Submission #630139

# Submission time Handle Problem Language Result Execution time Memory
630139 2022-08-15T17:59:31 Z coloboxx Palindrome-Free Numbers (BOI13_numbers) C++17
85 / 100
47 ms 740 KB
#include<bits/stdc++.h>

#define ll long long
#define ld long double
#define fi first
#define sc second
#define pb push_back
#define point pair<int,int>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define fast_io ios_base::sync_with_stdio(0); cin.tie(0);
#define show(x) cerr << (#x) << " = " << x << '\n'
#define print(x) if (1) {cerr << (#x) << " = "; \
      for (auto it : x) cerr << it << ' '; cerr << '\n';}

using namespace std;

const int MAXN = 1000069;
const int MAXT = 1e7 + 69;
const int RT = 420;
const int LOG = 31;
const int MOD = 998244353;
const int INF = 2e9 + 69;
const ll MAX = 2e18 + 69;
const ld EPS = 1e-12;

#define int ll

ll dp[20][11][11][11][2];

bool check(ll n, int addlen = 0) {
	string s = to_string(n);
	while (s.size() < addlen)
		s = "0" + s;

	for (int i = 1; i < s.size(); ++i)
		if (s[i] == s[i - 1])
			return false;

	for (int i = 2; i < s.size(); ++i)
		if (s[i] == s[i - 2])
			return false;
	
	return true;
}

ll f(ll n) {
	if (n <= 1e6) {
		ll ans = 0;
		for (int i = 0; i <= n; ++i)
			ans += check(i);
		return ans;
	}
	
	for (int i = 0; i < 20; ++i)
		for (int j = 0; j < 11; ++j)
			for (int k = 0; k < 11; ++k)
				for (int l = 0; l < 11; ++l) 
					dp[i][j][k][l][0] = dp[i][j][k][l][1] = 0;
	
	string s = to_string(n);
	reverse(all(s)), s = "0" + s;

	for (auto& c : s)
		c -= '0';

	for (int i = 0; i < 1000; ++i) {
		if (check(i, 3)) {
			dp[3][i / 100][i / 10 % 10][i % 10][0] = 1;
			if (i <= n % 1000)
				dp[3][i / 100][i / 10 % 10][i % 10][1] = 1;
		}
	}

	for (int i = 4; i < s.size(); ++i) {
		for (int j = 0; j < 10; ++j)
			for (int k = 0; k < 10; ++k)
				for (int l = 0; l < 10; ++l)
					for (int p = 0; p < 10; ++p) {
						int x = 1000 * s[i] + 100 * s[i - 1] + 10 * s[i - 2] + s[i - 3];
						int y = 1000 * j + 100 * k + 10 * l + p;

						if (check(y, 4)) {
							dp[i][j][k][l][0] += dp[i - 1][k][l][p][0];

							if (x >= y) {
								if (j < s[i])
									dp[i][j][k][l][1] += dp[i - 1][k][l][p][0];
								else
									dp[i][j][k][l][1] += dp[i - 1][k][l][p][1];
							}
						}
					}
	}

	ll ans = 0;
	for (int i = 0; i <= min(99ll, n); ++i)
		ans += check(i);

	for (int j = 0; j < 10; ++j)
		for (int k = 0; k < 10; ++k)
			for (int l = 0; l < 10; ++l)
				ans += dp[s.size() - 1][j][k][l][1];
	return ans;
}

signed main() {
	fast_io;

	ll a, b;
	cin >> a >> b;

	cout << f(b) - f(a - 1);
}

Compilation message

numbers.cpp: In function 'bool check(long long int, long long int)':
numbers.cpp:33:18: warning: comparison of integer expressions of different signedness: 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
   33 |  while (s.size() < addlen)
      |         ~~~~~~~~~^~~~~~~~
numbers.cpp:36:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |  for (int i = 1; i < s.size(); ++i)
      |                  ~~^~~~~~~~~~
numbers.cpp:40:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |  for (int i = 2; i < s.size(); ++i)
      |                  ~~^~~~~~~~~~
numbers.cpp: In function 'long long int f(long long int)':
numbers.cpp:75:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   75 |  for (int i = 4; i < s.size(); ++i) {
      |                  ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 7 ms 724 KB Output is correct
4 Correct 2 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 3 ms 212 KB Output is correct
15 Correct 3 ms 212 KB Output is correct
16 Correct 47 ms 212 KB Output is correct
17 Correct 26 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 8 ms 736 KB Output is correct
20 Correct 4 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 724 KB Output is correct
2 Correct 9 ms 736 KB Output is correct
3 Correct 9 ms 732 KB Output is correct
4 Correct 8 ms 724 KB Output is correct
5 Incorrect 2 ms 724 KB Output isn't correct
6 Correct 4 ms 724 KB Output is correct
7 Incorrect 2 ms 724 KB Output isn't correct
8 Incorrect 2 ms 724 KB Output isn't correct
9 Incorrect 2 ms 724 KB Output isn't correct
10 Incorrect 2 ms 724 KB Output isn't correct
11 Correct 4 ms 724 KB Output is correct
12 Incorrect 3 ms 724 KB Output isn't correct
13 Incorrect 4 ms 724 KB Output isn't correct
14 Incorrect 3 ms 724 KB Output isn't correct
15 Incorrect 2 ms 724 KB Output isn't correct
16 Correct 9 ms 736 KB Output is correct
17 Correct 12 ms 740 KB Output is correct
18 Correct 9 ms 724 KB Output is correct
19 Correct 9 ms 724 KB Output is correct
20 Correct 9 ms 724 KB Output is correct
21 Correct 9 ms 724 KB Output is correct
22 Correct 8 ms 724 KB Output is correct
23 Correct 8 ms 724 KB Output is correct
24 Correct 10 ms 740 KB Output is correct
25 Correct 8 ms 724 KB Output is correct
26 Correct 11 ms 736 KB Output is correct
27 Correct 8 ms 724 KB Output is correct
28 Correct 8 ms 724 KB Output is correct
29 Correct 10 ms 732 KB Output is correct
30 Correct 10 ms 724 KB Output is correct
31 Correct 9 ms 724 KB Output is correct
32 Correct 9 ms 724 KB Output is correct
33 Correct 8 ms 724 KB Output is correct
34 Correct 9 ms 724 KB Output is correct
35 Correct 11 ms 740 KB Output is correct
36 Correct 8 ms 724 KB Output is correct
37 Correct 9 ms 724 KB Output is correct
38 Correct 9 ms 736 KB Output is correct
39 Correct 9 ms 724 KB Output is correct
40 Correct 8 ms 724 KB Output is correct
41 Correct 8 ms 740 KB Output is correct
42 Correct 8 ms 724 KB Output is correct
43 Correct 10 ms 728 KB Output is correct
44 Correct 10 ms 724 KB Output is correct
45 Correct 10 ms 728 KB Output is correct