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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3. #define int              long long int
  4. #define double           long double
  5. #define print(a)         for(auto x : a) cout << x << " "; cout << endl
  6. inline int power(int a, int b) {
  7.     int x = 1;
  8.     while (b) {
  9.         if (b & 1) x *= a;
  10.         a *= a;
  11.         b >>= 1;
  12.     }
  13.     return x;
  14. }
  15.  
  16.  
  17. const int M = 1000000007;
  18. const int N = 3e5+9;
  19. const int INF = 2e9+1;
  20. const int LINF = 2000000000000000001;
  21.  
  22. //_ ***************************** START Below *******************************
  23.  
  24.  
  25. int count(int n, int mid){
  26.     int ct = 0;
  27.     for(int i=1; i<=n; i++){
  28.         int val = min(n, mid/i);
  29.         ct += val;
  30.     }
  31.     return ct;
  32. }
  33. int consistency(int n){
  34.     if(n==1) return 1;
  35.     int s = 1, e = n*n;
  36.     int ans = LINF;
  37.     while(s<=e){
  38.         int mid = s + (e-s)/2;
  39.         if(count(n, mid) >= (n*n+1)/2 ){
  40.             ans = min(ans, mid);
  41.             e = mid-1;
  42.         }
  43.         else s = mid+1;
  44.     }
  45.  
  46.     return ans;
  47.  
  48. }
  49.  
  50. void solve() {
  51.  
  52.     int n;
  53.     cin>>n;
  54.  
  55.     cout << consistency(n) << endl;
  56.  
  57.  
  58. }
  59.  
  60.  
  61.  
  62.  
  63.  
  64. int32_t main() {
  65.     ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  66.  
  67.     int t = 1;
  68.     cin >> t;
  69.     while (t--) {
  70.         solve();
  71.     }
  72.  
  73.     return 0;
  74. }
Success #stdin #stdout 0.84s 5320KB
comments (?)
stdin
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5
3
5
2
999997
999999
stdout
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3
8
2
186681673010
186682420008
https://ideone.com/PX2rZs
language:
C++14 (gcc 8.3)
created:
1 day ago
visibility:
public

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