CSU-ACM暑假集训基础组训练赛(2) B - Problem B

本文探讨如何通过反转数组中的一段子数组来实现整数组的排序。通过结构体重载运算符用于排序,高效判断是否可以通过一次反转操作使数组有序,并给出反转子数组的起始和结束索引。

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B - Problem B
Time Limit:1000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Description

Being a programmer, you like arrays a lot. For your birthday, your friends have given you an array a consisting of ndistinct integers.

Unfortunately, the size of a is too small. You want a bigger array! Your friends agree to give you a bigger array, but only if you are able to answer the following question correctly: is it possible to sort the array a (in increasing order) by reversing exactly one segment of a? See definitions of segment and reversing in the notes.

Input

The first line of the input contains an integer n (1 ≤ n ≤ 105) — the size of array a.

The second line contains n distinct space-separated integers: a[1], a[2], ..., a[n] (1 ≤ a[i] ≤ 109).

Output

Print "yes" or "no" (without quotes), depending on the answer.

If your answer is "yes", then also print two space-separated integers denoting start and end (start must not be greater than end) indices of the segment to be reversed. If there are multiple ways of selecting these indices, print any of them.

Sample Input

Input
3
3 2 1
Output
yes
1 3
Input
4
2 1 3 4
Output
yes
1 2
Input
4
3 1 2 4
Output
no
Input
2
1 2
Output
yes
1 1

Hint

Sample 1. You can reverse the entire array to get [1, 2, 3], which is sorted.

Sample 3. No segment can be reversed such that the array will be sorted.

Definitions

A segment [l, r] of array a is the sequence a[l], a[l + 1], ..., a[r].

If you have an array a of size n and you reverse its segment [l, r], the array will become:

a[1], a[2], ..., a[l - 2], a[l - 1], a[r], a[r - 1], ..., a[l + 1], a[l], a[r + 1], a[r + 2], ..., a[n - 1], a[n].


模拟+数组排序

代码如下:

#include <iostream>
#include<cstdio>
#include <algorithm>
using namespace std;
int const maxn=100000+10;


struct node
{
    int val,id;
    bool operator <(const node &rhs) const
    {
        return val<rhs.val;
    }
}nod[maxn];


int main()
{
    int n,i,r,l;
    bool flag=1;
    scanf("%d",&n);
    for(i=1;i<=n;i++)
    {
      scanf("%d",&nod[i].val);
      nod[i].id=i;
    }
    //nod[n+1].id=-1;
    sort(nod+1,nod+n+1);
    nod[n+1].id=-1;
    l=-1;
    for(i=1;i<=n;i++)
    if(nod[i].id!=i)
    {
        l=i;break;
    }
    if(l==-1)
    {
        printf("yes\n1 1\n");
        return 0;
    }
    for(i=l;i<=n;i++)
    if(nod[i].id-nod[i+1].id!=1)
    {
        r=i+1;break;
    }
   // if(i==n+1){printf("yes\n%d %d\n",l,r-1);return 0;}//加上这句虽然没错,但是多余了
    for(i=r;i<=n;i++)
    if(nod[i].id!=i)
    {
        //printf("no\n");return 0;
        flag=false;//或者flag=0
        break;
    }
    if(flag) printf("yes\n%d %d\n",l,r-1);
    else printf("no\n");
    return 0;
}


总结:

主要是熟悉一下结构体中重载运算符<用于sort函数的方法。重视基础,方法得当,事半功倍。

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