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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#252486#7679. Master of Both IVCu_OH_2TL 0ms3748kbC++141.9kb2023-11-15 20:06:182023-11-15 20:06:18

Judging History

你现在查看的是最新测评结果

  • [2023-11-15 20:06:18]
  • 评测
  • 测评结果:TL
  • 用时:0ms
  • 内存:3748kb
  • [2023-11-15 20:06:18]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ll = long long;

const int MOD = 998244353;

template<int bit>
struct LinearBasis
{
    vector<ll> v;
    LinearBasis() { v.resize(bit); }
    void insert(ll x)
    {
        for (int i = bit - 1; i >= 0; --i)
        {
            if (x >> i & 1ll)
            {
                if (v[i]) x ^= v[i];
                else
                {
                    v[i] = x;
                    break;
                }
            }
        }
        return;
    }
    int rank()
    {
        int cnt = 0;
        for (auto e : v)
        {
            if (e) cnt++;
        }
        return cnt;
    }
};

ll qpow(ll a, ll p)
{
    ll res = 1;
    while (p)
    {
        if (p & 1) res = res * a % MOD;
        a = a * a % MOD;
        p >>= 1;
    }
    return res;
}

int n, a[200005];

void solve()
{
    cin >> n;
    for (int i = 1; i <= n; ++i) cin >> a[i];
    // xorsum = max_element
    vector<ll> cnt(n + 1);
    for (int i = 1; i <= n; ++i) cnt[a[i]]++;
    vector<vector<int>> f(n + 1);
    for (int i = 1; i <= n; ++i)
    {
        for (int j = 1; i * j <= n; ++j)
        {
            f[i * j].push_back(i);
        }
    }
    ll ans = 0;
    for (int i = 1; i <= n; ++i)
    {
        if (!cnt[i]) continue;
        ll res = 1, tot = 0;
        LinearBasis<32> lb;
        for (auto e : f[i])
        {
            tot += cnt[e];
            lb.insert(e);
        }
        ans += qpow(2, tot - lb.rank());
        ans %= MOD;
    }
    LinearBasis<32> lb;
    for (int i = 1; i <= n; ++i) lb.insert(a[i]);
    ans += qpow(2, n - lb.rank());
    ans %= MOD;
    cout << (ans + MOD - 1) % MOD << '\n';
    return;
}

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int T = 1;
    cin >> T;
    while (T--) solve();
    return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 0ms
memory: 3748kb

input:

2
3
1 2 3
5
3 3 5 1 1

output:

4
11

result:

ok 2 number(s): "4 11"

Test #2:

score: -100
Time Limit Exceeded

input:

40000
5
4 2 5 5 5
5
5 5 5 5 4
5
1 4 4 4 2
5
2 5 2 4 1
5
3 2 4 5 3
5
1 5 5 3 4
5
5 5 5 4 3
5
4 3 3 5 1
5
4 5 5 2 1
5
2 5 4 2 5
5
3 4 3 4 3
5
5 3 5 1 3
5
5 1 2 4 4
5
4 2 5 1 5
5
5 4 2 5 4
5
5 2 5 2 4
5
1 4 5 4 5
5
4 2 3 2 3
5
1 4 1 3 5
5
1 1 2 1 5
5
5 2 5 1 3
5
3 1 2 5 3
5
5 5 1 1 5
5
2 2 2 1 3
5
3 1 ...

output:


result: