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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#851605#9619. 乘积,欧拉函数,求和xiaodaiyangWA 166ms4392kbC++202.5kb2025-01-10 21:02:182025-01-10 21:02:18

Judging History

你现在查看的是最新测评结果

  • [2025-01-10 21:02:18]
  • 评测
  • 测评结果:WA
  • 用时:166ms
  • 内存:4392kb
  • [2025-01-10 21:02:18]
  • 提交

answer

#include <iostream>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <vector>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <random>
#include <climits>
#include <unordered_set>
#include <unordered_map>
#include <bitset>
#include <iomanip>
#include <array>
 
using namespace std;
 
// #define endl '\n'
typedef long long ll;
#define int long long
typedef __int128_t int128;
typedef pair<int, int> PII;
typedef pair<PII, int> PIII;
const int INF = 0x3f3f3f3f, mod = 1e9 + 7;
// mt19937 rng(time(0));
mt19937_64 rng(random_device{}());
#define x first
#define y second
#define lowbit(x) ((x) & -(x))
//#define double long double
const int N = 2010, M = 1000010;
ll n, m;

int qmi(int a, int k, int p) {
    int res = 1 % p;
    while (k)
    {
        if (k & 1) res = (ll)res * a % p;
        a = (ll)a * a % p;
        k >>= 1;
    }
    return res;
}

int prime[15]={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47};
int a[N];
map<int, vector<int>> mp;
int dp[1 << 15], f[1 << 15];
int st[N];

void solve() {
    
    cin >> n;
    for (int i = 1; i <= n; i ++ ) {
        cin >> a[i];
        int x = a[i];
        for (int j = 0; j < 15; j ++ ) {
            if (x % prime[j] == 0) {
                st[i] |= (1 << j);
                while (x % prime[j] == 0) {
                    x /= prime[j];
                }
            }
        }
        if (x == 53 * 53) x = 53;
        mp[x].push_back(i);
    }
    
    dp[0] = 1;
    for (auto &[x, vct] : mp) {
        memset(f, 0, sizeof f);
        for (auto i : vct) {
            for (int s = (1 << 15) - 1; s >= 0; s -- ) {
                f[s | st[i]] += dp[s] * (x == 1 ? a[i] : a[i] / x * (x - 1)) + f[s] * a[i];
                f[s | st[i]] %= mod;
            }
        }
        for (int s = 0; s < (1 << 15); s ++ ) dp[s] = (dp[s] + f[s]) % mod;
    }
    int ans = 0;
    for (int s = 0; s < (1 << 15); s ++ ) {
        int res = dp[s];
        for (int i = 0; i < 15; i ++ ) {
            if (s >> i & 1) {
                res = res * (prime[i] - 1) % mod * qmi(prime[i], mod - 2, mod) % mod;
            }
        }
        ans = (ans + res) % mod;
    }
    cout << ans << endl;
    
}

signed main()
{
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
//     freopen("input.txt", "r", stdin);
//      freopen("output.txt", "w", stdout);
    int t = 1;
    // cin >> t;
    while(t--)
    {
        solve();
    }
      
    return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 25ms
memory: 4388kb

input:

5
1 6 8 6 2

output:

892

result:

ok single line: '892'

Test #2:

score: 0
Accepted
time: 28ms
memory: 4392kb

input:

5
3 8 3 7 8

output:

3157

result:

ok single line: '3157'

Test #3:

score: -100
Wrong Answer
time: 166ms
memory: 4184kb

input:

2000
79 1 1 1 1 1 1 2803 1 1 1 1 1 1 1609 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2137 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 613 1 499 1 211 1 2927 1 1 1327 1 1 1123 1 907 1 2543 1 1 1 311 2683 1 1 1 1 2963 1 1 1 641 761 1 1 1 1 1 1 1 1 1 1 1 1489 2857 1 1 1 1 1 1 1 1 1 1 1 1 1 967 1 821 1 1 1 1 2143 1861...

output:

828425969

result:

wrong answer 1st lines differ - expected: '50965652', found: '828425969'