Description
There is a sequence of integers. Your task is to find the longest subsequence that satisfies the following condition: the difference between the maximum element and the minimum element of the subsequence is no smaller than m and no larger than k.
Input
There are multiple test cases.
For each test case, the first line has three integers, n, m and k. n is the length of the sequence and is in the range [1, 100000]. m and k are in the range [0, 1000000]. The second line has n integers, which are all in the range [0, 1000000].
Proceed to the end of file.
Output
For each test case, print the length of the subsequence on a single line.
Sample Input
5 0 0 1 1 1 1 1 5 0 3 1 2 3 4 5
Sample Output
5 4
思路
维护两个单调队列,一个单调递增,维护最小值,一个单调递减,维护最大值。
#include<stdio.h> #include<string.h> const int maxn = 100005; int a[maxn],q1[maxn],q2[maxn]; int main() { int n,m,k; while (~scanf("%d%d%d",&n,&m,&k)) { int res = 0,pos = 0; memset(a,0,sizeof(a)); memset(q1,0,sizeof(q1)); memset(q2,0,sizeof(q2)); for (int i = 1;i <= n;i++) scanf("%d",&a[i]); int head1 = 1,head2 = 1,tail1 = 0,tail2 = 0; for (int i = 1;i <= n;i++) { while (head1 <= tail1 && a[i] <= a[q1[tail1]]) tail1--; //队头元素最小 q1[++tail1] = i; while (head2 <= tail2 && a[i] >= a[q2[tail2]]) tail2--; //队头元素最大 q2[++tail2] = i; while (head1 <= tail1 && head2 <= tail2 && a[q2[head2]] - a[q1[head1]] > k) { if (q1[head1]<q2[head2]) pos = q1[head1++]; else pos = q2[head2++]; } if (head1 <= tail1 && head2 <= tail2 && a[q2[head2]] - a[q1[head1]] >= m) res = res>(i-pos)?res:(i-pos); } printf("%d\n",res); } return 0; }