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Submission #860469

# Submission time Handle Problem Language Result Execution time Memory
860469 2023-10-13T03:39:49 Z Oz121 Palembang Bridges (APIO15_bridge) Java 11
100 / 100
 1348 ms 61052 KB 
import java.io.*;
import java.util.*;
public class bridge {
    public static PriorityQueue<Long> left; public static PriorityQueue<Long> right;
    public static long lSum; public static long rSum; //We have distance = \sum_{i} |S_i - bridge| + |T_i-bridge|
    //If we pick the median as the bridge (which is optimal), then there are an equal amount of S_i or T_i > bridge as < bridge
    //(if odd, the bridge = median, so difference = 0). Thus, the -x and +x all cancel, leaving distance = rSum - lSum.
    public static void main(String[] args) throws IOException {
        BufferedReader scan = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer l1 = new StringTokenizer(scan.readLine());
        int k = Integer.parseInt(l1.nextToken()); int tot = Integer.parseInt(l1.nextToken()); int num = 0; ArrayList<Integer> idxs = new ArrayList<>();

        long[][] arrTemp = new long[tot][4]; long constant = 0; //Distance for same shore house-work pairs.
        for (int i = 0;i<tot;i++) {
            StringTokenizer st = new StringTokenizer(scan.readLine());
            arrTemp[i][0] = st.nextToken().charAt(0)-'A'; arrTemp[i][1] = Long.parseLong(st.nextToken()); arrTemp[i][2] = st.nextToken().charAt(0)-'A'; arrTemp[i][3] = Long.parseLong(st.nextToken());

            if (arrTemp[i][0]==arrTemp[i][2]) {
                constant += Math.abs(arrTemp[i][1]-arrTemp[i][3]);
            } else {
                num++; idxs.add(i);
            }
        }

        long[][] arr = new long[num][2]; //Filtered to only the house-work pairs that are not on the same bank.
        int idx = 0;
        for (int i : idxs) {
            arr[idx][0] = arrTemp[i][1]; arr[idx][1] = arrTemp[i][3]; idx++;
        }
        Arrays.sort(arr,(i,j)-> (int) ((i[0]+i[1])-(j[0]+j[1])));

        /*for (int i = 0;i<num;i++) {
            System.out.println(arr[i][0]+" "+arr[i][1]);
        }*/

        clean(); long ans;
        long[] prefix = new long[num+1]; //Prefix of all the answers if we have cows 0 to i

        for (int i = 0;i<num;i++) {
            insert(arr[i][0]); insert(arr[i][1]);
            //System.out.println(left+" "+right);
            prefix[i+1] = rSum - lSum;
        }
        ans = prefix[num];

        if (k==2) { //Iterate through all possible partitioning spots.
            clean();

            for (int i = num; i>0; i--) {
                insert(arr[i-1][0]); insert(arr[i-1][1]);
                ans = Math.min(ans, rSum - lSum + prefix[i - 1]);
            }
        }

        System.out.println(ans+constant+num);
    }

    public static void insert (long x) {
        long median = (left.size()>0 ? left.peek() : 1000000001);

        if (x<=median) { //Insert to left
            left.add(x); lSum += x;
        } else { //Insert to right
            right.add(x); rSum += x;
        }

        //Check sizes. We want left.size = right.size + (0 or 1)
        if (right.size()+1<left.size()) { //Add to right
            long temp = left.peek();
            left.poll(); right.add(temp);
            lSum -= temp; rSum += temp;
        } else if (left.size()<right.size()) { //Add to left
            long temp = right.peek();
            right.poll(); left.add(temp);
            rSum -= temp; lSum += temp;
        }
    }

    public static void clean () {
        left = new PriorityQueue<>((a,b)-> (int) (b-a)); right = new PriorityQueue<>((a,b)-> (int) (a-b));
        lSum = 0; rSum = 0;
    }
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 26992 KB Output is correct
2 Correct 58 ms 24952 KB Output is correct
3 Correct 100 ms 22572 KB Output is correct
4 Correct 141 ms 25796 KB Output is correct
5 Correct 137 ms 25984 KB Output is correct
6 Correct 146 ms 29152 KB Output is correct
7 Correct 136 ms 25920 KB Output is correct
8 Correct 158 ms 29524 KB Output is correct
9 Correct 142 ms 25724 KB Output is correct
10 Correct 132 ms 25752 KB Output is correct
11 Correct 137 ms 25976 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 24352 KB Output is correct
2 Correct 55 ms 24808 KB Output is correct
3 Correct 88 ms 26564 KB Output is correct
4 Correct 139 ms 25812 KB Output is correct
5 Correct 139 ms 25804 KB Output is correct
6 Correct 146 ms 25480 KB Output is correct
7 Correct 139 ms 25540 KB Output is correct
8 Correct 171 ms 25536 KB Output is correct
9 Correct 138 ms 25968 KB Output is correct
10 Correct 131 ms 31668 KB Output is correct
11 Correct 141 ms 29604 KB Output is correct
12 Correct 463 ms 43760 KB Output is correct
13 Correct 846 ms 52840 KB Output is correct
14 Correct 836 ms 55548 KB Output is correct
15 Correct 730 ms 42144 KB Output is correct
16 Correct 352 ms 50532 KB Output is correct
17 Correct 358 ms 51008 KB Output is correct
18 Correct 372 ms 50812 KB Output is correct
19 Correct 867 ms 52304 KB Output is correct
20 Correct 545 ms 57924 KB Output is correct
21 Correct 440 ms 50844 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 22968 KB Output is correct
2 Correct 55 ms 24432 KB Output is correct
3 Correct 61 ms 23080 KB Output is correct
4 Correct 63 ms 22924 KB Output is correct
5 Correct 59 ms 22636 KB Output is correct
6 Correct 67 ms 22220 KB Output is correct
7 Correct 65 ms 22504 KB Output is correct
8 Correct 64 ms 22808 KB Output is correct
9 Correct 65 ms 29204 KB Output is correct
10 Correct 62 ms 23132 KB Output is correct
11 Correct 65 ms 22720 KB Output is correct
12 Correct 62 ms 22712 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 61 ms 22692 KB Output is correct
2 Correct 55 ms 22748 KB Output is correct
3 Correct 59 ms 22876 KB Output is correct
4 Correct 63 ms 22836 KB Output is correct
5 Correct 61 ms 22536 KB Output is correct
6 Correct 60 ms 23160 KB Output is correct
7 Correct 67 ms 27024 KB Output is correct
8 Correct 65 ms 22416 KB Output is correct
9 Correct 71 ms 22700 KB Output is correct
10 Correct 62 ms 23328 KB Output is correct
11 Correct 61 ms 24600 KB Output is correct
12 Correct 64 ms 22424 KB Output is correct
13 Correct 89 ms 22836 KB Output is correct
14 Correct 123 ms 26548 KB Output is correct
15 Correct 168 ms 26000 KB Output is correct
16 Correct 74 ms 22448 KB Output is correct
17 Correct 84 ms 22676 KB Output is correct
18 Correct 77 ms 29016 KB Output is correct
19 Correct 143 ms 25832 KB Output is correct
20 Correct 150 ms 26036 KB Output is correct
21 Correct 165 ms 27516 KB Output is correct
22 Correct 152 ms 25752 KB Output is correct
23 Correct 152 ms 25336 KB Output is correct
24 Correct 150 ms 26076 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 23168 KB Output is correct
2 Correct 55 ms 22356 KB Output is correct
3 Correct 62 ms 22764 KB Output is correct
4 Correct 63 ms 23296 KB Output is correct
5 Correct 59 ms 25296 KB Output is correct
6 Correct 57 ms 22968 KB Output is correct
7 Correct 61 ms 22916 KB Output is correct
8 Correct 63 ms 24756 KB Output is correct
9 Correct 66 ms 29048 KB Output is correct
10 Correct 68 ms 29176 KB Output is correct
11 Correct 61 ms 22756 KB Output is correct
12 Correct 60 ms 23328 KB Output is correct
13 Correct 91 ms 23056 KB Output is correct
14 Correct 126 ms 28628 KB Output is correct
15 Correct 165 ms 25896 KB Output is correct
16 Correct 69 ms 24252 KB Output is correct
17 Correct 81 ms 22192 KB Output is correct
18 Correct 78 ms 28932 KB Output is correct
19 Correct 137 ms 25580 KB Output is correct
20 Correct 147 ms 25632 KB Output is correct
21 Correct 164 ms 25668 KB Output is correct
22 Correct 150 ms 27652 KB Output is correct
23 Correct 146 ms 29804 KB Output is correct
24 Correct 165 ms 25712 KB Output is correct
25 Correct 568 ms 49724 KB Output is correct
26 Correct 1348 ms 46696 KB Output is correct
27 Correct 913 ms 56928 KB Output is correct
28 Correct 997 ms 61052 KB Output is correct
29 Correct 1095 ms 59036 KB Output is correct
30 Correct 875 ms 47616 KB Output is correct
31 Correct 360 ms 56964 KB Output is correct
32 Correct 441 ms 58372 KB Output is correct
33 Correct 442 ms 54188 KB Output is correct
34 Correct 944 ms 55968 KB Output is correct
35 Correct 583 ms 58496 KB Output is correct
36 Correct 527 ms 56776 KB Output is correct
37 Correct 367 ms 51052 KB Output is correct