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56 changes: 56 additions & 0 deletions src/algorithms_data_structures/searching/Jump Search
Original file line number Diff line number Diff line change
@@ -0,0 +1,56 @@
// C++ program to implement Jump Search

#include <bits/stdc++.h>
using namespace std;

int jumpSearch(int arr[], int x, int n)
{
// Finding block size to be jumped
int step = sqrt(n);

// Finding the block where element is
// present (if it is present)
int prev = 0;
while (arr[min(step, n)-1] < x)
{
prev = step;
step += sqrt(n);
if (prev >= n)
return -1;
}

// Doing a linear search for x in block
// beginning with prev.
while (arr[prev] < x)
{
prev++;

// If we reached next block or end of
// array, element is not present.
if (prev == min(step, n))
return -1;
}
// If element is found
if (arr[prev] == x)
return prev;

return -1;
}

// Driver program to test function
int main()
{
int arr[] = { 0, 1, 1, 2, 3, 5, 8, 13, 21,
34, 55, 89, 144, 233, 377, 610 };
int x = 55;
int n = sizeof(arr) / sizeof(arr[0]);

// Find the index of 'x' using Jump Search
int index = jumpSearch(arr, x, n);

// Print the index where 'x' is located
cout << "\nNumber " << x << " is at index " << index;
return 0;
}

// Contributed by Ayush
25 changes: 25 additions & 0 deletions src/patterns/Full Pyramid of Numbers
Original file line number Diff line number Diff line change
@@ -0,0 +1,25 @@
#include <stdio.h>
int main() {
int i, space, rows, k = 0, count = 0, count1 = 0;
printf("Enter the number of rows: ");
scanf("%d", &rows);
for (i = 1; i <= rows; ++i) {
for (space = 1; space <= rows - i; ++space) {
printf(" ");
++count;
}
while (k != 2 * i - 1) {
if (count <= rows - 1) {
printf("%d ", i + k);
++count;
} else {
++count1;
printf("%d ", (i + k - 2 * count1));
}
++k;
}
count1 = count = k = 0;
printf("\n");
}
return 0;
}