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  • scu Easy Problem VI SCU

    Time Limit: 1000 MS Memory Limit: 131072 K

    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 2^0, 2^1 and 2^2 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≤10^9).

    Output

    Print the requested sum for each of t integers n given in the input.

    Sample Input

    2
    4
    1000000000

    Sample Output

    -4
    499999998352516354
    题意:从1到n相加的和,但是遇到2^0,2^1,2^2,,,等等,要把这个数变成负数。
    脑残数学毁一生,zz,就是一个数学题;
    一个等差数列减去两个等比数列
    等差数列指,从1加到n;
    等比数列指,2^0,2^1,2^2,,,等等

    #include<cstdio>
    #include <cstring>
    #include<cmath>
    #include<iostream>
    #include<algorithm>
    #include<vector>
    using namespace std;
    int main ()
    {
        long long sum,n,t;
        int i;
        scanf("%lld",&t);
        while(t--)
        {
            scanf("%lld",&n);
            for(i=0;pow(2,i)<=n;i++);
            printf("%lld
    ",n*(n+1)/2-2*((1<<i)-1));
        }
        return 0;
    }
    "No regrets."
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  • 原文地址:https://www.cnblogs.com/zxy160/p/7215143.html
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