Submission #1073582

# Submission time Handle Problem Language Result Execution time Memory
1073582 2024-08-24T16:19:38 Z coolboy19521 Energetic turtle (IZhO11_turtle) C++17
25 / 100
2000 ms 1504 KB
// Thanks Benq
 
#include "bits/stdc++.h"
#define ll long long
#define int ll
 
using namespace std;
 
const int sz = 6e5 + 1;
const int sm = 25;
 
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;
    k = min(k, n - k);
    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 <= min(i + 1, 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 << r << '\n';
}

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Execution timed out 2056 ms 348 KB Time limit exceeded
3 Execution timed out 2049 ms 344 KB Time limit exceeded
4 Execution timed out 2074 ms 348 KB Time limit exceeded
5 Execution timed out 2047 ms 344 KB Time limit exceeded
6 Correct 1 ms 348 KB Output is correct
7 Execution timed out 2090 ms 348 KB Time limit exceeded
8 Execution timed out 2069 ms 348 KB Time limit exceeded
9 Execution timed out 2070 ms 348 KB Time limit exceeded
10 Execution timed out 2029 ms 344 KB Time limit exceeded
11 Execution timed out 2051 ms 856 KB Time limit exceeded
12 Execution timed out 2055 ms 1500 KB Time limit exceeded
13 Execution timed out 2016 ms 1500 KB Time limit exceeded
14 Correct 8 ms 860 KB Output is correct
15 Execution timed out 2092 ms 860 KB Time limit exceeded
16 Execution timed out 2083 ms 1504 KB Time limit exceeded
17 Execution timed out 2033 ms 1504 KB Time limit exceeded
18 Correct 20 ms 1500 KB Output is correct
19 Correct 18 ms 1504 KB Output is correct
20 Execution timed out 2093 ms 1504 KB Time limit exceeded