#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;//少数派 mint y = 0;//多数派 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 = 0; sum = 0; rep(i, n - 1) { int r, l; if (0 == i % 2) { //[r,l) r = (sum + 0); l = (sum + a[i]); int x = n - (i + 1); ans += (l - r) * vy[x]; if (1 == x % 2) { if ((r <= (m - 1)) && ((m - 1) < l)) ans += vx[x] - vy[x]; } else { if ((r <= (0)) && ((0) < l)) ans += vx[x] - vy[x]; } } else { //(r,l] r = n - (sum + a[i]); l = n - (sum + 0); int x = n - (i + 1); ans += (l - r) * vy[x]; if (1 == x % 2) { if ((r < (-1)) && ((-1) <= l)) ans += vx[x] - vy[x]; if ((r < (n - 1)) && ((n - 1) <= l)) ans += vx[x] - vy[x]; } else { if ((r < (0)) && ((0) <= l)) ans += vx[x] - vy[x]; if ((r < (n)) && ((n) <= l)) ans += vx[x] - vy[x]; } } //cout << r << " " << l << endl; if (0 == i % 2) sum += a[i]; else sum += m - a[i]; sum %= m; //cout << ans.val() << endl; } ans++; cout << ans.val() << endl; return 0; }