TAHMID37

dp

Oct 6th, 2021 (edited)
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  1. /*  TAHMID RAHMAN
  2.     DAMIAN FOREVER
  3.      MATH LOVER
  4.     NEVER GIVE UP
  5. */
  6. #include<bits/stdc++.h>
  7. using namespace std;
  8. #define pi acos(-1.0)
  9. #define fastio ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
  10. #define ll long long
  11. #define pb push_back
  12. #define fi first
  13. #define se second
  14. #define in insert
  15. #define mp make_pair
  16. #define GCD(a,b) __gcd(a,b);
  17. #define endl "\n"
  18. #define FRU freopen("out.txt","w",stdout)
  19. #define FRO freopen("in.txt","r",stdin)
  20. #define INFLL 9223372036854775807
  21. #define all(x) (x).begin(),(x).end()
  22. #define MAXN   100001
  23. #define ar array
  24. #define lb lower_bound
  25. #define ub upper_bound
  26. #define minpq priority_queue<ll, vector<ll>, greater<ll>>
  27. #define maxpq priority_queue<ll>
  28. const int mxN=2e5;
  29. const int MOD=1e9+7;
  30. template<typename ForwardIterator, typename T>
  31. ForwardIterator first_less_than (ForwardIterator first, ForwardIterator last, T value)
  32. {auto it = std::lower_bound (first, last, value);
  33. return (it == first ? last : --it);}
  34. bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b)
  35. {
  36.     return (a.second < b.second);
  37. }
  38. #define debugxx(v) {for(auto x:v){cout<<x.fi<<" "<<x.se<<endl;}cout<<endl;}
  39. #define debugx(v){for(auto y:v) {cout<<y<<" ";}cout<<endl;}
  40. #define debug(x) cout<<#x<<" ";_print(x); cout<<endl;
  41. typedef unsigned long long ull;
  42. typedef long double lld;
  43. void _print(ll t) {cout << t;}
  44. void _print(int t) {cout << t;}
  45. void _print(string t) {cout << t;}
  46. void _print(char t) {cout << t;}
  47. void _print(lld t) {cout << t;}
  48. void _print(double t) {cout << t;}
  49. void _print(ull t) {cout << t;}
  50.  
  51. template <class T, class V> void _print(pair <T, V> p);
  52. template <class T> void _print(vector <T> v);
  53. template <class T> void _print(set <T> v);
  54. template <class T, class V> void _print(map <T, V> v);
  55. template <class T> void _print(multiset <T> v);
  56. template <class T, class V> void _print(pair <T, V> p) {cout << "{"; _print(p.fi); cout << ","; _print(p.se); cout << "}";}
  57. template <class T> void _print(vector <T> v) {cout << "[ "; for (T i : v) {_print(i); cout << " ";} cout << "]";}
  58. template <class T> void _print(set <T> v) {cout << "[ "; for (T i : v) {_print(i); cout << " ";} cout << "]";}
  59. template <class T> void _print(multiset <T> v) {cout << "[ "; for (T i : v) {_print(i); cout << " ";} cout << "]";}
  60. template <class T, class V> void _print(map <T, V> v) {cout << "[ "; for (auto i : v) {_print(i); cout << " ";} cout << "]";}
  61. //Don't hesitate to ask me if you don't understand my code.......Happy coding,Tahmid...;
  62.  
  63. ll dp[100005][2];
  64. ll n;
  65. ll v[100005];
  66.  
  67. ll helper(ll pos,ll c)
  68. {
  69.     if(pos>n)
  70.         return 0;
  71.  
  72.     if(dp[pos][c]!=-1)
  73.         return dp[pos][c];
  74.  
  75.     ll val1=helper(pos+1,c);
  76.     ll val2=helper(pos+1,c+1)+c*v[pos];
  77.     return dp[pos][c]=max(val1,val2);
  78.  
  79.     //return dp[pos][c]=max(helper(pos+1,c),helper(pos+1,c+1)+c*v[pos]);
  80.  
  81.  
  82. }
  83.  
  84. int main()
  85. {
  86.     fastio;
  87.     ll t,i,j;
  88.     cin>>n;
  89.     for(i=1;i<=n;i++)
  90.     {
  91.         cin>>v[i];
  92.     }
  93.  
  94.     memset(dp,-1,sizeof(dp));
  95.  
  96.     cout<<helper(1,1)<<endl;
  97.  
  98.     for(i=0;i<=n;i++)
  99.     {
  100.         for(j=0;j<=n;j++)
  101.             cout<<dp[i][j]<<" ";
  102.         cout<<endl;
  103.     }
  104.  
  105.  
  106.  
  107.  
  108.  
  109.  
  110. }
  111.  
  112.  
  113.  
  114.  
  115.  
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