TAHMID37

dp

Oct 10th, 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. ///cansum make target sum from the array i can use any element of the array any  number of time i want
  63.  
  64. ll n,m;
  65.  vector<ll>arr(1005);
  66.  
  67. ll dp[1005];
  68.  
  69. bool helper(ll n,  vector<ll>& v)
  70. {
  71.     if(n<0)
  72.         return 0;
  73.     if(n==0)
  74.         return 1;
  75.     if(dp[n]!=-1)
  76.         return dp[n];
  77.  
  78.     ll x=m;
  79.     bool sum=false;
  80.     for(ll i=0;i<x;i++)
  81.     {
  82.         ll val=v[i];
  83.         sum|=helper(n-val,v);
  84.         if(sum)
  85.              return dp[n]=true;
  86.     }
  87.  
  88.     return dp[n]=false;
  89.  
  90. }
  91.  
  92. int main()
  93. {
  94.     fastio;
  95.     ll i,j,k;
  96.     cin>>n>>m;
  97.     for(i=0;i<m;i++)
  98.     {
  99.         cin>>arr[i];
  100.     }
  101.  
  102.     memset(dp,-1,sizeof(dp));
  103.  
  104.     if(helper(n,arr))
  105.         cout<<"TRUE"<<endl;
  106.     else
  107.         cout<<"FALSE"<<endl;
  108.  
  109.  
  110.  
  111. }
  112.  
  113.  
  114.  
  115.  
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