#pragma GCC optimize("O2") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define int ll #define INT128_MAX (__int128)(((unsigned __int128) 1 << ((sizeof(__int128) * __CHAR_BIT__) - 1)) - 1) #define INT128_MIN (-INT128_MAX - 1) #ifdef DEBUG #define dbg(x) cout << (#x) << " = " << x << '\n' #else #define dbg(x) #endif namespace R = std::ranges; namespace V = std::views; using namespace std; using ll = long long; using ull = unsigned long long; using ldb = long double; //#define double ldb template ostream& operator<<(ostream& os, const array &arr) { for(const T &X : arr) os << X << ' '; return os; } template ostream& operator<<(ostream& os, const vector &vec) { for(const T &X : vec) os << X << ' '; return os; } template ostream& operator<<(ostream& os, const set &s) { for(const T &x : s) os << x << ' '; return os; } /** * template name: mint * author: Misuki * last update: 2022/06/01 * note: inversion only works when MOD is a prime */ struct mint { static long long MOD; long long _val; mint(long long init = 0) { _val = init % MOD; (*this).norm(); } mint POW(long long index) { if (index == 0) return mint(1ll); mint base = *this; mint res = (base == 0ll ? 0ll : 1ll); while(index) { if (index & 1) res *= base; base *= base, index >>= 1; } return res; } mint inv() { return (*this).POW(MOD - 2); } mint& norm() { if (_val >= MOD) _val -= MOD; if (_val < 0) _val += MOD; return *this; } mint& operator+=(mint b) { _val += b._val; return (*this).norm(); } mint& operator-=(mint b) { _val -= b._val; return (*this).norm(); } mint& operator*=(mint b) { _val = (_val * b._val) % MOD; return *this; } mint& operator/=(mint b) { _val = (_val * b.inv()._val) % MOD; return *this; } mint& operator++() { _val += 1; return (*this).norm(); } mint& operator--() { _val -= 1; return (*this).norm(); } mint operator++(signed) { mint tmp = *this; ++(*this); return tmp; } mint operator--(signed) { mint tmp = *this; --(*this); return tmp; } mint operator-() { return mint(-_val); } bool operator==(mint b) { return _val == b._val; } bool operator!=(mint b) { return _val != b._val; } friend mint operator+(mint a, mint b) { return a += b; } friend mint operator-(mint a, mint b) { return a -= b; } friend mint operator*(mint a, mint b) { return a *= b; } friend mint operator/(mint a, mint b) { return a /= b; } friend ostream& operator<<(ostream& os, const mint& b) { return os << b._val; } friend istream& operator>>(istream& is, mint& b) { long long val; is >> val; b = mint(val); return is; } }; ll mint::MOD = 2; void chmin(int &a, int b) { a = min(a, b); } signed main() { ios::sync_with_stdio(false), cin.tie(NULL); int n; cin >> n >> mint::MOD; vector a(n + 2), b(n + 2); for(int i = 1; i <= n; i++) cin >> a[i]; for(int i = 1; i <= n; i++) cin >> b[i]; auto f = [&](int i, int j) { if (i == 0 or i == n + 1) return 0ll; else if (j == 0) return b[i] - a[i]; else if (j == 1) return b[i] + mint::MOD - a[i]; else return b[i] - mint::MOD - a[i]; }; array dp = {}; for(int i = 0; i <= n; i++) { array tmp = {LLONG_MAX, LLONG_MAX, LLONG_MAX}; for(int j : {0, 1, 2}) for(int k : {0, 1, 2}) chmin(tmp[k], dp[j] + abs(f(i + 1, k) - f(i, j))); dp.swap(tmp); } cout << R::min(dp) / 2 << '\n'; return 0; }