codeforces 732 B 贪心

B. Cormen — The Best Friend Of a Man

time limit per test:1 second
memory limit per test:256 megabytes
input:standard input
output:standard output
Recently a dog was bought for Polycarp. The dog’s name is Cormen. Now Polycarp has a lot of troubles. For example, Cormen likes going for a walk.
Empirically Polycarp learned that the dog needs at least k walks for any two consecutive days in order to feel good. For example, if k = 5and yesterday Polycarp went for a walk with Cormen 2 times, today he has to go for a walk at least 3 times.

Polycarp analysed all his affairs over the next n days and made a sequence of n integers a1, a2, …, an, where ai is the number of times Polycarp will walk with the dog on the i-th day while doing all his affairs (for example, he has to go to a shop, throw out the trash, etc.).
Help Polycarp determine the minimum number of walks he needs to do additionaly in the next n days so that Cormen will feel good during all the n days. You can assume that on the day before the first day and on the day after the n-th day Polycarp will go for a walk with Cormen exactly k times.
Write a program that will find the minumum number of additional walks and the appropriate schedule — the sequence of integersb1, b2, …, bn (bi ≥ ai), where bi means the total number of walks with the dog on the i-th day.

Input

The first line contains two integers n and k (1 ≤ n, k ≤ 500) — the number of days and the minimum number of walks with Cormen for any two consecutive days.
The second line contains integers a1, a2, …, an (0 ≤ ai ≤ 500) — the number of walks with Cormen on the i-th day which Polycarp has already planned.

Output

In the first line print the smallest number of additional walks that Polycarp should do during the next n days so that Cormen will feel good during all days.
In the second line print n integers b1, b2, …, bn, where bi — the total number of walks on the i-th day according to the found solutions (ai ≤ bi for all i from 1 to n). If there are multiple solutions, print any of them.

Examples

input

3 5
2 0 1

output

4
2 3 2

input

3 1
0 0 0

output

1
0 1 0

input

4 6
2 4 3 5

output

0
2 4 3 5

题解:

题意是说有个人要遛狗,然后这条狗这要在两天内被溜一定次数就很舒服,然后现在给你这个人得日程表,表示他每天原计划溜狗多少次,然后问你还需添加多少次才能满足那条狗,给出最小值,然后输出修改后的数列
这道题很简单,我们发现如果有三天都不能满足时,我们让中间去使两边满足是最优的,那么我们就可以用贪心的思想,如果当前不行,让下一天变大。

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
int num[505];
int main()
{
	int n, m;
	cin >> n >> m;
	for (int i = 1; i <= n; i++)
		scanf("%d", &num[i]);
	int ans = 0;
	for (int i = 1; i < n; i++)
	{
		int ls = num[i] + num[i+1];
		if (ls < m)
		{
			ans += m - ls;
			num[i+1] += m - ls;
		}
	}
	cout << ans << endl;
	for (int i = 1; i <= n; i++)
	{
		cout << num[i] << " ";
	}
	return 0;
}

 

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