The ? 1 ? 2 ? ... ? n = k problem
The problem
Given the following formula, one can set operators '+' or '-' instead of each '?', in order to obtain a given k
? 1 ? 2 ? ... ? n = k
For example: to obtain k = 12 , the expression to be used will be:
- 1 + 2 + 3 + 4 + 5 + 6 - 7 = 12
with n = 7
The Input
The first line is the number of test cases, followed by a blank line.
Each test case of the input contains integer k (0<=|k|<=1000000000).
Each test case will be separated by a single line.
The Output
For each test case, your program should print the minimal possible n (1<=n) to obtain k with the above formula.
Print a blank line between the outputs for two consecutive test cases.
Sample Input
2
12
-3646397
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
int main()
{
int T;
scanf("%d",&T);
long long int n;
while(T--)
{
long long int sum = 0;
scanf("%lld",&n);
if(n<0)
{
n = -n;
}
int ii = 0;
for(int i=1;;i++)
{
sum += i;
if(sum >= n)
{
ii = i;
break;
}
}
if((sum - n)%2 == 0)
{
if(T>0)
{
printf("%d\n\n",ii);
}
else
{
printf("%d\n",ii);
}
continue;
}
for(int j=ii+1;;j++)
{
sum += j;
if((sum-n)%2 == 0)
{
if(T>0)
{
printf("%d\n\n",j);
}
else
{
printf("%d\n",j);
}
break;
}
}
}
return 0;
}
(UVA) The ? 1 ? 2 ? ... ? n = k problem
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文章标签 #include sed i++ 文章分类 JavaScript 前端开发
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The ? 1 ? 2 ? ... ? n = k problem
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