[sgu 548] Dragons and Princesses

题目描述：

 Dragons and Princesses

Time limit per test: 2 second(s)
Memory limit: 262144 kilobytes

input: standard
output: standard

Once upon a time there lived the Knight. Being very courageous he decided to make a long journey full of fights and adventures. The map of this journey can be represented as a row withn cells numbered from 1 to n from left to right. Initially the Knight is located at the leftmost cell (cell number 1). He should pass all the cells one by one and finish his way at the rightmost cell (cell numbern). He is not allowed to move back or skip some cells, he will visit all the cells from the first to the last.

Each cell except the first one contains either a dragon or a princess. Each dragon has a chest with gold coins. The dragon at the celli keeps g_i coins. Every time the Knight steps to a cell with a dragon he has a choice  — to kill the dragon or just to pass through. The Knight is very strong and dexterous, so it is not a problem for him to kill any dragon on his way. If a dragon is killed the Knight gets all the gold dragon possessed.

When the Knight steps to the cell with a princess, she wonders how many dragons he has killed. If that number is greater or equal to her beautyb_i, the princess considers the Knight brave enough and instantly asks him to marry her. Being a true gentleman, the Knight cannot refuse and his adventure immediately ends.

The Knight loves the princess who lives in the cell number n and wants to marry her. Also during the journey he wants to collect as much gold as possible. Please help him to accomplish this task.

Input

The first line of the input contains a single integern (2 ≤ n ≤ 2·10⁵) — the number of cells. The next n-1 lines describe cells from 2 to n.

If the cell number i contains a dragon, the i-th line of the input contains letter "

d

" followed by a single integer g_i (1 ≤g_i ≤ 10⁴) — the number of coins the dragon keeps. The letter and the integer are separated by a single space.

If the cell number i contains a princess, the i-th line of the input contains letter "

p

" followed by a single integer b_i (1 ≤b_i ≤ 2·10⁵) — the beauty of the princess. The letter and the integer are separated by a single space. It is guaranteed that the last cell contains a princess.

Output

On the first line of the output print a single integer — the maximum number of gold coins the Knight can collect. On the second line print a single integerk — the number of dragons to kill. The third line should contain k integers — the numbers of the cells where the Knight should kill a dragon. The cell numbers should be printed in the increasing order.

If there are several optimal solutions, output any of them. If the Knight can't marry his beloved princess, just print

-1

in the first line of the output.

Example(s)

sample input

sample output

6d 10d 12p 2d 1p 2

1323 5

sample input

sample output

6d 10d 12p 2d 1p 3

-1

这道题开始贪心的算法想错了T.T，后来听大神说了后发现还是比较简单的，可以用优先队列把龙存下来，再按照公主的顺序，如果龙的优先队列少于公主的要求则不做任何事，如果多于，则减少pi值少的直至符合少于，最后判断排序一下输出就行了，哦，对了，可以用结构体保存龙的pi值和序号。

#include<iostream>#include<cstdio>#include<queue>#include<algorithm>#include<cstring>using namespace std;struct d{friend bool operator< (d n1,d n2){return n1.p>n2.p;}int p,x;};priority_queue<d> a;queue<int> b;int order[200001];int main(){int n;while(scanf("%d",&n)!=EOF) { for (int i=1;i<n-1;i++)  {  char p;  int c;  scanf(" %c%d",&p,&c);  if (p=='d')   {   d e;   e.p=c;   e.x=i+1;   a.push(e);   }   else b.push(c);   while(!b.empty())  {  int cnt=b.front();  int m=a.size();  for (int i=1;i<=m-cnt+1;i++)   a.pop();  b.pop();  }   }  char p;  int min;  scanf(" %c%d",&p,&min);    int m=a.size();  int sum=0;  int cnt=0;  memset(order,0,sizeof order);   for (int i=1;i<=m;i++)    {    d e;    e=a.top();    sum+=e.p;    order[cnt++]=e.x;    a.pop();    }  if (sum==0||m<min)   printf("-1\n");   else {   printf("%d\n%d\n",sum,m);   sort(order,order+m);   printf("%d",order[0]);   for (int i=1;i<m;i++)    printf(" %d",order[i]);   printf("\n");   }    }  return 0;  }