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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Equilibrium point 

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

    int tc, kk=1, n, x, consecutive_sum[102];
    bool found;
    consecutive_sum[0]=0;
    cin>>tc;

    while(tc--)
    {
        found =false;
        cin>>n;
        for(int i=1;i<=n;i++)
        {
            cin>>x;
            consecutive_sum[i] = consecutive_sum[i-1] + x;
        }
        for(int i=1;i<=n;i++)
        {
            if(consecutive_sum[n]-consecutive_sum[i] == consecutive_sum[i-1])
            {
                found =true;
                cout<<i<<endl;
                break;
            }
        }
        if(!found)
            cout<<-1<<endl;
        //cout<<"Case "<<kk++<<": "<< <<"\n";
    }
    return 0;
}
at 1 comment:
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Sort an array of 0s, 1s and 2s 

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

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

    while(tc--)
    {
        cin>>n;
        int zero=0, one=0, two=0;
        for(int i=0;i<n;i++)
        {
            cin>>x;
            if(!x) zero++;
            else if(x==1) one++;
            else two++;
        }
        for(int i=0;i<n;i++)
        {
            if(i) cout<<" ";
            if(zero)
            {
                cout<<0;
                zero--;
            }
            else if(one)
            {
                cout<<1;
                one--;
            }
            else
            {
                cout<<2;
                two--;
            }
        }
        cout<<endl;
        //cout<<"Case "<<kk++<<": "<< <<"\n";
    }
    return 0;
}
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Subarray with given sum 


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

    int tc, kk=1, n, x, arr[102], s;
    cin>>tc;

    while(tc--)
    {
        cin>>n>>s;
        int i;
        for(i=1;i<=n;i++)
            cin>>arr[i];
        arr[0]=0;
        int st = 1, x=0;
        bool found = false;
        i=1;
        while(i<=n || x>s)
        {
            if(x>s)
            {
                x -= arr[st];
                st++;
                i--;
            }
            else if(x<s)
            {
                x += arr[i];
            }
            if(x==s)
            {
                found=true;
                break;
            }
            i++;
        }
        if(found)
            cout<<st<<" "<<i<<endl;
        else 
            cout<<-1<<endl;
        //cout<<"Case "<<kk++<<": "<< <<"\n";
    }
    return 0;
}
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Saturday, 19 August 2017

Missing number in array 


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///     Raihan Ruhin (username : raihanruhin)
///     Online 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 main()
{
    ios_base::sync_with_stdio(0), cin.tie(0);

    int tc, n, x;
    map<int, bool>mp;
    cin>>tc;

    while(tc--)
    {
        cin>>n;
        for(int i=1; i<n; i++)
        {
            cin>>x;
            mp[x]=true;
        }
        for(int i=1; i<=n; i++)
            if(!mp[i])
            {
                cout<< i <<endl;
                break;
            }
        mp.clear();
    }
    return 0;
}
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Friday, 18 August 2017

Kadane's Algorithm 


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///     Raihan Ruhin (username : raihanruhin)
///     Online 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 main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int tc, n, arr[1002], tmp, mx, ans;
    cin>>tc;
    while(tc--)
    {
        cin>>n;
        tmp = 0;
        ans = 0;
        mx = -1e9; //single max element of the array
        for(int i=0; i<n; i++)
        {
            cin>>arr[i];
            mx = max(mx, arr[i]);
            tmp += arr[i];
            tmp = max(tmp, 0);
            ans = max(ans, tmp);
        }
        if(ans==0) cout<<mx<<endl;
        else cout<<ans<<endl;
    }
    return 0;
}
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