Sqrt Nim

#include <bits/stdc++.h>
using namespace std;
// type
#define int long long
typedef long long ll;
typedef long double ld;
// loop
//#define For(i, l, r, x)     for (int i = l; i < r; i+=x)
//#define ForE(i, l, r, x)    for (int i = l; i <= r; i+=x)
//#define Ford(i, r, l)       for (int i = r; i > l; i--)
//#define FordE(i, r, l)      for (int i = r; i >= l; i--)
//#define Fora(i, a)          for (auto i : a)
// I/O 
#define openfile(file)      freopen(file".in", "r", stdin); freopen(file".out", "w", stdout);
#define testinput(file)     freopen(file".txt", "r", stdin); 
#define FAST_IO             std::ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
//#define PrintV(a)           Fora(ii, a) cout << ii << ' '; cout << rl;
//#define PrintVl(a)          Fora(ii, a) cout << ii << rl;
//#define PrintA(a, l, r)     for (int ii = l; ii <= r; ii++) cout << a[ii] << ' '; cout << rl;
//#define PrintAl(a, l, r)    for (int ii = l; ii <= r; ii++) cout << a[ii] << rl;
//#define Ptest(x)            return cout << x, 0;
#define setpre(n)           fixed << setprecision(n)
// pair
#define F                   first
#define S                   second
#define pii                 pair<int, int>
#define pll                 pair<ll, ll>
#define pdd                 pair<ld, ld>
// vector & !!?(string)
#define eb                  emplace_back
#define pb                  push_back
#define all(a)              a.begin(), a.end()
#define rall(a)             a.rbegin(), a.rend()
#define sz(a)               a.size()
#define len(a)              a.length()
// geometry calc    
#define pi                  acos(-1.0)
#define g_sin(a)            sin(a*pi/180)
#define g_cos(a)            cos(a*pi/180)
#define g_tan(a)            tan(a*pi/180)
// set val
#define ms0(a)              memset(a,        0, sizeof(a));
#define ms1(a)              memset(a,        1, sizeof(a));
#define msn1(a)             memset(a,       -1, sizeof(a));
#define msinf(a)            memset(a, 0x3f3f3f, sizeof(a));
// constant
const int mod1 = 998244353, mod = 1e9+7;
const int MAXN = 1000005, MAXM = 200010;
// code
void Solve(){
    ll n, p[60]; p[0] = 1;
    for (int i = 1; i < 60; ++ i) p[i] = p[i - 1] * 2ll;
    cin >> n;
    
    ll sum = 0, K = 0;
    while (true) {
        K ++;
        sum += p[K] + 3 * p[K] * (p[K] - 1);
        //cout << p[K] + (p[K] + p[K + 1]) * (p[K + 1] - p[K] - 1) << endl;
        //cout << pow(p[K + 1], 2) - pow(p[K], 2) - p[K + 1] << endl;
        if (sum >= n) break;
    }
    
    sum -= p[K] + 3 * p[K] * (p[K] - 1);
    n -= sum;
    
    //cout << n << endl;
    
    if (n <= p[K]) {
        if (n == p[K]) 
            cout << "LOSE";
        else 
            cout << "WIN";
    } else {
        n -= p[K];
        ll l = 1, r = p[K] - 1;
        while (l < r) {
            ll mid = (l + r - 1) / 2;
            ll tmp = 2ll * (p[K] * mid + (mid + 1) * mid / 2);
            if (tmp >= n) r = mid;
            else l = mid + 1;
        }
        ll tmp = 2ll * (p[K] * (l - 1) + (l - 1) * l / 2);
        if (n == tmp + p[K] + l || n == tmp + p[K] * 2 + l * 2) 
            cout << "LOSE";
        else 
            cout << "WIN";
    }
}

signed main(){
    freopen("nim.in", "r", stdin); freopen("nim.out", "w", stdout);
    FAST_IO;
    int TC = 1;
	//cin >> TC;
    while(TC--) Solve();
    cerr << "Time elapsed : " << 1.0 * clock() / CLOCKS_PER_SEC << " sec \n";
    return 0;
}