Submission #225107

#TimeUsernameProblemLanguageResultExecution timeMemory
225107kartelMobitel (COCI19_mobitel)C++14
130 / 130
1197 ms11000 KiB
#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; }
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