Ejemplo n.º 1
0
    private void VerifySmall(int empty, Func <int, int, int> append)
    {
        const int Min = -100;
        const int Max = 100;

        var random = new Random();

        for (var count = 1; count < 15; count++)
        {
            var array = Enumerable.Repeat(0, count).Select(_ => random.Next(Min, Max)).ToArray();
            var tree  = SegmentTree.Create(array, empty, append);

            tree.Count.Is(count);
            tree.IsSeq(array);

            Verify(array, tree);

            for (var s = 0; s < 20; s++)
            {
                var i    = random.Next(0, count);
                var item = random.Next(Min, Max);
                tree[i]  = item;
                array[i] = item;

                Verify(array, tree);
            }
        }
    }
Ejemplo n.º 2
0
    public void Run()
    {
        {
            n  = ReadLine(int.Parse)[0];
            ps = ReadLine(int.Parse);
        }

        qs = new List <int>(n);

        allCells = ps.Select((p, i) => new Cell(p, i)).ToArray();

        trees =
            Enumerable.Range(0, 2).Select(parity =>
                                          SegmentTree.Create(
                                              allCells.Select((c, i) => i % 2 == parity ? c : Cell.Max),
                                              Cell.Max,
                                              (l, r) => Comparer <int> .Default.Compare(l.Value, r.Value) > 0 ? r : l
                                              ))
            .ToArray();

        heap =
            BinaryHeap.Create <Range>(
                (l, r) => Comparer <int> .Default.Compare(l.EvenCell.Value, r.EvenCell.Value)
                );

        AddRange(0, allCells.Length);

        while (heap.Count > 0 && qs.Count < n)
        {
            var range = heap.Dequeue();

            var ec = range.EvenCell;
            var oc = trees[1 - range.Parity].Query(ec.Index, range.EndIndex - ec.Index);

            qs.Add(ec.Value);
            qs.Add(oc.Value);
            trees[ec.Index % 2][ec.Index] = Cell.Max;
            trees[oc.Index % 2][oc.Index] = Cell.Max;

            AddRange(range.Index, ec.Index);
            AddRange(ec.Index + 1, oc.Index);
            AddRange(oc.Index + 1, range.EndIndex);
        }

        WriteLineOne(string.Join(" ", qs));
    }
Ejemplo n.º 3
0
    public static void Solve()
    {
        var n = I;
        var m = I;
        var p = new long[m];
        var a = new double[m];
        var b = new double[m];

        Repeat(m, i =>
        {
            p[i] = L - 1;
            a[i] = D;
            b[i] = D;
        });

        if (m == 0)
        {
            Console.WriteLine(1.0);
            Console.WriteLine(1.0);
            return;
        }

        var comp = new CoordinateCompressor <long>(p);

        var st = SegmentTree.Create(m, Monoid.Create(
                                        Tuple.Create(1.0, 0.0),
                                        (x, y) => Tuple.Create(x.Item1 * y.Item1, x.Item2 * y.Item1 + y.Item2)));

        var min = 1.0;
        var max = 1.0;

        Repeat(m, i =>
        {
            var cp  = comp.Compress[p[i]];
            st[cp]  = Tuple.Create(a[i], b[i]);
            var crt = st[0, m - 1];
            var d   = crt.Item1 + crt.Item2;
            min     = Min(min, d);
            max     = Max(max, d);
        });

        Console.WriteLine(min);
        Console.WriteLine(max);
    }
Ejemplo n.º 4
0
    public void Test_large()
    {
        var array = new long[10000];

        for (var i = 0; i < array.Length; i++)
        {
            array[i] = i * i;
        }

        var tree = SegmentTree.Create(array, 0L, (x, y) => x + y);

        var l        = 2345;
        var r        = 8765;
        var expected = 220123632470L;

        tree.Query(l, r - l).Is(expected);

        tree[5555] = 1;
        expected  += 1 - 5555 * 5555;

        tree[r] = 0;

        tree.Query(l, r - l).Is(expected);
    }
Ejemplo n.º 5
0
    public void Run()
    {
#if MEASURE
        using (mr.Measure())
#endif
        {
            n  = ReadLineInt32()[0];
            ps = ReadLineInt32();
        }

        allCells = new Cell[ps.Length];
        for (var i = 0; i < ps.Length; i++)
        {
            allCells[i] = new Cell(ps[i], i);
        }

#if MEASURE
        using (mt1.Measure())
#endif
        {
            trees = new SegmentTree <Cell, CellMonoid> [2];
            for (var parity = 0; parity < 2; parity++)
            {
                var cells = new Cell[n];
                for (var i = 0; i < cells.Length; i++)
                {
                    cells[i] = i % 2 == parity ? allCells[i] : Cell.Max;
                }

                trees[parity] = SegmentTree.Create(cells, new CellMonoid());
            }
        }

#if MEASURE
        using (mh.Measure())
#endif
        {
            heap = new BinaryHeap <Range, RangeComparer>(new List <Range>(n), new RangeComparer());
        }

        AddRange(0, allCells.Length);

        var outputCount = 0;
        while (heap.Count > 0)
        {
            var range = default(Range);

#if MEASURE
            using (mh.Measure())
#endif
            {
                range = heap.Dequeue();
            }

            var ec = range.EvenCell;
            var oc = default(Cell);

#if MEASURE
            using (mt2.Measure())
#endif
            {
                oc = trees[1 - range.Parity].Query(ec.Index, range.EndIndex - ec.Index);
            }

#if MEASURE
            using (mr.Measure())
#endif
            {
                if (outputCount != 0)
                {
                    output.Write(' ');
                }

                output.Write(ec.Value);
                output.Write(' ');
                output.Write(oc.Value);

                outputCount += 2;
                if (outputCount >= n)
                {
                    output.WriteLine();
                    break;
                }
            }

#if MEASURE
            using (mt3.Measure())
#endif
            {
                trees[ec.Index % 2][ec.Index] = Cell.Max;
                trees[oc.Index % 2][oc.Index] = Cell.Max;
            }

            AddRange(range.Index, ec.Index);
            AddRange(ec.Index + 1, oc.Index);
            AddRange(oc.Index + 1, range.EndIndex);
        }

#if MEASUSRE
        var measures =
            new Dictionary <string, Measurement>()
        {
            { "I/O", mr },
            { "Heap", mh },
            { "Tree Init", mt1 },
            { "Tree Query", mt2 },
            { "Tree Set", mt3 },
        };

        var total = measures.Sum(m => m.Value.Total);
        var log   = Console.Error;
        log.WriteLine($"Total = {total}");
        foreach (var m in measures.OrderBy(m => m.Value.Total))
        {
            log.WriteLine($"{m.Key}: {(double)m.Value.Total / total * 100}%");
        }
#endif
    }
Ejemplo n.º 6
0
    public void Run()
    {
#if MEASURE
        using (mr.Measure())
#endif
        {
            n  = int.Parse(input.ReadLine());
            ps = ReadLineInt32(n);
        }

#if MEASURE
        using (mo.Measure())
#endif
        {
            indexFromValue = new int[ps.Length + 1];
            for (var i = 0; i < ps.Length; i++)
            {
                indexFromValue[ps[i]] = i;
            }

            rangeFromValue = new Range[ps.Length + 1];
        }

#if MEASURE
        using (mt1.Measure())
#endif
        {
            trees = new SegmentTree <int, Int32MinMonoid> [2];
            for (var parity = 0; parity < 2; parity++)
            {
                trees[parity] = SegmentTree.Create(ps, parity, new Int32MinMonoid());
            }
        }

#if MEASURE
        using (mh.Measure())
#endif
        {
            heap = new BinaryHeap <int, Int32Comparer>(new List <int>(n / 2), new Int32Comparer());
        }

        AddRange(0, ps.Length);

        var outputCount = 0;
        while (heap.Count > 0)
        {
            var ec = default(int);

#if MEASURE
            using (mh.Measure())
#endif
            {
                ec = heap.Dequeue();
            }

            var ei    = indexFromValue[ec];
            var range = rangeFromValue[ec];

            var oc = default(int);

#if MEASURE
            using (mt2.Measure())
#endif
            {
                oc = trees[1 - range.Parity].Query(ei, range.EndIndex - ei);
            }

            var oi = indexFromValue[oc];

#if MEASURE
            using (mr.Measure())
#endif
            {
                if (outputCount != 0)
                {
                    output.Write(' ');
                }

                output.Write(ec);
                output.Write(' ');
                output.Write(oc);

                outputCount += 2;
                if (outputCount >= n)
                {
                    output.WriteLine();
                    break;
                }
            }

#if MEASURE
            using (mt3.Measure())
#endif
            {
                trees[ei & 1][ei] = int.MaxValue;
                trees[oi & 1][oi] = int.MaxValue;
            }

            AddRange(range.Index, ei);
            AddRange(ei + 1, oi);
            AddRange(oi + 1, range.EndIndex);
        }

#if MEASURE
        var measures =
            new Dictionary <string, Measurement>()
        {
            { "Misc", mo },
            { "I/O", mr },
            { "Heap", mh },
            { "Tree Init", mt1 },
            { "Tree Query", mt2 },
            { "Tree Set", mt3 },
        };

        var total = measures.Sum(m => m.Value.Total);
        var log   = Console.Error;
        log.WriteLine($"Total = {total}");
        foreach (var m in measures.OrderBy(m => m.Value.Total))
        {
            log.WriteLine($"{m.Key}: {(double)m.Value.Total / total * 100}%");
        }
#endif
    }