結果

問題 No.1746 Sqrt Integer Segments
ユーザー tokusakuraitokusakurai
提出日時 2021-11-20 10:45:40
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 274 ms / 2,000 ms
コード長 8,863 bytes
コンパイル時間 2,279 ms
コンパイル使用メモリ 214,740 KB
実行使用メモリ 31,336 KB
最終ジャッジ日時 2023-10-11 10:41:54
合計ジャッジ時間 7,751 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge15
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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 20 ms
18,852 KB
testcase_01 AC 19 ms
18,808 KB
testcase_02 AC 215 ms
27,764 KB
testcase_03 AC 97 ms
23,608 KB
testcase_04 AC 133 ms
25,208 KB
testcase_05 AC 254 ms
31,052 KB
testcase_06 AC 80 ms
22,760 KB
testcase_07 AC 35 ms
20,172 KB
testcase_08 AC 177 ms
27,632 KB
testcase_09 AC 266 ms
31,216 KB
testcase_10 AC 72 ms
22,288 KB
testcase_11 AC 237 ms
29,956 KB
testcase_12 AC 270 ms
31,224 KB
testcase_13 AC 272 ms
31,216 KB
testcase_14 AC 258 ms
31,156 KB
testcase_15 AC 264 ms
31,328 KB
testcase_16 AC 274 ms
31,336 KB
testcase_17 AC 153 ms
26,580 KB
testcase_18 AC 31 ms
18,648 KB
testcase_19 AC 30 ms
18,612 KB
testcase_20 AC 31 ms
18,736 KB
testcase_21 AC 40 ms
18,724 KB
testcase_22 AC 39 ms
18,752 KB
testcase_23 AC 30 ms
18,600 KB
testcase_24 AC 58 ms
18,552 KB
testcase_25 AC 59 ms
18,652 KB
testcase_26 AC 58 ms
18,920 KB
testcase_27 AC 74 ms
18,916 KB
testcase_28 AC 73 ms
18,732 KB
testcase_29 AC 73 ms
18,864 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 # 

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < n; i++)
#define rep2(i, x, n) for (int i = x; i <= n; i++)
#define rep3(i, x, n) for (int i = x; i >= n; i--)
#define each(e, v) for (auto &e : v)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;

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

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

template <typename T>
int flg(T x, int i) {
    return (x >> i) & 1;
}

template <typename T>
void print(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
    if (v.empty()) cout << '\n';
}

template <typename T>
void printn(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}

template <typename T>
int lb(const vector<T> &v, T x) {
    return lower_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
int ub(const vector<T> &v, T x) {
    return upper_bound(begin(v), end(v), x) - begin(v);
}

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

template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
    int n = v.size();
    vector<int> ret(n);
    iota(begin(ret), end(ret), 0);
    sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });
    return ret;
}

template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first + q.first, p.second + q.second);
}

template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first - q.first, p.second - q.second);
}

template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
    S a;
    T b;
    is >> a >> b;
    p = make_pair(a, b);
    return is;
}

template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
    return os << p.first << ' ' << p.second;
}

struct io_setup {
    io_setup() {
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
    }
} io_setup;

const int inf = (1 << 30) - 1;
const ll INF = (1LL << 60) - 1;
const int MOD = 1000000007;
// const int MOD = 998244353;

template <typename T>
vector<T> divisors(const T &n) {
    vector<T> ret;
    for (T i = 1; i * i <= n; i++) {
        if (n % i == 0) {
            ret.push_back(i);
            if (i * i != n) ret.push_back(n / i);
        }
    }
    sort(begin(ret), end(ret));
    return ret;
}

template <typename T>
vector<pair<T, int>> prime_factor(T n) {
    vector<pair<T, int>> ret;
    for (T i = 2; i * i <= n; i++) {
        int cnt = 0;
        while (n % i == 0) cnt++, n /= i;
        if (cnt > 0) ret.emplace_back(i, cnt);
    }
    if (n > 1) ret.emplace_back(n, 1);
    return ret;
}

template <typename T>
bool is_prime(const T &n) {
    if (n == 1) return false;
    for (T i = 2; i * i <= n; i++) {
        if (n % i == 0) return false;
    }
    return true;
}

// 1,2,...,nのうちkと互いに素である自然数の個数
template <typename T>
T coprime(T n, T k) {
    vector<pair<T, int>> ps = prime_factor(k);
    int m = ps.size();
    T ret = 0;
    for (int i = 0; i < (1 << m); i++) {
        T prd = 1;
        for (int j = 0; j < m; j++) {
            if ((i >> j) & 1) prd *= ps[j].first;
        }
        ret += (__builtin_parity(i) ? -1 : 1) * (n / prd);
    }
    return ret;
}

vector<bool> Eratosthenes(const int &n) {
    vector<bool> ret(n + 1, true);
    if (n >= 0) ret[0] = false;
    if (n >= 1) ret[1] = false;
    for (int i = 2; i * i <= n; i++) {
        if (!ret[i]) continue;
        for (int j = i + i; j <= n; j += i) ret[j] = false;
    }
    return ret;
}

vector<int> Eratosthenes2(const int &n) {
    vector<int> ret(n + 1);
    iota(begin(ret), end(ret), 0);
    if (n >= 0) ret[0] = -1;
    if (n >= 1) ret[1] = -1;
    for (int i = 2; i * i <= n; i++) {
        if (ret[i] < i) continue;
        for (int j = i + i; j <= n; j += i) ret[j] = min(ret[j], i);
    }
    return ret;
}

struct Random_Number_Generator {
    mt19937_64 mt;

    Random_Number_Generator() : mt(chrono::steady_clock::now().time_since_epoch().count()) {}

    int64_t operator()(int64_t l, int64_t r) {
        uniform_int_distribution<int64_t> dist(l, r - 1);
        return dist(mt);
    }

    int64_t operator()(int64_t r) { return (*this)(0, r); }
} rng;

using ull = unsigned long long;

struct Rolling_Hash {
    const ull mod = (1ULL << 61) - 1;

    ull calc_mod(ull x) const {
        ull ret = (x >> 61) + (x & mod);
        return ret - (ret >= mod ? mod : 0);
    }

    ull mul(ull x, ull y) const {
        x = calc_mod(x), y = calc_mod(y);
        ull x1 = x >> 31, x2 = x & ((1ULL << 31) - 1), y1 = y >> 31, y2 = y & ((1ULL << 31) - 1);
        ull z = x1 * y2 + x2 * y1, z1 = z >> 30, z2 = z & ((1ULL << 30) - 1);
        return calc_mod(x1 * y1 * 2 + x2 * y2 + z1 + (z2 << 31));
    }

    ull pow(ull x, ull n) const {
        ull ret = 1;
        for (; n > 0; n >>= 1, x = mul(x, x)) {
            if (n & 1) ret = mul(ret, x);
        }
        return ret;
    }

    ull base; //基数
    vector<ull> hashed, pw;

    void set_base() { //基数は乱数を用いて生成する
        Random_Number_Generator rng;
        while (true) {
            ull k = rng(mod);
            if (gcd(mod - 1, k) != 1) continue;
            base = pow(3, k);
            if (base < 256) continue;
            break;
        }
    }

    Rolling_Hash(const string &s) {
        set_base();
        int n = s.size();
        hashed.resize(n + 1), pw.resize(n + 1);
        hashed[0] = 0, pw[0] = 1;
        for (int i = 0; i < n; i++) {
            pw[i + 1] = mul(pw[i], base);
            hashed[i + 1] = mul(hashed[i], base) + s[i];
            if (hashed[i + 1] >= mod) hashed[i + 1] -= mod;
        }
    }

    ull query(int l, int r) const { //文字列の[l,r)の部分のハッシュ値
        ull ret = hashed[r] + mod - mul(hashed[l], pw[r - l]);
        return ret - (ret >= mod ? mod : 0);
    }

    ull get_hash(const string &s) const {
        ull ret = 0;
        for (int i = 0; i < (int)s.size(); i++) {
            ret = mul(ret, base) + s[i];
            if (ret >= mod) ret -= mod;
        }
        return ret;
    }
};

template <typename T>
struct Array_Hash {
    const ull mod = (1ULL << 61) - 1;

    ull calc_mod(ull x) const {
        ull ret = (x >> 61) + (x & mod);
        return ret - (ret >= mod ? mod : 0);
    }

    ull mul(ull x, ull y) const {
        x = calc_mod(x), y = calc_mod(y);
        ull x1 = x >> 31, x2 = x & ((1ULL << 31) - 1), y1 = y >> 31, y2 = y & ((1ULL << 31) - 1);
        ull z = x1 * y2 + x2 * y1, z1 = z >> 30, z2 = z & ((1ULL << 30) - 1);
        return calc_mod(x1 * y1 * 2 + x2 * y2 + z1 + (z2 << 31));
    }

    ull pow(ull x, ull n) const {
        ull ret = 1;
        for (; n > 0; n >>= 1, x = mul(x, x)) {
            if (n & 1) ret = mul(ret, x);
        }
        return ret;
    }

    ull base;
    vector<ull> pw;

    void set_base(T m) {
        while (true) {
            ull k = rng(mod);
            if (gcd(mod - 1, k) != 1) continue;
            base = pow(3, k);
            if (base <= ull(m)) continue;
            break;
        }
    }

    Array_Hash(int n, T m) { //配列の長さ、要素の最大値
        set_base(m);
        pw.resize(n + 1);
        pw[0] = 1;
        for (int i = 0; i < n; i++) pw[i + 1] = mul(pw[i], base);
    }

    ull get_hash(const vector<T> &v) const {
        ull ret = 0;
        for (int i = 0; i < (int)v.size(); i++) {
            ret += mul(v[i], pw[i]);
            if (ret >= mod) ret -= mod;
        }
        return ret;
    }
};

int main() {
    int N;
    cin >> N;

    int M = 1000000;
    vector<int> ps = Eratosthenes2(M);

    Array_Hash ah(M + 1, 1);
    map<ull, ll> mp;
    ull x = 0;
    vector<int> c(M + 1, 0);

    rep(i, N + 1) {
        mp[x]++;
        if (i == N) break;
        int a;
        cin >> a;

        while (a > 1) {
            int t = ps[a];
            if (c[t] == 0) {
                x += ah.pw[t];
            } else {
                x += ah.mod - ah.pw[t];
            }
            c[t] ^= 1;
            if (x >= ah.mod) x -= ah.mod;
            a /= t;
        }
    }

    ll ans = 0;
    each(e, mp) ans += e.second * (e.second - 1) / 2;
    cout << ans << '\n';
}
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