题目链接
In order to remember history, King plans to play losephus problem in the parade gap.He calls n(1≤n≤5000) soldiers, counterclockwise in a circle, in label 1,2,3…n.
The first round, the first person with label 1 counts off, and the man who report number 1 is out.
The second round, the next person of the person who is out in the last round counts off, and the man who report number 2 is out.
The third round, the next person of the person who is out in the last round counts off, and the person who report number 3 is out.
The N - 1 round, the next person of the person who is out in the last round counts off, and the person who report number n−1 is out.
And the last man is survivor. Do you know the label of the survivor?
Input
The first line contains a number T(0<T≤5000), the number of the testcases.
For each test case, there are only one line, containing one integer n, representing the number of players.
Output
Output exactly T lines. For each test case, print the label of the survivor.
Sample Input
2
2
3
Sample Output
2
2
Hint:
For test case #1:the man who report number
is the man with label
, so the man with label
is survivor.
For test case #1:the man who report number is the man with label , so the man with label 1 is out. Again the the man with label 2 counts , the man with label counts , so the man who report number is the man with label . At last the man with label is survivor.
首先什么是约瑟夫环?
n个人站成一圈, 编号为1-n, 开始报数, 报到q的淘汰, 求最后的赢家;
对于n, 与 q, ans=(ans+q)%i;q表示报数为q的淘汰, i表示本局有多少人(n), ans表示上局获胜的人的下标(下标由0-(n-1)编号);
而此题中q是变化的, 需要稍微变形;
#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;
int main()
{
int n;
int a[105][105];
while(cin>>n&&n!=EOF)
{
memset(a,0,sizeof(a));
for(int i=0;i<n;i++)
{
int x,y;
cin>>x>>y;
a[x][y]=1;
}
int n1=0,n2=0;
for(int i=0;i<=100;i++)
{
for(int j=0;j<=100;j++)
{
if(a[i][j]==1)
{
n1++;
break;
}
}
}
for(int i=0;i<=100;i++)
{
for(int j=0;j<=100;j++)
{
if(a[j][i]==1)
{
n2++;
break;
}
}
}
int s=min(n1,n2);
cout<<s<<endl;
}
return 0;
}