#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; vectora(n); long long sum = 0; rep(i, n) { cin >> a[i]; if (0 == i % 2)sum += a[i]; else sum -= a[i]; } if (0 != sum % m) { cout << -1 << endl; return 0; } vectorvx, vy; mint x = 1; mint y = 0; rep(i, n) { vx.push_back(x); vy.push_back(y); mint nx = y * (m - 1); mint ny = x + y * (m - 2); x = nx; y = ny; } mint ans = 1; sum = 0; rep(i, n - 1) { if (0 == a[i])continue; int r = n - sum - a[i]; int l = n - sum; if (0 < r) { ans += vx[n - i - 1] + vy[n - i - 1] * (a[i] - 1); } else { ans += vy[n - i - 1] * a[i]; } if (0 == i % 2) sum += a[i]; else sum -= m - a[i]; sum %= m; } cout << ans.val() << endl; return 0; }