// ~~ icebear ~~
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
template<class T>
bool minimize(T &a, const T &b) {
if (a > b) return a = b, true;
return false;
}
template<class T>
bool maximize(T &a, const T &b) {
if (a < b) return a = b, true;
return false;
}
#define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
#define FORR(i,a,b) for(int i=(a); i>=(b); --i)
#define REP(i, n) for(int i=0; i<(n); ++i)
#define RED(i, n) for(int i=(n)-1; i>=0; --i)
#define MASK(i) (1LL << (i))
#define BIT(S, i) (((S) >> (i)) & 1)
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define task "icebear"
/*END OF TEMPLATE. ICEBEAR AND THE CAT WILL WIN VOI26 */
const int MOD = 1e9 + 9;
const int inf = 1e9 + 27092008;
const ll INF = 1e18 + 27092008;
const int N = 2e7 + 5;
int n, m, T, f[N];
void init(void) {
cin >> n >> m >> T;
}
void process(void) {
if (n > m) swap(n, m);
if (n == 1) {
if (m == 1) cout << T + 1;
else {
int ans = 0;
FOR(r, 1, T) {
if (1LL * r * (m - 1) > T) break;
(ans += T - r * (m - 1) + 1) %= MOD;
}
cout << ans;
}
} else {
n--; m--;
T -= n + m;
f[0] = 1;
vector<int> needs({1, n, m, n * m});
for(int x : needs) if (x > 0)
FOR(i, x, T) f[i] = (f[i] + f[i - x]) % MOD;
int ans = 0;
FOR(i, 0, T) ans = (ans + f[i]) % MOD;
cout << ans;
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int tc = 1;
// cin >> tc;
while(tc--) {
init();
process();
}
return 0;
}
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