結果

問題 No.2059 Odd Move Nim
ユーザー noya2
提出日時 2025-03-07 02:25:07
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 26 ms / 2,000 ms
コード長 6,125 bytes
コンパイル時間 4,565 ms
コンパイル使用メモリ 291,484 KB
実行使用メモリ 8,608 KB
最終ジャッジ日時 2025-03-07 02:25:14
合計ジャッジ時間 6,105 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
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ファイルパターン 結果
sample AC * 2
other AC * 21
権限があれば一括ダウンロードができます

ソースコード

diff # 

#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;

#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
    os << p.first << " " << p.second;
    return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
    is >> p.first >> p.second;
    return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
    int s = (int)v.size();
    for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
    return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
    for (auto &x : v) is >> x;
    return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
    cin >> t;
    in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
    cout << t;
    if (sizeof...(u)) cout << sep;
    out(u...);
}

template<typename T>
void out(const vector<vector<T>> &vv){
    int s = (int)vv.size();
    for (int i = 0; i < s; i++) out(vv[i]);
}

struct IoSetup {
    IoSetup(){
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(7);
    }
} iosetup_noya2;

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{

const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 =  998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }

} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"

#line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"

namespace noya2{

unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
    if (a == 0 || b == 0) return a + b;
    int n = __builtin_ctzll(a); a >>= n;
    int m = __builtin_ctzll(b); b >>= m;
    while (a != b) {
        int mm = __builtin_ctzll(a - b);
        bool f = a > b;
        unsigned long long c = f ? a : b;
        b = f ? b : a;
        a = (c - b) >> mm;
    }
    return a << std::min(n, m);
}

template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(std::abs(a),std::abs(b))); }

long long sqrt_fast(long long n) {
    if (n <= 0) return 0;
    long long x = sqrt(n);
    while ((x + 1) * (x + 1) <= n) x++;
    while (x * x > n) x--;
    return x;
}

template<typename T> T floor_div(const T n, const T d) {
    assert(d != 0);
    return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}

template<typename T> T ceil_div(const T n, const T d) {
    assert(d != 0);
    return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}

template<typename T> void uniq(std::vector<T> &v){
    std::sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}

template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }

template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }

template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }

} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"

#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()

using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;

namespace noya2{

/*　~ (. _________ . /)　*/

}

using namespace noya2;


#line 2 "c.cpp"

map<vector<int>,int> mp;

// 0 : first win
// 1 : second win
int win(vector<int> a){
    if (mp.contains(a)) return mp[a];
    int n = a.size();
    rep(i,n){
        if (a[i] == 0) continue;
        for (int j = 1; i-j >= 0; j += 2){
            for (int x = 1; x <= a[i]; x++){
                auto na = a;
                na[i] -= x;
                na[i-j] += x;
                if (win(na) == 1){
                    return mp[a] = 0;
                }
            }
        }
    }
    return mp[a] = 1;
}

int pred(vector<int> a){
    int n = a.size();
    // int cnt = 0;
    int gr = 0;
    rep(i,n){
        if (i % 2 == 0){
            continue;
        }
        // cnt ^= (a[i] % 2);
        // cnt ^= int(a[i] > 0);
        gr ^= a[i];
    }
    // return cnt ^ 1;
    return int(gr == 0);
}

void jikken1(){
    int n; in(n);
    int m; in(m);
    map<vector<int>,int> memo;
    auto check = [&](vector<int> a){
        vector<int> b;
        for (int i = 1; i < n; i += 2){
            b.emplace_back(a[i]);
        }
        int w = win(a);
        if (memo.contains(b)){
            assert(memo[b] == w);
        }
        else {
            memo[b] = w;
            out(b,":",w,pred(a));
        }
    };
    vector<int> a(n);
    auto dfs = [&](auto sfs, int i) -> void {
        if (i >= n){
            // out(a,":",win(a),pred(a));
            check(a);
            return ;
        }
        for (int x = 0; x <= m; x++){
            a[i] = x;
            sfs(sfs,i+2);
        }
    };
    dfs(dfs,1);
}

void solve(){
    // jikken1(); return ;
    int n; in(n);
    vector<int> a(n); in(a);
    int gr = 0;
    rep(i,n){
        if (i % 2 == 0) continue;
        gr ^= a[i];
    }
    out(gr > 0 ? "Alice" : "Bob");
}

int main(){
    int t = 1; //in(t);
    while (t--) { solve(); }
}
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