結果

問題 No.1746 Sqrt Integer Segments
ユーザー oteraotera
提出日時 2021-11-17 05:41:03
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 418 ms / 2,000 ms
コード長 7,480 bytes
コンパイル時間 2,611 ms
コンパイル使用メモリ 225,024 KB
実行使用メモリ 29,696 KB
最終ジャッジ日時 2023-10-11 10:27:15
合計ジャッジ時間 10,702 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge14
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 71 ms
16,316 KB
testcase_01 AC 70 ms
16,332 KB
testcase_02 AC 288 ms
25,840 KB
testcase_03 AC 176 ms
21,600 KB
testcase_04 AC 228 ms
23,284 KB
testcase_05 AC 400 ms
29,548 KB
testcase_06 AC 153 ms
20,424 KB
testcase_07 AC 93 ms
17,692 KB
testcase_08 AC 302 ms
25,532 KB
testcase_09 AC 403 ms
29,504 KB
testcase_10 AC 150 ms
20,140 KB
testcase_11 AC 362 ms
28,108 KB
testcase_12 AC 394 ms
29,404 KB
testcase_13 AC 408 ms
29,476 KB
testcase_14 AC 404 ms
29,536 KB
testcase_15 AC 418 ms
29,696 KB
testcase_16 AC 393 ms
29,476 KB
testcase_17 AC 244 ms
24,476 KB
testcase_18 AC 80 ms
17,104 KB
testcase_19 AC 79 ms
17,016 KB
testcase_20 AC 82 ms
17,036 KB
testcase_21 AC 91 ms
16,844 KB
testcase_22 AC 90 ms
16,700 KB
testcase_23 AC 81 ms
16,612 KB
testcase_24 AC 113 ms
17,012 KB
testcase_25 AC 114 ms
17,072 KB
testcase_26 AC 113 ms
17,104 KB
testcase_27 AC 176 ms
17,116 KB
testcase_28 AC 174 ms
17,052 KB
testcase_29 AC 176 ms
17,052 KB
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 # 

/**
 *    author:  otera
 *    created: 17.11.2021 05:18:13 
**/
#include<bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;
using ull = unsigned long long;
using uint = unsigned;
#define repa(i, n) for(int i = 0; i < n; ++ i)
#define repb(i, a, b) for(int i = a; i < b; ++ i)
#define repc(i, a, b, c) for(int i = a; i < b; i += c)
#define overload4(a, b, c, d, e, ...) e
#define rep(...) overload4(__VA_ARGS__, repc, repb, repa)(__VA_ARGS__)
#define rep1a(i, n) for(int i = 0; i <= n; ++ i)
#define rep1b(i, a, b) for(int i = a; i <= b; ++ i)
#define rep1c(i, a, b, c) for(int i = a; i <= b; i += c)
#define rep1(...) overload4(__VA_ARGS__, rep1c, rep1b, rep1a)(__VA_ARGS__)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define per1(i,n) for(int i=n;i>=1;i--)
typedef pair<int, int> P;
typedef pair<ll, ll> LP;
#define pb push_back
#define eb emplace_back
#define fr first
#define sc second
#define all(c) c.begin(),c.end()
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define Sort(a) sort(all(a))
#define Rev(a) reverse(all(a))
#define Uniq(a) sort(all(a));a.erase(unique(all(a)),end(a))
#define si(c) (int)(c).size()
inline ll popcnt(ull a){ return __builtin_popcountll(a); }
#define tpow(n) (1LL<<(n))
#define unless(A) if(!(A))
ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; }
ll intpow(ll a, ll b, ll m) {ll ans = 1; while(b){ if(b & 1) (ans *= a) %= m; (a *= a) %= m; b /= 2; } return ans; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)
#define vec(type,name,...) vector<type>name(__VA_ARGS__)
#define VEC(type,name,size) vector<type>name(size);in(name)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define VV(type,name,h,w) vector<vector<type>>name(h,vector<type>(w));in(name)
#define vvv(type,name,h,w,...) vector<vector<vector<type>>>name(h,vector<vector<type>>(w,vector<type>(__VA_ARGS__)))
template <class T> using vc = vector<T>;
template <class T> using vvc = vector<vc<T>>;
template <class T> using vvvc = vector<vvc<T>>;
template <class T> using vvvvc = vector<vvvc<T>>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
template<class T> void scan(T& a){ cin >> a; }
template<class T> void scan(vector<T>& a){ for(auto&& i : a) scan(i); }
void in(){}
template <class Head, class... Tail> void in(Head& head, Tail&... tail){ scan(head); in(tail...); }
void print(){ cout << ' '; }
template<class T> void print(const T& a){ cout << a; }
template<class T> void print(const vector<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout << ' '; print(*i); } }
int out(){ cout << '\n'; return 0; }
template<class T> int out(const T& t){ print(t); cout << '\n'; return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); cout << ' '; out(tail...); return 0; }
#define CHOOSE(a) CHOOSE2 a
#define CHOOSE2(a0,a1,a2,a3,a4,x,...) x
#define debug_1(x1) cout<<#x1<<": "<<x1<<endl
#define debug_2(x1,x2) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<endl
#define debug_3(x1,x2,x3) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<endl
#define debug_4(x1,x2,x3,x4) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<endl
#define debug_5(x1,x2,x3,x4,x5) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<", "#x5<<": "<<x5<<endl
#ifdef DEBUG
#define debug(...) CHOOSE((__VA_ARGS__,debug_5,debug_4,debug_3,debug_2,debug_1,~))(__VA_ARGS__)
#define dump(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); }
#else
#define debug(...)
#define dump(...)
#endif

// #define int long long

// isprime[n] := is n prime?
// mebius[n] := mebius value of n
// min_factor[n] := the min prime-factor of n
struct Eratos {
    vector<int> primes;
    vector<bool> isprime;
    vector<int> mebius;
    vector<int> min_factor;

    Eratos(int MAX) : primes(),
                      isprime(MAX+1, true),
                      mebius(MAX+1, 1),
                      min_factor(MAX+1, -1) {
        isprime[0] = isprime[1] = false;
        min_factor[0] = 0, min_factor[1] = 1;
        for (int i = 2; i <= MAX; ++i) {
            if (!isprime[i]) continue;
            primes.push_back(i);
            mebius[i] = -1;
            min_factor[i] = i;
            for (int j = i*2; j <= MAX; j += i) {
                isprime[j] = false;
                if ((j / i) % i == 0) mebius[j] = 0;
                else mebius[j] = -mebius[j];
                if (min_factor[j] == -1) min_factor[j] = i;
            }
        }
    }

    // prime factorization
    vector<pair<int,int>> prime_factors(int n) {
        vector<pair<int,int> > res;
        while (n != 1) {
            int prime = min_factor[n];
            int exp = 0;
            while (min_factor[n] == prime) {
                ++exp;
                n /= prime;
            }
            res.push_back(make_pair(prime, exp));
        }
        return res;
    }

    // enumerate divisors
    vector<int> divisors(int n) {
        vector<int> res({1});
        auto pf = prime_factors(n);
        for (auto p : pf) {
            int n = (int)res.size();
            for (int i = 0; i < n; ++i) {
                int v = 1;
                for (int j = 0; j < p.second; ++j) {
                    v *= p.first;
                    res.push_back(res[i] * v);
                }
            }
        }
        return res;
    }
};

const int MAX = 1'001'000;

void solve() {
    INT(n);
    assert(1 <= n and n <= 200'000);
    VEC(int, a, n);
    rep(i, n) {
        assert(1 <= a[i] and a[i] <= 1'000'000);
    }
    Eratos er(MAX);
    // map<set<int>, int> mp;
    ll ans = 0;
    map<int, int> now;
    // https://blog.hamayanhamayan.com/entry/2017/05/24/154618
    map<ll, int> mp;
    random_device seed_gen;
    mt19937_64 rng(seed_gen());
    uniform_int_distribution<ll> dist(1, 1LL<<60);
    map<int, ll> hashs;
    rep(i, MAX) {
        if(er.isprime[i]) {
            hashs[i] = dist(rng);
        }
    }
    // set<int> se;
    // mp[se] ++;
    ll hash = 0;
    mp[hash] ++;
    rep(i, n) {
        for(auto [p, exp]: er.prime_factors(a[i])) {
            if(exp % 2 == 0) continue;
            // now[p] += exp;
            // now[p] %= 2;
            hash ^= hashs[p];
            debug(p, hashs[p]);
            // if(now[p] == 0) {
            //     // se.erase(p);
            //     hash ^= hashs[p];
            // }
            // else {
            //     // se.insert(p);

            // }
        }
        ans += (ll)mp[hash] ++;
        debug(mp[hash]);
        // debug(mp[se]);
        // ans += (ll)mp[se] ++;
    }
    out(ans);
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    // cout << fixed << setprecision(20);
    // INT(t); rep(i, t)solve();
    solve();
    return 0;
}
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