#ifndef LOCAL #define FAST_IO #endif // ============ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i) #define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i) #define ALL(x) begin(x), end(x) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using i32 = signed int; using i64 = signed long long; using f64 = double; using f80 = long double; template using Vec = vector; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } #ifdef INT128 using u128 = __uint128_t; using i128 = __int128_t; istream &operator>>(istream &is, i128 &x) { i64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, i128 x) { os << (i64)x; return os; } istream &operator>>(istream &is, u128 &x) { u64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, u128 x) { os << (u64)x; return os; } #endif [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; // ============ #ifdef DEBUGF #else #define DBG(x) (void)0 #endif // ============ #include #include // ============ #include #include template struct Add { using Value = T; static Value id() { return T(0); } static Value op(const Value &lhs, const Value &rhs) { return lhs + rhs; } static Value inv(const Value &x) { return -x; } }; template struct Mul { using Value = T; static Value id() { return Value(1); } static Value op(const Value &lhs, const Value &rhs) { return lhs * rhs; } static Value inv(const Value &x) { return Value(1) / x; } }; template struct Min { using Value = T; static Value id() { return std::numeric_limits::max(); } static Value op(const Value &lhs, const Value &rhs) { return std::min(lhs, rhs); } }; template struct Max { using Value = T; static Value id() { return std::numeric_limits::min(); } static Value op(const Value &lhs, const Value &rhs) { return std::max(lhs, rhs); } }; template struct Xor { using Value = T; static Value id() { return T(0); } static Value op(const Value &lhs, const Value &rhs) { return lhs ^ rhs; } static Value inv(const Value &x) { return x; } }; template struct Reversible { using Value = std::pair; static Value id() { return Value(Monoid::id(), Monoid::id()); } static Value op(const Value &v1, const Value &v2) { return Value( Monoid::op(v1.first, v2.first), Monoid::op(v2.second, v1.second)); } }; // ============ template class FenwickTree { public: using Value = typename CommutativeGroup::Value; private: std::vector data; public: FenwickTree(int n) : data(n, CommutativeGroup::id()) {} void add(int idx, const Value &x) { assert(idx >= 0 && idx < (int) data.size()); for (; idx < (int) data.size(); idx |= idx + 1) { data[idx] = CommutativeGroup::op(data[idx], x); } } Value sum(int r) const { assert(r >= 0 && r <= (int) data.size()); Value ret = CommutativeGroup::id(); for (; r > 0; r &= r - 1) { ret = CommutativeGroup::op(ret, data[r - 1]); } return ret; } Value sum(int l, int r) const { assert(l >= 0 && l <= r && r <= (int) data.size()); return CommutativeGroup::op(sum(r), CommutativeGroup::inv(sum(l))); } }; template using FenwickTreeAdd = FenwickTree>; // ============ int main() { i32 n; i64 m; cin >> n >> m; Vec p(n); REP(i, n) { cin >> p[i]; --p[i]; } FenwickTreeAdd fw(n); i64 inv = 0; REP(i, n) { inv += fw.sum(p[i] + 1, n); fw.add(p[i], 1); } if (inv % 2 == 1 && m % 2 == 0) { cout << -1 << '\n'; } else { i64 k = (inv + m - 1) / m * m; if (k % 2 != inv % 2) { k += m; } cout << k << '\n'; } }