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Galebickosikasa

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Dec 8th, 2020
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  1. // #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
  2. // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx")
  3. // #pragma comment(linker, "/stack:200000000"]
  4.  
  5. #include <iostream>
  6. #include <vector>
  7. #include <cmath>
  8. #include <algorithm>
  9. #include <unordered_set>
  10. #include <unordered_map>
  11. #include <set>
  12. #include <map>
  13. #include <queue>
  14. #include <deque>
  15. #include <bitset>
  16. #include <stack>
  17. #include <random>
  18. #include <fstream>
  19. #include <sstream>
  20. #include <chrono>
  21.  
  22. #define fi first
  23. #define se second
  24. #define pb push_back
  25. #define ll long long
  26. #define ld long double
  27. #define hm unordered_map
  28. #define pii pair<int, int>
  29. #define sz(a) (int)a.size()
  30. #define all(a) a.begin(), a.end()
  31. #define cinv(v) for (auto& x: v) cin >> x
  32. #define fr(i, n) for (int i = 0; i < n; ++i)
  33. #define fl(i, l, n) for (int i = l; i < n; ++i)
  34.  
  35. #define int ll
  36.  
  37. template <typename T1, typename T2> inline bool chkmin(T1 &x, const T2 &y) {if (x > y) {x = y; return 1;} return 0;}
  38. template <typename T1, typename T2> inline bool chkmax(T1 &x, const T2 &y) {if (x < y) {x = y; return 1;} return 0;}
  39.  
  40. using namespace std;
  41.  
  42. #ifdef LOCAL
  43. #define dbg(x) cerr << #x << " : " << x << '\n'
  44. const int maxn = 20;
  45. #else
  46. #define dbg(x)
  47. const int maxn = 1e5 + 20;
  48. #endif
  49.  
  50. //tg: @galebickosikasa
  51.  
  52. ostream& operator << (ostream& out, const pii& v) {
  53. out << v.fi << ", " << v.se;
  54. return out;
  55. }
  56.  
  57. template<typename T> ostream& operator << (ostream& out, const vector<T>& v) {
  58. for (auto& x: v) out << x << " ";
  59. return out;
  60. }
  61.  
  62. istream& operator >> (istream& in, pii& a) {
  63. in >> a.fi >> a.se;
  64. return in;
  65. }
  66.  
  67. const ll inf = (ll) 2e9;
  68. const ld pi = asin (1) * 2;
  69. const ld eps = 1e-8;
  70. const ll mod = (ll)1e9 + 7;
  71. const ll ns = 97;
  72.  
  73. mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
  74.  
  75. ll mult (ll a, ll b) {
  76. return a * b % mod;
  77. }
  78.  
  79. ll add (ll a, ll b) {
  80. int c = a + b;
  81. if (c >= mod) c -= mod;
  82. return c;
  83. }
  84.  
  85. ll powmod (ll a, ll n) {
  86. if (n == 0) return 1;
  87. if (n % 2) return mult (a, powmod (a, n - 1));
  88. ll b = powmod (a, n / 2);
  89. return mult (b, b);
  90. }
  91.  
  92. ll inv (int a) {
  93. return powmod (a, mod - 2);
  94. }
  95.  
  96. int f[maxn], rev[maxn];
  97.  
  98. int C (int n, int k) {
  99. return mult (mult (f[n], rev[k]), rev[n - k]);
  100. }
  101.  
  102. signed main () {
  103. ios_base::sync_with_stdio(false);
  104. cin.tie(nullptr);
  105. cout.tie(nullptr);
  106. int n;
  107. cin >> n;
  108. n /= 2;
  109. f[0] = 1;
  110. fl (i, 1, maxn) f[i] = mult (f[i - 1], i);
  111. rev[maxn - 1] = inv (f[maxn - 1]);
  112. for (int i = maxn - 2; i >= 0; --i) rev[i] = mult (rev[i + 1], i + 1);
  113. int ans = mult (C (2 * n, n), inv (n + 1));
  114. cout << ans << '\n';
  115.  
  116.  
  117.  
  118.  
  119.  
  120.  
  121. }
  122.  
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