Cs50 Tideman Solution

The lock_pairs function builds the final graph by setting locked[i][j] = true .

: Loop through all candidates. If the current loser points to another candidate k (i.e., locked[loser][k] == true ), recursively call has_cycle(winner, k) .

}

Once all votes are cast, the add_pairs function iterates through the preferences matrix. For every pair of candidates $(i, j)$: Cs50 Tideman Solution

// Eliminate the candidate(s) with the fewest votes int eliminated_candidates = 0; while (eliminated_candidates < num_candidates - 1) { // Find the candidate with the fewest votes int min_vote_index = -1; for (int i = 0; i < num_candidates; i++) { if (candidates[i].votes == min_votes) { min_vote_index = i; break; } }

For each candidate, check if any other candidate points to them. If not, they are the source of the graph and the winner.

# Eliminate the candidate(s) with the fewest votes eliminated_candidates = [] while len(min_vote_candidates) > 0: eliminated_candidate = min_vote_candidates[0] eliminated_candidates.append(eliminated_candidate) candidates.remove(eliminated_candidate) The lock_pairs function builds the final graph by

CS50’s Tideman is widely considered one of the most challenging coding problems in introductory computer science. Part of Harvard University's Introduction to Computer Science (CS50x), this problem requires you to implement a ranked-choice voting system that guarantees a Condorcet winner using the Tideman method, also known as Ranked Pairs.

// Find the new minimum votes min_votes = MAX_VOTERS; for (int i = 0; i < num_candidates; i++) { if (candidates[i].votes >= 0 && candidates[i].

:param candidates: List of candidate names :param voter_preferences: List of voter preferences, where each preference is a list of candidate names in ranked order :return: The winner of the election and the ranked order of the candidates """ # Initialize win counts for each candidate win_counts = {candidate: 0 for candidate in candidates} } Once all votes are cast, the add_pairs

Compare preferences[i][j] with preferences[j][i] . If i has more votes than j , add a new pair to the pairs array with i as the winner and j as the loser. Increment the global pair_count . Ignore ties. 4. sort_pairs

The program uses a linked list to store the rankings for each voter and a matrix to store the pairwise comparisons. The program then uses a loop to iterate through the candidates, determining the winner of each matchup and updating the win counts.

Use nested loops to look at the current voter's ranks .