Submission #219583

# Submission time Handle Problem Language Result Execution time Memory
219583 2020-04-05T16:15:09 Z socho Palindrome-Free Numbers (BOI13_numbers) C++14
100 / 100
12 ms 1024 KB
#include "bits/stdc++.h"
using namespace std;
// #define endl '\n'
// #define double long double
#define int long long
// int MOD = 1000 * 1000 * 1000 + 7;
// int MOD = 998244353;
// const int MXN = 100005;

const int MXN = 20;
int digits[MXN];

void load(int a) {
	for (int i=19; i>=0; i--) {
		digits[i] = a % 10;
		a /= 10;
	}
}

int dp[MXN][2][MXN][10][10];

void dpclear() {
	for (int i=0; i<MXN; i++) {
		for (int j=0; j<2; j++) {
			for (int k=0; k<MXN; k++) {
				for (int a=0; a<10; a++) {
					for (int b=0; b<10; b++) {
						dp[i][j][k][a][b] = -1;
					}
				}
			}
		}
	}
}

int solve(int at, bool atmin, int placed, int last1, int last2) {
	if (at == MXN) return 1; // finished
	// cout << at << ' ' << atmin << ' ' << placed << ' ' << last1 << ' ' << last2 << endl;
	if (dp[at][atmin][placed][last1][last2] != -1) return dp[at][atmin][placed][last1][last2];
	int ans = 0;
	for (int i=0; i<=9; i++) {
		if (atmin && i > digits[at]) {
			// violates range
			continue;
		}
		else {
			bool mncond = atmin && (i == digits[at]);
			if (placed == 0) {
				// first digit, no restriction
				// cout << "tried placing: " << i << endl;
				if (i == 0) ans += solve(at+1, mncond, 0, i, 0);
				else ans += solve(at+1, mncond, placed+1, i, 0);
			}
			else if (placed == 1) {
				// second digit, only first restrict
				if (i != last1) {
					// cout << "tried placing: " << i << endl;
					ans += solve(at+1, mncond, placed+1, i, last1);
				}
			}
			else {
				// any other digit, all restrictions
				if (i != last1) {
					if (i != last2) {
						// cout << "tried placing: " << i << endl;
						ans += solve(at+1, mncond, placed+1, i, last1);
					}
				}
			}
			
		}
		
	}
	return dp[at][atmin][placed][last1][last2] = ans;
}

bool can(int a) {
    if (a <= 10) return true;
	string s = "";
	while (a > 0) {
		int x = a % 10;
		a /= 10;
		s += ((char) '0' + x);
	}
	for (int i=0; i<s.size()-1; i++) {
		if (s[i] == s[i+1]) return false;
	}
	for (int i=0; i<s.size()-2; i++) {
		if (s[i] == s[i+2]) return false;
	}
	return true;
	
}

signed main() {
	
	int a, b;
	cin >> a >> b;
	
	load(b);
	dpclear();
	
	int upto = solve(0, 1, 0, 0, 0);
	
	load(a);
	dpclear();
	int unto = solve(0, 1, 0, 0, 0);
	
	cout << upto - unto + can(a) << endl;
	
}

Compilation message

numbers.cpp: In function 'bool can(long long int)':
numbers.cpp:85:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i=0; i<s.size()-1; i++) {
                ~^~~~~~~~~~~
numbers.cpp:88:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i=0; i<s.size()-2; i++) {
                ~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 1024 KB Output is correct
2 Correct 5 ms 896 KB Output is correct
3 Correct 6 ms 1024 KB Output is correct
4 Correct 5 ms 964 KB Output is correct
5 Correct 5 ms 896 KB Output is correct
6 Correct 5 ms 896 KB Output is correct
7 Correct 8 ms 1024 KB Output is correct
8 Correct 5 ms 896 KB Output is correct
9 Correct 5 ms 896 KB Output is correct
10 Correct 5 ms 896 KB Output is correct
11 Correct 5 ms 896 KB Output is correct
12 Correct 5 ms 768 KB Output is correct
13 Correct 5 ms 1024 KB Output is correct
14 Correct 5 ms 896 KB Output is correct
15 Correct 5 ms 896 KB Output is correct
16 Correct 5 ms 896 KB Output is correct
17 Correct 5 ms 896 KB Output is correct
18 Correct 5 ms 896 KB Output is correct
19 Correct 6 ms 896 KB Output is correct
20 Correct 5 ms 896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 1024 KB Output is correct
2 Correct 6 ms 896 KB Output is correct
3 Correct 6 ms 896 KB Output is correct
4 Correct 6 ms 1024 KB Output is correct
5 Correct 5 ms 896 KB Output is correct
6 Correct 6 ms 896 KB Output is correct
7 Correct 5 ms 896 KB Output is correct
8 Correct 5 ms 1024 KB Output is correct
9 Correct 5 ms 896 KB Output is correct
10 Correct 5 ms 1024 KB Output is correct
11 Correct 5 ms 896 KB Output is correct
12 Correct 5 ms 896 KB Output is correct
13 Correct 5 ms 896 KB Output is correct
14 Correct 5 ms 1024 KB Output is correct
15 Correct 5 ms 1024 KB Output is correct
16 Correct 6 ms 1024 KB Output is correct
17 Correct 12 ms 896 KB Output is correct
18 Correct 7 ms 896 KB Output is correct
19 Correct 6 ms 896 KB Output is correct
20 Correct 7 ms 1024 KB Output is correct
21 Correct 7 ms 896 KB Output is correct
22 Correct 6 ms 896 KB Output is correct
23 Correct 6 ms 896 KB Output is correct
24 Correct 6 ms 896 KB Output is correct
25 Correct 7 ms 896 KB Output is correct
26 Correct 6 ms 896 KB Output is correct
27 Correct 6 ms 896 KB Output is correct
28 Correct 7 ms 896 KB Output is correct
29 Correct 6 ms 1024 KB Output is correct
30 Correct 6 ms 1024 KB Output is correct
31 Correct 6 ms 1024 KB Output is correct
32 Correct 6 ms 1024 KB Output is correct
33 Correct 6 ms 1024 KB Output is correct
34 Correct 6 ms 896 KB Output is correct
35 Correct 6 ms 896 KB Output is correct
36 Correct 6 ms 896 KB Output is correct
37 Correct 6 ms 1024 KB Output is correct
38 Correct 7 ms 896 KB Output is correct
39 Correct 7 ms 1024 KB Output is correct
40 Correct 6 ms 896 KB Output is correct
41 Correct 6 ms 896 KB Output is correct
42 Correct 8 ms 896 KB Output is correct
43 Correct 6 ms 896 KB Output is correct
44 Correct 6 ms 896 KB Output is correct
45 Correct 7 ms 896 KB Output is correct