Submission #381538

#	Time	Username	Problem	Language	Result	Execution time	Memory
381538		ne4eHbKa	Semafor (COI20_semafor)	C++17	12 / 100	12 ms	748 KiB

semafor

#include <bits/stdc++.h>
using namespace std;
#ifndef _LOCAL
//#pragma GCC optimize("O3,Ofast")
#else
#pragma GCC optimize("O0")
#endif
template<typename t> inline void umin(t &a, const t b) {a = min(a, b);}
template<typename t> inline void umax(t &a, const t b) {a = max(a, b);}
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
typedef int8_t byte;
ll time() {return chrono::system_clock().now().time_since_epoch().count();}
mt19937 rnd(time());
#define ft first
#define sd second
#define len(f) int((f).size())
#define bnd(f) (f).begin(), (f).end()
#define _ <<' '<<
#define pc __builtin_popcount
#define int ll
const int inf = 1e9 + 5;
const ll inf64 = 4e18 + 5;
const int md = 1e9 + 7;
namespace MD {
    void add(int &a, const int b) {if((a += b) >= md) a -= md;}
    void sub(int &a, const int b) {if((a -= b) < 0) a += md;}
    int prod(const int a, const int b) {return ll(a) * b % md;}
};

int m, x;
ll n, k;

const string I[10] = {
    " # # ",
    " #   ",
    "#  # ",
    "###  ",
    " #  #",
    "# # #",
    "  ## ",
    "##   ",
    "# ###",
    "### #"
};

int ms[10];
int dif[10][10];

const int N = 11;
const int M = 100;

template<int n> struct mat {
    int f[n][n];
    mat operator* (const mat &o) const {
        mat res;
        for(int i = 0; i < n; ++i) {
            for(int j = 0; j < n; ++j) {
                res.f[i][j] = 0;
                for(int t = 0; t < n; ++t)
                    MD::add(res.f[i][j], MD::prod(f[i][t], o.f[t][j]));
            }
        }
        return res;
    }
    void e() {
        memset(f, 0, sizeof f);
        for(int i = 0; i < n; ++i)
            f[i][i] = 1;
    }
    void c() {
        memset(f, 0, sizeof f);
    }
};

template<int n> mat<n> power(mat<n> f, ll p) {
    mat<n> res;
    res.e();
    for(ll i = 1; p; i <<= 1) {
        if(i > 1) f = f * f;
        if(i & p)
            res = res * f,
            p ^= i;
    }
    return res;
}

mat<M> make(ll n) {
    mat<N> a;
    a.c();
    for(int i = 0, p = m * 5; p; --p, ++i) {
        int j = i + 1;
        a.f[i][j] += j;
        a.f[j][i] += p;
    }
    a = power(a, n);
    mat<M> res;
    res.c();
    if(m == 2) {
        for(int i = 0, fi = 0; i < 10; ++i)
            for(int j = 0; j < 10; ++j, ++fi)
                for(int x = 0, se = 0; x < 10; ++x)
                    for(int y = 0; y < 10; ++y, ++se)
                        res.f[fi][se] = a.f[0][dif[i][x] + dif[j][y]];
    } else {
        for(int i = 0; i < 10; ++i)
            for(int j = 0; j < 10; ++j)
                res.f[i][j] = a.f[0][dif[i][j]];
    }
    return res;
}

void solve() {
    for(int i = 0; i < 10; ++i)
        for(int j = 0; j < 5; ++j)
            if(I[i][j] == '#') ms[i] |= 1 << j;
    for(int i = 0; i < 10; ++i)
        for(int j = 0; j < 10; ++j)
            dif[i][j] = pc(ms[i] ^ ms[j]);
    cin >> m >> n >> k >> x;
    assert(!(n % k));
    mat<M> a = power(make(k), n / k);
    if(n % k) a = a * make(n % k);
    int u = m == 1 ? 10 : 100;
    for(int i = 0; i < u; ++i)
        cout << a.f[i][x] << '\n';
#ifdef KEK
cerr << endl;
#endif // KEK
}

signed main() {
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#ifndef _LOCAL
//    freopen("file.in", "r", stdin);
//    freopen("file.out", "w", stdout);
#else
    system("color a");
    freopen("in.txt", "r", stdin);
    int t; cin >> t;
    while(t--)
#endif
    solve();
}

• Subtask 1: 0 / 6
• Subtask 2: 0 / 15
• Subtask 3: 12 / 12
• Subtask 4: 0 / 12
• Subtask 5: 0 / 15
• Subtask 6: 0 / 40