QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#728845#9248. An Easy Math ProblemWhxxxxx318#TL 3ms4136kbC++231.3kb2024-11-09 16:04:052024-11-09 16:04:05

Judging History

This is the latest submission verdict.

  • [2024-11-09 16:04:05]
  • Judged
  • Verdict: TL
  • Time: 3ms
  • Memory: 4136kb
  • [2024-11-09 16:04:05]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1e5 + 10;
bool vis[N];
int prime[N];
int cnt;

void oula()
{
    for (int i = 2; i < N; i++)
    {
        if (!vis[i])
            prime[cnt++] = i;
        for (int j = 0; j < cnt && i * prime[j] < N; j++)
        {
            vis[i * prime[j]] = 1;
            if (i % prime[j] == 0)
                break;
        }
    }
}
int qpow(int a, int b)
{
    int res = 1;
    while (b > 0)
    {
        if (b & 1)
            res = res * a;
        a = a * a;
        b >>= 1;
    }
    return res;
}

void solve()
{
    int n;
    cin >> n;

    unordered_map<int, int> mp;
    int sum = 0;
    int ans = 1;
    for (int i = 0; i < cnt; i++)
    {
        int t = 0;
        int prm = prime[i];

        while (n % prm == 0)
        {
            n /= prm;
            t++;
        }
        ans *= (t + 1);
        mp[prm] = t;
        sum += t;
    }

    for (auto [a, k] : mp)
    {
        ans += k * (qpow(2, sum - k) - 1);
        sum -= k;
    }

    cout << ans << "\n";
}
signed main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int T = 1;

    oula();
    cin >> T;
    while (T--)
        solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 4136kb

input:

10
1
2
3
4
5
6
7
8
9
10

output:

1
2
2
3
2
5
2
4
3
5

result:

ok 10 lines

Test #2:

score: -100
Time Limit Exceeded

input:

2000
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
6469693230
646969323...

output:

2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
2037
...

result: