Sum
| Time Limit: 1000MS | Memory Limit: 30000K | |
| Total Submissions: 10160 | Accepted: 6674 |
Description
Consider the natural numbers from 1 to N. By associating to each number a sign (+ or -) and calculating the value of this expression we obtain a sum S. The problem is to determine for a given sum S the minimum number N for which we can obtain S by associating
signs for all numbers between 1 to N.
For a given S, find out the minimum value N in order to obtain S according to the conditions of the problem.
Input
The only line contains in the first line a positive integer S (0< S <= 100000) which represents the sum to be obtained.
Output
The output will contain the minimum number N for which the sum S can be obtained.
Sample Input
12
Sample Output
7
Hint
The sum 12 can be obtained from at least 7 terms in the following way: 12 = -1+2+3+4+5+6-7.
#include <stdio.h>
int main()
{
int s, sum, i;
while(scanf("%d", &s) == 1){
sum = i = 0;
while(sum < s || (sum - s) & 1)
sum += ++i;
printf("%d\n", i);
}
return 0;
}