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.
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.
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.
Sample Input
5 9 1 0 5 4 3 1 2 3 0
Sample Output
6 0
简单的树状数组应该 应该是最基本的应用求逆序对
注意离散化
1 #include <cstdio> 2 #include <cstring> 3 #include <queue> 4 #include <cmath> 5 #include <algorithm> 6 #include <set> 7 #include <iostream> 8 #include <map> 9 #include <stack> 10 #include <string> 11 #include <vector> 12 #define pi acos(-1.0) 13 #define eps 1e-6 14 #define fi first 15 #define se second 16 #define lson l,m,rt<<1 17 #define rson m+1,r,rt<<1|1 18 #define bug printf("****** ") 19 #define mem(a,b) memset(a,b,sizeof(a)) 20 #define fuck(x) cout<<"["<<x<<"]"<<endl 21 #define f(a) a*a 22 #define sf(n) scanf("%d", &n) 23 #define sff(a,b) scanf("%d %d", &a, &b) 24 #define sfff(a,b,c) scanf("%d %d %d", &a, &b, &c) 25 #define pf printf 26 #define FRE(i,a,b) for(i = a; i <= b; i++) 27 #define FREE(i,a,b) for(i = a; i >= b; i--) 28 #define FRL(i,a,b) for(i = a; i < b; i++) 29 #define FRLL(i,a,b) for(i = a; i > b; i--) 30 #define FIN freopen("DATA.txt","r",stdin) 31 #define lowbit(x) x&-x 32 #pragma comment (linker,"/STACK:102400000,102400000") 33 34 using namespace std; 35 typedef long long LL ; 36 const int maxn = 5e5 + 10; 37 int n, a[maxn], c[maxn], b[maxn], bit[maxn]; 38 void update(int x) { 39 while(x <= n) { 40 bit[x] += 1; 41 x += lowbit(x); 42 } 43 } 44 int sum(int i) { 45 int ret = 0; 46 while(i > 0) { 47 ret += bit[i]; 48 i -= lowbit(i); 49 } 50 return ret; 51 } 52 int main() { 53 while(scanf("%d", &n), n) { 54 for (int i = 1 ; i <= n ; i++) { 55 scanf("%d", &a[i]); 56 b[i] = a[i]; 57 } 58 sort(b + 1, b + 1 + n); 59 for (int i = 1 ; i <= n ; i++) 60 c[i] = lower_bound(b + 1, b + 1 + n, a[i]) - b; 61 mem(bit, 0); 62 LL ans=0; 63 for (int i=1 ;i<=n ;i++) { 64 update(c[i]); 65 ans+=i-sum(c[i]); 66 } 67 printf("%lld ",ans); 68 } 69 return 0; 70 }