Description

給定m$m$,n$n$，求m$m$到n$n$的所有整數中及不含’4’也不含’62’的數的個數。

Solution

直接數位DP即可。。。

Source

/****************************
 * Au: Hany01
 * Prob: [HDU2089] 不要62
 * Date: Feb 19th, 2018
 * Email: [email protected]
****************************/

#include<bits/stdc++.h>

using namespace std;

typedef long
 
 long LL;
typedef pair<int, int> PII;
typedef vector<int> VI;
#define rep(i , j) for (int i = 0 , i##_end_ = j; i < i##_end_ ; ++ i)
#define For(i , j , k) for (int i = (j) , i##_end_ = (k) ; i <= i##_end_ ; ++ i)
#define Fordown(i , j , k) for (int i = (j) , i##_end_ = (k) ; i >= i##_end_ ; -- i)
 

#define Set(a , b) memset(a , b , sizeof(a))
#define SZ(a) ((int)(a.size()))
#define ALL(a) a.begin(), a.end()
#define pb(a) push_back(a)
#define mp(a, b) make_pair(a, b)
#define INF (0x3f3f3f3f)
#define INF1 (2139062143)
#define Mod (1000000007)
#define y1 wozenmezhemecaia 
#ifdef hany01
#define debug(...) fprintf(stderr , __VA_ARGS__)
 

#else
#define debug(...)
#endif

inline void File() {
#ifdef hany01 
    freopen("hdu2089.in" , "r" , stdin);
    freopen("hdu2089.out" , "w" , stdout);
#endif
}

template<typename T> inline bool chkmax(T &a, T b) { return a < b ? a = b, 1 : 0; }
template<typename T> inline bool chkmin(T &a, T b) { return b < a ? a = b, 1 : 0; }

inline int read() {
    register char c_; register int _ , __;
    for (_ = 0 , __ = 1 , c_ = getchar() ; !isdigit(c_) ; c_ = getchar()) if (c_ == '-')  __ = -1;
    for ( ; isdigit(c_) ; c_ = getchar()) _ = (_ << 1) + (_ << 3) + (c_ ^ 48);
    return _ * __;
}

const int maxl = 9;

int dp[maxl][2], cnt, a[maxl];

int dfs(int pos, int pre, int sta, int lmt) //'pre' stands for the last number, 'sta' stands for whether the last number is '6'.
{
    if (!pos) return 1;
    if (!lmt && dp[pos][sta] >= 0) return dp[pos][sta];
    register int tmp = 0;
    For(i, 0, lmt ? a[pos] : 9) if ((pre != 6 || i != 2) && i != 4) tmp += dfs(pos - 1, i, i == 6, lmt && i == a[pos]);
    if (!lmt) dp[pos][sta] = tmp;
    return tmp;
}

inline int Solve(int t)
{
    cnt = 0;
    while (t) a[++ cnt] = t % 10, t /= 10;
    return dfs(cnt, -1, 0, 1);
}

int main()
{
    File();
    register int n, m; Set(dp, -1);
    while (n = read(), m = read(), n || m) printf("%d\n", Solve(m) - Solve(n - 1));
    return 0;
}