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Added Longest increasing subsequence algorithm, and optimized variance.c

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Added Longest increasing subsequence algorithm, and optimized variance.c
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Chetan Kaushik 2017-04-15 23:12:17 +05:30 committed by GitHub
commit 4913c8e604
4 changed files with 142 additions and 56 deletions
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88
LongestSubSequence.c Normal file
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#include <stdio.h>
#include <stdlib.h>
void longestSub(int* ARRAY,int ARRAY_LENGTH, int** RESULT,int* RESULT_LENGTH){ //RESULT and RESULT_LENGTH will be modified by their pointers
if(ARRAY_LENGTH <= 1){
*RESULT=ARRAY;
*RESULT_LENGTH = ARRAY_LENGTH;
}
else{
int PIVOT = ARRAY[0];
int *LONGEST_SUB = NULL;
int i, j, LONGEST_SUB_LENGTH = 0;
int TEMPORARY_ARRAY_LENGTH = 0, *TEMPORARY_ARRAY = NULL;
for(i = 1; i < ARRAY_LENGTH; i++){
if (ARRAY[i] < PIVOT){
TEMPORARY_ARRAY_LENGTH = 0;
TEMPORARY_ARRAY = NULL;
for(j = i+1;j < ARRAY_LENGTH; j++){
if(ARRAY[j] >= ARRAY[i]){
TEMPORARY_ARRAY_LENGTH++;
TEMPORARY_ARRAY = (int *)realloc(TEMPORARY_ARRAY, TEMPORARY_ARRAY_LENGTH*sizeof(int));
TEMPORARY_ARRAY[TEMPORARY_ARRAY_LENGTH-1] = ARRAY[j];
}
}
longestSub(TEMPORARY_ARRAY, TEMPORARY_ARRAY_LENGTH, &TEMPORARY_ARRAY, &TEMPORARY_ARRAY_LENGTH);
if(LONGEST_SUB_LENGTH < TEMPORARY_ARRAY_LENGTH + 1){
LONGEST_SUB_LENGTH = TEMPORARY_ARRAY_LENGTH + 1;
LONGEST_SUB = (int *)realloc(LONGEST_SUB, LONGEST_SUB_LENGTH*sizeof(int));
LONGEST_SUB[0] = ARRAY[i];
for(i = 1;i < LONGEST_SUB_LENGTH; i++)
LONGEST_SUB[i] = TEMPORARY_ARRAY[i-1];
}
}
}
TEMPORARY_ARRAY = NULL;
TEMPORARY_ARRAY_LENGTH = 0;
for(i = 1;i < ARRAY_LENGTH; i++){
if(ARRAY[i] >= PIVOT){
TEMPORARY_ARRAY_LENGTH++;
TEMPORARY_ARRAY = (int *)realloc(TEMPORARY_ARRAY, TEMPORARY_ARRAY_LENGTH*sizeof(int));
TEMPORARY_ARRAY[TEMPORARY_ARRAY_LENGTH-1] = ARRAY[i];
}
}
longestSub(TEMPORARY_ARRAY, TEMPORARY_ARRAY_LENGTH, &TEMPORARY_ARRAY, &TEMPORARY_ARRAY_LENGTH);
if(TEMPORARY_ARRAY_LENGTH + 1 > LONGEST_SUB_LENGTH){
LONGEST_SUB_LENGTH = TEMPORARY_ARRAY_LENGTH + 1;
LONGEST_SUB = (int *)realloc(LONGEST_SUB, LONGEST_SUB_LENGTH*sizeof(int));
LONGEST_SUB[0] = PIVOT;
for(i = 1;i < LONGEST_SUB_LENGTH; i++)
LONGEST_SUB[i] = TEMPORARY_ARRAY[i-1];
}
*RESULT = LONGEST_SUB;
*RESULT_LENGTH = LONGEST_SUB_LENGTH;
}
}
int main(){
int EXAMPLE_LENGTH = 8;
int EXAMPLE[] = {18, 2, 15, 4, 30, 0, 11, 12};
int *RESULT = NULL;
int RESULT_LENGTH, i;
longestSub(EXAMPLE, EXAMPLE_LENGTH, &RESULT, &RESULT_LENGTH);
printf("Longest Sub Sequence length: %d and it's:\n", RESULT_LENGTH);
for(i = 0;i < RESULT_LENGTH; i++)
printf("%d ",RESULT[i]);
printf("\n");
return 0;
}

56
VARIANCE.C
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#include<stdio.h>
#include<conio.h>
#include<math.h>
void main()
{
int a[10],n,i,j,temp,sum=0;
float mean,var,stand;
clrscr();
printf("Enter no. for Random Numbers :");
scanf("%d",&n);
for(i=0;i<n;i++)
{
a[i]=rand()%100;
}
printf("Random Numbers Generated are :\n");
for(i=0;i<n;i++)
{
printf("\n%d",a[i]);
}
printf("\n");
printf("\nSorted Data:");
for(i=0;i<n;i++)
{
for(j=0;j<n;j++)
{
if(a[i]<a[j])
{
temp=a[i];
a[i]=a[j];
a[j]=temp;
}
}
}
for(i=0;i<n;i++)
{
printf("\n%d",a[i]);
sum=sum+a[i];
}
mean=sum/(float)n;
printf("\nMean :");
printf("%f",mean);
printf("\n");
for(i=0;i<n;i++)
{
sum=sum+(pow((a[i]-mean),2));
}
var=sum/(float)n;
printf("\nVariance is : %f",var);
printf("\n");
stand=sqrt(var);
printf("\nStandard Deviation is : %f",stand);
getch();
}

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variance.c Normal file
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#include<stdio.h>
#include <stdlib.h>
#include<math.h>
int main() {
int *ARRAY=NULL,ARRAY_LENGTH,i,TEMPORARY_ELEMENT,isSorted=0;
float MEAN=0,VARIANCE=0,STAND;
printf("Enter no. for Random Numbers :");
scanf("%d",&ARRAY_LENGTH);
ARRAY=(int *)realloc(ARRAY,ARRAY_LENGTH*(sizeof(int))); //We allocate the dedicated memory
for(i=0;i<ARRAY_LENGTH;i++) //We generate the random numbers
ARRAY[i]=rand()%100;
printf("Random Numbers Generated are :\n"); //We display them
for(i=0;i<ARRAY_LENGTH;i++)
printf("%d ",ARRAY[i]);
printf("\nSorted Data: ");//Then we sort it using Bubble Sort..
while(!isSorted){ //While our array's not sorted
isSorted=1; //we suppose that it's sorted
for(i=0;i<ARRAY_LENGTH-1;i++){ //then for each element of the array
if(ARRAY[i]>ARRAY[i+1]){ // if the two elements aren't sorted
isSorted=0; //it means that the array is not sorted
TEMPORARY_ELEMENT=ARRAY[i]; //and we switch these elements using TEMPORARY_ELEMENT
ARRAY[i]=ARRAY[i+1];
ARRAY[i+1]=TEMPORARY_ELEMENT;
}
}
}
for(i=0;i<ARRAY_LENGTH;i++) {
printf("%d ",ARRAY[i]);
MEAN=MEAN+ARRAY[i];
}
MEAN=MEAN/(float)ARRAY_LENGTH;
for(i=0;i<ARRAY_LENGTH;i++)
VARIANCE=VARIANCE+(pow((ARRAY[i]-MEAN),2));
VARIANCE=VARIANCE/(float)ARRAY_LENGTH;
STAND=sqrt(VARIANCE);
printf("\n\n- Mean is: %f\n",MEAN);
printf("- Variance is: %f\n",VARIANCE);
printf("- Standard Deviation is: %f\n",STAND);
}