loj10167. 「一本通 5.3 练习 2」不要 62

思路:

  g【i】【0】表示以非4, 6数开头的i位数串的个数,g【i】【1】表示以6为开头的i位数串的个数。(数串即为不忽略前导零)

  逐位比较,若当前为四或者当前为2且前一位为6,分别进行处理。

#include<cstdio>
#include<iostream>
#include<cstring>
using namespace std;
const long long maxn = 110;
long long g[maxn][maxn];
long long pow10[maxn];
long long a, b;
void init(){
    pow10[0] = 1;
    for(long long i = 1; i <= 20; ++i)
        pow10[i] = pow10[i-1] * 10;
    memset(g, 0, sizeof(g));
    g[1][0] = 1;
    g[1][1]    = 1;
    for(long long i = 2; i <= 12; ++i){
        g[i][0] = 8 * g[i - 1][0] + g[i - 1][1];
        g[i][1] = 7 * g[i - 1][0] + g[i - 1][1];
    }
}

long long getws(long long x){
    for(long long i = 18; i >= 0; --i)
        if(x >= pow10[i])
            return i + 1;
    return 1;        
}
long long getxk(long long x, long long k){
    if(k > getws(x))    return 0;
    return (x / pow10[k-1]) % 10;
}
long long DP(long long x, long long ws){
    if(x == -1)    return 0;
    long long ans = 0;
    for(long long i = ws; i >= 1; --i){
        for(long long j = getxk(x, i) - 1; j >= 0; --j){
            if(j != 4 && j != 6 && (j != 2 || getxk(x, i + 1) != 6))
                ans += g[i][0];
            else if(j == 6)
                ans += g[i][1];        
        }
        if(getxk(x, i) == 4 || (getxk(x, i) == 2 && getxk(x, i + 1) == 6))
            return ans;
    }
    ans++;
    if((getxk(x, 1) == 2 && getxk(x, 2) == 6) || getxk(x, 1) == 4)
        ans--;
    return ans;                
}
int main(void){
    init();
    while(cin >> a >> b){
        if(a == 0 && b == 0)    break;
        cout << DP(b, getws(b)) - DP(a - 1, getws(a - 1)) << endl;
    }
}

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转载自www.cnblogs.com/junk-yao-blog/p/9496157.html