#include <stdio.h>
#include <stdlib.h>

void init_things(int n, int weight[n], int profit[n]) 
{
	int i = 0;
	
	for (i = 0; i < n; i++)	{
		weight[i] = i;
		profit[i] = n-i;
	}
}

void print_things(int n, int weight[n], int profit[n]) 
{
	int i = 0;
	printf("Weights\n");	
	for (i = 0; i < n; i++)	{
	  printf("%2d ", weight[i]);
	}
	printf("\n");

	printf("Profits\n");	
	for (i = 0; i < n; i++)	{
	  printf("%2d ", profit[i]);
	}
	printf("\n");
}

int print_table(int n, int c, int total[n][c], int use[n][c])
{
  int i, j;

  printf("Total Profit\n");
  for (j = 0; j < c; j++) {
	for (i = 0; i < n; i++) {
	  printf("%2d ",total[i][j]);
	}
	printf("\n");
  }

  printf("Flags\n");
  for (j = 0; j < c; j++) {
	for (i = 0; i < n; i++) {
	  printf("%2d ",use[i][j]);
	}
	printf("\n");
  }
}


int solver(int n, int c, int weight[n], int profit[n], 
		   int total[n][c], int use[n][c])
{
  int i, j;

/* Max profit using thing 0, if it fits */
  for (j = 0; j < c; j++) {
	if (weight[0] > j) {
	  total[0][j] = 0;
	  use[0][j] = 0;
	} else {
	  total[0][j] = profit[0];
	  use[0][j] = 1;
	}
  }

  for (i = 1; i < n; i++) {
	for (j = 0; j < c; j++) {
	  if ( (j<weight[i]) || 
		   (total[i-1][j] >= total[i-1][j-weight[i]] + profit[i])) {
		total[i][j] = total[i-1][j];
		use[i][j] = 0;
	  } else {
		total[i][j] = total[i-1][j-weight[i]] + profit[i];
		use[i][j] = 1;
	  }
	}
  }
}

int main(int argc, char *argv[]) 
	 {
	int i, n, c;
	int *weights, *profits;
	int (*table)[c], (*flags)[c];

	if (argc <= 2) {
		fprintf(stdout, "usage %s n c\n", argv[0]);
		exit(1);
	}
	n = atoi(argv[1]);			/* Number of things */
	c = atoi(argv[2]);			/* Capacity of knapsack */

	if ((n < 0) || (c < 0)) {
	  fprintf(stdout, "usage %s n c - where n and c >= 0\n", argv[0]);
		exit(1);
	}
	
	weights = malloc(sizeof(int [n]));
	profits = malloc(sizeof(int [n]));
	init_things(n, weights, profits);
	print_things(n, weights, profits);
	table = malloc(sizeof (int [n][c]));
	flags = malloc(sizeof (int [n][c]));
	solver(n, c, weights, profits, table, flags);
	print_table(n,c,table,flags);
}