結果

問題 No.1054 Union add query
ユーザー ccppjsrbccppjsrb
提出日時 2020-09-25 10:52:19
言語 Go
(1.22.1)
結果
AC  
実行時間 309 ms / 2,000 ms
コード長 3,296 bytes
コンパイル時間 12,664 ms
コンパイル使用メモリ 216,308 KB
実行使用メモリ 37,272 KB
最終ジャッジ日時 2023-09-10 14:28:47
合計ジャッジ時間 13,783 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge12
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,356 KB
testcase_01 AC 2 ms
4,380 KB
testcase_02 AC 1 ms
4,384 KB
testcase_03 AC 176 ms
16,440 KB
testcase_04 AC 309 ms
37,272 KB
testcase_05 AC 144 ms
12,112 KB
testcase_06 AC 151 ms
22,600 KB
testcase_07 AC 129 ms
22,600 KB
testcase_08 AC 139 ms
22,596 KB
testcase_09 AC 195 ms
29,512 KB
testcase_10 AC 97 ms
25,588 KB
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ソースコード

diff # 

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func configure(scanner *bufio.Scanner) {
	scanner.Split(bufio.ScanWords)
	scanner.Buffer(make([]byte, 1000005), 1000005)
}
func getNextString(scanner *bufio.Scanner) string {
	scanned := scanner.Scan()
	if !scanned {
		panic("scan failed")
	}
	return scanner.Text()
}
func getNextInt(scanner *bufio.Scanner) int {
	i, _ := strconv.Atoi(getNextString(scanner))
	return i
}
func getNextInt64(scanner *bufio.Scanner) int64 {
	i, _ := strconv.ParseInt(getNextString(scanner), 10, 64)
	return i
}
func getNextFloat64(scanner *bufio.Scanner) float64 {
	i, _ := strconv.ParseFloat(getNextString(scanner), 64)
	return i
}
func main() {
	fp := os.Stdin
	wfp := os.Stdout
	extra := 0
	if os.Getenv("I") == "IronMan" {
		fp, _ = os.Open(os.Getenv("END_GAME"))
		extra = 100
	}
	scanner := bufio.NewScanner(fp)
	configure(scanner)
	writer := bufio.NewWriter(wfp)
	defer func() {
		r := recover()
		if r != nil {
			fmt.Fprintln(writer, r)
		}
		writer.Flush()
	}()
	solve(scanner, writer)
	for i := 0; i < extra; i++ {
		fmt.Fprintln(writer, "-----------------------------------")
		solve(scanner, writer)
	}
}
func solve(scanner *bufio.Scanner, writer *bufio.Writer) {
	n := getNextInt(scanner)
	q := getNextInt(scanner)
	d := NewDsu(n)
	g := make([][]int, n)
	add := make([]int, n)
	sum := make([]int, n)
	for i := 0; i < n; i++ {
		g[i] = append(g[i], i)
	}
	for q > 0 {
		q--
		t := getNextInt(scanner)
		a := getNextInt(scanner) - 1
		b := getNextInt(scanner)
		switch t {
		case 1:
			b--
			if !d.Same(a, b) {
				if d.Size(a) < d.Size(b) {
					a, b = b, a
				}
				la := d.Leader(a)
				lb := d.Leader(b)
				// lb -> la
				for _, v := range g[lb] {
					sum[v] += add[lb]
					sum[v] -= add[la]
					g[la] = append(g[la], v)
				}
				g[lb] = nil
				add[lb] = 0
				d.Merge(a, b)
			}
		case 2:
			add[d.Leader(a)] += b
		case 3:
			fmt.Fprintln(writer, sum[a]+add[d.Leader(a)])
		}
	}
}

// Dsu Data structures and algorithms for disjoint set union problems
type Dsu struct {
	n            int
	parentOrSize []int
}

// NewDsu Constructor
func NewDsu(n int) *Dsu {
	p := make([]int, n)
	for i := 0; i < n; i++ {
		p[i] = -1
	}
	return &Dsu{parentOrSize: p, n: n}
}

// Merge adds an edge (a, b).
func (d *Dsu) Merge(a, b int) int {
	x := d.Leader(a)
	y := d.Leader(b)
	if x == y {
		return x
	}
	if d.parentOrSize[x] > d.parentOrSize[y] {
		x, y = y, x
	}
	d.parentOrSize[x] += d.parentOrSize[y]
	d.parentOrSize[y] = x
	return x
}

// Same returns whether the vertices a and b are in the same connected component.
func (d *Dsu) Same(a, b int) bool {
	return d.Leader(a) == d.Leader(b)
}

// Leader returns the representative of the connected component that contains the vertex a.
func (d *Dsu) Leader(a int) int {
	if d.parentOrSize[a] < 0 {
		return a
	}
	d.parentOrSize[a] = d.Leader(d.parentOrSize[a])
	return d.parentOrSize[a]
}

// Size returns the size of the connected component that contains the vertex a.
func (d *Dsu) Size(a int) int {
	return -d.parentOrSize[d.Leader(a)]
}

// Groups divides the graph into connected components and returns the list of them.
func (d *Dsu) Groups() [][]int {
	result := make([][]int, d.n)
	for i := 0; i < d.n; i++ {
		l := d.Leader(i)
		result[l] = append(result[l], i)
	}
	return result
}
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