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Submission #1073002

# Submission time Handle Problem Language Result Execution time Memory
1073002 2024-08-24T08:22:46 Z coolboy19521 Energetic turtle (IZhO11_turtle) C++17
25 / 100
 2000 ms 1496 KB 
// Thanks Benq

#include "bits/stdc++.h"
#define ll long long
#define int ll

using namespace std;

const int sz = 6e5 + 2;
const int sm = 22;

vector<pair<int,int>> vp;
vector<int> ps;
int x[sz], y[sz];
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 i = 0; i < (ll) ps.size(); i ++) {
        ll p = ps[i], e = 0;
        if (p > n) break;
        for (ll c = p; c <= n; c *= p)
            e += n / c;
        for (ll c = p; c <= k; c *= p)
            e -= k / c;
        for (ll c = p; c <= (n - k); c *= p)
            e -= (n - k) / 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() {
    for (ll i = 2; i < sz; i ++) {
        if (sv[i]) continue;
        ps.push_back(i);
        sv[i] = true;
        for (ll j = i * i; j < sz; j += i)
            sv[j] = true;
    }

    ll n, m, k, t, z;
    cin >> n >> m >> k >> t >> z;

    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 ++)
        for (int j = i - 1; 0 <= j; j --) {
            wz[j][i] = 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], gt(vp[l], vp[i], z), z), z);
        }

    dp[0][0] = 1;

    for (int i = 1; i < k; i ++)
        for (int j = 0; j < i; j ++)
            for (int l = 1; l <= t + 1; 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 + 1; i ++)
        r = ad(r, dp[k - 1][i], z);

    cout << r << '\n';
}

Subtask #1
25.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1496 KB Output is correct
2 Execution timed out 2071 ms 1492 KB Time limit exceeded
3 Execution timed out 2071 ms 1496 KB Time limit exceeded
4 Execution timed out 2023 ms 1492 KB Time limit exceeded
5 Execution timed out 2057 ms 1496 KB Time limit exceeded
6 Correct 3 ms 1492 KB Output is correct
7 Execution timed out 2067 ms 1496 KB Time limit exceeded
8 Execution timed out 2045 ms 1492 KB Time limit exceeded
9 Execution timed out 2050 ms 1496 KB Time limit exceeded
10 Execution timed out 2063 ms 1496 KB Time limit exceeded
11 Execution timed out 2067 ms 1496 KB Time limit exceeded
12 Execution timed out 2067 ms 1496 KB Time limit exceeded
13 Execution timed out 2081 ms 1496 KB Time limit exceeded
14 Correct 49 ms 1492 KB Output is correct
15 Execution timed out 2045 ms 1492 KB Time limit exceeded
16 Execution timed out 2064 ms 1496 KB Time limit exceeded
17 Execution timed out 2064 ms 1496 KB Time limit exceeded
18 Correct 149 ms 1492 KB Output is correct
19 Correct 138 ms 1496 KB Output is correct
20 Execution timed out 2083 ms 1496 KB Time limit exceeded