Submission #363135

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
363135	2021-02-05T06:44:05 Z	alireza_kaviani	Boat (APIO16_boat)	C++11	100 / 100	844 ms	8588 KB

boat

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;

#define all(x)						(x).begin(),(x).end()
#define X							first
#define Y							second
#define sep							' '
#define endl						'\n'
#define SZ(x)						ll(x.size())

const ll MAXN = 1000 + 10;
const ll LOG = 22;
const ll INF = 8e18;
const ll MOD = 1e9 + 7; //998244353; //1e9 + 9;

ll n , L[MAXN] , R[MAXN] , dp[MAXN][MAXN] , ps[MAXN] , inv[MAXN];
vector<int> compress = {0};

ll poww(ll a , ll b){
	ll ans = 1;
	for( ; b ; b /= 2 , a = a * a % MOD)	if(b & 1)	ans = ans * a % MOD;
	return ans;
}

int main() {
    ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

	for(int i = 1 ; i < MAXN ; i++)	inv[i] = poww(i , MOD - 2);
//	for(int i = 1 ; i <= 5 ; i++)	cout << i << sep << inv[i] << endl;
	cin >> n;
	for(int i = 1 ; i <= n ; i++){
		cin >> L[i] >> R[i]; R[i]++;
		compress.push_back(L[i]);
		compress.push_back(R[i]);
	}
	sort(all(compress));
	compress.resize(unique(all(compress)) - compress.begin());
	dp[0][0] = 1; fill(ps , ps + MAXN , 1);
	for(int i = 1 ; i <= n ; i++){
		L[i] = lower_bound(all(compress) , L[i]) - compress.begin();
		R[i] = lower_bound(all(compress) , R[i]) - compress.begin();
		for(int j = L[i] ; j < R[i] ; j++){
			int len = compress[j + 1] - compress[j];
			for(int k = n ; k >= 2 ; k--){
				dp[j][k] = (dp[j][k] + dp[j][k - 1] * (len - k + 1) % MOD * inv[k]) % MOD;
			}
			dp[j][1] = (dp[j][1] + ps[j - 1] * len) % MOD;
		}
		ps[0] = dp[0][0];
		for(int j = 1 ; j < MAXN ; j++){
			ps[j] = ps[j - 1];
			for(int k = 0 ; k <= n ; k++){
				ps[j] = (ps[j] + dp[j][k]);
			}
			ps[j] %= MOD;
		}
	}
	cout << (ps[MAXN - 1] + MOD - 1) % MOD << endl;

    return 0;
}
/*

*/

Subtask #1
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	167 ms	4332 KB	Output is correct
2	Correct	176 ms	4416 KB	Output is correct
3	Correct	169 ms	4460 KB	Output is correct
4	Correct	170 ms	4332 KB	Output is correct
5	Correct	177 ms	4332 KB	Output is correct
6	Correct	168 ms	4332 KB	Output is correct
7	Correct	172 ms	4332 KB	Output is correct
8	Correct	167 ms	4332 KB	Output is correct
9	Correct	167 ms	4460 KB	Output is correct
10	Correct	172 ms	4332 KB	Output is correct
11	Correct	167 ms	4332 KB	Output is correct
12	Correct	170 ms	4332 KB	Output is correct
13	Correct	166 ms	4332 KB	Output is correct
14	Correct	164 ms	4332 KB	Output is correct
15	Correct	164 ms	4332 KB	Output is correct
16	Correct	163 ms	1132 KB	Output is correct
17	Correct	181 ms	1132 KB	Output is correct
18	Correct	167 ms	1132 KB	Output is correct
19	Correct	163 ms	1388 KB	Output is correct
20	Correct	170 ms	1132 KB	Output is correct

Subtask #2
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	167 ms	4332 KB	Output is correct
2	Correct	176 ms	4416 KB	Output is correct
3	Correct	169 ms	4460 KB	Output is correct
4	Correct	170 ms	4332 KB	Output is correct
5	Correct	177 ms	4332 KB	Output is correct
6	Correct	168 ms	4332 KB	Output is correct
7	Correct	172 ms	4332 KB	Output is correct
8	Correct	167 ms	4332 KB	Output is correct
9	Correct	167 ms	4460 KB	Output is correct
10	Correct	172 ms	4332 KB	Output is correct
11	Correct	167 ms	4332 KB	Output is correct
12	Correct	170 ms	4332 KB	Output is correct
13	Correct	166 ms	4332 KB	Output is correct
14	Correct	164 ms	4332 KB	Output is correct
15	Correct	164 ms	4332 KB	Output is correct
16	Correct	163 ms	1132 KB	Output is correct
17	Correct	181 ms	1132 KB	Output is correct
18	Correct	167 ms	1132 KB	Output is correct
19	Correct	163 ms	1388 KB	Output is correct
20	Correct	170 ms	1132 KB	Output is correct
21	Correct	598 ms	7660 KB	Output is correct
22	Correct	602 ms	7788 KB	Output is correct
23	Correct	569 ms	7660 KB	Output is correct
24	Correct	586 ms	7660 KB	Output is correct
25	Correct	611 ms	7660 KB	Output is correct
26	Correct	707 ms	7276 KB	Output is correct
27	Correct	729 ms	7404 KB	Output is correct
28	Correct	723 ms	7288 KB	Output is correct
29	Correct	713 ms	7276 KB	Output is correct
30	Correct	178 ms	8300 KB	Output is correct
31	Correct	178 ms	8428 KB	Output is correct
32	Correct	192 ms	8300 KB	Output is correct
33	Correct	182 ms	8300 KB	Output is correct
34	Correct	188 ms	8292 KB	Output is correct
35	Correct	197 ms	8504 KB	Output is correct
36	Correct	197 ms	8300 KB	Output is correct
37	Correct	183 ms	8428 KB	Output is correct
38	Correct	197 ms	8172 KB	Output is correct

Subtask #3
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	14 ms	1388 KB	Output is correct
2	Correct	15 ms	1388 KB	Output is correct
3	Correct	13 ms	1388 KB	Output is correct
4	Correct	14 ms	1388 KB	Output is correct
5	Correct	14 ms	1388 KB	Output is correct
6	Correct	19 ms	1388 KB	Output is correct
7	Correct	15 ms	1388 KB	Output is correct
8	Correct	15 ms	1388 KB	Output is correct
9	Correct	15 ms	1388 KB	Output is correct
10	Correct	16 ms	1388 KB	Output is correct
11	Correct	14 ms	1388 KB	Output is correct
12	Correct	14 ms	1388 KB	Output is correct
13	Correct	13 ms	1388 KB	Output is correct
14	Correct	13 ms	1388 KB	Output is correct
15	Correct	14 ms	1388 KB	Output is correct
16	Correct	12 ms	876 KB	Output is correct
17	Correct	12 ms	876 KB	Output is correct
18	Correct	14 ms	876 KB	Output is correct
19	Correct	12 ms	876 KB	Output is correct
20	Correct	13 ms	876 KB	Output is correct

Subtask #4
42.0 / 42.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	167 ms	4332 KB	Output is correct
2	Correct	176 ms	4416 KB	Output is correct
3	Correct	169 ms	4460 KB	Output is correct
4	Correct	170 ms	4332 KB	Output is correct
5	Correct	177 ms	4332 KB	Output is correct
6	Correct	168 ms	4332 KB	Output is correct
7	Correct	172 ms	4332 KB	Output is correct
8	Correct	167 ms	4332 KB	Output is correct
9	Correct	167 ms	4460 KB	Output is correct
10	Correct	172 ms	4332 KB	Output is correct
11	Correct	167 ms	4332 KB	Output is correct
12	Correct	170 ms	4332 KB	Output is correct
13	Correct	166 ms	4332 KB	Output is correct
14	Correct	164 ms	4332 KB	Output is correct
15	Correct	164 ms	4332 KB	Output is correct
16	Correct	163 ms	1132 KB	Output is correct
17	Correct	181 ms	1132 KB	Output is correct
18	Correct	167 ms	1132 KB	Output is correct
19	Correct	163 ms	1388 KB	Output is correct
20	Correct	170 ms	1132 KB	Output is correct
21	Correct	598 ms	7660 KB	Output is correct
22	Correct	602 ms	7788 KB	Output is correct
23	Correct	569 ms	7660 KB	Output is correct
24	Correct	586 ms	7660 KB	Output is correct
25	Correct	611 ms	7660 KB	Output is correct
26	Correct	707 ms	7276 KB	Output is correct
27	Correct	729 ms	7404 KB	Output is correct
28	Correct	723 ms	7288 KB	Output is correct
29	Correct	713 ms	7276 KB	Output is correct
30	Correct	178 ms	8300 KB	Output is correct
31	Correct	178 ms	8428 KB	Output is correct
32	Correct	192 ms	8300 KB	Output is correct
33	Correct	182 ms	8300 KB	Output is correct
34	Correct	188 ms	8292 KB	Output is correct
35	Correct	197 ms	8504 KB	Output is correct
36	Correct	197 ms	8300 KB	Output is correct
37	Correct	183 ms	8428 KB	Output is correct
38	Correct	197 ms	8172 KB	Output is correct
39	Correct	14 ms	1388 KB	Output is correct
40	Correct	15 ms	1388 KB	Output is correct
41	Correct	13 ms	1388 KB	Output is correct
42	Correct	14 ms	1388 KB	Output is correct
43	Correct	14 ms	1388 KB	Output is correct
44	Correct	19 ms	1388 KB	Output is correct
45	Correct	15 ms	1388 KB	Output is correct
46	Correct	15 ms	1388 KB	Output is correct
47	Correct	15 ms	1388 KB	Output is correct
48	Correct	16 ms	1388 KB	Output is correct
49	Correct	14 ms	1388 KB	Output is correct
50	Correct	14 ms	1388 KB	Output is correct
51	Correct	13 ms	1388 KB	Output is correct
52	Correct	13 ms	1388 KB	Output is correct
53	Correct	14 ms	1388 KB	Output is correct
54	Correct	12 ms	876 KB	Output is correct
55	Correct	12 ms	876 KB	Output is correct
56	Correct	14 ms	876 KB	Output is correct
57	Correct	12 ms	876 KB	Output is correct
58	Correct	13 ms	876 KB	Output is correct
59	Correct	645 ms	8300 KB	Output is correct
60	Correct	635 ms	8300 KB	Output is correct
61	Correct	607 ms	8572 KB	Output is correct
62	Correct	650 ms	8588 KB	Output is correct
63	Correct	624 ms	8300 KB	Output is correct
64	Correct	844 ms	8428 KB	Output is correct
65	Correct	789 ms	8460 KB	Output is correct
66	Correct	797 ms	8300 KB	Output is correct
67	Correct	817 ms	8300 KB	Output is correct
68	Correct	802 ms	8428 KB	Output is correct
69	Correct	606 ms	8300 KB	Output is correct
70	Correct	606 ms	8428 KB	Output is correct
71	Correct	619 ms	8444 KB	Output is correct
72	Correct	639 ms	8428 KB	Output is correct
73	Correct	629 ms	8428 KB	Output is correct
74	Correct	234 ms	1868 KB	Output is correct
75	Correct	245 ms	2028 KB	Output is correct
76	Correct	236 ms	1900 KB	Output is correct
77	Correct	256 ms	1900 KB	Output is correct
78	Correct	236 ms	1900 KB	Output is correct

Submission #363135

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 22.0 / 22.0

Subtask #3 27.0 / 27.0

Subtask #4 42.0 / 42.0

Subtask #1
9.0 / 9.0

Subtask #2
22.0 / 22.0

Subtask #3
27.0 / 27.0

Subtask #4
42.0 / 42.0