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class="recent-post-item"><div class="recent-post-info no-cover"><a class="article-title" href="/undefined/undefined.html" title="page">page</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2024-09-26T16:30:28.000Z" title="发表于 2024-09-27 00:30:28">2024-09-27</time></span></div><div class="content"></div></div></div><div class="recent-post-item"><div class="recent-post-info no-cover"><a class="article-title" href="/undefined/dfab75bc.html" title="第五届太原理工大学新生赛初赛题解">第五届太原理工大学新生赛初赛题解</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2023-10-21T15:30:11.000Z" title="发表于 2023-10-21 23:30:11">2023-10-21</time></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E9%A2%98%E8%A7%A3/">题解</a></span></div><div class="content">第五届太原理工大学程序设计竞赛新生赛(初赛)题解
⭐A.饿饿饭饭
题目:
🌟题解:
很简单,签个到输出谁饿了
代码:
1234567#include<iostream>using namespace std;int main(){ string s; cin>>s; cout<<s<<":eeff";}
⭐B.扣点点
题目:
🌟题解:
hammer喜欢玩扣点点但太菜了理不清牌(doge),让你帮忙按一定顺序整理,典型的排序吧
代码:
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596971.这种字符串数组排序较为简单#include <iostream& ...</div></div></div><div class="recent-post-item"><div class="recent-post-info no-cover"><a class="article-title" href="/undefined/f1b6fc8a.html" title="杂题结论">杂题结论</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2023-09-16T06:49:45.000Z" title="发表于 2023-09-16 14:49:45">2023-09-16</time></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E6%9D%82%E9%A2%98/">杂题</a></span></div><div class="content">1.[a,b]的奇数之和
[1,2k-1]的奇数之和:k^2
((b+1)/2)((b+1)/2)-(a/2)(a/2)
2.[a,b]的偶数之和:
[1,2k]的偶数和
k+k^2
:(b/2-(a-1)/2)+(b/2)(b/2)-((a-1)/2)((a-1)/2)
3.八进制十进制小数
1234567891011121314151617181920212223242526272829#include<iostream>#include<cstring>using namespace std;const int N = 10010;char d[N] ; //八进制数int ans[N] ; //十进制数int main(){ while(cin>>d){ memset(ans,0,sizeof(ans)); //每组数据都必须先初始化ans[] int d2; int len = strlen(d); //记录小数的位数 int t = ...</div></div></div><div class="recent-post-item"><div class="recent-post-info no-cover"><a class="article-title" href="/undefined/1ae3852a.html" title="序列式容器">序列式容器</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2023-09-12T05:50:18.000Z" title="发表于 2023-09-12 13:50:18">2023-09-12</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/STL/">STL</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/STL/">STL</a></span></div><div class="content">一、简介
序列容器以线性序列的方式存储元素。它没有对元素进行排序,元素的顺序和存储它们的顺序相同。一般来说,有 5 种标准的序列容器,每种容器都具有不同的特性:
array<T,N> (数组 :是一个长度固定的序列,有N个T类型的对象,不能增加或删除元素。
vector (向量容器) :
是一个长度可变的序列,用来存放T类型的对象。必要时,可以自动增加容量,但只能在序列的末尾高效地增加或删除元素。
deque (双向队列容器) :
是一个长度可变的、可以自动增长的序列,在序列的两端都不能高效地增加或删除元素。
list (链表容器) :
是一个长度可变的、由 T 类型对象组成的序列,它以双向链表的形式组织元素,在这个序列的任何地方都可以高效地增加或删除元素。访问容器中任意元素的速度要比前三种容器慢,这是因为 list 必须从第一个元素或最后一个元素开始访问,需要沿着链表移动,直到到达想要的元素。
forward list (正向链表容器) :
是一个长度可变的、由 T 类型对象组成的序列,它以单链表的形式组织元素,是一类比链表容器快、更节 ...</div></div></div><div class="recent-post-item"><div class="recent-post-info no-cover"><a class="article-title" href="/undefined/6d927e9f.html" title="STL简介">STL简介</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2023-09-11T12:07:01.000Z" title="发表于 2023-09-11 20:07:01">2023-09-11</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/STL/">STL</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/STL/">STL</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/%E7%AE%97%E6%B3%95/">算法</a></span></div><div class="content">STL简介
⭐STL的组成:
容器(container)
迭代器(iterator)这个概念很重要
算法(algorithm)
仿函数(function object)
适配器(adaptor)
空间配置器(allocator)
本博客主要讲讲容器和算法还有一些迭代器的知识。另外三个我也不是很理解,共同进步。
🌟容器:顾名思义是放东西的
主要是:序列式容器(Sequence container)、关联式容器(associated container)、容器适配器(container adaptor)
序列式容器:每个元素都有固定位置,取决于插入时间和地点,和值没有关系。(如vector、deque,list)
关联式容器:元素位置取决于特定的排序原则,和插入顺序无关。(如map、set、multiset,multimap)
容器适配器:包括stack、queue。
⭐算法:一些封装函数直接使用
比如sort,mergesort,heapsort进行排序;max_element,min_element是元素值大最大最小;去掉重复数字的unique;元 ...</div></div></div><div class="recent-post-item"><div class="recent-post-info no-cover"><a class="article-title" href="/undefined/ece2ea76.html" title="分解质因数">分解质因数</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2023-09-07T08:47:30.000Z" title="发表于 2023-09-07 16:47:30">2023-09-07</time></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E6%95%B0%E8%AE%BA/">数论</a></span></div><div class="content">分解质因数
:
算术基本定理:
算术基本定理可表述为:任何一个大于1的自然数 N,如果N不为质数,那么N可以唯一分解成有限个质数的乘积。
结论一
首先根据 算术基本定理 可以知道,一个合数可以由多个比他小的质数相乘而得,而这些质数就是他的质因数。
并且,例如一个数 x是 n 的因数,并且是合数,那么问一个问题。是否存在一个质数是 x 的质因数,而不是 n 的质因数?答案是不可能的哈
证明:
很明显 因为 n/x = k,那么 x 的质因数组成 x 的时候只要再乘以 k 就可以得到 n,因此可以得出一个结论:n 的因数的质因数,肯定也是 n 的质因数。
结论二
那么能不能得到一个结论就是,n 的任何一个因数 x假如他是合数,那么他绝对可以由 n 的小于x的质因数所相乘而得
答案是可以的哈
证明:
根据上面的结论推导一下就可以了。n 的因数如果是合数,那么他绝对可以由比他小的质因数组合而成,同时这些质因数是 n 的质因数,那么不就可以得到上面问题的结论。
结论三
因此最后我们又可以得到一条结论:一个数的因数,如果排序的话,最开始的因数肯定是质因数,后面才有合数。
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