package main import ( "bufio" "fmt" "math" "math/big" "os" "strconv" ) // 解答欄 func solve(sc *myScanner, wr *myWriter) { n := sc.getInt() ps := sc.getIntsZeroIndexed(n) uf := newUnionFindTree(n) for i, p := range ps { uf.unite(i, p) } ans := 0 for i := 0; i < n; i++ { if r := uf.findRoot(i); i == r { ans += uf.size(r) - 1 } } wr.println(ans) } // UnionFind Tree type unionFindTree struct { // 備忘録 // 根となる頂点の要素には、特別に以下のような数値が格納されています。 // 「その根が含まれている木」に含まれる頂点の数にマイナスをかけたもの parent []int // 連結成分の個数です cnt int } func newUnionFindTree(n int) *unionFindTree { uf := new(unionFindTree) uf.parent = make([]int, n) for i := range uf.parent { uf.parent[i] = -1 } uf.cnt = n return uf } func (uf *unionFindTree) findRoot(a int) int { if uf.parent[a] < 0 { return a } uf.parent[a] = uf.findRoot(uf.parent[a]) return uf.parent[a] } func (uf *unionFindTree) unite(a, b int) bool { x, y := uf.findRoot(a), uf.findRoot(b) if x == y { return false } if uf.size(x) < uf.size(y) { x, y = y, x } uf.parent[x] += uf.parent[y] uf.parent[y] = x uf.cnt-- return true } func (uf *unionFindTree) sameRoot(a, b int) bool { return uf.findRoot(a) == uf.findRoot(b) } func (uf *unionFindTree) size(a int) int { return -uf.parent[uf.findRoot(a)] } // 入出力の準備(sc, wr) func main() { sc := &myScanner{bufio.NewScanner(os.Stdin)} wr := &myWriter{bufio.NewWriter(os.Stdout)} startBufSize := 4096 maxBufSize := math.MaxInt64 sc.Buffer(make([]byte, startBufSize), maxBufSize) sc.Split(bufio.ScanWords) solve(sc, wr) wr.Flush() } // useful funcs for slice func makeInts(n, x int) []int { res := make([]int, n) for i := range res { res[i] = x } return res } func makeBools(n int, b bool) []bool { res := make([]bool, n) for i := range res { res[i] = b } return res } func countTrue(bs []bool) int { res := 0 for _, b := range bs { if b { res++ } } return res } // input type myScanner struct { *bufio.Scanner } func (sc *myScanner) getInt() int { return sc._getIntOffset(0) } func (sc *myScanner) getInt2() (int, int) { return sc.getInt(), sc.getInt() } func (sc *myScanner) getInt3() (int, int, int) { return sc.getInt(), sc.getInt(), sc.getInt() } func (sc *myScanner) getInt4() (int, int, int, int) { return sc.getInt(), sc.getInt(), sc.getInt(), sc.getInt() } func (sc *myScanner) getInts(n int) []int { return sc._getIntsOffset(n, 0) } func (sc *myScanner) getIntZeroIndexed() int { return sc._getIntOffset(-1) } func (sc *myScanner) getIntsZeroIndexed(n int) []int { return sc._getIntsOffset(n, -1) } func (sc *myScanner) _getIntOffset(x int) int { res, err := strconv.Atoi(sc.getString()) if err != nil { panic(err) } return res + x } func (sc *myScanner) _getIntsOffset(n, x int) []int { res := make([]int, n) for i := range res { res[i] = sc._getIntOffset(x) } return res } func (sc *myScanner) getString() string { sc.Scan() return sc.Text() } func (sc *myScanner) getStrings(n int) []string { res := make([]string, n) for i := range res { res[i] = sc.getString() } return res } func (sc *myScanner) getRunes() []rune { return []rune(sc.getString()) } func (sc *myScanner) getFloat() float64 { res, err := strconv.ParseFloat(sc.getString(), 64) if err != nil { panic(err) } return res } func (sc *myScanner) getFloats(n int) []float64 { res := make([]float64, n) for i := range res { res[i] = sc.getFloat() } return res } // output type myWriter struct { *bufio.Writer } func (wr *myWriter) println(a ...interface{}) { fmt.Fprintln(wr, a...) } func (wr *myWriter) printf(format string, a ...interface{}) { fmt.Fprintf(wr, format, a...) } // simple math funcs for int func max(as ...int) int { res := as[0] for _, a := range as { if res < a { res = a } } return res } func min(as ...int) int { res := as[0] for _, a := range as { if res > a { res = a } } return res } func chMax(a *int, b int) { *a = max(*a, b) } func chMin(a *int, b int) { *a = min(*a, b) } func abs(a int) int { if a < 0 { return -a } return a } func pow(a, n int) int { res := 1 b := a for n > 0 { if n&1 > 0 { res *= b } n >>= 1 b *= b } return res } func sum(s ...int) int { res := 0 for _, v := range s { res += v } return res } func checkPrime(a int) bool { if a == 2 { return true } else if a%2 == 0 { return false } res := true for q := 3; q*q <= a; q += 2 { if a%q == 0 { res = false break } } return res } func toBInt(a int) *big.Int { return big.NewInt(int64(a)) } /* めも int(64)の最大値: 9223372036854775807 = (2^63 - 1) 19桁 10^18 < 2^60 < 2^63 < 10^19 10^19 はintだとオーバーフローする sliceの長さ: 10^8程度までは許される 型によるがそれ以上は Out of memory の危険がある 1~nの和: {n*(n+1)}/2 (1~nの平均値)*n を式変形したもの 先に掛け算をすることで必ず2で割り切れる */