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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. bool isPossible(int n, int m, int k, int mid){
  26. 	int p = mid*(mid+1)/2;
  27.  
  28. 	int sum = p + p;
  29.  
  30. 	int left = mid-k;
  31. 	if(left<0){
  32. 		sum += abs(left);
  33. 	}
  34. 	else sum -= (left*(left+1))/2;
  35.  
  36. 	int right = mid - (n-k+1);
  37. 	if(right<0){
  38. 		sum += abs(right);
  39. 	}
  40. 	else sum -= (right * (right+1))/2;
  41.  
  42. 	sum -= mid;
  43.  
  44. 	return sum <= m;
  45.  
  46. }
  47.  
  48. int consistency(int n, int m, int k){
  49.  
  50. 	int s = 0;
  51. 	int e = INF;
  52.  
  53. 	while(s<e){
  54. 		int mid = s + (e-s+1)/2;
  55. 		if(isPossible(n, m, k, mid)){
  56. 			s = mid;
  57. 		}
  58. 		else e = mid-1;
  59. 	}
  60.  
  61. 	return e;
  62.  
  63. }
  64.  
  65.  
  66.  
  67.  
  68. int practice(int n, int m, int k){
  69.  
  70. 	return 0;
  71. }
  72.  
  73.  
  74.  
  75.  
  76.  
  77.  
  78. void solve() {
  79.  
  80.     int n, m, k;
  81.     cin>>n >> m >> k;
  82.  
  83.     int ans = consistency(n, m, k);
  84.     // int check = practice(n, m, k);
  85. 	// cout << ans << " -> " << check << endl;
  86.  
  87.  
  88. 	cout << ans << endl;
  89.  
  90.  
  91. }
  92.  
  93.  
  94.  
  95.  
  96.  
  97. int32_t main() {
  98.     ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  99.     srand(time(0)); //* Seed random
  100.  
  101.     int t = 1;
  102.     cin >> t;
  103.     while (t--) {
  104.         solve();
  105.     }
  106.  
  107.     return 0;
  108. }
Success #stdin #stdout 0s 5320KB
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https://ideone.com/L2XXY6
language:
C++14 (gcc 8.3)
created:
1 day ago
visibility:
public

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