Submission #363134

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
363134	2021-02-05T06:41:36 Z	alireza_kaviani	Boat (APIO16_boat)	C++11	100 / 100	1535 ms	8560 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 = MAXN - 1 ; 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 < MAXN ; 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	331 ms	6380 KB	Output is correct
2	Correct	299 ms	6380 KB	Output is correct
3	Correct	352 ms	6380 KB	Output is correct
4	Correct	304 ms	6380 KB	Output is correct
5	Correct	307 ms	6412 KB	Output is correct
6	Correct	303 ms	6380 KB	Output is correct
7	Correct	300 ms	6380 KB	Output is correct
8	Correct	308 ms	6380 KB	Output is correct
9	Correct	298 ms	6380 KB	Output is correct
10	Correct	302 ms	6508 KB	Output is correct
11	Correct	315 ms	6492 KB	Output is correct
12	Correct	299 ms	6508 KB	Output is correct
13	Correct	310 ms	6404 KB	Output is correct
14	Correct	304 ms	6360 KB	Output is correct
15	Correct	302 ms	6384 KB	Output is correct
16	Correct	298 ms	1592 KB	Output is correct
17	Correct	303 ms	1644 KB	Output is correct
18	Correct	309 ms	1664 KB	Output is correct
19	Correct	307 ms	1772 KB	Output is correct
20	Correct	298 ms	1516 KB	Output is correct

Subtask #2
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	331 ms	6380 KB	Output is correct
2	Correct	299 ms	6380 KB	Output is correct
3	Correct	352 ms	6380 KB	Output is correct
4	Correct	304 ms	6380 KB	Output is correct
5	Correct	307 ms	6412 KB	Output is correct
6	Correct	303 ms	6380 KB	Output is correct
7	Correct	300 ms	6380 KB	Output is correct
8	Correct	308 ms	6380 KB	Output is correct
9	Correct	298 ms	6380 KB	Output is correct
10	Correct	302 ms	6508 KB	Output is correct
11	Correct	315 ms	6492 KB	Output is correct
12	Correct	299 ms	6508 KB	Output is correct
13	Correct	310 ms	6404 KB	Output is correct
14	Correct	304 ms	6360 KB	Output is correct
15	Correct	302 ms	6384 KB	Output is correct
16	Correct	298 ms	1592 KB	Output is correct
17	Correct	303 ms	1644 KB	Output is correct
18	Correct	309 ms	1664 KB	Output is correct
19	Correct	307 ms	1772 KB	Output is correct
20	Correct	298 ms	1516 KB	Output is correct
21	Correct	1113 ms	7684 KB	Output is correct
22	Correct	1091 ms	7916 KB	Output is correct
23	Correct	1056 ms	7788 KB	Output is correct
24	Correct	1036 ms	7532 KB	Output is correct
25	Correct	1095 ms	7532 KB	Output is correct
26	Correct	1394 ms	7276 KB	Output is correct
27	Correct	1396 ms	7404 KB	Output is correct
28	Correct	1357 ms	7276 KB	Output is correct
29	Correct	1363 ms	7276 KB	Output is correct
30	Correct	316 ms	8300 KB	Output is correct
31	Correct	326 ms	8300 KB	Output is correct
32	Correct	325 ms	8300 KB	Output is correct
33	Correct	334 ms	8384 KB	Output is correct
34	Correct	320 ms	8300 KB	Output is correct
35	Correct	323 ms	8292 KB	Output is correct
36	Correct	336 ms	8248 KB	Output is correct
37	Correct	325 ms	8484 KB	Output is correct
38	Correct	371 ms	8496 KB	Output is correct

Subtask #3
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	90 ms	1900 KB	Output is correct
2	Correct	84 ms	1900 KB	Output is correct
3	Correct	88 ms	1900 KB	Output is correct
4	Correct	93 ms	1900 KB	Output is correct
5	Correct	92 ms	1900 KB	Output is correct
6	Correct	105 ms	2028 KB	Output is correct
7	Correct	108 ms	1900 KB	Output is correct
8	Correct	104 ms	1900 KB	Output is correct
9	Correct	130 ms	2028 KB	Output is correct
10	Correct	114 ms	1900 KB	Output is correct
11	Correct	90 ms	2012 KB	Output is correct
12	Correct	98 ms	1900 KB	Output is correct
13	Correct	90 ms	1900 KB	Output is correct
14	Correct	89 ms	1900 KB	Output is correct
15	Correct	90 ms	1900 KB	Output is correct
16	Correct	80 ms	1516 KB	Output is correct
17	Correct	81 ms	1260 KB	Output is correct
18	Correct	90 ms	1260 KB	Output is correct
19	Correct	78 ms	1260 KB	Output is correct
20	Correct	78 ms	1260 KB	Output is correct

Subtask #4
42.0 / 42.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	331 ms	6380 KB	Output is correct
2	Correct	299 ms	6380 KB	Output is correct
3	Correct	352 ms	6380 KB	Output is correct
4	Correct	304 ms	6380 KB	Output is correct
5	Correct	307 ms	6412 KB	Output is correct
6	Correct	303 ms	6380 KB	Output is correct
7	Correct	300 ms	6380 KB	Output is correct
8	Correct	308 ms	6380 KB	Output is correct
9	Correct	298 ms	6380 KB	Output is correct
10	Correct	302 ms	6508 KB	Output is correct
11	Correct	315 ms	6492 KB	Output is correct
12	Correct	299 ms	6508 KB	Output is correct
13	Correct	310 ms	6404 KB	Output is correct
14	Correct	304 ms	6360 KB	Output is correct
15	Correct	302 ms	6384 KB	Output is correct
16	Correct	298 ms	1592 KB	Output is correct
17	Correct	303 ms	1644 KB	Output is correct
18	Correct	309 ms	1664 KB	Output is correct
19	Correct	307 ms	1772 KB	Output is correct
20	Correct	298 ms	1516 KB	Output is correct
21	Correct	1113 ms	7684 KB	Output is correct
22	Correct	1091 ms	7916 KB	Output is correct
23	Correct	1056 ms	7788 KB	Output is correct
24	Correct	1036 ms	7532 KB	Output is correct
25	Correct	1095 ms	7532 KB	Output is correct
26	Correct	1394 ms	7276 KB	Output is correct
27	Correct	1396 ms	7404 KB	Output is correct
28	Correct	1357 ms	7276 KB	Output is correct
29	Correct	1363 ms	7276 KB	Output is correct
30	Correct	316 ms	8300 KB	Output is correct
31	Correct	326 ms	8300 KB	Output is correct
32	Correct	325 ms	8300 KB	Output is correct
33	Correct	334 ms	8384 KB	Output is correct
34	Correct	320 ms	8300 KB	Output is correct
35	Correct	323 ms	8292 KB	Output is correct
36	Correct	336 ms	8248 KB	Output is correct
37	Correct	325 ms	8484 KB	Output is correct
38	Correct	371 ms	8496 KB	Output is correct
39	Correct	90 ms	1900 KB	Output is correct
40	Correct	84 ms	1900 KB	Output is correct
41	Correct	88 ms	1900 KB	Output is correct
42	Correct	93 ms	1900 KB	Output is correct
43	Correct	92 ms	1900 KB	Output is correct
44	Correct	105 ms	2028 KB	Output is correct
45	Correct	108 ms	1900 KB	Output is correct
46	Correct	104 ms	1900 KB	Output is correct
47	Correct	130 ms	2028 KB	Output is correct
48	Correct	114 ms	1900 KB	Output is correct
49	Correct	90 ms	2012 KB	Output is correct
50	Correct	98 ms	1900 KB	Output is correct
51	Correct	90 ms	1900 KB	Output is correct
52	Correct	89 ms	1900 KB	Output is correct
53	Correct	90 ms	1900 KB	Output is correct
54	Correct	80 ms	1516 KB	Output is correct
55	Correct	81 ms	1260 KB	Output is correct
56	Correct	90 ms	1260 KB	Output is correct
57	Correct	78 ms	1260 KB	Output is correct
58	Correct	78 ms	1260 KB	Output is correct
59	Correct	1142 ms	8508 KB	Output is correct
60	Correct	1107 ms	8300 KB	Output is correct
61	Correct	1143 ms	8300 KB	Output is correct
62	Correct	1168 ms	8556 KB	Output is correct
63	Correct	1169 ms	8428 KB	Output is correct
64	Correct	1535 ms	8300 KB	Output is correct
65	Correct	1518 ms	8356 KB	Output is correct
66	Correct	1517 ms	8260 KB	Output is correct
67	Correct	1507 ms	8324 KB	Output is correct
68	Correct	1525 ms	8416 KB	Output is correct
69	Correct	1098 ms	8316 KB	Output is correct
70	Correct	1095 ms	8356 KB	Output is correct
71	Correct	1072 ms	8300 KB	Output is correct
72	Correct	1105 ms	8300 KB	Output is correct
73	Correct	1102 ms	8560 KB	Output is correct
74	Correct	431 ms	1772 KB	Output is correct
75	Correct	454 ms	2028 KB	Output is correct
76	Correct	440 ms	2028 KB	Output is correct
77	Correct	446 ms	1908 KB	Output is correct
78	Correct	485 ms	1900 KB	Output is correct

Submission #363134

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