#include namespace { #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic pop using namespace std; using namespace atcoder; #define rep(i,n)for (int i = 0; i < int(n); ++i) #define rrep(i,n)for (int i = int(n)-1; i >= 0; --i) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() template void chmax(T& a, const T& b) { a = max(a, b); } template void chmin(T& a, const T& b) { a = min(a, b); } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; } int main() { ios::sync_with_stdio(false); cin.tie(0); ll a, b, n; cin >> a >> b >> n; if (a == 0 || a == b) { cout << 0 << '\n'; return 0; } swap(a, b); ll c = a * a + b * b, d = a * a - b * b, g = gcd(c, d); ll m = d / g; ll t = c * m / d; ll dx = t * a, dy = t * b + m * b; if (max(dx, dy) >= n) { cout << 0 << '\n'; return 0; } mint ans = mint(n - dx) * (n - dy) * 8; cout << ans.val() << '\n'; }