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Problem solution · Go

Codeforces 1931G — One-Dimensional Puzzle

Codeforces 1931G — One-Dimensional Puzzle: 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
100 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 1931G — One-Dimensional Puzzle, 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

  • 100 lines of Go from the credited upstream file 1931G.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 1931G — One-Dimensional Puzzle · GoGo
Use this to learn the idea, then write your own version.
package main import (	"bufio"	. "fmt"	"io") // https://space.bilibili.com/206214const mod31 = 998244353 func pow31(x, n int) (res int) {	x %= mod31	res = 1	for ; n > 0; n /= 2 {		if n%2 > 0 {			res = res * x % mod31		}		x = x * x % mod31	}	return} type comb31 struct{ _f, _invF []int } func newComb31(mx int) *comb31 {	c := &comb31{[]int{1}, []int{1}}	c._grow(mx)	return c} func (c *comb31) _grow(mx int) {	n := len(c._f)	c._f = append(make([]int, 0, mx+1), c._f...)[:mx+1]	for i := n; i <= mx; i++ {		c._f[i] = c._f[i-1] * i % mod31	}	c._invF = append(make([]int, 0, mx+1), c._invF...)[:mx+1]	c._invF[mx] = pow31(c._f[mx], mod31-2)	for i := mx; i > n; i-- {		c._invF[i-1] = c._invF[i] * i % mod31	}} func (c *comb31) f(n int) int {	if n >= len(c._f) {		c._grow(n * 2)	}	return c._f[n]} func (c *comb31) invF(n int) int {	if n >= len(c._f) {		c._grow(n * 2)	}	return c._invF[n]} func (c *comb31) c(n, k int) int {	if k < 0 || k > n {		return 0	}	return c.f(n) * c.invF(k) % mod31 * c.invF(n-k) % mod31} // 盒子有区分，球无区分，允许空盒func (c *comb31) h(box, ball int) int {	return c.c(box+ball-1, ball)} func cf1931G(_r io.Reader, _w io.Writer) {	in := bufio.NewReader(_r)	out := bufio.NewWriter(_w)	defer out.Flush()	cm := newComb31(0) 	var T, a, b, c, d int	for Fscan(in, &T); T > 0; T-- {		Fscan(in, &a, &b, &c, &d)		if a > b {			a, b = b, a		}		if b-a > 1 {			Fprintln(out, 0)		} else if b == 0 {			if c > 0 && d > 0 {				Fprintln(out, 0)			} else {				Fprintln(out, 1)			}		} else if a == b {			Fprintln(out, (cm.h(b, c)*cm.h(b+1, d)+cm.h(b+1, c)*cm.h(b, d))%mod31)		} else {			Fprintln(out, cm.h(b, c)*cm.h(b, d)%mod31)		}	}} //func main() { cf1931G(os.Stdin, os.Stdout) }

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