POJ-2299 Ultra-QuickSort (樹狀數組,離散化,C++)
阿新 • • 發佈:2017-08-20
test tle print integer += log operator 有意思 produce Problem Description
In this problem, you have to analyze a particular sorting algorithm. The algorithm processes a sequence of n distinct integers by swapping two adjacent sequence elements until the sequence is sorted in ascending order. For the input sequence
9 1 0 5 4 ,
Ultra-QuickSort produces the output
0 1 4 5 9 .
Your task is to determine how many swap operations Ultra-QuickSort needs to perform in order to sort a given input sequence.
Output
For every input sequence, your program prints a single line containing an integer number op, the minimum number of swap operations necessary to sort the given input sequence.
是數據的處理,逆序數。
所以思路來了,逆序數不就比大小嗎,直接就標上序號,來一個排序加上數據處理,OK!
數據處理的方法網上一般稱之為離散化,我對離散化的理解就是簡化問題,使一個連續(不可解)的問題變得離散(可解)。
本題考的就是數據,直接加和會爆炸。於是用123......n,表示這些數的價值就變得可解,這個過程算是離散化。
Ultra-QuickSort produces the output
Your task is to determine how many swap operations Ultra-QuickSort needs to perform in order to sort a given input sequence.
Input The input contains several test cases. Every test case begins with a line that contains a single integer n < 500,000 -- the length of the input sequence. Each of the the following n lines contains a single integer 0 ≤ a[i] ≤ 999,999,999, the i-th input sequence element. Input is terminated by a sequence of length n = 0. This sequence must not be processed.
Sample Input 5 9 1 0 5 4 3 1 2 3 0
Sample Output 6 0 很有意思的一道題,首先看圖片就像一個通馬桶的工具。 這裏只提及樹狀數組。 這道題考的考點
#include<iostream> #include<cstdio> #include<algorithm> #include<cstring> using namespace std; #define MAX 500050 typedef long long ll; int a[MAX]; int c[MAX]; struct node { int num; ll v; bool operator < (const node &b ) const //重載一下運算符,這裏的const可加可不加,對於不同編譯器是有區別的 { return v<b.v; } }b[MAX]; int lowbit(int i) { return i&(-i); } void add(int x,int v) { while(x<=MAX) { c[x]+=v; x+=lowbit(x); } } int sum(int x) { int res=0; while(x>0) { res+=c[x]; x-=lowbit(x); } return res; } int main() { int n; while(scanf("%d",&n),n) { for(int i=1;i<=n;i++) { scanf("%d",&b[i].v); b[i].num=i; } sort(b+1,b+n+1); //值排序 memset(a,0,sizeof(a)); a[b[1].num]=1; //對於最小值當然標最小啦 ll ans=0; for(int i=2;i<=n;i++) { if(b[i].v==b[i-1].v) a[b[i].num]=a[b[i-1].num]; else a[b[i].num]=i; // 記錄前面比他小的數。 } memset(c,0,sizeof(c)); for(int i=1;i<=n;i++) { add(a[i],1); ans+=sum(n)-sum(a[i]); } printf("%lld\n",ans); } }
POJ-2299 Ultra-QuickSort (樹狀數組,離散化,C++)