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Submission #254781

# Submission time Handle Problem Language Result Execution time Memory
254781 2020-07-30T15:11:24 Z model_code Mixture (BOI20_mixture) Java 11
100 / 100
 1448 ms 55436 KB 
import java.io.*;
import java.util.*;

public class Mixture {
    public static void main(String[] args) throws IOException
    {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
        String str;
        String[] params;

        str = br.readLine();
        params = str.split(" ");
        long S = Integer.parseInt(params[0]);
        long P = Integer.parseInt(params[1]);
        long G = Integer.parseInt(params[2]);

        str = br.readLine();
        int N = Integer.parseInt(str);

        ArrayList<Vector> data = new ArrayList<>(N);
        TreeSet<Vector> set = new TreeSet<>();
        long amountOfDots = 0;
        long amountOfLines = 0;
        long amountOfEmptyPies = 1;

        for (int i = 0; i < N; i++) {
            str = br.readLine();
            params = str.split(" ");
            if (params[0].equals("A")) {
                long s = Integer.parseInt(params[1]);
                long p = Integer.parseInt(params[2]);
                long g = Integer.parseInt(params[3]);

                long x = s * (S + P + G) - S * (s + p + g);
                long y = p * (S + P + G) - P * (s + p + g);

                if ((x == 0) && (y == 0)) {
                    data.add(new Vector(0, 0));
                    amountOfDots++;
                } else {
                    long mult = s + p + g;
                    Vector cur = new Vector(mult * x, mult * y);
                    data.add(cur);

                    Vector existing = set.ceiling(cur);
                    if ((existing != null) && (existing.compareTo(cur) == 0)) {
                        existing.setCount(existing.getCount() + 1);
                    } else {
                        Vector same = set.ceiling(cur);
                        Vector opposite = set.ceiling(cur.negate());
                        if (((same == null) || (same.compareTo(cur) != 0))
                                && ((opposite != null) && (opposite.compareTo(cur.negate()) == 0))) {
                            amountOfLines++;
                        }

                        if (set.size() >= 2) {
                            Vector prev = Optional.ofNullable(set.lower(cur)).orElse(set.last());
                            Vector next = Optional.ofNullable(set.higher(cur)).orElse(set.first());

                            if ((crossProductResult(prev, next) > 0)
                                    && (crossProductResult(prev, cur) <= 0)
                                    && (crossProductResult(cur, next) <= 0)) {
                                amountOfEmptyPies = 0;
                            }
                        } else {
                            amountOfEmptyPies = 1;
                        }

                        set.add(cur);
                    }
                }
            } else {
                int ind = Integer.parseInt(params[1]);
                Vector cur = data.get(ind - 1);

                if ((cur.getPart() == -1)) {
                    amountOfDots--;
                } else {
                    Vector existing = set.ceiling(cur);
                    if (existing.getCount() > 1) {
                        existing.setCount(existing.getCount() - 1);
                    } else {
                        set.remove(cur);

                        Vector same = set.ceiling(cur);
                        Vector opposite = set.ceiling(cur.negate());
                        if (((same == null) || (same.compareTo(cur) != 0))
                                && ((opposite != null) && (opposite.compareTo(cur.negate()) == 0))) {
                            amountOfLines--;
                        }

                        if (set.size() >= 2) {
                            Vector prev = Optional.ofNullable(set.lower(cur)).orElse(set.last());
                            Vector next = Optional.ofNullable(set.higher(cur)).orElse(set.first());

                            if (crossProductResult(prev, next) > 0) {
                                amountOfEmptyPies = 1;
                            }
                        } else {
                            amountOfEmptyPies = 1;
                        }
                    }
                }
            }
            if (amountOfDots > 0) {
                bw.write("1\n");
            } else if (amountOfLines > 0) {
                bw.write("2\n");
            } else if (amountOfEmptyPies == 0) {
                bw.write("3\n");
            } else {
                bw.write("0\n");
            }
        }
        bw.close();
    }

    private static class Vector implements Comparable<Vector> {

        private final long x, y;

        // -1 = 0-vector
        // 0 = [0; pi)
        // 1 = [pi; 2pi)
        private final int part;
        private int count = 1;

        public Vector(long x, long y) {
            this.x = x;
            this.y = y;

            if (x == 0) {
                if (y > 0) {
                    this.part = 0;
                } else if (y < 0) {
                    this.part = 1;
                } else {
                    this.part = -1;
                }
            } else if (x > 0) {
                this.part = 0;
            } else {
                this.part = 1;
            }
        }

        public long getX() {
            return x;
        }

        public long getY() {
            return y;
        }

        public Integer getPart() {
            return part;
        }

        public Vector negate() {
            return new Vector(-x, -y);
        }

        public int getCount() {
            return count;
        }

        public void setCount(int count) {
            this.count = count;
        }

        @Override
        public int compareTo(Vector o) {
            int result = this.getPart().compareTo(o.getPart());
            if (result == 0) {
                result = crossProductResult(this, o);
            }
            return result;
        }
    }

    private static int crossProductResult(Vector a, Vector b) {
        /*
        return BigInteger.valueOf(a.getX()).multiply(BigInteger.valueOf(b.getY()))
                .compareTo(BigInteger.valueOf(a.getY()).multiply(BigInteger.valueOf(b.getX())));
         */
        long MOD = 1L << 31;

        long p0 = (b.y % MOD) * (a.x % MOD);
        long p1 = (b.y % MOD) * (a.x / MOD) + (a.x % MOD) * (b.y / MOD);
        long p2 = (a.x / MOD) * (b.y / MOD);
        long p3 = 0;
        p1 += p0 / MOD;
        p0 %= MOD;
        p2 += p1 / MOD;
        p1 %= MOD;
        p3 += p2 / MOD;
        p2 %= MOD;

        long q0 = (b.x % MOD) * (a.y % MOD);
        long q1 = (b.x % MOD) * (a.y / MOD) + (a.y % MOD) * (b.x / MOD);
        long q2 = (a.y / MOD) * (b.x / MOD);
        long q3 = 0;
        q1 += q0 / MOD;
        q0 %= MOD;
        q2 += q1 / MOD;
        q1 %= MOD;
        q3 += q2 / MOD;
        q2 %= MOD;

        if (p3 < q3) {
            return -1;
        } else if (p3 > q3) {
            return 1;
        } else {
            if (p2 < q2) {
                return -1;
            } else if (p2 > q2) {
                return 1;
            } else {
                if (p1 < q1) {
                    return -1;
                } else if (p1 > q1) {
                    return 1;
                } else {
                    if (p0 < q0) {
                        return -1;
                    } else if (p0 > q0) {
                        return 1;
                    } else {
                        return 0;
                    }
                }
            }
        }
    }

}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 10352 KB Output is correct
2 Correct 75 ms 10472 KB Output is correct
3 Correct 89 ms 10488 KB Output is correct
4 Correct 79 ms 10464 KB Output is correct
5 Correct 74 ms 10228 KB Output is correct
6 Correct 83 ms 10132 KB Output is correct
7 Correct 80 ms 10484 KB Output is correct
8 Correct 80 ms 10356 KB Output is correct
9 Correct 77 ms 10364 KB Output is correct
10 Correct 79 ms 10360 KB Output is correct
11 Correct 76 ms 10360 KB Output is correct
12 Correct 76 ms 10464 KB Output is correct
13 Correct 81 ms 10360 KB Output is correct
14 Correct 79 ms 10360 KB Output is correct
15 Correct 74 ms 10480 KB Output is correct
16 Correct 75 ms 10468 KB Output is correct
17 Correct 92 ms 10380 KB Output is correct
18 Correct 79 ms 10480 KB Output is correct
19 Correct 98 ms 10528 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 10352 KB Output is correct
2 Correct 75 ms 10472 KB Output is correct
3 Correct 89 ms 10488 KB Output is correct
4 Correct 79 ms 10464 KB Output is correct
5 Correct 74 ms 10228 KB Output is correct
6 Correct 83 ms 10132 KB Output is correct
7 Correct 80 ms 10484 KB Output is correct
8 Correct 80 ms 10356 KB Output is correct
9 Correct 77 ms 10364 KB Output is correct
10 Correct 79 ms 10360 KB Output is correct
11 Correct 76 ms 10360 KB Output is correct
12 Correct 76 ms 10464 KB Output is correct
13 Correct 81 ms 10360 KB Output is correct
14 Correct 79 ms 10360 KB Output is correct
15 Correct 74 ms 10480 KB Output is correct
16 Correct 75 ms 10468 KB Output is correct
17 Correct 92 ms 10380 KB Output is correct
18 Correct 79 ms 10480 KB Output is correct
19 Correct 98 ms 10528 KB Output is correct
20 Correct 89 ms 10728 KB Output is correct
21 Correct 93 ms 10620 KB Output is correct
22 Correct 95 ms 10992 KB Output is correct
23 Correct 121 ms 12904 KB Output is correct
24 Correct 89 ms 10852 KB Output is correct
25 Correct 98 ms 10996 KB Output is correct
26 Correct 94 ms 10876 KB Output is correct
27 Correct 101 ms 11240 KB Output is correct
28 Correct 96 ms 10872 KB Output is correct
29 Correct 98 ms 11148 KB Output is correct
30 Correct 102 ms 11568 KB Output is correct
31 Correct 87 ms 11112 KB Output is correct
32 Correct 117 ms 12524 KB Output is correct
33 Correct 92 ms 10984 KB Output is correct
34 Correct 115 ms 11856 KB Output is correct
35 Correct 110 ms 11892 KB Output is correct
36 Correct 104 ms 11624 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 10352 KB Output is correct
2 Correct 75 ms 10472 KB Output is correct
3 Correct 89 ms 10488 KB Output is correct
4 Correct 79 ms 10464 KB Output is correct
5 Correct 74 ms 10228 KB Output is correct
6 Correct 83 ms 10132 KB Output is correct
7 Correct 80 ms 10484 KB Output is correct
8 Correct 80 ms 10356 KB Output is correct
9 Correct 77 ms 10364 KB Output is correct
10 Correct 79 ms 10360 KB Output is correct
11 Correct 76 ms 10360 KB Output is correct
12 Correct 76 ms 10464 KB Output is correct
13 Correct 81 ms 10360 KB Output is correct
14 Correct 79 ms 10360 KB Output is correct
15 Correct 74 ms 10480 KB Output is correct
16 Correct 75 ms 10468 KB Output is correct
17 Correct 92 ms 10380 KB Output is correct
18 Correct 79 ms 10480 KB Output is correct
19 Correct 98 ms 10528 KB Output is correct
20 Correct 89 ms 10728 KB Output is correct
21 Correct 93 ms 10620 KB Output is correct
22 Correct 95 ms 10992 KB Output is correct
23 Correct 121 ms 12904 KB Output is correct
24 Correct 89 ms 10852 KB Output is correct
25 Correct 98 ms 10996 KB Output is correct
26 Correct 94 ms 10876 KB Output is correct
27 Correct 101 ms 11240 KB Output is correct
28 Correct 96 ms 10872 KB Output is correct
29 Correct 98 ms 11148 KB Output is correct
30 Correct 102 ms 11568 KB Output is correct
31 Correct 87 ms 11112 KB Output is correct
32 Correct 117 ms 12524 KB Output is correct
33 Correct 92 ms 10984 KB Output is correct
34 Correct 115 ms 11856 KB Output is correct
35 Correct 110 ms 11892 KB Output is correct
36 Correct 104 ms 11624 KB Output is correct
37 Correct 135 ms 12432 KB Output is correct
38 Correct 132 ms 12516 KB Output is correct
39 Correct 143 ms 12448 KB Output is correct
40 Correct 141 ms 12392 KB Output is correct
41 Correct 145 ms 12152 KB Output is correct
42 Correct 140 ms 12776 KB Output is correct
43 Correct 168 ms 12968 KB Output is correct
44 Correct 155 ms 12912 KB Output is correct
45 Correct 168 ms 12752 KB Output is correct
46 Correct 273 ms 16972 KB Output is correct
47 Correct 246 ms 15904 KB Output is correct
48 Correct 203 ms 15184 KB Output is correct
49 Correct 209 ms 14608 KB Output is correct
50 Correct 211 ms 15500 KB Output is correct
51 Correct 245 ms 16504 KB Output is correct
52 Correct 230 ms 17436 KB Output is correct
53 Correct 317 ms 17852 KB Output is correct
54 Correct 268 ms 18708 KB Output is correct
55 Correct 193 ms 15724 KB Output is correct
56 Correct 186 ms 15404 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 10352 KB Output is correct
2 Correct 75 ms 10472 KB Output is correct
3 Correct 89 ms 10488 KB Output is correct
4 Correct 79 ms 10464 KB Output is correct
5 Correct 74 ms 10228 KB Output is correct
6 Correct 83 ms 10132 KB Output is correct
7 Correct 80 ms 10484 KB Output is correct
8 Correct 80 ms 10356 KB Output is correct
9 Correct 77 ms 10364 KB Output is correct
10 Correct 79 ms 10360 KB Output is correct
11 Correct 76 ms 10360 KB Output is correct
12 Correct 76 ms 10464 KB Output is correct
13 Correct 81 ms 10360 KB Output is correct
14 Correct 79 ms 10360 KB Output is correct
15 Correct 74 ms 10480 KB Output is correct
16 Correct 75 ms 10468 KB Output is correct
17 Correct 92 ms 10380 KB Output is correct
18 Correct 79 ms 10480 KB Output is correct
19 Correct 98 ms 10528 KB Output is correct
20 Correct 89 ms 10728 KB Output is correct
21 Correct 93 ms 10620 KB Output is correct
22 Correct 95 ms 10992 KB Output is correct
23 Correct 121 ms 12904 KB Output is correct
24 Correct 89 ms 10852 KB Output is correct
25 Correct 98 ms 10996 KB Output is correct
26 Correct 94 ms 10876 KB Output is correct
27 Correct 101 ms 11240 KB Output is correct
28 Correct 96 ms 10872 KB Output is correct
29 Correct 98 ms 11148 KB Output is correct
30 Correct 102 ms 11568 KB Output is correct
31 Correct 87 ms 11112 KB Output is correct
32 Correct 117 ms 12524 KB Output is correct
33 Correct 92 ms 10984 KB Output is correct
34 Correct 115 ms 11856 KB Output is correct
35 Correct 110 ms 11892 KB Output is correct
36 Correct 104 ms 11624 KB Output is correct
37 Correct 135 ms 12432 KB Output is correct
38 Correct 132 ms 12516 KB Output is correct
39 Correct 143 ms 12448 KB Output is correct
40 Correct 141 ms 12392 KB Output is correct
41 Correct 145 ms 12152 KB Output is correct
42 Correct 140 ms 12776 KB Output is correct
43 Correct 168 ms 12968 KB Output is correct
44 Correct 155 ms 12912 KB Output is correct
45 Correct 168 ms 12752 KB Output is correct
46 Correct 273 ms 16972 KB Output is correct
47 Correct 246 ms 15904 KB Output is correct
48 Correct 203 ms 15184 KB Output is correct
49 Correct 209 ms 14608 KB Output is correct
50 Correct 211 ms 15500 KB Output is correct
51 Correct 245 ms 16504 KB Output is correct
52 Correct 230 ms 17436 KB Output is correct
53 Correct 317 ms 17852 KB Output is correct
54 Correct 268 ms 18708 KB Output is correct
55 Correct 193 ms 15724 KB Output is correct
56 Correct 186 ms 15404 KB Output is correct
57 Correct 257 ms 17572 KB Output is correct
58 Correct 406 ms 20196 KB Output is correct
59 Correct 408 ms 19840 KB Output is correct
60 Correct 357 ms 19616 KB Output is correct
61 Correct 465 ms 27280 KB Output is correct
62 Correct 333 ms 26008 KB Output is correct
63 Correct 1320 ms 55324 KB Output is correct
64 Correct 1238 ms 54792 KB Output is correct
65 Correct 1397 ms 54244 KB Output is correct
66 Correct 1386 ms 55412 KB Output is correct
67 Correct 82 ms 10392 KB Output is correct
68 Correct 83 ms 10248 KB Output is correct
69 Correct 1448 ms 55436 KB Output is correct
70 Correct 1370 ms 55436 KB Output is correct
71 Correct 1387 ms 55168 KB Output is correct
72 Correct 1122 ms 54776 KB Output is correct
73 Correct 1166 ms 54640 KB Output is correct