Pokémon Army (easy version)

题意:
给一个长度为 n n n的子序列,从中取出一个子序列,使 a 1 − a 2 + a 3 − a 4..... a1-a2+a3-a4..... a1a2+a3a4.....最大
思路:
可以定义一个 d p [ i ] [ 0 ] , d p [ i ] [ 1 ] dp[i][0],dp[i][1] dp[i][0],dp[i][1]数组,代表以 i i i结尾为奇数或偶数的最大子序列的 a 1 − a 2 + a 3 − a 4..... a1-a2+a3-a4..... a1a2+a3a4.....的答案,动态转移方程:
d p [ i ] [ 1 ] = m a x ( d p [ i − 1 ] [ 1 ] , d p [ i − 1 ] [ 0 ] + a [ i ] , a [ i ] ) dp[i][1]=max(dp[i-1][1],dp[i-1][0]+a[i],a[i]) dp[i][1]=max(dp[i1][1],dp[i1][0]+a[i],a[i])
d p [ i ] [ 0 ] = m a x ( d p [ i − 1 ] [ 0 ] , d p [ i − 1 ] [ 1 ] − a [ i ] ) dp[i][0]=max(dp[i-1][0],dp[i-1][1]-a[i]) dp[i][0]=max(dp[i1][0],dp[i1][1]a[i])

参考代码:

#include<cstdio>
#include<algorithm>
#include<cstring>
#include<vector>
#include<set>
#include<cmath>
#include<cstdlib>
#include<map>
using namespace std;
typedef long long ll;
const int maxn=3e5+5;
const int N=1e3+3;
int loc[65];
ll a[maxn],f[maxn][2];
int main()
{
    
    
    int t;
    scanf("%d",&t);
    while(t--)
    {
    
    
        int n,x,q;
        scanf("%d %d",&n,&q);
        for(int i=1; i<=n; i++)
        {
    
    
            scanf("%lld",&a[i]);
            f[i][1]=f[i][0]=0;
        }
        for(int i=1; i<=n; i++)
        {
    
    
            f[i][1]=max(f[i-1][1],max(f[i-1][0]+a[i],a[i]));
            f[i][0]=max(f[i-1][0],f[i-1][1]-a[i]);
        }
        printf("%lld\n",max(f[n][1],f[n][0]));
    }

}

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转载自blog.csdn.net/yangzijiangac/article/details/108864489