刘聪 集训队里面的一篇文章 (浅谈数位统计)如果大于1 后面的所有位都变成1 这是满足条件的能到达的最大值
#include<iostream> #include<stdio.h> #include<cstring> #include<algorithm> using namespace std; int X,Y,K,B,arr[33],F[33][33]; int work( int num ) { int i,j,t = num,k = 0; while( t ) { arr[k++] = t%B; t /= B; } for( i = k-1; i >= 0 ; i-- ) if( arr[i] > 1 ) { for( j = i; j >= 0; j-- ) arr[j] = 1; break; } num = 0; for( i = k-1; i>= 0 ; i-- ) if( arr[i] ) num += (1<<i); int ans = 0,total = 0; for( i = 31; i; i-- ) { if( num&(1<<i) ) { total++; if( total > K )break; num^=(1<<i); } if( (1<<(i-1)) <= num ) ans += F[i-1][K-total]; } if( num + total == K )ans++; return ans; } int main( ) { F[0][0] = 1; for( int i = 1; i <=32; i++ ) { F[i][0] = 1; for( int j = 1; j <= i; j++ ) F[i][j] = F[i-1][j] + F[i-1][j-1]; } while( scanf("%d%d%d%d",&X,&Y,&K,&B) != EOF ) printf("%d\n",work( Y ) - work( X - 1 ) ); return 0; } /* 123 312312 3 3 0 321321 3 4 1232 32131321 2 3 901 936 247 */