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maximum length bitonic subarray
Krishna Das
on May 23, 2020
#include <stdio.h>
// Function to find length of Longest Bitonic Subarray in an array
int findBitonicSubarray(int A[], int n)
{
// I[i] stores the length of the longest increasing sub-array
// ending at A[i]
int I[n + 1];
I[0] = 1;
for (int i = 1; i <= n; i++) {
I[i] = 1;
if (A[i-1] < A[i])
I[i] = I[i-1] + 1;
}
// D[i] stores the length of the longest decreasing sub-array
// starting with A[i]
int D[n + 1];
D[n] = 1;
for (int i = n - 1; i >= 0; i--) {
D[i] = 1;
if (A[i] > A[i+1])
D[i] = D[i+1] + 1;
}
// consider each element as peak and calculate LBS
int lbs_len = 1;
int beg = 0, end = 0;
for (int i = 0; i <= n; i++)
{
if (lbs_len < I[i] + D[i] - 1)
{
lbs_len = I[i] + D[i] - 1;
beg = i - I[i] + 1;
end = i + D[i] - 1;
}
}
// print longest bitonic sub-array
printf("The length of longest bitonic sub-array is %d\n", lbs_len);
printf("The longest bitonic sub-array is [%d, %d]", beg, end);
return lbs_len;
}
int main(void)
{
int A[] = { 3, 5, 8, 4, 5, 9, 10, 8, 5, 3, 4 };
int n = sizeof(A) / sizeof(A[0]);
findBitonicSubarray(A, n - 1);
return 0;
}
Source: www.techiedelight.com
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