oj.uz

Submission #653747

# Submission time Handle Problem Language Result Execution time Memory
653747 2022-10-27T21:25:04 Z ksjsjsjsjsjsjs Boat (APIO16_boat) C++14
100 / 100
 1169 ms 6356 KB 
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include <debug.h>
#endif
#define ft front
#define bk back
#define st first
#define nd second
#define ins insert
#define ers erase
#define pb push_back
#define pf push_front
#define _pb pop_back
#define _pf pop_front
#define lb lower_bound
#define ub upper_bound
#define mtp make_tuple
#define bg begin
#define ed end
#define all(x) (x).bg(), (x).ed()
#define sz(x) (int)(x).size()
typedef long long ll; typedef unsigned long long ull;
typedef double db; typedef long double ldb;
typedef pair<int, int> pi; typedef pair<ll, ll> pll;
typedef vector<int> vi; typedef vector<ll> vll; typedef vector<pi> vpi; typedef vector<pll> vpll;
typedef string str;
template<typename T> T gcd(T a, T b) { return (b == 0? a : gcd(b, a % b)); }
template<typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
#define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
#define FOS(i, r, l) for (int (i) = (r); (i) >= (l); --(i))
#define FRN(i, n) for (int (i) = 0; (i) < (n); ++(i))
#define FSN(i, n) for (int (i) = (n) - 1; (i) >= 0; --(i))
#define EACH(i, x) for (auto &(i) : (x))
#define WHILE while
#define file "TEST"
mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) { return uniform_int_distribution<ll>(l, r)(rd); }
/*
----------------------------------------------------------------
    END OF TEMPLATE
----------------------------------------------------------------
    Tran The Bao - ghostwriter
    Training for VOI23 gold medal
----------------------------------------------------------------
	GOAT
----------------------------------------------------------------
*/
const int M = 1e9 + 7;
const int N = 502;
const int Nx2 = 1002;
int n, m, inv[N], d[Nx2][N][2], d2[Nx2][N];
pi a[N], a1[N];
vpi seg;
signed main() {
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    // freopen(file".inp", "r", stdin);
    // freopen(file".out", "w", stdout);
    cin >> n;
    FOR(i, 1, n) {
        cin >> a[i].st >> a[i].nd;
        a1[i] = a[i];
    }
    sort(a1 + 1, a1 + 1 + n);
    FOR(i, 1, n) {
        if (i == 1) {
            seg.pb(a1[i]);
            continue;
        }
        if (a1[i].st > seg.bk().nd) {
            seg.pb(a1[i]);
            continue;
        }
        vpi seg1;
        EACH(j, seg) {
            int l = j.st, r = j.nd;
            if (l <= a1[i].st && a1[i].nd <= r) {
                if (l < a1[i].st) seg1.pb({l, a1[i].st - 1});
                seg1.pb(a1[i]);
                if (r > a1[i].nd) seg1.pb({a1[i].nd + 1, r});
            }
            else if (l < a1[i].st && r >= a1[i].st) {
                seg1.pb({l, a1[i].st - 1});
                seg1.pb({a1[i].st, r});
            }
            else if (l <= a1[i].nd && r > a1[i].nd) {
                seg1.pb({l, a1[i].nd});
                seg1.pb({a1[i].nd + 1, r});
            }
            else seg1.pb({l, r});
        }
        if (a1[i].nd > seg1.bk().nd) seg1.pb({seg1.bk().nd + 1, a1[i].nd});
        swap(seg, seg1);
    }
    reverse(all(seg));
    seg.pb({-1, -1});
    reverse(all(seg));
    m = sz(seg) - 1;
    inv[1] = 1;
    FOR(i, 2, n) inv[i] = 1LL * (-M / i + M) % M * inv[M % i] % M;
    FOR(i, 1, m) {
        d2[i][0] = 1;
        int cnt = min(n, seg[i].nd - seg[i].st + 1);
        FOR(j, 1, cnt) d2[i][j] = 1LL * d2[i][j - 1] * (seg[i].nd - seg[i].st + 2 - j) % M * inv[j] % M;
    }
    FOR(i, 1, m)
    FOR(j, 0, n)
    FOR(z, 0, 1)
        d[i][j][z] = d2[i][j];
    FOR(i, 1, n) {
        FOR(j, 1, m)
        FOR(z, 0, n - i)
        FOR(stat, 0, 1) {
            if (!stat) d[j][z][stat] = 0;
            if (a[i].st <= seg[j].st && seg[j].nd <= a[i].nd) d[j][z][stat] = (d[j][z][stat] + d[j][z + 1][1]) % M;
            if (j > 1) d[j][z][stat] = (d[j][z][stat] + 1LL * d2[j][z] * d[j - 1][0][0] % M) % M;
        }
    }
    cout << (d[m][0][1] - 1 + M) % M;
    return 0;
}
/*
----------------------------------------------------------------
From Benq:
    stuff you should look for
        * int overflow, array bounds
        * special cases (n=1?)
        * do smth instead of nothing and stay organized
        * WRITE STUFF DOWN
        * DON'T GET STUCK ON ONE APPROACH
----------------------------------------------------------------
*/

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:60:5: note: in expansion of macro 'FOR'
   60 |     FOR(i, 1, n) {
      |     ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:65:5: note: in expansion of macro 'FOR'
   65 |     FOR(i, 1, n) {
      |     ^~~
boat.cpp:34:31: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
   34 | #define EACH(i, x) for (auto &(i) : (x))
      |                               ^
boat.cpp:75:9: note: in expansion of macro 'EACH'
   75 |         EACH(j, seg) {
      |         ^~~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:100:5: note: in expansion of macro 'FOR'
  100 |     FOR(i, 2, n) inv[i] = 1LL * (-M / i + M) % M * inv[M % i] % M;
      |     ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:101:5: note: in expansion of macro 'FOR'
  101 |     FOR(i, 1, m) {
      |     ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:104:9: note: in expansion of macro 'FOR'
  104 |         FOR(j, 1, cnt) d2[i][j] = 1LL * d2[i][j - 1] * (seg[i].nd - seg[i].st + 2 - j) % M * inv[j] % M;
      |         ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:106:5: note: in expansion of macro 'FOR'
  106 |     FOR(i, 1, m)
      |     ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:107:5: note: in expansion of macro 'FOR'
  107 |     FOR(j, 0, n)
      |     ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'z' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:108:5: note: in expansion of macro 'FOR'
  108 |     FOR(z, 0, 1)
      |     ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:110:5: note: in expansion of macro 'FOR'
  110 |     FOR(i, 1, n) {
      |     ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:111:9: note: in expansion of macro 'FOR'
  111 |         FOR(j, 1, m)
      |         ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'z' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:112:9: note: in expansion of macro 'FOR'
  112 |         FOR(z, 0, n - i)
      |         ^~~
boat.cpp:30:31: warning: unnecessary parentheses in declaration of 'stat' [-Wparentheses]
   30 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
boat.cpp:113:9: note: in expansion of macro 'FOR'
  113 |         FOR(stat, 0, 1) {
      |         ^~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 482 ms 3292 KB Output is correct
2 Correct 484 ms 3296 KB Output is correct
3 Correct 498 ms 3284 KB Output is correct
4 Correct 477 ms 3304 KB Output is correct
5 Correct 486 ms 3288 KB Output is correct
6 Correct 485 ms 3284 KB Output is correct
7 Correct 485 ms 3404 KB Output is correct
8 Correct 501 ms 3404 KB Output is correct
9 Correct 493 ms 3284 KB Output is correct
10 Correct 506 ms 3284 KB Output is correct
11 Correct 487 ms 3300 KB Output is correct
12 Correct 489 ms 3284 KB Output is correct
13 Correct 510 ms 3284 KB Output is correct
14 Correct 500 ms 3300 KB Output is correct
15 Correct 523 ms 3284 KB Output is correct
16 Correct 101 ms 864 KB Output is correct
17 Correct 104 ms 900 KB Output is correct
18 Correct 91 ms 884 KB Output is correct
19 Correct 94 ms 852 KB Output is correct
20 Correct 95 ms 880 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 482 ms 3292 KB Output is correct
2 Correct 484 ms 3296 KB Output is correct
3 Correct 498 ms 3284 KB Output is correct
4 Correct 477 ms 3304 KB Output is correct
5 Correct 486 ms 3288 KB Output is correct
6 Correct 485 ms 3284 KB Output is correct
7 Correct 485 ms 3404 KB Output is correct
8 Correct 501 ms 3404 KB Output is correct
9 Correct 493 ms 3284 KB Output is correct
10 Correct 506 ms 3284 KB Output is correct
11 Correct 487 ms 3300 KB Output is correct
12 Correct 489 ms 3284 KB Output is correct
13 Correct 510 ms 3284 KB Output is correct
14 Correct 500 ms 3300 KB Output is correct
15 Correct 523 ms 3284 KB Output is correct
16 Correct 101 ms 864 KB Output is correct
17 Correct 104 ms 900 KB Output is correct
18 Correct 91 ms 884 KB Output is correct
19 Correct 94 ms 852 KB Output is correct
20 Correct 95 ms 880 KB Output is correct
21 Correct 1061 ms 5724 KB Output is correct
22 Correct 1043 ms 5800 KB Output is correct
23 Correct 1010 ms 5708 KB Output is correct
24 Correct 1014 ms 5708 KB Output is correct
25 Correct 1002 ms 5672 KB Output is correct
26 Correct 1032 ms 5580 KB Output is correct
27 Correct 1048 ms 5708 KB Output is correct
28 Correct 1028 ms 5584 KB Output is correct
29 Correct 1010 ms 5524 KB Output is correct
30 Correct 979 ms 6228 KB Output is correct
31 Correct 997 ms 6228 KB Output is correct
32 Correct 987 ms 6228 KB Output is correct
33 Correct 1029 ms 6232 KB Output is correct
34 Correct 997 ms 6228 KB Output is correct
35 Correct 1047 ms 6228 KB Output is correct
36 Correct 971 ms 6228 KB Output is correct
37 Correct 981 ms 6228 KB Output is correct
38 Correct 981 ms 6212 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 1492 KB Output is correct
2 Correct 11 ms 1528 KB Output is correct
3 Correct 10 ms 1528 KB Output is correct
4 Correct 11 ms 1492 KB Output is correct
5 Correct 10 ms 1524 KB Output is correct
6 Correct 11 ms 1524 KB Output is correct
7 Correct 11 ms 1524 KB Output is correct
8 Correct 11 ms 1492 KB Output is correct
9 Correct 11 ms 1492 KB Output is correct
10 Correct 11 ms 1492 KB Output is correct
11 Correct 11 ms 1492 KB Output is correct
12 Correct 12 ms 1532 KB Output is correct
13 Correct 11 ms 1528 KB Output is correct
14 Correct 11 ms 1528 KB Output is correct
15 Correct 11 ms 1492 KB Output is correct
16 Correct 6 ms 980 KB Output is correct
17 Correct 6 ms 980 KB Output is correct
18 Correct 7 ms 980 KB Output is correct
19 Correct 7 ms 980 KB Output is correct
20 Correct 7 ms 980 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 482 ms 3292 KB Output is correct
2 Correct 484 ms 3296 KB Output is correct
3 Correct 498 ms 3284 KB Output is correct
4 Correct 477 ms 3304 KB Output is correct
5 Correct 486 ms 3288 KB Output is correct
6 Correct 485 ms 3284 KB Output is correct
7 Correct 485 ms 3404 KB Output is correct
8 Correct 501 ms 3404 KB Output is correct
9 Correct 493 ms 3284 KB Output is correct
10 Correct 506 ms 3284 KB Output is correct
11 Correct 487 ms 3300 KB Output is correct
12 Correct 489 ms 3284 KB Output is correct
13 Correct 510 ms 3284 KB Output is correct
14 Correct 500 ms 3300 KB Output is correct
15 Correct 523 ms 3284 KB Output is correct
16 Correct 101 ms 864 KB Output is correct
17 Correct 104 ms 900 KB Output is correct
18 Correct 91 ms 884 KB Output is correct
19 Correct 94 ms 852 KB Output is correct
20 Correct 95 ms 880 KB Output is correct
21 Correct 1061 ms 5724 KB Output is correct
22 Correct 1043 ms 5800 KB Output is correct
23 Correct 1010 ms 5708 KB Output is correct
24 Correct 1014 ms 5708 KB Output is correct
25 Correct 1002 ms 5672 KB Output is correct
26 Correct 1032 ms 5580 KB Output is correct
27 Correct 1048 ms 5708 KB Output is correct
28 Correct 1028 ms 5584 KB Output is correct
29 Correct 1010 ms 5524 KB Output is correct
30 Correct 979 ms 6228 KB Output is correct
31 Correct 997 ms 6228 KB Output is correct
32 Correct 987 ms 6228 KB Output is correct
33 Correct 1029 ms 6232 KB Output is correct
34 Correct 997 ms 6228 KB Output is correct
35 Correct 1047 ms 6228 KB Output is correct
36 Correct 971 ms 6228 KB Output is correct
37 Correct 981 ms 6228 KB Output is correct
38 Correct 981 ms 6212 KB Output is correct
39 Correct 10 ms 1492 KB Output is correct
40 Correct 11 ms 1528 KB Output is correct
41 Correct 10 ms 1528 KB Output is correct
42 Correct 11 ms 1492 KB Output is correct
43 Correct 10 ms 1524 KB Output is correct
44 Correct 11 ms 1524 KB Output is correct
45 Correct 11 ms 1524 KB Output is correct
46 Correct 11 ms 1492 KB Output is correct
47 Correct 11 ms 1492 KB Output is correct
48 Correct 11 ms 1492 KB Output is correct
49 Correct 11 ms 1492 KB Output is correct
50 Correct 12 ms 1532 KB Output is correct
51 Correct 11 ms 1528 KB Output is correct
52 Correct 11 ms 1528 KB Output is correct
53 Correct 11 ms 1492 KB Output is correct
54 Correct 6 ms 980 KB Output is correct
55 Correct 6 ms 980 KB Output is correct
56 Correct 7 ms 980 KB Output is correct
57 Correct 7 ms 980 KB Output is correct
58 Correct 7 ms 980 KB Output is correct
59 Correct 1125 ms 6356 KB Output is correct
60 Correct 1129 ms 6252 KB Output is correct
61 Correct 1127 ms 6256 KB Output is correct
62 Correct 1100 ms 6252 KB Output is correct
63 Correct 1110 ms 6252 KB Output is correct
64 Correct 1169 ms 6352 KB Output is correct
65 Correct 1157 ms 6252 KB Output is correct
66 Correct 1157 ms 6348 KB Output is correct
67 Correct 1167 ms 6248 KB Output is correct
68 Correct 1156 ms 6268 KB Output is correct
69 Correct 1108 ms 6256 KB Output is correct
70 Correct 1110 ms 6352 KB Output is correct
71 Correct 1139 ms 6268 KB Output is correct
72 Correct 1115 ms 6328 KB Output is correct
73 Correct 1116 ms 6248 KB Output is correct
74 Correct 193 ms 1404 KB Output is correct
75 Correct 205 ms 1432 KB Output is correct
76 Correct 213 ms 1364 KB Output is correct
77 Correct 204 ms 1416 KB Output is correct
78 Correct 193 ms 1364 KB Output is correct