题意:给定一个n个数的数列,问删掉一个数之后剩余部分是否可以单调不增或单调不减

n<=1e5,a[i]<=1e5

思路:预处理一下前后缀是否合法

 #include<cstdio>
#include<cstring>
#include<string>
#include<cmath>
#include<iostream>
#include<algorithm>
#include<map>
#include<set>
#include<queue>
#include<vector>
using namespace std;
typedef long long ll;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef pair<int,int> PII;
typedef vector<int> VI;
#define fi first
#define se second
#define MP make_pair
#define N 210000
#define M 1100
#define MOD 2147493647
#define eps 1e-8
#define pi acos(-1) int a[N],b[N],c[N],k; int main()
{
//freopen("F.in","r",stdin);
//freopen("F.out","w",stdout);
int cas;
scanf("%d",&cas);
for(int v=;v<=cas;v++)
{
k=;
int n;
scanf("%d",&n);
for(int i=;i<=n;i++)
{
scanf("%d",&a[i]);
b[i]=c[i]=;
}
b[]=;
for(int i=;i<=n;i++)
if(b[i-]==&&a[i]>=a[i-]) b[i]=;
else c[i]=;
c[n]=;
for(int i=n-;i>=;i--)
if(c[i+]==&&a[i]<=a[i+]) c[i]=;
else c[i]=;
int flag=;
//for(int i=1;i<=n;i++) printf("%d ",b[i]);
// printf("\n");
//for(int i=1;i<=n;i++) printf("%d ",c[i]);
// printf("\n");
for(int i=;i<=n;i++)
{
if(i>&&b[i-]==) continue;
if(i<n&&c[i+]==) continue;
if(i>&&i<n&&a[i-]>a[i+]) continue;
flag=; k=i;
break;
}
// printf("%d\n",k);
for(int i=;i<=n;i++) b[i]=c[i]=;
b[]=;
for(int i=;i<=n;i++)
if(b[i-]==&&a[i]<=a[i-]) b[i]=;
else break;
c[n]=;
for(int i=n-;i>=;i--)
if(c[i+]==&&a[i]>=a[i+]) c[i]=;
else break;
for(int i=;i<=n;i++)
{
if(i>&&b[i-]==) continue;
if(i<n&&c[i+]==) continue;
if(i>&&i<n&&a[i-]<a[i+]) continue;
flag=; k=i;
break;
}
// printf("%d\n",k);
if(flag) printf("YES\n");
else printf("NO\n");
}
return ;
}

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