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Submission #417887

# Submission time Handle Problem Language Result Execution time Memory
417887 2021-06-04T13:02:16 Z erfanmir Boat (APIO16_boat) C++17
100 / 100
 816 ms 4480 KB 
// In the name of god

#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp> 
#include <ext/pb_ds/tree_policy.hpp> 

using namespace std;
using namespace __gnu_pbds; 

template < class T > using ordered_set = tree < T , null_type , less < T > , rb_tree_tag , tree_order_statistics_node_update >;
  
typedef long long                   ll;
typedef long double                 ld;
typedef pair<int,int>               pii;
typedef pair<ll,ll>                 pll;
#define all(x)                      (x).begin(),(x).end()
#define lc(x)                       (x) << 1
#define rc(x)                       (x) << 1 | 1
#define F                           first
#define S                           second
#define fast_io                     ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io                     freopen("in.txt" , "r+" , stdin) ; freopen("out.txt" , "w+" , stdout);
#define mp                          make_pair
ll poww(ll a, ll b, ll md) {
    ll ans = 1;
    for(; b; b >>= 1, a = a * a % md){
        if(b & 1){
            ans = ans * a % md;
        }
    }
    return ans % md;
}

const int MAXN = 1000 + 10;
const int MAXLG = 18;
const int MOD = 1e9 + 7;
const int MOD2 = 998244353;
const ll INF = 8e18;
int n, a[MAXN], b[MAXN];
vector<int> vec;
ll dp[MAXN][MAXN], x[MAXN], ans, inv[MAXN];

int main()
{
    scanf("%d", &n);
    for(int i = 0; i <= n; i++){
        inv[i] = poww(i, MOD - 2, MOD);
    }
    for(int i = 1; i <= n; i++){
        scanf("%d %d", a + i, b + i);
        b[i]++;
        vec.push_back(b[i]);
        vec.push_back(a[i]);
    }
    sort(all(vec));
    vec.erase(unique(all(vec)), vec.end());
    for(int i = 1; i < (int)vec.size(); i++){
        x[i] = vec[i] - vec[i - 1];
    }
    for(int i = 1; i <= n; i++){
        a[i] = lower_bound(all(vec), a[i]) - vec.begin();
        b[i] = lower_bound(all(vec), b[i]) - vec.begin();
    }
    for(int i = 0; i < (int)vec.size(); i++){
        dp[0][i] = 1;
    }
    for(int i = 1; i <= n; i++){
        for(int j = 1; j < (int)vec.size(); j++){
            if(!(a[i] < j && b[i] >= j)){
                continue;
            }
            ll tmp = x[j], kmp = x[j], vlc = 1;
            for(int k = i - 1; k >= 0; k--){
                dp[i][j] += (dp[k][j - 1] * tmp) % MOD;
                dp[i][j] %= MOD;
                if(a[k] < j && b[k] >= j){
                    kmp++;
                    vlc++;
                    kmp %= MOD;
                    vlc %= MOD;
                    tmp *= (kmp * inv[vlc]) % MOD;
                    tmp %= MOD;
                }
            }
            //printf(":: %d %d %lld\n", i, j, dp[i][j]); 
        }
        for(int j = 1; j < (int)vec.size();j++){
            dp[i][j] += dp[i][j - 1];
            dp[i][j] %= MOD;
        }
    }
    for(int i = 1; i <= n; i++){
        ans += dp[i][(int)vec.size() - 1];
        ans %= MOD;
    }
    printf("%lld\n", ans);
}

Compilation message

boat.cpp:3: warning: ignoring '#pragma comment ' [-Wunknown-pragmas]
    3 | #pragma comment(linker, "/stack:200000000")
      | 
boat.cpp: In function 'int main()':
boat.cpp:47:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   47 |     scanf("%d", &n);
      |     ~~~~~^~~~~~~~~~
boat.cpp:52:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   52 |         scanf("%d %d", a + i, b + i);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4172 KB Output is correct
2 Correct 7 ms 4172 KB Output is correct
3 Correct 7 ms 4172 KB Output is correct
4 Correct 7 ms 4172 KB Output is correct
5 Correct 8 ms 4300 KB Output is correct
6 Correct 7 ms 4208 KB Output is correct
7 Correct 7 ms 4300 KB Output is correct
8 Correct 8 ms 4196 KB Output is correct
9 Correct 7 ms 4172 KB Output is correct
10 Correct 8 ms 4172 KB Output is correct
11 Correct 7 ms 4204 KB Output is correct
12 Correct 7 ms 4300 KB Output is correct
13 Correct 7 ms 4300 KB Output is correct
14 Correct 7 ms 4196 KB Output is correct
15 Correct 7 ms 4208 KB Output is correct
16 Correct 4 ms 3020 KB Output is correct
17 Correct 4 ms 3020 KB Output is correct
18 Correct 4 ms 3020 KB Output is correct
19 Correct 4 ms 3020 KB Output is correct
20 Correct 4 ms 3020 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4172 KB Output is correct
2 Correct 7 ms 4172 KB Output is correct
3 Correct 7 ms 4172 KB Output is correct
4 Correct 7 ms 4172 KB Output is correct
5 Correct 8 ms 4300 KB Output is correct
6 Correct 7 ms 4208 KB Output is correct
7 Correct 7 ms 4300 KB Output is correct
8 Correct 8 ms 4196 KB Output is correct
9 Correct 7 ms 4172 KB Output is correct
10 Correct 8 ms 4172 KB Output is correct
11 Correct 7 ms 4204 KB Output is correct
12 Correct 7 ms 4300 KB Output is correct
13 Correct 7 ms 4300 KB Output is correct
14 Correct 7 ms 4196 KB Output is correct
15 Correct 7 ms 4208 KB Output is correct
16 Correct 4 ms 3020 KB Output is correct
17 Correct 4 ms 3020 KB Output is correct
18 Correct 4 ms 3020 KB Output is correct
19 Correct 4 ms 3020 KB Output is correct
20 Correct 4 ms 3020 KB Output is correct
21 Correct 450 ms 4292 KB Output is correct
22 Correct 412 ms 4164 KB Output is correct
23 Correct 387 ms 4200 KB Output is correct
24 Correct 415 ms 4192 KB Output is correct
25 Correct 468 ms 4176 KB Output is correct
26 Correct 711 ms 4176 KB Output is correct
27 Correct 746 ms 4396 KB Output is correct
28 Correct 703 ms 4184 KB Output is correct
29 Correct 692 ms 4172 KB Output is correct
30 Correct 8 ms 4300 KB Output is correct
31 Correct 8 ms 4276 KB Output is correct
32 Correct 8 ms 4168 KB Output is correct
33 Correct 8 ms 4236 KB Output is correct
34 Correct 9 ms 4312 KB Output is correct
35 Correct 9 ms 4300 KB Output is correct
36 Correct 9 ms 4300 KB Output is correct
37 Correct 9 ms 4304 KB Output is correct
38 Correct 8 ms 4300 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 844 KB Output is correct
2 Correct 4 ms 844 KB Output is correct
3 Correct 4 ms 844 KB Output is correct
4 Correct 4 ms 844 KB Output is correct
5 Correct 5 ms 824 KB Output is correct
6 Correct 7 ms 844 KB Output is correct
7 Correct 7 ms 844 KB Output is correct
8 Correct 7 ms 844 KB Output is correct
9 Correct 7 ms 844 KB Output is correct
10 Correct 8 ms 844 KB Output is correct
11 Correct 4 ms 844 KB Output is correct
12 Correct 4 ms 844 KB Output is correct
13 Correct 4 ms 844 KB Output is correct
14 Correct 4 ms 844 KB Output is correct
15 Correct 5 ms 844 KB Output is correct
16 Correct 3 ms 716 KB Output is correct
17 Correct 3 ms 716 KB Output is correct
18 Correct 3 ms 716 KB Output is correct
19 Correct 3 ms 716 KB Output is correct
20 Correct 3 ms 716 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4172 KB Output is correct
2 Correct 7 ms 4172 KB Output is correct
3 Correct 7 ms 4172 KB Output is correct
4 Correct 7 ms 4172 KB Output is correct
5 Correct 8 ms 4300 KB Output is correct
6 Correct 7 ms 4208 KB Output is correct
7 Correct 7 ms 4300 KB Output is correct
8 Correct 8 ms 4196 KB Output is correct
9 Correct 7 ms 4172 KB Output is correct
10 Correct 8 ms 4172 KB Output is correct
11 Correct 7 ms 4204 KB Output is correct
12 Correct 7 ms 4300 KB Output is correct
13 Correct 7 ms 4300 KB Output is correct
14 Correct 7 ms 4196 KB Output is correct
15 Correct 7 ms 4208 KB Output is correct
16 Correct 4 ms 3020 KB Output is correct
17 Correct 4 ms 3020 KB Output is correct
18 Correct 4 ms 3020 KB Output is correct
19 Correct 4 ms 3020 KB Output is correct
20 Correct 4 ms 3020 KB Output is correct
21 Correct 450 ms 4292 KB Output is correct
22 Correct 412 ms 4164 KB Output is correct
23 Correct 387 ms 4200 KB Output is correct
24 Correct 415 ms 4192 KB Output is correct
25 Correct 468 ms 4176 KB Output is correct
26 Correct 711 ms 4176 KB Output is correct
27 Correct 746 ms 4396 KB Output is correct
28 Correct 703 ms 4184 KB Output is correct
29 Correct 692 ms 4172 KB Output is correct
30 Correct 8 ms 4300 KB Output is correct
31 Correct 8 ms 4276 KB Output is correct
32 Correct 8 ms 4168 KB Output is correct
33 Correct 8 ms 4236 KB Output is correct
34 Correct 9 ms 4312 KB Output is correct
35 Correct 9 ms 4300 KB Output is correct
36 Correct 9 ms 4300 KB Output is correct
37 Correct 9 ms 4304 KB Output is correct
38 Correct 8 ms 4300 KB Output is correct
39 Correct 4 ms 844 KB Output is correct
40 Correct 4 ms 844 KB Output is correct
41 Correct 4 ms 844 KB Output is correct
42 Correct 4 ms 844 KB Output is correct
43 Correct 5 ms 824 KB Output is correct
44 Correct 7 ms 844 KB Output is correct
45 Correct 7 ms 844 KB Output is correct
46 Correct 7 ms 844 KB Output is correct
47 Correct 7 ms 844 KB Output is correct
48 Correct 8 ms 844 KB Output is correct
49 Correct 4 ms 844 KB Output is correct
50 Correct 4 ms 844 KB Output is correct
51 Correct 4 ms 844 KB Output is correct
52 Correct 4 ms 844 KB Output is correct
53 Correct 5 ms 844 KB Output is correct
54 Correct 3 ms 716 KB Output is correct
55 Correct 3 ms 716 KB Output is correct
56 Correct 3 ms 716 KB Output is correct
57 Correct 3 ms 716 KB Output is correct
58 Correct 3 ms 716 KB Output is correct
59 Correct 465 ms 4352 KB Output is correct
60 Correct 435 ms 4208 KB Output is correct
61 Correct 399 ms 4400 KB Output is correct
62 Correct 447 ms 4236 KB Output is correct
63 Correct 436 ms 4204 KB Output is correct
64 Correct 816 ms 4468 KB Output is correct
65 Correct 810 ms 4264 KB Output is correct
66 Correct 805 ms 4372 KB Output is correct
67 Correct 790 ms 4240 KB Output is correct
68 Correct 797 ms 4292 KB Output is correct
69 Correct 353 ms 4256 KB Output is correct
70 Correct 355 ms 4236 KB Output is correct
71 Correct 351 ms 4220 KB Output is correct
72 Correct 364 ms 4480 KB Output is correct
73 Correct 392 ms 4280 KB Output is correct
74 Correct 91 ms 3000 KB Output is correct
75 Correct 84 ms 2972 KB Output is correct
76 Correct 89 ms 3016 KB Output is correct
77 Correct 88 ms 2984 KB Output is correct
78 Correct 95 ms 2992 KB Output is correct