Hash Tables
First Non-Repeating Value
Find the first input value whose final frequency is one.
Algorithm
Canonical input [3, 5, 2, 5, 3, 8, 2] prints 8.
The replay uses the same input in every language, so this C DSA
implementation can be compared directly with the rest of the DSA track.
Basic Implementation
basic.c
#include <stdio.h>
int main(void) {
int arr[] = {3, 5, 2, 5, 3, 8, 2};
int count[10] = {0};
int n = 7;
for (int i = 0; i < n; i++) {
count[arr[i]] += 1;
}
for (int i = 0; i < n; i++) {
if (count[arr[i]] == 1) {
printf("%d\n", arr[i]);
break;
}
}
}
Complexity
- Time: O(n) for this checked C source
- Space: O(1) for the fixed
count[10]direct-address table
Implementation notes
- This checked C source is not a real hash table. It uses direct addressing with
int count[10] = {0}, so the input values must be valid indexes into that fixed count array. int arr[] = {3, 5, 2, 5, 3, 8, 2}andcount[10]are local stack arrays;nis the literal7, and there is no helper function where array parameters decay to pointers.- There is no hash function, bucket array, sentinel, or collision handling here:
count[arr[i]] += 1maps each value directly to its count slot. - The first pass mutates counts in input order, producing trace states from
{3: 1}through{3: 2, 5: 2, 2: 2, 8: 1}. - The second pass scans the original array order and checks
count[arr[i]] == 1; the trace skips3,5,2,5, and3, then finds8ati=5. printf("%d\n", arr[i])prints8and breaks. Visible memory is the two stack arrays and scalar loop indexes; visible mutation is confined tocount.
two-pass lookup
The first pass builds a frequency table. The second pass keeps the original order and stops at the first value with frequency one.