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Submission #1078380

# Submission time Handle Problem Language Result Execution time Memory
1078380 2024-08-27T16:06:39 Z underwaterkillerwhale Boat (APIO16_boat) C++17
100 / 100
 542 ms 7440 KB 
#include <bits/stdc++.h>
#define ll long long
#define rep(i,m,n) for(int i=(m); i<=(n); i++)
#define reb(i,m,n) for(int i=(m); i>=(n); i--)
#define pii pair<int,int>
#define pll pair<ll,ll>
#define MP make_pair
#define fs first
#define se second
#define bit(msk, i) ((msk >> i) & 1)
#define iter(id, v) for(auto id : v)
#define pb push_back
#define SZ(v) (ll)v.size()
#define ALL(v) v.begin(),v.end()

using namespace std;

mt19937_64 rd(chrono :: steady_clock :: now ().time_since_epoch().count());
ll Rand (ll l, ll r) { return uniform_int_distribution<ll> (l, r) (rd); }

const int N = 5e2 + 7;
const int Mod = 1e9 + 7;
const int INF = 1e9;
const ll BASE = 137;
const int szBL = 320;

int n, m;
pii a[N];
int dp[N][N * 2], f[N][N * 2], com[N * 2][N], combi[N][N], inv[N];

inline void add (int &a, int b) { a = a + b; if (a >= Mod) a = a - Mod; }

bool cover (pii A, pii B) {
    return A.fs <= B.fs && A.se >= B.se;
}

void solution () {
    cin >> n;
    vector<pii> vec, seg = {MP(0, 0)};
    rep (i, 1, n) {
        cin >> a[i].fs >> a[i].se;
        vec.pb({a[i].fs, 0}), vec.pb({a[i].se, 1});
    }
    sort (ALL(vec));
    vec.resize(unique(ALL(vec)) - vec.begin());
    rep (i, 0, SZ(vec) - 2) {
        if (vec[i].se == vec[i + 1].se) {
            if (vec[i].se == 1) seg.pb({vec[i].fs + 1, vec[i + 1].fs});
            else seg.pb({vec[i].fs, vec[i + 1].fs - 1});
        }
        else {
            if (vec[i].se == 0) seg.pb({vec[i].fs, vec[i + 1].fs});
            else seg.pb({vec[i].fs + 1, vec[i +1 ].fs - 1});
        }
    }
    inv[1] = 1;
    rep (i, 2, n + 1) inv[i] = (Mod - (ll)(Mod/i) * inv[Mod % i] % Mod + Mod) % Mod;
    m = SZ(seg) - 1;
    rep (i, 0, m) {
        int Len = seg[i].se - seg[i].fs + 1;
        com[i][0] = 1;
        rep (j, 1, n + 1) {
            if (j > Len) com[i][j] = 0;
            else com[i][j] = 1LL * com[i][j - 1] * (Len - j + 1) % Mod * inv[j] % Mod;
        }
    }
    rep (i, 0, n) {
        rep (j, 0, i) {
            if (j == i || j == 0) combi[i][j] = 1;
            else combi[i][j] = (combi[i - 1][j - 1] + combi[i - 1][j]) % Mod;
        }
    }
    rep (i, 0, n) {
        rep (j, 0, m) {
            rep (k, 0, i) {
                add(f[i][j], 1LL * combi[i][k] * com[j][k + 1] % Mod);
            }
        }
    }
    rep (j, 0, m) dp[0][j] = 1;
    rep (i, 1, n) {
        dp[i][0] = 1;
        rep (j, 1, m) {
            dp[i][j] = dp[i][j - 1];
            int num = 0;
            reb (k, i, 1) {
                if (cover(a[k], seg[j])) {
                    add(dp[i][j], 1LL * dp[k - 1][j - 1] * f[num][j] % Mod);
                    ++num;
                }
            }
//            cout << i <<" "<<seg[j].fs<<","<<seg[j].se<<": "<<dp[i][j] <<"\n";
        }
    }
    cout << (dp[n][m] - 1 + Mod) % Mod <<"\n";

}


#define file(name) freopen(name".inp","r",stdin); \
freopen(name".out","w",stdout);
int main () {
//    file("c");
    ios_base :: sync_with_stdio(false); cin.tie(0); cout.tie(0);
    int num_Test = 1;
//    cin >> num_Test;
    while (num_Test--)
        solution();
}
/*
no bug challenge +4
mình có muốn dùng mảng này không?
4 5
1 3
4 1
1 2
3 2
2 1
return->break
*/

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 365 ms 7396 KB Output is correct
2 Correct 380 ms 7252 KB Output is correct
3 Correct 371 ms 7252 KB Output is correct
4 Correct 385 ms 7248 KB Output is correct
5 Correct 361 ms 7248 KB Output is correct
6 Correct 350 ms 7320 KB Output is correct
7 Correct 348 ms 7324 KB Output is correct
8 Correct 356 ms 7256 KB Output is correct
9 Correct 358 ms 7252 KB Output is correct
10 Correct 349 ms 7248 KB Output is correct
11 Correct 348 ms 7316 KB Output is correct
12 Correct 357 ms 7260 KB Output is correct
13 Correct 359 ms 7252 KB Output is correct
14 Correct 348 ms 7304 KB Output is correct
15 Correct 354 ms 7248 KB Output is correct
16 Correct 67 ms 5712 KB Output is correct
17 Correct 75 ms 5712 KB Output is correct
18 Correct 71 ms 5716 KB Output is correct
19 Correct 73 ms 5716 KB Output is correct
20 Correct 69 ms 5656 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 365 ms 7396 KB Output is correct
2 Correct 380 ms 7252 KB Output is correct
3 Correct 371 ms 7252 KB Output is correct
4 Correct 385 ms 7248 KB Output is correct
5 Correct 361 ms 7248 KB Output is correct
6 Correct 350 ms 7320 KB Output is correct
7 Correct 348 ms 7324 KB Output is correct
8 Correct 356 ms 7256 KB Output is correct
9 Correct 358 ms 7252 KB Output is correct
10 Correct 349 ms 7248 KB Output is correct
11 Correct 348 ms 7316 KB Output is correct
12 Correct 357 ms 7260 KB Output is correct
13 Correct 359 ms 7252 KB Output is correct
14 Correct 348 ms 7304 KB Output is correct
15 Correct 354 ms 7248 KB Output is correct
16 Correct 67 ms 5712 KB Output is correct
17 Correct 75 ms 5712 KB Output is correct
18 Correct 71 ms 5716 KB Output is correct
19 Correct 73 ms 5716 KB Output is correct
20 Correct 69 ms 5656 KB Output is correct
21 Correct 420 ms 7256 KB Output is correct
22 Correct 422 ms 7248 KB Output is correct
23 Correct 405 ms 7248 KB Output is correct
24 Correct 412 ms 7248 KB Output is correct
25 Correct 418 ms 7240 KB Output is correct
26 Correct 468 ms 6972 KB Output is correct
27 Correct 497 ms 6996 KB Output is correct
28 Correct 465 ms 6996 KB Output is correct
29 Correct 472 ms 6992 KB Output is correct
30 Correct 352 ms 7296 KB Output is correct
31 Correct 350 ms 7412 KB Output is correct
32 Correct 347 ms 7252 KB Output is correct
33 Correct 354 ms 7248 KB Output is correct
34 Correct 350 ms 7252 KB Output is correct
35 Correct 370 ms 7324 KB Output is correct
36 Correct 367 ms 7252 KB Output is correct
37 Correct 382 ms 7312 KB Output is correct
38 Correct 364 ms 7252 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1884 KB Output is correct
2 Correct 4 ms 1880 KB Output is correct
3 Correct 5 ms 1884 KB Output is correct
4 Correct 5 ms 1884 KB Output is correct
5 Correct 5 ms 1884 KB Output is correct
6 Correct 5 ms 1676 KB Output is correct
7 Correct 5 ms 1884 KB Output is correct
8 Correct 5 ms 1880 KB Output is correct
9 Correct 5 ms 1884 KB Output is correct
10 Correct 5 ms 1884 KB Output is correct
11 Correct 5 ms 1884 KB Output is correct
12 Correct 5 ms 1884 KB Output is correct
13 Correct 5 ms 1892 KB Output is correct
14 Correct 5 ms 1828 KB Output is correct
15 Correct 5 ms 1660 KB Output is correct
16 Correct 3 ms 1628 KB Output is correct
17 Correct 4 ms 1628 KB Output is correct
18 Correct 3 ms 1628 KB Output is correct
19 Correct 3 ms 1628 KB Output is correct
20 Correct 3 ms 1628 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 365 ms 7396 KB Output is correct
2 Correct 380 ms 7252 KB Output is correct
3 Correct 371 ms 7252 KB Output is correct
4 Correct 385 ms 7248 KB Output is correct
5 Correct 361 ms 7248 KB Output is correct
6 Correct 350 ms 7320 KB Output is correct
7 Correct 348 ms 7324 KB Output is correct
8 Correct 356 ms 7256 KB Output is correct
9 Correct 358 ms 7252 KB Output is correct
10 Correct 349 ms 7248 KB Output is correct
11 Correct 348 ms 7316 KB Output is correct
12 Correct 357 ms 7260 KB Output is correct
13 Correct 359 ms 7252 KB Output is correct
14 Correct 348 ms 7304 KB Output is correct
15 Correct 354 ms 7248 KB Output is correct
16 Correct 67 ms 5712 KB Output is correct
17 Correct 75 ms 5712 KB Output is correct
18 Correct 71 ms 5716 KB Output is correct
19 Correct 73 ms 5716 KB Output is correct
20 Correct 69 ms 5656 KB Output is correct
21 Correct 420 ms 7256 KB Output is correct
22 Correct 422 ms 7248 KB Output is correct
23 Correct 405 ms 7248 KB Output is correct
24 Correct 412 ms 7248 KB Output is correct
25 Correct 418 ms 7240 KB Output is correct
26 Correct 468 ms 6972 KB Output is correct
27 Correct 497 ms 6996 KB Output is correct
28 Correct 465 ms 6996 KB Output is correct
29 Correct 472 ms 6992 KB Output is correct
30 Correct 352 ms 7296 KB Output is correct
31 Correct 350 ms 7412 KB Output is correct
32 Correct 347 ms 7252 KB Output is correct
33 Correct 354 ms 7248 KB Output is correct
34 Correct 350 ms 7252 KB Output is correct
35 Correct 370 ms 7324 KB Output is correct
36 Correct 367 ms 7252 KB Output is correct
37 Correct 382 ms 7312 KB Output is correct
38 Correct 364 ms 7252 KB Output is correct
39 Correct 5 ms 1884 KB Output is correct
40 Correct 4 ms 1880 KB Output is correct
41 Correct 5 ms 1884 KB Output is correct
42 Correct 5 ms 1884 KB Output is correct
43 Correct 5 ms 1884 KB Output is correct
44 Correct 5 ms 1676 KB Output is correct
45 Correct 5 ms 1884 KB Output is correct
46 Correct 5 ms 1880 KB Output is correct
47 Correct 5 ms 1884 KB Output is correct
48 Correct 5 ms 1884 KB Output is correct
49 Correct 5 ms 1884 KB Output is correct
50 Correct 5 ms 1884 KB Output is correct
51 Correct 5 ms 1892 KB Output is correct
52 Correct 5 ms 1828 KB Output is correct
53 Correct 5 ms 1660 KB Output is correct
54 Correct 3 ms 1628 KB Output is correct
55 Correct 4 ms 1628 KB Output is correct
56 Correct 3 ms 1628 KB Output is correct
57 Correct 3 ms 1628 KB Output is correct
58 Correct 3 ms 1628 KB Output is correct
59 Correct 449 ms 7392 KB Output is correct
60 Correct 440 ms 7248 KB Output is correct
61 Correct 450 ms 7240 KB Output is correct
62 Correct 453 ms 7408 KB Output is correct
63 Correct 448 ms 7236 KB Output is correct
64 Correct 542 ms 7376 KB Output is correct
65 Correct 539 ms 7252 KB Output is correct
66 Correct 542 ms 7248 KB Output is correct
67 Correct 534 ms 7252 KB Output is correct
68 Correct 537 ms 7440 KB Output is correct
69 Correct 473 ms 7372 KB Output is correct
70 Correct 474 ms 7364 KB Output is correct
71 Correct 472 ms 7252 KB Output is correct
72 Correct 487 ms 7248 KB Output is correct
73 Correct 487 ms 7252 KB Output is correct
74 Correct 85 ms 5636 KB Output is correct
75 Correct 91 ms 5732 KB Output is correct
76 Correct 93 ms 5716 KB Output is correct
77 Correct 92 ms 5584 KB Output is correct
78 Correct 85 ms 5716 KB Output is correct