | ||
end--; | ||
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while(nums[start] === nums[start - 1]) { | ||
start++; | ||
} | ||
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while(nums[end] === nums[end + 1]) { | ||
end--; | ||
} | ||
} else if (sum < target) { | ||
start++; | ||
} else { | ||
end--; | ||
} | ||
} | ||
} | ||
} |
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/** | ||
Given two binary strings, return their sum (also a binary string). | ||
For example, | ||
a = "11" | ||
b = "1" | ||
Return "100". | ||
*/ | ||
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/** | ||
* @param {string} a | ||
* @param {string} b | ||
* @return {string} | ||
*/ | ||
var addBinary = function(a, b) { | ||
var lenA = a.length, | ||
lenB = b.length, | ||
overFlow = 0, | ||
charA, | ||
charB, | ||
result = '', | ||
curVal, | ||
i, | ||
j; | ||
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for (i = lenA - 1, j = lenB - 1; i >= 0 && j >= 0; i--, j --) { | ||
charA = parseInt(a.charAt(i)); | ||
charB = parseInt(b.charAt(j)); | ||
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curVal = charA + charB + overFlow; | ||
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if (curVal > 1) { | ||
curVal = curVal - 2; | ||
overFlow = 1; | ||
} else { | ||
overFlow = 0; | ||
} | ||
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result = curVal + result; | ||
} | ||
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while (i >= 0) { | ||
charA = parseInt(a.charAt(i)); | ||
curVal = charA + overFlow; | ||
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if (curVal > 1) { | ||
curVal = curVal - 2; | ||
overFlow = 1; | ||
} else { | ||
overFlow = 0; | ||
} | ||
result = curVal + result; | ||
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i--; | ||
} | ||
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while (j >= 0) { | ||
charB = parseInt(b.charAt(j)); | ||
curVal = charB + overFlow; | ||
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if (curVal > 1) { | ||
curVal = curVal - 2; | ||
overFlow = 1; | ||
} else { | ||
overFlow = 0; | ||
} | ||
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result = curVal + result; | ||
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j--; | ||
} | ||
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if (overFlow === 1) { | ||
result = '1' + result; | ||
} | ||
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return result; | ||
}; |
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/** | ||
Given a non-negative integer num, repeatedly add all its digits until the result has only one digit. | ||
For example: | ||
Given num = 38, the process is like: 3 + 8 = 11, 1 + 1 = 2. Since 2 has only one digit, return it. | ||
Follow up: | ||
Could you do it without any loop/recursion in O(1) runtime? | ||
Hint: | ||
A naive implementation of the above process is trivial. Could you come up with other methods? | ||
What are all the possible results? | ||
How do they occur, periodically or randomly? | ||
You may find this Wikipedia article useful. | ||
*/ | ||
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/** | ||
* @param {number} num | ||
* @return {number} | ||
*/ | ||
var addDigits = function(num) { | ||
return (num - 1) % 9 + 1; | ||
}; |
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