link 题目大意 给$n!$个$n$的排列,按字典序从小到大连成一条序列,例如$3$的情况为:$[1,2,3, 1,3,2, 2,1,3 ,2,3,1 ,3,1,2 ,3,2,1]$,问其中长度为$n$,且和为$sum=n\times (n+1)/2$的序列有多少个? 试题分析 对于合理的序列有两种情况,第一种是就是排列的,第二种就是前面$k$个与后面的$n-k$的一块组成. 对于第一种情况,答案只要$n$个,所以我们只考虑第二种情况. 当$n=3$时,$n\times n!=3!\times…
Codeforces 1091D New Year and the Permutation Concatenation https://codeforces.com/contest/1091/problem/D 题目: Let n be an integer. Consider all permutations on integers 1 to n in lexicographic order, and concatenate them into one big sequence p. For…
Description 给定一个数 \(n\),将所有 \(1~\sim~n\) 的排列按照字典序放到一个序列中,求有多少长度为 \(n\) 的子序列 \(p_i~p_{i+1}~\dots~p_{i + n - 1}\) 满足 \(\sum_{u = i}^{i + n - 1}~p_u~=~\frac{n~\times~(n - 1)}{2}\) 答案对 \(998244353\) 取模 Input 一行一个整数代表 \(n\) Output 一行一个整数代表答案对 \(998244353\…
题意:给出一个n,生成n的所有全排列,将他们按顺序前后拼接在一起组成一个新的序列,问有多少个长度为n的连续的子序列和为(n+1)*n/2 题解:由于只有一个输入,第一感觉就是打表找规律,虽然表打出来了,但是依然没有找到规律...最后看了别人的题解才发现 ans [ 3 ] = 1*2*3 + ( ans [ 2 ] - 1 ) * 3 ans[ 4 ] = 1*2*3*4 + ( ans[ 3 ] - 1 ) * 4 感觉每次离成功就差一点点!!! #include<bits/stdc++.h>…
传送门 https://www.cnblogs.com/violet-acmer/p/10201535.html 题意: 求 n 的所有全排列组成的序列中连续的 n 个数加和为 n*(n+1)/2 的区间个数. 题解: n 最大为1e6,而n的全排列个数为 n! ,一共有 n*n!个数,存都存不下啊...... 然后,第一反应就是,这题是找规律的. 一言不合就打表 ========== i=1 1 ========== i=2 2 ========== i=3 9 ========== i=4…
题意:给n!个n的排列,按字典序从小到大连成一条序列,例如3的情况为:[1,2,3, 1,3,2, 2,1,3 ,2,3,1 ,3,1,2 ,3,2,1],问其中长度为n,且和为sum=n*(n+1)/2的序列有多少个? 思路(官方题解):我们考虑一下next_perumation函数产生字典序递增的全排列的过程: 假设某一个序列长度为n,最长的递减的后缀长度k,那么它的下一个排列是这样产生的:选取序列第n-k个数,与后k个数中比第n - k个数大的最小的数交换,然后将后k个数按从小到大排序.…
[链接] 我是链接,点我呀:) [题意] 把1~n的n!种排列依次连接成一个长度为nn!的序列. 让你在这个序列当中找长度为n的连续段,使得连续段中的数字的和为n(n-1)/2 输出符合要求的连续段的个数 [题解] 也就是让你找到长度为n的连续段,然后里面1~n各出现一次 考虑相邻的两个排列 设他们有长度为i的相同前缀 例如 xxabcxxcba 会发现我们用第二个排列的前i个数字与第一个排列的后n-i个数字能够组成一个符合要求的连续段. 即"abcxx" 为什么? 假设我们放一个长度…
前言:这次比赛爆炸,比赛时各种想多,导致写到\(D\)题时思路已经乱了,肝了\(1\)个多小时都没肝出来,\(B\)题中途因为没开\(long\ long\)又被\(HACK\)了..\(C\)题因为在提交前修改的一个疏忽,\(fst\)..瞬间起飞,\(rating\)掉了\(100+\),差点回到\(pupil \quad QAQ\). A. New Year and the Christmas Ornament Description 给出\(a, b, c\)三个数,对于一个公差为\(1…
Good Bye 2018 2018年最后一场CF,OVER! 弱弱的我只能做出3道A,B,D~~~~ 最后几分钟,感觉找到了C题的规律,结束的那一刻,提交了一发 "Wrong answer on pretest 5"......... 一开始,做完AB题直接就看C题,当时没想着打表找规律,死抠了好大一会,没思路,果断换题; D题打了个表,找到了规律,AC~~~ 然后,回过头来接着看C,无奈之举,打了个表,由于当时时间紧迫,找了二十多分钟的规律,只找了看了前十个数,发现他们有一个共同的…
目录 Codeforces 1091 A.New Year and the Christmas Ornament B.New Year and the Treasure Geolocation C.New Year and the Sphere Transmission(思路) D.New Year and the Permutation Concatenation(思路 计数) E.New Year and the Acquaintance Estimation(Erdos–Gallai定理…
占个坑先,希望不要掉的太惨了吧,不要掉到上一次之前的rating upt:flag竟然没到,开心. A - New Year and the Christmas Ornament 好像没什么可说的. #include<cstdio> #include<cstring> #include<algorithm> #include<queue> #include<set> #include<map> #include<vector&g…
咕bye 2018,因为我这场又咕咕咕了 无谓地感慨一句:时间过得真快啊(有毒 A.New Year and the Christmas Ornament 分类讨论后等差数列求和 又在凑字数了 #include<cstdio> #include<cstring> #include<algorithm> using namespace std; int a,b,c; int main() { scanf("%d%d%d",&a,&b,&…
A. New Year and the Christmas Ornament 签到. #include <bits/stdc++.h> using namespace std; int a, b, c; int main() { while (scanf("%d%d%d", &a, &b, &c) != EOF) { , c - )); printf( + ); } ; } B. New Year and the Treasure Geolocati…
Good Bye 2018! 题目链接:https://codeforces.com/contest/1091 A. New Year and the Christmas Ornament 题意: 给出三堆数量分别为y,b,r的东西,现在要你从三堆中各选一堆,满足y'+1=b'且b'+1=r' (y',r',b'分别是指从中选取的个数). 现在问最多能拿出的个数为多少. 题解: 我是直接模拟的= =但是有更简单的方法. 让y+=2,b+=1,那么现在的最优解为min(y,b,r)*3-3.这个还…
The set [1,2,3,-,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…
Given a string s, return all the palindromic permutations (without duplicates) of it. Return an empty list if no palindromic permutation could be form. For example: Given s = "aabb", return ["abba", "baab"]. Given s = "a…
Given a string, determine if a permutation of the string could form a palindrome. For example,"code" -> False, "aab" -> True, "carerac" -> True. Hint: Consider the palindromes of odd vs even length. What difference d…
The set [1,2,3,…,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…
Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). The replaceme…
You are given a string, s, and a list of words, words, that are all of the same length. Find all starting indices of substring(s) in s that is a concatenation of each word in words exactly once and without any intervening characters. For example, giv…
The set [1,2,3,-,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…
UVA - 11525 Permutation 题意:输出1~n的所有排列,字典序大小第∑k1Si∗(K−i)!个 学了好多知识 1.康托展开 X=a[n]*(n-1)!+a[n-1]*(n-2)!+...+a[i]*(i-1)!+...+a[1]*0! 其中a[i]为第i位是i往右中的数里 第几大的-1(比他小的有几个). 其实直接想也可以,有点类似数位DP的思想,a[n]*(n-1)!也就是a[n]个n-1的全排列,都比他小 一些例子 http://www.cnblogs.com/hxsyl…
For research purpose, I've read a lot materials on permutation test issue. Here is a summary. Should be useful. Still, thanks for contributors online. P value calculation Because the actual value is one of those permutations, I would like to change t…
You are given a string, S, and a list of words, L, that are all of the same length. Find all starting indices of substring(s) in S that is a concatenation of each word in L exactly once and without any intervening characters. For example, given:S: "b…
(M) Permutations (M) Permutations II (M) Permutation Sequence (M) Palindrome Permutation II…
Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). The replaceme…
You are given a string, s, and a list of words, words, that are all of the same length. Find all starting indices of substring(s) in s that is a concatenation of each word in words exactly once and without any intervening characters. For example, giv…
Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). The replaceme…
题目链接:https://leetcode.com/submissions/detail/55876321/ 自己的做法,30个测试用例通过了29例,终究还是有一个系列类型的是无法通过的,因为自己妄想在permutation的代码上,通过排序来进行.然而,每一次同第一个元素交换位置之后,进入了递归,此时数组nums并不是有序的!!! 来看看自己的这段代码,谨记教训,然后还是去看看大神们的思路吧! class Solution { public: vector<vector<int>>…
B. New Year Permutation time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output User ainta has a permutation p1, p2, ..., pn. As the New Year is coming, he wants to make his permutation as pretty…