Coderforce 598A Tricky Sum (数学)
2016-01-28 15:20
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题意:求数字之和,但是要减去2的倍数
思路:直接求...
题目
Description
In 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.
Sample Input
Input
Output
Hint
The answer for the first sample is explained in the statement.
思路:直接求...
#include<cstdio> #include <cstring> #include<cmath> #include<iostream> #include<algorithm> #include<vector> using namespace std; int main () { long long sum,n,t,x; int i; scanf("%lld",&t); while(t--) { scanf("%lld",&n); sum=n*(n+1)/2; x=sum; for(i=0;pow(2,i)<=n;i++) { sum-=(2*pow(2,i)); } printf("%lld\n",sum); } return 0; }
题目
Description
In 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.
Sample Input
Input
2 4 1000000000
Output
-4 499999998352516354
Hint
The answer for the first sample is explained in the statement.
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