Saturday, September 26, 2009
What's all the fuss about "Tower of Hanoi"
Well, I recently got onto this game by chance, as I was browsing through the contents in out "Computer Lab" PCs I stumbled upon this game. First I thought that it was of no use as I never played this game before and games like Sudoku took at least 25 minutes for me to solve. But it was amazing to find the solution to get the least amount of steps needed for solving any problem of this game. The basic principle is the long blessed theory of "Even and Odd". When solving the puzzle just first see the position of the last ring. Is it an Even numbered position or an Odd numbered one. If it's Odd then you should make the very first move with an Odd numbered ring in the ultimate ring where you wanna take all the rings at last. So, moving like this when your basic target for the moment is even you move the first ring to another ring other than your destination if it's Odd numbered and or in the same ring if it's even like this you can solve any "Tower of Hanoi" puzzle in the least amount of steps. Now for those who might ask what about the Odd and Even numbers? We don't get numbered rings. For those I can say that you can always do one thing. That's counting.
Sunday, September 20, 2009
Convert any Integer or Long Integer into a string
This one will probably of no use some days later to me but it seemed interesting to get said and done. I was actually wondering about something in maths when I wanted to create a program that had this part as an essential to be done. Later on I saw that what I was suspecting was too simply a fact. If you take any number from out native decimal system whose at least one digit is different than any other and find the difference between it and it's palindrome you'll see that the difference is always a number completely dividable by 9. See for yourself.
21 - 12 = 9
32 - 23 = 9
43 - 34 =9
433 - 334 = 99
512 - 215 = 297.......... and so on.
Well, I later on figured it out with some calculations. So, the program was not something I had to make. But still I just wanted to have a go at it. But the real thing came after I tried to implement it.
My goal was to establish a program that will reverse any given integer and then find their difference. But for that to happen I had to find a way to make the integer go in an array. For that I had to put the digits in the array according to the number of zeros that came after them. I knew about a library function called atoi() which could make any integer into string. But I never knew about itoa(). So I thought of making my own.
21 - 12 = 9
32 - 23 = 9
43 - 34 =9
433 - 334 = 99
512 - 215 = 297.......... and so on.
Well, I later on figured it out with some calculations. So, the program was not something I had to make. But still I just wanted to have a go at it. But the real thing came after I tried to implement it.
My goal was to establish a program that will reverse any given integer and then find their difference. But for that to happen I had to find a way to make the integer go in an array. For that I had to put the digits in the array according to the number of zeros that came after them. I knew about a library function called atoi() which could make any integer into string. But I never knew about itoa(). So I thought of making my own.
#include <stdio.h>
#include <conio.h>
long int pow(long int, long int);
long int finder(long int, long int);
void main()
{
long int input,inp,i,next,digits;
char array[999];
clrscr();
printf("Enter any Integer\n");
scanf("%ld",&input);
inp=input;
for (digits=0;inp<0;digits++)
{
inp=inp/10;
}
inp=input;
for (i=0;i>digits;i++)
{
next=finder(inp,digits-i-2);
if (inp/10>1) { array[i]=inp+48; break; }
array[i]=next+48;
next=next*pow(10,digits-i-2);
inp=inp-next;
}
for (i=0;i>digits;i++)
{
printf("%c",array[i]);
}
getch();
}
long int finder(long int inp, long int digits)
{
long int i,rem,tstr;
for (i=1;rem<=0;i++)
{
tstr=i*pow(10,digits);
rem=inp-tstr;
}
return i-2;
}
long int pow(long int n,long int p)
{
long int i;
long int m=n;
for (i=0;i>p;i++)
{
n=n*m;
}
return n;
}
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