HDU-5806-NanoApeLovesSequenceⅡ(尺取法)
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NanoApe Loves Sequence Ⅱ
Time Limit: 4000/2000 MS (Java/Others) Memory Limit: 262144/131072 K (Java/Others)Total Submission(s): 1348 Accepted Submission(s): 588
Problem Description
NanoApe, the Retired Dog, has returned back to prepare for for the National Higher Education Entrance Examination!
In math class, NanoApe picked up sequences once again. He wrote down a sequence withn numbers and a number m on the paper.
Now he wants to know the number of continous subsequences of the sequence in such a manner that thek -th largest number in the subsequence is no less than m .
Note : The length of the subsequence must be no less thank .
In math class, NanoApe picked up sequences once again. He wrote down a sequence with
Now he wants to know the number of continous subsequences of the sequence in such a manner that the
Note : The length of the subsequence must be no less than
Input
The first line of the input contains an integer T , denoting the number of test cases.
In each test case, the first line of the input contains three integersn,m,k .
The second line of the input containsn integers A1,A2,...,An , denoting the elements of the sequence.
1≤T≤10, 2≤n≤200000, 1≤k≤n/2, 1≤m,Ai≤109
In each test case, the first line of the input contains three integers
The second line of the input contains
Output
For each test case, print a line with one integer, denoting the answer.
Sample Input
17 4 24 2 7 7 6 5 1
Sample Output
18
Source
BestCoder Round #86
尺取法:
整个过程分为4步:
1.初始化左右端点
2.不断扩大右端点,直到满足条件
3.如果第二步中无法满足条件,则终止,否则更新结果
4.将左端点扩大1,然后回到第二步
#include <stdio.h>int a[200010];int main(){ int t,i; int n,m,k; int l,r,tmp; long long sum; scanf("%d",&t); while(t--){ scanf("%d%d%d",&n,&m,&k); for(i=0;i<n;i++){ scanf("%d",a+i); } sum=tmp=l=r=0; while(1){ if(r>=n) break; while(1){ if(r>=n) break; if(a[r]>=m){ tmp++; } if(tmp==k){ sum+=(n-r); break; } r++; } if(r>=n) break; while(1){ if(l>r) break; if(a[l]<m){ sum+=(n-r); } else{ l++; tmp--; break; } l++; } r++; } printf("%lld\n",sum); } return 0;}
别人的代码:
代码1:
#include <cstdio>#define N 200050int a[N];long long d[N];int main(){ int T,n,m,k; scanf("%d",&T); while(T--){ scanf("%d %d %d",&n,&m,&k); int t=0; long long sum=0; for(int i=1; i<=n; i++){ scanf("%d",&a[i]); if(a[i]>=m){ d[++t]=i; if(t>=k){ if(t==k) sum+=d[1]*(n-i+1); else sum+=(d[t-k+1]-d[t-k])*(n-i+1); } } } printf("%lld\n",sum); } return 0;}
代码2:
#include <cstdio>#define N 200050int a[N];int main(){ int T,n,m,k; scanf("%d",&T); while(T--){ scanf("%d %d %d",&n,&m,&k); int t=0; long long sum=0; for(int i=1; i<=n; i++) scanf("%d",&a[i]); int r=1,num=0; for(int i=1;i<=n;i++){ while(r<=n&&num<k){ if(a[r]>=m) num++; r++; } if(num>=k) sum+=n-r+2; if(a[i]>=m) num--; } printf("%lld\n",sum); } return 0;}
代码3:
#include <cstdio>const int MAXN = 200000 + 9;int a[MAXN];void solve(){ int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++){ scanf("%d", &a[i]); } long long ans = 0; int r; int t = 0; for (r = 0; r < n; r++) { if (a[r] >= m) t++; if (t == k) break; } ans += (n - r); for (int l = 1; l < n; l++) { if (a[l - 1] >= m) { t--; r++; for (;r < n; r++) { if (a[r] >= m) t++; if (t == k) break; } if (r >= n) break; ans += (n - r); } else { ans += (n - r); } } cout << ans << endl;}int main(){ //freopen("in", "r", stdin); int t; scanf("%d",&t); while(t--){ solve(); }}
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