Soldier standing problem, soldier standing
Soldiers standing[Problem description]On a grid-based playground, n soldiers stood on the grid in disorder. The grid points are represented by integer coordinates (x, y. Soldiers can move one step along the edge, bottom, left, and right of the grid, but only one soldier can be on any grid point at the same time. According to the officer's command, the soldiers should be neatly arranged into a horizontal queue, that is, arranged into (x, y), (x + 1, y ),..., (X + n-1, y ). How can we select the values of x and y so that soldiers can rank in a column with the minimum number of moving steps.[Programming task]Calculates the minimum number of steps required to arrange all soldiers in a row.[Input format]Input data is provided by file sol. in. The first row of the file is the number of soldiers n, 1 ≤ n ≤ 1st. The next n rows are the initial positions of soldiers. Each row has two integers x and y,-10000 ≤ x, and y ≤ 10000.[Output format]When the program runs, the computing result is output to the file sol. out. The number of rows in the file is the minimum number of moving steps required by soldiers to form a row.[Input example]51 22 21 33-23 3
1 #include<iostream> 2 #include<algorithm> 3 #include<cmath> 4 using namespace std; 5 int tot; 6 int a[10001]; 7 int b[10001]; 8 int d; 9 int main()10 {11 int n;12 cin>>n;13 for(int i=1;i<=n;i++)14 {15 cin>>a[i];16 cin>>b[i];17 }18 sort(a+1,a+n+1);19 sort(b+1,b+n+1);20 for(int i=1;i<=n;i++)21 {22 a[i]=a[i]-i+1;23 }24 sort(a+1,a+n+1);25 int mid=b[n/2+1];26 int mida=a[n/2+1];27 for(int i=1;i<=n;i++)28 {29 tot=tot+abs(b[i]-mid);30 tot=tot+abs(a[i]-mida);31 }32 cout<<tot;33 return 0;34 }