Submission #779901

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
779901	2023-07-12T02:15:19 Z	vjudge1	Palindrome-Free Numbers (BOI13_numbers)	C++17	100 / 100	1 ms	340 KB

numbers

#include <bits/stdc++.h>
#define ll long long
using namespace std;
const ll maxn = 1e5 + 5, mod = 1e9 + 7, inf = 1e18;
ll dp[20][12][12][2];
ll bachtrach(string &lim, int ith, int last1, int last2, bool smaller)
{
	if(ith == lim.size()) return 1;

	if(dp[ith][last1+1][last2+1][smaller] != -1)
	{
		return dp[ith][last1+1][last2+1][smaller];
	}
	int curdig = lim[ith]-'0';
	ll ans = 0;
	if(last1 == -1)
	{
		if(smaller)
		{
			for(int i = 1; i <= 9; ++i)
			{
				if(i != last1 && i != last2) ans += bachtrach(lim, ith + 1, i, last1, 1);
			}
			ans += bachtrach(lim, ith + 1, -1, last1, 1);
		}
		else
		{
			for(int i = 1; i < curdig; ++i)
			{
				if(i != last1 && i != last2) ans += bachtrach(lim, ith + 1, i, last1, 1);
			}
			if(curdig != 0)
			{
				// ans += bachtrach(lim, ith + 1, -1, last1, 1);
				ans += bachtrach(lim, ith + 1, curdig, last1,0);
				ans += bachtrach(lim, ith + 1, -1, last1, 1);
			}
			else ans += bachtrach(lim, ith + 1, -1, last1, 0);
		}
	}
	else if(smaller)
	{
		for(int i = 0; i <= 9; ++i)
		{
			if(i != last1 && i != last2) ans += bachtrach(lim, ith + 1, i, last1, 1);
		}
	}
	else
	{
		for(int i = 0; i < curdig; ++i)
		{
			if(i != last1 && i != last2) ans += bachtrach(lim, ith + 1, i, last1, 1);
		}
		if(curdig != last1 && curdig != last2)
		ans += bachtrach(lim, ith + 1, curdig, last1, 0);
	}
	return dp[ith][last1+1][last2+1][smaller] = ans;
}
ll slove(ll x)
{
	if(x < 0) return 0;
	string lim = to_string(x);
	memset(dp, -1, sizeof(dp));
	return bachtrach(lim, 0, -1, -1, 0);
}
int main()
{
	// freopen(".INP", "r", stdin);
	// freopen(".OUT", "w", stdout);
	cin.tie(0)->sync_with_stdio(0);
	ll a, b;
	cin >> a >> b;
	cout << slove(b) - slove(a - 1);		    
}

Compilation message

numbers.cpp: In function 'long long int bachtrach(std::string&, int, int, int, bool)':
numbers.cpp:8:9: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    8 |  if(ith == lim.size()) return 1;
      |     ~~~~^~~~~~~~~~~~~

Subtask #1

25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	0 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	1 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	0 ms	340 KB	Output is correct
20	Correct	1 ms	340 KB	Output is correct

Subtask #2

75.0 / 75.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	1 ms	340 KB	Output is correct
3	Correct	0 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	0 ms	340 KB	Output is correct
9	Correct	0 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct
20	Correct	1 ms	340 KB	Output is correct
21	Correct	0 ms	340 KB	Output is correct
22	Correct	0 ms	340 KB	Output is correct
23	Correct	0 ms	340 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct
25	Correct	1 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	1 ms	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	1 ms	340 KB	Output is correct
31	Correct	0 ms	340 KB	Output is correct
32	Correct	1 ms	340 KB	Output is correct
33	Correct	0 ms	340 KB	Output is correct
34	Correct	1 ms	340 KB	Output is correct
35	Correct	1 ms	340 KB	Output is correct
36	Correct	1 ms	340 KB	Output is correct
37	Correct	1 ms	340 KB	Output is correct
38	Correct	0 ms	340 KB	Output is correct
39	Correct	0 ms	340 KB	Output is correct
40	Correct	0 ms	340 KB	Output is correct
41	Correct	0 ms	340 KB	Output is correct
42	Correct	1 ms	340 KB	Output is correct
43	Correct	1 ms	340 KB	Output is correct
44	Correct	0 ms	340 KB	Output is correct
45	Correct	1 ms	340 KB	Output is correct