CodeForces 10D（DP）

题意：求最长公共上升子序列

思路：找了个模板..然后就....

#include<bits/stdc++.h>using namespace std;const int maxn = 505;int n1,n2;int ans,cnt;int a[maxn],b[maxn];int dp[maxn][maxn];int pre[maxn][maxn];int lcis[maxn];void getlcis(){memset(dp,0,sizeof(dp));memset(pre,0,sizeof(pre));for (int i = 1;i<=n1;i++){int k = 0;for (int j = 1;j<=n2;j++){if (a[i]!=b[j])dp[i][j]=dp[i-1][j];if (a[i]>b[j] && dp[i][j]>dp[i][k])k=j;if (a[i]==b[j]){dp[i][j]=dp[i][k]+1;pre[i][j]=k;}}}    ans = -1;int x=n1,y=0;for (int i = 1;i<=n2;i++)    if (dp[n1][i]>ans){ans = dp[n1][i];y=i;}cnt = 1;while (dp[x][y]){if (a[x]!=b[y])x--;else{lcis[ans-cnt]=b[y];cnt++;y = pre[x][y];}}}int main(){    scanf("%d",&n1);for (int i = 1;i<=n1;i++)scanf("%d",&a[i]);scanf("%d",&n2);for (int i = 1;i<=n2;i++)scanf("%d",&b[i]);    getlcis();    printf("%d\n",ans);for (int i = 0;i<ans;i++)printf("%d ",lcis[i]);printf("\n");}

Description

This problem differs from one which was on the online contest.

The sequence a₁, a₂, ..., a_n is called increasing, if a_i < a_i + 1 for i < n.

The sequence s₁, s₂, ..., s_k is called the subsequence of the sequence a₁, a₂, ..., a_n, if there exist such a set of indexes 1 ≤ i₁ < i₂ < ... < i_k ≤ n that a_ij = s_j. In other words, the sequence s can be derived from the sequence a by crossing out some elements.

You are given two sequences of integer numbers. You are to find their longest common increasing subsequence, i.e. an increasing sequence of maximum length that is the subsequence of both sequences.

Input

The first line contains an integer n (1 ≤ n ≤ 500) — the length of the first sequence. The second line contains n space-separated integers from the range [0, 10⁹] — elements of the first sequence. The third line contains an integer m (1 ≤ m ≤ 500) — the length of the second sequence. The fourth line contains m space-separated integers from the range [0, 10⁹] — elements of the second sequence.

Output

In the first line output k — the length of the longest common increasing subsequence. In the second line output the subsequence itself. Separate the elements with a space. If there are several solutions, output any.

Sample Input

Input

72 3 1 6 5 4 641 3 5 6

Output

33 5 6 

Input

51 2 0 2 131 0 1

Output

20 1