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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3.  
  4. #define pb push_back
  5. #define ll long long
  6. #define bit(n, i) ((n >> i) & 1)
  7. #define all(a) a.begin(), a.end()
  8. #define rep(i, x, n) for (int i = x; i <= n; ++i)
  9. #define red(i, x, n) for (int i = x; i >= n; --i)
  10. #define inp(a) if (fopen(a".inp", "r")) freopen(a".inp", "r", stdin), freopen(a".out", "w", stdout)
  11.  
  12. template<class A, class B> inline bool maxi(A &x, B y) {return (x < y ? x = y, 1 : 0);};
  13. template<class A, class B> inline bool mini(A &x, B y) {return (x > y ? x = y, 1 : 0);};
  14.  
  15. const int N = 1e5 + 5;
  16. const ll MOD = 1e9 + 7;
  17. const ll INF = LLONG_MAX;
  18.  
  19. // main program
  20.  
  21. int f[N];
  22. int n, a, b;
  23.  
  24. void solve(){
  25.     cin >>n >>a >>b;
  26.  
  27.     memset(f, 0x3f, sizeof f);
  28.  
  29.     f[0] = f[1] = 0;
  30.  
  31. /*
  32.     f[range] = min V (max(a + f[i], b + f[range - i])    
  33.     ta thay f[range] la 1 ham dong bien
  34.     -> f[range - 1] <= f[range] <= f[range + 1] ...
  35.     
  36.     -> de toi uu duoc ham max(a + f[i], b + f[range - i]) thi
  37.         a + f[i] phai can bang voi b + f[range - i]
  38.     -> tknp
  39. */
  40.     rep(range, 2, n) rep(i, 1, range - 1){
  41.         mini(f[range], max(a + f[i], b + f[range - i]));
  42.     }
  43.  
  44.     cout <<f[n] <<'\n';
  45. }
  46. signed main(){
  47.     cin.tie(0) -> sync_with_stdio(0);
  48.  
  49.     int q; cin >>q;
  50.  
  51.     while (q--) solve();    
  52.  
  53.     return 0;
  54. }
Success #stdin #stdout 0.49s 5288KB
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https://ideone.com/zxbPMV
language:
C++14 (gcc 8.3)
created:
1 day ago
visibility:
public

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