Submission #1131589

#TimeUsernameProblemLanguageResultExecution timeMemory
1131589steveonalexGenetics (BOI18_genetics)C++20
100 / 100
942 ms28232 KiB
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
    double cur = rngesus(0, MASK(60) - 1);
    cur /= MASK(60) - 1;
    return l + cur * (r - l);
}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

#pragma GCC target("popcnt,lzcnt")

const int N = 4100;

vector<int> get_possible(int n, int m, int k, int idx, vector<bitset<N * 4>> &s){
    vector<int> ans;
    for(int i = 0; i < n; ++i) if (i != idx){
        int cnt = m - (s[i] & s[idx]).count();
        if (cnt == k) ans.push_back(i);
    }
    return ans;
}

char convert(char c){
    switch (c){
        case 'A':
            return '0';
        case 'C':
            return '1';
        case 'G':
            return '2';
        case 'T':
            return '3';
    }
    return '4';
}

int solve(){
    int n, m, k; cin >> n >> m >> k;
    vector<pair<string, int>> s(n);
    for(int i = 0; i < n; ++i) {
        cin >> s[i].first;
        for(char &c: s[i].first) c = convert(c);
        s[i].second = i + 1;
    }
    shuffle(ALL(s), rng);

    vector<int> cur;
    int sum[m][8]; memset(sum, 0, sizeof sum);
    for(int i = 0; i< n; ++i) for(int j = 0; j< m; ++j){
        int digit = s[i].first[j] - '0';
        sum[j][digit]++;
        if (i < n / 2) sum[j][digit + 4]++;
    }

    for(int i = 0; i < n; ++i){
        int cnt = n * m, _cnt = (n / 2) * m;
        for(int j = 0; j < m; ++j){
            int digit = s[i].first[j] - '0';
            cnt -= sum[j][digit];
            _cnt -= sum[j][digit + 4];
        }
        int target = (n / 2) * k;
        if (i < n / 2) target -= k;
        if (cnt == (n-1) * k && _cnt == target) cur.push_back(i);
    }

    vector<bitset<N * 4>> giga_nigga(n);
    for(int i = 0; i < n; ++i){
        for(int j = 0; j < m; ++j){
            int digit = s[i].first[j] - '0';
            giga_nigga[i][j + digit * N] = 1;
        }
    }


    while(cur.size()){
        int u = cur.back(); cur.pop_back();
        vector<int> wtf = get_possible(n, m, k, u, giga_nigga);
        if (wtf.size() == s.size() - 1) return s[u].second;

        vector<int> tmp;
        for(int i: wtf) if (binary_search(ALL(cur), i)) tmp.push_back(i);
        cur = tmp;
    }
    return -1;
}

int main(void){
    ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);

    clock_t start = clock();

    cout << solve() << "\n";

    cerr << "Time elapsed: " << clock() - start << " ms\n";
    return 0;
}
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