Submission #1073566

# Submission time Handle Problem Language Result Execution time Memory
1073566 2024-08-24T16:11:41 Z coolboy19521 Energetic turtle (IZhO11_turtle) C++17
25 / 100
2000 ms 1756 KB
// Thanks Benq
 
#pragma GCC optimize("Ofast")
#include "bits/stdc++.h"
#define ll long long
#define int ll
 
using namespace std;
 
const int sz = 6e5 + 2;
const int sm = 30;
 
vector<pair<int,int>> vp;
vector<int> ps;
ll wz[sm][sm];
ll dp[sm][sm];
bool sv[sz];
 
ll bpw(ll x, ll b, ll z) {
    ll r = 1;
    while (b) {
        if (b & 1)
            (r *= x) %= z;
        (x *= x) %= z;
        b >>= 1;
    }
    return r;
}
 
ll nck(ll n, ll k, ll z) {
    if (n < k || n < 0) return 0;
    if (k == 0 || n == k) return 1;
	if (k == 1 || k == n - 1) return n;
    ll r = 1;
    for (ll p : ps) {
        if (p > n) break;
        int e = 0;
        for (ll c = p; c <= n; c *= p) {
            if (c <= k) e -= k / c;
            if (c <= n - k) e -= (n - k) / c;
            e += n / c;
        }
        (r *= bpw(p, e, z)) %= z;
    }
    return r;
}
 
ll gt(pair<int,int>& f, pair<int,int>& s, int z) {
    int xds = s.first - f.first;
    int yds = s.second - f.second;
    return nck(xds + yds, yds, z);
}
 
ll sb(ll a, ll b, ll z) {
    return (a + z - b) % z;
}
 
ll ml(ll a, ll b, ll z) {
    return a * b % z;
}
 
ll ad(ll a, ll b, ll z) {
    return (a + b) % z;
}
 
signed main() {
    cin.tie(nullptr)->sync_with_stdio(false);
 
    ll n, m, k, t, z;
    cin >> n >> m >> k >> t >> z;
    int sd = n + m + 2;
 
    for (ll i = 2; i < sd; i ++) {
        if (sv[i]) continue;
        ps.push_back(i);
        sv[i] = true;
        for (ll j = i * i; j < sd; j += i)
            sv[j] = true;
    }
 
    for (int i = 0; i < k; i ++) {
        int x, y;
        cin >> x >> y;
        vp.push_back(make_pair(x, y));
    }
 
    vp.push_back(make_pair(0, 0));
    vp.push_back(make_pair(n, m));
 
    sort(begin(vp), end(vp));
    k = vp.size();
 
    for (int i = 1; i < k; i ++) {
        vector<int> an(k + 2);
        for (int j = i - 1; 0 <= j; j --) {
            wz[j][i] = an[j] = gt(vp[j], vp[i], z);
            for (int l = j + 1; l < i; l ++)
                wz[j][i] = sb(wz[j][i], ml(wz[j][l], an[l], z), z);
        }
    }
 
    dp[0][1] = 1;
 
    for (int i = 1; i < k; i ++)
        for (int j = 0; j < i; j ++)
            for (int l = 2; l <= t + 2; l ++)
                dp[i][l] = ad(dp[i][l], ml(dp[j][l - 1], wz[j][i], z), z);
 
    ll r = 0;
 
    for (int i = 1; i <= t + 2; i ++)
        r = ad(r, dp[k - 1][i], z);
 
    // cout << ps.size() << '\n';
    cout << r << '\n';
}

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Execution timed out 2048 ms 348 KB Time limit exceeded
3 Execution timed out 2045 ms 344 KB Time limit exceeded
4 Execution timed out 2067 ms 348 KB Time limit exceeded
5 Execution timed out 2041 ms 344 KB Time limit exceeded
6 Correct 0 ms 344 KB Output is correct
7 Execution timed out 2093 ms 348 KB Time limit exceeded
8 Execution timed out 2036 ms 344 KB Time limit exceeded
9 Execution timed out 2040 ms 344 KB Time limit exceeded
10 Execution timed out 2036 ms 344 KB Time limit exceeded
11 Execution timed out 2048 ms 1016 KB Time limit exceeded
12 Execution timed out 2037 ms 1500 KB Time limit exceeded
13 Execution timed out 2057 ms 1504 KB Time limit exceeded
14 Correct 9 ms 956 KB Output is correct
15 Execution timed out 2045 ms 856 KB Time limit exceeded
16 Execution timed out 2041 ms 1756 KB Time limit exceeded
17 Execution timed out 2085 ms 1500 KB Time limit exceeded
18 Correct 19 ms 1504 KB Output is correct
19 Correct 17 ms 1580 KB Output is correct
20 Execution timed out 2099 ms 1504 KB Time limit exceeded