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Problem solution · Go

Codeforces 623A — Graph and String

Codeforces 623A — Graph and String: a Go solution using direct simulation. Learn the idea, check the complexity, and read the full code, with credit to EndlessCheng Codeforces Go.

Technique
Direct simulation
Source
EndlessCheng Codeforces Go
Length
129 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Direct simulation

For Codeforces 623A — Graph and String, the implementation follows the problem’s operations directly while maintaining only the state needed for the next decision.

  1. Translate each rule into one explicit state update.
  2. Maintain the invariant after every processed item.
  3. Return the accumulated state once all relevant input has been handled.

Code notes

  • 129 lines of Go from the credited upstream file 623A.go.
  • The implementation visibly relies on sequence storage.
  • No explicit loop blocks detected.

Complexity

Count the number and nesting of passes over the input, then include the maintained containers in the memory estimate.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from EndlessCheng Codeforces Go by Σndless (EndlessCheng) and is used under the MIT licence.

Open problem ↗Original source ↗
Full codeCodeforces 623A — Graph and String · GoGo
Use this to learn the idea, then write your own version.
package main import (	"bufio"	. "fmt"	"io") type graph623A struct {	size   int	edges  [][]bool	degree []int	color  []int} func (g *graph623A) add(from, to int) {	g.edges[from][to] = true	g.degree[from]++} func (g *graph623A) addBoth(from, to int) {	g.add(from, to)	if from != to {		g.add(to, from)	}} func (g *graph623A) _isBipartite(v int) bool {	for w, e := range g.edges[v] {		if e || w == v {			continue		}		if g.color[w] == g.color[v] {			return false		}		if g.color[w] == 0 {			g.color[w] = 3 - g.color[v]			if !g._isBipartite(w) {				return false			}		}	}	return true} func (g *graph623A) isBipartite() bool {	checked := false	cnt := 0	for i, deg := range g.degree {		deg = g.size - 1 - deg		if deg > 0 {			if checked {				if g.color[i] == 0 {					return false				}				continue			}			g.color[i] = 1			if !g._isBipartite(i) {				return false			}			for w := range g.edges[i] {				if g.color[w] == 2 {					cnt++				}			}			checked = true		}	}	if cnt > 0 {		for v, c := range g.color {			if c == 1 {				cntW := 0				for w, e := range g.edges[v] {					if e || w == v {						continue					}					if g.color[w] == 2 {						cntW++					}				}				if cntW != cnt {					return false				}			}		}	}	return true} // github.com/EndlessCheng/codeforces-gofunc Sol623A(reader io.Reader, writer io.Writer) {	in := bufio.NewReader(reader)	out := bufio.NewWriter(writer)	defer out.Flush() 	var n, m int	Fscan(in, &n, &m)	g := &graph623A{		size:   n,		edges:  make([][]bool, n),		degree: make([]int, n),		color:  make([]int, n),	}	for i := range g.edges {		g.edges[i] = make([]bool, n)	}	for ; m > 0; m-- {		var v, w int		Fscan(in, &v, &w)		g.addBoth(v-1, w-1)	} 	// 若反图为空或二分图，则存在	if !g.isBipartite() {		Fprint(out, "No")		return	} 	Fprintln(out, "Yes")	for _, c := range g.color {		Fprintf(out, "%c", "bac"[c])	}} //func main() {//	Sol623A(os.Stdin, os.Stdout)//}

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