oj.uz

Submission #554359

# Submission time Handle Problem Language Result Execution time Memory
554359 2022-04-28T08:41:39 Z AmShZ Boat (APIO16_boat) C++11
100 / 100
 1101 ms 16456 KB 
# include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
 
# define F first
# define S second
# define endl '\n'
# define sep ' '
# define pb push_back
# define fast_io ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
 
const ll md = 1e9 + 7;//998244353;
const int xn = 1e3 + 10;
const int xm = 1e5 + 10;
const int SQ = 320;
const int sq = 1e3 + 10;
const ll inf = 1e18 + 10;
 
 
ll power(ll a, ll b) {return (!b ? 1 : (b & 1 ? a * power(a * a % md, b / 2) % md : power(a * a % md, b / 2) % md));}
ll zarb(ll a, ll b){return (a * b + 10 * md) % md;}
ll jaam(ll a, ll b){return (a + b + 10 * md) % md;}
 
 
int n, C[xn][xn], invi[xn], CR[xn][xn];
int F[xn][xn], ted, dp[xn][xn];
pii A[xn];
set <int> st;
vector <int> vec;
vector <pii> seg;

void Solve(int ind, int t){
	C[ind][0] = F[ind][0] = 1;
	for (int i = 1; i <= min(n, t); ++ i)
		C[ind][i] = 1ll * C[ind][i - 1] * (t - i + 1) % md * invi[i] % md;
	for (int i = 1; i <= n; ++ i)
		for (int j = 1; j <= min(i, t); ++ j)
				F[ind][i] = (F[ind][i] + 1ll * CR[i - 1][j - 1] * C[ind][j] % md) % md;
}

 
int main(){
	fast_io;
	
	for (int i = 0; i < xn; ++ i)
		CR[i][0] = 1;
	for (int i = 1; i < xn; ++ i)
		for (int j = 1; j <= i; ++ j)
			CR[i][j] = (CR[i - 1][j] + CR[i - 1][j - 1]) % md;
	cin >> n;
	for (int i = 1; i <= n; i ++)
		cin >> A[i].F >> A[i].S, ++ A[i].S;
	for (int i = 1; i <= n; i ++)
		st.insert(A[i].F), st.insert(A[i].S);
	for (int x : st)
		vec.push_back(x);
	for (int i = 1; i < vec.size(); i ++)
		seg.emplace_back(vec[i - 1], vec[i]);
	for (int i = 1; i < xn; i ++)
		invi[i] = power(i, md - 2);
	for (int i = 0; i < seg.size(); i ++)
		Solve(i, seg[i].S - seg[i].F);
	for (int i = 0; i < xn; ++ i)
		dp[i][0] = dp[0][i] = 1;
	for (int i = 1; i <= n; i ++){
		for (int j = 1; j <= seg.size(); j ++){
			dp[i][j] = dp[i][j - 1], ted = 0;
			for (int k = i; k >= 1; -- k)
				if (A[k].F <= seg[j - 1].F && seg[j - 1].S <= A[k].S)
					dp[i][j] = (dp[i][j] + 1ll * dp[k - 1][j - 1] * F[j - 1][++ ted] % md) % md;
		}
	}
	cout << (dp[n][seg.size()] + md - 1) % md << endl;
	
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:61:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |  for (int i = 1; i < vec.size(); i ++)
      |                  ~~^~~~~~~~~~~~
boat.cpp:65:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |  for (int i = 0; i < seg.size(); i ++)
      |                  ~~^~~~~~~~~~~~
boat.cpp:70:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   70 |   for (int j = 1; j <= seg.size(); j ++){
      |                   ~~^~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 554 ms 16172 KB Output is correct
2 Correct 583 ms 16284 KB Output is correct
3 Correct 527 ms 16276 KB Output is correct
4 Correct 529 ms 16280 KB Output is correct
5 Correct 530 ms 16328 KB Output is correct
6 Correct 430 ms 16280 KB Output is correct
7 Correct 412 ms 16328 KB Output is correct
8 Correct 422 ms 16376 KB Output is correct
9 Correct 454 ms 16276 KB Output is correct
10 Correct 411 ms 16204 KB Output is correct
11 Correct 424 ms 16284 KB Output is correct
12 Correct 429 ms 16332 KB Output is correct
13 Correct 411 ms 16204 KB Output is correct
14 Correct 422 ms 16248 KB Output is correct
15 Correct 433 ms 16276 KB Output is correct
16 Correct 110 ms 9684 KB Output is correct
17 Correct 107 ms 9732 KB Output is correct
18 Correct 102 ms 9768 KB Output is correct
19 Correct 109 ms 9832 KB Output is correct
20 Correct 107 ms 9788 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 554 ms 16172 KB Output is correct
2 Correct 583 ms 16284 KB Output is correct
3 Correct 527 ms 16276 KB Output is correct
4 Correct 529 ms 16280 KB Output is correct
5 Correct 530 ms 16328 KB Output is correct
6 Correct 430 ms 16280 KB Output is correct
7 Correct 412 ms 16328 KB Output is correct
8 Correct 422 ms 16376 KB Output is correct
9 Correct 454 ms 16276 KB Output is correct
10 Correct 411 ms 16204 KB Output is correct
11 Correct 424 ms 16284 KB Output is correct
12 Correct 429 ms 16332 KB Output is correct
13 Correct 411 ms 16204 KB Output is correct
14 Correct 422 ms 16248 KB Output is correct
15 Correct 433 ms 16276 KB Output is correct
16 Correct 110 ms 9684 KB Output is correct
17 Correct 107 ms 9732 KB Output is correct
18 Correct 102 ms 9768 KB Output is correct
19 Correct 109 ms 9832 KB Output is correct
20 Correct 107 ms 9788 KB Output is correct
21 Correct 359 ms 15576 KB Output is correct
22 Correct 359 ms 15692 KB Output is correct
23 Correct 337 ms 15532 KB Output is correct
24 Correct 351 ms 15564 KB Output is correct
25 Correct 361 ms 15636 KB Output is correct
26 Correct 453 ms 15320 KB Output is correct
27 Correct 454 ms 15444 KB Output is correct
28 Correct 447 ms 15316 KB Output is correct
29 Correct 452 ms 15288 KB Output is correct
30 Correct 408 ms 16136 KB Output is correct
31 Correct 398 ms 16188 KB Output is correct
32 Correct 405 ms 16256 KB Output is correct
33 Correct 402 ms 16204 KB Output is correct
34 Correct 402 ms 16308 KB Output is correct
35 Correct 520 ms 16332 KB Output is correct
36 Correct 517 ms 16268 KB Output is correct
37 Correct 511 ms 16280 KB Output is correct
38 Correct 506 ms 16244 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 9888 KB Output is correct
2 Correct 13 ms 9828 KB Output is correct
3 Correct 14 ms 9812 KB Output is correct
4 Correct 13 ms 9812 KB Output is correct
5 Correct 13 ms 9832 KB Output is correct
6 Correct 14 ms 9912 KB Output is correct
7 Correct 14 ms 9912 KB Output is correct
8 Correct 15 ms 9812 KB Output is correct
9 Correct 15 ms 9872 KB Output is correct
10 Correct 15 ms 9812 KB Output is correct
11 Correct 14 ms 9872 KB Output is correct
12 Correct 13 ms 9916 KB Output is correct
13 Correct 14 ms 9832 KB Output is correct
14 Correct 14 ms 9836 KB Output is correct
15 Correct 14 ms 9836 KB Output is correct
16 Correct 9 ms 9180 KB Output is correct
17 Correct 9 ms 9172 KB Output is correct
18 Correct 10 ms 9192 KB Output is correct
19 Correct 9 ms 9172 KB Output is correct
20 Correct 9 ms 9188 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 554 ms 16172 KB Output is correct
2 Correct 583 ms 16284 KB Output is correct
3 Correct 527 ms 16276 KB Output is correct
4 Correct 529 ms 16280 KB Output is correct
5 Correct 530 ms 16328 KB Output is correct
6 Correct 430 ms 16280 KB Output is correct
7 Correct 412 ms 16328 KB Output is correct
8 Correct 422 ms 16376 KB Output is correct
9 Correct 454 ms 16276 KB Output is correct
10 Correct 411 ms 16204 KB Output is correct
11 Correct 424 ms 16284 KB Output is correct
12 Correct 429 ms 16332 KB Output is correct
13 Correct 411 ms 16204 KB Output is correct
14 Correct 422 ms 16248 KB Output is correct
15 Correct 433 ms 16276 KB Output is correct
16 Correct 110 ms 9684 KB Output is correct
17 Correct 107 ms 9732 KB Output is correct
18 Correct 102 ms 9768 KB Output is correct
19 Correct 109 ms 9832 KB Output is correct
20 Correct 107 ms 9788 KB Output is correct
21 Correct 359 ms 15576 KB Output is correct
22 Correct 359 ms 15692 KB Output is correct
23 Correct 337 ms 15532 KB Output is correct
24 Correct 351 ms 15564 KB Output is correct
25 Correct 361 ms 15636 KB Output is correct
26 Correct 453 ms 15320 KB Output is correct
27 Correct 454 ms 15444 KB Output is correct
28 Correct 447 ms 15316 KB Output is correct
29 Correct 452 ms 15288 KB Output is correct
30 Correct 408 ms 16136 KB Output is correct
31 Correct 398 ms 16188 KB Output is correct
32 Correct 405 ms 16256 KB Output is correct
33 Correct 402 ms 16204 KB Output is correct
34 Correct 402 ms 16308 KB Output is correct
35 Correct 520 ms 16332 KB Output is correct
36 Correct 517 ms 16268 KB Output is correct
37 Correct 511 ms 16280 KB Output is correct
38 Correct 506 ms 16244 KB Output is correct
39 Correct 15 ms 9888 KB Output is correct
40 Correct 13 ms 9828 KB Output is correct
41 Correct 14 ms 9812 KB Output is correct
42 Correct 13 ms 9812 KB Output is correct
43 Correct 13 ms 9832 KB Output is correct
44 Correct 14 ms 9912 KB Output is correct
45 Correct 14 ms 9912 KB Output is correct
46 Correct 15 ms 9812 KB Output is correct
47 Correct 15 ms 9872 KB Output is correct
48 Correct 15 ms 9812 KB Output is correct
49 Correct 14 ms 9872 KB Output is correct
50 Correct 13 ms 9916 KB Output is correct
51 Correct 14 ms 9832 KB Output is correct
52 Correct 14 ms 9836 KB Output is correct
53 Correct 14 ms 9836 KB Output is correct
54 Correct 9 ms 9180 KB Output is correct
55 Correct 9 ms 9172 KB Output is correct
56 Correct 10 ms 9192 KB Output is correct
57 Correct 9 ms 9172 KB Output is correct
58 Correct 9 ms 9188 KB Output is correct
59 Correct 974 ms 16280 KB Output is correct
60 Correct 922 ms 16336 KB Output is correct
61 Correct 939 ms 16456 KB Output is correct
62 Correct 952 ms 16412 KB Output is correct
63 Correct 931 ms 16228 KB Output is correct
64 Correct 1054 ms 16352 KB Output is correct
65 Correct 1064 ms 16284 KB Output is correct
66 Correct 1059 ms 16420 KB Output is correct
67 Correct 1063 ms 16256 KB Output is correct
68 Correct 1101 ms 16280 KB Output is correct
69 Correct 949 ms 16368 KB Output is correct
70 Correct 979 ms 16308 KB Output is correct
71 Correct 981 ms 16384 KB Output is correct
72 Correct 972 ms 16360 KB Output is correct
73 Correct 969 ms 16224 KB Output is correct
74 Correct 140 ms 9676 KB Output is correct
75 Correct 155 ms 9772 KB Output is correct
76 Correct 150 ms 9756 KB Output is correct
77 Correct 145 ms 9684 KB Output is correct
78 Correct 141 ms 9656 KB Output is correct