Created
March 23, 2019 09:59
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Find Smallest Positive Number
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#include <stdio.h> | |
#include <vector> | |
#include <unordered_map> | |
#include <set> | |
using namespace std; | |
struct MinMax { | |
int min; | |
int max; | |
MinMax(int min, int max): min(min), max(max) {} | |
}; | |
MinMax minMaxPositiveIndex(vector<int>& nums) { | |
int min = std::numeric_limits<int>::max(); | |
int max = 0; | |
int minRes = 0; | |
int maxRes = 0; | |
for (int i = 0; i < nums.size(); i++) { | |
if (nums[i] > 0 && nums[i] <= min) { | |
minRes = i; | |
min = nums[i]; | |
} | |
if (nums[i] > max) { | |
max = nums[i]; | |
maxRes = i; | |
} | |
} | |
return MinMax(minRes, maxRes); | |
} | |
void swap(vector<int>& nums, int i, int j) { | |
int temp = nums[i]; | |
nums[i] = nums[j]; | |
nums[j] = temp; | |
} | |
int dividedByMinPositiveIndex(vector<int>& nums) { | |
int i = 0; | |
int j = int(nums.size()); | |
int lo = nums.front(); | |
while (true) { | |
while (nums[++i] < lo) | |
if (i == nums.size() - 1) break; | |
while (nums[--j] > lo) | |
if (j == 0) break; | |
if (i >= j) | |
break; | |
swap(nums, i, j); | |
} | |
swap(nums, 0, j); | |
return j; | |
} | |
int reArrange(vector<int>& nums, int lo, int hi, int min, int max) { | |
int i = lo; | |
while (i <= hi) { | |
int val = nums[i]; | |
int realIndex = nums[i] - min + lo; | |
if (realIndex < i) { | |
nums[realIndex] = val; | |
nums[i] = -1; | |
i++; | |
continue; | |
} else if (realIndex == i) { | |
i++; | |
continue; | |
} else if (realIndex > i && realIndex <= hi) { | |
swap(nums, realIndex, i); | |
continue; | |
} else if(realIndex > hi) { | |
nums[i] = -1; | |
i++; | |
continue; | |
} | |
} | |
for (int i = lo; i <= hi; i++) { | |
if (nums[i] == - 1) { | |
return i - lo + min; | |
} | |
} | |
return max + 1; | |
} | |
int lowestInteger(vector<int>& nums) { | |
MinMax minAndMax = minMaxPositiveIndex(nums); | |
int min = nums[minAndMax.min]; | |
int max = nums[minAndMax.max]; | |
if (min > 1) { | |
return 1; | |
} | |
swap(nums, 0, minAndMax.min); | |
int newMinIndx = dividedByMinPositiveIndex(nums); | |
return reArrange(nums, newMinIndx, int(nums.size()) - 1, min, max); | |
} | |
int main(int argc, const char * argv[]) { | |
printf("Dang chay \n"); | |
vector<int> vect{ 4,3,2,1,5,6,7, 10, 20, 30 }; | |
int result = lowestInteger(vect); | |
printf("Result: %d \n", result); | |
return 0; | |
} |
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