#include using namespace std; using ll = long long; using ld = long double; // -------------------------------------------------------- template bool chmax(T& a, const T b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T b) { if (b < a) { a = b; return 1; } return 0; } #define FOR(i,l,r) for (ll i = (l); i < (r); ++i) #define RFOR(i,l,r) for (ll i = (r)-1; (l) <= i; --i) #define REP(i,n) FOR(i,0,n) #define RREP(i,n) RFOR(i,0,n) #define ALL(c) (c).begin(), (c).end() #define RALL(c) (c).rbegin(), (c).rend() #define SORT(c) sort(ALL(c)) #define RSORT(c) sort(RALL(c)) #define MIN(c) *min_element(ALL(c)) #define MAX(c) *max_element(ALL(c)) #define SUMLL(c) accumulate(ALL(c), 0LL) #define COUNT(c,v) count(ALL(c),(v)) #define SZ(c) ((ll)(c).size()) #define BIT(b,i) (((b)>>(i)) & 1) #define PCNT(b) __builtin_popcountll(b) #define CIN(c) cin >> (c) #define COUT(c) cout << (c) << '\n' #define debug(x) cerr << "l." << __LINE__ << " : " << #x << " = " << (x) << '\n' ll llceil(ll a, ll b) { return (a + b - 1) / b; } ll bitlen(ll b) { if (b <= 0) { return 0; } return (64LL - __builtin_clzll(b)); } string toupper(const string& S) { string T(S); REP(i,SZ(T)) T[i] = toupper(T[i]); return T; } string tolower(const string& S) { string T(S); REP(i,SZ(T)) T[i] = tolower(T[i]); return T; } template void cout_line(const vector& ans, ll l, ll r) { for (ll i = l; i < r; i++) { if (i != l) { cout << " "; } cout << ans[i]; } cout << '\n'; } template void debug_line(const vector& ans, ll l, ll r, ll L = 0) { cerr << "l." << L << " :"; for (ll i = l; i < r; i++) { cerr << " " << ans[i]; } cerr << '\n'; } using P = pair; using VP = vector

; using VVP = vector; using VS = vector; using VVS = vector; using VLL = vector; using VVLL = vector; using VVVLL = vector; using VB = vector; using VVB = vector; using VVVB = vector; using VD = vector; using VVD = vector; using VVVD = vector; using VLD = vector; using VVLD = vector; using VVVLD = vector; static const double EPS = 1e-10; static const double PI = acos(-1.0); static const ll MOD = 1000000007; // static const ll MOD = 998244353; static const ll INF = (1LL << 62) - 1; // 4611686018427387904 - 1 // -------------------------------------------------------- // #include // using namespace atcoder; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); ll N, K, P; cin >> N >> K >> P; VLL A(N); REP(i,N) { cin >> A[i]; A[i] %= P; } VLL B(N); REP(i,N) { cin >> B[i]; B[i] %= P; } SORT(A); SORT(B); ll v = P - 1; ll ok = P - 1; ll ng = -1; while (ok - ng > 1) { ll m = (ok + ng) / 2; bool is_ok = [&]() -> bool { // v 以下の数を数える ll sum = 0; for (ll b : B) { // [0, v] { auto it1 = lower_bound(ALL(A), 0 - b); auto it2 = upper_bound(ALL(A), m - b); sum += it2 - it1; } // [P, P+v] { auto it1 = lower_bound(ALL(A), P+0 - b); auto it2 = upper_bound(ALL(A), P+m - b); sum += it2 - it1; } } bool ok = (K <= sum); if (ok) v = m; return ok; }(); (is_ok ? ok : ng) = m; } ll ans = v; COUT(ans); return 0; }