/* Name: Garrett Haldrup
lab9.c
Problem: Contains multiple functions that focus on nested loops and 2D arrays. 
Certification of Authenticity:
I certify that this assignment is entirely my own work.
*/

#include <stdio.h>

void triangle();
void multiplicationTable();
void fractionalSequence(int n);
void twoDArrayMaxMin();
void triangleN(int n);
void multiplicationTableN(int n);


int main() {
  
  triangle();
  multiplicationTable();
  fractionalSequence(15);
  twoDArrayMaxMin();
  triangleN(15);
  multiplicationTableN(15);

  return 0;
}

void triangle() {
  int n = 10;
  char symbol = '*';

  printf("\nThis program will show a trangle with width of n = 10 and symbol '*'.\n");
  
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < n; j++) {
      if (j >= n - (i + 1)) {
        printf("%c ", symbol);
      } else {
        printf("  ");
      }
    }
    printf("\n");
  }
}

void multiplicationTable() {
  int n;

  printf("\nThis program will take your input and make a n x n multiplication table.\n");

  printf("Enter n for a n x n multiplcaiton table: ");
  scanf("%d", &n);

  for (int i = 1; i <= n; i++) {
    for (int j = 1; j <= n; j++) {
      printf("%d\t", i * j);
    }
    printf("\n");
  }
}

void fractionalSequence(int n) {
  long long int product = 1;

  printf("\nThis program will show the a(n) = n! from a(1) => a(%d)\n", n);

  printf("{");
  for (int i = 1; i <= n; i++) {
    product *= i;
    if (i == n) {
      printf("%lld}\n", product);
    } else {
      printf("%lld, ", product);
    }
  }
}

void twoDArrayMaxMin() {
  int NUM_ROWS, NUM_COLUMN;
  int max, min, maxI, maxJ, minI, minJ;

  printf("\nThis program will take your input for the size of a 2D array and values to fill the array then output the max and min of the 2D array\n");

  printf("Enter number of rows: ");
  scanf("%d", &NUM_ROWS);

  printf("Enter number of columns: ");
  scanf("%d", &NUM_COLUMN);

  int nums[NUM_ROWS][NUM_COLUMN];

  for (int i = 0; i < NUM_ROWS; i++) {
    for (int j = 0; j < NUM_COLUMN; j++) {
      printf("Enter value for nums[%d][%d]: ", i, j);
      scanf("%d", &nums[i][j]);
      if (!i && !j) {
        max = nums[i][j];
        maxI = i;
        maxJ = j;
        min = nums[i][j];
        minI = i;
        minJ = j;
      } else if (nums[i][j] < min) {
        min = nums[i][j];
        minI = i;
        minJ = j;
      } else if (nums[i][j] > max) {
        max = nums[i][j];
        maxI = i;
        maxJ = j;
      }
    }
  }
  printf("The max of nums is at nums[%d][%d] is: %d\n", maxI, maxJ, max);
  printf("The min of nums is at nums[%d][%d] is: %d\n", minI, minJ, min);
}

void triangleN(int n) {
  char symbol = '*';
  int count = 1;

  printf("\nThis program will show a trangle with width of n = %d and symbol '*'.\n", n);
  
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < n; j++) {
      if (j >= n - count) {
        printf("%c ", symbol);
      } else {
        printf("  ");
      }
    }
    printf("\n");
    count++;
  }
}

void multiplicationTableN(int n) {
  printf("\nThis program will make a %d x %d multiplication table.\n", n, n);
  
  for (int i = 1; i <= n; i++) {
    for (int j = 1; j <= n; j++) {
      printf("%d\t", i * j);
    }
    printf("\n");
  }
}