位操作-leetcode 371. Sum of Two Integers

本文介绍了一种不使用加号实现两个整数相加的方法。通过位操作实现加法,具体分为两种情况:当两个数相加没有进位时,直接进行异或操作;当有进位时,则将进位部分左移一位并与当前结果进行异或操作。通过递归处理循环进位,最终得到正确的加法结果。

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原题链接:Sum of Two Integer


分析:不使用加号的加法运算,考虑如下情况:

1)a与b之间没有进位,那么a^b就是结果

2)a与b之间有进位,即a&b不等与0,那么结果就是a&b<<1 + a^b。

  考虑循环进位,使用递归处理sum;


题解:

public class Solution {
    public int getSum(int a, int b) {
        /*
            Timce Complexity:O(1)
        */
        int res=a^b;
        int flag=a&b;
        if(flag!=0)return getSum(res,flag<<1);
        return res;        
    }
}



B. Array Recoloring time limit per test2 seconds memory limit per test256 megabytes You are given an integer array a of size n . Initially, all elements of the array are colored red. You have to choose exactly k elements of the array and paint them blue. Then, while there is at least one red element, you have to select any red element with a blue neighbor and make it blue. The cost of painting the array is defined as the sum of the first k chosen elements and the last painted element. Your task is to calculate the maximum possible cost of painting for the given array. Input The first line contains a single integer t (1≤t≤103 ) — the number of test cases. The first line of each test case contains two integers n and k (2≤n≤5000 ; 1≤k<n ). The second line contains n integers a1,a2,…,an (1≤ai≤109 ). Additional constraint on the input: the sum of n over all test cases doesn't exceed 5000 . Output For each test case, print a single integer — the maximum possible cost of painting for the given array. Example InputCopy 3 3 1 1 2 3 5 2 4 2 3 1 3 4 3 2 2 2 2 OutputCopy 5 10 8 Note In the first example, you can initially color the 2 -nd element, and then color the elements in the order 1,3 . Then the cost of painting is equal to 2+3=5 . In the second example, you can initially color the elements 1 and 5 , and then color the elements in the order 2,4,3 . Then the cost of painting is equal to 4+3+3=10 . In the third example, you can initially color the elements 2,3,4 , and then color the 1 -st element. Then the cost of painting is equal to 2+2+2+2=8 . 用cpp解决
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03-19
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