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Candy Bags

Time Limit:1000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u
Submit Status Practice CodeForces 334A

Description

Gerald has n younger brothers and their number happens to be even. One day he bought n2 candy bags. One bag has one candy, one bag has two candies, one bag has three candies and so on. In fact, for each integer k from 1 to n2 he has exactly one bag with k candies.

Help him give n bags of candies to each brother so that all brothers got the same number of candies.

Input

The single line contains a single integer n (n is even, 2 ≤ n ≤ 100) — the number of Gerald‘s brothers.

Output

Let‘s assume that Gerald indexes his brothers with numbers from 1 to n. You need to print n lines, on the i-th line print n integers — the numbers of candies in the bags for the i-th brother. Naturally, all these numbers should be distinct and be within limits from 1 to n2. You can print the numbers in the lines in any order.

It is guaranteed that the solution exists at the given limits.

Sample Input

2
1 4
2 3

 

分析:对角线问题,根据对角线进行运算。

代码:

#include<stdio.h>#include<string.h>int main(){    int n,a[10001],i,j,x,f;    while(~scanf("%d",&n))    {        for(i=1;i<=n;i++)            a[i]=i;        f=0;        for(i=1;i<=n;i++)        {            x=i;            f=0;            for(j=1;j<=i;j++)            {                if(f==0)                {                    printf("%d",x);                    f=1;                }                else                {                    printf(" %d",x);                }                x+=n-1;            }            x=n*(i+1);            for(j=i+1;j<=n;j++)            {                if(x>n*n)                   break;                printf(" %d",x);                x+=n-1;            }            printf("\n");        }    }}


另一种方法:

#include <stdio.h>#include <string.h>#include <stdlib.h>#include <math.h>#include <stack>#include <queue>#include <vector>#include <iostream>#include <algorithm>using namespace std;#define MAXSIZE 100100#define eps 1e-8#define LL __int4#define N 110int a[N][N];int main(){    int n;    int i,j;    while(~scanf("%d",&n)){            int cnt = 1;        for(i = 0;i<n;i++)            for( j = 0;j<n;j++){                a[i][j] = cnt;                cnt+=1;            }           //  for(i = 0;i<n;i++)          //  for( j = 0;j<n;j++)               // printf("%d\n",a[i][j]);            int flag ;            int sum = 0;            for(j = 0;j<n;j++){                    flag = 1;                for( i = 0;i<n;i++){                        if(i+j>=n)                          sum = i+j-n;                        else                          sum = i+j;                    if(flag == 1){                       printf("%d",a[i][sum]);                       // printf("%d %d",i,sum);                        flag = 0;                    }                    else{                      printf(" %d",a[i][sum]);                      //  printf(" %d %d",i,sum);                    }                }                printf("\n");            }        }    return 0;}