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Codeforces Round #289 (Div. 2, ACM ICPC Rules) B. Painting Pebbles

2019年02月15日 ⁄ 综合 ⁄ 共 2418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
k given 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 i and 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 ≤ k,
1 ≤ 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


贪心, 水题

/*************************************************************************
    > File Name: cf289b.cpp
    > Author: ALex
    > Mail: zchao1995@gmail.com 
    > Created Time: 2015年02月01日 星期日 13时00分21秒
 ************************************************************************/

#include <map>
#include <set>
#include <queue>
#include <stack>
#include <vector>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;

const double pi = acos(-1);
const int inf = 0x3f3f3f3f;
const double eps = 1e-15;
typedef long long LL;
typedef pair <int, int> PLL;
const int N = 120;

int a[N];
int b[N][N];

int main ()
{
	int n, k;
	while (~scanf("%d%d", &n, &k))
	{
		int minc = inf, maxc = -inf;
		memset (b, 0, sizeof(b));
		for (int i = 1; i <= n; ++i)
		{
			scanf("%d", &a[i]);
			minc = min(minc, a[i]);
		}
		for (int i = 1; i <= n; ++i)
		{
			if (a[i] == minc)
			{
				a[i] -= minc;
				b[i][1] = minc;
			}
			else
			{
				a[i] -= (minc + 1);
				b[i][1] = minc + 1;
			}
			maxc = max (a[i], maxc);
		}
		bool flag = true;
		if (maxc > (k - 1))
		{
			printf("NO\n");
			continue;
		}
		printf("YES\n");
		for (int i = 1;i <= n; ++i)
		{
			int t = 2;
			for (int j = 1; j <= a[i]; ++j)
			{
				b[i][t++] = 1;
			}
		}
		for (int i = 1; i <= n; ++i)
		{
			for (int j = 1; j <= k; ++j)
			{
				if (b[i][j])
				{
					for (int x = 1; x <= b[i][j]; ++x)
					{
						printf("%d ", j);
					}
				}
			}
			printf("\n");
		}
	}
	return 0;
}

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