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Submission #23343

# Submission time Handle Problem Language Result Execution time Memory
23343 2017-05-06T11:32:07 Z duongthoi1999 Boat (APIO16_boat) C++14
100 / 100
 1076 ms 10088 KB 
#include <bits/stdc++.h>
using namespace std;
#define rep(i,a,n) for (int i=a;i<n;i++)
#define per(i,a,n) for (int i=n-1;i>=a;i--)
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define fi first
#define se second
#define SZ(x) ((int)(x).size())
typedef long long ll;
typedef long double ld;
typedef pair<ll, int> ii;
const int mod = (int) 1e9 + 7;
const ll inf = 1LL << 60;
const int maxn = (int) 1005;
const ld eps = 1e-9;

void add(int &a, ll b) {
    a += (b % mod);
    while (a >= mod) a -= mod;
}

ll pw(ll a, int b) {
    ll res = 1;
    while (b) {
        if(b & 1) res = res * a % mod;
        a = a * a % mod;
        b >>= 1;
    }
    return res;
}

int n, m, a[maxn], b[maxn], sz[maxn];
int f[maxn][maxn], inv[maxn], C[maxn][maxn];
vector<int> p;

int main() {
    //freopen("test.txt", "r", stdin);
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> n;
    rep(i, 1, n + 1) {
        cin >> a[i] >> b[i];
        b[i] ++;
        p.pb(a[i]);
        p.pb(b[i]);
        inv[i] = pw(i, mod - 2);
    }
    p.pb(0);
    sort(all(p));
    p.resize(unique(all(p)) - p.begin());
    rep(i, 1, n + 1) a[i] = lower_bound(all(p), a[i]) - p.begin();
    rep(i, 1, n + 1) b[i] = lower_bound(all(p), b[i]) - p.begin();
    m = SZ(p) - 2;
    rep(i, 1, m + 1) sz[i] = p[i + 1] - p[i];
    rep(i, 0, m + 1) f[0][i] = 1;
    rep(i, 1, n + 1) {
        rep(k, a[i], b[i]) {
            ll cnt = 1, x = sz[k], y = 1;
            per(j, 0, i) {
                if(a[j + 1] <= k && k < b[j + 1]) {
                    cnt = ((cnt * x % mod) * inv[y]) % mod;
                    x ++, y ++;
                }
                add(f[i][k], cnt * f[j][k - 1]);
            }
        }
        rep(j, 1, m + 1) add(f[i][j], f[i][j - 1]);
    }
    int ans = 0;
    rep(i, 1, n + 1) add(ans, f[i][m]);
    cout << ans << endl;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10088 KB Output is correct
2 Correct 6 ms 10088 KB Output is correct
3 Correct 3 ms 10088 KB Output is correct
4 Correct 3 ms 10088 KB Output is correct
5 Correct 6 ms 10088 KB Output is correct
6 Correct 6 ms 10088 KB Output is correct
7 Correct 6 ms 10088 KB Output is correct
8 Correct 6 ms 10088 KB Output is correct
9 Correct 6 ms 10088 KB Output is correct
10 Correct 6 ms 10088 KB Output is correct
11 Correct 9 ms 10088 KB Output is correct
12 Correct 6 ms 10088 KB Output is correct
13 Correct 6 ms 10088 KB Output is correct
14 Correct 6 ms 10088 KB Output is correct
15 Correct 3 ms 10088 KB Output is correct
16 Correct 3 ms 10088 KB Output is correct
17 Correct 3 ms 10088 KB Output is correct
18 Correct 3 ms 10088 KB Output is correct
19 Correct 3 ms 10088 KB Output is correct
20 Correct 3 ms 10088 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10088 KB Output is correct
2 Correct 6 ms 10088 KB Output is correct
3 Correct 3 ms 10088 KB Output is correct
4 Correct 3 ms 10088 KB Output is correct
5 Correct 6 ms 10088 KB Output is correct
6 Correct 6 ms 10088 KB Output is correct
7 Correct 6 ms 10088 KB Output is correct
8 Correct 6 ms 10088 KB Output is correct
9 Correct 6 ms 10088 KB Output is correct
10 Correct 6 ms 10088 KB Output is correct
11 Correct 9 ms 10088 KB Output is correct
12 Correct 6 ms 10088 KB Output is correct
13 Correct 6 ms 10088 KB Output is correct
14 Correct 6 ms 10088 KB Output is correct
15 Correct 3 ms 10088 KB Output is correct
16 Correct 3 ms 10088 KB Output is correct
17 Correct 3 ms 10088 KB Output is correct
18 Correct 3 ms 10088 KB Output is correct
19 Correct 3 ms 10088 KB Output is correct
20 Correct 3 ms 10088 KB Output is correct
21 Correct 699 ms 10088 KB Output is correct
22 Correct 673 ms 10088 KB Output is correct
23 Correct 633 ms 10088 KB Output is correct
24 Correct 653 ms 10088 KB Output is correct
25 Correct 666 ms 10088 KB Output is correct
26 Correct 946 ms 10088 KB Output is correct
27 Correct 966 ms 10088 KB Output is correct
28 Correct 923 ms 10088 KB Output is correct
29 Correct 926 ms 10088 KB Output is correct
30 Correct 13 ms 10088 KB Output is correct
31 Correct 13 ms 10088 KB Output is correct
32 Correct 13 ms 10088 KB Output is correct
33 Correct 9 ms 10088 KB Output is correct
34 Correct 13 ms 10088 KB Output is correct
35 Correct 6 ms 10088 KB Output is correct
36 Correct 9 ms 10088 KB Output is correct
37 Correct 13 ms 10088 KB Output is correct
38 Correct 9 ms 10088 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10088 KB Output is correct
2 Correct 3 ms 10088 KB Output is correct
3 Correct 3 ms 10088 KB Output is correct
4 Correct 6 ms 10088 KB Output is correct
5 Correct 6 ms 10088 KB Output is correct
6 Correct 6 ms 10088 KB Output is correct
7 Correct 6 ms 10088 KB Output is correct
8 Correct 6 ms 10088 KB Output is correct
9 Correct 6 ms 10088 KB Output is correct
10 Correct 9 ms 10088 KB Output is correct
11 Correct 3 ms 10088 KB Output is correct
12 Correct 3 ms 10088 KB Output is correct
13 Correct 3 ms 10088 KB Output is correct
14 Correct 3 ms 10088 KB Output is correct
15 Correct 3 ms 10088 KB Output is correct
16 Correct 3 ms 10088 KB Output is correct
17 Correct 3 ms 10088 KB Output is correct
18 Correct 3 ms 10088 KB Output is correct
19 Correct 3 ms 10088 KB Output is correct
20 Correct 3 ms 10088 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10088 KB Output is correct
2 Correct 6 ms 10088 KB Output is correct
3 Correct 3 ms 10088 KB Output is correct
4 Correct 3 ms 10088 KB Output is correct
5 Correct 6 ms 10088 KB Output is correct
6 Correct 6 ms 10088 KB Output is correct
7 Correct 6 ms 10088 KB Output is correct
8 Correct 6 ms 10088 KB Output is correct
9 Correct 6 ms 10088 KB Output is correct
10 Correct 6 ms 10088 KB Output is correct
11 Correct 9 ms 10088 KB Output is correct
12 Correct 6 ms 10088 KB Output is correct
13 Correct 6 ms 10088 KB Output is correct
14 Correct 6 ms 10088 KB Output is correct
15 Correct 3 ms 10088 KB Output is correct
16 Correct 3 ms 10088 KB Output is correct
17 Correct 3 ms 10088 KB Output is correct
18 Correct 3 ms 10088 KB Output is correct
19 Correct 3 ms 10088 KB Output is correct
20 Correct 3 ms 10088 KB Output is correct
21 Correct 699 ms 10088 KB Output is correct
22 Correct 673 ms 10088 KB Output is correct
23 Correct 633 ms 10088 KB Output is correct
24 Correct 653 ms 10088 KB Output is correct
25 Correct 666 ms 10088 KB Output is correct
26 Correct 946 ms 10088 KB Output is correct
27 Correct 966 ms 10088 KB Output is correct
28 Correct 923 ms 10088 KB Output is correct
29 Correct 926 ms 10088 KB Output is correct
30 Correct 13 ms 10088 KB Output is correct
31 Correct 13 ms 10088 KB Output is correct
32 Correct 13 ms 10088 KB Output is correct
33 Correct 9 ms 10088 KB Output is correct
34 Correct 13 ms 10088 KB Output is correct
35 Correct 6 ms 10088 KB Output is correct
36 Correct 9 ms 10088 KB Output is correct
37 Correct 13 ms 10088 KB Output is correct
38 Correct 9 ms 10088 KB Output is correct
39 Correct 6 ms 10088 KB Output is correct
40 Correct 3 ms 10088 KB Output is correct
41 Correct 3 ms 10088 KB Output is correct
42 Correct 6 ms 10088 KB Output is correct
43 Correct 6 ms 10088 KB Output is correct
44 Correct 6 ms 10088 KB Output is correct
45 Correct 6 ms 10088 KB Output is correct
46 Correct 6 ms 10088 KB Output is correct
47 Correct 6 ms 10088 KB Output is correct
48 Correct 9 ms 10088 KB Output is correct
49 Correct 3 ms 10088 KB Output is correct
50 Correct 3 ms 10088 KB Output is correct
51 Correct 3 ms 10088 KB Output is correct
52 Correct 3 ms 10088 KB Output is correct
53 Correct 3 ms 10088 KB Output is correct
54 Correct 3 ms 10088 KB Output is correct
55 Correct 3 ms 10088 KB Output is correct
56 Correct 3 ms 10088 KB Output is correct
57 Correct 3 ms 10088 KB Output is correct
58 Correct 3 ms 10088 KB Output is correct
59 Correct 746 ms 10088 KB Output is correct
60 Correct 723 ms 10088 KB Output is correct
61 Correct 646 ms 10088 KB Output is correct
62 Correct 743 ms 10088 KB Output is correct
63 Correct 753 ms 10088 KB Output is correct
64 Correct 1073 ms 10088 KB Output is correct
65 Correct 1069 ms 10088 KB Output is correct
66 Correct 1059 ms 10088 KB Output is correct
67 Correct 1069 ms 10088 KB Output is correct
68 Correct 1076 ms 10088 KB Output is correct
69 Correct 589 ms 10088 KB Output is correct
70 Correct 576 ms 10088 KB Output is correct
71 Correct 569 ms 10088 KB Output is correct
72 Correct 606 ms 10088 KB Output is correct
73 Correct 609 ms 10088 KB Output is correct
74 Correct 139 ms 10088 KB Output is correct
75 Correct 126 ms 10088 KB Output is correct
76 Correct 136 ms 10088 KB Output is correct
77 Correct 133 ms 10088 KB Output is correct
78 Correct 149 ms 10088 KB Output is correct