The Next
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 808 Accepted Submission(s): 316
Problem Description
Let
L denote the number of 1s in integer
D’s binary representation. Given two integers
S1 and
S2, we call
D a WYH number if
S1≤L≤S2.
With a given D, we would like to find the next WYH number Y, which is JUST larger than D. In other words, Y is the smallest WYH number among the numbers larger than D. Please write a program to solve this problem.
With a given D, we would like to find the next WYH number Y, which is JUST larger than D. In other words, Y is the smallest WYH number among the numbers larger than D. Please write a program to solve this problem.
Input
The first line of input contains a number
T indicating the number of test cases (
T≤300000).
Each test case consists of three integers D, S1, and S2, as described above. It is guaranteed that 0≤D<231 and D is a WYH number.
Each test case consists of three integers D, S1, and S2, as described above. It is guaranteed that 0≤D<231 and D is a WYH number.
Output
For each test case, output a single line consisting of “Case #X: Y”.
X is the test case number starting from 1.
Y is the next WYH number.
Sample Input
3 11 2 4 22 3 3 15 2 5
Sample Output
Case #1: 12 Case #2: 25 Case #3: 17
Source
题目大意:
就是给定一个数d,让你求二进制数中1的个数>=s1同时<=s2中的数
解题思路:
首先得到这个数二进制中1的个数,然后让这个数+1,判断当d>s2 和<s1的情况,因为找的是最小值,
所以,只需要当<s1的时候将二进制中0的个数变为1
>s1的时候,将二进制中1的个数变为0
上代码:
/** 2015 - 09 - 22 下午 Author: ITAK Motto: 今日的我要超越昨日的我,明日的我要胜过今日的我, 以创作出更好的代码为目标,不断地超越自己。 **/ #include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <cmath> #include <vector> #include <queue> #include <algorithm> #include <set> using namespace std; #define MM(a) memset(a,0,sizeof(a)) typedef long long LL; typedef unsigned long long ULL; const int maxn = 10000+5; const int mod = 1000000007; const double eps = 1e-7; bool arr[35]; LL t; ///得到1的个数 LL get_1(LL x) { LL sum = 0; t = 0; while(x) { arr[t++] = x%2; if(x&1) sum++; x>>=1; } return sum; } int main() { LL d, s1, s2, T; scanf("%lld",&T); for(LL cas=1; cas<=T; cas++) { scanf("%lld%lld%lld",&d,&s1,&s2); MM(arr); t = 0; d++; while(1) { LL ans = get_1(d); if(ans < s1) { for(int i=0; i<t; i++) if(!arr[i]) { d += 1<<i; break; } } else if(ans > s2) { for(int i=0; i<t; i++) if(arr[i]) { d += 1<<i; break; } } else break; } printf("Case #%lld: %lld\n",cas,d); } return 0; }