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+/* example from http://barnyard.syr.edu/quickies/hanoi.c */
+
+/* hanoi.c: solves the tower of hanoi problem. (Programming exercise.) */
+/* By Terry R. McConnell (12/2/97) */
+/* Compile: cc -o hanoi hanoi.c */
+
+/* This program does no error checking. But then, if it's right,
+ it's right ... right ? */
+
+
+/* The original towers of hanoi problem seems to have been originally posed
+ by one M. Claus in 1883. There is a popular legend that goes along with
+ it that has been often repeated and paraphrased. It goes something like this:
+ In the great temple at Benares there are 3 golden spikes. On one of them,
+ God placed 64 disks increasing in size from bottom to top, at the beginning
+ of time. Since then, and to this day, the priest on duty constantly transfers
+ disks, one at a time, in such a way that no larger disk is ever put on top
+ of a smaller one. When the disks have been transferred entirely to another
+ spike the Universe will come to an end in a large thunderclap.
+
+ This paraphrases the original legend due to DeParville, La Nature, Paris 1884,
+ Part I, 285-286. For this and further information see: Mathematical
+ Recreations & Essays, W.W. Rouse Ball, MacMillan, NewYork, 11th Ed. 1967,
+ 303-305.
+ *
+ *
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+
+#define TRUE 1
+#define FALSE 0
+
+/* This is the number of "disks" on tower A initially. Taken to be 64 in the
+ * legend. The number of moves required, in general, is 2^N - 1. For N = 64,
+ * this is 18,446,744,073,709,551,615 */
+#define N 4
+
+/* These are the three towers. For example if the state of A is 0,1,3,4, that
+ * means that there are three discs on A of sizes 1, 3, and 4. (Think of right
+ * as being the "down" direction.) */
+int A[N], B[N], C[N];
+
+void Hanoi(int,int*,int*,int*);
+
+/* Print the current configuration of A, B, and C to the screen */
+void PrintAll()
+{
+ int i;
+
+ printf("A: ");
+ for(i=0;i<N;i++)printf(" %d ",A[i]);
+ printf("\n");
+
+ printf("B: ");
+ for(i=0;i<N;i++)printf(" %d ",B[i]);
+ printf("\n");
+
+ printf("C: ");
+ for(i=0;i<N;i++)printf(" %d ",C[i]);
+ printf("\n");
+ printf("------------------------------------------\n");
+ return;
+}
+
+/* Move the leftmost nonzero element of source to dest, leave behind 0. */
+/* Returns the value moved (not used.) */
+int Move(int *source, int *dest)
+{
+ int i = 0, j = 0;
+
+ while (i<N && (source[i])==0) i++;
+ while (j<N && (dest[j])==0) j++;
+
+ dest[j-1] = source[i];
+ source[i] = 0;
+ PrintAll(); /* Print configuration after each move. */
+ return dest[j-1];
+}
+
+
+/* Moves first n nonzero numbers from source to dest using the rules of Hanoi.
+ Calls itself recursively.
+ */
+void Hanoi(int n,int *source, int *dest, int *spare)
+{
+ int i;
+ if(n==1){
+ Move(source,dest);
+ return;
+ }
+
+ Hanoi(n-1,source,spare,dest);
+ Move(source,dest);
+ Hanoi(n-1,spare,dest,source);
+ return;
+}
+
+int main()
+{
+ int i;
+
+ /* initialize the towers */
+ for(i=0;i<N;i++)A[i]=i+1;
+ for(i=0;i<N;i++)B[i]=0;
+ for(i=0;i<N;i++)C[i]=0;
+
+ printf("Solution of Tower of Hanoi Problem with %d Disks\n\n",N);
+
+ /* Print the starting state */
+ printf("Starting state:\n");
+ PrintAll();
+ printf("\n\nSubsequent states:\n\n");
+
+ /* Do it! Use A = Source, B = Destination, C = Spare */
+ Hanoi(N,A,B,C);
+
+ return 0;
+}
+
+/* vim: set expandtab ts=4 sw=3 sts=3 tw=80 :*/