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| 1 | +import java.util.ArrayList; |
1 | 2 | import java.util.Scanner;
|
2 | 3 |
|
3 |
| -public class Main2 { |
| 4 | +public class Main3 { |
| 5 | + private static int T, N; |
| 6 | + private static int[] weigh; |
| 7 | + private static X[][] memo; |
4 | 8 |
|
5 | 9 | public static void main(String[] args) {
|
6 | 10 | Scanner scanner = new Scanner(System.in);
|
7 |
| - int T = scanner.nextInt(); |
8 |
| - int N = scanner.nextInt(); |
9 |
| - int arr[] = new int[N]; |
10 |
| - int memo[][] = new int[N + 1][T + 1]; |
| 11 | + T = scanner.nextInt(); |
| 12 | + N = scanner.nextInt(); |
| 13 | + weigh = new int[N + 1]; |
| 14 | + memo = new X[N + 1][T + 1]; |
11 | 15 | for (int i = 0; i < N; i++) {
|
12 |
| - arr[i] = scanner.nextInt(); |
13 |
| - } |
14 |
| - // We solve it like a knapsack problem, but assume any empty space is negative and |
15 |
| - // we're gonna fill it as much as possible,thus in best position, |
16 |
| - // memo[N][T] will be zero,weight of any item is length of rest |
17 |
| - // value of any item is again length,so any item val/weight = 1 and we're only want to fill it |
18 |
| - for (int i = 0; i <= T; i++) { |
19 |
| - memo[0][i] = -i; |
20 |
| - } |
21 |
| - int mark[][] = new int[N + 1][T + 1]; |
22 |
| - for (int i = 1; i <= N; i++) { |
23 |
| - for (int j = 0; j <= T; j++) { |
24 |
| - if (arr[i - 1] <= j && memo[i - 1][j] - 1 < memo[i][j - arr[i - 1]]) { |
25 |
| - memo[i][j] = memo[i - 1][j - arr[i - 1]]; |
26 |
| - mark[i][j] = 1; |
27 |
| -// System.out.println(i + ",J:" + j); |
28 |
| - }else{ |
29 |
| - memo[i][j] = memo[i - 1][j] - 1; |
30 |
| - } |
31 |
| - } |
32 |
| - } |
33 |
| - int j = T; |
34 |
| - int belong[] = new int[N + 1]; |
35 |
| - /*Problem has two lines of rest |
36 |
| - we have to calculate which one of musicians can rest in the first line, |
37 |
| - rest belong to second line: |
38 |
| - */ |
39 |
| - for (int i = N; j > 0 && i > 0 ; i--) { |
40 |
| - if (mark[i][j] == 1){ |
41 |
| - j -= arr[i - 1]; |
42 |
| - belong[i - 1] = 1; |
43 |
| - } |
| 16 | + weigh[i] = scanner.nextInt(); |
44 | 17 | }
|
45 |
| - //We're sure any musician that doesn't belong to first line belong to second: |
46 |
| - int one = 0 , two = 0; |
| 18 | + X res = func(0, T, new ArrayList<>()); |
| 19 | +// System.out.println(res.arrayList); |
| 20 | + int one = 0, two = 0; |
47 | 21 | for (int i = 0; i < N; i++) {
|
48 |
| - if (belong[i] == 1){ |
| 22 | + if (res.arrayList != null && res.arrayList.contains(i)) { |
49 | 23 | System.out.print(one + " ");
|
50 |
| - one += arr[i]; |
51 |
| - }else{ |
| 24 | + one += weigh[i]; |
| 25 | + } else { |
52 | 26 | System.out.print(two + " ");
|
53 |
| - two += arr[i]; |
| 27 | + two += weigh[i]; |
54 | 28 | }
|
55 | 29 | }
|
| 30 | + } |
56 | 31 |
|
| 32 | + private static X func(int id, int rem, ArrayList<Integer> arrayList) { |
| 33 | + if (rem < 0) { |
| 34 | + return new X(arrayList, Integer.MIN_VALUE); |
| 35 | + } |
| 36 | + if (id == N) { |
| 37 | + return new X(arrayList, -rem); |
| 38 | + } |
| 39 | + if (weigh[id] > rem) { |
| 40 | + return func(id + 1, rem, arrayList); |
| 41 | + } |
| 42 | + if (memo[id][rem] != null) { |
| 43 | + return memo[id][rem]; |
| 44 | + } |
| 45 | + ArrayList<Integer> arrayList1 = new ArrayList<>(); |
| 46 | + arrayList1.add(id); |
| 47 | + arrayList1.addAll(arrayList); |
| 48 | + X x1 = func(id + 1, rem - weigh[id], arrayList1); |
| 49 | + X x2 = func(id + 1, rem, arrayList); |
| 50 | + if (x1.res >= x2.res) { |
| 51 | + memo[id][rem] = x1; |
| 52 | + } else { |
| 53 | + memo[id][rem] = x2; |
| 54 | + } |
| 55 | + return memo[id][rem]; |
| 56 | + } |
| 57 | + |
| 58 | + private static class X { |
| 59 | + ArrayList<Integer> arrayList = new ArrayList<>(); |
| 60 | + int res = 0; |
| 61 | + |
| 62 | + X(ArrayList<Integer> arrayList, int res) { |
| 63 | + this.arrayList = arrayList; |
| 64 | + this.res = res; |
| 65 | + } |
| 66 | + |
| 67 | + @Override |
| 68 | + public String toString() { |
| 69 | + return "X{" + |
| 70 | + "arrayList=" + arrayList + |
| 71 | + ", res=" + res + |
| 72 | + '}'; |
| 73 | + } |
57 | 74 | }
|
58 | 75 | }
|
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