#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int MX = 2e5 + 100;
ll ans = 0;
int N, x[MX], y[MX], cnt[MX][5];
int absol(int a){
return a < 0 ? -a : a;
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> N;
for(int i = 0; i < 2 * N; i++) cin >> x[i] >> y[i];
// first compress the positions such that it will all lie on the N * 2 area
// 1 <= X <= N and 1 <= Y <= 2
for(int i = 0; i < 2 * N; i++){
if(x[i] < 1){
ans += 1 - x[i]; x[i] = 1;
}else if(x[i] > N){
ans += x[i] - N; x[i] = N;
}
if(y[i] < 1){
ans += 1 - y[i]; y[i] = 1;
}else if(y[i] > 2){
ans += y[i] - 2; y[i] = 2;
}
cnt[x[i]][y[i]]++;
}
// Now we can solve this problem as
// There are 2 * N coins located on the N * 2 area
int empty1 = 0, empty2 = 0;
// the number of empty cells on row 1 and the number of empty cells on row 2
// Let us solve for only N cells, ignoring the second row
/*
int cells = 0;
// cells are the number of cells that needs to be moved
// negative cells meaning from right to left
// positive cells meaning from left to right
for(int i = 1; i <= N; i++){
cells += cnt[i] - 1;
ans += abs(cells);
}
*/
// it is easy to solve only the first row
// now the only move we need to handle is moving up or down
// it is optimal to move up or down if first and second row are opposite to each other
// this is because when it is opposite to each other
// we add the ans by cells
// but then calculating moving left and right will be decreased by 2 * cells
for(int i = 1; i <= N; i++){
empty1 += cnt[i][1] - 1; empty2 += cnt[i][2] - 1;
if(empty1 < 0 && empty2 > 0){
int cells = min(absol(empty1), absol(empty2));
empty1 += cells;
empty2 -= cells;
ans += cells;
}else if(empty1 > 0 && empty2 < 0){
int cells = min(absol(empty1), absol(empty2));
empty1 -= cells;
empty2 += cells;
ans += cells;
}
ans += absol(empty1) + absol(empty2);
}
cout << ans << '\n';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
1 ms |
332 KB |
Output is correct |
| 5 |
Correct |
1 ms |
204 KB |
Output is correct |
| 6 |
Correct |
1 ms |
204 KB |
Output is correct |
| 7 |
Correct |
1 ms |
204 KB |
Output is correct |
| 8 |
Correct |
1 ms |
204 KB |
Output is correct |
| 9 |
Correct |
1 ms |
204 KB |
Output is correct |
| 10 |
Correct |
1 ms |
204 KB |
Output is correct |
| 11 |
Correct |
1 ms |
204 KB |
Output is correct |
| 12 |
Correct |
1 ms |
204 KB |
Output is correct |
| 13 |
Correct |
1 ms |
204 KB |
Output is correct |
| 14 |
Correct |
1 ms |
204 KB |
Output is correct |
| 15 |
Correct |
1 ms |
204 KB |
Output is correct |
| 16 |
Correct |
1 ms |
204 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
1 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
204 KB |
Output is correct |
| 20 |
Correct |
1 ms |
204 KB |
Output is correct |
| 21 |
Correct |
1 ms |
204 KB |
Output is correct |
| 22 |
Correct |
1 ms |
204 KB |
Output is correct |
| 23 |
Correct |
1 ms |
332 KB |
Output is correct |
| 24 |
Correct |
1 ms |
204 KB |
Output is correct |
| 25 |
Correct |
1 ms |
204 KB |
Output is correct |
| 26 |
Correct |
1 ms |
204 KB |
Output is correct |
| 27 |
Correct |
1 ms |
204 KB |
Output is correct |
| 28 |
Correct |
1 ms |
332 KB |
Output is correct |
| 29 |
Correct |
1 ms |
204 KB |
Output is correct |
| 30 |
Correct |
1 ms |
332 KB |
Output is correct |
| 31 |
Correct |
1 ms |
204 KB |
Output is correct |
| 32 |
Correct |
1 ms |
204 KB |
Output is correct |
| 33 |
Correct |
1 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
1 ms |
332 KB |
Output is correct |
| 5 |
Correct |
1 ms |
204 KB |
Output is correct |
| 6 |
Correct |
1 ms |
204 KB |
Output is correct |
| 7 |
Correct |
1 ms |
204 KB |
Output is correct |
| 8 |
Correct |
1 ms |
204 KB |
Output is correct |
| 9 |
Correct |
1 ms |
204 KB |
Output is correct |
| 10 |
Correct |
1 ms |
204 KB |
Output is correct |
| 11 |
Correct |
1 ms |
204 KB |
Output is correct |
| 12 |
Correct |
1 ms |
204 KB |
Output is correct |
| 13 |
Correct |
1 ms |
204 KB |
Output is correct |
| 14 |
Correct |
1 ms |
204 KB |
Output is correct |
| 15 |
Correct |
1 ms |
204 KB |
Output is correct |
| 16 |
Correct |
1 ms |
204 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
1 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
204 KB |
Output is correct |
| 20 |
Correct |
1 ms |
204 KB |
Output is correct |
| 21 |
Correct |
1 ms |
204 KB |
Output is correct |
| 22 |
Correct |
1 ms |
204 KB |
Output is correct |
| 23 |
Correct |
1 ms |
332 KB |
Output is correct |
| 24 |
Correct |
1 ms |
204 KB |
Output is correct |
| 25 |
Correct |
1 ms |
204 KB |
Output is correct |
| 26 |
Correct |
1 ms |
204 KB |
Output is correct |
| 27 |
Correct |
1 ms |
204 KB |
Output is correct |
| 28 |
Correct |
1 ms |
332 KB |
Output is correct |
| 29 |
Correct |
1 ms |
204 KB |
Output is correct |
| 30 |
Correct |
1 ms |
332 KB |
Output is correct |
| 31 |
Correct |
1 ms |
204 KB |
Output is correct |
| 32 |
Correct |
1 ms |
204 KB |
Output is correct |
| 33 |
Correct |
1 ms |
204 KB |
Output is correct |
| 34 |
Correct |
1 ms |
332 KB |
Output is correct |
| 35 |
Correct |
1 ms |
332 KB |
Output is correct |
| 36 |
Correct |
1 ms |
332 KB |
Output is correct |
| 37 |
Correct |
1 ms |
332 KB |
Output is correct |
| 38 |
Correct |
1 ms |
332 KB |
Output is correct |
| 39 |
Correct |
1 ms |
332 KB |
Output is correct |
| 40 |
Correct |
1 ms |
344 KB |
Output is correct |
| 41 |
Correct |
1 ms |
332 KB |
Output is correct |
| 42 |
Correct |
1 ms |
332 KB |
Output is correct |
| 43 |
Correct |
1 ms |
332 KB |
Output is correct |
| 44 |
Correct |
1 ms |
332 KB |
Output is correct |
| 45 |
Correct |
1 ms |
332 KB |
Output is correct |
| 46 |
Correct |
1 ms |
332 KB |
Output is correct |
| 47 |
Correct |
1 ms |
332 KB |
Output is correct |
| 48 |
Correct |
1 ms |
332 KB |
Output is correct |
| 49 |
Correct |
1 ms |
332 KB |
Output is correct |
| 50 |
Correct |
1 ms |
332 KB |
Output is correct |
| 51 |
Correct |
1 ms |
332 KB |
Output is correct |
| 52 |
Correct |
1 ms |
332 KB |
Output is correct |
| 53 |
Correct |
1 ms |
332 KB |
Output is correct |
| 54 |
Correct |
1 ms |
332 KB |
Output is correct |
| 55 |
Correct |
1 ms |
332 KB |
Output is correct |
| 56 |
Correct |
1 ms |
332 KB |
Output is correct |
| 57 |
Correct |
1 ms |
332 KB |
Output is correct |
| 58 |
Correct |
1 ms |
332 KB |
Output is correct |
| 59 |
Correct |
1 ms |
332 KB |
Output is correct |
| 60 |
Correct |
1 ms |
332 KB |
Output is correct |
| 61 |
Correct |
1 ms |
332 KB |
Output is correct |
| 62 |
Correct |
1 ms |
332 KB |
Output is correct |
| 63 |
Correct |
1 ms |
332 KB |
Output is correct |
| 64 |
Correct |
1 ms |
332 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
1 ms |
332 KB |
Output is correct |
| 5 |
Correct |
1 ms |
204 KB |
Output is correct |
| 6 |
Correct |
1 ms |
204 KB |
Output is correct |
| 7 |
Correct |
1 ms |
204 KB |
Output is correct |
| 8 |
Correct |
1 ms |
204 KB |
Output is correct |
| 9 |
Correct |
1 ms |
204 KB |
Output is correct |
| 10 |
Correct |
1 ms |
204 KB |
Output is correct |
| 11 |
Correct |
1 ms |
204 KB |
Output is correct |
| 12 |
Correct |
1 ms |
204 KB |
Output is correct |
| 13 |
Correct |
1 ms |
204 KB |
Output is correct |
| 14 |
Correct |
1 ms |
204 KB |
Output is correct |
| 15 |
Correct |
1 ms |
204 KB |
Output is correct |
| 16 |
Correct |
1 ms |
204 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
1 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
204 KB |
Output is correct |
| 20 |
Correct |
1 ms |
204 KB |
Output is correct |
| 21 |
Correct |
1 ms |
204 KB |
Output is correct |
| 22 |
Correct |
1 ms |
204 KB |
Output is correct |
| 23 |
Correct |
1 ms |
332 KB |
Output is correct |
| 24 |
Correct |
1 ms |
204 KB |
Output is correct |
| 25 |
Correct |
1 ms |
204 KB |
Output is correct |
| 26 |
Correct |
1 ms |
204 KB |
Output is correct |
| 27 |
Correct |
1 ms |
204 KB |
Output is correct |
| 28 |
Correct |
1 ms |
332 KB |
Output is correct |
| 29 |
Correct |
1 ms |
204 KB |
Output is correct |
| 30 |
Correct |
1 ms |
332 KB |
Output is correct |
| 31 |
Correct |
1 ms |
204 KB |
Output is correct |
| 32 |
Correct |
1 ms |
204 KB |
Output is correct |
| 33 |
Correct |
1 ms |
204 KB |
Output is correct |
| 34 |
Correct |
1 ms |
332 KB |
Output is correct |
| 35 |
Correct |
1 ms |
332 KB |
Output is correct |
| 36 |
Correct |
1 ms |
332 KB |
Output is correct |
| 37 |
Correct |
1 ms |
332 KB |
Output is correct |
| 38 |
Correct |
1 ms |
332 KB |
Output is correct |
| 39 |
Correct |
1 ms |
332 KB |
Output is correct |
| 40 |
Correct |
1 ms |
344 KB |
Output is correct |
| 41 |
Correct |
1 ms |
332 KB |
Output is correct |
| 42 |
Correct |
1 ms |
332 KB |
Output is correct |
| 43 |
Correct |
1 ms |
332 KB |
Output is correct |
| 44 |
Correct |
1 ms |
332 KB |
Output is correct |
| 45 |
Correct |
1 ms |
332 KB |
Output is correct |
| 46 |
Correct |
1 ms |
332 KB |
Output is correct |
| 47 |
Correct |
1 ms |
332 KB |
Output is correct |
| 48 |
Correct |
1 ms |
332 KB |
Output is correct |
| 49 |
Correct |
1 ms |
332 KB |
Output is correct |
| 50 |
Correct |
1 ms |
332 KB |
Output is correct |
| 51 |
Correct |
1 ms |
332 KB |
Output is correct |
| 52 |
Correct |
1 ms |
332 KB |
Output is correct |
| 53 |
Correct |
1 ms |
332 KB |
Output is correct |
| 54 |
Correct |
1 ms |
332 KB |
Output is correct |
| 55 |
Correct |
1 ms |
332 KB |
Output is correct |
| 56 |
Correct |
1 ms |
332 KB |
Output is correct |
| 57 |
Correct |
1 ms |
332 KB |
Output is correct |
| 58 |
Correct |
1 ms |
332 KB |
Output is correct |
| 59 |
Correct |
1 ms |
332 KB |
Output is correct |
| 60 |
Correct |
1 ms |
332 KB |
Output is correct |
| 61 |
Correct |
1 ms |
332 KB |
Output is correct |
| 62 |
Correct |
1 ms |
332 KB |
Output is correct |
| 63 |
Correct |
1 ms |
332 KB |
Output is correct |
| 64 |
Correct |
1 ms |
332 KB |
Output is correct |
| 65 |
Correct |
37 ms |
3776 KB |
Output is correct |
| 66 |
Correct |
72 ms |
1800 KB |
Output is correct |
| 67 |
Correct |
53 ms |
3780 KB |
Output is correct |
| 68 |
Correct |
52 ms |
3728 KB |
Output is correct |
| 69 |
Correct |
55 ms |
3780 KB |
Output is correct |
| 70 |
Correct |
55 ms |
3724 KB |
Output is correct |
| 71 |
Correct |
57 ms |
3780 KB |
Output is correct |
| 72 |
Correct |
51 ms |
1856 KB |
Output is correct |
| 73 |
Correct |
53 ms |
1756 KB |
Output is correct |
| 74 |
Correct |
51 ms |
1836 KB |
Output is correct |
| 75 |
Correct |
51 ms |
1876 KB |
Output is correct |
| 76 |
Correct |
50 ms |
1832 KB |
Output is correct |
| 77 |
Correct |
55 ms |
1768 KB |
Output is correct |
| 78 |
Correct |
50 ms |
1852 KB |
Output is correct |
| 79 |
Correct |
52 ms |
1864 KB |
Output is correct |
| 80 |
Correct |
51 ms |
1828 KB |
Output is correct |
| 81 |
Correct |
50 ms |
1832 KB |
Output is correct |
| 82 |
Correct |
60 ms |
1912 KB |
Output is correct |
| 83 |
Correct |
59 ms |
1988 KB |
Output is correct |
| 84 |
Correct |
52 ms |
2228 KB |
Output is correct |
| 85 |
Correct |
52 ms |
2120 KB |
Output is correct |
| 86 |
Correct |
50 ms |
3472 KB |
Output is correct |
| 87 |
Correct |
53 ms |
3528 KB |
Output is correct |
| 88 |
Correct |
53 ms |
3736 KB |
Output is correct |
| 89 |
Correct |
52 ms |
3796 KB |
Output is correct |
| 90 |
Correct |
55 ms |
3828 KB |
Output is correct |
| 91 |
Correct |
51 ms |
3780 KB |
Output is correct |
| 92 |
Correct |
49 ms |
3748 KB |
Output is correct |
| 93 |
Correct |
51 ms |
3808 KB |
Output is correct |
| 94 |
Correct |
53 ms |
3744 KB |
Output is correct |
| 95 |
Correct |
51 ms |
3780 KB |
Output is correct |
| 96 |
Correct |
50 ms |
3224 KB |
Output is correct |
| 97 |
Correct |
51 ms |
3156 KB |
Output is correct |
| 98 |
Correct |
63 ms |
3012 KB |
Output is correct |
| 99 |
Correct |
56 ms |
2756 KB |
Output is correct |
| 100 |
Correct |
54 ms |
2732 KB |
Output is correct |
| 101 |
Correct |
51 ms |
2972 KB |
Output is correct |
| 102 |
Correct |
50 ms |
2836 KB |
Output is correct |
| 103 |
Correct |
52 ms |
2628 KB |
Output is correct |
