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Codefroecs 289 div2 B. Painting Pebbles(贪心)

2018年04月28日 ⁄ 综合 ⁄ 共 2271字 ⁄ 字号 评论关闭
B. Painting Pebbles
time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

There are n piles of pebbles on the table, the i-th
pile contains ai pebbles.
Your task is to paint each pebble using one of the kgiven colors so that for each color c and
any two piles i and j the difference between
the number of pebbles of color c in pile iand
number of pebbles of color c in pile j is at
most one.

In other words, let's say that bi, c is
the number of pebbles of color c in the i-th
pile. Then for any 1 ≤ c ≤ k1 ≤ i, j ≤ n the
following condition must be satisfied |bi, c - bj, c| ≤ 1.
It isn't necessary to use all k colors: if color c hasn't
been used in pile i, then bi, c is
considered to be zero.

Input

The first line of the input contains positive integers n and k (1 ≤ n, k ≤ 100),
separated by a space — the number of piles and the number of colors respectively.

The second line contains n positive integers a1, a2, ..., an (1 ≤ ai ≤ 100)
denoting number of pebbles in each of the piles.

Output

If there is no way to paint the pebbles satisfying the given condition, output "NO" (without quotes) .

Otherwise in the first line output "YES" (without quotes). Then n lines
should follow, the i-th of them should contain ai space-separated
integers. j-th (1 ≤ j ≤ ai)
of these integers should be equal to the color of the j-th pebble in the i-th
pile. If there are several possible answers, you may output any of them.

Sample test(s)
input
4 4
1 2 3 4
output
YES
1
1 4
1 2 4
1 2 3 4
input
5 2
3 2 4 1 3
output
NO
input
5 4
3 2 4 3 5
output
YES
1 2 3
1 3
1 2 3 4
1 3 4
1 1 2 3 4
解题思路:
这题读了好一会,左右颠倒总算理解了,就是说,有n堆物品,每堆物品a[i]个,然后用k种颜色给这n堆物品中的每个物品染色,保证任意两堆的物品中每个物品所染的相同颜色的次数不能超过1,就拿第一个样例来说吧。n=4,k=4,a[1]=1,a[2]=2,a[3]=3,
a[4]=4,输出的结果是,第一堆的一个物品染成颜色1,第二堆的两个物品分别染成颜色1,4,第三堆的三个物品分别染成颜色1,2,4.第四堆的四个物品分别染成颜色1,2,3,4。注意:不要把颜色的编号和物品的编号搞混了。
现在来分析下样例吧,颜色1在4堆物品中都用到了1次,所以说,任意两堆的差值都是0,颜色2在第三堆和第四堆被用到了,其他堆都是0,所以说任意两堆的差值也是不超过1的。依次往下分析颜色3,颜色4就好。。。。。
所以呢,首先应该找到的是这堆物品中的最小值和最大值,如果最大值-最小值>k的话,那么我们就直接输出NO。(很简单了,认真画画就出来了)
如果满足条件的话,先出个YES,然后每次第一个物品都用1染,再用、、、
代码:
# include<cstdio>
# include<iostream>
# include<algorithm>
# include<cmath>
# include<cstring>

using namespace std;

int a1[105];

int main(void)
{
    int n,k;
    int p;
    cin>>n>>k;
    for( int i = 0;i < n;i++ )
    {
        cin>>a1[i];
    }

   int _min = a1[0];
   int _max = a1[0];
   for ( int i = 0;i < n;i++ )
   {
       if ( a1[i] < _min )
       {
           _min = a1[i];
       }
       if ( a1[i] > _max )
       {
           _max = a1[i];
       }
   }

    if( _max-_min > k )
    {
        printf("NO\n");
    }
    else{
        printf("YES\n");
        for( int i = 0;i < n;i++ )
        {
            printf("1");
            for( int j = 2;j <= a1[i];j++ )
            {
                p = j;
                while( p > k )
                p = p - k;
                printf(" %d",p);
            }
            printf("\n");
        }
    }
    return 0;
}

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