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Submission #1032682

# Submission time Handle Problem Language Result Execution time Memory
1032682 2024-07-24T06:08:44 Z Kerim Boat (APIO16_boat) C++17
9 / 100
 48 ms 1628 KB 
#include <bits/stdc++.h>
using namespace std;
 
using ll = long long;
 
#define sz(v) (int)(v).size()
 
const int md = (int)1e9 + 7;
 
const int N = 505;
 
vector<int> fct(N), inv(N), inv_fct(N);
 
int pw(int x, int y) {
    int res = 1;
    while (y) {
        if (y & 1) res = (ll)res * x % md;
 
        x = (ll)x * x % md; y >>= 1;
    }
 
    return res;
}
 
int C(int n, int r) {
    int x = 1;
    for (int i = 1; i <= r; i++) x = (ll)x * (n - r + i) % md;
 
    return (ll)x * inv_fct[r] % md;
}
int rdp[N][N], p[N];
int rec(int x, int y, vector<int>&v){
	if (x < 0)
		return 0;
	if (y == 1)
		return p[v[x] - 1];	
	int &ret = rdp[x][y];
	if (~ret)
		return ret;
	return ret = (rec(x-1, y, v) + rec(x-1, y-1, v)) % md;
}
int main() {
	// freopen("file.in", "r", stdin);
    ios::sync_with_stdio(false); cin.tie(nullptr);
 
    fct[0] = inv[0] = inv_fct[0] = 1;
    for (int i = 1; i < N; i++) {
        inv[i] = pw(i, md - 2);
        fct[i] = (ll)fct[i - 1] * i % md;
        inv_fct[i] = pw(fct[i], md - 2);
    }
 
    int n;
    cin >> n;
 
    map<int, vector<int>> m;
    vector<int> a(n + 1), b(n + 1);
    for (int i = 1; i <= n; i++) {
        cin >> a[i] >> b[i];
 
        m[a[i]].push_back(i);
        m[b[i] + 1].push_back(-i);
    }
 
    vector<int> mv;
    for (auto i : m) mv.push_back(i.first);
 
    set<int> s;
    vector<int> dp(n + 1);
    for (int ii = 0; ii + 1 < sz(mv); ii++) {
        for (auto j : m[mv[ii]]) {
            if (0 < j) s.insert(j);
            else s.erase(-j); 
        }
 
        int R = mv[ii + 1] - mv[ii];
        vector<int> v(s.begin(), s.end()), nw_dp = dp;
        memset(rdp, -1, sizeof rdp);
        p[0] = 1;
        for (int j = 1; j <= n; j++) 
        	p[j] = (p[j - 1] + dp[j]) % md;
        for (int i = 0; i < sz(v); i++) {
 
            nw_dp[v[i]] = (dp[v[i]] + (ll)p[v[i] - 1] * R % md) % md;
 
            for (int j = 1; j <= min(i, R - 1); j++) {
                int c = C(R, j + 1);
                nw_dp[v[i]] = (nw_dp[v[i]] + (ll)rec(i-1, j, v) * c % md) % md;

                // x = (ll)fct[j - 1] * inv_fct[j - 1] % md;
                // for (int k = i - j; k >= 0; k--) {
                //     if (k != i - j) x = ((ll)x * (i - k - 1) % md) * inv[i - k - j] % md;
 
                //     nw_dp[v[i]] = (nw_dp[v[i]] + ((ll)p[v[k] - 1] * x % md) * c % md) % md;
                // }
            }
        }
 
        dp = nw_dp;
    }
 
    int sm = 0;
    for (auto i : dp) sm = (sm + i) % md;
 
    cout << sm << '\n';
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 1372 KB Output is correct
2 Correct 22 ms 1372 KB Output is correct
3 Correct 22 ms 1368 KB Output is correct
4 Correct 22 ms 1372 KB Output is correct
5 Correct 23 ms 1368 KB Output is correct
6 Correct 23 ms 1372 KB Output is correct
7 Correct 22 ms 1368 KB Output is correct
8 Correct 23 ms 1372 KB Output is correct
9 Correct 22 ms 1600 KB Output is correct
10 Correct 22 ms 1372 KB Output is correct
11 Correct 22 ms 1372 KB Output is correct
12 Correct 24 ms 1372 KB Output is correct
13 Correct 23 ms 1372 KB Output is correct
14 Correct 25 ms 1604 KB Output is correct
15 Correct 23 ms 1372 KB Output is correct
16 Correct 5 ms 1372 KB Output is correct
17 Correct 5 ms 1372 KB Output is correct
18 Correct 5 ms 1512 KB Output is correct
19 Correct 5 ms 1372 KB Output is correct
20 Correct 5 ms 1516 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 1372 KB Output is correct
2 Correct 22 ms 1372 KB Output is correct
3 Correct 22 ms 1368 KB Output is correct
4 Correct 22 ms 1372 KB Output is correct
5 Correct 23 ms 1368 KB Output is correct
6 Correct 23 ms 1372 KB Output is correct
7 Correct 22 ms 1368 KB Output is correct
8 Correct 23 ms 1372 KB Output is correct
9 Correct 22 ms 1600 KB Output is correct
10 Correct 22 ms 1372 KB Output is correct
11 Correct 22 ms 1372 KB Output is correct
12 Correct 24 ms 1372 KB Output is correct
13 Correct 23 ms 1372 KB Output is correct
14 Correct 25 ms 1604 KB Output is correct
15 Correct 23 ms 1372 KB Output is correct
16 Correct 5 ms 1372 KB Output is correct
17 Correct 5 ms 1372 KB Output is correct
18 Correct 5 ms 1512 KB Output is correct
19 Correct 5 ms 1372 KB Output is correct
20 Correct 5 ms 1516 KB Output is correct
21 Incorrect 48 ms 1628 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 15 ms 1508 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 1372 KB Output is correct
2 Correct 22 ms 1372 KB Output is correct
3 Correct 22 ms 1368 KB Output is correct
4 Correct 22 ms 1372 KB Output is correct
5 Correct 23 ms 1368 KB Output is correct
6 Correct 23 ms 1372 KB Output is correct
7 Correct 22 ms 1368 KB Output is correct
8 Correct 23 ms 1372 KB Output is correct
9 Correct 22 ms 1600 KB Output is correct
10 Correct 22 ms 1372 KB Output is correct
11 Correct 22 ms 1372 KB Output is correct
12 Correct 24 ms 1372 KB Output is correct
13 Correct 23 ms 1372 KB Output is correct
14 Correct 25 ms 1604 KB Output is correct
15 Correct 23 ms 1372 KB Output is correct
16 Correct 5 ms 1372 KB Output is correct
17 Correct 5 ms 1372 KB Output is correct
18 Correct 5 ms 1512 KB Output is correct
19 Correct 5 ms 1372 KB Output is correct
20 Correct 5 ms 1516 KB Output is correct
21 Incorrect 48 ms 1628 KB Output isn't correct
22 Halted 0 ms 0 KB -