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Submission #465070

# Submission time Handle Problem Language Result Execution time Memory
465070 2021-08-15T06:49:43 Z arminatarod Boat (APIO16_boat) C++17
58 / 100
 2000 ms 12280 KB 
#include <bits/stdc++.h>

using namespace std;

constexpr int MAXN = 1005;

constexpr int MAXINT = 1073741823;

constexpr long long int MOD = 1000000007;

pair<long long int, long long int> a[MAXN];

vector<long long int> blocks;

long long int inverted[MAXN];

long long int ways[MAXN][MAXN], dp[MAXN][MAXN];

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	inverted[0] = 1;
	inverted[1] = 1;
	for (long long int i = 2; i < MAXN; i++)
		inverted[i] = inverted[MOD % i] * (MOD - MOD / i) % MOD; 
	long long int n, temporary;
	cin >> n;
	for (int i = 1; i <= n; i++) {
		cin >> a[i].first >> a[i].second;
		blocks.push_back(a[i].first - 1);
		blocks.push_back(a[i].second);
	}
	sort(blocks.begin(), blocks.end());
	blocks.resize(distance(blocks.begin(), unique(blocks.begin(), blocks.end())));
	for (int i = 1; i < blocks.size(); i++) {
		ways[i][0] = 1;
		for (long long int j = 1; j <= n; j++) {
			temporary = blocks[i] - blocks[i - 1];
			for (long long int k = 1; k <= j && k <= blocks[i] - blocks[i - 1]; k++) {
				ways[i][j] = (ways[i][j] + temporary) % MOD;
				temporary = temporary * (blocks[i] - blocks[i - 1] - k) % MOD * inverted[k + 1] % MOD * (j - k) % MOD * inverted[k] % MOD;
			}
		}
	}
	fill(dp[0], dp[0] + MAXN, 1);
	for (int i = 1; i <= n; i++) {
		dp[i][0] = 1;
		for (int j = 1; j < blocks.size(); j++) {
			dp[i][j] = dp[i][j - 1];
			temporary = 1;
			for (int k = i; k >= 0; k--)
				if (a[k].first <= blocks[j - 1] + 1 && blocks[j] <= a[k].second)
					dp[i][j] = (dp[i][j] + dp[k - 1][j - 1] * ways[j][temporary++] % MOD) % MOD;
		}
	}
	cout << dp[n][blocks.size() - 1] - 1;
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:35:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   35 |  for (int i = 1; i < blocks.size(); i++) {
      |                  ~~^~~~~~~~~~~~~~~
boat.cpp:48:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   48 |   for (int j = 1; j < blocks.size(); j++) {
      |                   ~~^~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1630 ms 12140 KB Output is correct
2 Correct 1624 ms 12024 KB Output is correct
3 Correct 1628 ms 12132 KB Output is correct
4 Correct 1640 ms 12272 KB Output is correct
5 Correct 1606 ms 12104 KB Output is correct
6 Correct 1526 ms 12280 KB Output is correct
7 Correct 1519 ms 12148 KB Output is correct
8 Correct 1528 ms 12144 KB Output is correct
9 Correct 1526 ms 12240 KB Output is correct
10 Correct 1524 ms 12148 KB Output is correct
11 Correct 1519 ms 12084 KB Output is correct
12 Correct 1530 ms 12144 KB Output is correct
13 Correct 1507 ms 12208 KB Output is correct
14 Correct 1511 ms 12192 KB Output is correct
15 Correct 1530 ms 12056 KB Output is correct
16 Correct 304 ms 4480 KB Output is correct
17 Correct 310 ms 4584 KB Output is correct
18 Correct 311 ms 4572 KB Output is correct
19 Correct 319 ms 4600 KB Output is correct
20 Correct 310 ms 4520 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1630 ms 12140 KB Output is correct
2 Correct 1624 ms 12024 KB Output is correct
3 Correct 1628 ms 12132 KB Output is correct
4 Correct 1640 ms 12272 KB Output is correct
5 Correct 1606 ms 12104 KB Output is correct
6 Correct 1526 ms 12280 KB Output is correct
7 Correct 1519 ms 12148 KB Output is correct
8 Correct 1528 ms 12144 KB Output is correct
9 Correct 1526 ms 12240 KB Output is correct
10 Correct 1524 ms 12148 KB Output is correct
11 Correct 1519 ms 12084 KB Output is correct
12 Correct 1530 ms 12144 KB Output is correct
13 Correct 1507 ms 12208 KB Output is correct
14 Correct 1511 ms 12192 KB Output is correct
15 Correct 1530 ms 12056 KB Output is correct
16 Correct 304 ms 4480 KB Output is correct
17 Correct 310 ms 4584 KB Output is correct
18 Correct 311 ms 4572 KB Output is correct
19 Correct 319 ms 4600 KB Output is correct
20 Correct 310 ms 4520 KB Output is correct
21 Correct 522 ms 11460 KB Output is correct
22 Correct 531 ms 11616 KB Output is correct
23 Correct 490 ms 11316 KB Output is correct
24 Correct 477 ms 11236 KB Output is correct
25 Correct 510 ms 11472 KB Output is correct
26 Correct 530 ms 11280 KB Output is correct
27 Correct 559 ms 11292 KB Output is correct
28 Correct 556 ms 11092 KB Output is correct
29 Correct 549 ms 11192 KB Output is correct
30 Correct 1457 ms 12208 KB Output is correct
31 Correct 1474 ms 12060 KB Output is correct
32 Correct 1484 ms 12100 KB Output is correct
33 Correct 1475 ms 12156 KB Output is correct
34 Correct 1455 ms 12120 KB Output is correct
35 Correct 1568 ms 12092 KB Output is correct
36 Correct 1567 ms 12172 KB Output is correct
37 Correct 1577 ms 12232 KB Output is correct
38 Correct 1538 ms 12236 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 1776 KB Output is correct
2 Correct 27 ms 1908 KB Output is correct
3 Correct 28 ms 1868 KB Output is correct
4 Correct 26 ms 1860 KB Output is correct
5 Correct 26 ms 1844 KB Output is correct
6 Correct 28 ms 1848 KB Output is correct
7 Correct 27 ms 1868 KB Output is correct
8 Correct 28 ms 1896 KB Output is correct
9 Correct 27 ms 1860 KB Output is correct
10 Correct 28 ms 1788 KB Output is correct
11 Correct 28 ms 1868 KB Output is correct
12 Correct 26 ms 1808 KB Output is correct
13 Correct 27 ms 1832 KB Output is correct
14 Correct 27 ms 1908 KB Output is correct
15 Correct 26 ms 1860 KB Output is correct
16 Correct 13 ms 1328 KB Output is correct
17 Correct 12 ms 1304 KB Output is correct
18 Correct 12 ms 1356 KB Output is correct
19 Correct 12 ms 1356 KB Output is correct
20 Correct 13 ms 1356 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1630 ms 12140 KB Output is correct
2 Correct 1624 ms 12024 KB Output is correct
3 Correct 1628 ms 12132 KB Output is correct
4 Correct 1640 ms 12272 KB Output is correct
5 Correct 1606 ms 12104 KB Output is correct
6 Correct 1526 ms 12280 KB Output is correct
7 Correct 1519 ms 12148 KB Output is correct
8 Correct 1528 ms 12144 KB Output is correct
9 Correct 1526 ms 12240 KB Output is correct
10 Correct 1524 ms 12148 KB Output is correct
11 Correct 1519 ms 12084 KB Output is correct
12 Correct 1530 ms 12144 KB Output is correct
13 Correct 1507 ms 12208 KB Output is correct
14 Correct 1511 ms 12192 KB Output is correct
15 Correct 1530 ms 12056 KB Output is correct
16 Correct 304 ms 4480 KB Output is correct
17 Correct 310 ms 4584 KB Output is correct
18 Correct 311 ms 4572 KB Output is correct
19 Correct 319 ms 4600 KB Output is correct
20 Correct 310 ms 4520 KB Output is correct
21 Correct 522 ms 11460 KB Output is correct
22 Correct 531 ms 11616 KB Output is correct
23 Correct 490 ms 11316 KB Output is correct
24 Correct 477 ms 11236 KB Output is correct
25 Correct 510 ms 11472 KB Output is correct
26 Correct 530 ms 11280 KB Output is correct
27 Correct 559 ms 11292 KB Output is correct
28 Correct 556 ms 11092 KB Output is correct
29 Correct 549 ms 11192 KB Output is correct
30 Correct 1457 ms 12208 KB Output is correct
31 Correct 1474 ms 12060 KB Output is correct
32 Correct 1484 ms 12100 KB Output is correct
33 Correct 1475 ms 12156 KB Output is correct
34 Correct 1455 ms 12120 KB Output is correct
35 Correct 1568 ms 12092 KB Output is correct
36 Correct 1567 ms 12172 KB Output is correct
37 Correct 1577 ms 12232 KB Output is correct
38 Correct 1538 ms 12236 KB Output is correct
39 Correct 26 ms 1776 KB Output is correct
40 Correct 27 ms 1908 KB Output is correct
41 Correct 28 ms 1868 KB Output is correct
42 Correct 26 ms 1860 KB Output is correct
43 Correct 26 ms 1844 KB Output is correct
44 Correct 28 ms 1848 KB Output is correct
45 Correct 27 ms 1868 KB Output is correct
46 Correct 28 ms 1896 KB Output is correct
47 Correct 27 ms 1860 KB Output is correct
48 Correct 28 ms 1788 KB Output is correct
49 Correct 28 ms 1868 KB Output is correct
50 Correct 26 ms 1808 KB Output is correct
51 Correct 27 ms 1832 KB Output is correct
52 Correct 27 ms 1908 KB Output is correct
53 Correct 26 ms 1860 KB Output is correct
54 Correct 13 ms 1328 KB Output is correct
55 Correct 12 ms 1304 KB Output is correct
56 Correct 12 ms 1356 KB Output is correct
57 Correct 12 ms 1356 KB Output is correct
58 Correct 13 ms 1356 KB Output is correct
59 Execution timed out 2087 ms 6404 KB Time limit exceeded
60 Halted 0 ms 0 KB -