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HDU 1423 Greatest Common Increasing Subsequence

2016-07-29 21:32 585 查看
最长公共上升子序列。

O(n*n*n)

#pragma comment(linker, "/STACK:1024000000,1024000000")
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
#include<vector>
#include<map>
#include<set>
#include<queue>
#include<stack>
#include<iostream>
using namespace std;
typedef long long LL;
const double pi=acos(-1.0),eps=1e-8;
void File()
{
freopen("D:\\in.txt","r",stdin);
freopen("D:\\out.txt","w",stdout);
}
inline int read()
{
char c = getchar();  while(!isdigit(c)) c = getchar();
int x = 0;
while(isdigit(c)) { x = x * 10 + c - '0'; c = getchar(); }
return x;
}

const int maxn=550;
int dp[maxn][maxn];
int T,ans,len1,len2,a[maxn],b[maxn];

int main()
{
scanf("%d",&T);
while(T--)
{
scanf("%d",&len1); for(int i=1;i<=len1;i++) scanf("%d",&a[i]);
scanf("%d",&len2); for(int i=1;i<=len2;i++) scanf("%d",&b[i]);
memset(dp,ans=0,sizeof dp);
for(int i=1;i<=len1;i++)
{
for(int j=1;j<=len2;j++)
{
if(a[i]!=b[j]) dp[i][j]=dp[i-1][j];
else
{
for(int s=0;s<=j-1;s++)
{
if(b[s]>=b[j]) continue;
dp[i][j]=max(dp[i][j],dp[i-1][s]+1);
}
}
ans=max(ans,dp[i][j]);
}
}
printf("%d\n",ans);
if(T>0) printf("\n");
}
return 0;
}


优化后O(n*n)

#pragma comment(linker, "/STACK:1024000000,1024000000")
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
#include<vector>
#include<map>
#include<set>
#include<queue>
#include<stack>
#include<iostream>
using namespace std;
typedef long long LL;
const double pi=acos(-1.0),eps=1e-8;
void File()
{
freopen("D:\\in.txt","r",stdin);
freopen("D:\\out.txt","w",stdout);
}
inline int read()
{
char c = getchar();  while(!isdigit(c)) c = getchar();
int x = 0;
while(isdigit(c)) { x = x * 10 + c - '0'; c = getchar(); }
return x;
}

const int maxn=550;
int dp[maxn][maxn],f[maxn][maxn];
int T,ans,len1,len2,a[maxn],b[maxn];

int main()
{
scanf("%d",&T);
while(T--)
{
scanf("%d",&len1); for(int i=1;i<=len1;i++) scanf("%d",&a[i]);
scanf("%d",&len2); for(int i=1;i<=len2;i++) scanf("%d",&b[i]);
memset(dp,ans=0,sizeof dp); memset(f,0,sizeof f);
for(int i=1;i<=len1;i++)
{
int MAX=0;
for(int j=1;j<=len2;j++)
{
if(a[i]!=b[j]) dp[i][j]=dp[i-1][j]; else dp[i][j]=MAX+1;
if(a[i]>b[j]) MAX=max(MAX,dp[i][j]); ans=max(ans,dp[i][j]);
}
}
printf("%d\n",ans); if(T) printf("\n");
}
return 0;
}
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