HDU 1988 Flipping Burned Pancakes （同uva煎饼一样的题）

Problem Description

The cook at the Frobbozz Magic Pancake House sometimes falls asleep on the job while cooking pancakes. As a result, one side of a stack of pancakes is often burned. Clearly, it is bad business to serve visibly burned pancakes to the patrons. Before serving, the waitress will arrange the stacks of pancakes so that the burned sides are facing down. You must write a program to aid the waitress in stacking the pancakes correctly.
We start with a stack of N pancakes of distinct sizes, each of which is burned on one side. The problem is to convert the stack to one in which the pancakes are in size order with the smallest on the top and the largest on the bottom and burned side down for each pancake. To do this, we are
allowed to flip the top k pancakes over as a unit (so the k-th pancake is now on top and the pancake previously on top is now in the k-th position and the burned side goes from top to bottom and vice versa).
For example (+ indicates burned bottom, - a burned top):



You must write a program which finds a sequence of at most (3n – 2) flips, which converts a given stack of pancakes to a sorted stack with burned sides down.

 

Input

The first line of the input contains a single decimal integer, N, the number of problem instances to follow. Each of the following N lines gives a separate dataset as a sequence of numbers separated by spaces. The first number on each line gives the number, M, of pancakes in the data set. The remainder of the data set is the numbers 1 through M in some order, each with a plus or minus sign, giving the initial pancake stack. The numbers indicate the relative sizes of the pancakes and the signs indicate whether the burned side is up (-) or down (+). M will be, at most, 30.

 

Output

For each dataset, you should generate one line of output with the following values: The dataset number as a decimal integer (start counting at one), a space, the number of flips (K, where K >= 0) required to sort the pancakes and a sequence of K numbers, each of which gives the number of pancakes to flip on the corresponding sorting step. There may be several correct solutions for some datasets. For instance 3 2 3 is also a solution to the first problem below.

 

Sample Input

33 +1 -3 -24 -3 +1 -2 -45 +1 +2 +3 +4 -5

 

Sample Output

1 6 2 1 3 1 2 12 6 4 1 4 3 1 23 3 5 1 5

题意：n块煎饼，尺寸分别为1至n，从上到下堆成一堆。正面朝上为+，反面朝上为-。每次可以选择上面若干块整个翻转过来。求翻转的步骤，能使得最后正面朝上，尺寸从上到下是小到大。

mark：没啥困难的，每次选最大的那个经过不超过3次操作翻到最底下。sample给得很好，主要是注意最顶上1的处理就可以了。

 

#include<iostream>#include<cstdio>#include<algorithm>#include<cmath>using namespace std;int a[50],ans[50];void sswap(int x){int i,j;for(i=1,j=x;i<=x/2;i++,j--) {int temp=a[i];a[i]=a[j];a[j]=temp;}for(i=1;i<=x;i++) a[i]=-a[i];}int main(){int i,j,t,n;cin>>t;for(int _=1;_<=t;_++) {cin>>n;for(i=1;i<=n;i++) cin>>a[i];int k=0;for(i=n;i>=1;i--) {if(a[i]!=i) {for(j=1;j<i;j++) {if(fabs(a[j])==i) break;}if(j!=1) {sswap(j);ans[k++]=j;}if(a[1]>0) {sswap(1);ans[k++]=1;} sswap(i);ans[k++]=i;}}printf("%d %d",_,k);for(i=0;i<k;i++) printf(" %d",ans[i]);printf("\n");}return 0;}