oj.uz

Submission #547892

# Submission time Handle Problem Language Result Execution time Memory
547892 2022-04-12T01:18:12 Z Olympia Boat (APIO16_boat) C++17
0 / 100
 273 ms 4348 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);
        }
    }
    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][pos];
                }
            }
        }
    }
    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:99:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |     for (int i = 1; i < grid.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
boat.cpp:103:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  103 |         for (int j = 1; j < grid.size(); j++) {
      |                         ~~^~~~~~~~~~~~~

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 273 ms 4232 KB Output is correct
2 Correct 266 ms 4232 KB Output is correct
3 Correct 267 ms 4256 KB Output is correct
4 Correct 267 ms 4348 KB Output is correct
5 Correct 257 ms 4260 KB Output is correct
6 Correct 191 ms 4264 KB Output is correct
7 Correct 178 ms 4260 KB Output is correct
8 Correct 183 ms 4260 KB Output is correct
9 Correct 187 ms 4172 KB Output is correct
10 Correct 180 ms 4264 KB Output is correct
11 Correct 192 ms 4232 KB Output is correct
12 Correct 188 ms 4264 KB Output is correct
13 Correct 189 ms 4340 KB Output is correct
14 Correct 173 ms 4260 KB Output is correct
15 Correct 187 ms 4260 KB Output is correct
16 Incorrect 56 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 273 ms 4232 KB Output is correct
2 Correct 266 ms 4232 KB Output is correct
3 Correct 267 ms 4256 KB Output is correct
4 Correct 267 ms 4348 KB Output is correct
5 Correct 257 ms 4260 KB Output is correct
6 Correct 191 ms 4264 KB Output is correct
7 Correct 178 ms 4260 KB Output is correct
8 Correct 183 ms 4260 KB Output is correct
9 Correct 187 ms 4172 KB Output is correct
10 Correct 180 ms 4264 KB Output is correct
11 Correct 192 ms 4232 KB Output is correct
12 Correct 188 ms 4264 KB Output is correct
13 Correct 189 ms 4340 KB Output is correct
14 Correct 173 ms 4260 KB Output is correct
15 Correct 187 ms 4260 KB Output is correct
16 Incorrect 56 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 11 ms 596 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 273 ms 4232 KB Output is correct
2 Correct 266 ms 4232 KB Output is correct
3 Correct 267 ms 4256 KB Output is correct
4 Correct 267 ms 4348 KB Output is correct
5 Correct 257 ms 4260 KB Output is correct
6 Correct 191 ms 4264 KB Output is correct
7 Correct 178 ms 4260 KB Output is correct
8 Correct 183 ms 4260 KB Output is correct
9 Correct 187 ms 4172 KB Output is correct
10 Correct 180 ms 4264 KB Output is correct
11 Correct 192 ms 4232 KB Output is correct
12 Correct 188 ms 4264 KB Output is correct
13 Correct 189 ms 4340 KB Output is correct
14 Correct 173 ms 4260 KB Output is correct
15 Correct 187 ms 4260 KB Output is correct
16 Incorrect 56 ms 1000 KB Output isn't correct
17 Halted 0 ms 0 KB -