[[https://codeforces.com/gym/289035|比赛链接]] =====CF Heidi and Library (easy) (medium)===== ====题意==== 图书馆买书,库存一开始为空,且容量有限,按顺序依次要求库存有某种书,每次买书后如果库存超出容量要扔掉一本书,问最少要买几次书。 ====题解==== 如果需要扔掉一本书,贪心地扔掉往后第一次出现最晚的那本即可(不出现可以认为在第$n+1$次出现)。 =====CF Marmots (easy)===== ====题意==== 给出$250$个点,问符合随即均匀分布还是泊松分布。 ====题解==== ??? =====CF Marmots (medium)===== ====题意==== 求出简单版本中两种分布对应的参数。 ====题解==== ??? =====CF Fake News (medium)===== ====题意==== 构造两个字符串$s,p$,满足$s$有恰好$n$个子序列等于$p$,要求两者长度均不超过$200$。$(n \le 10^6)$ ====题解==== 当$n=1$时,$s=a,p=a$满足条件,当$n=2$时,$s=abb,p=ab$满足条件。\\ 我们设$t$为形如$abcd \cdots$的字符串,并保证任何时刻两字符串均满足$s=tu,p=t$,其中$u$可为空。显然$n=1,2$的解满足该条件。\\ 设$t$尾部字符的下一个字母为$x$。\\ 考虑$n->2n+1$的变换,,$s=txuxx,p=tx$即满足条件,其中$tx$贡献一个子序列,而$tu$中有$n$个$t$的子序列,因此$tuxx$贡献$2n$个子序列。\\ 同理有$n->2n+2$的变换,,$s=txxuxx,p=tx$,证明同上。\\ 根据这个变换即可以$n=1$或$n=2$为起点,构造出符合条件的长度为$O(\log n)$的字符串。 =====CF Fake News (hard)===== ====题意==== 给定一个字符串,问所有本质不同子串出现次数的平方和。 ====题解==== 后缀自动机模板题。 =====CF Send the Fool Further! (medium)===== ====题意==== ====题解==== =====CF Maximal GCD===== ====题意==== ====题解==== =====CF Magazine Ad===== ====题意==== ====题解==== =====CF Roma and Poker===== ====题意==== ====题解==== =====CF Coprime Subsequences===== ====题意==== ====题解==== =====CF Periodic RMQ Problem===== ====题意==== ====题解==== =====CF Ice cream coloring===== ====题意==== ====题解==== =====CF Array Division===== ====题意==== ====题解====