Submission #579929

#	Time	Username	Problem	Language	Result	Execution time	Memory
579929		birthdaycake	Palindrome-Free Numbers (BOI13_numbers)	C++17	100 / 100	1 ms	412 KiB

numbers

#include<bits/stdc++.h>
#define int long long
#define boost ios_base::sync_with_stdio(false), cin.tie(NULL);
#define mod 1000000007
using namespace std;
 
string a,b;
int n;
int dp[20][10][10][2][3];

// n1 -> i - 1, n2 -> i - 2
int solve(int i, int n1, int n2, int tag, int z){
    if(i == n)  return 1;
    if(dp[i][n1][n2][tag][z] != -1) return dp[i][n1][n2][tag][z];
    dp[i][n1][n2][tag][z] = 0;
    if(tag){
        if(z == 0){
            for(int j = 0; j <= 9; j++){
                if(j == 0){
                    dp[i][n1][n2][tag][z] += solve(i + 1, n2, n1, tag, 0);
                    continue;
                }
               dp[i][n1][n2][tag][z] += solve(i + 1, j, n1, tag, 1);
            }
        }
        else if(z == 1){
            for(int j = 0; j <= 9; j++){
                if(j != n1) dp[i][n1][n2][tag][z] += solve(i + 1, j, n1, tag, 2);
            }
        }else{
            for(int j = 0; j <= 9; j++){
                if(j != n1 && j != n2) dp[i][n1][n2][tag][z] += solve(i + 1, j, n1, tag, 2);
            }
        }
    }else{
        if(z == 0){
            int x = b[i] - '0';
            dp[i][n1][n2][tag][z] += solve(i + 1, n1, n2, 1, 0);
            for(int j = 1; j < x; j++){
               dp[i][n1][n2][tag][z] += solve(i + 1, j, n1, 1, 1);
            }
            dp[i][n1][n2][tag][z] += solve(i + 1, x, n1, tag, 1);
        }
        else if(z == 1){
            int x = b[i] - '0';
            for(int j = 0; j < x; j++){
                if(j != n1) dp[i][n1][n2][tag][z] += solve(i + 1, j, n1, 1, 2);
            }
            if(x != n1) dp[i][n1][n2][tag][z] += solve(i + 1, x, n1, tag, 2);
            
        }else{
            int x = b[i] - '0';
            for(int j = 0; j < x; j++){
                //cout << n2 << ' ' << n1 << ' ' << j << endl;
                if(j != n1 && j != n2) dp[i][n1][n2][tag][z] += solve(i + 1, j, n1, 1, 2);
            }
            if(x != n1 && x != n2) dp[i][n1][n2][tag][z] += solve(i + 1, x, n1, tag, 2);
        }
    }
    return dp[i][n1][n2][tag][z];
    
}
int solve2(int i, int n1, int n2, int tag, int z){
    if(i == n) return 1;
    
    if(dp[i][n1][n2][tag][z] != -1) return dp[i][n1][n2][tag][z];
    dp[i][n1][n2][tag][z] = 0;
    if(tag){
        if(z == 0){
            for(int j = 0; j <= 9; j++){
                if(j == 0){
                    dp[i][n1][n2][tag][z] += solve2(i + 1, j, n1, tag, 0);
                    continue;
                }
               dp[i][n1][n2][tag][z] += solve2(i + 1, j, n1, tag, 1);
            }
        }
        else if(z == 1){
            for(int j = 0; j <= 9; j++){
                if(j != n1) dp[i][n1][n2][tag][z] += solve2(i + 1, j, n1, tag, 2);
            }
        }else{
            for(int j = 0; j <= 9; j++){
                if(j != n1 && j != n2) dp[i][n1][n2][tag][z] += solve2(i + 1, j, n1, tag, 2);
            }
        }
    }else{
        if(z == 0){
            int x = a[i] - '0';
            dp[i][n1][n2][tag][z] += solve2(i + 1, n1, n2, 1, 0);
            for(int j = 1; j < x; j++){
               dp[i][n1][n2][tag][z] += solve2(i + 1, j, n1, 1, 1);
            }
            dp[i][n1][n2][tag][z] += solve2(i + 1, x, n1, tag, 1);
        }
        else if(z == 1){
            int x = a[i] - '0';
            for(int j = 0; j < x; j++){
                if(j != n1) dp[i][n1][n2][tag][z] += solve2(i + 1, j, n1, 1, 2);
            }
            if(x != n1) dp[i][n1][n2][tag][z] += solve2(i + 1, x, n1, tag, 2);
            
        }else{
            int x = a[i] - '0';
            for(int j = 0; j < x; j++){
                if(j != n1 && j != n2) dp[i][n1][n2][tag][z] += solve2(i + 1, j, n1, 1, 2);
            }
            if(x != n1 && x != n2) dp[i][n1][n2][tag][z] += solve2(i + 1, x, n1, tag, 2);
        }
    }
    return dp[i][n1][n2][tag][z];
    
}


signed main(){
 
   
    boost;
    
    cin >> a >> b;
    n = b.size();
    for(int i = 0; i < 20; i++){
        for(int j = 0; j <= 9; j++){
            for(int k = 0; k <= 9; k++){
                for(int l = 0; l < 2; l++){
                    for(int z = 0; z < 3; z++){
                        dp[i][j][k][l][z] = -1;
                    }
                }
            }
        }
    }
    int ans = solve(0,0,0,0,0);
    n = a.size();
    for(int i = 0; i < 20; i++){
        for(int j = 0; j <= 9; j++){
            for(int k = 0; k <= 9; k++){
                for(int l = 0; l < 2; l++){
                    for(int z = 0; z < 3; z++){
                        dp[i][j][k][l][z] = -1;
                    }
                }
            }
        }
    }
    ans -= solve2(0,0,0,0,0);
    int good = 1;
    for(int i = 0; i < n; i++){
        if(i - 1 >= 0){
            if(a[i] == a[i - 1]) good = 0;
        }
        if(i - 2 >= 0){
            if(a[i] == a[i - 2]) good = 0;
            
        }
    }
    if(a == "0" && b == "0"){
        cout << 1;
        return 0;
    }
    if(a == "0") good++;
    cout << ans + good;
    
    return 0;
}

• Subtask 1: 25 / 25
• Subtask 2: 75 / 75