結果

問題 No.748 yuki国のお財布事情
ユーザー magurogumamaguroguma
提出日時 2020-01-05 15:55:08
言語 Go
(1.22.1)
結果
AC  
実行時間 153 ms / 2,000 ms
コード長 9,936 bytes
コンパイル時間 11,282 ms
コンパイル使用メモリ 198,324 KB
実行使用メモリ 18,524 KB
最終ジャッジ日時 2023-08-14 21:04:05
合計ジャッジ時間 14,818 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge11
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
4,352 KB
testcase_01 AC 1 ms
4,356 KB
testcase_02 AC 1 ms
4,360 KB
testcase_03 AC 1 ms
4,376 KB
testcase_04 AC 1 ms
4,356 KB
testcase_05 AC 1 ms
4,356 KB
testcase_06 AC 2 ms
4,360 KB
testcase_07 AC 1 ms
4,380 KB
testcase_08 AC 1 ms
4,352 KB
testcase_09 AC 1 ms
4,356 KB
testcase_10 AC 1 ms
4,356 KB
testcase_11 AC 2 ms
4,356 KB
testcase_12 AC 2 ms
4,356 KB
testcase_13 AC 16 ms
7,896 KB
testcase_14 AC 33 ms
7,896 KB
testcase_15 AC 19 ms
7,888 KB
testcase_16 AC 54 ms
10,092 KB
testcase_17 AC 122 ms
18,460 KB
testcase_18 AC 141 ms
18,500 KB
testcase_19 AC 153 ms
18,524 KB
testcase_20 AC 135 ms
18,476 KB
testcase_21 AC 139 ms
18,388 KB
testcase_22 AC 2 ms
4,356 KB
testcase_23 AC 1 ms
4,352 KB
testcase_24 AC 1 ms
4,356 KB
testcase_25 AC 123 ms
18,508 KB
testcase_26 AC 139 ms
18,364 KB
testcase_27 AC 131 ms
18,416 KB
testcase_28 AC 112 ms
14,140 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

package main

import (
	"bufio"
	"errors"
	"fmt"
	"io"
	"math"
	"os"
	"sort"
	"strconv"
)

/*********** I/O ***********/

var (
	// ReadString returns a WORD string.
	ReadString func() string
	stdout     *bufio.Writer
)

func init() {
	ReadString = newReadString(os.Stdin)
	stdout = bufio.NewWriter(os.Stdout)
}

func newReadString(ior io.Reader) func() string {
	r := bufio.NewScanner(ior)
	// r.Buffer(make([]byte, 1024), int(1e+11)) // for AtCoder
	r.Buffer(make([]byte, 1024), int(1e+9)) // for Codeforces
	// Split sets the split function for the Scanner. The default split function is ScanLines.
	// Split panics if it is called after scanning has started.
	r.Split(bufio.ScanWords)

	return func() string {
		if !r.Scan() {
			panic("Scan failed")
		}
		return r.Text()
	}
}

// ReadInt returns an integer.
func ReadInt() int {
	return int(readInt64())
}
func ReadInt2() (int, int) {
	return int(readInt64()), int(readInt64())
}
func ReadInt3() (int, int, int) {
	return int(readInt64()), int(readInt64()), int(readInt64())
}
func ReadInt4() (int, int, int, int) {
	return int(readInt64()), int(readInt64()), int(readInt64()), int(readInt64())
}

// ReadInt64 returns as integer as int64.
func ReadInt64() int64 {
	return readInt64()
}
func ReadInt64_2() (int64, int64) {
	return readInt64(), readInt64()
}
func ReadInt64_3() (int64, int64, int64) {
	return readInt64(), readInt64(), readInt64()
}
func ReadInt64_4() (int64, int64, int64, int64) {
	return readInt64(), readInt64(), readInt64(), readInt64()
}

func readInt64() int64 {
	i, err := strconv.ParseInt(ReadString(), 0, 64)
	if err != nil {
		panic(err.Error())
	}
	return i
}

// ReadIntSlice returns an integer slice that has n integers.
func ReadIntSlice(n int) []int {
	b := make([]int, n)
	for i := 0; i < n; i++ {
		b[i] = ReadInt()
	}
	return b
}

// ReadInt64Slice returns as int64 slice that has n integers.
func ReadInt64Slice(n int) []int64 {
	b := make([]int64, n)
	for i := 0; i < n; i++ {
		b[i] = ReadInt64()
	}
	return b
}

// ReadFloat64 returns an float64.
func ReadFloat64() float64 {
	return float64(readFloat64())
}

func readFloat64() float64 {
	f, err := strconv.ParseFloat(ReadString(), 64)
	if err != nil {
		panic(err.Error())
	}
	return f
}

// ReadFloatSlice returns an float64 slice that has n float64.
func ReadFloat64Slice(n int) []float64 {
	b := make([]float64, n)
	for i := 0; i < n; i++ {
		b[i] = ReadFloat64()
	}
	return b
}

// ReadRuneSlice returns a rune slice.
func ReadRuneSlice() []rune {
	return []rune(ReadString())
}

/*********** Debugging ***********/

// ZeroPaddingRuneSlice returns binary expressions of integer n with zero padding.
// For debugging use.
func ZeroPaddingRuneSlice(n, digitsNum int) []rune {
	sn := fmt.Sprintf("%b", n)

	residualLength := digitsNum - len(sn)
	if residualLength <= 0 {
		return []rune(sn)
	}

	zeros := make([]rune, residualLength)
	for i := 0; i < len(zeros); i++ {
		zeros[i] = '0'
	}

	res := []rune{}
	res = append(res, zeros...)
	res = append(res, []rune(sn)...)

	return res
}

// Strtoi is a wrapper of strconv.Atoi().
// If strconv.Atoi() returns an error, Strtoi calls panic.
func Strtoi(s string) int {
	if i, err := strconv.Atoi(s); err != nil {
		panic(errors.New("[argument error]: Strtoi only accepts integer string"))
	} else {
		return i
	}
}

// PrintIntsLine returns integers string delimited by a space.
func PrintIntsLine(A ...int) string {
	res := []rune{}

	for i := 0; i < len(A); i++ {
		str := strconv.Itoa(A[i])
		res = append(res, []rune(str)...)

		if i != len(A)-1 {
			res = append(res, ' ')
		}
	}

	return string(res)
}

// PrintIntsLine returns integers string delimited by a space.
func PrintInts64Line(A ...int64) string {
	res := []rune{}

	for i := 0; i < len(A); i++ {
		str := strconv.FormatInt(A[i], 10) // 64bit int version
		res = append(res, []rune(str)...)

		if i != len(A)-1 {
			res = append(res, ' ')
		}
	}

	return string(res)
}

// PrintDebug is wrapper of fmt.Fprintf(os.Stderr, format, a...)
func PrintDebug(format string, a ...interface{}) {
	fmt.Fprintf(os.Stderr, format, a...)
}

/********** FAU standard libraries **********/

//fmt.Sprintf("%b\n", 255) 	// binary expression

/********** I/O usage **********/

//str := ReadString()
//i := ReadInt()
//X := ReadIntSlice(n)
//S := ReadRuneSlice()
//a := ReadFloat64()
//A := ReadFloat64Slice(n)

//str := ZeroPaddingRuneSlice(num, 32)
//str := PrintIntsLine(X...)

/*
ASCII code

ASCII   10進数  ASCII   10進数  ASCII   10進数
!       33      "       34      #       35
$       36      %       37      &       38
'       39      (       40      )       41
*       42      +       43      ,       44
-       45      .       46      /       47
0       48      1       49      2       50
3       51      4       52      5       53
6       54      7       55      8       56
9       57      :       58      ;       59
<       60      =       61      >       62
?       63      @       64      A       65
B       66      C       67      D       68
E       69      F       70      G       71
H       72      I       73      J       74
K       75      L       76      M       77
N       78      O       79      P       80
Q       81      R       82      S       83
T       84      U       85      V       86
W       87      X       88      Y       89
Z       90      [       91      \       92
]       93      ^       94      _       95
`       96      a       97      b       98
c       99      d       100     e       101
f       102     g       103     h       104
i       105     j       106     k       107
l       108     m       109     n       110
o       111     p       112     q       113
r       114     s       115     t       116
u       117     v       118     w       119
x       120     y       121     z       122
{       123     |       124     }       125
~       126             127
*/

/*******************************************************************/

const (
	// General purpose
	MOD          = 1000000000 + 7
	ALPHABET_NUM = 26
	INF_INT64    = math.MaxInt64
	INF_BIT60    = 1 << 60
	INF_INT32    = math.MaxInt32
	INF_BIT30    = 1 << 30
	NIL          = -1

	// for dijkstra, prim, and so on
	WHITE = 0
	GRAY  = 1
	BLACK = 2
)

var n, m, k int
var E []int
var emap map[int]bool

func main() {
	n, m, k = ReadInt3()
	for i := 0; i < m; i++ {
		a, b, c := ReadInt3()
		a, b = a-1, b-1
		es = append(es, Edge{key: c, id: i, from: a, to: b, cost: c})
	}
	emap = make(map[int]bool)
	for i := 0; i < k; i++ {
		e := ReadInt()
		e--
		E = append(E, e)
		emap[e] = true
	}

	v, e = n, m
	mstTotal := kruskal()
	total := 0
	for i := 0; i < m; i++ {
		total += es[i].cost
	}

	fmt.Println(total - mstTotal)
}

// ※隣接リストのような形で辺を持たない
// ベルマンフォード法のような辺の管理を行う

// 頂点fromから頂点toへのコストcostの辺
// ソートする必要があるためsorterインタフェースを実装する
// type Edge struct {
// 	from, to, cost int
// }

var es []Edge // 辺
var v, e int  // vは頂点数, eは辺数

// O(|E| * log|V|)
func kruskal() int {
	L := EdgeList{}
	for i := 0; i < m; i++ {
		L = append(L, &es[i])
	}
	sort.Stable(byKey{L})

	res := 0
	// 閉路判定用のUF木
	uf := NewUnionFind(v)
	// K本は最初に追加しておく
	for _, e := range L {
		if _, ok := emap[e.id]; ok {
			uf.Unite(e.from, e.to)
			res += e.cost
		}
	}

	// すべての辺についてチェックする
	for _, e := range L {
		// 辺の両端が同じ連結成分に属していない場合のみ全域木のコストに加算する
		if !uf.Same(e.from, e.to) {
			uf.Unite(e.from, e.to)
			res += e.cost
		}
	}

	return res
}

type Edge struct {
	key                int
	id, from, to, cost int
}
type EdgeList []*Edge
type byKey struct {
	EdgeList
}

func (l EdgeList) Len() int {
	return len(l)
}
func (l EdgeList) Swap(i, j int) {
	l[i], l[j] = l[j], l[i]
}

func (l byKey) Less(i, j int) bool {
	return l.EdgeList[i].key < l.EdgeList[j].key
}

// how to use
// L := make(EdgeList, 0, 200000+5)
// L = append(L, &Edge{key: intValue})
// sort.Stable(byKey{ L })                // Stable ASC
// sort.Stable(sort.Reverse(byKey{ L }))  // Stable DESC

// UnionFind provides disjoint set algorithm.
// It accepts both 0-based and 1-based setting.
type UnionFind struct {
	parents []int
}

// NewUnionFind returns a pointer of a new instance of UnionFind.
func NewUnionFind(n int) *UnionFind {
	uf := new(UnionFind)
	uf.parents = make([]int, n+1)

	for i := 0; i <= n; i++ {
		uf.parents[i] = -1
	}

	return uf
}

// Root method returns root node of an argument node.
// Root method is a recursive function.
func (uf *UnionFind) Root(x int) int {
	if uf.parents[x] < 0 {
		return x
	}

	// route compression
	uf.parents[x] = uf.Root(uf.parents[x])
	return uf.parents[x]
}

// Unite method merges a set including x and a set including y.
func (uf *UnionFind) Unite(x, y int) bool {
	xp := uf.Root(x)
	yp := uf.Root(y)

	if xp == yp {
		return false
	}

	// merge: xp -> yp
	// merge larger set to smaller set
	if uf.CcSize(xp) > uf.CcSize(yp) {
		xp, yp = yp, xp
	}
	// update set size
	uf.parents[yp] += uf.parents[xp]
	// finally, merge
	uf.parents[xp] = yp

	return true
}

// Same method returns whether x is in the set including y or not.
func (uf *UnionFind) Same(x, y int) bool {
	return uf.Root(x) == uf.Root(y)
}

// CcSize method returns the size of a set including an argument node.
func (uf *UnionFind) CcSize(x int) int {
	return -uf.parents[uf.Root(x)]
}

/*
- まずは全探索を検討しましょう
- MODは最後にとりましたか？
- ループを抜けた後も処理が必要じゃありませんか？
- 和・積・あまりを求められたらint64が必要ではありませんか？
- いきなりオーバーフローはしていませんか？
- MOD取る系はint64必須ですよ？
*/

/*******************************************************************/
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