Submission #95837

#	Time	Username	Problem	Language	Result	Execution time	Memory
95837		caesar2001	Genetics (BOI18_genetics)	C++14	46 / 100	2122 ms	792264 KiB

genetics

#include <bits/stdc++.h>
#define ll long long
#define lsb(x) (x & -x)

using namespace std;

void transpune(const vector<vector<ll>> &v, vector<vector<ll>> &ans, int n, int m) {
    for(int i = 1; i <= n; i ++)
        for(int j = 1; j <= m; j ++)
            ans[j][i] = v[i][j];
}

void multiply(const vector<vector<ll>> &a, const vector<ll> &b, vector<ll> &ans, int n, int m) {
    for(int i = 1; i <= n; i ++)
        for(int k = 1; k <= m; k ++)
                ans[i] += (a[i][k] * b[k]);
}

void add(vector<ll> &ans, const vector<ll> &a, int n) {
    for(int i = 1; i <= n; i ++)
        ans[i] += a[i];
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    //freopen("a.in", "r", stdin);
    //freopen("a.out", "w", stdout);

    int n, m, k;
    cin >> n >> m >> k;
    k = m - k;

    vector<int> code(30, 0);
    code['A' - 'A'] = 1;
    code['C' - 'A'] = 2;
    code['G' - 'A'] = 3;
    code['T' - 'A'] = 4;

    vector<vector<vector<ll>>> v(5, vector<vector<ll>> (n + 1, vector<ll> (m + 1, 0)));
    for(int i = 1; i <= n; i ++) {
        string s;
        cin >> s;

        for(int j = 0; j < m; j ++)
            v[code[s[j] - 'A']][i][j + 1] = 1;
    }

    srand(time(NULL));

    vector<ll> hs(n + 1, 0);
    for(int i = 1; i <= n; i ++)
        hs[i] = rand();

    vector<ll> ans(n + 1, 0);
    for(int i = 1; i <= 4; i ++) {
        vector<vector<ll>> t(m + 1, vector<ll> (n + 1, 0));
        transpune(v[i], t, n, m);

        vector<ll> ths(m + 1, 0);
        multiply(t, hs, ths, m, n);

        vector<ll> aux(n + 1, 0);
        multiply(v[i], ths, aux, n, m);
        add(ans, aux, n);
    }

    vector<vector<ll>> sol(n + 1, vector<ll> (n + 1, k));
    for(int i = 1; i <= n; i ++)
        sol[i][i] = m;
    vector<ll> solhs(n + 1, 0);
    multiply(sol, hs, solhs, n, n);

    for(int i = 1; i <= n; i ++) {
        if(solhs[i] == ans[i]) {
            cout << i;
            return 0;
        }
    }

    return 0;
}

• Subtask 1: 27 / 27
• Subtask 2: 19 / 19
• Subtask 3: 0 / 28
• Subtask 4: 0 / 26