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| #include <bits/stdc++.h>
#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")
struct PairHash {inline std::size_t operator()(const std::pair<int,int> & v) const {return v.first*31+v.second;}};
#define MAX_N 151515
#define INF 987654321
#define EPS 1e-9
#define ll long long
#define pll pair<ll, ll>
#define vpll vector<pll>
#define vall3 vector<array<ll,3>>
#define all3 array<ll,3>
#define all5 array<ll,5>
#define vall5 vector<all5>
#define vll vector<ll>
#define vi vector<int>
#define vs vector<string>
#define usll unordered_set<ll>
#define uspll unordered_set<pll, PairHash>
#define vvs vector<vs>
#define vvll vector<vll>
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
using namespace std;
ll solve(ll n, ll m, ll k) {
vll dp(m + 1, 1);
dp[0] = 0;
ll mod = 998244353;
for(ll i = 1; i < n; i++) {
vll psum(m + 1);
for(ll j = 1; j <= m; j++) psum[j] = (psum[j - 1] + dp[j]) % mod;
for(ll j = 1; j <= m; j++) {
auto l = max(j - k, 0ll), r = min(j + k, m + 1);
if(k == 0) dp[j] = psum[m];
else dp[j] = (psum[l] + psum[m] - psum[r - 1] + mod) % mod;
}
}
return accumulate(all(dp), 0ll) % mod;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
ll tc = 1;
for(ll i = 1; i <= tc; i++) {
ll n, m, k;
cin>>n>>m>>k;
cout<<solve(n,m,k)<<endl;
}
return 0;
}
|
