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답안 #381540

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
381540 2021-03-25T09:37:21 Z VEGAnn Semafor (COI20_semafor) C++14
21 / 100
 17 ms 492 KB 
#include <bits/stdc++.h>
#define i2 array<int,2>
#define sz(x) ((int)x.size())
using namespace std;
typedef long long ll;
const int PW = 5;
const int M = (1 << PW);
const int md = int(1e9) + 7;
int digs[10];
bool mrk[M];
ll m, n, k, x;

struct matrix{
    int a[M][M];
};

matrix base, base_k, base_nw;

int sum(int x, int y){
    x += y;
    if (x >= md)
        x -= md;
    return x;
}

int mult(int x, int y) { return (1ll * x * y) % md; }

matrix mat_mult(matrix a, matrix b){
    matrix res;

    for (int i = 0; i < M; i++)
    for (int j = 0; j < M; j++) {
        int nw = 0;

        for (int k = 0; k < M; k++)
            nw = sum(nw, mult(a.a[i][k], b.a[k][j]));

        res.a[i][j] = nw;
    }

    return res;
}

matrix binpow(matrix a, ll po){
    matrix res;
    bool was = 0;

    while (po > 0){
        if (po & 1){
            if (!was)
                res = a;
            else res = mat_mult(res, a);

            was = 1;
        }

        a = mat_mult(a, a);
        po >>= 1;
    }

    return res;
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

#ifdef _LOCAL
    freopen("in.txt","r",stdin);
#endif // _LOCAL

    cin >> m >> n >> k >> x;

    assert(m == 1);

    digs[1] = 8;
    digs[2] = 18;
    digs[3] = 28;
    digs[4] = 9;
    digs[5] = 21;
    digs[6] = 6;
    digs[7] = 24;
    digs[8] = 23;
    digs[9] = 29;
    digs[0] = 10;

    for (int i = 0; i < 10; i++)
        mrk[digs[i]] = 1;

    for (int i = 0; i < M; i++){
        for (int j = 0; j < PW; j++)
            base.a[i][(i ^ (1 << j))] = 1;
    }

    base_k = binpow(base, k);

    /// in base_k you need transitions only between digits

    for (int i = 0; i < M; i++)
    for (int j = 0; j < M; j++)
        if (!mrk[i] || !mrk[j])
            base_k.a[i][j] = 0;

    base_k = binpow(base_k, n / k);

    if (n % k > 0){
        /// calc one more matirix pls

        base_nw = binpow(base, n % k);

        for (int i = 0; i < M; i++)
        for (int j = 0; j < M; j++)
            if (!mrk[i] || !mrk[j])
                base_nw.a[i][j] = 0;

        base_k = mat_mult(base_k, base_nw);
    }

    for (int i = 0; i < 10; i++)
        cout << base_k.a[digs[x]][digs[i]] << '\n';

    return 0;
}

Subtask #1
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 2 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 2 ms 364 KB Output is correct
10 Correct 2 ms 364 KB Output is correct

Subtask #2
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 2 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 2 ms 364 KB Output is correct
10 Correct 2 ms 364 KB Output is correct
11 Correct 5 ms 364 KB Output is correct
12 Correct 8 ms 364 KB Output is correct
13 Correct 12 ms 364 KB Output is correct
14 Correct 16 ms 364 KB Output is correct
15 Correct 15 ms 364 KB Output is correct
16 Correct 17 ms 364 KB Output is correct
17 Correct 15 ms 364 KB Output is correct
18 Correct 8 ms 364 KB Output is correct
19 Correct 9 ms 364 KB Output is correct
20 Correct 16 ms 364 KB Output is correct
21 Correct 10 ms 364 KB Output is correct
22 Correct 10 ms 364 KB Output is correct

Subtask #3
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 1 ms 492 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #4
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 1 ms 492 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #5
0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 1 ms 492 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #6
0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 1 ms 492 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -