oj.uz

Submission #547894

# Submission time Handle Problem Language Result Execution time Memory
547894 2022-04-12T01:29:34 Z Olympia Boat (APIO16_boat) C++17
0 / 100
 312 ms 4300 KB 
#include <cmath>
#include <iostream>
#include <set>
#include <climits>
#include <algorithm>
#include <cassert>
#include <vector>
#include <iomanip>
#include <type_traits>
#include <string>
#include <queue>
#include <map>

const int M = 1e9 + 7;
const int MOD = 1e9 + 7;
using namespace std;
int64_t binPow (int64_t x, int64_t y) {
    int64_t ans = 1, res = x;
    while (y) {
        if (y & 1) ans *= res, ans %= MOD;
        res *= res, res %= MOD, y /= 2;
    }
    return ans;
}
int64_t inv (int64_t x) {
    return binPow(x, MOD - 2);
}
struct modint {
    modint() : n(0) {}
    template <class T> modint(T n) { n %= M; if (n < 0) n += M; this->n = n; }

    modint & operator+=(const modint &r) { n += r.n; if (n >= M) n -= M; return *this; }
    modint & operator-=(const modint &r) { n -= r.n; if (n < 0) n += M; return *this; }
    modint & operator*=(const modint &r) { n = (int) ((long long) n * r.n % M); return *this; }

    modint & operator--() { if (--n == -1) n = M - 1; return *this; }
    modint & operator++() { if (++n == M) n = 0; return *this; }
    modint operator--(int) { modint t = *this; --*this; return t; }
    modint operator++(int) { modint t = *this; ++*this; return t; }

    modint operator-() const { return 0 - *this; }
    modint operator+() const { return *this; }

    modint pow(long long k = M - 2) const {
        modint f = *this, p = 1;
        while (k > 0) {
            if (k % 2 == 1) f *= p;
            p *= p, k /= 2;
        }
        return f;
    }

    int mod() const { return M; }

    friend modint operator+(modint l, const modint &r) { return l += r; }
    friend modint operator-(modint l, const modint &r) { return l -= r; }
    friend modint operator*(modint l, const modint &r) { return l *= r; }

    friend bool operator==(const modint &l, const modint &r) { return l.n == r.n; }
    friend bool operator!=(const modint &l, const modint &r) { return l.n != r.n; }

    friend ostream & operator<<(ostream &out, const modint &r) { return out << r.n; }

    int n;
};

vector<pair<int,int>> compress (vector<pair<int,int>> &vec) {
    set<int> s;
    for (auto& p: vec) {
        s.insert(p.first), s.insert(p.second);
    }
    vector<int> v; for (int i: s) v.push_back(i);
    vector<pair<int,int>> grids;
    grids.emplace_back(-1, -1);
    for (int i = 0; i < v.size(); i++) {
        grids.emplace_back(v[i], v[i]);
        if (i + 1 != v.size() && v[i] + 1 <= v[i + 1] - 1) grids.emplace_back(v[i] + 1, v[i + 1] - 1);
    }
    return grids;
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int N; cin >> N;
    vector<pair<int,int>> points(N);
    for (int i = 0; i < N; i++) cin >> points[i].first >> points[i].second;
    vector<pair<int,int>> grid = compress(points);
    modint combo[grid.size()][N + 1];
    for (int i = 0; i < grid.size(); i++) {
        combo[i][0] = 1;
        for (int j = 1; j <= N; j++) {
            combo[i][j] = (combo[i][j - 1] * ((modint)j).pow()) * (grid[i].second - grid[i].first - j + 2);
        }
        for (int j = 1; j <= N; j++) {
            combo[i][j] += combo[i][j - 1];
        }
    }
    modint dp[N + 1][grid.size()];
    for (int i = 0; i <= N; i++) {
        dp[i][0] = 1;
    }
    for (int i = 1; i < grid.size(); i++) {
        dp[0][i] = 1;
    }
    for (int i = 1; i <= N; i++) {
        for (int j = 1; j < grid.size(); j++) {
            dp[i][j] = dp[i][j - 1];
            int pos = 0;
            for (int k = i; k >= 1; k--) {
                if (grid[j].first >= points[k - 1].first && grid[j].second <= points[k - 1].second) {
                    pos ++;
                    dp[i][j] += dp[k - 1][j - 1] * combo[j - 1][pos - 1];
                }
            }
        }
    }
    cout << dp[N][grid.size() - 1] - 1;
}

Compilation message

boat.cpp: In function 'std::vector<std::pair<int, int> > compress(std::vector<std::pair<int, int> >&)':
boat.cpp:75:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   75 |     for (int i = 0; i < v.size(); i++) {
      |                     ~~^~~~~~~~~~
boat.cpp:77:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   77 |         if (i + 1 != v.size() && v[i] + 1 <= v[i + 1] - 1) grids.emplace_back(v[i] + 1, v[i + 1] - 1);
      |             ~~~~~~^~~~~~~~~~~
boat.cpp: In function 'int main()':
boat.cpp:89:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |     for (int i = 0; i < grid.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
boat.cpp:102:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  102 |     for (int i = 1; i < grid.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
boat.cpp:106:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  106 |         for (int j = 1; j < grid.size(); j++) {
      |                         ~~^~~~~~~~~~~~~

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 296 ms 4276 KB Output is correct
2 Correct 296 ms 4232 KB Output is correct
3 Correct 312 ms 4300 KB Output is correct
4 Correct 285 ms 4264 KB Output is correct
5 Correct 306 ms 4172 KB Output is correct
6 Correct 206 ms 4260 KB Output is correct
7 Correct 210 ms 4260 KB Output is correct
8 Correct 198 ms 4224 KB Output is correct
9 Correct 221 ms 4260 KB Output is correct
10 Correct 201 ms 4264 KB Output is correct
11 Correct 223 ms 4268 KB Output is correct
12 Correct 221 ms 4256 KB Output is correct
13 Correct 197 ms 4264 KB Output is correct
14 Correct 194 ms 4176 KB Output is correct
15 Correct 204 ms 4300 KB Output is correct
16 Incorrect 65 ms 1000 KB Output isn't correct
17 Halted 0 ms 0 KB -

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 296 ms 4276 KB Output is correct
2 Correct 296 ms 4232 KB Output is correct
3 Correct 312 ms 4300 KB Output is correct
4 Correct 285 ms 4264 KB Output is correct
5 Correct 306 ms 4172 KB Output is correct
6 Correct 206 ms 4260 KB Output is correct
7 Correct 210 ms 4260 KB Output is correct
8 Correct 198 ms 4224 KB Output is correct
9 Correct 221 ms 4260 KB Output is correct
10 Correct 201 ms 4264 KB Output is correct
11 Correct 223 ms 4268 KB Output is correct
12 Correct 221 ms 4256 KB Output is correct
13 Correct 197 ms 4264 KB Output is correct
14 Correct 194 ms 4176 KB Output is correct
15 Correct 204 ms 4300 KB Output is correct
16 Incorrect 65 ms 1000 KB Output isn't correct
17 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 16 ms 644 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 296 ms 4276 KB Output is correct
2 Correct 296 ms 4232 KB Output is correct
3 Correct 312 ms 4300 KB Output is correct
4 Correct 285 ms 4264 KB Output is correct
5 Correct 306 ms 4172 KB Output is correct
6 Correct 206 ms 4260 KB Output is correct
7 Correct 210 ms 4260 KB Output is correct
8 Correct 198 ms 4224 KB Output is correct
9 Correct 221 ms 4260 KB Output is correct
10 Correct 201 ms 4264 KB Output is correct
11 Correct 223 ms 4268 KB Output is correct
12 Correct 221 ms 4256 KB Output is correct
13 Correct 197 ms 4264 KB Output is correct
14 Correct 194 ms 4176 KB Output is correct
15 Correct 204 ms 4300 KB Output is correct
16 Incorrect 65 ms 1000 KB Output isn't correct
17 Halted 0 ms 0 KB -