HDU Cow Sorting (樹狀數組)
題目鏈接:http://acm.hdu.edu.cn/showproblem.php?pid=2838
Cow Sorting
Problem Description
Sherlock's N (1 ≤ N ≤ 100,000) cows are lined up to be milked in the evening. Each cow has a unique "grumpiness" level in the range 1...100,000. Since grumpy cows are more likely to damage Sherlock's milking equipment, Sherlock would like to reorder the cows in line so they are lined up in increasing order of grumpiness. During this process, the places of any two cows (necessarily adjacent) can be interchanged. Since grumpy cows are harder to move, it takes Sherlock a total of X + Y units of time to exchange two cows whose grumpiness levels are X and Y.
Please help Sherlock calculate the minimal time required to reorder the cows.
Input
Line 1: A single integer: N
Lines 2..N + 1: Each line contains a single integer: line i + 1 describes the grumpiness of cow i.
Output
Line 1: A single line with the minimal time required to reorder the cows in increasing order of grumpiness.
Sample Input
3
2
3
1
Sample Output
7
Hint
Input Details
Three cows are standing in line with respective grumpiness levels 2, 3, and 1.
Output Details
2 3 1 : Initial order.
2 1 3 : After interchanging cows with grumpiness 3 and 1 (time=1+3=4).
1 2 3 : After interchanging cows with grumpiness 1 and 2 (time=2+1=3).
1 #include<stdio.h> 2 #include<string.h> 3 #define ll __int64 4 ll c[100000+5],v[100000+5]; 5 int n; 6 int Lowbit(int k) 7 { 8 return (k&-k); 9 } 10 void update(int pos,int num,int val) 11 { 12 while(pos<=n) 13 { 14 c[pos]+=num; 15 v[pos]+=val; 16 pos+=Lowbit(pos); 17 } 18 } 19 ll sum_count(int pos) 20 { 21 ll s=0; 22 23 while(pos>0) 24 { 25 s+=c[pos]; 26 pos-=Lowbit(pos); 27 } 28 return s; 29 } 30 ll sum(int pos) 31 { 32 ll s=0; 33 34 while(pos>0) 35 { 36 s+=v[pos]; 37 pos-=Lowbit(pos); 38 } 39 return s; 40 } 41 int main() 42 { 43 int i,x; 44 while(scanf("%d",&n)!=-1) 45 { 46 memset(c,0,sizeof(c)); 47 memset(v,0,sizeof(v)); 48 ll ans=0,k2,k1; 49 for(i=1;i<=n;i++) 50 { 51 scanf("%d",&x); 52 update(x,1,x); 53 k1=i-sum_count(x);///到此為止 比x大的個數; 54 /*sum_count[x] 為輸入i個數的時候 x之前有sum_count[x]個比x小的數 用i相減則為大于x的個數*/ 55 if(k1!=0) 56 { 57 k2=sum(n)-sum(x);///到此為止 比x大的數的和; 58 ans+=x*k1+k2;///到此為止 比x大的數與x交換之后的和; 59 } 60 } 61 printf("%I64d\n",ans); 62 } 63 return 0; 64 }
/*坑爹的題 必須用 __int64 不能用long long 不能用int ╮(╯▽╰)╭*/

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