nyoj最长递增子序列
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/*Longest Ordered Subsequence
Time Limit: 2000MS Memory Limit: 65536K
Total Submissions: 32192 Accepted: 14093
Description
A numeric sequence of ai is ordered if a1 < a2 < ... < aN.
Let the subsequence of the given numeric sequence (a1, a2, ..., aN) be any
sequence (ai1, ai2, ..., aiK), where 1 <= i1 < i2 < ... < iK <= N.
For example, sequence (1, 7, 3, 5, 9, 4, 8) has ordered subsequences, e. g.,
(1, 7), (3, 4, 8) and many others. All longest ordered subsequences are of length 4,
e. g., (1, 3, 5, 8).
Your program, when given the numeric sequence, must find the length of its longest
ordered subsequence.
Input
The first line of input file contains the length of sequence N.
The second line contains the elements of sequence - N integers in the range from 0
to 10000 each, separated by spaces. 1 <= N <= 1000
Output
Output file must contain a single integer - the length of the longest ordered
subsequence of the given sequence.
Sample Input
7
1 7 3 5 9 4 8
Sample Output
4*/
小提醒:英语要学好呀!我就是看不懂题意,研究了好长时间。
最长子序列是(1 3 4 8)。
<span style="font-size:18px;"># include<stdio.h>int a[1002],dp[1002];int main(){ int n,i,j,m; scanf("%d",&n); for(i=1;i<=n;i++) scanf("%d",&a[i]); dp[1]=m=1; for(i=2;i<=n;i++) { for(dp[i]=1,j=i-1;j>=1;j--){ if(a[i]>a[j]&&dp[i]<=dp[j]){ dp[i]=dp[j]+1; if(dp[i]>m) m=dp[i]; } } } printf("%d\n",m); return 0;}</span>
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