CF459C.Pashmak and Buses

普及/提高-

通过率:0%

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题目描述

Recently Pashmak has been employed in a transportation company. The company has kk buses and has a contract with a school which has nn students. The school planned to take the students to dd different places for dd days (each day in one place). Each day the company provides all the buses for the trip. Pashmak has to arrange the students in the buses. He wants to arrange the students in a way that no two students become close friends. In his ridiculous idea, two students will become close friends if and only if they are in the same buses for all dd days.

Please help Pashmak with his weird idea. Assume that each bus has an unlimited capacity.

输入格式

The first line of input contains three space-separated integers n,k,dn,k,d (1<=n,d<=1000; 1<=k<=109)(1<=n,d<=1000; 1<=k<=10^{9}) .

输出格式

If there is no valid arrangement just print -1. Otherwise print dd lines, in each of them print nn integers. The jj -th integer of the ii -th line shows which bus the jj -th student has to take on the ii -th day. You can assume that the buses are numbered from 11 to kk .

输入输出样例

  • 输入#1

    3 2 2
    

    输出#1

    1 1 2 
    1 2 1 
    
  • 输入#2

    3 2 1
    

    输出#2

    -1
    

说明/提示

Note that two students become close friends only if they share a bus each day. But the bus they share can differ from day to day.

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