Formation is very important when taking a group photo. Given the rules of forming K rows with N people as the following:
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The number of people in each row must be N/K (round down to the nearest integer), with all the extra people (if any) standing in the last row;
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All the people in the rear row must be no shorter than anyone standing in the front rows;
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In each row, the tallest one stands at the central position (which is defined to be the position (m/2+1), where m is the total number of people in that row, and the division result must be rounded down to the nearest integer);
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In each row, other people must enter the row in non-increasing order of their heights, alternately taking their positions first to the right and then to the left of the tallest one (For example, given five people with their heights 190, 188, 186, 175, and 170, the final formation would be 175, 188, 190, 186, and 170. Here we assume that you are facing the group so your left-hand side is the right-hand side of the one at the central position.);
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When there are many people having the same height, they must be ordered in alphabetical (increasing) order of their names, and it is guaranteed that there is no duplication of names.
Now given the information of a group of people, you are supposed to write a program to output their formation.
Input Specification:
Each input file contains one test case. For each test case, the first line contains two positive integers N (≤104), the total number of people, and K (≤10), the total number of rows. Then N lines follow, each gives the name of a person (no more than 8 English letters without space) and his/her height (an integer in [30, 300]).
Output Specification:
For each case, print the formation -- that is, print the names of people in K lines. The names must be separated by exactly one space, but there must be no extra space at the end of each line. Note: since you are facing the group, people in the rear rows must be printed above the people in the front rows.
Sample Input:
10 3
Tom 188
Mike 170
Eva 168
Tim 160
Joe 190
Ann 168
Bob 175
Nick 186
Amy 160
John 159
Sample Output:
Bob Tom Joe Nick
Ann Mike Eva
Tim Amy John思路：
排序，有n个人排成k排，多余的全部放在最后一排。因为队列是面向我们的，则第一排就是输出的最后一排，后排都要比前排个子高，且每排中间的人个子最高，中间的两边按照身高从大到小依次插入左边、右边，想象排出来的个子就像一座山峰。
C++：
#include "algorithm"
#include "iostream"
#include "vector"
#include "string"
using namespace std;
struct node
{
string name;
int height;
};
vector<node> student;
bool cmp(node a,node b){
return a.height!=b.height? a.height>b.height:a.name<b.name;
}
int main(){
int n,k,m,j,i;
scanf("%d %d",&n,&k);
student.resize(n);
for (i=0;i<n;i++)
{
cin>>student[i].name>>student[i].height;
}
//根据身高、姓名从大到小排序
sort(student.begin(),student.end(),cmp);
int t = 0, row = k;
while(row) {
if(row == k)
m = n - n / k * (k - 1);//最后剩余那一行
else
m = n / k;
vector<string> stemp(m);
stemp[m / 2] = student[t].name;//最高的那位同学
// 左边一列
j = m / 2 - 1;
for(i = t + 1; i < t + m; i = i + 2)
stemp[j--] = student[i].name;
// 右边一列
j = m / 2 + 1;
for(i = t + 2; i < t + m; i = i + 2)
stemp[j++] = student[i].name;
// 输出当前排
cout << stemp[0];
for(i = 1; i < m; i++) cout << " " << stemp[i];
cout << endl;
t = t + m;
row--;
}
return 0;
}