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hdu 3410 單調棧

repl nal printf another telling all clu test mod

http://acm.hdu.edu.cn/showproblem.php?pid=3410

Passing the Message

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 827 Accepted Submission(s): 546


Problem Description What a sunny day! Let’s go picnic and have barbecue! Today, all kids in “Sun Flower” kindergarten are prepared to have an excursion. Before kicking off, teacher Liu tells them to stand in a row. Teacher Liu has an important message to announce, but she doesn’t want to tell them directly. She just wants the message to spread among the kids by one telling another. As you know, kids may not retell the message exactly the same as what they was told, so teacher Liu wants to see how many versions of message will come out at last. With the result, she can evaluate the communication skills of those kids.
Because all kids have different height, Teacher Liu set some message passing rules as below:

1.She tells the message to the tallest kid.

2.Every kid who gets the message must retell the message to his “left messenger” and “right messenger”.

3.A kid’s “left messenger” is the kid’s tallest “left follower”.

4.A kid’s “left follower” is another kid who is on his left, shorter than him, and can be seen by him. Of course, a kid may have more than one “left follower”.

5.When a kid looks left, he can only see as far as the nearest kid who is taller than him.

The definition of “right messenger” is similar to the definition of “left messenger” except all words “left” should be replaced by words “right”.

For example, suppose the height of all kids in the row is 4, 1, 6, 3, 5, 2 (in left to right order). In this situation , teacher Liu tells the message to the 3rd kid, then the 3rd kid passes the message to the 1st kid who is his “left messenger” and the 5th kid who is his “right messenger”, and then the 1st kid tells the 2nd kid as well as the 5th kid tells the 4th kid and the 6th kid.
Your task is just to figure out the message passing route.

Input The first line contains an integer T indicating the number of test cases, and then T test cases follows.
Each test case consists of two lines. The first line is an integer N (0< N <= 50000) which represents the number of kids. The second line lists the height of all kids, in left to right order. It is guaranteed that every kid’s height is unique and less than 2^31 – 1 .

Output For each test case, print “Case t:” at first ( t is the case No. starting from 1 ). Then print N lines. The ith line contains two integers which indicate the position of the ith (i starts form 1 ) kid’s “left messenger” and “right messenger”. If a kid has no “left messenger” or “right messenger”, print ‘0’ instead. (The position of the leftmost kid is 1, and the position of the rightmost kid is N)

Sample Input 2 5 5 2 4 3 1 5 2 1 4 3 5

Sample Output Case 1: 0 3 0 0 2 4 0 5 0 0 Case 2: 0 2 0 0 1 4 0 0 3 0

Source 2010 National Programming Invitational Contest Host by ZSTU 要找的就是每個元素左右兩側能看見的(如果被更高的擋住就表示看不見)比這個人低的所有人裏最高的那個,沒有的話輸出0; 顯然具有單調性,當比棧頂還低/空棧時表示沒符合條件的人,輸出0並入棧; 當高於棧頂時,由於是一個單調遞減棧,一直出棧找到符合條件的最高者記下id即可,記得把這個人最後入棧; 由於i=k時出棧的都是比a[k]矮的人,後面出現a[j]<a[k]的情況顯然他看不見pop掉的人,如果a[j]>a[k]則選a[k]顯然優於選pop掉的人,所以可以pop掉;
 1 #include <iostream>
 2 #include<algorithm>
 3 #include<stack>
 4 #include<cstdio>
 5 #include<cstring>
 6 using namespace std;
 7 typedef long long LL;
 8 const int MAX = 50005;
 9 int a[MAX], l[MAX], r[MAX];
10 int main()
11 {
12     int N, i, j, k, t;
13     scanf("%d", &t);
14     for (int cas = 1;cas <= t;++cas) 
15     {
16         stack<int>S;
17         //memset(l, 0, sizeof(l));
18         //memset(r, 0, sizeof(r));
19         scanf("%d", &N);
20         for (i = 1;i <= N;++i) scanf("%d", &a[i]);
21         for (i = 1;i <= N;++i) {
22             if (S.empty() || a[i]<a[S.top()]) {
23                 l[i] = 0;
24                 S.push(i);
25             }
26             else {
27                 while (!S.empty()&&a[S.top()]<a[i]) {
28                     l[i] = S.top();
29                     S.pop();
30                 }
31                 S.push(i);
32             }
33         }while (!S.empty())S.pop();
34         for (i = N;i >= 1;--i) {
35             if (S.empty() || a[i]<a[S.top()]) {
36                 r[i] = 0;
37                 S.push(i);
38             }
39             else {
40                 while (!S.empty() && a[S.top()]<a[i]) {
41                     r[i] = S.top();
42                     S.pop();
43                 }
44                 S.push(i);
45             }
46         }
47         printf("Case %d:\n", cas);
48         for (i = 1;i <= N;++i) printf("%d %d\n", l[i], r[i]);
49     }
50     return 0;
51 }

hdu 3410 單調棧