oj.uz

Submission #225107

# Submission time Handle Problem Language Result Execution time Memory
225107 2020-04-19T09:27:13 Z kartel Mobitel (COCI19_mobitel) C++14
130 / 130
 1197 ms 11000 KB 
#include <bits/stdc++.h>
#define in(x) freopen(x,"r",stdin)
#define out(x) freopen(x,"w",stdout)
#define F first
#define S second
#define pb push_back
#define M ll(1e9 + 7)
#define inf ll(2e9+7)
#define N ll(305)
#define sz(x) x.size()
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("Ofast")
#define el '\n'
using namespace std;
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;

//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//using namespace __gnu_pbds;
//typedef tree <ll, null_type, less_equal <ll>, rb_tree_tag, tree_order_statistics_node_update> os;

ll n, m, x, i, j, f[2][N][1050][2], a[N][N], k, sq, ans, fc[N * 3];

ll sm(ll x, ll y) {return (0ll + x + y) % M;}

ll pw(ll x, ll y)
{
    if (y == 0) return 1ll;
    if (y % 2) return pw(x, y - 1) * x % M;
    ll a = pw(x, y / 2ll);
    return a * a % M;
}

ll C(ll n, ll k)
{
    return (fc[n] * pw((fc[n - k] * fc[k]) % M, M - 2)) % M;
}

int main()
{
//    in("input.txt");
//    out("output.txt");

    ios_base::sync_with_stdio(false);
    iostream::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> n >> m >> x;
    x--;

    sq = ll(sqrt(x));

    for (i = 1; i <= n; i++)
        for (j = 1; j <= m; j++) cin >> a[i][j];

    fc[1] = 1;
    for (i = 2; i <= n + m; i++) fc[i] = (fc[i - 1] * 1ll * i) % M;

    ans = C(n + m - 2, n - 1);

    if (sq == 1) f[0][1][0][1] = 1;
            else f[0][1][1][0] = 1;

    for (i = 1; i <= n; i++)
      {
         for (j = 1; j <= m; j++)
            for (k = 1; k <= max(x / sq, sq); k++) f[i % 2][j][k][0] = f[i % 2][j][k][1] = 0;
         for (j = 1; j <= m; j++)
            for (k = 1; k <= max(x / sq, sq); k++)
         {
             ll nk = k * a[i][j];
             if (nk < sq)
             {
                 f[i % 2][j][nk][0] = sm(f[i % 2][j][nk][0], f[(i + 1) % 2][j][k][0]);
                 f[i % 2][j][nk][0] = sm(f[i % 2][j][nk][0], f[i % 2][j - 1][k][0]);
             }
             else
             {
                 f[i % 2][j][x / nk][1] = sm(f[i % 2][j][x / nk][1], f[(i + 1) % 2][j][k][0]);
                 f[i % 2][j][x / nk][1] = sm(f[i % 2][j][x / nk][1], f[i % 2][j - 1][k][0]);
             }
             nk = k / a[i][j];
             f[i % 2][j][nk][1] = sm(f[i % 2][j][nk][1], f[(i + 1) % 2][j][k][1]);
             f[i % 2][j][nk][1] = sm(f[i % 2][j][nk][1], f[i % 2][j - 1][k][1]);
         }
      }
    for (i = 1; i <= max(x / sq, sq); i++)
    {
        ans = sm(ans, M - f[n % 2][m][i][1]);
        ans = sm(ans, M - f[n % 2][m][i][0]);
    }
    cout << ans;
}

Subtask #1
130.0 / 130.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 3584 KB Output is correct
2 Correct 37 ms 3584 KB Output is correct
3 Correct 121 ms 3840 KB Output is correct
4 Correct 133 ms 3968 KB Output is correct
5 Correct 133 ms 3960 KB Output is correct
6 Correct 130 ms 3968 KB Output is correct
7 Correct 66 ms 2816 KB Output is correct
8 Correct 631 ms 8184 KB Output is correct
9 Correct 1197 ms 11000 KB Output is correct
10 Correct 1169 ms 10880 KB Output is correct