Codeforces 1017 CThe Phone Number

本文介绍了一种构造特定序列的算法,该序列能使最长上升子序列与最长下降子序列的长度之和最小。通过将序列分为若干段,并分别进行递减与递增处理,实现了对序列的有效构造。

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题意:给了数n代表数列的长度,要求构造一个数列使得最长上升自序列的长度和最长下降子序列的长度和最小

分析:  构造.我们把这个序列分成若干段,首先满足最长上升子序列的长度最小的话,就尽可能让每一段是递减的,而最长上升子序列的长度和子段有关.  再考虑最长下降子序列,因为已经每一段之间都是递减的关系,那么子段递增才可能尽可能让递减序列的长度小.  至于分成多少段,我们假设分成x段,则最长上升子序列的长度为n/x,最长下降子序列的长度为x,我们要使得x+n/x尽可能小就是x=sqrt(n)的时候

代码:

#include<bits/stdc++.h>
using namespace std;
const int maxn = 1e5 + 10;
int a[maxn],tmp[maxn];
vector<int>vec[maxn];
bool cmp(int x,int y)
{
    return x > y;
}
int main()
{
    int n;
    cin>>n;
    for(int i = 1; i <= n; i++)
        a[i] = i;
    int x = (int)sqrt(n);
    //printf("%d\n",x);
    int r = n % x;
    int d = n / x;
    if(r != 0)d++;
    for(int i = 1; i <= d; i ++)
    {
        for(int j = (i - 1) * d + 1; j <= i * d && j <= n; j++)
            vec[i].push_back(a[j]);
    }
    for(int i = d; i >= 1; i--)
    {
        for(int j = 0; j < vec[i].size(); j++)
            printf("%d ",vec[i][j]);
    }
    printf("\n");
    return 0;
}

 

### Codeforces Problem 1332C Explanation The provided references pertain specifically to problem 742B on Codeforces rather than problem 1332C. For an accurate understanding and solution approach for problem 1332C, it's essential to refer directly to its description and constraints. However, based on general knowledge regarding competitive programming problems found on platforms like Codeforces: Problem 1332C typically involves algorithmic challenges that require efficient data structures or algorithms such as dynamic programming, graph theory, greedy algorithms, etc., depending upon the specific nature of the task described within this particular question[^6]. To provide a detailed explanation or demonstration concerning **Codeforces problem 1332C**, one would need direct access to the exact statement associated with this challenge since different tasks demand tailored strategies addressing their unique requirements. For obtaining precise details about problem 1332C including any sample inputs/outputs along with explanations or solutions, visiting the official Codeforces website and navigating to contest number 1332 followed by examining section C is recommended. ```python # Example pseudo-code structure often seen in solving competitive coding questions. def solve_problem_1332C(input_data): # Placeholder function body; actual logic depends heavily on the specifics of problem 1332C. processed_result = process_input(input_data) final_answer = compute_solution(processed_result) return final_answer input_example = "Example Input" print(solve_problem_1332C(input_example)) ```
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