Submission #958681

#	Time	Username	Problem	Language	Result	Execution time	Memory
958681		adaawf	Energetic turtle (IZhO11_turtle)	C++14	50 / 100	400 ms	166888 KiB

turtle

#include <iostream>
#include <cmath>
#include <algorithm>
#include <vector>
using namespace std;
int a[25], b[25], c[600005][10], d[600005][10], p[600005][10], ff[1000005];
long long int f[600005][10], g[600005][10], dd[25][25], z;
vector<pair<int, int>> v;
vector<int> vv, va;
long long int power(long long int x, long long int y, long long int mod = z) {
    long long int res = 1, h = x;
    while (y) {
        if (y & 1) res = res * h % mod;
        h = h * h % mod;
        y >>= 1;
    }
    return res;
}
long long int C(long long int n, long long int k) {
    vector<long long int> res;
    for (int i = 0; i < v.size(); i++) {
        int h = c[n][i] - c[k][i] - c[n - k][i];
        if (h >= v[i].second) {
            res.push_back(0);
            continue;
        }
        res.push_back(f[n][i] * g[k][i] % vv[i] * g[n - k][i] % vv[i] * p[h][i] % vv[i]);
    }
    long long int h = 0;
    for (int i = 0; i < v.size(); i++) {
        long long int k = z / vv[i];
        h = (h + res[i] * k % z * va[i]) % z;
    }
    return h;
}
bool check(int i, int j) {
    if (a[i] > a[j] || b[i] > b[j]) return false;
    return true;
}
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    int n, m, k, t, l;
    cin >> n >> m >> k >> t >> z;
    for (int i = 1; i <= k; i++) {
        cin >> a[i] >> b[i];
        v.push_back({a[i], b[i]});
    }
    sort(v.begin(), v.end());
    for (int i = 1; i <= k; i++) {
        a[i] = v[i - 1].first;
        b[i] = v[i - 1].second;
    }
    v.clear();
    l = z;
    int h = sqrt(z);
    for (int i = 2; i <= h; i++) {
        if (z % i == 0) {
            int c = 0;
            while (z % i == 0) {
                c++;
                z /= i;
            }
            v.push_back({i, c});
            vv.push_back(power(i, c, l));
        }
    }
    if (z != 1) v.push_back({z, 1}), vv.push_back(z);
    z = l;
    for (int i = 1; i <= n + m; i++) {
        for (int j = 0; j < v.size(); j++) {
            long long int h = v[j].first;
            while (h <= i) {
                c[i][j] += i / h;
                h *= v[j].first;
            }
            int k = i;
            while (k % v[j].first == 0) {
                k /= v[j].first;
            }
            d[i][j] = k;
        }
    }
    for (int j = 0; j < v.size(); j++) {
        va.push_back(power(z / vv[j], vv[j] - 2, vv[j]));
        f[0][j] = 1;
        for (int i = 1; i <= n + m; i++) {
            f[i][j] = f[i - 1][j] * d[i][j] % vv[j];
        }
        g[n + m][j] = power(f[n + m][j], vv[j] - 2, vv[j]);
        for (int i = n + m - 1; i >= 0; i--) {
            g[i][j] = g[i + 1][j] * d[i + 1][j] % vv[j];
        }
        p[0][j] = 1;
        for (int i = 1; i <= n + m; i++) {
            p[i][j] = 1ll * p[i - 1][j] * v[j].first % vv[j];
        }
    }
    a[k + 1] = n, b[k + 1] = m;
    k++;
    for (int i = 0; i < k; i++) {
        if (!check(i, i + 1)) continue;
        dd[i][i + 1] = C(a[i + 1] - a[i] + b[i + 1] - b[i], a[i + 1] - a[i]);
    }
    for (int d = 3; d <= k + 1; d++) {
        for (int i = 0; i <= k - d + 1; i++) {
            int j = i + d - 1;
            if (!check(i, j)) continue;
            dd[i][j] = C(a[j] - a[i] + b[j] - b[i], a[j] - a[i]);
            for (int l = i + 1; l < j; l++) {
                if (!check(i, l)) continue;
                dd[i][j] = (dd[i][j] + z - C(a[l] - a[i] + b[l] - b[i], a[l] - a[i]) * dd[l][j] % z) % z;
            }
        }
    }
    long long int res = 0;
    for (int i = 0; i < (1 << (k + 1)); i++) {
        int h = __builtin_popcount(i);
        if (h > t + 2) continue;
        if (!(i & 1) || !(i & (1 << k))) continue;
        vector<int> v;
        long long int c = 1;
        for (int j = 0; j <= k; j++) {
            if (i & (1 << j)) {
                v.push_back(j);
            }
        }
        for (int i = 1; i < v.size(); i++) {
            c *= dd[v[i - 1]][v[i]];
            c %= z;
        }
        res = (res + c) % z;
    }
    cout << res;
}

Compilation message (stderr)

turtle.cpp: In function 'long long int C(long long int, long long int)':
turtle.cpp:21:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   21 |     for (int i = 0; i < v.size(); i++) {
      |                     ~~^~~~~~~~~~
turtle.cpp:30:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   30 |     for (int i = 0; i < v.size(); i++) {
      |                     ~~^~~~~~~~~~
turtle.cpp: In function 'int main()':
turtle.cpp:71:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |         for (int j = 0; j < v.size(); j++) {
      |                         ~~^~~~~~~~~~
turtle.cpp:84:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   84 |     for (int j = 0; j < v.size(); j++) {
      |                     ~~^~~~~~~~~~
turtle.cpp:128:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  128 |         for (int i = 1; i < v.size(); i++) {
      |                         ~~^~~~~~~~~~

• Subtask 1: 50 / 100