Thursday, 24 August 2017

Maximum sum increasing subsequence

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///     Raihan Ruhin (username: raihanruhin)
///     Resume: https://raihanruhin.github.io

#include<bits/stdc++.h>
using namespace std;

#define SET(a) memset(a,-1,sizeof(a))
#define CLR(a) memset(a,0,sizeof(a))
#define PI acos(-1.0)

#define MOD 1000000007
#define MX 100010

int dp[102][102], arr[102], n;

int func(int now, int last)
{
    if(now>n) return 0;

    int &ret = dp[now][last];
    if(ret!=-1) return ret;
    ret=0;

    ret = func(now+1, last);
    if(arr[last]<arr[now])
        ret = max(ret, func(now+1, now)+arr[now]);

    return ret;
}

int main()
{
    ios_base::sync_with_stdio(0), cin.tie(0);

    int tc, kk=1, x;
    cin>>tc;

    while(tc--)
    {
        cin>>n;
        for(int i=1;i<=n;i++)
            cin>>arr[i];
        SET(dp);
        cout<<func(0, 0)<<endl;
        //cout<<"Case "<<kk++<<": "<< <<"\n";
    }
    return 0;
}

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