array array array
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 459 Accepted Submission(s): 282
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?
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
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
这道题转换之后就是求最长上升子序列长度,此外,发现了一种二分求LIS方法。
#include<iostream> #include<cstdio> #include<cstring> #include<algorithm> #include<queue> #include<vector> #include<cmath> #include<string> #define LL long long const int maxn=1e5+5; using namespace std; int a[maxn],b[maxn],c[maxn]; int n; int LIS(int *d){ memset(c,0,sizeof(c)); c[1]=d[1]; int l,r,mid,len=1; for(int i=2;i<=n;i++){ l=1; r=len; while(l<=r){ mid=(l+r)/2; if(c[mid]<=d[i]) l=mid+1; else r=mid-1; } c[l]=d[i]; if(l>len) len++; } return len; } int main() { int T; scanf("%d",&T); int k; while(T--) { scanf("%d%d",&n,&k); for(int i=1;i<=n;i++) { scanf("%d",&a[i]); b[i]=-a[i]; } int maxn=max(LIS(a),LIS(b)); if(n-maxn>k) printf("A is not a magic array.n"); else printf("A is a magic array.n"); } return 0; }
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