Add Golomb Sequence (fixes #2889) (#2991)

This commit is contained in:
Siddhant Swarup Mallick
2022-04-06 21:32:30 +05:30
committed by GitHub
parent ab544c3b9f
commit 060069cf73
2 changed files with 97 additions and 0 deletions

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/** Author : Siddhant Swarup Mallick
* Github : https://github.com/siddhant2002
*/
/**
* In mathematics, the Golomb sequence is a non-decreasing integer sequence where n-th term is equal to number of times n appears in the sequence.
*/
/**
* Wikipedia Link - https://en.wikipedia.org/wiki/Golomb_sequence
*/
/** Program description - To find the Golomb sequence upto n */
package com.thealgorithms.dynamicprogramming;
public class CountFriendsPairing {
public static boolean countFriendsPairing(int n, int a[]) {
int dp[] = new int[n + 1];
// array of n+1 size is created
dp[0] = 1;
// since 1st index position value is fixed so it's marked as 1
for (int i = 1; i < n; i++) {
dp[i] = 1 + dp[i - dp[dp[i - 1]]];
// formula for ith golomb sequence is dp(i) = 1 + dp(i dp(dp(i - 1)))
}
for (int i = 1; i < n; i++) {
if (a[i - 1] != dp[i]) {
return false;
// checks whether the calculated answer matches with the expected answer
}
}
return true;
// returns true if calculated answer matches with the expected answer
}
}