to choose condition for if-statement - c

I want to make changes to an inventory balance. By simple logic if I input a number > 0 it should add and subtract if the number is < 0 subtract. So far it works fine.
Now to the issue. If the number that user types is less than inventory balance itself the program should set the value of inventory balance to 0.
For example if the invetory balance is 17 and we type number -18 it should be 0 and not -1.
This is my code so far.
printf("Increase or decrease by: ");
scanf("%d", &n);
if(n >= 0){
a[i].inventory = a[i].inventory+n;
}else{
a[i].inventory = a[i].inventory+n; // +- = -
if(n < a[i].inventory){
a[i].inventory = a[i].inventory- a[i].inventory;
}
I tried adding the last if-statement, but considering the "bad" logic of if condition, it does not work.
bad logic: if inventory is 17 and I want to subtract 2, it will always be less than a[i].inventory and it will jump over else and run the last if-statement.

You are over-complicating a simple task.
a[i].inventory += n; /* n can be negative too. */
if (a[i].inventory < 0)
a[i].inventory = 0;

Related

Sphere Online Judge Issues (Prime Number Generator)

Ok, so I enjoy using SPOJ to practice programming and developing algorithms. I always have issues with the questions though. A lot of times, I will get a "wrong answer" message when clearly my code answers the questions properly. If someone could tell me if there is anything wrong or why SPOJ would be telling me my answer was wrong that would be awesome! Here is the problem word-for-word:
Prime Number Generator
Peter wants to generate some prime numbers for his cryptosystem. Help him! Your task is to generate all prime numbers between two given numbers!
Input
The input begins with the number t of test cases in a single line (t<=10). In each of the next t lines there are two numbers m and n (1 <= m <= n <= 1000000000, n-m<=100000) separated by a space.
Output
For every test case print all prime numbers p such that m <= p <= n, one number per line, test cases separated by an empty line.
My code:
int n;
scanf("%d", &n);
if(n > 10){ return 0; }
n = n*2;
int arr[n];
for(int i = 0; i < n; i++){ scanf("%d", &arr[i]); }
for(int i = 0; i < n; i += 2){
if(arr[i] >= 1 && arr[i] <= arr[i+1] && arr[i+1] <= 1000000000 && arr[i+1]-arr[i] <= 100000){
for(int j = arr[i]; j <= arr[i+1]; j++){
if(j % 2 == 1 || j == 2){
printf("%d\n", j);
}
}
printf("\n");
}
}
return 0;
INPUT:
2
7 11
2 9
OUTPUT:
7
9
11
2
3
5
7
9
A lot of times, I will get a "wrong answer" message when clearly my code answers the questions properly.
This is not one of those cases as evidenced by the fact that, despite the contrary, your code seems to think that 9 is a prime. The line:
if(j % 2 == 1 || j == 2)
combined with the fact that you appear to be printing all odd numbers (and two), is an indication that your prime check is incorrect.
Where you should probably start is with a simple prime check function such as:
int isPrime(int num) {
int chk = 2;
while (chk * chk <= num)
if ((num % chk) == 0)
return 0;
++chk;
}
return 1;
}
Once you have it working, then worry about performance (two of my favourite mantras are "Wrong is the least optimised state" and "Get it working first, then get it working fast").
The things you can look into for optimisations include, but are not limited to:
Eratosthenes sieve where, provided the range of primes isn't too large, it can greatly improve speed by not having to do a lot of calculations for each prime test; and
Using the fact that all primes other than two and three are of the form 6n±1, effectively tripling the speed of the isPrime function (see here for an explanation).
For that second bullet point, you can use:
int isPrime(unsigned int num) {
// Special cases for 0-3.
if (num < 2) return 0;
if (num < 4) return 1;
int chk = 5, add = 2; // prime generator, 6n +/- 1.
while (chk * chk <= num) // check every candidate.
if ((num % chk) == 0) // check if composite.
return 0;
chk += add; // next candidate.
add = 6 - add; // alternate +2, +4.
}
return 1; // no factors, must be prime.
}

Find out max divisor of a positive integer

I need to find the biggest divisor of a positive integer and output it. Divisor should not be 1 or be equal to the integer itself. If it's a prime number the output should be "0". I have this code so far. However it doesn't work. It only works when I use "break" instead of "return 0" statement, but according to the task I should not use break :( How can I fix it? Thnx
#include <stdio.h>
int main() {
int input, maxDiv;
int div = 2;
scanf("%d", &input);
for ( ; div <= input/2; div += 1 ) {
if ( input % div == 0 ) {
maxDiv = input / div;
return 0;
} else {
maxDiv = 0;
}
}
printf("%d\n", maxDiv);
return 0;
}
You can rewrite it this way
int main(){
int input, maxDiv = 0;
int div = 2;
scanf("%d", &input);
for(; !maxDiv; div++)
if(!(input%div))
maxDiv = input/div;
printf("%d\n", ( maxDiv == 1 || input < 0 ? 0 : maxDiv ) );
return 0;
}
It is an infinite loop that will exit as soon as maxDiv != 0. The complexity is O(sqrt (n)) as there is always a divisor of n less than or equal to sqrt(n), so the code is bound to exit (even if input is negative).
I forgot, you have to handle the case where input is zero.
Maybe you can declare a flag?
#include <stdio.h>
int main() {
int input, maxDiv;
int div = 2;
char found = 0;
scanf("%d", &input);
for ( ; div <= input/2 && !found ; div += 1 ) {
if ( input % div == 0 ) {
maxDiv = input / div;
found = 1;
} else {
maxDiv = 0;
}
}
printf("%d\n", maxDiv);
return 0;
}
You can stop the loop when you reach sqrt(input)... it's not that difficult to find a perfectly good integer sqrt function.
There's not a lot of point dividing by all the even numbers after 2. In fact there's not a lot of point dividing by anything except the primes. It's not hard to find the primes up to sqrt(INT_MAX) (46340, for 32-bit integer)... there are tables of primes freely available if you don't want to run a quick sieve to generate same.
And the loop...
maxdiv = 0 ;
i = 0 ;
sq = isqrt(input) ;
while ((maxdiv == 0) && (prime[i] < sq))
{
if ((input % prime[i]) == 0)
maxdiv = input / prime[i] ;
i += 1 ;
} ;
assuming a suitable integer sqrt function and a table of primes... as discussed.
Since you are looking for the largest divisor, is there a reason you're not looping backward to 2? If there isn't, then there should be no need for a break statement or any special logic to exit the loop as you should keep looping until div is greater than input / 2, testing every value until you find the largest divisor.
maxDiv = -1;
for (div = input / 2;
div >= 2 && maxDiv == -1;
--div)
{
if (input % div == 0)
maxDiv = div;
}
maxDiv += (maxDiv == -1);
printf ("%d\n", maxDiv);
I added the extra condition of maxDiv being -1, which is like adding a conditional break statement. If it is still -1 by the end of the loop, then it becomes 0 because maxDiv += 1 is like writing maxDiv = -1 + 1, which is 0.
Without any jump statement such as break, this sort of test is what you must do.
Also, regarding your code, if I input 40, the if statement will be triggered when div is 2, and the program will end. If the return 0 is changed to a break, maxDiv will be 2, not 20. Looping backward will find 20 since 40/2=20, and 40%20==0.
Let us denote D to the max divisor of a given composite number N > 1.
Then, obviously, the number d = N / D is the min non-trivial divisor of N.
If d would not a primer number, then d would have a non-trivial divisor p < d.
By transitivity, this implies that p is a divisor of N, but this fact would contradict the fact that d is the min divisor of N, since p < d.
So, d must be a prime number.
In particular, it is enouth to search over those numbers which are less than sqrt(N), since, if p is a prime number greater than sqrt(N) which divies N, then N / p <= sqrt(N) (if not, *p * (N / p) > sqrt(N)sqrt(N) == N, wich is absurd).
This shows that it's enough to do the search the least divisor d of N just within the range of primer numbers from 2 to sqrt(N).
For efficiency, the value sqrt(N) must be computed just once before the loop.
Moreover, it is enough a rough approximation of sqrt(N), so we can write:
#include <math.h>
#include <stdio.h>
int main(void)
{
int N;
scanf("%d",&N);
// First, we discard the case in that N is trivial
// 1 is not prime, but indivisible.
// Change this return if your want.
if (N == 1)
return 0;
// Secondly, we discard the case in that N is even.
if (N % 2 == 0)
return N / 2;
// Now, the least prime divisor of N is odd.
// So, we increment the counter by 2 in the loop, by starting in 3.
float sqrtN = fsqrt(N); // square root of N in float precision.
for(d = 3; d <= sqrtN; d += 2)
if (N % d == 0)
return N/d;
// If the loop has reached its end normally,
// it means that N is prime.
return 0;
}
I think that the problem is not well stated, since I consider that a better flag to signalize that N is prime would be a returned value of 1.
There are more efficient algorithms to determine primality, but they are beyond the scope of the present question.

Check to see if integer is one in which each digit is either a zero or a one

What is the efficient way in C program to check if integer is one in which each digit is either a zero or a one ?
example 100 // is correct as it contains only 0 or 1
701 // is wrong
I tried for
int containsZero(int num) {
if(num == 0)
return 0;
if(num < 0)
num = -num;
while(num > 0) {
if(num % 10 == 0)
return 0;
num /= 10;
}
return -1;
}
int containsOne(int num) {
if(num == 0)
return 0;
if(num < 0)
num = -num;
while(num > 0) {
if(num % 10 == 1)
return 0;
num /= 10;
}
return -1;
}
You can peel of every digit and check it. This takes O(n) operations.
int input;
while (input != 0)
{
int digit = input %10; //get last digit using modulo
input = input / 10; //removes last digit using div
if (digit != 0 && digit != 1)
{
return FALSE;
}
}
return TRUE;
Well, in the worst case you have to check every digit, so you cannot have an algorithm better than O(d), where d is the number of digits.
The straight-forward approach satisfies this:
int n = 701;
while ( n != 0 && (n % 10) <= 1 )
{
n /= 10;
}
if ( (n % 10) > 1 )
{
printf("Bad number\n");
}
else
{
printf("Good number\n");
}
This assumes positive numbers though. To put it into a general function:
int tester(int n)
{
if ( n < 0 )
{
n = -n;
}
while ( n != 0 && (n % 10) <= 1 )
{
n /= 10;
}
return ( (n % 10) <= 1 );
}
Demo: http://ideone.com/jWyLdl
What are we doing here? We check if the last decimal digit (n % 10) is either 0 or 1, then cut of the last digit by dividing by ten until the number is 0.
Now of course there is also another approach.
If you are guaranteed to have e.g. always 32bit integers, a look-up table isn't that large. I think it may be around 2048 entries, so really not that big.
You basically list all valid numbers:
0
1
10
11
100
101
110
111
...
Now you simply search through the list (a binary search is possible, if the list is sorted!). The complexity with linear search would be, of course, worse than the approach above. I suspect binary search beeing still worse in actual performance, as you need to jump a lot in memory rather than just operating on one number.
Anything fancy for such a small problem is most probably overkill.
The best solution I can think of, without using strings:
while(n)
{
x = n%10;
if(x>1)
return -1;
n /= 10;
}
return 0;
Preamble
Good straightforward algorithms shown in other answer are O(n), being n the number for the digits. Since n is small (even using 64bit integer we won't have more than 20 digits), implementing a "better" algorithm should be pondered, and meaning of "efficient" argued; given O(n) algorithms can be considered efficient.
"Solution"
We can think about sparse array since among 4 billions of numbers, only 2^9 (two symbols, 9 "positions") have the wanted property. I felt that some kind of pattern should emerge from bits, and so there could be a solution exploiting this. So, I've dumped all decimal numbers containing only 0 and 1 in hex, noticed a pattern and implemented the simplest code exploiting it — further improvements are surely possible, e.g. the "table" can be halved considering that if x is even and has the property, then x+1 has the property too.
The check is only
bool only01(uint32_t n)
{
uint32_t i = n & 0xff;
uint32_t r = n >> 8;
return map01[i][0] == r || map01[i][1] == r;
}
The full table (map01) and the test code are available at this gist.
Timing
A run of the test ("search" for numbers having the property between 0 and 2 billions — no reason to go beyond) with my solution, using time and redirecting output to /dev/null:
real 0m4.031s
user 0m3.948s
A run of the same test with another solution, picked from another answer:
real 0m15.530s
user 0m15.221s
You work with base 10, so, each time check the % 10:
int justOnesAndZeros(int num) {
while ( num )
{
if ( ( num % 10 != 1 ) && ( num % 10 != 0 ) )
{
return FALSE;
}
num /= 10;
}
return TRUE;
}

Sum of Digits using recursion in C

For our activity today, we were tasked to make using recursion with the sum of digits. I already made this program:
int main()
{
int num = 0, sum;
printf("Enter an integer: ");
scanf("%d",&num);
//counter=1;
for ( sum=0; num>0;)
{
sum = sum + num % 10;
num = num /10;
}
printf("Sum = %d", sum);
getch();
return 0;
}
Our teacher added "Input and output must be done in the main() function." Am doing the right thing? Or am I missing something in my code?
To do recursion, create a function that recurses rather than using a for loop.
int SumDigits(int i) {
if (i < 10) {
return i;
}
else {
return i%10 + SumDigits(i/10);
}
}
scanf("%d", &i);
printf("%d\n", SumDigits(i));
What you have there is an iterative solution, not a recursive one.
Recursion involves defining the problems in terms of a simpler version of the problem, all the time working towards a fixed end point.
The fixed end point in this case is any number less than 10, for which the value is that digit.
The transition to a simpler case (for numbers greater than 9) is simply to add the least significant digit to the result of the number divided by ten (integer division).
Since it's classwork, pseudo-code only I'm afraid.
def digitSum (n):
if n < 10:
return n
return (n % 10) + digitSum (n / 10)
If you follow that for the number 314, you'll see what happens.
At recursion level one, n == 314 so it calculates 314 % 10 to get 4 and calls digitSum(31).
At recursion level two, n == 31 so it calculates 31 % 10 to get 1 and calls digitSum(3).
At recursion level three, n == 3 so it just returns 3
Back up to level two, that's added to the remembered 1 and returned as 4.
Back up to level one, that's added to the remembered 4 and returned as 8.
Hence you end up with the digit sum of 8 for the number 314.

Having trouble with a Collatz Conjecture test in C

I am trying to create a code that will take the number 2 to 100, and test each for the collatz conjecture.
The goal is that for each number, if it is even, divide it by two, and if it is odd, then multiply it by 3 and add 1.
It prints each step, and each number should stop testing if it reaches 1. Why doesn't it work?
#include <stdio.h>
int main()
{
int number, position;
position == 2;
number == 2;
while (position <= 100)
{
while (number != 1)
{
if (number % 2 == 0)
{
number = number/2;
printf("%d\n", number);
}
else if (number % 2 != 0)
{
number = number*3;
number = number + 1;
printf("%d\n", number);
}
}
position = position + 1;
number = position;
}
}
It prints recurring Os
Fix the == vs =:
position = 2;
number = 2;
Also, the else if is unnecessary. The opposite of even is odd, so a plain else will suffice :-)
You have set position and number with a double equal == (Comparision Operator) instead of using single equal = (Assignment Operator) so that the algorithm is comparing them instead of assigning a value.
The assignment should look like this:
position = 2;
number = 2;
Also you can do it when you first define them:
int number=2, position=2;
Apart from that the code is correct, the only thing to highlight is that you don´t need to use else if because it can just be even or odd so a single else would be enough.
Hope I´ve helped :-)

Resources