#include using namespace std; using ll = long long; using ld = long double; // -------------------------------------------------------- #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 P0(i) (((i) & 1) == 0) #define P1(i) (((i) & 1) == 1) #ifdef _LOCAL #define debug_bar cerr << "--------------------\n"; #define debug(x) cerr << "l." << __LINE__ << " : " << #x << " = " << (x) << '\n' #define debug_pair(x) cerr << "l." << __LINE__ << " : " << #x << " = (" << x.first << "," << x.second << ")\n"; template void debug_line(const vector& ans, int l, int r, int L = 0) { cerr << "l." << L << " :"; for (int i = l; i < r; i++) { cerr << ' ' << ans[i]; } cerr << '\n'; } #else #define cerr if (false) cerr #define debug_bar #define debug(x) #define debug_pair(x) template void debug_line([[maybe_unused]] const vector& ans, [[maybe_unused]] int l, [[maybe_unused]] int r, [[maybe_unused]] int L = 0) {} #endif template void input(T&... a) { (cin >> ... >> a); } void print() { cout << '\n'; } template void print(const T& a) { cout << a << '\n'; } template void print(const T& a, const Ts&... b) { cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void cout_line(const vector& ans, int l, int r) { for (int i = l; i < r; i++) { if (i != l) { cout << ' '; } cout << ans[i]; } cout << '\n'; } template bool chmin(T& a, const T b) { if (b < a) { a = b; return 1; } return 0; } template bool chmax(T& a, const T b) { if (a < b) { a = b; return 1; } return 0; } pair divmod(ll a, ll b) { assert(a >= 0 && b > 0); return make_pair(a / b, a % b); } ll mod(ll x, ll m) { assert(m != 0); return (x % m + m) % m; } ll llceil(ll a, ll b) { if (b < 0) { return llceil(-a, -b); } assert(b > 0); return (a < 0 ? a / b : (a + b - 1) / b); } ll llfloor(ll a, ll b) { if (b < 0) { return llfloor(-a, -b); } assert(b > 0); return (a > 0 ? a / b : (a - b + 1) / b); } ll llpow(ll x, ll n) { assert(n >= 0); if (n == 0) { return 1; }; ll res = llpow(x, n>>1); res *= res; if (n & 1) { res *= x; } return res; } ll bitlen(ll b) { if (b <= 0) { return 0; } return (64LL - __builtin_clzll(b)); } ll digit_len(ll n) { assert(n >= 0); if (n == 0) { return 1; } ll sum = 0; while (n > 0) { sum++; n /= 10; } return sum; } ll digit_sum(ll n) { assert(n >= 0); ll sum = 0; while (n > 0) { sum += n % 10; n /= 10; } return sum; } ll digit_prod(ll n) { assert(n >= 0); if (n == 0) { return 0; } ll prod = 1; while (n > 0) { prod *= n % 10; n /= 10; } return prod; } ll xor_sum(ll x) { assert(0 <= x); switch (x % 4) { case 0: return x; case 1: return 1; case 2: return x ^ 1; case 3: return 0; } assert(false); } string toupper(const string& S) { string T(S); for (int i = 0; i < (int)T.size(); i++) { T[i] = toupper(T[i]); } return T; } string tolower(const string& S) { string T(S); for (int i = 0; i < (int)T.size(); i++) { T[i] = tolower(T[i]); } return T; } int a2i(const char& c) { assert(islower(c)); return (c - 'a'); } int A2i(const char& c) { assert(isupper(c)); return (c - 'A'); } int d2i(const char& d) { assert(isdigit(d)); return (d - '0'); } char i2a(const int& i) { assert(0 <= i && i < 26); return ('a' + i); } char i2A(const int& i) { assert(0 <= i && i < 26); return ('A' + i); } char i2d(const int& i) { assert(0 <= i && i <= 9); return ('0' + i); } using P = pair; using VP = vector

; using VVP = vector; using VS = vector; using VVS = vector; using VI = vector; using VVI = vector; using VVVI = 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; const ld EPS = 1e-10; const ld PI = acosl(-1.0); constexpr ll MOD = 1000000007; // constexpr ll MOD = 998244353; constexpr int inf = (1 << 30) - 1; // 1073741824 - 1 constexpr ll INF = (1LL << 62) - 1; // 4611686018427387904 - 1 // -------------------------------------------------------- // #include // using namespace atcoder; // References: // /** * @brief Mex : amortized O(1) * */ struct Mex { int n = 0; int mex = 0; const int max_limit = numeric_limits::max(); vector used; vector v; Mex() : used(1, false) {} void add(ll x) { assert(x >= 0); if (max_limit < x) { return; } int size = used.size(); n++; // 2^n のタイミングで領域拡張 if (n == size) { size *= 2; used.resize(size); // v < 2^{n+1} を満たす v を used に反映 int i = 0; while (i < (int)v.size()) { if (v[i] < size) { used[v[i]] = true; swap(v[i], v.back()); v.pop_back(); } else { i++; } } } // 追加処理 if (x < size) { used[x] = true; } else { v.emplace_back(x); } } int query() { while (used[mex]) { mex++; } return mex; } }; // エラトステネスの篩 struct eratosthenes { public: // 前計算 : O(N log log N) eratosthenes(int N) : N(N) { D.resize(N+1); iota(D.begin(), D.end(), 0); for (int p : {2, 3, 5}) { for (int i = p*p; i <= N; i += p) { D[i] = p; } } vector inc = {4, 2, 4, 2, 4, 6, 2, 6}; int p = 7, idx = 0; int root = floor(sqrt(N) + 0.5); while (p <= root) { if (D[p] == p) { for (int i = p*p; i <= N; i += p) { D[i] = p; } } p += inc[idx++]; if (idx == 8) { idx = 0; } } } // 素数判定 : O(1) bool is_prime(int x) const { assert(1 <= x && x <= N); if (x == 1) { return false; } return D[x] == x; } // 素因数分解 : O(log x), 厳密には O(Σi ei) vector> factorize(int x) const { assert(1 <= x && x <= N); vector> F; while (x != 1) { int p = D[x]; int e = 0; while (x % p == 0) { x /= p; e++; } F.emplace_back(p, e); } return F; } // 約数列挙 : O(Πi(1+ei)) // ※ ソートされていないことに注意 vector calc_divisors(int x) const { assert(1 <= x && x <= N); int n = 1; // 約数の個数 vector> F; while (x != 1) { int p = D[x]; int e = 0; while (x % p == 0) { x /= p; e++; } F.emplace_back(p, e); n *= (1 + e); } vector divisors(n,1); int sz = 1; // 現在の約数の個数 for (const auto& [p, e] : F) { for (int i = 0; i < sz * e; i++) { divisors[sz + i] = divisors[i] * p; } sz *= (1 + e); } return divisors; } private: int N; vector D; // 最小素因数 (minimum prime factor) }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); ll N; input(N); int MX = 1e4; eratosthenes era(MX); VLL P; VLL nim(N+1,1); FOR(i,2,N+1) { if (era.is_prime(i)) P.push_back(i); Mex mex; for (auto p : P) mex.add(nim[i-p]); nim[i] = mex.query(); } string ans = (nim[N] == 0 ? "Lose" : "Win"); print(ans); return 0; }