oj.uz

Submission #381541

# Submission time Handle Problem Language Result Execution time Memory
381541 2021-03-25T09:37:43 Z ne4eHbKa Semafor (COI20_semafor) C++17
100 / 100
 228 ms 876 KB 
#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;
    mat<M> a = power(make(k), n / k);
    if(n % k) a = make(n % k) * a;
    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
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 620 KB Output is correct
2 Correct 10 ms 620 KB Output is correct
3 Correct 7 ms 748 KB Output is correct
4 Correct 4 ms 620 KB Output is correct
5 Correct 9 ms 748 KB Output is correct
6 Correct 4 ms 620 KB Output is correct
7 Correct 13 ms 748 KB Output is correct
8 Correct 15 ms 620 KB Output is correct
9 Correct 7 ms 748 KB Output is correct
10 Correct 12 ms 620 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 620 KB Output is correct
2 Correct 10 ms 620 KB Output is correct
3 Correct 7 ms 748 KB Output is correct
4 Correct 4 ms 620 KB Output is correct
5 Correct 9 ms 748 KB Output is correct
6 Correct 4 ms 620 KB Output is correct
7 Correct 13 ms 748 KB Output is correct
8 Correct 15 ms 620 KB Output is correct
9 Correct 7 ms 748 KB Output is correct
10 Correct 12 ms 620 KB Output is correct
11 Correct 10 ms 748 KB Output is correct
12 Correct 27 ms 748 KB Output is correct
13 Correct 13 ms 748 KB Output is correct
14 Correct 13 ms 848 KB Output is correct
15 Correct 7 ms 748 KB Output is correct
16 Correct 13 ms 748 KB Output is correct
17 Correct 10 ms 748 KB Output is correct
18 Correct 206 ms 620 KB Output is correct
19 Correct 216 ms 876 KB Output is correct
20 Correct 8 ms 748 KB Output is correct
21 Correct 7 ms 748 KB Output is correct
22 Correct 7 ms 620 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 620 KB Output is correct
2 Correct 4 ms 620 KB Output is correct
3 Correct 4 ms 620 KB Output is correct
4 Correct 5 ms 620 KB Output is correct
5 Correct 4 ms 620 KB Output is correct
6 Correct 4 ms 620 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 4 ms 640 KB Output is correct
9 Correct 4 ms 620 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 848 KB Output is correct
2 Correct 106 ms 620 KB Output is correct
3 Correct 167 ms 748 KB Output is correct
4 Correct 220 ms 876 KB Output is correct
5 Correct 201 ms 748 KB Output is correct
6 Correct 192 ms 852 KB Output is correct
7 Correct 209 ms 852 KB Output is correct
8 Correct 228 ms 620 KB Output is correct
9 Correct 196 ms 748 KB Output is correct
10 Correct 193 ms 748 KB Output is correct
11 Correct 21 ms 620 KB Output is correct
12 Correct 7 ms 620 KB Output is correct
13 Correct 213 ms 852 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 848 KB Output is correct
2 Correct 106 ms 620 KB Output is correct
3 Correct 167 ms 748 KB Output is correct
4 Correct 220 ms 876 KB Output is correct
5 Correct 201 ms 748 KB Output is correct
6 Correct 192 ms 852 KB Output is correct
7 Correct 209 ms 852 KB Output is correct
8 Correct 228 ms 620 KB Output is correct
9 Correct 196 ms 748 KB Output is correct
10 Correct 193 ms 748 KB Output is correct
11 Correct 21 ms 620 KB Output is correct
12 Correct 7 ms 620 KB Output is correct
13 Correct 213 ms 852 KB Output is correct
14 Correct 21 ms 748 KB Output is correct
15 Correct 80 ms 748 KB Output is correct
16 Correct 124 ms 852 KB Output is correct
17 Correct 208 ms 748 KB Output is correct
18 Correct 175 ms 748 KB Output is correct
19 Correct 153 ms 876 KB Output is correct
20 Correct 176 ms 748 KB Output is correct
21 Correct 199 ms 748 KB Output is correct
22 Correct 201 ms 748 KB Output is correct
23 Correct 165 ms 876 KB Output is correct
24 Correct 183 ms 748 KB Output is correct
25 Correct 174 ms 748 KB Output is correct
26 Correct 13 ms 748 KB Output is correct
27 Correct 21 ms 876 KB Output is correct
28 Correct 127 ms 876 KB Output is correct

Subtask #6
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 620 KB Output is correct
2 Correct 4 ms 620 KB Output is correct
3 Correct 4 ms 620 KB Output is correct
4 Correct 5 ms 620 KB Output is correct
5 Correct 4 ms 620 KB Output is correct
6 Correct 4 ms 620 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 4 ms 640 KB Output is correct
9 Correct 4 ms 620 KB Output is correct
10 Correct 42 ms 848 KB Output is correct
11 Correct 106 ms 620 KB Output is correct
12 Correct 167 ms 748 KB Output is correct
13 Correct 220 ms 876 KB Output is correct
14 Correct 201 ms 748 KB Output is correct
15 Correct 192 ms 852 KB Output is correct
16 Correct 209 ms 852 KB Output is correct
17 Correct 228 ms 620 KB Output is correct
18 Correct 196 ms 748 KB Output is correct
19 Correct 193 ms 748 KB Output is correct
20 Correct 21 ms 620 KB Output is correct
21 Correct 7 ms 620 KB Output is correct
22 Correct 213 ms 852 KB Output is correct
23 Correct 21 ms 748 KB Output is correct
24 Correct 80 ms 748 KB Output is correct
25 Correct 124 ms 852 KB Output is correct
26 Correct 208 ms 748 KB Output is correct
27 Correct 175 ms 748 KB Output is correct
28 Correct 153 ms 876 KB Output is correct
29 Correct 176 ms 748 KB Output is correct
30 Correct 199 ms 748 KB Output is correct
31 Correct 201 ms 748 KB Output is correct
32 Correct 165 ms 876 KB Output is correct
33 Correct 183 ms 748 KB Output is correct
34 Correct 174 ms 748 KB Output is correct
35 Correct 13 ms 748 KB Output is correct
36 Correct 21 ms 876 KB Output is correct
37 Correct 127 ms 876 KB Output is correct
38 Correct 10 ms 788 KB Output is correct
39 Correct 7 ms 748 KB Output is correct
40 Correct 7 ms 748 KB Output is correct
41 Correct 8 ms 748 KB Output is correct
42 Correct 10 ms 748 KB Output is correct
43 Correct 8 ms 876 KB Output is correct
44 Correct 7 ms 748 KB Output is correct
45 Correct 195 ms 620 KB Output is correct
46 Correct 195 ms 620 KB Output is correct
47 Correct 10 ms 748 KB Output is correct
48 Correct 7 ms 748 KB Output is correct
49 Correct 4 ms 620 KB Output is correct
50 Correct 4 ms 620 KB Output is correct
51 Correct 7 ms 876 KB Output is correct
52 Correct 61 ms 748 KB Output is correct