Submission #91272

# Submission time Handle Problem Language Result Execution time Memory
91272 2018-12-26T20:28:11 Z RezwanArefin01 Boat (APIO16_boat) C++17
100 / 100
661 ms 3352 KB
///usr/bin/g++ -O2 $0 -o ${0%.cpp} && echo "----------" && ./${0%.cpp}; exit;
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> ii; 

const int N = 1024; 
const int mod = 1e9 + 7;

int n, a[N], b[N], dp[N][N], inv[N], len[N]; 
vector<int> v; 

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

int main() {
    scanf("%d", &n);
    for(int i = 1; i <= n; i++) {
        scanf("%d %d", &a[i], &b[i]); 
        v.push_back(a[i]); 
        v.push_back(++b[i]); 
    } 

    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end()); 
 
    for(int i = 1; i <= n; i++) {
        a[i] = lower_bound(v.begin(), v.end(), a[i]) - v.begin() + 1; 
        b[i] = lower_bound(v.begin(), v.end(), b[i]) - v.begin() + 1; 
    }
    
    inv[1] = 1;
    for(int i = 2; i <= n; i++) 
        inv[i] = (ll) (mod - mod / i) * inv[mod % i] % mod; 

    int m = v.size() - 1; 
    for(int i = 1; i <= m; i++) len[i] = v[i] - v[i - 1];
    for(int i = 0; i <= m; i++) dp[0][i] = 1; 
    for(int i = 1; i <= n; i++) {  
        for(int j = a[i]; j < b[i]; j++) {
            int prod = len[j], cnt = 1; 
            for(int k = i - 1; k >= 0; k--) {
                add(dp[i][j], (ll) dp[k][j - 1] * prod % mod); 
                if(a[k] <= j && j < b[k]) {
                    ++cnt; 
                    prod = (ll) prod * (len[j] + cnt - 1) % mod;
                    prod = (ll) prod * inv[cnt] % mod; 
                }
            }
        }
        for(int j = 1; j <= m; j++) add(dp[i][j], dp[i][j - 1]); 
    }
    int ans = 0; 
    for(int i = 1; i <= n; i++) 
        add(ans, dp[i][m]); 
    printf("%d\n", ans);
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:17:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
boat.cpp:19:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d", &a[i], &b[i]); 
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2300 KB Output is correct
2 Correct 7 ms 2548 KB Output is correct
3 Correct 7 ms 2612 KB Output is correct
4 Correct 7 ms 2612 KB Output is correct
5 Correct 7 ms 2612 KB Output is correct
6 Correct 7 ms 2612 KB Output is correct
7 Correct 7 ms 2612 KB Output is correct
8 Correct 7 ms 2612 KB Output is correct
9 Correct 7 ms 2612 KB Output is correct
10 Correct 7 ms 2612 KB Output is correct
11 Correct 7 ms 2612 KB Output is correct
12 Correct 6 ms 2612 KB Output is correct
13 Correct 6 ms 2612 KB Output is correct
14 Correct 7 ms 2612 KB Output is correct
15 Correct 7 ms 2612 KB Output is correct
16 Correct 5 ms 2628 KB Output is correct
17 Correct 5 ms 2764 KB Output is correct
18 Correct 5 ms 2764 KB Output is correct
19 Correct 6 ms 2764 KB Output is correct
20 Correct 6 ms 2804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2300 KB Output is correct
2 Correct 7 ms 2548 KB Output is correct
3 Correct 7 ms 2612 KB Output is correct
4 Correct 7 ms 2612 KB Output is correct
5 Correct 7 ms 2612 KB Output is correct
6 Correct 7 ms 2612 KB Output is correct
7 Correct 7 ms 2612 KB Output is correct
8 Correct 7 ms 2612 KB Output is correct
9 Correct 7 ms 2612 KB Output is correct
10 Correct 7 ms 2612 KB Output is correct
11 Correct 7 ms 2612 KB Output is correct
12 Correct 6 ms 2612 KB Output is correct
13 Correct 6 ms 2612 KB Output is correct
14 Correct 7 ms 2612 KB Output is correct
15 Correct 7 ms 2612 KB Output is correct
16 Correct 5 ms 2628 KB Output is correct
17 Correct 5 ms 2764 KB Output is correct
18 Correct 5 ms 2764 KB Output is correct
19 Correct 6 ms 2764 KB Output is correct
20 Correct 6 ms 2804 KB Output is correct
21 Correct 375 ms 2804 KB Output is correct
22 Correct 363 ms 2908 KB Output is correct
23 Correct 333 ms 2908 KB Output is correct
24 Correct 354 ms 2908 KB Output is correct
25 Correct 345 ms 2924 KB Output is correct
26 Correct 570 ms 3004 KB Output is correct
27 Correct 592 ms 3004 KB Output is correct
28 Correct 561 ms 3004 KB Output is correct
29 Correct 561 ms 3004 KB Output is correct
30 Correct 9 ms 3004 KB Output is correct
31 Correct 8 ms 3004 KB Output is correct
32 Correct 8 ms 3004 KB Output is correct
33 Correct 8 ms 3004 KB Output is correct
34 Correct 9 ms 3004 KB Output is correct
35 Correct 9 ms 3004 KB Output is correct
36 Correct 9 ms 3004 KB Output is correct
37 Correct 9 ms 3004 KB Output is correct
38 Correct 9 ms 3004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 3004 KB Output is correct
2 Correct 4 ms 3004 KB Output is correct
3 Correct 5 ms 3004 KB Output is correct
4 Correct 5 ms 3004 KB Output is correct
5 Correct 5 ms 3004 KB Output is correct
6 Correct 7 ms 3004 KB Output is correct
7 Correct 7 ms 3004 KB Output is correct
8 Correct 7 ms 3004 KB Output is correct
9 Correct 7 ms 3004 KB Output is correct
10 Correct 7 ms 3004 KB Output is correct
11 Correct 5 ms 3004 KB Output is correct
12 Correct 4 ms 3004 KB Output is correct
13 Correct 4 ms 3004 KB Output is correct
14 Correct 5 ms 3004 KB Output is correct
15 Correct 5 ms 3004 KB Output is correct
16 Correct 13 ms 3004 KB Output is correct
17 Correct 4 ms 3004 KB Output is correct
18 Correct 4 ms 3004 KB Output is correct
19 Correct 3 ms 3004 KB Output is correct
20 Correct 4 ms 3004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2300 KB Output is correct
2 Correct 7 ms 2548 KB Output is correct
3 Correct 7 ms 2612 KB Output is correct
4 Correct 7 ms 2612 KB Output is correct
5 Correct 7 ms 2612 KB Output is correct
6 Correct 7 ms 2612 KB Output is correct
7 Correct 7 ms 2612 KB Output is correct
8 Correct 7 ms 2612 KB Output is correct
9 Correct 7 ms 2612 KB Output is correct
10 Correct 7 ms 2612 KB Output is correct
11 Correct 7 ms 2612 KB Output is correct
12 Correct 6 ms 2612 KB Output is correct
13 Correct 6 ms 2612 KB Output is correct
14 Correct 7 ms 2612 KB Output is correct
15 Correct 7 ms 2612 KB Output is correct
16 Correct 5 ms 2628 KB Output is correct
17 Correct 5 ms 2764 KB Output is correct
18 Correct 5 ms 2764 KB Output is correct
19 Correct 6 ms 2764 KB Output is correct
20 Correct 6 ms 2804 KB Output is correct
21 Correct 375 ms 2804 KB Output is correct
22 Correct 363 ms 2908 KB Output is correct
23 Correct 333 ms 2908 KB Output is correct
24 Correct 354 ms 2908 KB Output is correct
25 Correct 345 ms 2924 KB Output is correct
26 Correct 570 ms 3004 KB Output is correct
27 Correct 592 ms 3004 KB Output is correct
28 Correct 561 ms 3004 KB Output is correct
29 Correct 561 ms 3004 KB Output is correct
30 Correct 9 ms 3004 KB Output is correct
31 Correct 8 ms 3004 KB Output is correct
32 Correct 8 ms 3004 KB Output is correct
33 Correct 8 ms 3004 KB Output is correct
34 Correct 9 ms 3004 KB Output is correct
35 Correct 9 ms 3004 KB Output is correct
36 Correct 9 ms 3004 KB Output is correct
37 Correct 9 ms 3004 KB Output is correct
38 Correct 9 ms 3004 KB Output is correct
39 Correct 5 ms 3004 KB Output is correct
40 Correct 4 ms 3004 KB Output is correct
41 Correct 5 ms 3004 KB Output is correct
42 Correct 5 ms 3004 KB Output is correct
43 Correct 5 ms 3004 KB Output is correct
44 Correct 7 ms 3004 KB Output is correct
45 Correct 7 ms 3004 KB Output is correct
46 Correct 7 ms 3004 KB Output is correct
47 Correct 7 ms 3004 KB Output is correct
48 Correct 7 ms 3004 KB Output is correct
49 Correct 5 ms 3004 KB Output is correct
50 Correct 4 ms 3004 KB Output is correct
51 Correct 4 ms 3004 KB Output is correct
52 Correct 5 ms 3004 KB Output is correct
53 Correct 5 ms 3004 KB Output is correct
54 Correct 13 ms 3004 KB Output is correct
55 Correct 4 ms 3004 KB Output is correct
56 Correct 4 ms 3004 KB Output is correct
57 Correct 3 ms 3004 KB Output is correct
58 Correct 4 ms 3004 KB Output is correct
59 Correct 408 ms 3124 KB Output is correct
60 Correct 369 ms 3124 KB Output is correct
61 Correct 352 ms 3180 KB Output is correct
62 Correct 390 ms 3232 KB Output is correct
63 Correct 394 ms 3232 KB Output is correct
64 Correct 661 ms 3300 KB Output is correct
65 Correct 646 ms 3336 KB Output is correct
66 Correct 654 ms 3336 KB Output is correct
67 Correct 652 ms 3336 KB Output is correct
68 Correct 660 ms 3336 KB Output is correct
69 Correct 319 ms 3336 KB Output is correct
70 Correct 312 ms 3348 KB Output is correct
71 Correct 306 ms 3348 KB Output is correct
72 Correct 316 ms 3348 KB Output is correct
73 Correct 321 ms 3348 KB Output is correct
74 Correct 84 ms 3352 KB Output is correct
75 Correct 79 ms 3352 KB Output is correct
76 Correct 161 ms 3352 KB Output is correct
77 Correct 83 ms 3352 KB Output is correct
78 Correct 81 ms 3352 KB Output is correct