A. Tricky Sum
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard outputIn this problem you are to calculate the sum of all integers from 1 to n, but you should take all powers of two with minus in the sum.
For example, for n = 4 the sum is equal to - 1 - 2 + 3 - 4 = - 4, because 1, 2 and 4 are 20, 21 and 22 respectively.
Calculate the answer for t values of n.
Input
The first line of the input contains a single integer t (1 ≤ t ≤ 100) — the number of values of n to be processed.
Each of next t lines contains a single integer n (1 ≤ n ≤ 109).
Output
Print the requested sum for each of t integers n given in the input.
Examples
input
2
4
1000000000
output
-4
499999998352516354
Note
The answer for the first sample is explained in the statement.
题意:给你n个数(1-n),如果为2^i,那么就把这个数为-1,求所有数之和。
先求出1-n的和,然后再减去2的次方就ok了。
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
long long n;
scanf("%lld",&n);
long long sum=0;
sum=(1+n)*n/2;
long long i;
long long ans=1;
for(i=1;ans<=n;i++)
{
ans=ans*2;
sum-=ans;
}
printf("%lld\n",sum);
}
return 0;
}