Array
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)
Problem Description
Vicky is a magician who loves math. She has great power in copying and creating.
One day she gets an array {1}。 After that, every day she copies all the numbers in the arrays she has, and puts them into the tail of the array, with a signle '0' to separat.
Vicky wants to make difference. So every number which is made today (include the 0) will be plused by one.
Vicky wonders after 100 days, what is the sum of the first M numbers.
One day she gets an array {1}。 After that, every day she copies all the numbers in the arrays she has, and puts them into the tail of the array, with a signle '0' to separat.
Vicky wants to make difference. So every number which is made today (include the 0) will be plused by one.
Vicky wonders after 100 days, what is the sum of the first M numbers.
Input
There are multiple test cases.
First line contains a single integer T, means the number of test cases. (1≤T≤2∗103)
Next T line contains, each line contains one interger M. (1≤M≤1016)
First line contains a single integer T, means the number of test cases. (1≤T≤2∗103)
Next T line contains, each line contains one interger M. (1≤M≤1016)
Output
For each test case,output the answer in a line.
Sample Input
3 1 3 5
Sample Output
1 4 7
Source
题目链接:
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#pragma comment(linker, "/STACK:1024000000,1024000000") #include<iostream> #include<cstdio> #include<cmath> #include<string> #include<queue> #include<algorithm> #include<stack> #include<cstring> #include<vector> #include<list> #include<set> #include<map> using namespace std; #define ll long long #define pi (4*atan(1.0)) #define eps 1e-14 #define bug(x) cout<<"bug"<<x<<endl; const int N=1e5+30010,M=1e6+10,inf=2147483647; const ll INF=1e18+10,mod=2147493647; set<ll>s; set<ll>::iterator it; ll dfs(ll n) { //cout<<n<<endl; if(n==0) return 0; it=s.find(n); if(it!=s.end()) return 2*dfs(n/2)+n-n/2; it=s.upper_bound(n); it--; ll x=n-(*it); ll z=(*it); return dfs(z)+dfs(x-1)+n-z; } int main() { for(int i=0;i<55;i++) s.insert((1LL<<i)-1); int T; scanf("%d",&T); while(T--) { ll n; scanf("%lld",&n); ll ans=dfs(n); printf("%lld\n",ans); } return 0; }
Vicky是一位热爱数学的魔法师,她使用一种特殊的复制与创建技巧处理数组。本篇介绍了如何通过这种技巧处理初始数组{1}
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