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  1. // ~~ icebear ~~
  2. #include <bits/stdc++.h>
  3. using namespace std;
  4.  
  5. typedef long long ll;
  6. typedef pair<int, int> ii;
  7. typedef pair<int, ii> iii;
  8.  
  9. template<class T>
  10. bool minimize(T &a, const T &b) {
  11. if (a > b) return a = b, true;
  12. return false;
  13. }
  14.  
  15. template<class T>
  16. bool maximize(T &a, const T &b) {
  17. if (a < b) return a = b, true;
  18. return false;
  19. }
  20.  
  21. #define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
  22. #define FORR(i,a,b) for(int i=(a); i>=(b); --i)
  23. #define REP(i, n) for(int i=0; i<(n); ++i)
  24. #define RED(i, n) for(int i=(n)-1; i>=0; --i)
  25. #define MASK(i) (1LL << (i))
  26. #define BIT(S, i) (((S) >> (i)) & 1)
  27. #define mp make_pair
  28. #define pb push_back
  29. #define fi first
  30. #define se second
  31. #define all(x) x.begin(), x.end()
  32. #define task "icebear"
  33. /*END OF TEMPLATE. ICEBEAR AND THE CAT WILL WIN VOI26 */
  34.  
  35. const int MOD = 1e9 + 9;
  36. const int inf = 1e9 + 27092008;
  37. const ll INF = 1e18 + 27092008;
  38. const int N = 2e7 + 5;
  39. int n, m, T, f[N];
  40.  
  41. void init(void) {
  42. cin >> n >> m >> T;
  43. }
  44.  
  45. void process(void) {
  46. if (n > m) swap(n, m);
  47. if (n == 1) {
  48. if (m == 1) cout << T + 1;
  49. else {
  50. int ans = 0;
  51. FOR(r, 1, T) {
  52. if (1LL * r * (m - 1) > T) break;
  53. (ans += T - r * (m - 1) + 1) %= MOD;
  54. }
  55. cout << ans;
  56. }
  57. } else {
  58. n--; m--;
  59. T -= n + m;
  60. f[0] = 1;
  61. vector<int> needs({1, n, m, n * m});
  62. for(int x : needs) if (x > 0)
  63. FOR(i, x, T) f[i] = (f[i] + f[i - x]) % MOD;
  64. int ans = 0;
  65. FOR(i, 0, T) ans = (ans + f[i]) % MOD;
  66. cout << ans;
  67. }
  68. }
  69.  
  70. int main() {
  71. ios_base::sync_with_stdio(0);
  72. cin.tie(0); cout.tie(0);
  73. if (fopen(task".inp", "r")) {
  74. freopen(task".inp", "r", stdin);
  75. freopen(task".out", "w", stdout);
  76. }
  77. int tc = 1;
  78. // cin >> tc;
  79. while(tc--) {
  80. init();
  81. process();
  82. }
  83. return 0;
  84. }
  85.  
Success #stdin #stdout 0.01s 5284KB
stdin
Standard input is empty
stdout
6