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@maddox05
Created August 26, 2023 16:38
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Tideman Completion
#include <cs50.h>
#include <stdio.h>
#include <string.h>
// Max number of candidates
#define MAX 9
// preferences[i][j] is number of voters who prefer i over j
int preferences[MAX][MAX];
// locked[i][j] means i is locked in over j
bool locked[MAX][MAX];
// Each pair has a winner, loser
typedef struct
{
int winner;
int loser;
} pair;
// Array of candidates
string candidates[MAX];
pair pairs[MAX * (MAX - 1) / 2];
int pair_count = 0;
int candidate_count = 0;
// Function prototypes
bool vote(int rank, string name, int ranks[]);
void record_preferences(int ranks[]);
void add_pairs(void);
void sort_pairs(void);
void lock_pairs(void);
void print_winner(void);
int main(int argc, string argv[])
{
// Check for invalid usage
if (argc < 2)
{
printf("Usage: tideman [candidate ...]\n");
return 1;
}
// Populate array of candidates
candidate_count = argc - 1;
if (candidate_count > MAX)
{
printf("Maximum number of candidates is %i\n", MAX);
return 2;
}
for (int i = 0; i < candidate_count; i++)
{
candidates[i] = argv[i + 1];
}
// Clear graph of locked in pairs
for (int i = 0; i < candidate_count; i++)
{
for (int j = 0; j < candidate_count; j++)
{
locked[i][j] = false;
}
}
pair_count = 0;
int voter_count = get_int("Number of voters: ");
// Query for votes
for (int i = 0; i < voter_count; i++)
{
// ranks[i] is voter's ith preference
int ranks[candidate_count];
// Query for each rank
for (int j = 0; j < candidate_count; j++)
{
string name = get_string("Rank %i: ", j + 1);
if (!vote(j, name, ranks))
{
printf("Invalid vote.\n");
return 3;
}
}
record_preferences(ranks);
printf("\n");
}
add_pairs();
sort_pairs();
lock_pairs();
print_winner();
return 0;
}
// Update ranks given a new vote
bool vote(int rank, string name, int ranks[])
{
for (int i = 0; i < candidate_count; i++)
{
if (strcmp(name, candidates[i]) == 0)
{
ranks[rank] = i;
return true;
}
}
return false;
}
// Update preferences given one voter's ranks
void record_preferences(int ranks[])
{
// preferences[i][j] is number of voters who prefer i over j
int count = 1;
for (int i = 0; i < candidate_count - 1; i++)
{
for (int j = count; j < candidate_count; j++)
{
preferences[ranks[i]][ranks[j]] = (preferences[ranks[i]][ranks[j]] + 1);
// printf("Adds %i ")
}
count = count + 1;
}
return;
}
// Record pairs of candidates where one is preferred over the other
void add_pairs(void)
{
// use pair pairs
// update global pair count
for (int i = 0; i < candidate_count; i++)
{
for (int j = 0; j < candidate_count; j++)
{
if (preferences[i][j] > preferences[j][i])
{
pairs[pair_count].winner = i;
pairs[pair_count].loser = j;
// printf("Pair winner: %i Pair Loser %i\n",pairs[pair_count].winner, pairs[pair_count].loser);
pair_count = pair_count + 1;
}
}
}
return;
}
// Sort pairs in decreasing order by strength of victory
void sort_pairs(void)
{
// strongest victory to weakest
// puts win difference values into normal array WORKS MAYBE
// printf("There are %i pairs\n", pair_count);
int winamt[pair_count];
for (int i = 0; i < pair_count; i++)
{
winamt[i] = (preferences[pairs[i].winner][pairs[i].loser] - preferences[pairs[i].loser][pairs[i].winner]);
// printf("winamt is currently: %i\n", winamt[i]);
}
// sorts array
int temp = 0;
int count = 0;
for (int j = pair_count - 1; j > 0; j--)
{
bool sorted = true;
for (int k = pair_count - 1; k > count; k--)
{
if (winamt[k] > winamt[k - 1])
{
temp = winamt[k - 1];
winamt[k - 1] = winamt[k];
winamt[k] = temp;
sorted = false;
}
}
count = count + 1;
if (sorted == true)
{
// printf("was sorted early\n");
break;
}
}
// printf("Sorted array is: ");
for (int h = 0; h < pair_count; h++)
{
// printf("%i",winamt[h]);
break;
}
// printf("\n");
// puts back into pairs
for (int m = 0; m < pair_count; m++)
{
for (int n = m; n < pair_count; n++)
{
if (winamt[m] == preferences[pairs[n].winner][pairs[n].loser] - preferences[pairs[n].loser][pairs[n].winner])
{
temp = pairs[m].winner;
pairs[m].winner = pairs[n].winner;
pairs[n].winner = temp;
temp = pairs[m].loser;
pairs[m].loser = pairs[n].loser;
pairs[n].loser = temp;
}
}
}
return;
}
// is last pair true (locked), if so is me the winner
bool can_lock(int original_winner, int loser, int winner, int recursion_index, int original_loser)
{
int new_winner = 0;
int new_loser = 0;
int counter = 0;
if (original_winner == loser)
{
return false;
}
for (int i = recursion_index; i < candidate_count; i++)
{
// i goes through colums
if (locked[loser][i] == true)
{
new_winner = loser; // who just won
new_loser = i; // who just lost
if (!can_lock(original_winner, new_loser, new_winner, counter, original_loser))
{
// if rodrick loses but never wins, travel back to alice to see if she beats anyone else who also wins.
return false;
}
}
}
// if loser ever wins // then check next loser if they win
// rodrick does not win
return true;
}
// Lock pairs into the candidate graph in order, without creating cycles
void lock_pairs(void)
{
// goes thorugh all pairs
for (int pair_index = 0; pair_index < pair_count; pair_index++)
{
if (can_lock(pairs[pair_index].winner, pairs[pair_index].loser, pairs[pair_index].winner, 0, pairs[pair_index].loser))
{
locked[pairs[pair_index].winner][pairs[pair_index].loser] = true;
}
}
// debug stuff
for (int j = 0; j < candidate_count; j++)
{
printf("%i ", j);
for (int k = 0; k < candidate_count; k++)
{
printf("%i", locked[j][k]);
}
printf("\n ");
}
}
// Print the winner of the election
void print_winner(void)
{
bool check = false;
for (int i = 0; i < candidate_count; i++)
{
check = false;
for (int j = 0; j < candidate_count; j++)
{
if (locked[j][i] == true)
{
check = true;
}
}
if (check == false)
{
printf("%s\n", candidates[i]);
return;
}
}
}
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