Submission #832853

# Submission time Handle Problem Language Result Execution time Memory
832853 2023-08-21T15:59:48 Z caganyanmaz Boat (APIO16_boat) C++17
27 / 100
1655 ms 16720 KB
#include <bits/stdc++.h>
#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 = 600;
constexpr static int MXR = 1100;
int n;
vector<int> a, b;
vector<int> ranges;
int dp[MXR][MXN]; // Schools passed, last range, count in  last range
int old_dp[MXR][MXN];
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; }

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;
}

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]);
		}
		for (int j = 0; j < rn; j++)
			for (int k = 1; k <= n; k++)
				old_dp[j][k] = dp[j][k];
	}
	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:74:20: 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]
   74 |  for (int i = 0; i < c.size()-1; i++)
      |                  ~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Incorrect 1655 ms 16720 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1655 ms 16720 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 17 ms 3540 KB Output is correct
2 Correct 17 ms 3584 KB Output is correct
3 Correct 18 ms 3596 KB Output is correct
4 Correct 22 ms 3540 KB Output is correct
5 Correct 22 ms 3568 KB Output is correct
6 Correct 21 ms 3540 KB Output is correct
7 Correct 17 ms 3616 KB Output is correct
8 Correct 20 ms 3540 KB Output is correct
9 Correct 17 ms 3604 KB Output is correct
10 Correct 22 ms 3604 KB Output is correct
11 Correct 17 ms 3568 KB Output is correct
12 Correct 22 ms 3608 KB Output is correct
13 Correct 17 ms 3572 KB Output is correct
14 Correct 17 ms 3552 KB Output is correct
15 Correct 21 ms 3616 KB Output is correct
16 Correct 10 ms 2432 KB Output is correct
17 Correct 9 ms 2388 KB Output is correct
18 Correct 10 ms 2388 KB Output is correct
19 Correct 10 ms 2320 KB Output is correct
20 Correct 10 ms 2260 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 1655 ms 16720 KB Output isn't correct
2 Halted 0 ms 0 KB -