HDU6197

array array array

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 114    Accepted Submission(s): 65

Problem Description

One day, Kaitou Kiddo had stolen a priceless diamond ring. But detective Conan blocked Kiddo's path to escape from the museum. But Kiddo didn't want to give it back. So, Kiddo asked Conan a question. If Conan could give a right answer, Kiddo would return the ring to the museum. 
Kiddo: "I have an array A and a number k, if you can choose exactly k elements from A and erase them, then the remaining array is in non-increasing order or non-decreasing order, we say A is a magic array. Now I want you to tell me whether A is a magic array. " Conan: "emmmmm..." Now, Conan seems to be in trouble, can you help him?

 

 

Input

The first line contains an integer T indicating the total number of test cases. Each test case starts with two integers n and k in one line, then one line with n integers: A1,A2…An.
1≤T≤20
1≤n≤105
0≤k≤n
1≤Ai≤105

 

 

Output

For each test case, please output "A is a magic array." if it is a magic array. Otherwise, output "A is not a magic array." (without quotes).

 

 

Sample Input

3 4 1 1 4 3 7 5 2 4 1 3 1 2 6 1 1 4 3 5 4 6

 

 

Sample Output

A is a magic array. A is a magic array. A is not a magic array.

 

 

Source

2017 ACM/ICPC Asia Regional Shenyang Online

 

//2017-09-10
#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>

using namespace std;

const int N = 110000;
int arr[N], rarr[N], n, k;
int dp1[N], dp2[N];

int Search(int* dp,int len,int num){  
    int low = 1,high = len;  
    while(low <= high){  
            int mid = (low + high) >> 1;  
            if (num == dp[mid]) return mid;  
            if (dp[mid] < num) low = mid + 1;  
            else high = mid - 1;  
        }  
    return low;  
}  

int main()
{
    int T;
    scanf("%d", &T);
    while(T--){
        scanf("%d%d", &n, &k);
        for(int i = 1; i <= n; i++)
              scanf("%d", &arr[i]);
        for(int i = 1; i <= n; i++)
              rarr[i] = arr[n-i+1];
        int lis = 1;
        dp1[0] = -1;
        dp1[1] = arr[1];
        for(int i = 1; i <= n; i++){
            if(arr[i] > dp1[lis])
                  dp1[++lis] = arr[i];
            else{
                int pos = Search(dp1, lis, arr[i]);
                dp1[pos] = arr[i];
            }
        }
        int lds = 1;
        dp2[0] = -1;
        dp2[1] = rarr[1];
        for(int i = 1; i <= n; i++){
            if(rarr[i] > dp2[lds])
                  dp2[++lds] = rarr[i];
            else{
                int pos = Search(dp2, lds, rarr[i]);
                dp2[pos] = rarr[i];
            }
        }
        //printf("%d %d\n", lis, lds);
        if(n-k <= lis || n-k <= lds)
              printf("A is a magic array.\n");
        else
              printf("A is not a magic array.\n");
    }

    return 0;
}