結果

問題 No.1665 quotient replace
ユーザー raven7959
提出日時 2022-06-24 21:14:47
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 303 ms / 3,000 ms
コード長 3,877 bytes
コンパイル時間 2,503 ms
コンパイル使用メモリ 210,468 KB
最終ジャッジ日時 2025-01-30 00:00:19
ジャッジサーバーID
（参考情報） 		judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 41
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 #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,fma,abm,mmx,avx,avx2")
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n - 1); i >= 0; i--)
#define all(x) (x).begin(), (x).end()
#define sz(x) int(x.size())
#define yn(joken) cout<<((joken) ? "Yes" : "No")<<"\n"
#define YN(joken) cout<<((joken) ? "YES" : "NO")<<"\n"
using namespace std;
using ll = long long;
using vi = vector<int>;
using vl = vector<ll>;
using vs = vector<string>;
using vc = vector<char>;
using vd = vector<double>;
using vld = vector<long double>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<ll>>;
using vvs = vector<vector<string>>;
using vvc = vector<vector<char>>;
using vvd = vector<vector<double>>;
using vvld = vector<vector<long double>>;
using vvvi = vector<vector<vector<int>>>;
using vvvl = vector<vector<vector<ll>>>;
using vvvvi = vector<vector<vector<vector<int>>>>;
using vvvvl = vector<vector<vector<vector<ll>>>>;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
const int INF = 1e9;
const ll LINF = 2e18;
template <class T>
bool chmax(T& a, const T& b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T>
bool chmin(T& a, const T& b) {
    if (b < a) {
        a = b;
        return 1;
    }
    return 0;
}
bool ispow2(int i) { return i && (i & -i) == i; }
bool ispow2(ll i) { return i && (i & -i) == i; }
template <class T>
vector<T> make_vec(size_t a) {
    return vector<T>(a);
}
template <class T, class... Ts>
auto make_vec(size_t a, Ts... ts) {
    return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}
template <typename T>
istream& operator>>(istream& is, vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        is >> v[i];
    }
    return is;
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        os << v[i];
        if (i < int(v.size()) - 1) os << ' ';
    }
    return os;
}
static uint32_t RandXor(){
    static uint32_t x=123456789;
    static uint32_t y=362436069;
    static uint32_t z=521288629;
    static uint32_t w=88675123;
    uint32_t t;
 
    t=x^(x<<11);
    x=y; y=z; z=w;
    return w=(w^(w>>19))^(t^(t>>8));
}
static double Rand01(){
    return (RandXor()+0.5)*(1.0/UINT_MAX);
}
struct sieve{
    vector<bool> is_prime;
    vector<int> min_factor,primes;
    sieve(int N): is_prime(N+1,true),min_factor(N+1,-1){
        is_prime[1]=false;
        min_factor[1]=1;
        for(int i=2;i<=N;i++){
            if(!is_prime[i]) continue;
            primes.push_back(i);
            min_factor[i]=i;
            for(int j=i;j<=N;j+=i){
                if(j!=i) is_prime[j]=false;
                if(min_factor[j]==-1) min_factor[j]=i;
            }
        }
    }
    vector<pair<int,int>> factorize(int n){
        vector<pair<int,int>> ret;
        while(n>1){
            int p=min_factor[n];
            int e=0;
            while(n%p==0){
                e++;
                n/=p;
            }
            ret.emplace_back(p,e);
        }
        return ret;
    }
    vector<int> divisors(int n){
        vector<int> ret={1};
        for(auto [p,e]:factorize(n)){
            int cnt=int(ret.size());
            for(int i=0;i<cnt*e;i++) ret.emplace_back(ret[i]*p);
        }
        sort(ret.begin(),ret.end());
        return ret;
    }
};
void solve(){
    int N;
    cin>>N;
    vi A(N);
    cin>>A;
    sieve SE(1000000);
    int g=0;
    rep(i,N){
        if(A[i]==1) continue;
        auto ret=SE.factorize(A[i]);
        int tmp=0;
        for(auto [p,e]:ret){
            tmp+=e;
        }
        g^=tmp;
    }
    cout<<(g ? "white" : "black" )<<endl;
}
int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    solve();
}
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