相关链接
题目大意
给出一个串的$sa$数组和$manacher$求出的那个数组
请你构造出一个字典序最小的符合条件的串,可能无解
有$T(T \le 100)$组数据
数组长度$\le 10^5$
时间限制:$4s$
背景
Claris给我安利的题,似乎子问题都会的样子
但合起来就不会了
解题报告
考虑$manacher$的那个数组,实际上是给出了$O(n)$条信息
每一条信息形如:第$i$个字符(不)等于第$j$个字符
如果只有这个条件的话,我们可以搞成几个大连通块,然后贪心
考虑$sa$数组,上午才做了这个题
也可以直接贪心
但这两货直接合在一起,似乎是给出一个差分约束系统
然后让你输出一组可行解,还要让你字典序最小
于是就不会了
但我们还是考虑直接在$SA$数组上贪心
考虑回文等价的影响的话,那实际上是填一位就会影响后面的很多位
似乎想一想,直接贪心会不会使一个区间的两头被值域给卡住
但仔细想一想,即使你给那一个等价类一个大一点的字符,区间的差分序列没有变啊
该卡住的还是会卡住,没被卡住的也不会有问题
于是我们任然在SA数组上贪心,考虑能不能与前一个数相等的时候
不仅考虑$rank$数组的影响,我们还需要考虑回文等价的影响
于是这题就这么做完啦,仍然是一个$O(n)$的贪心
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