Test Instructions:Bobo has a sequence a1,a 2,..., a n. He is allowed to swap,
adjacent numbers for no more than k times.
Find the minimum number of inversions after his swaps.
Note:the number of inversions is the number of pair (I,J) where 1≤i<j≤n and a i>a J.
Input
The input consists of several tests. For each tests:
The first line contains 2 integers n,k (1≤n≤10 5,0≤k≤10 9). The second line contains n integers a 1,a 2,..., a n (0≤a i≤10 9).
Output
For each tests:
A single integer denotes the minimum number of inversions.
Sample Input
3 12 2 13 02 2 1
Sample Output
12 Analysis: Merge sort + greedy Here's a k to note, that is, you can exchange the location of adjacent numbers, so that the number of reverse order is the smallest, then we must be the smallest number forward, so that we calculate the number of reverse order as long as the original number of reverse order and then subtract the number of times can be exchanged is good, Of course, if we figure out a negative number, let it be directly equal to zero! Code:
1#include <iostream>2 using namespacestd;3 Const intMAXN =100000+5;4 Const intQ =50000+5;5 intARR[MAXN];6 intLef[q], rig[q];7 Long Longans;8 intlef_size;9 intrig_size;Ten voidMerger (intArr[],intLintMintR) One{//Merge entire array A intI, J, K; -Lef_size = M-L; -Rig_size = R-M; the for(i = L; i < M; i++) - { -LEF[I-L] = Arr[i];//the array on the left - } + for(i = M; i < R; i++) - { +RIG[I-M] = Arr[i];//the array on the right A } ati =0; j =0; K =L; - while(I < Lef_size&&j <rig_size) - { - if(Lef[i] <= rig[j])//The left array is less than the right array - { -ARR[K] = Lef[i];//Put the number of the left array into the consolidated array ini++;//left array subscript gaga -k++;//Integrated Array subscript + + toAns + = j;//Reverse number Gaga (equivalent to looking for the number I inserted between I and the next I, as long as there is a number in the queue, it means + //The left (or the front) is greater than the number on the right (back), so adding J may be a bit difficult to understand, - //self-brain repair it! ) the } * Else $ {Panax NotoginsengARR[K] =Rig[j]; -J + +; thek++; + } A } the while(I <lef_size) +{//the number of left that has not been put out - $ARR[K] =Lef[i]; $i++; -k++; -Ans + =J; the - Wuyi } the while(J <rig_size) - { WuARR[K] =Rig[j]; -J + +; Aboutk++; $ - } - } - voidMergersort (intArr[],intLintR) A { + if(L +1<R)//Merge Sort the { - intM = (L + R)/2; $ Mergersort (arr, L, M); the Mergersort (arr, M, R); the merger (arr, L, M, R); the } the } - intMain () in { the intN; the Long LongK; About while(Cin >> N>>k) the { theAns =0; the for(intm =0; M < n; m++) +CIN >>Arr[m]; -Mergersort (arr,0, n); the if(Ans-k >0)Bayicout << ans-k <<Endl; the Else thecout <<"0"<<Endl; - } - return 0; the}
Merge sort find reverse order number