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Submission #832878

# Submission time Handle Problem Language Result Execution time Memory
832878 2023-08-21T16:11:05 Z caganyanmaz Boat (APIO16_boat) C++17
100 / 100
 1864 ms 43680 KB 
#include <bits/stdc++.h>


#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#define int int64_t
#define pb push_back
using namespace std;


//#define DEBUGGING
#ifdef DEBUGGING
#include "../debug.h"
#else
#define debug(x...) void(42)
#endif

constexpr static int MXN = 1000;
constexpr static int MXR = 2000;
int n;
vector<int> a, b;
vector<int> ranges;
vector<vector<int>> dp(MXR, vector<int>(MXN, 0)); // Schools passed, last range, count in  last range
vector<vector<int>> old_dp(MXR, vector<int>(MXN, 0));
int sums[MXN][MXN]; // last range
constexpr static int MOD = 1e9 + 7;

static inline int add(int a, int b) { return (a+b) % MOD; }
static inline int mul(int64_t a, int64_t b) { return (a*b) % MOD; }

static inline int pow(int a, int b)
{
	int res = 1;
	while (b)
	{
		if (b&1)
		{
			res = mul(a, res);
			b--;
		}
		else
		{
			a = mul(a, a);
			b >>= 1;
		}
	}
	return res;
}

static inline int _div(int a, int b) { return mul(a, pow(b, MOD-2)); }
int C[MXR][MXN];
int p[MXN];

int32_t main()
{
	cin >> n;
	p[0] = 1;
	for (int i = 1; i < n; i++)
		p[i] = mul(i, p[i-1]);
	a.resize(n, 0), b.resize(n, 0);
	debug("A");
	for (int i = 0; i < n; i++)
	{
		cin >> a[i] >> b[i];
		b[i]++;
	}
	debug("b");
	vector<int> c;
 	for (int i = 0; i < n; i++)
		c.pb(a[i]);
	for (int i = 0; i < n; i++)
		c.pb(b[i]);
	debug("A");
	sort(c.begin(), c.end());
	auto last = unique(c.begin(), c.end());
	c.erase(last, c.end());
	int rn = c.size();
	for (int i = 0; i < c.size()-1; i++)
		ranges.pb(c[i+1] - c[i]);
	debug("B");
	for (int i = 0; i < rn; i++)
	{
		int pf = 1;
		for (int j = 0; j <= n; j++)
		{
			C[i][j] = pf;
			pf = mul(pf, ranges[i]-j);
			pf = _div(pf, j+1);
			if (ranges[i] < j)
				C[i][j] = 0;
			debug(i, j, C[i][j]);
		}
	}
	debug("D");
	debug(a, b);
	for (int& i : a)
		i = lower_bound(c.begin(), c.end(), i) - c.begin();
	for (int& i : b)
		i = lower_bound(c.begin(), c.end(), i) - c.begin();
	debug(a, b);
	for (int j = 0; j < rn; j++)
		old_dp[j][0] = 1;
	for (int i = 1; i <= n; i++) // Current node
	{
		for (int j = 0; j < rn; j++) // Current range
		{
			dp[j][0] = 1;
			for (int k = 1; k <= n; k++) // Current count 
			{
				dp[j][k] = 0;
				if (a[i-1] <= j && b[i-1] > j)
				{
					if (j > 0 && k == 1)
						dp[j][k] = add(dp[j][k], sums[i-1][j-1]); // Starting with it
					dp[j][k] = add(dp[j][k], old_dp[j][k-1]); // Including it		
					debug(i, j, k);
				}
				dp[j][k] = add(dp[j][k], old_dp[j][k]); // Not including it
				debug(i, j, k, dp[j][k]);
			}
		}
		for (int j = 0; j < rn; j++)
		{
			if (j > 0)
				sums[i][j] = add(sums[i][j], sums[i][j-1]);
			debug(sums[i][j]);
			for (int k = 1; k <= n; k++)
			{
				sums[i][j] = add(sums[i][j], mul(dp[j][k], C[j][k]));
			}
			debug(i, j, sums[i][j]);
		}
		swap(old_dp, dp);
	}
	int res = 0;
	for (int i = 0; i < rn; i++)
	{
		for (int j = 1; j <= n; j++)
		{
			debug(i, j, old_dp[i][j]);
			res = add(res, mul(old_dp[i][j], C[i][j]));
		}
	
	}
	cout << res << "\n";
}

Compilation message

boat.cpp: In function 'int32_t main()':
boat.cpp:78:20: warning: comparison of integer expressions of different signedness: 'int64_t' {aka 'long int'} and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |  for (int i = 0; i < c.size()-1; i++)
      |                  ~~^~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1654 ms 43536 KB Output is correct
2 Correct 1622 ms 43512 KB Output is correct
3 Correct 1680 ms 43584 KB Output is correct
4 Correct 1638 ms 43544 KB Output is correct
5 Correct 1633 ms 43644 KB Output is correct
6 Correct 1621 ms 43504 KB Output is correct
7 Correct 1661 ms 43668 KB Output is correct
8 Correct 1684 ms 43596 KB Output is correct
9 Correct 1637 ms 43680 KB Output is correct
10 Correct 1681 ms 43540 KB Output is correct
11 Correct 1656 ms 43648 KB Output is correct
12 Correct 1656 ms 43464 KB Output is correct
13 Correct 1639 ms 43592 KB Output is correct
14 Correct 1700 ms 43616 KB Output is correct
15 Correct 1634 ms 43468 KB Output is correct
16 Correct 267 ms 35756 KB Output is correct
17 Correct 289 ms 35928 KB Output is correct
18 Correct 295 ms 35884 KB Output is correct
19 Correct 290 ms 35948 KB Output is correct
20 Correct 280 ms 35884 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1654 ms 43536 KB Output is correct
2 Correct 1622 ms 43512 KB Output is correct
3 Correct 1680 ms 43584 KB Output is correct
4 Correct 1638 ms 43544 KB Output is correct
5 Correct 1633 ms 43644 KB Output is correct
6 Correct 1621 ms 43504 KB Output is correct
7 Correct 1661 ms 43668 KB Output is correct
8 Correct 1684 ms 43596 KB Output is correct
9 Correct 1637 ms 43680 KB Output is correct
10 Correct 1681 ms 43540 KB Output is correct
11 Correct 1656 ms 43648 KB Output is correct
12 Correct 1656 ms 43464 KB Output is correct
13 Correct 1639 ms 43592 KB Output is correct
14 Correct 1700 ms 43616 KB Output is correct
15 Correct 1634 ms 43468 KB Output is correct
16 Correct 267 ms 35756 KB Output is correct
17 Correct 289 ms 35928 KB Output is correct
18 Correct 295 ms 35884 KB Output is correct
19 Correct 290 ms 35948 KB Output is correct
20 Correct 280 ms 35884 KB Output is correct
21 Correct 1560 ms 42848 KB Output is correct
22 Correct 1584 ms 42832 KB Output is correct
23 Correct 1574 ms 42792 KB Output is correct
24 Correct 1569 ms 42748 KB Output is correct
25 Correct 1556 ms 42696 KB Output is correct
26 Correct 1610 ms 42584 KB Output is correct
27 Correct 1634 ms 42628 KB Output is correct
28 Correct 1547 ms 42484 KB Output is correct
29 Correct 1567 ms 42460 KB Output is correct
30 Correct 1675 ms 43448 KB Output is correct
31 Correct 1634 ms 43504 KB Output is correct
32 Correct 1655 ms 43560 KB Output is correct
33 Correct 1657 ms 43512 KB Output is correct
34 Correct 1644 ms 43424 KB Output is correct
35 Correct 1649 ms 43408 KB Output is correct
36 Correct 1683 ms 43496 KB Output is correct
37 Correct 1616 ms 43404 KB Output is correct
38 Correct 1594 ms 43488 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 33244 KB Output is correct
2 Correct 31 ms 33272 KB Output is correct
3 Correct 30 ms 33272 KB Output is correct
4 Correct 30 ms 33268 KB Output is correct
5 Correct 31 ms 33228 KB Output is correct
6 Correct 31 ms 33236 KB Output is correct
7 Correct 31 ms 33268 KB Output is correct
8 Correct 32 ms 33260 KB Output is correct
9 Correct 31 ms 33228 KB Output is correct
10 Correct 31 ms 33188 KB Output is correct
11 Correct 32 ms 33252 KB Output is correct
12 Correct 29 ms 33256 KB Output is correct
13 Correct 34 ms 33264 KB Output is correct
14 Correct 30 ms 33184 KB Output is correct
15 Correct 31 ms 33268 KB Output is correct
16 Correct 25 ms 32712 KB Output is correct
17 Correct 24 ms 32776 KB Output is correct
18 Correct 25 ms 32744 KB Output is correct
19 Correct 26 ms 32812 KB Output is correct
20 Correct 24 ms 32744 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1654 ms 43536 KB Output is correct
2 Correct 1622 ms 43512 KB Output is correct
3 Correct 1680 ms 43584 KB Output is correct
4 Correct 1638 ms 43544 KB Output is correct
5 Correct 1633 ms 43644 KB Output is correct
6 Correct 1621 ms 43504 KB Output is correct
7 Correct 1661 ms 43668 KB Output is correct
8 Correct 1684 ms 43596 KB Output is correct
9 Correct 1637 ms 43680 KB Output is correct
10 Correct 1681 ms 43540 KB Output is correct
11 Correct 1656 ms 43648 KB Output is correct
12 Correct 1656 ms 43464 KB Output is correct
13 Correct 1639 ms 43592 KB Output is correct
14 Correct 1700 ms 43616 KB Output is correct
15 Correct 1634 ms 43468 KB Output is correct
16 Correct 267 ms 35756 KB Output is correct
17 Correct 289 ms 35928 KB Output is correct
18 Correct 295 ms 35884 KB Output is correct
19 Correct 290 ms 35948 KB Output is correct
20 Correct 280 ms 35884 KB Output is correct
21 Correct 1560 ms 42848 KB Output is correct
22 Correct 1584 ms 42832 KB Output is correct
23 Correct 1574 ms 42792 KB Output is correct
24 Correct 1569 ms 42748 KB Output is correct
25 Correct 1556 ms 42696 KB Output is correct
26 Correct 1610 ms 42584 KB Output is correct
27 Correct 1634 ms 42628 KB Output is correct
28 Correct 1547 ms 42484 KB Output is correct
29 Correct 1567 ms 42460 KB Output is correct
30 Correct 1675 ms 43448 KB Output is correct
31 Correct 1634 ms 43504 KB Output is correct
32 Correct 1655 ms 43560 KB Output is correct
33 Correct 1657 ms 43512 KB Output is correct
34 Correct 1644 ms 43424 KB Output is correct
35 Correct 1649 ms 43408 KB Output is correct
36 Correct 1683 ms 43496 KB Output is correct
37 Correct 1616 ms 43404 KB Output is correct
38 Correct 1594 ms 43488 KB Output is correct
39 Correct 33 ms 33244 KB Output is correct
40 Correct 31 ms 33272 KB Output is correct
41 Correct 30 ms 33272 KB Output is correct
42 Correct 30 ms 33268 KB Output is correct
43 Correct 31 ms 33228 KB Output is correct
44 Correct 31 ms 33236 KB Output is correct
45 Correct 31 ms 33268 KB Output is correct
46 Correct 32 ms 33260 KB Output is correct
47 Correct 31 ms 33228 KB Output is correct
48 Correct 31 ms 33188 KB Output is correct
49 Correct 32 ms 33252 KB Output is correct
50 Correct 29 ms 33256 KB Output is correct
51 Correct 34 ms 33264 KB Output is correct
52 Correct 30 ms 33184 KB Output is correct
53 Correct 31 ms 33268 KB Output is correct
54 Correct 25 ms 32712 KB Output is correct
55 Correct 24 ms 32776 KB Output is correct
56 Correct 25 ms 32744 KB Output is correct
57 Correct 26 ms 32812 KB Output is correct
58 Correct 24 ms 32744 KB Output is correct
59 Correct 1790 ms 43440 KB Output is correct
60 Correct 1774 ms 43572 KB Output is correct
61 Correct 1747 ms 43480 KB Output is correct
62 Correct 1787 ms 43508 KB Output is correct
63 Correct 1787 ms 43472 KB Output is correct
64 Correct 1813 ms 43488 KB Output is correct
65 Correct 1815 ms 43548 KB Output is correct
66 Correct 1796 ms 43520 KB Output is correct
67 Correct 1838 ms 43504 KB Output is correct
68 Correct 1864 ms 43536 KB Output is correct
69 Correct 1730 ms 43520 KB Output is correct
70 Correct 1750 ms 43544 KB Output is correct
71 Correct 1747 ms 43484 KB Output is correct
72 Correct 1731 ms 43476 KB Output is correct
73 Correct 1766 ms 43508 KB Output is correct
74 Correct 299 ms 35772 KB Output is correct
75 Correct 310 ms 35948 KB Output is correct
76 Correct 310 ms 35884 KB Output is correct
77 Correct 309 ms 35912 KB Output is correct
78 Correct 307 ms 35944 KB Output is correct